GET /api/ishell_4516nm_5232nm_iras_04303/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.5164210451786415,
        4.516441070691064,
        4.5164610962034875,
        4.51648112171591,
        4.5165011472283325,
        4.516521172740755,
        4.516541198253178,
        4.5165612237656,
        4.5165817260759376,
        4.51660175158836,
        4.516621777100783,
        4.516641802613205,
        4.516661828125628,
        4.516681853638051,
        4.516701879150474,
        4.516721904662896,
        4.516741930175319,
        4.516761955687741,
        4.516781981200164,
        4.516802006712586,
        4.516822032225009,
        4.516842057737431,
        4.516862083249854,
        4.516882108762277,
        4.5169021342747,
        4.516922159787122,
        4.516942185299545,
        4.516962210811967,
        4.51698223632439,
        4.517002261836812,
        4.517022287349235,
        4.5170423128616575,
        4.51706233837408,
        4.517182491448616,
        4.517202516961039,
        4.517222542473461,
        4.517242567985884,
        4.517262593498306,
        4.51728261901073,
        4.517302644523152,
        4.517322670035575,
        4.517342218750082,
        4.517362244262505,
        4.517382269774927,
        4.51740229528735,
        4.517422320799772,
        4.517442346312195,
        4.517462371824618,
        4.517482397337041,
        4.517502422849463,
        4.518280557046456,
        4.518300105760964,
        4.518320131273387,
        4.5183401567858095,
        4.518360182298232,
        4.51837973101274,
        4.518399756525162,
        4.518419782037585,
        4.518439807550007,
        4.518459356264516,
        4.518479381776938,
        4.518499407289361,
        4.518519432801783,
        4.518538981516291,
        4.518559007028713,
        4.518579032541136,
        4.5185985812556435,
        4.518618606768067,
        4.5186386322804895,
        4.518658657792912,
        4.51867820650742,
        4.518698232019842,
        4.518718257532265,
        4.518777857271618,
        4.518797405986126,
        4.518817431498548,
        4.518837457010971,
        4.518857005725478,
        4.518877031237901,
        4.5188970567503235,
        4.518916605464832,
        4.5189366309772545,
        4.518956656489677,
        4.518976205204185,
        4.518996230716607,
        4.51901625622903,
        4.519035804943537,
        4.519055830455961,
        4.519075855968383,
        4.519095404682891,
        4.519115430195313,
        4.519135455707736,
        4.5191550044222435,
        4.519175029934666,
        4.5191945786491745,
        4.519214604161597,
        4.51923462967402,
        4.519254178388527,
        4.51927420390095,
        4.519293752615457,
        4.51931377812788,
        4.519333803640303,
        4.520145313691334,
        4.520164862405841,
        4.520184887918264,
        4.520204436632772,
        4.520224462145195,
        4.520244010859702,
        4.520264036372125,
        4.5202835850866325,
        4.52030313380114,
        4.520323159313563,
        4.520342708028071,
        4.520362733540494,
        4.520382282255001,
        4.520402307767424,
        4.520421856481931,
        4.52044140519644,
        4.520461430708862,
        4.52048097942337,
        4.5205010049357925,
        4.5205205536503,
        4.520540102364808,
        4.52056012787723,
        4.520579676591739,
        4.520599225306246,
        4.520619250818669,
        4.5206387995331765,
        4.520658825045599,
        4.5206783737601075,
        4.520697922474615,
        4.520717947987038,
        4.520737496701545,
        4.520757045416053,
        4.520777070928475,
        4.520796619642984,
        4.5208161683574914,
        4.520836193869914,
        4.520855742584422,
        4.520875291298929,
        4.520895316811352,
        4.52091486552586,
        4.520934414240368,
        4.52095443975279,
        4.520973988467298,
        4.5209935371818055,
        4.521013085896314,
        4.5210331114087365,
        4.521052660123244,
        4.521072208837752,
        4.521092234350174,
        4.521111783064682,
        4.52113133177919,
        4.521151357291613,
        4.5211709060061205,
        4.521190454720628,
        4.521210003435136,
        4.522113535483728,
        4.522133084198236,
        4.522152632912744,
        4.522172181627251,
        4.522191730341759,
        4.5222117558541814,
        4.52223130456869,
        4.5222508532831975,
        4.522270401997705,
        4.522289950712213,
        4.52230949942672,
        4.522329048141229,
        4.522348596855736,
        4.522368145570244,
        4.522387694284752,
        4.522407242999259,
        4.522426791713768,
        4.522446340428275,
        4.522466365940698,
        4.522485914655205,
        4.522505463369713,
        4.5225250120842215,
        4.522544560798729,
        4.522564109513237,
        4.522583658227744,
        4.522603206942252,
        4.52262275565676,
        4.522642304371268,
        4.522661853085776,
        4.522681401800283,
        4.522700950514792,
        4.522720499229299,
        4.522740047943807,
        4.5227595966583145,
        4.522779145372822,
        4.522798694087331,
        4.522818242801838,
        4.522837791516346,
        4.522857340230853,
        4.522876888945362,
        4.5228964376598695,
        4.522915986374377,
        4.522935535088885,
        4.522955083803392,
        4.522974632517901,
        4.522994181232408,
        4.523013729946916,
        4.523033278661424,
        4.523052827375931,
        4.523071899292525,
        4.523091448007032,
        4.52311099672154,
        4.5231305454360475,
        4.523150094150556,
        4.523169642865064,
        4.523949207455801,
        4.523968279372394,
        4.523987828086902,
        4.52400737680141,
        4.524026925515917,
        4.524046474230425,
        4.5240655461470185,
        4.524085094861526,
        4.524104643576034,
        4.524124192290541,
        4.524143264207135,
        4.5241628129216425,
        4.52418236163615,
        4.524201910350658,
        4.524220982267251,
        4.524240530981759,
        4.524260079696266,
        4.524279628410774,
        4.524298700327368,
        4.524318249041875,
        4.524337797756383,
        4.52435734647089,
        4.524376418387484,
        4.5243959671019915,
        4.524415515816499,
        4.524435064531007,
        4.5244541364476,
        4.524473685162108,
        4.5244932338766155,
        4.524512305793208,
        4.524531854507717,
        4.524551403222224,
        4.524570475138817,
        4.5245900238533245,
        4.524609572567833,
        4.524628644484426,
        4.524648193198933,
        4.524667741913441,
        4.5246868138300345,
        4.524706362544542,
        4.52472591125905,
        4.524744983175642,
        4.524764531890151,
        4.524784080604658,
        4.524803152521251,
        4.524822701235759,
        4.524842249950267,
        4.52486132186686,
        4.5248808705813675,
        4.524900419295875,
        4.524919491212469,
        4.524939039926976,
        4.524958588641484,
        4.5249776605580765,
        4.524997209272585,
        4.525016281189178,
        4.525035829903685,
        4.525055378618193,
        4.525074450534786,
        4.525093999249294,
        4.525113071165887,
        4.525132619880395,
        4.525924581216918,
        4.525944129931426,
        4.525963201848018,
        4.525982750562526,
        4.526001822479119,
        4.526021371193627,
        4.52604044311022,
        4.526059991824728,
        4.526079063741321,
        4.5260981356579135,
        4.526117684372421,
        4.526136756289015,
        4.526156305003522,
        4.526175376920115,
        4.5261949256346234,
        4.526213997551216,
        4.526233069467809,
        4.526252618182316,
        4.52627169009891,
        4.5262912388134176,
        4.52631031073001,
        4.526329382646604,
        4.526348931361111,
        4.526368003277704,
        4.526387075194298,
        4.526406623908805,
        4.526425695825398,
        4.5264452445399055,
        4.526464316456499,
        4.526483388373092,
        4.526502937087599,
        4.526522009004193,
        4.5265410809207856,
        4.526560629635293,
        4.526579701551886,
        4.526598773468479,
        4.526618322182987,
        4.52663739409958,
        4.526656466016173,
        4.526676014730681,
        4.5266950866472735,
        4.526714158563866,
        4.526733707278375,
        4.526752779194967,
        4.52677185111156,
        4.5267913998260685,
        4.526810471742661,
        4.526829543659254,
        4.526849092373761,
        4.526868164290355,
        4.526887236206948,
        4.52690630812354,
        4.526925856838049,
        4.5269449287546415,
        4.526964000671234,
        4.526983549385743,
        4.527002621302335,
        4.527021693218928,
        4.527040765135522,
        4.527788384265966,
        4.5278074561825585,
        4.527826528099151,
        4.527846076813659,
        4.527865148730252,
        4.527884220646845,
        4.527903292563438,
        4.527922364480031,
        4.527941436396624,
        4.527960508313217,
        4.52797958022981,
        4.527998652146403,
        4.5280182008609104,
        4.528037272777504,
        4.528056344694097,
        4.528075416610689,
        4.528094488527283,
        4.528113560443876,
        4.528132632360468,
        4.528151704277062,
        4.5281707761936545,
        4.528189848110247,
        4.528208920026841,
        4.528227991943433,
        4.528247063860026,
        4.52826613577662,
        4.528285684491127,
        4.52830475640772,
        4.5283238283243135,
        4.528342900240906,
        4.528361972157499,
        4.528381044074092,
        4.528400115990685,
        4.528419187907278,
        4.528438259823871,
        4.528457331740464,
        4.528476403657057,
        4.52849547557365,
        4.528514547490243,
        4.5285336194068355,
        4.528552691323429,
        4.528571763240022,
        4.528590835156614,
        4.528609907073208,
        4.528628978989801,
        4.528648050906393,
        4.528667122822987,
        4.52868619473958,
        4.528705266656172,
        4.528724338572766,
        4.5287434104893585,
        4.528762482405951,
        4.528781554322545,
        4.528800626239137,
        4.52881969815573,
        4.528838770072324,
        4.528857841988916,
        4.528876913905509,
        4.528895509024188,
        4.52891458094078,
        4.528933652857373,
        4.5297513612812965,
        4.529769956399975,
        4.529789028316568,
        4.5298081002331605,
        4.529827172149754,
        4.529846244066347,
        4.5298648391850245,
        4.529883911101618,
        4.529902983018211,
        4.529922054934803,
        4.529940650053482,
        4.529959721970075,
        4.529978793886668,
        4.529997865803261,
        4.530016937719854,
        4.530035532838532,
        4.530054604755125,
        4.530073676671718,
        4.530092748588311,
        4.530111343706989,
        4.5301304156235815,
        4.530149487540175,
        4.530168082658853,
        4.530187154575446,
        4.530206226492039,
        4.530225298408632,
        4.53024389352731,
        4.530262965443903,
        4.530282037360496,
        4.530300632479174,
        4.530319704395767,
        4.530338776312361,
        4.530357848228953,
        4.530376443347631,
        4.530395515264225,
        4.530414587180817,
        4.530433182299495,
        4.5304522542160885,
        4.530471326132681,
        4.53048992125136,
        4.5305089931679525,
        4.530528065084545,
        4.530546660203224,
        4.5305657321198165,
        4.530584804036409,
        4.530603399155088,
        4.5306224710716805,
        4.530641542988273,
        4.530660138106952,
        4.5306792100235445,
        4.530698281940138,
        4.530716877058816,
        4.530735948975408,
        4.530754544094087,
        4.53077361601068,
        4.530792687927272,
        4.530811283045951,
        4.530830354962544,
        4.530848950081222,
        4.530868021997815,
        4.530887093914408,
        4.530905689033086,
        4.530924760949679,
        4.530943356068358,
        4.53096242798495,
        4.530981499901543,
        4.531000095020222,
        4.531019166936814,
        4.531716245488287,
        4.5317353174048804,
        4.531753912523558,
        4.531772507642237,
        4.5317915795588295,
        4.531810174677507,
        4.531829246594101,
        4.5318478417127785,
        4.531866913629372,
        4.53188550874805,
        4.5319045806646425,
        4.531923175783321,
        4.531941770901999,
        4.5319608428185925,
        4.53197943793727,
        4.531998509853863,
        4.5320171049725415,
        4.532035700091219,
        4.532054772007813,
        4.532073367126491,
        4.532092439043083,
        4.532111034161762,
        4.53212962928044,
        4.532148701197033,
        4.532167296315711,
        4.532186368232304,
        4.532204963350982,
        4.53222355846966,
        4.5322426303862535,
        4.532261225504931,
        4.53227982062361,
        4.532298892540203,
        4.53231748765888,
        4.532336559575474,
        4.532355154694152,
        4.53237374981283,
        4.532392821729423,
        4.532411416848101,
        4.532430011966779,
        4.532449083883372,
        4.532467679002051,
        4.532486274120728,
        4.532505346037321,
        4.532523941156,
        4.532542536274677,
        4.532561608191271,
        4.532580203309949,
        4.5325987984286265,
        4.53261787034522,
        4.532636465463898,
        4.532655060582576,
        4.532673655701254,
        4.532692727617847,
        4.532711322736525,
        4.532729917855203,
        4.532748989771797,
        4.5327675848904745,
        4.532786180009153,
        4.532804775127831,
        4.5328238470444235,
        4.532842442163102,
        4.53286103728178,
        4.5328796324004585,
        4.532898704317051,
        4.53291729943573,
        4.532935894554408,
        4.532954966471,
        4.532973561589679,
        4.532992156708357,
        4.533010751827035,
        4.533029346945713,
        4.533048418862306,
        4.53370210880353,
        4.533720703922208,
        4.533739299040886,
        4.533757894159565,
        4.533776489278242,
        4.533795084396921,
        4.533814156313514,
        4.533832751432191,
        4.53385134655087,
        4.533869941669548,
        4.5338885367882265,
        4.533907131906904,
        4.533925727025583,
        4.533944322144261,
        4.533962917262939,
        4.533981512381617,
        4.534000107500296,
        4.534018702618973,
        4.534037774535566,
        4.534056369654245,
        4.534074964772922,
        4.534093559891601,
        4.534112155010279,
        4.534130750128957,
        4.534149345247635,
        4.534167940366313,
        4.5341865354849915,
        4.534205130603669,
        4.534409676909129,
        4.5344282720278075,
        4.534446867146485,
        4.534465462265164,
        4.534484057383842,
        4.53450265250252,
        4.534521247621198,
        4.534539842739876,
        4.534558437858554,
        4.534577032977232,
        4.534595628095911,
        4.5346142232145885,
        4.534632818333267,
        4.534651413451945,
        4.5346700085706235,
        4.534688603689301,
        4.534707198807979,
        4.534725793926658,
        4.534744389045335,
        4.534762984164014,
        4.534781102484777,
        4.5347996976034555,
        4.534818292722133,
        4.534836887840812,
        4.53485548295949,
        4.534874078078168,
        4.534892673196846,
        4.534911268315525,
        4.534929863434202,
        4.53494845855288,
        4.534967053671559,
        4.5349856487902365,
        4.535003767111,
        4.535022362229678,
        4.5350409573483565,
        4.535059552467034,
        4.535670807393839,
        4.535689402512517,
        4.535707520833281,
        4.535726115951959,
        4.535744711070637,
        4.535763306189315,
        4.535781424510079,
        4.5358000196287565,
        4.535818614747435,
        4.535837209866113,
        4.5358553281868765,
        4.535873923305554,
        4.535892518424232,
        4.535911113542911,
        4.5359292318636735,
        4.535947826982352,
        4.53596642210103,
        4.5359850172197085,
        4.536077039217269,
        4.536095634335948,
        4.5361142294546255,
        4.536132347775389,
        4.536150942894067,
        4.536169538012746,
        4.536187656333508,
        4.536206251452187,
        4.536224846570865,
        4.5362429648916285,
        4.536261560010306,
        4.536280155128985,
        4.536298750247663,
        4.536316868568426,
        4.536335463687104,
        4.536354058805782,
        4.5363721771265455,
        4.536390772245223,
        4.536409367363902,
        4.536427485684666,
        4.536446080803343,
        4.536464199124107,
        4.536482794242785,
        4.5365013893614625,
        4.536519507682226,
        4.536538102800904,
        4.536556697919583,
        4.536574816240345,
        4.536593411359024,
        4.536612006477702,
        4.5366301247984655,
        4.536648719917143,
        4.536666838237907,
        4.536685433356585,
        4.536704028475263,
        4.536722146796026,
        4.536740741914705,
        4.536758860235468,
        4.536777455354146,
        4.536796050472824,
        4.536814168793588,
        4.536832763912265,
        4.536850882233029,
        4.536869477351707,
        4.5368880724703855,
        4.536906190791148,
        4.536924785909827,
        4.53694290423059,
        4.536961499349268,
        4.536979617670031,
        4.53699821278871,
        4.537016331109473,
        4.537034926228151,
        4.537053521346829,
        4.537915571976831,
        4.537933690297595,
        4.537952285416273,
        4.537970403737036,
        4.5379885220578,
        4.538007117176478,
        4.5380252354972415,
        4.538043353818004,
        4.538061948936683,
        4.538080067257446,
        4.538098662376124,
        4.538116780696887,
        4.538134899017651,
        4.538153494136329,
        4.538171612457092,
        4.538189730777855,
        4.538208325896534,
        4.538226444217297,
        4.53824456253806,
        4.538263157656738,
        4.538281275977502,
        4.538299394298265,
        4.538317989416943,
        4.538336107737706,
        4.53835422605847,
        4.5383728211771475,
        4.538390939497911,
        4.538409057818675,
        4.538427652937353,
        4.538445771258116,
        4.538463889578879,
        4.538482484697558,
        4.538500603018321,
        4.538518721339084,
        4.538537316457762,
        4.538555434778526,
        4.538573553099289,
        4.538591671420052,
        4.53861026653873,
        4.538628384859494,
        4.5386465031802565,
        4.538665098298935,
        4.538683216619699,
        4.538701334940462,
        4.538719453261225,
        4.538738048379903,
        4.538756166700667,
        4.53877428502143,
        4.538792403342193,
        4.538810998460871,
        4.538829116781635,
        4.538847235102398,
        4.538865353423161,
        4.538883948541839,
        4.538902066862603,
        4.5389201851833665,
        4.538938303504129,
        4.538956421824893,
        4.538975016943571,
        4.5389931352643345,
        4.539011253585097,
        4.539029371905861,
        4.539047967024539,
        4.539066085345302,
        4.539084203666065,
        4.539102321986829,
        4.539120440307593,
        4.539775083844646,
        4.539793202165409,
        4.539811320486172,
        4.539829438806936,
        4.5398480339256135,
        4.539866152246377,
        4.539884270567141,
        4.539902388887904,
        4.5399205072086675,
        4.53993862552943,
        4.539956743850194,
        4.539974862170957,
        4.5399929804917205,
        4.540011098812484,
        4.540029217133247,
        4.540047335454011,
        4.5400654537747736,
        4.540083572095537,
        4.5401016904163,
        4.540119808737064,
        4.5401379270578275,
        4.54015604537859,
        4.540174163699354,
        4.540192282020117,
        4.5402104003408805,
        4.540228518661643,
        4.540246636982407,
        4.54026475530317,
        4.540282873623934,
        4.540300991944697,
        4.54031911026546,
        4.540337228586224,
        4.540355346906987,
        4.54037346522775,
        4.540391583548513,
        4.540409701869277,
        4.5404278201900405,
        4.540445938510803,
        4.540464056831567,
        4.54048217515233,
        4.540500293473094,
        4.540518411793856,
        4.54053653011462,
        4.540554648435384,
        4.540572766756147,
        4.54059088507691,
        4.540609003397673,
        4.540627121718437,
        4.5406452400392,
        4.5406628815620484,
        4.540680999882812,
        4.540699118203575,
        4.540717236524339,
        4.5407353548451015,
        4.540753473165865,
        4.540771591486628,
        4.540789709807392,
        4.540807828128155,
        4.540825946448918,
        4.540844064769682,
        4.540862183090445,
        4.5408798246132935,
        4.540897942934057,
        4.54091606125482,
        4.540934179575584,
        4.540952297896347,
        4.54097041621711,
        4.540988534537873,
        4.541006652858637,
        4.541024294381486,
        4.541042412702248,
        4.541060531023012,
        4.541078649343775,
        4.541096767664539,
        4.541114885985301,
        4.541133004306065,
        4.541150645828914,
        4.541763331149463,
        4.541781449470226,
        4.5417995677909895,
        4.541817686111752,
        4.541835327634601,
        4.541853445955365,
        4.541871564276128,
        4.541889682596891,
        4.54190732411974,
        4.541925442440503,
        4.541943560761267,
        4.5419612022841145,
        4.541979320604878,
        4.541997438925641,
        4.542015557246405,
        4.5420331987692535,
        4.542051317090016,
        4.54206943541078,
        4.542087076933629,
        4.542105195254392,
        4.542123313575155,
        4.542140955098003,
        4.542159073418767,
        4.54217719173953,
        4.5421948332623785,
        4.542212951583142,
        4.542231069903905,
        4.542248711426754,
        4.5422668297475175,
        4.54228494806828,
        4.542302589591129,
        4.542320707911892,
        4.542338826232656,
        4.542356467755504,
        4.542374586076267,
        4.542392704397031,
        4.542410345919879,
        4.5424284642406425,
        4.542446105763491,
        4.542464224084254,
        4.542482342405018,
        4.542499983927866,
        4.542518102248629,
        4.542536220569393,
        4.542553862092241,
        4.542571980413005,
        4.5425896219358535,
        4.542607740256616,
        4.54262585857738,
        4.542643500100228,
        4.542661618420992,
        4.54267925994384,
        4.542697378264603,
        4.542715019787452,
        4.542733138108215,
        4.5427512564289785,
        4.542768897951827,
        4.54278701627259,
        4.542804657795439,
        4.542822776116202,
        4.54284041763905,
        4.542858535959814,
        4.542876654280577,
        4.542894295803426,
        4.5429124141241894,
        4.542930055647037,
        4.542948173967801,
        4.542965815490649,
        4.542983933811413,
        4.543001575334261,
        4.543019693655024,
        4.543037335177873,
        4.543055453498637,
        4.543073095021485,
        4.543091213342248,
        4.543108854865096,
        4.54312697318586,
        4.543144614708709,
        4.5431627330294715,
        4.543180851350235,
        4.543198492873084,
        4.5438235749394185,
        4.543841216462266,
        4.543858857985115,
        4.543876976305879,
        4.543894617828727,
        4.5439122593515755,
        4.543930377672338,
        4.543948019195187,
        4.543966137515951,
        4.543983779038799,
        4.5440014205616475,
        4.544019538882411,
        4.544037180405259,
        4.544054821928108,
        4.5440729402488715,
        4.544090581771719,
        4.544108223294568,
        4.544126341615331,
        4.54414398313818,
        4.544161624661029,
        4.544179742981791,
        4.54419738450464,
        4.544215026027489,
        4.544233144348252,
        4.5442507858711005,
        4.544268427393949,
        4.544286545714712,
        4.544304187237561,
        4.54432182876041,
        4.5443399470811725,
        4.544357588604021,
        4.54437523012687,
        4.544392871649718,
        4.544410989970482,
        4.54442863149333,
        4.544446273016178,
        4.544464391336942,
        4.54448203285979,
        4.544499674382639,
        4.5445173159054875,
        4.54453543422625,
        4.544553075749099,
        4.544570717271948,
        4.544588835592711,
        4.544606477115559,
        4.544624118638408,
        4.544641760161256,
        4.54465987848202,
        4.544677520004869,
        4.5446951615277165,
        4.544712803050565,
        4.544730921371329,
        4.544748562894177,
        4.544766204417026,
        4.544783845939874,
        4.544801487462722,
        4.544819605783486,
        4.544837247306335,
        4.544854888829183,
        4.544872530352031,
        4.544890648672794,
        4.544908290195643,
        4.544925931718492,
        4.544943573241341,
        4.5449612147641885,
        4.544979333084952,
        4.5449969746078,
        4.545014616130649,
        4.545032257653498,
        4.5450498991763455,
        4.545067540699194,
        4.545085659019958,
        4.545103300542806,
        4.545881911537714,
        4.545899553060563,
        4.545917194583411,
        4.54593483610626,
        4.5459524776291085,
        4.545970119151956,
        4.545987760674805,
        4.546005402197654,
        4.546023043720502,
        4.546040685243351,
        4.546058326766199,
        4.546075968289047,
        4.546093609811896,
        4.546111251334745,
        4.546128892857593,
        4.5461465343804415,
        4.54616417590329,
        4.546181817426138,
        4.546199458948987,
        4.546217100471836,
        4.5462347419946845,
        4.546252383517532,
        4.546270025040381,
        4.54628766656323,
        4.546305308086078,
        4.546322949608927,
        4.546340591131775,
        4.546358232654623,
        4.546375874177472,
        4.546393038902406,
        4.546410680425254,
        4.5464283219481025,
        4.546445963470951,
        4.5464636049938,
        4.546481246516648,
        4.546498888039497,
        4.5465165295623455,
        4.546534171085193,
        4.546551812608042,
        4.546569454130891,
        4.546587095653739,
        4.546604737176588,
        4.546622378699436,
        4.546640020222284,
        4.546657184947218,
        4.546674826470067,
        4.546692467992916,
        4.546710109515764,
        4.546727751038612,
        4.546745392561461,
        4.546763034084309,
        4.546780675607158,
        4.546798317130007,
        4.5468154818549396,
        4.546833123377788,
        4.546850764900637,
        4.546868406423485,
        4.546886047946334,
        4.5469036894691826,
        4.546921330992031,
        4.546938972514879,
        4.546956137239813,
        4.546973778762662,
        4.54699142028551,
        4.5470090618083585,
        4.547026703331207,
        4.547044344854055,
        4.54721980648671,
        4.547237448009559,
        4.547255089532408,
        4.547272254257342,
        4.54728989578019,
        4.5473075373030385,
        4.547325178825887,
        4.547342820348735,
        4.547359985073669,
        4.547377626596518,
        4.547395268119367,
        4.5474129096422145,
        4.547430551165063,
        4.54800843023783,
        4.5480255949627635,
        4.548043236485612,
        4.548060878008461,
        4.548078042733394,
        4.548095684256243,
        4.5481133257790916,
        4.548130490504025,
        4.548148132026873,
        4.548165773549722,
        4.548182938274656,
        4.548200579797504,
        4.548218221320353,
        4.548235386045286,
        4.548253027568135,
        4.548270192293068,
        4.548287833815917,
        4.548305475338766,
        4.5483226400637,
        4.5483402815865475,
        4.548357923109396,
        4.54837508783433,
        4.548392729357178,
        4.548409894082112,
        4.548427535604961,
        4.548445177127809,
        4.548462341852742,
        4.548479983375591,
        4.548497148100525,
        4.548514789623374,
        4.548532431146222,
        4.5485495958711555,
        4.548567237394004,
        4.548584402118938,
        4.548602043641786,
        4.548619685164635,
        4.548636849889569,
        4.5486544914124165,
        4.54867165613735,
        4.548689297660199,
        4.548706462385133,
        4.548724103907981,
        4.54874174543083,
        4.5487589101557635,
        4.548776551678612,
        4.548793716403545,
        4.548811357926394,
        4.548828522651328,
        4.548846164174176,
        4.54886332889911,
        4.548880970421958,
        4.548898135146892,
        4.54891577666974,
        4.548932941394674,
        4.548950582917523,
        4.549124614156433,
        4.549142255679282,
        4.549159420404216,
        4.54917658512915,
        4.549194226651998,
        4.549211391376931,
        4.54922903289978,
        4.549246197624714,
        4.549263839147562,
        4.549281003872496,
        4.549298645395345,
        4.549315810120278,
        4.549333451643126,
        4.54935061636806,
        4.549368257890909,
        4.549385422615843,
        4.549403064138691,
        4.5494202288636245,
        4.549437393588558,
        4.549455035111406,
        4.54947219983634,
        4.549489841359189,
        4.549507006084123,
        4.549524647606971,
        4.5495418123319045,
        4.549558977056838,
        4.55009680510476,
        4.5501139698296935,
        4.550131611352542,
        4.550148776077476,
        4.55016594080241,
        4.550183105527343,
        4.550200747050192,
        4.550217911775126,
        4.550235076500059,
        4.550252718022907,
        4.550269882747841,
        4.550287047472775,
        4.550304688995624,
        4.550321853720557,
        4.550339018445491,
        4.5503561831704245,
        4.550373824693273,
        4.550390989418206,
        4.55040815414314,
        4.550425795665989,
        4.550442960390923,
        4.5504601251158565,
        4.5504772898407895,
        4.550494931363638,
        4.550512096088572,
        4.550529260813506,
        4.550546425538439,
        4.550564067061288,
        4.5505812317862215,
        4.550598396511155,
        4.550615561236088,
        4.550633202758937,
        4.550650367483871,
        4.550667532208805,
        4.550684696933739,
        4.550702338456587,
        4.55071950318152,
        4.550736667906454,
        4.550753832631388,
        4.550770997356321,
        4.55078863887917,
        4.550805803604104,
        4.5508229683290375,
        4.550840133053971,
        4.550857297778904,
        4.550874939301753,
        4.551047063349005,
        4.5510647048718536,
        4.5510818695967865,
        4.55109903432172,
        4.551116199046654,
        4.551133363771588,
        4.551150528496522,
        4.551167693221455,
        4.551185334744304,
        4.5512024994692375,
        4.551219664194171,
        4.551236828919104,
        4.551253993644038,
        4.551271158368972,
        4.551288323093906,
        4.551305964616755,
        4.551323129341688,
        4.551340294066621,
        4.551357458791555,
        4.551374623516489,
        4.551391788241423,
        4.551408952966356,
        4.55142611769129,
        4.551443282416224,
        4.551460923939072,
        4.551478088664005,
        4.551495253388939,
        4.551512418113873,
        4.551529582838807,
        4.551546747563741,
        4.551563912288674,
        4.551581077013608,
        4.551598241738541,
        4.551615406463475,
        4.551632571188409,
        4.551649735913342,
        4.551666900638276,
        4.551684542161125,
        4.551701706886059,
        4.551718871610992,
        4.551736036335925,
        4.552199483909135,
        4.552216648634069,
        4.552233813359002,
        4.5522509780839355,
        4.552268142808869,
        4.552285307533803,
        4.552302472258737,
        4.55231963698367,
        4.552336801708604,
        4.552353966433538,
        4.552371131158472,
        4.5523878190854905,
        4.552404983810424,
        4.552422148535357,
        4.552439313260291,
        4.552456477985225,
        4.552473642710159,
        4.552490807435093,
        4.552507972160026,
        4.5525251368849595,
        4.552542301609893,
        4.552559466334827,
        4.552576631059761,
        4.552593795784694,
        4.552610483711713,
        4.552627648436647,
        4.552644813161581,
        4.5526619778865145,
        4.552679142611448,
        4.552696307336381,
        4.552713472061315,
        4.552730636786249,
        4.552747801511183,
        4.552764489438202,
        4.552781654163135,
        4.55296998933949,
        4.552987154064424,
        4.553003841991443,
        4.553021006716377,
        4.553038171441311,
        4.553055336166244,
        4.553072500891178,
        4.5530896656161115,
        4.55310635354313,
        4.553123518268064,
        4.553140682992998,
        4.553157847717931,
        4.553175012442865,
        4.553191700369884,
        4.553208865094818,
        4.5532260298197516,
        4.5532431945446845,
        4.553260359269618,
        4.553277047196637,
        4.553294211921571,
        4.553311376646505,
        4.553328541371439,
        4.553345706096372,
        4.553362394023391,
        4.553379558748325,
        4.553396723473258,
        4.553413888198192,
        4.553430576125211,
        4.553447740850144,
        4.553464905575078,
        4.553482070300012,
        4.553498758227031,
        4.553515922951965,
        4.5535330876768985,
        4.553550252401831,
        4.55356694032885,
        4.553584105053784,
        4.553601269778718,
        4.553618434503652,
        4.553635122430671,
        4.553652287155604,
        4.553669451880538,
        4.5536861398075565,
        4.554865499449875,
        4.556044859092192,
        4.556064884604615,
        4.556085386914952,
        4.556510690654975,
        4.556530716167398,
        4.55655074167982,
        4.556571243990158,
        4.55659126950258,
        4.556611771812918,
        4.55663179732534,
        4.556652299635678,
        4.5566723251481,
        4.556692350660523,
        4.55671285297086,
        4.556894512976409,
        4.556915015286746,
        4.556935040799169,
        4.556955066311591,
        4.556975568621929,
        4.556995594134351,
        4.557015619646774,
        4.557036121957111,
        4.557056147469534,
        4.557076172981957,
        4.557096675292294,
        4.557116700804717,
        4.55713672631714,
        4.557157228627477,
        4.5571772541399,
        4.557197279652322,
        4.55721778196266,
        4.557237807475082,
        4.557257832987505,
        4.557277858499927,
        4.557298360810265,
        4.557318386322687,
        4.55733841183511,
        4.557358914145447,
        4.55737893965787,
        4.557398965170293,
        4.557418990682716,
        4.557439492993053,
        4.557459518505476,
        4.557479544017898,
        4.557500046328236,
        4.557520071840658,
        4.557540097353081,
        4.557560122865503,
        4.557580625175841,
        4.557600650688263,
        4.557620676200686,
        4.557640701713108,
        4.557660727225531,
        4.557681229535868,
        4.557701255048292,
        4.557721280560714,
        4.557741306073137,
        4.557761808383474,
        4.557781833895897,
        4.557801859408319,
        4.557821884920742,
        4.557841910433164,
        4.557862412743502,
        4.557882438255924,
        4.557902463768347,
        4.557922489280769,
        4.557942514793192,
        4.557963017103529,
        4.557983042615953,
        4.558003068128375,
        4.558023093640798,
        4.55804311915322,
        4.558063144665643,
        4.55808364697598,
        4.558103672488403,
        4.558123698000825,
        4.558143723513248,
        4.55816374902567,
        4.558183774538093,
        4.558203800050516,
        4.558224302360854,
        4.558244327873276,
        4.558264353385699,
        4.558926148891475,
        4.558946174403897,
        4.55896619991632,
        4.558986225428742,
        4.559006250941165,
        4.559026276453587,
        4.55904630196601,
        4.559066327478432,
        4.559086352990856,
        4.559106378503278,
        4.559126404015701,
        4.559146429528123,
        4.559166455040546,
        4.5591864805529685,
        4.559206506065391,
        4.5592265315778135,
        4.559246557090236,
        4.559266582602659,
        4.559286608115082,
        4.5593066336275045,
        4.559326659139927,
        4.559346207854435,
        4.559366233366857,
        4.55938625887928,
        4.559406284391702,
        4.559426309904125,
        4.559446335416547,
        4.559466360928971,
        4.559486386441393,
        4.559506411953816,
        4.559526437466238,
        4.559546462978661,
        4.559566488491083,
        4.559586037205591,
        4.5596060627180135,
        4.559626088230437,
        4.559646113742859,
        4.559666139255282,
        4.5596861647677045,
        4.559706190280127,
        4.5597262157925496,
        4.559745764507057,
        4.55976579001948,
        4.559785815531902,
        4.559805841044326,
        4.559825866556748,
        4.559845892069171,
        4.559865917581593,
        4.559885466296101,
        4.559905491808523,
        4.559925517320946,
        4.559945542833368,
        4.559965568345791,
        4.559985593858214,
        4.560005142572722,
        4.5600251680851445,
        4.560045193597567,
        4.5600652191099895,
        4.560085244622412,
        4.560105270134835,
        4.560124818849342,
        4.560144844361766,
        4.560164869874188,
        4.560184895386611,
        4.560204920899033,
        4.560224469613541,
        4.560244495125963,
        4.560264520638386,
        4.560284546150808,
        4.560304094865317,
        4.560324120377739,
        4.560344145890162,
        4.560364171402584,
        4.560383720117092,
        4.560403745629515,
        4.560423771141937,
        4.56044379665436,
        4.560463345368868,
        4.560483370881291,
        4.560921071367099,
        4.560940620081607,
        4.5609606455940295,
        4.560980671106452,
        4.56100021982096,
        4.561020245333382,
        4.561040270845805,
        4.561059819560313,
        4.561079845072736,
        4.561099393787243,
        4.561119419299666,
        4.561139444812088,
        4.561158993526596,
        4.5611790190390185,
        4.561199044551442,
        4.5612185932659495,
        4.561238618778372,
        4.56125816749288,
        4.561278193005302,
        4.561298218517725,
        4.561317767232233,
        4.561337792744656,
        4.561357341459163,
        4.561377366971586,
        4.561397392484008,
        4.561416941198516,
        4.5614369667109385,
        4.561456515425447,
        4.5614765409378695,
        4.561496089652377,
        4.5615161151648,
        4.561536140677222,
        4.56155568939173,
        4.561575714904152,
        4.561595263618661,
        4.561615289131083,
        4.561634837845591,
        4.561654863358013,
        4.561674412072521,
        4.5616944375849435,
        4.561713986299452,
        4.5617340118118745,
        4.561753560526382,
        4.561773586038805,
        4.561793134753312,
        4.561813160265735,
        4.561832708980243,
        4.561852734492666,
        4.561872283207173,
        4.561892308719596,
        4.5619118574341035,
        4.561931882946526,
        4.561951431661034,
        4.561971457173457,
        4.561991005887965,
        4.562011031400387,
        4.562030580114895,
        4.562050605627317,
        4.562070154341825,
        4.562090179854248,
        4.562109728568756,
        4.5621297540811785,
        4.562149302795686,
        4.562169328308109,
        4.562188877022616,
        4.562208425737125,
        4.562228451249547,
        4.562247999964055,
        4.562268025476477,
        4.562287574190985,
        4.5623075997034075,
        4.562327148417916,
        4.562346697132424,
        4.562366722644846,
        4.562386271359354,
        4.562406296871776,
        4.562425845586284,
        4.562445394300792,
        4.562465419813215,
        4.5624849685277225,
        4.562504994040145,
        4.562524542754653,
        4.56254409146916,
        4.562564116981584,
        4.562583665696091,
        4.562603691208514,
        4.562623239923021,
        4.562642788637529,
        4.5626628141499515,
        4.56268236286446,
        4.563056649227597,
        4.563076197942104,
        4.563096223454527,
        4.563115772169035,
        4.563135320883543,
        4.563155346395965,
        4.563174895110473,
        4.5631944438249805,
        4.563213992539488,
        4.5632340180519115,
        4.563253566766419,
        4.563273115480927,
        4.563292664195434,
        4.563312689707857,
        4.563332238422365,
        4.563351787136873,
        4.5633713358513806,
        4.563391361363803,
        4.563410910078311,
        4.563430458792819,
        4.563450007507327,
        4.563470033019749,
        4.563489581734257,
        4.5635091304487645,
        4.563528679163272,
        4.563548227877781,
        4.563568253390203,
        4.563587802104711,
        4.563607350819218,
        4.563626899533726,
        4.563646448248234,
        4.563666473760657,
        4.5636860224751645,
        4.563705571189672,
        4.56372511990418,
        4.563744668618688,
        4.563764694131111,
        4.563784242845618,
        4.563803791560126,
        4.5638233402746335,
        4.563842888989142,
        4.56386243770365,
        4.563881986418157,
        4.56390201193058,
        4.563921560645087,
        4.563941109359596,
        4.5639606580741034,
        4.563980206788611,
        4.563999755503119,
        4.564019304217626,
        4.56403932973005,
        4.564058878444557,
        4.564078427159065,
        4.5640979758735725,
        4.56411752458808,
        4.5641370733025886,
        4.564156622017096,
        4.564176170731604,
        4.564195719446111,
        4.564215744958534,
        4.564235293673042,
        4.56425484238755,
        4.564274391102058,
        4.564293939816565,
        4.564313488531073,
        4.564333037245581,
        4.564352585960089,
        4.5643721346745965,
        4.564391683389104,
        4.5644112321036125,
        4.56443078081812,
        4.564450329532628,
        4.564469878247135,
        4.564489903759558,
        4.5645094524740655,
        4.564529001188574,
        4.564548549903082,
        4.564568098617589,
        4.564587647332097,
        4.564607196046605,
        4.564626744761113,
        4.5646462934756205,
        4.564665842190128,
        4.564685390904636,
        4.564704939619144,
        4.564724488333652,
        4.564744037048159,
        4.564763585762667,
        4.565251826827447,
        4.565271375541955,
        4.565290447458548,
        4.565309996173056,
        4.565329544887564,
        4.565349093602071,
        4.565368642316579,
        4.5653881910310865,
        4.565407739745595,
        4.565427288460103,
        4.56544683717461,
        4.565465909091203,
        4.565485457805711,
        4.565505006520219,
        4.5655245552347266,
        4.565544103949234,
        4.565563652663743,
        4.56558320137825,
        4.565602750092758,
        4.5656218220093505,
        4.565641370723858,
        4.565660919438367,
        4.565680468152874,
        4.565700016867382,
        4.565719565581889,
        4.565738637498483,
        4.565875001702122,
        4.565894550416631,
        4.565914099131138,
        4.565933647845646,
        4.5659527197622385,
        4.565972268476747,
        4.565991817191255,
        4.566011365905762,
        4.566030437822355,
        4.5660499865368624,
        4.566069535251371,
        4.5660890839658785,
        4.566108632680386,
        4.566127704596979,
        4.566147253311487,
        4.566166802025995,
        4.5661863507405025,
        4.566205422657095,
        4.566224971371604,
        4.566244520086111,
        4.566264068800619,
        4.5662831407172115,
        4.56630268943172,
        4.566322238146228,
        4.56634131006282,
        4.566360858777328,
        4.566380407491836,
        4.566399956206344,
        4.566419028122937,
        4.566438576837444,
        4.566458125551953,
        4.566477197468545,
        4.566496746183053,
        4.566516294897561,
        4.566535843612069,
        4.566554915528662,
        4.566574464243169,
        4.566594012957677,
        4.5666130848742705,
        4.566632633588778,
        4.566652182303286,
        4.566671254219878,
        4.566690802934387,
        4.5667103516488945,
        4.566729423565487,
        4.566748972279995,
        4.566768520994503,
        4.566787592911096,
        4.5668071416256035,
        4.566826690340111,
        4.566845762256705,
        4.5669039316023134,
        4.566962100947921,
        4.566981649662429,
        4.5670007215790225,
        4.56702027029353,
        4.567039342210123,
        4.567058890924631,
        4.567078439639139,
        4.5670975115557315,
        4.567117060270239,
        4.567136132186833,
        4.56715568090134,
        4.567175229615848,
        4.5671943015324405,
        4.567213850246949,
        4.567232922163542,
        4.5674841946646545,
        4.567503743379162,
        4.567522815295755,
        4.567542364010262,
        4.567561435926856,
        4.5675809846413635,
        4.567600056557956,
        4.567619605272464,
        4.567638677189057,
        4.567658225903565,
        4.567677297820158,
        4.567696846534665,
        4.567715918451259,
        4.567735467165766,
        4.567754539082359,
        4.5677740877968676,
        4.56779315971346,
        4.567812708427968,
        4.5678317803445605,
        4.567851329059069,
        4.567870400975662,
        4.567889949690169,
        4.567909021606763,
        4.56792857032127,
        4.567947642237863,
        4.567967190952371,
        4.567986262868964,
        4.568005334785557,
        4.5680248835000645,
        4.568043955416658,
        4.568063504131166,
        4.568082576047758,
        4.568102124762266,
        4.5681211966788595,
        4.568140268595452,
        4.56815981730996,
        4.568178889226553,
        4.568198437941061,
        4.568217509857654,
        4.568236581774246,
        4.568256130488755,
        4.5682752024053475,
        4.568294751119855,
        4.568313823036448,
        4.568332894953041,
        4.568352443667549,
        4.568371515584142,
        4.568390587500735,
        4.568410136215243,
        4.568429208131835,
        4.568448756846343,
        4.5684678287629366,
        4.568486900679529,
        4.568506449394037,
        4.56852552131063,
        4.568544593227223,
        4.568564141941731,
        4.568583213858324,
        4.568602285774917,
        4.5686218344894245,
        4.568640906406017,
        4.568659978322611,
        4.568679527037118,
        4.568698598953711,
        4.568717670870305,
        4.568737219584812,
        4.568756291501405,
        4.568775363417998,
        4.568794912132506,
        4.568813984049099,
        4.568833055965691,
        4.568852127882285,
        4.5688716765967925,
        4.568890748513385,
        4.568909820429979,
        4.568929369144486,
        4.568948441061079,
        4.568967512977673,
        4.569006133608773,
        4.5690252055253655,
        4.569044277441959,
        4.569063349358552,
        4.569082898073059,
        4.569101969989653,
        4.569121041906246,
        4.569140113822838,
        4.569159662537347,
        4.569178734453939,
        4.569197806370532,
        4.569216878287126,
        4.569236427001633,
        4.569255498918226,
        4.569274570834819,
        4.569293642751412,
        4.569312714668005,
        4.569332263382512,
        4.569351335299106,
        4.569370407215699,
        4.569389479132291,
        4.569408551048885,
        4.5694280997633925,
        4.569447171679985,
        4.569466243596578,
        4.569485315513171,
        4.569504387429764,
        4.5697342040247095,
        4.569753275941302,
        4.56977282465581,
        4.569791896572403,
        4.569810968488996,
        4.569830040405589,
        4.569849112322182,
        4.569868184238775,
        4.569887256155368,
        4.569906328071961,
        4.569925876786469,
        4.5699449487030614,
        4.569964020619655,
        4.569983092536248,
        4.57000216445284,
        4.570021236369434,
        4.570040308286027,
        4.570059380202619,
        4.570078452119213,
        4.5700975240358055,
        4.570116595952398,
        4.570135667868992,
        4.570155216583499,
        4.570174288500092,
        4.570193360416686,
        4.570212432333278,
        4.570231504249871,
        4.5702505761664645,
        4.570269648083057,
        4.57028871999965,
        4.570307791916243,
        4.570326863832836,
        4.570345935749429,
        4.570365007666022,
        4.570384079582615,
        4.570403151499208,
        4.570422223415801,
        4.570441295332394,
        4.5704603672489865,
        4.57047943916558,
        4.570498511082173,
        4.570517582998765,
        4.570536654915359,
        4.570555726831952,
        4.570574798748544,
        4.570593870665138,
        4.570612942581731,
        4.570632014498323,
        4.570651086414917,
        4.5706701583315095,
        4.570689230248102,
        4.570708302164696,
        4.570727374081288,
        4.570746445997881,
        4.570765517914475,
        4.570784589831067,
        4.57080366174766,
        4.5708227336642535,
        4.570841805580846,
        4.570860877497439,
        4.570879949414032,
        4.570899021330625,
        4.570918093247218,
        4.570937165163811,
        4.570955760282489,
        4.570974832199082,
        4.570993904115675,
        4.571012976032268,
        4.571032047948861,
        4.571051119865454,
        4.571070191782047,
        4.5710892636986395,
        4.571108335615233,
        4.571127407531826,
        4.5711464794484185,
        4.571165074567097,
        4.57118414648369,
        4.571203218400282,
        4.571222290316876,
        4.571241362233469,
        4.571260434150061,
        4.571279506066655,
        4.571298577983248,
        4.571317173101926,
        4.571336245018519,
        4.5713553169351115,
        4.571374388851705,
        4.571393460768298,
        4.5714125326848905,
        4.571431604601484,
        4.571450199720162,
        4.571469271636754,
        4.571488343553348,
        4.571507415469941,
        4.571526487386533,
        4.571545559303127,
        4.571564154421805,
        4.571583226338397,
        4.571602298254991,
        4.5716213701715835,
        4.571640442088176,
        4.57165951400477,
        4.5716781091234475,
        4.571697181040041,
        4.571716252956634,
        4.571735324873226,
        4.57175439678982,
        4.571772991908498,
        4.57179206382509,
        4.5720009013117835,
        4.572019496430462,
        4.572038568347055,
        4.5720576402636475,
        4.572076712180241,
        4.572095307298919,
        4.5721143792155114,
        4.572133451132105,
        4.572152046250783,
        4.572171118167376,
        4.572190190083969,
        4.572209262000562,
        4.57222785711924,
        4.57232273990429,
        4.572341811820883,
        4.572360406939561,
        4.5723794788561545,
        4.572398550772747,
        4.572417145891425,
        4.5724362178080185,
        4.572455289724611,
        4.572473884843289,
        4.572492956759882,
        4.572512028676475,
        4.572530623795154,
        4.572549695711746,
        4.572568767628339,
        4.572587362747018,
        4.57260643466361,
        4.572625506580203,
        4.572644101698882,
        4.572663173615474,
        4.572681768734153,
        4.572700840650746,
        4.572719912567338,
        4.572738507686017,
        4.57275757960261,
        4.572776651519202,
        4.572795246637881,
        4.5729273196602875,
        4.57294639157688,
        4.572965463493473,
        4.5729840586121515,
        4.573003130528744,
        4.573021725647422,
        4.5730407975640155,
        4.573059392682693,
        4.573078464599287,
        4.5730975365158795,
        4.573116131634557,
        4.573135203551151,
        4.5731537986698285,
        4.573172870586421,
        4.5731914657051,
        4.5732105376216925,
        4.573229132740371,
        4.573248204656964,
        4.5732667997756415,
        4.573285871692235,
        4.573304943608828,
        4.573323538727506,
        4.573342610644099,
        4.573361205762777,
        4.57338027767937,
        4.573398872798048,
        4.573417944714641,
        4.573436539833319,
        4.573455611749912,
        4.573474206868591,
        4.573493278785183,
        4.573511873903861,
        4.573530945820455,
        4.5735495409391325,
        4.573568612855726,
        4.573587207974404,
        4.573606279890996,
        4.573624875009675,
        4.573643470128353,
        4.573662542044946,
        4.573681137163624,
        4.573700209080217,
        4.573718804198895,
        4.573737876115488,
        4.573756471234167,
        4.573775543150759,
        4.573794138269437,
        4.573813210186031,
        4.5738318053047085,
        4.573850400423387,
        4.57386947233998,
        4.5738880674586575,
        4.573907139375251,
        4.573925734493929,
        4.573944806410522,
        4.5739634015292,
        4.573981996647878,
        4.574001068564471,
        4.574019663683149,
        4.574038735599743,
        4.5740573307184205,
        4.574075925837098,
        4.574094997753692,
        4.574263784215539,
        4.5742828561321325,
        4.57430145125081,
        4.574320046369489,
        4.5743391182860815,
        4.574357713404759,
        4.574376308523438,
        4.574395380440031,
        4.574413975558709,
        4.574432570677387,
        4.57445164259398,
        4.574470237712658,
        4.574488832831336,
        4.57450790474793,
        4.574526499866607,
        4.574545094985286,
        4.574564166901879,
        4.574582762020556,
        4.574601357139235,
        4.574619952257913,
        4.574639024174506,
        4.574657619293184,
        4.574676214411863,
        4.574695286328455,
        4.574713881447133,
        4.574732476565812,
        4.5747510716844895,
        4.574770143601083,
        4.574788738719761,
        4.5748073338384385,
        4.574826405755032,
        4.57484500087371,
        4.5748635959923885,
        4.574882191111066,
        4.574901263027659,
        4.5749198581463375,
        4.574938453265015,
        4.574957048383694,
        4.5749761203002866,
        4.574994715418965,
        4.575013310537643,
        4.575031905656321,
        4.575050977572914,
        4.575069572691592,
        4.575088167810271,
        4.575106762928948,
        4.575125358047627,
        4.57514442996422,
        4.575163025082897,
        4.575181620201576,
        4.575200215320254,
        4.575218810438932,
        4.575237882355525,
        4.575256477474204,
        4.5752750725928815,
        4.575293667711559,
        4.575312262830238,
        4.5753313347468305,
        4.575349929865509,
        4.575368524984187,
        4.5753871201028655,
        4.575405715221543,
        4.575424310340221,
        4.575443382256815,
        4.575461977375492,
        4.575480572494171,
        4.575499167612849,
        4.575517762731527,
        4.575536357850205,
        4.575554952968883,
        4.575574024885476,
        4.575592620004154,
        4.575611215122833,
        4.5756298102415105,
        4.575648405360189,
        4.575667000478867,
        4.5756855955975455,
        4.575704190716223,
        4.575723262632816,
        4.575741857751495,
        4.575760452870172,
        4.575779047988851,
        4.575797643107529,
        4.575816238226207,
        4.575834833344885,
        4.575853428463563,
        4.575872023582241,
        4.575890618700919,
        4.575909690617513,
        4.5759282857361905,
        4.575946880854869,
        4.575965475973547,
        4.575984071092225,
        4.576002666210903,
        4.576021261329581,
        4.57603985644826,
        4.576058451566937,
        4.576077046685616,
        4.576095641804294,
        4.576114236922972,
        4.57613283204165,
        4.576151427160329,
        4.5761700222790065,
        4.576188617397684,
        4.576207212516363,
        4.576225807635041,
        4.576244402753719,
        4.576262997872397,
        4.5762820697889905,
        4.576300664907668,
        4.576319260026346,
        4.576337855145025,
        4.576356450263702,
        4.576375045382381,
        4.576393640501059,
        4.576412235619737,
        4.576579114889926,
        4.5765977100086035,
        4.576616305127282,
        4.57663490024596,
        4.5766534953646385,
        4.576672090483316,
        4.576690685601995,
        4.576709280720673,
        4.57672787583935,
        4.576746470958029,
        4.576765066076707,
        4.576783661195385,
        4.576802256314063,
        4.576820851432742,
        4.5768394465514195,
        4.576857564872183,
        4.576876159990861,
        4.57689475510954,
        4.576913350228217,
        4.576931945346896,
        4.576950540465574,
        4.5769691355842514,
        4.57698773070293,
        4.577006325821608,
        4.5770249209402865,
        4.577043039261049,
        4.577061634379728,
        4.577080229498406,
        4.577098824617084,
        4.577117419735762,
        4.577136014854441,
        4.577154609973118,
        4.577173205091796,
        4.57719132341256,
        4.5772099185312385,
        4.577228513649916,
        4.577247108768594,
        4.577265703887273,
        4.57728429900595,
        4.577302894124629,
        4.577321012445392,
        4.57733960756407,
        4.577358202682748,
        4.577376797801427,
        4.5773953929201046,
        4.577413988038783,
        4.577432106359546,
        4.577450701478225,
        4.577469296596902,
        4.57748789171558,
        4.577506486834259,
        4.577524605155022,
        4.5775432002737,
        4.577561795392378,
        4.577580390511057,
        4.577598985629734,
        4.577617103950498,
        4.577635699069176,
        4.577654294187854,
        4.577672889306532,
        4.577691484425211,
        4.577709602745974,
        4.577728197864652,
        4.57774679298333,
        4.577765388102009,
        4.577783506422771,
        4.57780210154145,
        4.577820696660128,
        4.5778392917788056,
        4.577857410099569,
        4.577876005218248,
        4.577894600336926,
        4.577913195455603,
        4.577931313776367,
        4.577949908895045,
        4.5779685040137235,
        4.577987099132401,
        4.578005217453165,
        4.578023812571843,
        4.578042407690521,
        4.578060526011284,
        4.578079121129963,
        4.5780977162486405,
        4.578116311367319,
        4.578134429688082,
        4.578153024806761,
        4.578171619925438,
        4.578189738246202,
        4.57820833336488,
        4.578226928483558,
        4.578245046804321,
        4.578263641923,
        4.578282237041678,
        4.578300355362441,
        4.578318950481119,
        4.578337545599798,
        4.5783556639205605,
        4.578374259039239,
        4.578392854157917,
        4.578410972478681,
        4.578429567597358,
        4.578448162716036,
        4.5784662810368,
        4.578484876155478,
        4.578503471274156,
        4.57852158959492,
        4.578540184713598,
        4.578558779832275,
        4.578576898153039,
        4.578595493271717,
        4.5786136115924805,
        4.578632206711158,
        4.578650801829837,
        4.5786689201506,
        4.578687515269278,
        4.578705633590041,
        4.57872422870872,
        4.5787428238273975,
        4.578760942148161,
        4.578889677585163,
        4.578908272703842,
        4.578926391024605,
        4.578944986143283,
        4.578963581261961,
        4.578981699582725,
        4.579000294701403,
        4.579018413022166,
        4.579037008140844,
        4.579055126461608,
        4.5790737215802855,
        4.579091839901049,
        4.579110435019727,
        4.5791290301384056,
        4.579147148459168,
        4.579165743577847,
        4.57918386189861,
        4.5792024570172885,
        4.579220575338051,
        4.57923917045673,
        4.579257288777493,
        4.579275883896171,
        4.579294002216935,
        4.579312597335613,
        4.5793307156563765,
        4.579349310775054,
        4.579367429095818,
        4.579386024214496,
        4.579404142535259,
        4.579422737653937,
        4.579440855974701,
        4.579459451093379,
        4.579477569414142,
        4.57949616453282,
        4.579514282853584,
        4.579532401174347,
        4.579550996293025,
        4.579569114613788,
        4.579587709732467,
        4.5796058280532295,
        4.579624423171908,
        4.579642541492671,
        4.5796611366113495,
        4.579679254932112,
        4.579697373252876,
        4.579715968371554,
        4.5797340866923175,
        4.579752681810995,
        4.579770800131759,
        4.579789395250437,
        4.5798075135712,
        4.579825631891963,
        4.579844227010642,
        4.579862345331405,
        4.579880940450083,
        4.579899058770846,
        4.57991717709161,
        4.580082149170139,
        4.580100267490902,
        4.580118862609581,
        4.580136980930344,
        4.580155099251107,
        4.580173694369785,
        4.580191812690549,
        4.580209931011312,
        4.58022852612999,
        4.580246644450753,
        4.580264762771517,
        4.5802833578901945,
        4.580301476210958,
        4.580319594531722,
        4.5803381896504,
        4.580356307971163,
        4.580374426291926,
        4.580393021410605,
        4.580411139731368,
        4.580429258052131,
        4.580447853170809,
        4.580465971491573,
        4.580484089812336,
        4.580502684931014,
        4.580520803251777,
        4.580538921572541,
        4.5805570398933035,
        4.580575635011982,
        4.580593753332745,
        4.580611871653509,
        4.580630466772186,
        4.58064858509295,
        4.580666703413714,
        4.580684821734477,
        4.580703416853155,
        4.580721535173918,
        4.580739653494682,
        4.580757771815445,
        4.580776366934123,
        4.580794485254886,
        4.58081260357565,
        4.580830721896413,
        4.580849317015091,
        4.580867435335854,
        4.580885553656618,
        4.5809036719773815,
        4.580922267096059,
        4.580940385416823,
        4.580958503737586,
        4.580976622058349,
        4.580995217177027,
        4.581013335497791,
        4.581031453818554,
        4.581049572139317,
        4.58106769046008,
        4.581086285578759,
        4.581104403899522,
        4.581213590622017,
        4.58123170894278,
        4.581249827263544,
        4.581267945584306,
        4.581286540702985,
        4.581304659023748,
        4.5813227773445115,
        4.581340895665275,
        4.581359013986038,
        4.581377132306802,
        4.581395250627565,
        4.581413845746243,
        4.581431964067006,
        4.58145008238777,
        4.581468200708533,
        4.581486319029296,
        4.58150443735006,
        4.581522555670823,
        4.581541150789501,
        4.581559269110264,
        4.581577387431028,
        4.581595505751791,
        4.5816136240725545,
        4.581631742393317,
        4.581649860714081,
        4.581667979034845,
        4.5816860973556075,
        4.581704692474286,
        4.581722810795049,
        4.581740929115813,
        4.5817590474365755,
        4.581777165757339,
        4.581795284078102,
        4.581813402398866,
        4.581831520719629,
        4.581849639040392,
        4.581867757361156,
        4.581885875681919,
        4.5819039940026824,
        4.581922112323445,
        4.581940230644209,
        4.581958825762887,
        4.58197694408365,
        4.581995062404414,
        4.582013180725177,
        4.582031299045941,
        4.5820494173667035,
        4.582067535687467,
        4.58208565400823,
        4.582103772328994,
        4.5821218906497565,
        4.58214000897052,
        4.582158127291284,
        4.582176245612047,
        4.58219436393281,
        4.582212482253573,
        4.582230600574337,
        4.5822487188951,
        4.5822668372158635,
        4.582284955536627,
        4.58230307385739,
        4.582321192178154,
        4.5823393104989165,
        4.58235742881968,
        4.582375547140443,
        4.582393665461207,
        4.5824117837819704,
        4.582429902102733,
        4.582448020423497,
        4.58246613874426,
        4.5824842570650235,
        4.582502375385786,
        4.58252049370655,
        4.582538612027314,
        4.5825567303480765,
        4.582574371870925,
        4.582592490191688,
        4.582610608512452,
        4.582628726833215,
        4.582646845153978,
        4.582664963474742,
        4.582683081795505,
        4.582701200116269,
        4.582719318437031,
        4.582737436757795,
        4.582755555078558,
        4.582773673399322,
        4.582791791720085,
        4.582809910040848,
        4.582827551563697,
        4.58284566988446,
        4.582863788205223,
        4.582881906525986,
        4.58290002484675,
        4.582918143167514,
        4.5829362614882765,
        4.58295437980904,
        4.582972498129803,
        4.582990139652652,
        4.5830082579734155,
        4.583026376294178,
        4.583044494614942,
        4.583062612935705,
        4.5830807312564685,
        4.583098849577231,
        4.583116967897995,
        4.583134609420844,
        4.583152727741607,
        4.58317084606237,
        4.583188964383133,
        4.583207082703897,
        4.58322520102466,
        4.5832428425475085,
        4.583260960868272,
        4.583279079189035,
        4.583297197509799,
        4.5833153158305615,
        4.583333434151325,
        4.583351075674174,
        4.583369193994937,
        4.5833873123157005,
        4.583405430636463,
        4.583423548957227,
        4.583441190480076,
        4.583459308800839,
        4.583477427121602,
        4.583567541927504,
        4.583585660248267,
        4.583603301771116,
        4.5836214200918795,
        4.583639538412642,
        4.583657656733406,
        4.583675775054169,
        4.583693416577018,
        4.58371153489778,
        4.583729653218544,
        4.583747771539308,
        4.583765413062156,
        4.583783531382919,
        4.583801649703682,
        4.583819768024446,
        4.583837409547295,
        4.5838555278680575,
        4.583873646188821,
        4.583891287711669,
        4.5839275243531965,
        4.583945642673959,
        4.583963284196808,
        4.583981402517571,
        4.583999520838335,
        4.584017162361183,
        4.584035280681946,
        4.58405339900271,
        4.584071517323473,
        4.5840891588463215,
        4.584107277167085,
        4.584125395487848,
        4.584143037010697,
        4.58416115533146,
        4.584179273652223,
        4.584196915175072,
        4.584215033495835,
        4.584233151816599,
        4.584250793339447,
        4.58426891166021,
        4.584287029980974,
        4.584304671503822,
        4.5843227898245855,
        4.584340908145348,
        4.584358549668197,
        4.584376667988961,
        4.584394786309724,
        4.584412427832572,
        4.584430546153336,
        4.584448187676184,
        4.584466305996948,
        4.5844844243177105,
        4.584502065840559,
        4.584520184161323,
        4.584538302482086,
        4.584555944004935,
        4.584574062325697,
        4.584591703848546,
        4.58460982216931,
        4.584627940490073,
        4.5846455820129215,
        4.584663700333684,
        4.584681341856533,
        4.584699460177297,
        4.58471757849806,
        4.584735220020908,
        4.584753338341672,
        4.58477097986452,
        4.584789098185284,
        4.584806739708132,
        4.584824858028895,
        4.584842976349659,
        4.584860617872507,
        4.584878736193271,
        4.584896377716119,
        4.584914496036882,
        4.584932137559731,
        4.584950255880494,
        4.5849678974033425,
        4.584986015724106,
        4.585004134044869,
        4.585021775567718,
        4.585039893888481,
        4.585057535411329,
        4.585075653732093,
        4.585093295254941,
        4.585111413575705,
        4.5851290550985535,
        4.585147173419316,
        4.585164814942165,
        4.585182933262928,
        4.585200574785777,
        4.58521869310654,
        4.585236334629388,
        4.585254452950152,
        4.585272094473001,
        4.585290212793764,
        4.585307854316612,
        4.585325972637375,
        4.585343614160224,
        4.585361732480988,
        4.5853793740038356,
        4.585397492324599,
        4.585415133847448,
        4.585433252168211,
        4.58545089369106,
        4.585468535213908,
        4.585486653534671,
        4.58550429505752,
        4.585522413378283,
        4.585540054901132,
        4.585558173221895,
        4.585575814744743,
        4.585593933065507,
        4.585611574588356,
        4.5856292161112036,
        4.585647334431967,
        4.585664975954815,
        4.585683094275579,
        4.585700735798428,
        4.5857188541191904,
        4.585736495642039,
        4.585754137164888,
        4.585772255485651,
        4.5857898970085,
        4.585808015329262,
        4.585825656852111,
        4.58584329837496,
        4.585861416695723,
        4.585986337749407,
        4.586003979272255,
        4.586021620795104,
        4.586039739115868,
        4.5860573806387155,
        4.586075022161564,
        4.586093140482328,
        4.586110782005176,
        4.586128423528025,
        4.586146541848788,
        4.586164183371636,
        4.586181824894485,
        4.586199943215249,
        4.586217584738097,
        4.586235226260945,
        4.586253344581708,
        4.586270986104557,
        4.586288627627406,
        4.586306745948169,
        4.586324387471017,
        4.586342028993866,
        4.586360147314629,
        4.586377788837478,
        4.5863954303603265,
        4.586413548681089,
        4.586431190203938,
        4.586448831726787,
        4.586466473249635,
        4.5864845915703985,
        4.586502233093247,
        4.586519874616095,
        4.586537992936859,
        4.586555634459707,
        4.5865732759825555,
        4.586590917505404,
        4.586609035826167,
        4.586626677349016,
        4.586644318871865,
        4.5866619603947125,
        4.586680078715476,
        4.586697720238325,
        4.586715361761173,
        4.586733480081937,
        4.586751121604785,
        4.586768763127633,
        4.586786404650482,
        4.586804046173331,
        4.586822164494094,
        4.586839806016942,
        4.586857447539791,
        4.586875089062639,
        4.586893207383403,
        4.586910848906252,
        4.5869284904290994,
        4.586946131951948,
        4.586963773474797,
        4.58698189179556,
        4.586999533318409,
        4.587017174841257,
        4.587034816364105,
        4.587052457886954,
        4.587070576207717,
        4.587088217730566,
        4.587105859253414,
        4.587123500776263,
        4.587141142299111,
        4.587159260619875,
        4.5873714356919715,
        4.587389554012734,
        4.587407195535583,
        4.587424837058432,
        4.58744247858128,
        4.5874601201041285,
        4.587477761626977,
        4.587495403149826,
        4.587513044672674,
        4.587531162993438,
        4.5875488045162855,
        4.587566446039134,
        4.587584087561983,
        4.587601729084831,
        4.58761937060768,
        4.5876370121305285,
        4.587654653653377,
        4.587672295176225,
        4.587689936699074,
        4.587708055019837,
        4.587725696542686,
        4.587743338065534,
        4.587760979588383,
        4.587778621111231,
        4.58779626263408,
        4.587813904156929,
        4.5878315456797765,
        4.587849187202625,
        4.587866828725474,
        4.587884470248322,
        4.587902111771171,
        4.5879197532940195,
        4.587937394816867,
        4.587955036339716,
        4.587972677862565,
        4.587990319385413,
        4.5880084377061765,
        4.588026079229025,
        4.588043720751873,
        4.588061362274722,
        4.588079003797571,
        4.588096645320419,
        4.588114286843267,
        4.588131928366116,
        4.588149569888964,
        4.588167211411813,
        4.588184852934662,
        4.5882024944575095,
        4.588220135980358,
        4.588237777503207,
        4.588255419026056,
        4.588343626640298,
        4.588361268163147,
        4.588378909685995,
        4.588396551208843,
        4.588413715933777,
        4.588431357456625,
        4.588448998979474,
        4.588466640502323,
        4.5884842820251714,
        4.588501923548019,
        4.588519565070868,
        4.588537206593717,
        4.588554848116565,
        4.5885724896394136,
        4.588590131162262,
        4.58860777268511,
        4.588625414207959,
        4.588643055730808,
        4.588660697253656,
        4.588678338776504,
        4.588695980299353,
        4.588713145024287,
        4.588730786547135,
        4.588748428069984,
        4.5887660695928325,
        4.58878371111568,
        4.588801352638529,
        4.588818994161378,
        4.588836635684226,
        4.588854277207075,
        4.588871918729923,
        4.588889083454856,
        4.588906724977705,
        4.588924366500554,
        4.588942008023403,
        4.588959649546251,
        4.588977291069099,
        4.588994932591948,
        4.589012574114796,
        4.58902973883973,
        4.589047380362579,
        4.5890650218854265,
        4.589082663408275,
        4.589100304931124,
        4.589117946453972,
        4.589135587976821,
        4.589152752701755,
        4.589170394224603,
        4.589188035747451,
        4.5892056772703,
        4.589223318793149,
        4.589240960315997,
        4.589258125040931,
        4.589275766563779,
        4.589293408086628,
        4.589311049609476,
        4.589328691132325,
        4.589345855857259,
        4.5893634973801065,
        4.589381138902955,
        4.589398780425804,
        4.589416421948652,
        4.589433586673586,
        4.589451228196435,
        4.589468869719283,
        4.589486511242131,
        4.58950415276498,
        4.589521317489914,
        4.589538959012762,
        4.5895566005356105,
        4.589574242058459,
        4.589591883581307,
        4.589609048306241,
        4.58962668982909,
        4.589644331351939,
        4.5896619728747865,
        4.58967913759972,
        4.589696779122569,
        4.589714420645417,
        4.589732062168266,
        4.5897492268932,
        4.589766868416048,
        4.589784509938896,
        4.589802151461745,
        4.589819316186679,
        4.589836957709527,
        4.589854599232376,
        4.5898717639573094,
        4.589889405480158,
        4.589907047003006,
        4.589924688525855,
        4.589941853250789,
        4.5899594947736375,
        4.589977136296485,
        4.589994301021419,
        4.590011942544268,
        4.590029584067116,
        4.59004674879205,
        4.5900643903148985,
        4.590082031837747,
        4.590099673360595,
        4.590116838085529,
        4.590134479608378,
        4.590152121131226,
        4.59016928585616,
        4.590186927379008,
        4.590204568901857,
        4.59022173362679,
        4.590239375149639,
        4.590257016672488,
        4.5902741813974215,
        4.590291822920269,
        4.590309464443118,
        4.590326629168052,
        4.5903442706909,
        4.590361435415834,
        4.5903790769386825,
        4.590396718461531,
        4.590413883186464,
        4.590431524709313,
        4.590449166232162,
        4.590466330957095,
        4.5904839724799436,
        4.590501614002792,
        4.590518778727726,
        4.590536420250574,
        4.590553584975508,
        4.590571226498357,
        4.590588868021205,
        4.590606032746138,
        4.590623674268987,
        4.590640838993921,
        4.590658480516769,
        4.590676122039618,
        4.590693286764552,
        4.5907109282874,
        4.590728093012333,
        4.590745734535182,
        4.590762899260116,
        4.590780540782965,
        4.590798182305813,
        4.5908153470307465,
        4.590832988553595,
        4.590850153278529,
        4.590867794801377,
        4.590884959526311,
        4.59090260104916,
        4.590919765774093,
        4.590937407296941,
        4.59095504881979,
        4.590972213544724,
        4.590989855067572,
        4.591007019792506,
        4.5910246613153545,
        4.591041826040288,
        4.591059467563136,
        4.59107663228807,
        4.591094273810919,
        4.591111438535853,
        4.591129080058701,
        4.591146244783634,
        4.591163886306483,
        4.591181051031417,
        4.591198692554265,
        4.591215857279199,
        4.591233498802048,
        4.591250663526981,
        4.591268305049829,
        4.591285469774763,
        4.591303111297612,
        4.591320276022546,
        4.591337917545394,
        4.5913550822703275,
        4.591372723793176,
        4.591389888518109,
        4.591407530040958,
        4.591424694765892,
        4.591442336288741,
        4.591459501013674,
        4.5914766657386075,
        4.591494307261456,
        4.59151147198639,
        4.591529113509238,
        4.591546278234172,
        4.591563919757021,
        4.5915810844819545,
        4.591598726004802,
        4.591615890729736,
        4.59163305545467,
        4.591650696977519,
        4.591667861702452,
        4.591685503225301,
        4.591702667950234,
        4.591720309473083,
        4.591737474198016,
        4.59175463892295,
        4.591772280445799,
        4.591789445170733,
        4.5918070866935805,
        4.591824251418514,
        4.591841416143448,
        4.591859057666297,
        4.59187622239123,
        4.591893863914079,
        4.591911028639013,
        4.591928193363946,
        4.591945834886794,
        4.591962999611728,
        4.591980164336662,
        4.591997805859511,
        4.592014970584445,
        4.5920326121072925,
        4.592049776832226,
        4.59206694155716,
        4.592084583080008,
        4.592101747804942,
        4.592118912529876,
        4.592136554052725,
        4.592153718777658,
        4.592170883502591,
        4.59218852502544,
        4.592205689750374,
        4.592222854475308,
        4.592240495998156,
        4.59225766072309,
        4.5922748254480235,
        4.592292466970872,
        4.592309631695805,
        4.592326796420739,
        4.592344437943588,
        4.592361602668522,
        4.592378767393455,
        4.5923959321183885,
        4.592413573641237,
        4.592430738366171,
        4.592447903091105,
        4.592465544613953,
        4.592482709338887,
        4.5924998740638205,
        4.592517515586669,
        4.592534680311602,
        4.592551845036536,
        4.59256900976147,
        4.592586651284319,
        4.592603816009252,
        4.592620980734186,
        4.592638145459119,
        4.592655786981968,
        4.592672951706901,
        4.592690116431835,
        4.592707281156769,
        4.592724922679618,
        4.5927420874045515,
        4.592759252129484,
        4.592776416854418,
        4.592794058377267,
        4.592811223102201,
        4.592828387827134,
        4.592845552552068,
        4.5928631940749165,
        4.59288035879985,
        4.592897523524784,
        4.592914688249717,
        4.592931852974651,
        4.5929494944975,
        4.592966659222434,
        4.592983823947367,
        4.5930009886723004,
        4.593018153397234,
        4.593035794920083,
        4.593052959645017,
        4.59307012436995,
        4.593087289094884,
        4.593104453819818,
        4.593122095342666,
        4.593139260067599,
        4.593156424792533,
        4.593173589517467,
        4.593190754242401,
        4.593207918967335,
        4.593225560490183,
        4.5932427252151165,
        4.59325988994005,
        4.593277054664984,
        4.593294219389917,
        4.593311384114851,
        4.5933290256377,
        4.593346190362634,
        4.593363355087567,
        4.5933805198125,
        4.593397684537434,
        4.593414849262368,
        4.593432013987302,
        4.59344965551015,
        4.593466820235084,
        4.5934839849600175,
        4.593501149684951,
        4.593518314409885,
        4.593535479134818,
        4.593552643859752,
        4.593569808584686,
        4.59358697330962,
        4.5936046148324685,
        4.5936217795574015,
        4.593638944282335,
        4.593656109007269,
        4.593673273732203,
        4.593690438457137,
        4.59370760318207,
        4.593724767907004,
        4.5937419326319375,
        4.593759097356871,
        4.593776262081804,
        4.593793903604653,
        4.593811068329587,
        4.593828233054521,
        4.593845397779455,
        4.595185438319067,
        4.596559808308548,
        4.596580310618886,
        4.596600812929223,
        4.5966213152395605,
        4.596641817549898,
        4.596662319860235,
        4.596682345372658,
        4.596702847682995,
        4.596723349993333,
        4.59674385230367,
        4.596764354614008,
        4.596784856924345,
        4.596805359234683,
        4.59682586154502,
        4.596845887057443,
        4.59686638936778,
        4.596886891678118,
        4.596907393988455,
        4.5969278962987925,
        4.59694839860913,
        4.5969684241215525,
        4.59698892643189,
        4.597009428742227,
        4.597029931052565,
        4.597050433362902,
        4.59707093567324,
        4.597090961185662,
        4.597111463496,
        4.597131965806337,
        4.597152468116675,
        4.597172970427012,
        4.597192995939435,
        4.597213498249772,
        4.59723400056011,
        4.597254502870447,
        4.5972750051807845,
        4.597295030693207,
        4.5973155330035445,
        4.597336035313882,
        4.597356537624219,
        4.597376563136642,
        4.597397065446979,
        4.597417567757317,
        4.597438070067654,
        4.597458095580078,
        4.597478597890414,
        4.597499100200752,
        4.597519602511089,
        4.597539628023513,
        4.59756013033385,
        4.5975806326441875,
        4.597601134954525,
        4.5976211604669475,
        4.597641662777285,
        4.597662165087622,
        4.597682190600045,
        4.597702692910382,
        4.59772319522072,
        4.597743697531057,
        4.59776372304348,
        4.597784225353817,
        4.597804727664155,
        4.597824753176577,
        4.597845255486915,
        4.597865757797252,
        4.597885783309675,
        4.597906285620012,
        4.59792678793035,
        4.597946813442772,
        4.59796731575311,
        4.597987818063447,
        4.59800784357587,
        4.598028345886207,
        4.5980488481965445,
        4.598068873708967,
        4.5980893760193045,
        4.598109878329642,
        4.598129903842064,
        4.598150406152402,
        4.598170431664824,
        4.598190933975162,
        4.598211436285499,
        4.598231461797922,
        4.598251964108259,
        4.598271989620682,
        4.598292491931019,
        4.598312994241357,
        4.598333019753779,
        4.598353522064117,
        4.598373547576539,
        4.598394049886877,
        4.598414552197214,
        4.598434577709638,
        4.598455080019975,
        4.598475105532398,
        4.598495607842735,
        4.5985161101530725,
        4.598536135665495,
        4.5985566379758325,
        4.598576663488255,
        4.5985971657985925,
        4.598617191311015,
        4.598637693621352,
        4.598657719133775,
        4.598678221444112,
        4.598698246956535,
        4.598718749266872,
        4.598738774779295,
        4.598759277089632,
        4.59877977939997,
        4.598799804912392,
        4.59882030722273,
        4.598840332735152,
        4.59886083504549,
        4.598880860557912,
        4.59890136286825,
        4.598921388380672,
        4.59894189069101,
        4.598961916203432,
        4.59898241851377,
        4.599002444026193,
        4.599022469538616,
        4.599042971848953,
        4.599062997361376,
        4.599083499671713,
        4.599103525184136,
        4.599124027494473,
        4.599144053006896,
        4.599164555317233,
        4.599184580829656,
        4.599205083139993,
        4.599225108652416,
        4.599245134164838,
        4.599265636475176,
        4.599285661987598,
        4.599306164297936,
        4.599326189810358,
        4.599346692120696,
        4.599366717633118,
        4.5993867431455415,
        4.599407245455879,
        4.5994272709683015,
        4.599447773278639,
        4.5994677987910615,
        4.599487824303484,
        4.5995083266138215,
        4.599528352126244,
        4.5995488544365815,
        4.599568879949004,
        4.5995889054614265,
        4.599609407771764,
        4.5996294332841865,
        4.599649458796609,
        4.5996699611069465,
        4.599689986619369,
        4.5997104889297065,
        4.599730514442129,
        4.599750539954552,
        4.599771042264889,
        4.599791067777312,
        4.599811093289735,
        4.599831595600072,
        4.599851621112495,
        4.599871646624917,
        4.599892148935255,
        4.599912174447677,
        4.5999321999601,
        4.599952702270437,
        4.59997272778286,
        4.5999927532952825,
        4.600012778807705,
        4.600033281118042,
        4.600053306630465,
        4.600073332142888,
        4.600093834453226,
        4.600113859965648,
        4.600133885478071,
        4.600153910990493,
        4.600174413300831,
        4.600194438813253,
        4.600214464325676,
        4.600234966636013,
        4.600254992148436,
        4.6002750176608584,
        4.600295043173281,
        4.600315545483618,
        4.600335570996041,
        4.6003555965084635,
        4.600375622020887,
        4.600395647533309,
        4.600416149843647,
        4.600436175356069,
        4.600456200868492,
        4.6004762263809145,
        4.600496728691252,
        4.6005167542036745,
        4.600536779716097,
        4.6005568052285195,
        4.600576830740942,
        4.6005973330512795,
        4.600617358563702,
        4.6006373840761245,
        4.600657409588548,
        4.6006774351009705,
        4.600697937411308,
        4.6007179629237305,
        4.600737988436153,
        4.6007580139485755,
        4.600778039460998,
        4.600798064973421,
        4.600818567283758,
        4.600838592796181,
        4.600858618308603,
        4.600878643821026,
        4.600898669333449,
        4.600918694845872,
        4.600939197156209,
        4.6009592226686316,
        4.600979248181054,
        4.600999273693477,
        4.601019299205899,
        4.601039324718322,
        4.601059350230744,
        4.601079375743167,
        4.601099878053504,
        4.601119903565927,
        4.60113992907835,
        4.601159954590773,
        4.601179980103195,
        4.601200005615618,
        4.60122003112804,
        4.601240056640463,
        4.601260082152885,
        4.601280107665308,
        4.60130013317773,
        4.601320635488068,
        4.60134066100049,
        4.601360686512913,
        4.601380712025336,
        4.601400737537759,
        4.601420763050181,
        4.601440788562604,
        4.601460814075026,
        4.601480839587449,
        4.601500865099871,
        4.601520890612294,
        4.6015409161247165,
        4.601560941637139,
        4.601580967149562,
        4.601600992661985,
        4.6016210181744075,
        4.60164104368683,
        4.6016610691992526,
        4.601681094711675,
        4.601701120224098,
        4.60172114573652,
        4.601741171248943,
        4.601761196761365,
        4.601781222273789,
        4.601801247786211,
        4.601821273298634,
        4.601841298811056,
        4.601861324323479,
        4.601881349835901,
        4.601901375348324,
        4.601921400860746,
        4.601941426373169,
        4.602181255724326,
        4.6022012812367485,
        4.602221306749171,
        4.602241332261594,
        4.602261357774016,
        4.602281383286439,
        4.602301408798861,
        4.602321434311284,
        4.602341459823706,
        4.60236148533613,
        4.602381034050637,
        4.60240105956306,
        4.602421085075482,
        4.602441110587905,
        4.602461136100327,
        4.60248116161275,
        4.602501187125172,
        4.602521212637595,
        4.602540761352103,
        4.602560786864526,
        4.6025808123769485,
        4.602600837889371,
        4.6026208634017935,
        4.602640888914216,
        4.602660437628724,
        4.602680463141147,
        4.60270048865357,
        4.602720514165992,
        4.602740539678415,
        4.602760565190837,
        4.602780113905345,
        4.602800139417767,
        4.60282016493019,
        4.602840190442612,
        4.602860215955036,
        4.602879764669543,
        4.602899790181966,
        4.6029198156943885,
        4.602939841206811,
        4.6029598667192335,
        4.602979415433741,
        4.602999440946164,
        4.603019466458587,
        4.60303949197101,
        4.603059517483432,
        4.60307906619794,
        4.603099091710362,
        4.603119117222785,
        4.603139142735207,
        4.603158691449715,
        4.603178716962138,
        4.603198742474561,
        4.603218767986983,
        4.603238316701491,
        4.6032583422139135,
        4.603278367726336,
        4.603298393238759,
        4.603317941953267,
        4.60333796746569,
        4.603357992978112,
        4.60337754169262,
        4.603397567205042,
        4.603417592717465,
        4.603437618229887,
        4.603457166944395,
        4.603477192456818,
        4.603497217969241,
        4.603516766683748,
        4.603536792196171,
        4.6035568177085935,
        4.603576366423101,
        4.603596391935524,
        4.603616417447946,
        4.603635966162455,
        4.603655991674877,
        4.6036760171873,
        4.603695565901807,
        4.60371559141423,
        4.603735616926652,
        4.603755165641161,
        4.603775191153583,
        4.603795216666006,
        4.6038147653805135,
        4.603834790892936,
        4.6038548164053585,
        4.603874365119866,
        4.603894390632289,
        4.603913939346797,
        4.60393396485922,
        4.603953990371642,
        4.60397353908615,
        4.603993564598572,
        4.60401311331308,
        4.604033138825503,
        4.604053164337926,
        4.6040727130524335,
        4.604092738564856,
        4.604112287279364,
        4.604132312791786,
        4.604152338304209,
        4.604171887018717,
        4.60419191253114,
        4.604211461245647,
        4.60423148675807,
        4.604251035472577,
        4.604271060985,
        4.6042910864974225,
        4.604310635211931,
        4.6043306607243535,
        4.604350209438861,
        4.604370234951284,
        4.604389783665791,
        4.604409809178214,
        4.604429357892722,
        4.604449383405145,
        4.604468932119652,
        4.604488957632075,
        4.6045085063465825,
        4.604528531859005,
        4.604548080573513,
        4.604568106085936,
        4.604587654800444,
        4.604607680312866,
        4.604627229027374,
        4.604647254539796,
        4.604666803254304,
        4.604686828766727,
        4.604706377481235,
        4.604726402993657,
        4.604745951708165,
        4.604765977220588,
        4.604785525935095,
        4.604805551447518,
        4.604825100162026,
        4.604845125674449,
        4.604864674388956,
        4.604884699901379,
        4.604904248615886,
        4.604923797330395,
        4.6049438228428174,
        4.604963371557325,
        4.604983397069748,
        4.605002945784255,
        4.605022971296678,
        4.605042520011185,
        4.605062545523609,
        4.605082094238116,
        4.605101642952624,
        4.6051216684650464,
        4.605141217179554,
        4.605161242691977,
        4.605180791406485,
        4.605200340120993,
        4.605220365633415,
        4.605239914347923,
        4.605259939860345,
        4.605279488574854,
        4.605299037289361,
        4.605319062801784,
        4.6053386115162915,
        4.605358160230799,
        4.605378185743222,
        4.60539773445773,
        4.605417283172238,
        4.60543730868466,
        4.605456857399168,
        4.60547688291159,
        4.605496431626098,
        4.6055159803406065,
        4.605536005853029,
        4.605555554567537,
        4.605575103282044,
        4.605595128794467,
        4.605614677508974,
        4.605634226223483,
        4.605654251735905,
        4.605673800450413,
        4.605693349164921,
        4.605712897879428,
        4.605732923391852,
        4.605752472106359,
        4.605772020820867,
        4.605792046333289,
        4.605811595047797,
        4.605831143762305,
        4.605851169274728,
        4.6058707179892355,
        4.605890266703743,
        4.605909815418251,
        4.605929840930673,
        4.605949389645182,
        4.605968938359689,
        4.605988487074197,
        4.6060085125866195,
        4.606028061301127,
        4.606047610015636,
        4.606067158730143,
        4.606087184242566,
        4.606106732957073,
        4.606126281671581,
        4.6061458303860885,
        4.606165855898512,
        4.6061854046130195,
        4.606204953327527,
        4.606224502042035,
        4.606244527554457,
        4.606264076268966,
        4.606283624983473,
        4.606303173697981,
        4.6063227224124885,
        4.606342747924911,
        4.6063622966394195,
        4.606381845353927,
        4.606401394068435,
        4.606420942782942,
        4.60644049149745,
        4.6064605170098725,
        4.606480065724381,
        4.606499614438889,
        4.606519163153396,
        4.606538711867904,
        4.606558737380326,
        4.606578286094835,
        4.606597834809342,
        4.60661738352385,
        4.606636932238358,
        4.606656480952866,
        4.606676029667374,
        4.606696055179796,
        4.606715603894304,
        4.606735152608811,
        4.60675470132332,
        4.6067742500378275,
        4.606793798752335,
        4.606813347466843,
        4.60683289618135,
        4.606852921693773,
        4.606872470408281,
        4.606892019122789,
        4.6069115678372965,
        4.606931116551804,
        4.606950665266313,
        4.60697021398082,
        4.606989762695328,
        4.607009311409835,
        4.607028860124343,
        4.6070484088388515,
        4.607068434351274,
        4.607087983065782,
        4.607107531780289,
        4.607127080494797,
        4.607146629209305,
        4.607166177923813,
        4.6071857266383205,
        4.607205275352828,
        4.607224824067336,
        4.607244372781844,
        4.607263921496352,
        4.607283470210859,
        4.607303018925367,
        4.6073225676398755,
        4.607342116354383,
        4.607361665068891,
        4.607381213783398,
        4.607400762497906,
        4.607420311212414,
        4.607439859926922,
        4.6074594086414296,
        4.607478957355937,
        4.607498506070445,
        4.607518054784953,
        4.607537603499461,
        4.607557152213968,
        4.607576700928476,
        4.6075962496429845,
        4.607615798357492,
        4.607635347072,
        4.607654895786507,
        4.607674444501015,
        4.607693993215523,
        4.607713541930031,
        4.607733090644539,
        4.607752639359046,
        4.607772188073555,
        4.607791736788062,
        4.60781128550257,
        4.6078308342170775,
        4.607850382931585,
        4.607869931646094,
        4.607889480360601,
        4.607908552277194,
        4.6079281009917015,
        4.60794764970621,
        4.607967198420718,
        4.607986747135225,
        4.608006295849733,
        4.60802584456424,
        4.608045393278749,
        4.6080649419932564,
        4.608084490707764,
        4.608104039422272,
        4.608123111338865,
        4.608142660053373,
        4.60816220876788,
        4.608181757482388,
        4.608201306196896,
        4.608220854911404,
        4.608240403625912,
        4.608259952340419,
        4.608279024257012,
        4.6082985729715205,
        4.608318121686028,
        4.608337670400536,
        4.608357219115043,
        4.608376767829552,
        4.608396316544059,
        4.608415388460652,
        4.60843493717516,
        4.608454485889668,
        4.608474034604176,
        4.608493583318683,
        4.608513132033191,
        4.6085322039497845,
        4.608551752664292,
        4.6085713013788,
        4.608590850093307,
        4.608610398807815,
        4.608629470724408,
        4.608649019438916,
        4.608668568153424,
        4.608688116867931,
        4.60870766558244,
        4.608726737499032,
        4.60874628621354,
        4.608765834928048,
        4.608785383642556,
        4.608804455559149,
        4.608824004273656,
        4.608843552988164,
        4.608863101702672,
        4.60888265041718,
        4.608901722333773,
        4.60892127104828,
        4.608940819762789,
        4.608960368477296,
        4.608979440393889,
        4.608998989108397,
        4.609018537822905,
        4.609037609739498,
        4.609057158454005,
        4.609076707168513,
        4.609096255883021,
        4.609115327799614,
        4.609134876514122,
        4.609154425228629,
        4.609173973943137,
        4.6091930458597306,
        4.609212594574238,
        4.609232143288746,
        4.609251215205339,
        4.609270763919847,
        4.6092903126343545,
        4.609309384550947,
        4.609328933265456,
        4.609348481979963,
        4.609367553896556,
        4.6093871026110635,
        4.609406651325572,
        4.609425723242165,
        4.609445271956672,
        4.60946482067118,
        4.6094838925877735,
        4.609503441302281,
        4.609522990016789,
        4.609736118684715,
        4.609755190601308,
        4.6097747393158155,
        4.609793811232409,
        4.609813359946917,
        4.609832908661424,
        4.609851980578018,
        4.609871529292525,
        4.609890601209118,
        4.609910149923626,
        4.609929698638134,
        4.609948770554727,
        4.6099683192692344,
        4.609987391185827,
        4.610006939900336,
        4.610026011816928,
        4.610045560531436,
        4.610064632448029,
        4.610084181162537,
        4.610103729877045,
        4.610122801793637,
        4.610142350508145,
        4.6101614224247385,
        4.610180971139246,
        4.610200043055839,
        4.610219591770347,
        4.61023866368694,
        4.6102582124014475,
        4.61027728431804,
        4.610296833032549,
        4.610315904949141,
        4.610335453663649,
        4.6103545255802425,
        4.61037407429475,
        4.610393146211343,
        4.61041269492585,
        4.610431766842444,
        4.6104513155569515,
        4.610470387473544,
        4.610489936188052,
        4.610509008104645,
        4.610528556819153,
        4.610547628735746,
        4.610567177450254,
        4.610586249366847,
        4.610605798081354,
        4.610624869997947,
        4.610644418712456,
        4.610663490629048,
        4.610682562545641,
        4.610702111260149,
        4.610721183176742,
        4.61074073189125,
        4.610759803807842,
        4.610779352522351,
        4.6107984244389435,
        4.610817973153451,
        4.610837045070044,
        4.610856116986637,
        4.610875665701145,
        4.610894737617738,
        4.610914286332246,
        4.610933358248839,
        4.610952430165431,
        4.610971978879939,
        4.610991050796533,
        4.61101059951104,
        4.611029671427633,
        4.611048743344226,
        4.611068292058734,
        4.611087363975327,
        4.611106912689834,
        4.611125984606428,
        4.6111450565230205,
        4.611164605237528,
        4.611183677154122,
        4.611202749070714,
        4.611222297785222,
        4.6112413697018155,
        4.611260441618408,
        4.611279990332916,
        4.6112990622495085,
        4.611318134166102,
        4.61133768288061,
        4.611356754797202,
        4.611375826713796,
        4.6113953754283035,
        4.611414447344896,
        4.61143351926149,
        4.611453067975997,
        4.61147213989259,
        4.611491211809183,
        4.611510760523691,
        4.611529832440284,
        4.6115489043568765,
        4.611568453071385,
        4.611587524987978,
        4.61160659690457,
        4.611625668821164,
        4.6116452175356715,
        4.611664289452264,
        4.611683361368857,
        4.611702910083365,
        4.611721981999958,
        4.611741053916551,
        4.611760125833144,
        4.611779674547652,
        4.6117987464642445,
        4.611817818380837,
        4.611836890297431,
        4.611856439011938,
        4.611875510928531,
        4.6118945828451245,
        4.611913654761717,
        4.611933203476225,
        4.611952275392818,
        4.611971347309411,
        4.611990419226004,
        4.612009491142597,
        4.612029039857105,
        4.612048111773698,
        4.61206718369029,
        4.612086255606884,
        4.6121053275234765,
        4.612124876237984,
        4.612143948154578,
        4.61216302007117,
        4.612182091987763,
        4.6122011639043565,
        4.612220712618864,
        4.612239784535457,
        4.61225885645205,
        4.612277928368643,
        4.612297000285236,
        4.612316072201829,
        4.612335620916337,
        4.6123546928329295,
        4.612373764749522,
        4.612392836666116,
        4.612411908582708,
        4.612430980499301,
        4.61245052921381,
        4.612469601130402,
        4.612488673046995,
        4.6125077449635885,
        4.612526816880181,
        4.612545888796774,
        4.612564960713367,
        4.61258403262996,
        4.612603581344468,
        4.612622653261061,
        4.612641725177654,
        4.612660797094247,
        4.61267986901084,
        4.612698940927433,
        4.6127180128440255,
        4.612737084760619,
        4.612756156677212,
        4.612775705391719,
        4.612794777308312,
        4.612813849224906,
        4.612832921141498,
        4.612851993058091,
        4.6128710649746845,
        4.612890136891277,
        4.61290920880787,
        4.612928280724463,
        4.612947352641056,
        4.612966424557649,
        4.612985496474242,
        4.613004568390835,
        4.613023640307428,
        4.613042712224021,
        4.613061784140614,
        4.6130808560572065,
        4.613100404771715,
        4.613119476688308,
        4.6131385486049,
        4.613157620521494,
        4.613176692438087,
        4.613195764354679,
        4.613214836271273,
        4.6132339081878655,
        4.613252980104458,
        4.613272052021052,
        4.613291123937644,
        4.613310195854237,
        4.613329267770831,
        4.613348339687423,
        4.613367411604016,
        4.6133864835206095,
        4.613405555437202,
        4.613424627353795,
        4.613443699270388,
        4.613462771186981,
        4.613481366305659,
        4.613500438222252,
        4.613519510138845,
        4.613538582055438,
        4.613557653972031,
        4.613576725888624,
        4.613595797805217,
        4.61361486972181,
        4.613633941638403,
        4.613653013554996,
        4.613672085471589,
        4.613691157388182,
        4.6137102293047745,
        4.613729301221368,
        4.613748373137961,
        4.613767445054553,
        4.613786040173232,
        4.613805112089825,
        4.613824184006418,
        4.613843255923011,
        4.613862327839604,
        4.613881399756197,
        4.61390047167279,
        4.6139195435893825,
        4.613938615505976,
        4.613957687422569,
        4.6139762825412465,
        4.61399535445784,
        4.614014426374433,
        4.614033498291025,
        4.614052570207619,
        4.614071642124212,
        4.614090714040804,
        4.614109785957398,
        4.614128381076076,
        4.614147452992668,
        4.614166524909262,
        4.6141855968258545,
        4.614204668742447,
        4.614223740659041,
        4.6142423357777185,
        4.614261407694312,
        4.614280479610905,
        4.614299551527497,
        4.614318623444091,
        4.614337695360684,
        4.614356290479361,
        4.614375362395955,
        4.614394434312548,
        4.61441350622914,
        4.614432578145734,
        4.614451173264412,
        4.614470245181004,
        4.614489317097598,
        4.6145083890141905,
        4.614527460930783,
        4.614546056049462,
        4.6145651279660544,
        4.614584199882648,
        4.614603271799241,
        4.614622343715833,
        4.614640938834512,
        4.614660010751105,
        4.614679082667697,
        4.614698154584291,
        4.614716749702969,
        4.614735821619561,
        4.614754893536155,
        4.6147739654527475,
        4.614792560571426,
        4.614811632488019,
        4.6148307044046115,
        4.614849776321205,
        4.614868371439883,
        4.6148874433564755,
        4.614906515273069,
        4.614925110391747,
        4.6149441823083395,
        4.614963254224933,
        4.614982326141526,
        4.615000921260204,
        4.615019993176797,
        4.61503906509339,
        4.615057660212068,
        4.615076732128661,
        4.615095804045254,
        4.615114399163932,
        4.615133471080525,
        4.615152542997118,
        4.615171138115796,
        4.615190210032389,
        4.6152092819489825,
        4.615228353865575,
        4.615246948984253,
        4.6152660209008465,
        4.615284616019524,
        4.615303687936117,
        4.6153227598527105,
        4.615341354971388,
        4.615360426887982,
        4.615379498804574,
        4.615398093923252,
        4.615417165839846,
        4.615436237756438,
        4.615454832875116,
        4.61547390479171,
        4.615492976708302,
        4.615511571826981,
        4.615530643743574,
        4.615549238862251,
        4.615568310778845,
        4.615587382695438,
        4.615605977814115,
        4.615625049730709,
        4.615643644849387,
        4.61566271676598,
        4.615681788682573,
        4.615700383801251,
        4.615719455717844,
        4.615738050836522,
        4.615757122753115,
        4.615775717871793,
        4.615794789788386,
        4.6158138617049795,
        4.615832456823657,
        4.61585152874025,
        4.615870123858929,
        4.615889195775521,
        4.6159077908942,
        4.615926862810793,
        4.61594545792947,
        4.615964529846064,
        4.6159836017626565,
        4.616002196881335,
        4.616021268797928,
        4.616039863916606,
        4.616058935833199,
        4.616077530951877,
        4.61609660286847,
        4.616115197987148,
        4.616134269903741,
        4.6161528650224195,
        4.616171936939012,
        4.61619053205769,
        4.6162096039742835,
        4.616228199092961,
        4.616247271009555,
        4.6162658661282325,
        4.616284938044825,
        4.616303533163504,
        4.6163226050800965,
        4.616341200198775,
        4.616360272115368,
        4.616378867234046,
        4.616397939150639,
        4.616416534269317,
        4.6164356061859095,
        4.616454201304588,
        4.616472796423266,
        4.6164918683398595,
        4.616510463458537,
        4.61652953537513,
        4.6165481304938085,
        4.616567202410401,
        4.61658579752908,
        4.6166048694456725,
        4.61662346456435,
        4.616642059683029,
        4.6166611315996215,
        4.6166797267183,
        4.616698798634893,
        4.616717393753571,
        4.616735988872249,
        4.616755060788842,
        4.6167736559075205,
        4.616792727824113,
        4.616811322942792,
        4.6168303948593845,
        4.616848989978062,
        4.616867585096741,
        4.616886657013334,
        4.616905252132012,
        4.61692384725069,
        4.616942919167283,
        4.616961514285961,
        4.616980586202554,
        4.6169991813212325,
        4.61701777643991,
        4.617036848356503,
        4.617055443475182,
        4.617074038593859,
        4.617093110510453,
        4.617111705629131,
        4.617130300747808,
        4.617149372664402,
        4.61716796778308,
        4.617374421280199,
        4.617393016398877,
        4.617411611517555,
        4.617430206636233,
        4.617449278552826,
        4.6174678736715045,
        4.617486468790182,
        4.617505540706776,
        4.6175241358254535,
        4.617542730944132,
        4.61756132606281,
        4.617580397979403,
        4.617598993098081,
        4.617617588216759,
        4.617636183335438,
        4.61765525525203,
        4.617673850370708,
        4.617692445489387,
        4.617711040608064,
        4.617730112524658,
        4.617748707643336,
        4.617767302762014,
        4.617785897880692,
        4.617804969797285,
        4.617823564915963,
        4.617842160034641,
        4.61786075515332,
        4.6178793502719975,
        4.61789842218859,
        4.617917017307269,
        4.6179356124259465,
        4.617954207544625,
        4.617973279461218,
        4.6179918745798965,
        4.618010469698574,
        4.618029064817253,
        4.618047659935931,
        4.618066255054608,
        4.618085326971202,
        4.61810392208988,
        4.618122517208558,
        4.618141112327236,
        4.618159707445915,
        4.618178779362507,
        4.618197374481185,
        4.618215969599864,
        4.618234564718541,
        4.61825315983722,
        4.618271754955898,
        4.6182903500745764,
        4.618309421991169,
        4.618328017109847,
        4.6183466122285255,
        4.618365207347203,
        4.618383802465882,
        4.61840239758456,
        4.618420992703238,
        4.618439587821916,
        4.618458659738509,
        4.618477254857187,
        4.618495849975865,
        4.618514445094544,
        4.618533040213221,
        4.6185516353319,
        4.618570230450578,
        4.618588825569256,
        4.618607420687934,
        4.618626492604527,
        4.6186450877232055,
        4.618663682841883,
        4.618682277960562,
        4.61870087307924,
        4.618719468197918,
        4.618738063316596,
        4.618756658435274,
        4.618775253553952,
        4.61879384867263,
        4.618812443791309,
        4.6188310389099865,
        4.618849634028665,
        4.618868229147343,
        4.6188868242660215,
        4.618905419384699,
        4.618924491301292,
        4.6189430864199705,
        4.618961681538648,
        4.618980276657327,
        4.618998871776005,
        4.619017466894683,
        4.619036062013361,
        4.61905465713204,
        4.619073252250717,
        4.619091847369395,
        4.619110442488074,
        4.6191290376067515,
        4.61914763272543,
        4.619166227844108,
        4.6191848229627865,
        4.619203418081464,
        4.619222013200143,
        4.619240608318821,
        4.619259203437498,
        4.619277798556177,
        4.619296393674855,
        4.619314988793533,
        4.619333583912211,
        4.61935217903089,
        4.619370297351653,
        4.619388892470331,
        4.619407487589009,
        4.619426082707688,
        4.619444677826365,
        4.619463272945044,
        4.619481868063722,
        4.6195004631823995,
        4.619519058301078,
        4.619537653419756,
        4.6195562485384345,
        4.619574843657112,
        4.619593438775791,
        4.619612033894469,
        4.619630629013147,
        4.619649224131825,
        4.619667342452589,
        4.619685937571266,
        4.619704532689945,
        4.619723127808623,
        4.619741722927301,
        4.619760318045979,
        4.619778913164657,
        4.619797508283336,
        4.619816103402013,
        4.619834698520692,
        4.619852816841455,
        4.619871411960133,
        4.619890007078811,
        4.61990860219749,
        4.6199271973161675,
        4.619945792434845,
        4.619964387553524,
        4.619982505874287,
        4.620001100992965,
        4.620019696111643,
        4.620038291230322,
        4.6200568863489995,
        4.620075481467678,
        4.620094076586356,
        4.6201121949071196,
        4.620130790025797,
        4.620149385144476,
        4.620167980263154,
        4.620186575381832,
        4.62020517050051,
        4.620223288821274,
        4.6202418839399515,
        4.620260479058629,
        4.620279074177308,
        4.620297669295986,
        4.620315787616749,
        4.620334382735427,
        4.620352977854106,
        4.6203715729727834,
        4.620390168091462,
        4.620408286412225,
        4.6204268815309035,
        4.620445476649581,
        4.62046407176826,
        4.620482190089023,
        4.620500785207701,
        4.620519380326379,
        4.620537975445058,
        4.6205565705637355,
        4.620574688884499,
        4.620593284003177,
        4.620611879121855,
        4.620630474240533,
        4.620648592561296,
        4.620667187679975,
        4.6206857827986525,
        4.620704377917331,
        4.620722496238094,
        4.620741091356773,
        4.62075968647545,
        4.620777804796214,
        4.620796399914892,
        4.62081499503357,
        4.620833590152248,
        4.620851708473012,
        4.62087030359169,
        4.620888898710368,
        4.620907017031131,
        4.62092561214981,
        4.620944207268487,
        4.620962802387166,
        4.620980920707929,
        4.6209995158266075,
        4.621018110945285,
        4.621036229266049,
        4.621054824384727,
        4.621073419503405,
        4.621091537824168,
        4.621110132942847,
        4.6211287280615245,
        4.621146846382288,
        4.621165441500966,
        4.621184036619644,
        4.621202154940407,
        4.621220750059085,
        4.621239345177764,
        4.621257463498527,
        4.621276058617205,
        4.621294176937968,
        4.621312772056647,
        4.6213313671753244,
        4.621349485496088,
        4.621368080614766,
        4.6213866757334445,
        4.621404794054207,
        4.621423389172886,
        4.621441507493649,
        4.621460102612327,
        4.621478697731005,
        4.621496816051769,
        4.621515411170447,
        4.62153352949121,
        4.621552124609888,
        4.621570719728567,
        4.6215888380493295,
        4.621607433168008,
        4.621625551488771,
        4.62164414660745,
        4.621662741726127,
        4.621680860046891,
        4.621699455165569,
        4.6217175734863325,
        4.62173616860501,
        4.621754286925774,
        4.621772882044452,
        4.621791000365215,
        4.621809595483893,
        4.621828190602572,
        4.621846308923335,
        4.621864904042013,
        4.621883022362776,
        4.621901617481455,
        4.6219197358022175,
        4.621938330920896,
        4.621956449241659,
        4.621975044360338,
        4.6219931626811,
        4.622011757799779,
        4.622029876120542,
        4.6220484712392205,
        4.622066589559983,
        4.622085184678662,
        4.622103302999425,
        4.622121898118103,
        4.622140016438867,
        4.622158611557545,
        4.6221767298783085,
        4.622195324996986,
        4.62221344331775,
        4.622232038436428,
        4.622250156757191,
        4.622268751875869,
        4.622286870196633,
        4.622305465315311,
        4.622323583636074,
        4.622342178754752,
        4.622360297075516,
        4.6223788921941935,
        4.622397010514957,
        4.62241512883572,
        4.622433723954399,
        4.6224518422751615,
        4.62247043739384,
        4.622488555714603,
        4.622507150833282,
        4.622525269154044,
        4.622543864272723,
        4.622561982593486,
        4.6225801009142495,
        4.622598696032927,
        4.622616814353691,
        4.622635409472369,
        4.622653527793132,
        4.622671646113895,
        4.622690241232574,
        4.622708359553337,
        4.622726954672015,
        4.622745072992778,
        4.622763191313542,
        4.62278178643222,
        4.622799904752983,
        4.622818499871661,
        4.622836618192425,
        4.6228547365131885,
        4.622873331631866,
        4.62289144995263,
        4.622909568273393,
        4.622928163392071,
        4.622946281712834,
        4.622964400033598,
        4.622982995152276,
        4.623001113473039,
        4.623019708591717,
        4.623037826912481,
        4.623055945233244,
        4.623074540351922,
        4.623092658672685,
        4.623110776993449,
        4.6231293721121265,
        4.62314749043289,
        4.623165608753654,
        4.623183727074417,
        4.623202322193095,
        4.623220440513858,
        4.623238558834622,
        4.6232571539533,
        4.623275272274063,
        4.623293390594826,
        4.623311985713505,
        4.623330104034268,
        4.623348222355031,
        4.623366817473709,
        4.623384935794473,
        4.6234030541152356,
        4.623421172435999,
        4.623439767554677,
        4.623457885875441,
        4.623476004196204,
        4.623494122516967,
        4.623512717635646,
        4.623530835956409,
        4.623548954277172,
        4.623567072597935,
        4.623585667716614,
        4.623603786037377,
        4.62362190435814,
        4.623640022678903,
        4.623658617797582,
        4.623676736118345,
        4.623694854439108,
        4.623712972759872,
        4.62373156787855,
        4.6237496861993135,
        4.623767804520076,
        4.62378592284084,
        4.623804517959518,
        4.6238226362802815,
        4.623840754601044,
        4.623858872921808,
        4.623876991242571,
        4.623895586361249,
        4.623913704682012,
        4.623931823002776,
        4.62394994132354,
        4.6239680596443025,
        4.623986177965066,
        4.624004773083744,
        4.624022891404508,
        4.62404100972527,
        4.624059128046034,
        4.624077246366797,
        4.624095841485476,
        4.624113959806238,
        4.624132078127002,
        4.624150196447766,
        4.624168314768529,
        4.624186433089292,
        4.624204551410055,
        4.624223146528734,
        4.624241264849497,
        4.62425938317026,
        4.624277501491023,
        4.624295619811787,
        4.6243137381325505,
        4.624331856453313,
        4.624350451571992,
        4.624368569892755,
        4.6243866882135185,
        4.624404806534281,
        4.624422924855045,
        4.624441043175808,
        4.6244591614965715,
        4.624477279817335,
        4.624495398138098,
        4.624513516458862,
        4.6245321115775395,
        4.624550229898303,
        4.624568348219066,
        4.62458646653983,
        4.624604584860593,
        4.624622703181356,
        4.62464082150212,
        4.624658939822883,
        4.6246770581436465,
        4.624695176464409,
        4.624713294785173,
        4.624731413105936,
        4.6247495314266995,
        4.624768126545377,
        4.624786244866141,
        4.624804363186905,
        4.6248224815076675,
        4.624840599828431,
        4.624858718149194,
        4.624876836469958,
        4.6248949547907205,
        4.624913073111484,
        4.624931191432247,
        4.625130492960644,
        4.625148611281407,
        4.625166729602171,
        4.625184847922934,
        4.625202966243697,
        4.625221084564461,
        4.625239202885224,
        4.6252573212059875,
        4.62527543952675,
        4.625293557847514,
        4.625311676168277,
        4.625329794489041,
        4.625347912809803,
        4.625366031130567,
        4.625384149451331,
        4.625401790974179,
        4.625419909294942,
        4.625438027615705,
        4.625456145936469,
        4.625474264257233,
        4.625673088987714,
        4.625691207308477,
        4.6257093256292405,
        4.625727443950004,
        4.625745562270767,
        4.625763680591531,
        4.625781798912294,
        4.625799917233057,
        4.625817558755906,
        4.625835677076669,
        4.625853795397433,
        4.625871913718195,
        4.625890032038959,
        4.625908150359722,
        4.625926268680486,
        4.625943910203334,
        4.625962028524097,
        4.625980146844861,
        4.625998265165624,
        4.626016383486387,
        4.62603450180715,
        4.626052620127914,
        4.626070261650763,
        4.6260883799715256,
        4.626106498292289,
        4.626124616613052,
        4.626142734933816,
        4.6261608532545795,
        4.626178494777427,
        4.626196613098191,
        4.626214731418954,
        4.626232849739718,
        4.626250968060481,
        4.626268609583329,
        4.626286727904093,
        4.626304846224856,
        4.626322964545619,
        4.626341082866382,
        4.626358724389231,
        4.626376842709995,
        4.6263949610307575,
        4.626413079351521,
        4.62643072087437,
        4.626448839195133,
        4.6264669575158965,
        4.626485075836659,
        4.626503194157423,
        4.626520835680271,
        4.626538954001035,
        4.626557072321798,
        4.626575190642561,
        4.62659283216541,
        4.626610950486173,
        4.6266290688069365,
        4.6266471871277,
        4.626664828650548,
        4.626682946971312,
        4.626701065292075,
        4.626718706814923,
        4.626736825135687,
        4.62675494345645,
        4.626773061777214,
        4.6267907033000615,
        4.626808821620825,
        4.626826939941589,
        4.626844581464437,
        4.6268626997852005,
        4.626880818105963,
        4.626898936426727,
        4.626916577949576,
        4.626934696270339,
        4.626952814591102,
        4.62697045611395,
        4.626988574434714,
        4.627006692755478,
        4.6270243342783255,
        4.627042452599089,
        4.627060570919852,
        4.627078212442701,
        4.6270963307634645,
        4.627114449084227,
        4.627132090607076,
        4.627150208927839,
        4.627168327248603,
        4.627185968771451,
        4.627204087092214,
        4.627222205412978,
        4.627239846935827,
        4.6272579652565895,
        4.627275606779438,
        4.627293725100201,
        4.627311843420965,
        4.627329484943814,
        4.627347603264576,
        4.62736572158534,
        4.627383363108188,
        4.627401481428952,
        4.6274191229518005,
        4.627437241272563,
        4.627455359593327,
        4.627473001116175,
        4.627491119436939,
        4.627508760959787,
        4.62752687928055,
        4.627544997601314,
        4.627562639124163,
        4.6275807574449255,
        4.627598398967774,
        4.627616517288537,
        4.627634635609301,
        4.6276522771321495,
        4.627670395452912,
        4.627688036975761,
        4.627706155296524,
        4.627723796819373,
        4.627741915140136,
        4.627759556662984,
        4.627777674983748,
        4.627795793304511,
        4.62781343482736,
        4.627831553148123,
        4.627849194670971,
        4.627867312991735,
        4.627884954514584,
        4.6279030728353465,
        4.627920714358195,
        4.627938832678958,
        4.627956474201807,
        4.627974592522571,
        4.6279922340454185,
        4.628010352366182,
        4.628027993889031,
        4.628046112209794,
        4.628063753732643,
        4.628081872053405,
        4.628099513576254,
        4.628117631897018,
        4.628135273419866,
        4.6281533917406295,
        4.628171033263478,
        4.628189151584241,
        4.62820679310709,
        4.628224911427853,
        4.628242552950701,
        4.628260671271465,
        4.628278312794313,
        4.628296431115077,
        4.6283140726379255,
        4.628332190958688,
        4.628349832481537,
        4.6283679508023,
        4.628385592325149,
        4.6284032338479975,
        4.62842135216876,
        4.628438993691609,
        4.628457112012373,
        4.628474753535221,
        4.628492871855984,
        4.628510513378833,
        4.628528631699596,
        4.628546273222445,
        4.628563914745293,
        4.628582033066056,
        4.628599674588905,
        4.628617792909668,
        4.628635434432517,
        4.6286530759553655,
        4.628671194276128,
        4.628688835798977,
        4.62870695411974,
        4.628724595642589,
        4.628742237165437,
        4.6287603554862,
        4.628777997009049,
        4.628796115329813,
        4.628813756852661,
        4.628831398375509,
        4.628849516696273,
        4.628867158219121,
        4.62888479974197,
        4.6289029180627335,
        4.628920559585581,
        4.62893820110843,
        4.628956319429193,
        4.628973960952042,
        4.628992079272805,
        4.629009720795653,
        4.629027362318502,
        4.629045480639266,
        4.629063122162114,
        4.6290807636849625,
        4.629098882005726,
        4.629116523528574,
        4.629134165051423,
        4.6291522833721865,
        4.629169924895034,
        4.629187566417883,
        4.629205684738646,
        4.629223326261495,
        4.629240967784344,
        4.6292586093071915,
        4.629276727627955,
        4.629294369150804,
        4.629312010673652,
        4.6293301289944155,
        4.629347770517264,
        4.629365412040112,
        4.629383053562961,
        4.629401171883725,
        4.629418813406573,
        4.629436454929421,
        4.629454573250185,
        4.629472214773033,
        4.629489856295882,
        4.6295074978187305,
        4.629525616139493,
        4.629543257662342,
        4.629560899185191,
        4.629578540708039,
        4.6295966590288025,
        4.62961430055165,
        4.629631942074499,
        4.629649583597348,
        4.629667701918111,
        4.6296853434409595,
        4.629702984963808,
        4.629720626486656,
        4.62973874480742,
        4.629756386330269,
        4.6297740278531165,
        4.629791669375965,
        4.629809310898814,
        4.629827429219577,
        4.629845070742426,
        4.6298627122652745,
        4.629880353788122,
        4.629897995310971,
        4.629916113631735,
        4.629933755154583,
        4.6299513966774315,
        4.62996903820028,
        4.629986679723128,
        4.630004798043892,
        4.630022439566741,
        4.6300400810895885,
        4.630057722612437,
        4.630075364135286,
        4.630093005658134,
        4.630111123978898,
        4.6301287655017465,
        4.630146407024594,
        4.630164048547443,
        4.630181690070292,
        4.63019933159314,
        4.6302174499139035,
        4.630235091436752,
        4.6302527329596,
        4.630270374482449,
        4.630288016005298,
        4.630305657528146,
        4.630323299050994,
        4.630341417371758,
        4.630359058894606,
        4.630376700417455,
        4.6303943419403035,
        4.630411983463151,
        4.630429624986,
        4.630447266508849,
        4.630464908031697,
        4.630482549554546,
        4.630500667875309,
        4.630518309398157,
        4.630535950921006,
        4.630553592443855,
        4.630571233966703,
        4.6305888754895514,
        4.6306065170124,
        4.630624158535248,
        4.630641800058097,
        4.630659441580946,
        4.630677083103794,
        4.630694724626642,
        4.630712842947406,
        4.630730484470254,
        4.630748125993103,
        4.6307657675159515,
        4.630783409038799,
        4.630801050561648,
        4.630818692084497,
        4.630836333607345,
        4.630853975130194,
        4.630871616653042,
        4.63088925817589,
        4.630906899698739,
        4.630924541221588,
        4.630942182744437,
        4.6309598242672845,
        4.630977465790133,
        4.630995107312982,
        4.63101274883583,
        4.631030390358679,
        4.6310480318815275,
        4.631065673404375,
        4.631083314927224,
        4.631100956450073,
        4.631118597972921,
        4.63113623949577,
        4.631153881018618,
        4.631171522541466,
        4.631189164064315,
        4.631206805587164,
        4.631224447110012,
        4.6312420886328605,
        4.631259730155709,
        4.631277371678557,
        4.631295013201406,
        4.631312654724255,
        4.6313302962471035,
        4.631347937769951,
        4.6313655792928,
        4.631383220815649,
        4.631400862338497,
        4.631418503861346,
        4.631436145384194,
        4.631453786907042,
        4.631471428429891,
        4.631488593154825,
        4.631506234677673,
        4.6315238762005215,
        4.63154151772337,
        4.631559159246219,
        4.631576800769067,
        4.631594442291916,
        4.6316120838147645,
        4.631629725337612,
        4.631647366860461,
        4.63166500838331,
        4.631682649906158,
        4.631700291429007,
        4.6317174561539405,
        4.631735097676788,
        4.631752739199637,
        4.631770380722486,
        4.631788022245335,
        4.631805663768183,
        4.631823305291031,
        4.63184094681388,
        4.631858588336728,
        4.631875753061662,
        4.631893394584511,
        4.6319110361073585,
        4.631928677630207,
        4.631946319153056,
        4.631963960675904,
        4.631981602198753,
        4.631998766923687,
        4.632016408446535,
        4.632034049969383,
        4.632051691492232,
        4.632069333015081,
        4.632086974537929,
        4.632104139262863,
        4.632121780785711,
        4.63213942230856,
        4.632157063831408,
        4.632174705354257,
        4.632192346877106,
        4.6322095116020385,
        4.632227153124887,
        4.632244794647736,
        4.632262436170584,
        4.632280077693433,
        4.6322977192162815,
        4.632314883941215,
        4.632332525464063,
        4.632350166986912,
        4.632367808509761,
        4.632384973234694,
        4.632402614757543,
        4.632420256280391,
        4.632437897803239,
        4.632455539326088,
        4.632472704051022,
        4.632490345573871,
        4.6325079870967185,
        4.632525628619567,
        4.632542793344501,
        4.632560434867349,
        4.632578076390198,
        4.632595717913047,
        4.63261288263798,
        4.632630524160828,
        4.632648165683677,
        4.632665807206526,
        4.63268297193146,
        4.632700613454308,
        4.632718254977156,
        4.632735896500005,
        4.632753061224938,
        4.632770702747787,
        4.632788344270636,
        4.632805985793484,
        4.632823150518417,
        4.6330157768760065,
        4.633033418398855,
        4.633050583123789,
        4.633068224646637,
        4.633085866169486,
        4.63310303089442,
        4.6331206724172675,
        4.633138313940116,
        4.63315547866505,
        4.633173120187899,
        4.633190761710747,
        4.633207926435681,
        4.6332255679585295,
        4.633243209481377,
        4.633260374206311,
        4.63327801572916,
        4.633295657252009,
        4.633312821976942,
        4.6333304634997905,
        4.633348105022639,
        4.633365269747573,
        4.633382911270421,
        4.633400075995355,
        4.633417717518204,
        4.6334353590410515,
        4.633452523765985,
        4.633470165288834,
        4.633487330013768,
        4.633504971536616,
        4.633522613059465,
        4.6335397777843985,
        4.633557419307247,
        4.633575060830095,
        4.633592225555029,
        4.633609867077878,
        4.633627031802811,
        4.6336446733256595,
        4.633661838050593,
        4.633679479573442,
        4.63369712109629,
        4.633714285821224,
        4.633731927344073,
        4.6337490920690065,
        4.633766733591854,
        4.633783898316788,
        4.633801539839637,
        4.633819181362485,
        4.633836346087419,
        4.633853987610268,
        4.633871152335201,
        4.633888793858049,
        4.633905958582983,
        4.633923600105832,
        4.633940764830766,
        4.633958406353614,
        4.6339755710785475,
        4.633993212601396,
        4.63401037732633,
        4.634028018849178,
        4.634045660372027,
        4.634062825096961,
        4.634080466619809,
        4.634097631344742,
        4.634115272867591,
        4.634132437592525,
        4.634150079115373,
        4.634167243840307,
        4.6341848853631555,
        4.634202050088089,
        4.634219691610937,
        4.634236856335871,
        4.63425449785872,
        4.634271662583654,
        4.634288827308588,
        4.6343064688314355,
        4.634323633556369,
        4.634341275079218,
        4.634358439804151,
        4.634376081327,
        4.634393246051934,
        4.6344108875747825,
        4.634428052299715,
        4.634445693822564,
        4.634462858547498,
        4.634480500070347,
        4.63449766479528,
        4.634514829520214,
        4.634532471043062,
        4.634549635767996,
        4.634567277290844,
        4.634584442015778,
        4.634602083538627,
        4.634619248263561,
        4.634636412988494,
        4.634654054511342,
        4.634671219236276,
        4.634688860759125,
        4.63621199169803,
        4.637804735132501,
        4.637825237442838,
        4.637845739753176,
        4.637866718861428,
        4.637887221171765,
        4.637907723482103,
        4.637928702590355,
        4.637949204900693,
        4.63796970721103,
        4.637990209521368,
        4.63801118862962,
        4.6380316909399575,
        4.638052193250295,
        4.638073172358546,
        4.638093674668884,
        4.638114176979221,
        4.638134679289559,
        4.638155658397811,
        4.638176160708149,
        4.638196663018486,
        4.6382171653288236,
        4.638238144437076,
        4.638258646747413,
        4.638279149057751,
        4.638299651368088,
        4.638320153678426,
        4.638341132786678,
        4.638361635097016,
        4.638382137407353,
        4.6384026397176905,
        4.638423142028028,
        4.63844412113628,
        4.638464623446618,
        4.638485125756955,
        4.638505628067293,
        4.63852613037763,
        4.638547109485882,
        4.638567611796219,
        4.638588114106557,
        4.638608616416894,
        4.6386291187272315,
        4.638649621037569,
        4.638670600145821,
        4.638691102456159,
        4.638711604766496,
        4.638732107076834,
        4.638752609387171,
        4.638773111697509,
        4.638793614007846,
        4.6388145931160985,
        4.638835095426436,
        4.638855597736773,
        4.638876100047111,
        4.638896602357448,
        4.638917104667786,
        4.638937606978123,
        4.638958109288461,
        4.638978611598798,
        4.6389995907070505,
        4.639020093017388,
        4.639040595327725,
        4.639061097638063,
        4.6390815999484,
        4.639102102258738,
        4.639122604569075,
        4.639143106879413,
        4.63916360918975,
        4.639184111500088,
        4.639204613810425,
        4.6392251161207625,
        4.6392456184311,
        4.639266120741437,
        4.639287099849689,
        4.639307602160026,
        4.639328104470364,
        4.639348606780701,
        4.639369109091039,
        4.639389611401376,
        4.639410113711714,
        4.639430616022051,
        4.6394511183323885,
        4.639471620642726,
        4.6394921229530635,
        4.639512625263401,
        4.639533127573738,
        4.639553629884076,
        4.639574132194413,
        4.639594634504751,
        4.639615136815088,
        4.639635639125426,
        4.639656141435763,
        4.639676643746101,
        4.639697146056438,
        4.6397176483667755,
        4.639738150677113,
        4.63975865298745,
        4.639779155297788,
        4.639799657608125,
        4.639819683120548,
        4.639840185430885,
        4.639860687741223,
        4.63988119005156,
        4.639901692361898,
        4.639922194672235,
        4.639942696982573,
        4.63996319929291,
        4.6399837016032475,
        4.640004203913585,
        4.640024706223922,
        4.64004520853426,
        4.640065710844597,
        4.640086213154935,
        4.640106238667357,
        4.640126740977695,
        4.640147243288032,
        4.64016774559837,
        4.640188247908707,
        4.6402087502190446,
        4.640229252529382,
        4.6402497548397195,
        4.640270257150057,
        4.6402902826624794,
        4.640310784972817,
        4.640331287283154,
        4.640351789593492,
        4.640372291903829,
        4.640392794214167,
        4.640413296524504,
        4.640433322036927,
        4.640453824347264,
        4.640474326657602,
        4.640494828967939,
        4.6405153312782765,
        4.640535833588614,
        4.6405558591010365,
        4.640576361411374,
        4.640596863721711,
        4.640617366032049,
        4.640637868342386,
        4.640657893854809,
        4.640678396165146,
        4.640698898475484,
        4.640719400785821,
        4.640739903096159,
        4.640759928608581,
        4.640780430918919,
        4.6409434958057885,
        4.640963998116126,
        4.640984500426463,
        4.641005002736801,
        4.641025028249223,
        4.641045530559561,
        4.641066032869898,
        4.641086535180236,
        4.641106560692658,
        4.641127063002996,
        4.641147565313333,
        4.641167590825756,
        4.641188093136093,
        4.641208595446431,
        4.641229097756768,
        4.641249123269191,
        4.641269625579528,
        4.6412901278898655,
        4.641310153402288,
        4.6413306557126255,
        4.641351158022963,
        4.6413711835353855,
        4.641391685845723,
        4.64141218815606,
        4.641432213668483,
        4.64145271597882,
        4.641473218289158,
        4.641493243801581,
        4.641513746111918,
        4.641534248422255,
        4.641554273934679,
        4.641574776245016,
        4.641595278555354,
        4.641615304067776,
        4.641635806378114,
        4.641656308688451,
        4.6416763342008736,
        4.641696836511211,
        4.6417168620236335,
        4.641737364333971,
        4.6417578666443085,
        4.641777892156731,
        4.641798394467068,
        4.641818419979491,
        4.641838922289828,
        4.641859424600166,
        4.641879450112588,
        4.641899952422926,
        4.641919977935348,
        4.641940480245686,
        4.641960982556023,
        4.641981008068446,
        4.642001510378783,
        4.642021535891206,
        4.642042038201543,
        4.642062063713966,
        4.642082566024303,
        4.642103068334641,
        4.642123093847063,
        4.642143596157401,
        4.642163621669823,
        4.642184123980161,
        4.642204149492584,
        4.6422246518029215,
        4.642244677315344,
        4.6422651796256815,
        4.642285205138104,
        4.6423057074484415,
        4.642325732960864,
        4.6423462352712015,
        4.642366260783624,
        4.6423867630939615,
        4.642406788606384,
        4.6424272909167215,
        4.642447316429144,
        4.6424678187394814,
        4.642487844251904,
        4.642508346562241,
        4.642528372074664,
        4.642548874385001,
        4.642568899897424,
        4.642589402207761,
        4.642609427720184,
        4.642629930030521,
        4.642649955542944,
        4.642670457853281,
        4.642690483365705,
        4.642710508878127,
        4.642731011188465,
        4.642751036700887,
        4.642771539011225,
        4.642791564523647,
        4.642812066833985,
        4.642832092346407,
        4.64285211785883,
        4.642872620169167,
        4.64289264568159,
        4.642913147991927,
        4.64293317350435,
        4.642953675814687,
        4.64297370132711,
        4.642993726839532,
        4.64301422914987,
        4.643034254662292,
        4.643054280174716,
        4.643074782485052,
        4.643094807997476,
        4.643115310307813,
        4.643135335820236,
        4.643155361332658,
        4.643175863642996,
        4.643195889155418,
        4.643215914667841,
        4.643236416978178,
        4.643256442490601,
        4.643276468003023,
        4.643296970313361,
        4.643316995825783,
        4.643337021338206,
        4.643357523648543,
        4.643377549160966,
        4.643397574673388,
        4.643418076983726,
        4.643438102496149,
        4.643458128008572,
        4.643478630318909,
        4.643498655831332,
        4.643518681343754,
        4.643539183654092,
        4.643559209166514,
        4.643579234678937,
        4.643599736989274,
        4.643619762501697,
        4.643639788014119,
        4.643659813526542,
        4.643680315836879,
        4.643700341349302,
        4.643720366861725,
        4.643740392374148,
        4.643760894684485,
        4.643780920196908,
        4.64380094570933,
        4.643820971221753,
        4.64384147353209,
        4.643861499044513,
        4.643881524556935,
        4.643901550069358,
        4.643922052379695,
        4.643942077892118,
        4.64396210340454,
        4.643982128916963,
        4.6440026312273,
        4.644022656739724,
        4.644042682252146,
        4.644062707764569,
        4.644082733276991,
        4.644103235587329,
        4.644123261099751,
        4.644143286612174,
        4.644163312124596,
        4.644183337637019,
        4.644203839947356,
        4.644223865459779,
        4.644243890972201,
        4.644263916484624,
        4.644283941997047,
        4.64430396750947,
        4.644324469819807,
        4.64434449533223,
        4.644364520844652,
        4.644384546357075,
        4.644404571869497,
        4.64442459738192,
        4.644445099692257,
        4.64446512520468,
        4.644485150717102,
        4.644505176229525,
        4.644525201741948,
        4.644545227254371,
        4.644565252766793,
        4.644585278279216,
        4.644605780589553,
        4.644625806101976,
        4.644645831614398,
        4.644665857126821,
        4.644685882639243,
        4.644705908151666,
        4.6447259336640885,
        4.644745959176512,
        4.644765984688934,
        4.644786010201357,
        4.6448060357137795,
        4.644826538024117,
        4.6448465635365395,
        4.644866589048962,
        4.6448866145613845,
        4.644906640073807,
        4.64492666558623,
        4.644946691098652,
        4.6449667166110755,
        4.644986742123498,
        4.645006767635921,
        4.645026793148343,
        4.645046818660766,
        4.645066844173188,
        4.645086869685611,
        4.645106895198033,
        4.645126920710456,
        4.645146946222878,
        4.645166971735302,
        4.645186997247724,
        4.645307150322259,
        4.645327175834682,
        4.645347201347104,
        4.645367226859527,
        4.64538725237195,
        4.645407277884373,
        4.645427303396795,
        4.645447328909218,
        4.6454673544216405,
        4.645487379934063,
        4.6455074054464855,
        4.645527430958908,
        4.645547456471331,
        4.645567481983753,
        4.6455875074961765,
        4.645607533008599,
        4.645627558521022,
        4.645647584033444,
        4.645667609545867,
        4.645687158260374,
        4.645707183772797,
        4.645727209285219,
        4.645747234797643,
        4.645767260310065,
        4.645787285822488,
        4.64580731133491,
        4.645827336847333,
        4.645847362359755,
        4.645867387872178,
        4.6458874133846,
        4.645906962099108,
        4.6459269876115314,
        4.645947013123954,
        4.6459670386363765,
        4.645987064148799,
        4.646007089661222,
        4.646027115173644,
        4.646046663888152,
        4.646066689400574,
        4.646086714912997,
        4.64610674042542,
        4.646126765937843,
        4.646146791450265,
        4.646166816962688,
        4.646186365677195,
        4.646206391189618,
        4.64622641670204,
        4.646246442214463,
        4.6462664677268855,
        4.646286493239309,
        4.6463060419538165,
        4.646326067466239,
        4.6463460929786615,
        4.646366118491084,
        4.646386144003507,
        4.646405692718014,
        4.646425718230437,
        4.64644574374286,
        4.646465769255283,
        4.646485794767705,
        4.646505343482213,
        4.646525368994635,
        4.646545394507058,
        4.64656542001948,
        4.646584968733989,
        4.646604994246411,
        4.646625019758834,
        4.646645045271256,
        4.646664593985764,
        4.646684619498187,
        4.646704645010609,
        4.646724670523032,
        4.64674421923754,
        4.646764244749963,
        4.646784270262385,
        4.646804295774808,
        4.646823844489315,
        4.646843870001738,
        4.64686389551416,
        4.646883921026583,
        4.646903469741091,
        4.646923495253514,
        4.646943520765936,
        4.646963069480444,
        4.6469830949928665,
        4.647003120505289,
        4.647022669219797,
        4.647042694732219,
        4.647062720244643,
        4.647082745757065,
        4.647102294471573,
        4.647122319983995,
        4.647142345496418,
        4.647161894210925,
        4.647181919723348,
        4.647201945235771,
        4.647221493950279,
        4.6472415194627015,
        4.647261544975124,
        4.647281093689632,
        4.647301119202054,
        4.647320667916562,
        4.647340693428985,
        4.647360718941408,
        4.647380267655915,
        4.647400293168338,
        4.64742031868076,
        4.647439867395268,
        4.6474598929076905,
        4.647479441622199,
        4.6474994671346215,
        4.647519492647044,
        4.647539041361552,
        4.647559066873974,
        4.647578615588482,
        4.647598641100904,
        4.647618666613328,
        4.647638215327835,
        4.647658240840258,
        4.647677789554765,
        4.647697815067188,
        4.6477178405796105,
        4.647737389294118,
        4.6477574148065415,
        4.647776963521049,
        4.647796989033472,
        4.647816537747979,
        4.647836563260402,
        4.647856111974909,
        4.647876137487333,
        4.647896162999755,
        4.647915711714263,
        4.647935737226685,
        4.647955285941193,
        4.6479753114536155,
        4.647994860168123,
        4.6480148856805465,
        4.648034434395054,
        4.648054459907477,
        4.648074008621984,
        4.648094034134407,
        4.648113582848914,
        4.648133608361338,
        4.648153157075845,
        4.648173182588268,
        4.6481927313027755,
        4.648212756815198,
        4.648232305529706,
        4.648252331042128,
        4.648271879756637,
        4.648291905269059,
        4.648311453983567,
        4.648331479495989,
        4.648351028210497,
        4.648370576925005,
        4.648390602437428,
        4.648410151151936,
        4.648430176664358,
        4.648449725378866,
        4.648469750891288,
        4.648489299605796,
        4.648509325118219,
        4.648528873832727,
        4.648548422547234,
        4.648568448059657,
        4.648587996774165,
        4.648608022286587,
        4.648627571001096,
        4.648647119715603,
        4.648667145228026,
        4.648686693942533,
        4.648706719454956,
        4.648726268169463,
        4.648745816883972,
        4.6487658423963945,
        4.648785391110902,
        4.648805416623325,
        4.648824965337832,
        4.648844514052341,
        4.648864539564763,
        4.648884088279271,
        4.6489827854476395,
        4.649002334162147,
        4.64902235967457,
        4.649041908389077,
        4.649061457103585,
        4.649081482616008,
        4.649101031330516,
        4.6491205800450235,
        4.649140605557446,
        4.649160154271954,
        4.649179702986462,
        4.649199728498885,
        4.649219277213392,
        4.6492388259279,
        4.649258374642407,
        4.64927840015483,
        4.6492979488693384,
        4.649317497583846,
        4.649337523096269,
        4.649357071810776,
        4.649376620525284,
        4.649396646037706,
        4.649416194752215,
        4.649435743466722,
        4.64945529218123,
        4.6494753176936525,
        4.64949486640816,
        4.649514415122669,
        4.649533963837176,
        4.649553989349599,
        4.649573538064106,
        4.649593086778614,
        4.649612635493122,
        4.649632661005545,
        4.6496522097200526,
        4.64967175843456,
        4.649691307149068,
        4.64971133266149,
        4.649730881375999,
        4.649750430090506,
        4.649769978805014,
        4.649789527519522,
        4.649809553031944,
        4.649829101746453,
        4.64984865046096,
        4.649868199175468,
        4.649887747889975,
        4.649907773402398,
        4.649927322116906,
        4.649946870831414,
        4.649966419545922,
        4.649985968260429,
        4.650005516974937,
        4.65002554248736,
        4.650045091201868,
        4.650064639916375,
        4.650084188630883,
        4.650103737345391,
        4.650123286059899,
        4.650143311572322,
        4.650162860286829,
        4.650182409001337,
        4.650201957715844,
        4.650221506430353,
        4.6502410551448605,
        4.650260603859368,
        4.650280629371791,
        4.650300178086298,
        4.650319726800807,
        4.650339275515314,
        4.650358824229822,
        4.6503783729443295,
        4.650397921658837,
        4.650417470373346,
        4.650437019087853,
        4.650457044600276,
        4.650476593314783,
        4.650496142029291,
        4.6505156907437994,
        4.650535239458307,
        4.650554788172815,
        4.650574336887322,
        4.65059388560183,
        4.650613434316338,
        4.650632983030846,
        4.6506525317453535,
        4.650672080459861,
        4.65069162917437,
        4.650711177888877,
        4.6507312034013,
        4.650750752115807,
        4.650770300830315,
        4.650789849544823,
        4.650809398259331,
        4.650828946973839,
        4.650848495688346,
        4.650868044402854,
        4.650887593117362,
        4.65090714183187,
        4.6509266905463775,
        4.650946239260885,
        4.650965787975393,
        4.650985336689901,
        4.651004885404409,
        4.651024434118916,
        4.651043982833424,
        4.6510635315479325,
        4.65108308026244,
        4.651102628976948,
        4.651122177691455,
        4.651141726405963,
        4.651161275120471,
        4.651180823834979,
        4.651200372549487,
        4.651219921263994,
        4.651239469978502,
        4.65125901869301,
        4.651278567407518,
        4.6512976393241106,
        4.651317188038618,
        4.651336736753127,
        4.651356285467634,
        4.651375834182142,
        4.6513953828966494,
        4.651414931611158,
        4.6514344803256655,
        4.651454029040173,
        4.651473577754681,
        4.651493126469188,
        4.651512675183697,
        4.651532223898204,
        4.651551772612712,
        4.651570844529305,
        4.651590393243813,
        4.651609941958321,
        4.651629490672828,
        4.651649039387336,
        4.651668588101844,
        4.651688136816352,
        4.65170768553086,
        4.651727234245367,
        4.65174630616196,
        4.651765854876468,
        4.651785403590976,
        4.651804952305484,
        4.651824501019991,
        4.6518440497345,
        4.651863598449007,
        4.6518826703656,
        4.651902219080108,
        4.651921767794616,
        4.651941316509124,
        4.651960865223631,
        4.651980413938139,
        4.6519994858547316,
        4.65201903456924,
        4.652038583283748,
        4.652058131998255,
        4.652077680712763,
        4.652097229427271,
        4.652116301343864,
        4.652135850058372,
        4.652155398772879,
        4.652174947487388,
        4.652194496201895,
        4.652213568118488,
        4.652233116832996,
        4.652252665547504,
        4.652272214262012,
        4.652291286178604,
        4.652310834893112,
        4.65233038360762,
        4.652349932322128,
        4.652369481036636,
        4.652388552953228,
        4.652408101667737,
        4.652427650382244,
        4.652447199096752,
        4.652466271013345,
        4.652485819727852,
        4.652505368442361,
        4.652524917156868,
        4.652543989073461,
        4.652563537787969,
        4.652583086502477,
        4.65260215841907,
        4.652621707133577,
        4.652641255848085,
        4.6526608045625935,
        4.652679876479186,
        4.652699425193694,
        4.652718973908201,
        4.652738045824795,
        4.6527575945393025,
        4.65277714325381,
        4.652796691968318,
        4.652815763884911,
        4.652835312599419,
        4.6528548613139264,
        4.65287393323052,
        4.652893481945028,
        4.652913030659535,
        4.652932102576128,
        4.6529516512906355,
        4.652971200005144,
        4.652990271921737,
        4.653009820636244,
        4.653029369350752,
        4.653048441267345,
        4.653067989981853,
        4.653087538696361,
        4.653106610612954,
        4.653126159327462,
        4.653145231244054,
        4.653164779958562,
        4.6531843286730705,
        4.653203400589663,
        4.653222949304171,
        4.653242498018678,
        4.653261569935272,
        4.65328111864978,
        4.653300190566372,
        4.65331973928088,
        4.653339287995388,
        4.653358359911981,
        4.653377908626489,
        4.653396980543082,
        4.65341652925759,
        4.653436077972097,
        4.65345514988869,
        4.653474698603198,
        4.653493770519791,
        4.653513319234299,
        4.6535323911508915,
        4.6535519398654,
        4.6535714885799075,
        4.6535905604965,
        4.653610109211008,
        4.653629181127601,
        4.653648729842109,
        4.653667801758702,
        4.653687350473209,
        4.653706422389803,
        4.65372597110431,
        4.653745043020903,
        4.653764591735412,
        4.653783663652004,
        4.653803212366512,
        4.6538222842831045,
        4.653841832997613,
        4.653860904914206,
        4.653880453628713,
        4.653900002343221,
        4.653919074259814,
        4.653938622974322,
        4.653957694890915,
        4.653976766807508,
        4.653996315522016,
        4.6540153874386085,
        4.654034936153116,
        4.65405400806971,
        4.654073556784217,
        4.65409262870081,
        4.654112177415318,
        4.654131249331911,
        4.654150798046419,
        4.654169869963011,
        4.65418941867752,
        4.654208490594113,
        4.65422803930862,
        4.654247111225213,
        4.654266183141806,
        4.654285731856314,
        4.654304803772907,
        4.654324352487415,
        4.654343424404008,
        4.654362973118515,
        4.654382045035108,
        4.654401116951702,
        4.654420665666209,
        4.654439737582802,
        4.65445928629731,
        4.654478358213903,
        4.654497430130496,
        4.654516978845003,
        4.654536050761597,
        4.6545555994761045,
        4.654574671392697,
        4.654593743309291,
        4.654613292023798,
        4.654632363940391,
        4.654651912654899,
        4.654670984571492,
        4.654690056488085,
        4.6547096052025925,
        4.654728677119186,
        4.654747749035779,
        4.654767297750286,
        4.65478636966688,
        4.6548054415834725,
        4.65482499029798,
        4.654844062214573,
        4.654863134131166,
        4.654882682845674,
        4.654901754762267,
        4.65492082667886,
        4.654940375393368,
        4.6549594473099605,
        4.654978519226553,
        4.654998067941062,
        4.655017139857654,
        4.655036211774247,
        4.6550557604887555,
        4.655074832405348,
        4.655093904321941,
        4.655112976238534,
        4.655132524953042,
        4.655151596869635,
        4.655170668786227,
        4.655190217500736,
        4.6552092894173285,
        4.655228361333921,
        4.655247433250515,
        4.655266981965022,
        4.655286053881615,
        4.6553051257982085,
        4.655324674512716,
        4.655343746429309,
        4.6553628183459015,
        4.655381890262495,
        4.655401438977003,
        4.655420510893595,
        4.655439582810189,
        4.6554586547267816,
        4.655477726643374,
        4.655497275357883,
        4.655516347274475,
        4.655535419191068,
        4.655554491107662,
        4.655574039822169,
        4.655593111738762,
        4.655612183655355,
        4.655631255571948,
        4.655650327488541,
        4.655669876203048,
        4.655688948119642,
        4.655708020036235,
        4.655727091952827,
        4.655746163869421,
        4.6557657125839285,
        4.655784784500521,
        4.655803856417115,
        4.655822928333707,
        4.6558420002503,
        4.655861072166894,
        4.655880620881401,
        4.655899692797994,
        4.6559187647145865,
        4.65593783663118,
        4.655956908547773,
        4.6559759804643654,
        4.655995052380959,
        4.656014601095467,
        4.656033673012059,
        4.656052744928653,
        4.6560718168452455,
        4.656090888761838,
        4.656109960678432,
        4.656129032595024,
        4.656148104511617,
        4.656167653226125,
        4.656186725142718,
        4.656205797059311,
        4.656224868975904,
        4.656243940892497,
        4.65626301280909,
        4.6562820847256825,
        4.656301156642276,
        4.656320228558869,
        4.656339300475461,
        4.65635884918997,
        4.656377921106563,
        4.656396993023155,
        4.656416064939749,
        4.6564351368563415,
        4.656454208772934,
        4.656473280689528,
        4.65649235260612,
        4.656511424522713,
        4.656530496439307,
        4.656549568355899,
        4.656568640272492,
        4.6565877121890855,
        4.656606784105678,
        4.656625856022271,
        4.656644927938864,
        4.656663999855457,
        4.65668307177205,
        4.656702143688643,
        4.656721215605236,
        4.656740287521829,
        4.656759836236337,
        4.65677890815293,
        4.6567979800695225,
        4.656817051986116,
        4.656836123902709,
        4.656855195819301,
        4.656874267735895,
        4.656893339652488,
        4.656911934771165,
        4.656931006687759,
        4.656950078604352,
        4.656969150520944,
        4.656988222437538,
        4.6570072943541305,
        4.657026366270723,
        4.657045438187317,
        4.657064510103909,
        4.657083582020502,
        4.657102653937096,
        4.657121725853688,
        4.657140797770281,
        4.657159869686875,
        4.657178941603467,
        4.65719801352006,
        4.6572170854366535,
        4.657236157353246,
        4.657255229269839,
        4.657274301186432,
        4.657293373103025,
        4.657311968221703,
        4.657331040138296,
        4.657350112054889,
        4.657369183971482,
        4.657388255888075,
        4.657407327804668,
        4.657426399721261,
        4.657445471637854,
        4.657464543554447,
        4.6574836154710395,
        4.657502210589718,
        4.657521282506311,
        4.657540354422904,
        4.657559426339497,
        4.65757849825609,
        4.657597570172683,
        4.657616642089276,
        4.657635714005869,
        4.657654309124547,
        4.65767338104114,
        4.657692452957733,
        4.657711524874326,
        4.657730596790919,
        4.6577496687075115,
        4.657768740624105,
        4.657787335742783,
        4.6578064076593755,
        4.657825479575969,
        4.657844551492562,
        4.657863623409154,
        4.657882218527833,
        4.657901290444426,
        4.657920362361019,
        4.657939434277612,
        4.657958506194205,
        4.657977578110798,
        4.657996173229476,
        4.658015245146069,
        4.658034317062662,
        4.658053388979255,
        4.6580724608958475,
        4.658091056014526,
        4.658110127931119,
        4.6581291998477115,
        4.658148271764305,
        4.658166866882983,
        4.658185938799576,
        4.658205010716169,
        4.658224082632762,
        4.65824267775144,
        4.658261749668033,
        4.658280821584626,
        4.658299893501219,
        4.658318488619897,
        4.65833756053649,
        4.658356632453083,
        4.658375704369676,
        4.6583942994883545,
        4.658413371404947,
        4.65843244332154,
        4.658451515238133,
        4.658470110356811,
        4.658489182273404,
        4.658508254189997,
        4.658526849308675,
        4.658545921225268,
        4.658564993141861,
        4.658584065058454,
        4.658602660177133,
        4.658621732093725,
        4.658640804010318,
        4.658659399128997,
        4.658678471045589,
        4.658697542962182,
        4.658716138080861,
        4.658735209997453,
        4.658754281914047,
        4.658772877032725,
        4.658791948949317,
        4.658811020865911,
        4.658829615984589,
        4.658848687901181,
        4.658867759817775,
        4.6588863549364525,
        4.658905426853046,
        4.658924498769639,
        4.6589430938883165,
        4.65896216580491,
        4.658981237721503,
        4.6589998328401805,
        4.659018904756774,
        4.659037499875452,
        4.659056571792045,
        4.659075643708638,
        4.659094238827316,
        4.659113310743909,
        4.659132382660502,
        4.65915097777918,
        4.659170049695773,
        4.659188644814451,
        4.659207716731045,
        4.659226788647637,
        4.659245383766315,
        4.659264455682909,
        4.659283050801586,
        4.659302122718179,
        4.659320717836858,
        4.65933978975345,
        4.659358861670044,
        4.659377456788722,
        4.659396528705314,
        4.659415123823993,
        4.659434195740586,
        4.659452790859264,
        4.659471862775857,
        4.65949093469245,
        4.659509529811128,
        4.659528601727721,
        4.659547196846399,
        4.659566268762992,
        4.65958486388167,
        4.6596039357982635,
        4.659622530916941,
        4.659641602833534,
        4.6596601979522125,
        4.659679269868805,
        4.659697864987484,
        4.6597169369040765,
        4.659735532022754,
        4.659754603939348,
        4.659773199058026,
        4.659792270974618,
        4.659810866093297,
        4.6598299380098895,
        4.659848533128568,
        4.659867605045161,
        4.6598862001638395,
        4.659905272080432,
        4.65992386719911,
        4.6599429391157035,
        4.659961534234381,
        4.659980606150974,
        4.6599992012696525,
        4.660018273186245,
        4.660036868304924,
        4.6600554634236016,
        4.660074535340194,
        4.660093130458873,
        4.6601122023754655,
        4.660130797494144,
        4.660149869410737,
        4.660168464529415,
        4.660187536446008,
        4.660206131564686,
        4.6602247266833645,
        4.660243798599957,
        4.660262393718635,
        4.6602814656352285,
        4.660300060753906,
        4.660318655872585,
        4.6603377277891775,
        4.660356322907855,
        4.660375394824449,
        4.660393989943127,
        4.660412585061805,
        4.660431656978398,
        4.660450252097076,
        4.660469324013669,
        4.660487919132347,
        4.660506514251026,
        4.660656705594195,
        4.660675777510788,
        4.660694372629466,
        4.660712967748144,
        4.660732039664738,
        4.660750634783415,
        4.660769229902093,
        4.660788301818687,
        4.660806896937364,
        4.660825492056043,
        4.660844563972636,
        4.660863159091313,
        4.660881754209992,
        4.660900826126585,
        4.660919421245263,
        4.660938016363941,
        4.66095661148262,
        4.660975683399212,
        4.66099427851789,
        4.661012873636569,
        4.6610319455531615,
        4.66105054067184,
        4.661069135790518,
        4.661087730909196,
        4.661106802825789,
        4.661125397944467,
        4.6611439930631455,
        4.661163064979738,
        4.661181660098416,
        4.661200255217095,
        4.661218850335772,
        4.661237922252366,
        4.661256517371044,
        4.661275112489722,
        4.6612937076084,
        4.661312779524993,
        4.661331374643671,
        4.661349969762349,
        4.661368564881028,
        4.661387159999705,
        4.661406231916299,
        4.661424827034977,
        4.6614434221536545,
        4.661462017272333,
        4.661481089188926,
        4.661499684307604,
        4.661518279426282,
        4.661536874544961,
        4.6615554696636385,
        4.661574541580231,
        4.66159313669891,
        4.661611731817588,
        4.661630326936266,
        4.661648922054944,
        4.661667517173623,
        4.661686589090215,
        4.661705184208893,
        4.661723779327572,
        4.661742374446249,
        4.661760969564928,
        4.661779564683606,
        4.661798636600199,
        4.661817231718877,
        4.661835826837555,
        4.6618544219562335,
        4.661873017074911,
        4.66189161219359,
        4.6619106841101825,
        4.661929279228861,
        4.661947874347539,
        4.661966469466217,
        4.661985064584895,
        4.662003659703573,
        4.662022254822252,
        4.662040849940929,
        4.662059921857523,
        4.662078516976201,
        4.662097112094878,
        4.662115707213557,
        4.662134302332235,
        4.662152897450913,
        4.662171492569591,
        4.66219008768827,
        4.662208682806948,
        4.662227277925626,
        4.662245873044304,
        4.662264944960897,
        4.662283540079575,
        4.662302135198253,
        4.662320730316932,
        4.662339325435609,
        4.662357920554288,
        4.662376515672966,
        4.662395110791644,
        4.662413705910322,
        4.662432301029,
        4.6624508961476785,
        4.662469491266356,
        4.662488086385035,
        4.662506681503713,
        4.662525276622391,
        4.662543871741069,
        4.662562466859748,
        4.662581061978425,
        4.662599657097103,
        4.662618252215782,
        4.6626368473344595,
        4.662655442453138,
        4.662674037571816,
        4.6626926326904945,
        4.662711227809172,
        4.662729822927851,
        4.662748418046529,
        4.662767013165207,
        4.662785608283885,
        4.662804203402563,
        4.662822798521241,
        4.662841393639919,
        4.662859988758598,
        4.6628785838772755,
        4.662897178995954,
        4.662915774114632,
        4.6629343692333105,
        4.662952964351988,
        4.662971559470666,
        4.662990154589345,
        4.663008749708022,
        4.663027344826701,
        4.663045939945379,
        4.663064535064057,
        4.663083130182735,
        4.663101725301414,
        4.6631203204200915,
        4.66313891553877,
        4.663157510657448,
        4.663176105776126,
        4.663194224096889,
        4.663212819215567,
        4.663231414334246,
        4.6632500094529235,
        4.663268604571602,
        4.66328719969028,
        4.6633057948089585,
        4.663324389927636,
        4.663342985046315,
        4.663361580164993,
        4.66338017528367,
        4.663398293604434,
        4.663416888723113,
        4.66343548384179,
        4.663454078960468,
        4.663472674079147,
        4.6634912691978245,
        4.663509864316503,
        4.663528459435181,
        4.663546577755945,
        4.663565172874622,
        4.663583767993301,
        4.663602363111979,
        4.663620958230657,
        4.663639553349335,
        4.663658148468013,
        4.663676266788777,
        4.663694861907454,
        4.663713457026133,
        4.663732052144811,
        4.663750647263489,
        4.663769242382167,
        4.663787360702931,
        4.6638059558216085,
        4.663824550940287,
        4.663843146058965,
        4.6638617411776435,
        4.663879859498406,
        4.663898454617085,
        4.663917049735763,
        4.663935644854441,
        4.663954239973119,
        4.663972358293883,
        4.6639909534125605,
        4.664009548531238,
        4.664028143649917,
        4.664046738768595,
        4.664064857089358,
        4.664083452208036,
        4.664102047326715,
        4.6641206424453925,
        4.664138760766156,
        4.664157355884834,
        4.664175951003513,
        4.66419454612219,
        4.664212664442954,
        4.664231259561632,
        4.66424985468031,
        4.664268449798988,
        4.664286568119752,
        4.66430516323843,
        4.664323758357108,
        4.664342353475786,
        4.66436047179655,
        4.664379066915227,
        4.664397662033905,
        4.664416257152584,
        4.6644343754733475,
        4.664452970592025,
        4.664471565710703,
        4.664489684031467,
        4.664508279150144,
        4.664526874268823,
        4.664544992589586,
        4.6645635877082645,
        4.664582182826942,
        4.664600777945621,
        4.664618896266384,
        4.664637491385062,
        4.66465608650374,
        4.664674204824504,
        4.6646927999431815,
        4.66471139506186,
        4.664729513382623,
        4.664748108501302,
        4.664766703619979,
        4.664784821940743,
        4.664803417059421,
        4.664822012178099,
        4.664840130498862,
        4.664858725617541,
        4.664876843938304,
        4.664895439056982,
        4.66491403417566,
        4.664932152496424,
        4.6649507476151015,
        4.66496934273378,
        4.664987461054543,
        4.665006056173222,
        4.665024174493984,
        4.665042769612663,
        4.665061364731341,
        4.6650794830521045,
        4.665098078170782,
        4.665116196491546,
        4.665134791610224,
        4.665153386728902,
        4.665171505049665,
        4.665190100168344,
        4.665208218489107,
        4.665226813607785,
        4.665245408726463,
        4.665263527047227,
        4.665282122165904,
        4.665300240486668,
        4.665318835605346,
        4.66533695392611,
        4.665355549044787,
        4.665374144163466,
        4.665392262484229,
        4.665410857602907,
        4.66542897592367,
        4.665447571042349,
        4.665465689363112,
        4.66548428448179,
        4.665502402802553,
        4.665520997921232,
        4.665539116241995,
        4.665557711360673,
        4.665576306479351,
        4.665594424800115,
        4.665613019918792,
        4.665631138239556,
        4.665649733358234,
        4.665667851678998,
        4.665686446797675,
        4.665704565118439,
        4.665723160237117,
        4.6657412785578805,
        4.665759873676558,
        4.665777991997322,
        4.665796587116,
        4.665814705436763,
        4.665833300555441,
        4.665851418876205,
        4.665869537196968,
        4.665888132315646,
        4.665906250636409,
        4.665924845755088,
        4.6659429640758505,
        4.665961559194529,
        4.665979677515292,
        4.665998272633971,
        4.666016390954733,
        4.666034986073412,
        4.666053104394175,
        4.666071222714939,
        4.666089817833616,
        4.66610793615438,
        4.666126531273058,
        4.6661446495938215,
        4.666163244712499,
        4.666181363033263,
        4.666199481354027,
        4.666218076472704,
        4.666236194793468,
        4.666254789912146,
        4.6662729082329095,
        4.666291503351587,
        4.666309621672351,
        4.666327739993114,
        4.666346335111792,
        4.666364453432555,
        4.666383048551234,
        4.666401166871997,
        4.66641928519276,
        4.666437880311438,
        4.666455998632202,
        4.666474116952965,
        4.666492712071643,
        4.666510830392406,
        4.666529425511085,
        4.6665475438318476,
        4.666565662152611,
        4.666584257271289,
        4.666602375592053,
        4.666620493912816,
        4.666639089031494,
        4.666657207352258,
        4.666675325673021,
        4.666693920791699,
        4.666712039112462,
        4.666730157433226,
        4.666748752551904,
        4.666766870872667,
        4.66678498919343,
        4.666803584312109,
        4.6668217026328715,
        4.666839820953635,
        4.666858416072313,
        4.666876534393077,
        4.6668946527138395,
        4.666912771034603,
        4.666931366153281,
        4.666949484474045,
        4.666967602794808,
        4.666986197913486,
        4.66700431623425,
        4.667022434555013,
        4.667041029673691,
        4.667059147994454,
        4.667077266315218,
        4.667095384635981,
        4.667113979754659,
        4.667132098075422,
        4.667150216396186,
        4.667168334716949,
        4.667186929835627,
        4.66720504815639,
        4.667223166477154,
        4.6672412847979174,
        4.667259879916595,
        4.667277998237359,
        4.667296116558122,
        4.667314234878885,
        4.667332829997563,
        4.667350948318327,
        4.66736906663909,
        4.667387184959853,
        4.667405303280616,
        4.667423898399295,
        4.6674420167200585,
        4.667460135040821,
        4.667478253361585,
        4.667496848480263,
        4.6675149668010265,
        4.667533085121789,
        4.667551203442553,
        4.667569321763316,
        4.6675874400840796,
        4.667606035202757,
        4.667624153523521,
        4.667642271844284,
        4.6676603901650475,
        4.667678508485811,
        4.667697103604489,
        4.667715221925253,
        4.6677333402460155,
        4.667751458566779,
        4.667769576887542,
        4.667787695208306,
        4.6678062903269835,
        4.667824408647747,
        4.66784252696851,
        4.667860645289274,
        4.667878763610037,
        4.6678968819308,
        4.667915000251564,
        4.667933595370242,
        4.667951713691005,
        4.667969832011768,
        4.667987950332532,
        4.668006068653295,
        4.668024186974058,
        4.668042305294822,
        4.668060423615585,
        4.668078541936349,
        4.668097137055026,
        4.66811525537579,
        4.668133373696553,
        4.668151492017317,
        4.668169610338079,
        4.668187728658843,
        4.668205846979607,
        4.66822396530037,
        4.668242083621133,
        4.668260201941896,
        4.66827832026266,
        4.668296915381338,
        4.668315033702101,
        4.668333152022864,
        4.668351270343628,
        4.6683693886643916,
        4.668387506985154,
        4.668405625305918,
        4.668423743626681,
        4.668441861947445,
        4.668459980268207,
        4.668478098588971,
        4.668496216909735,
        4.668514335230498,
        4.668532453551261,
        4.668550571872024,
        4.668568690192788,
        4.668586808513551,
        4.668604926834314,
        4.668623045155077,
        4.668641163475841,
        4.668659281796605,
        4.668677400117367,
        4.668695518438131,
        4.668713636758894,
        4.668731755079658,
        4.6687498734004205,
        4.668767991721184,
        4.668786110041948,
        4.668804228362711,
        4.668822346683474,
        4.668840465004237,
        4.668858583325001,
        4.668876701645764,
        4.668894819966527,
        4.668912938287291,
        4.668931056608054,
        4.668949174928818,
        4.6689672932495805,
        4.668985411570344,
        4.669003529891107,
        4.669021648211871,
        4.669039766532634,
        4.669057884853397,
        4.669076003174161,
        4.669094121494924,
        4.6691122398156875,
        4.66913035813645,
        4.669147999659299,
        4.669166117980063,
        4.669184236300826,
        4.669202354621589,
        4.669220472942352,
        4.669238591263116,
        4.669256709583879,
        4.669274827904642,
        4.669292946225406,
        4.669311064546169,
        4.6693291828669325,
        4.669347301187695,
        4.669364942710544,
        4.669383061031308,
        4.669401179352071,
        4.669419297672834,
        4.669437415993597,
        4.669455534314361,
        4.669473652635124,
        4.669491770955887,
        4.669509412478736,
        4.669527530799499,
        4.669545649120263,
        4.6695637674410255,
        4.669581885761789,
        4.669600004082552,
        4.669618122403316,
        4.6696357639261645,
        4.669653882246927,
        4.669672000567691,
        4.669690118888454,
        4.669708237209218,
        4.66972635552998,
        4.669744473850744,
        4.669762115373593,
        4.669780233694356,
        4.669798352015119,
        4.669816470335882,
        4.669834588656646,
        4.669852230179495,
        4.6698703485002575,
        4.669888466821021,
        4.669906585141784,
        4.669924703462548,
        4.6699423449853965,
        4.669960463306159,
        4.669978581626923,
        4.669996699947686,
        4.6700148182684496,
        4.670032459791298,
        4.670050578112061,
        4.670068696432825,
        4.670086814753588,
        4.670104933074351,
        4.6701225745972,
        4.670140692917963,
        4.670158811238727,
        4.6701769295594895,
        4.670194571082338,
        4.670212689403101,
        4.670230807723865,
        4.6702489260446285,
        4.670266567567476,
        4.67028468588824,
        4.670302804209003,
        4.670320922529767,
        4.670338564052615,
        4.670356682373378,
        4.670374800694142,
        4.670392919014905,
        4.6704105605377535,
        4.670428678858517,
        4.67044679717928,
        4.670464438702129,
        4.670482557022892,
        4.670500675343655,
        4.670518793664419,
        4.670536435187267,
        4.670554553508031,
        4.670572671828793,
        4.670590313351642,
        4.670608431672406,
        4.670626549993169,
        4.6706441915160175,
        4.67066230983678,
        4.670680428157544,
        4.670698069680393,
        4.670716188001156,
        4.670734306321919,
        4.670751947844768,
        4.670770066165531,
        4.670788184486295,
        4.6708058260091425,
        4.670823944329906,
        4.670842062650669,
        4.670859704173518,
        4.6708778224942815,
        4.670895940815044,
        4.670913582337893,
        4.670931700658657,
        4.67094981897942,
        4.670967460502268,
        4.670985578823031,
        4.67100322034588,
        4.671021338666644,
        4.6710394569874065,
        4.671057098510255,
        4.671075216831018,
        4.671093335151782,
        4.671110976674631,
        4.671129094995393,
        4.671146736518242,
        4.671164854839005,
        4.671182973159769,
        4.6712006146826175,
        4.67121873300338,
        4.671236374526229,
        4.671254492846993,
        4.671272134369841,
        4.671290252690604,
        4.671308371011367,
        4.671326012534216,
        4.67134413085498,
        4.671361772377828,
        4.671379890698591,
        4.67139753222144,
        4.671415650542203,
        4.671433768862967,
        4.6714514103858145,
        4.671469528706578,
        4.671487170229427,
        4.67150528855019,
        4.6715229300730385,
        4.671541048393801,
        4.67155868991665,
        4.671576808237414,
        4.671594449760262,
        4.671612568081025,
        4.671630209603874,
        4.671648327924637,
        4.671666446245401,
        4.671684087768249,
        4.671702206089012,
        4.671719847611861,
        4.671737965932624,
        4.671755607455473,
        4.6717737257762355,
        4.671791367299084,
        4.671809485619848,
        4.671827127142696,
        4.67184524546346,
        4.671862886986308,
        4.671880528509156,
        4.67189864682992,
        4.671916288352769,
        4.6719344066735315,
        4.67195204819638,
        4.671970166517143,
        4.671987808039992,
        4.672005926360756,
        4.6720235678836035,
        4.672041686204367,
        4.672059327727216,
        4.672077446047979,
        4.672095087570828,
        4.672112729093676,
        4.672130847414439,
        4.672148488937288,
        4.672166607258051,
        4.6721842487808996,
        4.672202367101663,
        4.672220008624511,
        4.67223765014736,
        4.672255768468124,
        4.6722734099909715,
        4.672291528311735,
        4.672309169834583,
        4.672327288155347,
        4.672344929678196,
        4.6723625712010435,
        4.672380689521807,
        4.672398331044656,
        4.672416449365419,
        4.6724340908882676,
        4.672451732411116,
        4.672469850731879,
        4.672487492254728,
        4.672505133777576,
        4.6725232520983395,
        4.672540893621188,
        4.672559011941951,
        4.6725766534648,
        4.672594294987649,
        4.6726124133084115,
        4.67263005483126,
        4.672647696354109,
        4.672665814674872,
        4.672683456197721,
        4.672701097720569,
        4.672719216041332,
        4.672736857564181,
        4.672754975884944,
        4.672772617407793,
        4.672790258930641,
        4.672808377251404,
        4.672826018774253,
        4.672843660297102,
        4.67286130181995,
        4.672879420140713,
        4.672897061663562,
        4.67291470318641,
        4.672932821507174,
        4.6729504630300225,
        4.67296810455287,
        4.672986222873634,
        4.673003864396482,
        4.673021505919331,
        4.6730396242400944,
        4.673057265762942,
        4.673074907285791,
        4.67309254880864,
        4.673110667129403,
        4.6731283086522515,
        4.6731459501751,
        4.673163591697948,
        4.673181710018712,
        4.673199351541561,
        4.6732169930644085,
        4.673235111385172,
        4.673252752908021,
        4.673270394430869,
        4.673288035953718,
        4.6733061542744805,
        4.673323795797329,
        4.673341437320178,
        4.673359078843027,
        4.67337719716379,
        4.673394838686638,
        4.673412480209486,
        4.673430121732335,
        4.673447763255184,
        4.673465881575947,
        4.6734835230987954,
        4.673501164621644,
        4.673518806144492,
        4.673536924465256,
        4.673554565988105,
        4.6735722075109525,
        4.673589849033801,
        4.67360749055665,
        4.673625608877413,
        4.673855902270273,
        4.673873543793122,
        4.67389118531597,
        4.6741038371859815,
        4.67412147870883,
        4.674139120231679,
        4.674156761754527,
        4.674174403277376,
        4.6741920448002245,
        4.674209686323072,
        4.674227804643836,
        4.674245446166685,
        4.674263087689533,
        4.674280729212382,
        4.67429837073523,
        4.674316012258078,
        4.674333653780927,
        4.674351295303776,
        4.674368936826624,
        4.6743865783494725,
        4.674404219872321,
        4.674421861395169,
        4.674439979715933,
        4.674457621238782,
        4.6744752627616295,
        4.674492904284478,
        4.674510545807327,
        4.674528187330175,
        4.674545828853024,
        4.6745634703758725,
        4.67458111189872,
        4.674598753421569,
        4.674616394944418,
        4.674634036467267,
        4.674651677990115,
        4.674669319512963,
        4.674686961035812,
        4.67470460255866,
        4.674722244081509,
        4.674739885604358,
        4.6747575271272055,
        4.674775168650054,
        4.674792810172903,
        4.674810451695751,
        4.6748280932186,
        4.6748457347414485,
        4.674863376264296,
        4.674881017787145,
        4.674898659309994,
        4.674916300832842,
        4.674933942355691,
        4.674951583878539,
        4.674969225401387,
        4.674986866924236,
        4.675004508447085,
        4.675022149969934,
        4.6750397914927815,
        4.67505743301563,
        4.675075074538479,
        4.675092716061327,
        4.675110357584176,
        4.6751279991070245,
        4.675145640629872,
        4.675163282152721,
        4.67518092367557,
        4.675198565198418,
        4.675216206721267,
        4.6752333714462,
        4.675251012969049,
        4.675268654491897,
        4.675286296014746,
        4.675303937537595,
        4.6753215790604425,
        4.675339220583291,
        4.67535686210614,
        4.675374503628988,
        4.675392145151837,
        4.6754097866746855,
        4.675427428197533,
        4.675444592922467,
        4.675462234445316,
        4.675479875968165,
        4.675497517491013,
        4.6755151590138615,
        4.67553280053671,
        4.675550442059558,
        4.675568083582407,
        4.675585725105256,
        4.675602889830189,
        4.6756205313530375,
        4.675638172875886,
        4.675655814398734,
        4.675673455921583,
        4.675691097444432,
        4.6757087389672805,
        4.675726380490128,
        4.675743545215062,
        4.675761186737911,
        4.675778828260759,
        4.675796469783608,
        4.675814111306456,
        4.675831752829304,
        4.675848917554238,
        4.675866559077087,
        4.675884200599936,
        4.675901842122784,
        4.675919483645632,
        4.675937125168481,
        4.675954289893414,
        4.675971931416263,
        4.675989572939112,
        4.6760072144619595,
        4.676024855984808,
        4.676042020709742,
        4.676059662232591,
        4.676077303755439,
        4.676094945278288,
        4.676112586801136,
        4.676129751526069,
        4.676147393048918,
        4.676165034571767,
        4.676182676094616,
        4.676200317617464,
        4.676217482342397,
        4.676235123865246,
        4.676252765388094,
        4.676270406910943,
        4.676287571635877,
        4.677990932186587,
        4.679799188278557,
        4.679820167386809,
        4.679840669697146,
        4.679861648805399,
        4.679882627913651,
        4.679903607021903,
        4.679924109332241,
        4.679945088440493,
        4.679966067548746,
        4.679986569859083,
        4.680007548967335,
        4.680028528075587,
        4.680049030385924,
        4.680070009494177,
        4.680090988602429,
        4.680111490912767,
        4.680132470021019,
        4.680153449129271,
        4.680173951439609,
        4.680194930547861,
        4.680215909656114,
        4.680236411966451,
        4.6802573910747025,
        4.680278370182955,
        4.680298872493292,
        4.680319851601545,
        4.680340353911882,
        4.680361333020135,
        4.680382312128387,
        4.680402814438724,
        4.680423793546977,
        4.680444295857314,
        4.680465274965567,
        4.680486254073818,
        4.680506756384156,
        4.680527735492408,
        4.680548237802745,
        4.680569216910998,
        4.68059019601925,
        4.680610698329588,
        4.68063167743784,
        4.6806521797481775,
        4.68067315885643,
        4.680693661166767,
        4.68071464027502,
        4.680735142585356,
        4.680756121693609,
        4.680777100801861,
        4.6807976031121985,
        4.680818582220451,
        4.681108952150579,
        4.681129454460916,
        4.681150433569169,
        4.681170935879506,
        4.6811919149877586,
        4.681212417298096,
        4.681233396406348,
        4.681253898716686,
        4.681274401027023,
        4.681295380135275,
        4.681315882445612,
        4.681336861553865,
        4.681357363864202,
        4.6813783429724545,
        4.681398845282792,
        4.681419824391044,
        4.681440326701382,
        4.681460829011719,
        4.681481808119972,
        4.681502310430309,
        4.6815232895385614,
        4.681543791848899,
        4.681564294159236,
        4.681585273267488,
        4.681605775577825,
        4.681626754686078,
        4.681647256996415,
        4.681667759306753,
        4.681688738415005,
        4.6817092407253424,
        4.681730219833595,
        4.681750722143932,
        4.68177122445427,
        4.681792203562522,
        4.68181270587286,
        4.681833208183197,
        4.681854187291449,
        4.681874689601787,
        4.681895191912124,
        4.681916171020376,
        4.681936673330713,
        4.681957175641051,
        4.681978154749303,
        4.681998657059641,
        4.682019159369978,
        4.68204013847823,
        4.682060640788568,
        4.682081143098905,
        4.682102122207158,
        4.682122624517495,
        4.682143126827833,
        4.682164105936085,
        4.6821846082464225,
        4.68220511055676,
        4.682308575704276,
        4.682329078014614,
        4.682349580324951,
        4.6823700826352885,
        4.682391061743541,
        4.682411564053878,
        4.682432066364216,
        4.682452568674553,
        4.682473547782806,
        4.682494050093143,
        4.682514552403481,
        4.682535054713818,
        4.68255603382207,
        4.682576536132408,
        4.682597038442745,
        4.682617540753083,
        4.68263804306342,
        4.682659022171673,
        4.68267952448201,
        4.6827000267923475,
        4.682720529102685,
        4.682741508210937,
        4.682762010521274,
        4.682782512831611,
        4.682803015141949,
        4.682823517452286,
        4.682844019762624,
        4.682864998870876,
        4.682885501181214,
        4.682906003491551,
        4.6829265058018885,
        4.682947008112226,
        4.682967510422563,
        4.682988489530816,
        4.683008991841153,
        4.683029494151491,
        4.683049996461828,
        4.683070498772166,
        4.683091001082503,
        4.6831115033928405,
        4.683132482501093,
        4.68315298481143,
        4.683173487121768,
        4.683193989432105,
        4.683214491742443,
        4.68323499405278,
        4.683255496363118,
        4.683275998673455,
        4.683296500983793,
        4.683317480092045,
        4.683337982402382,
        4.68335848471272,
        4.683378987023057,
        4.683399489333394,
        4.683419991643731,
        4.683440493954069,
        4.683460996264406,
        4.683481498574744,
        4.683502000885081,
        4.683522503195419,
        4.683543005505756,
        4.6835635078160935,
        4.683584010126431,
        4.6836045124367685,
        4.683625491545021,
        4.683645993855358,
        4.683666496165696,
        4.683686998476033,
        4.683707500786371,
        4.683728003096708,
        4.683748505407046,
        4.683769007717383,
        4.6837895100277205,
        4.683810012338058,
        4.683830514648395,
        4.683851016958733,
        4.68387151926907,
        4.683892021579408,
        4.683912523889745,
        4.683933026200083,
        4.68395352851042,
        4.683974030820758,
        4.683994533131095,
        4.6840150354414325,
        4.68403553775177,
        4.684056040062107,
        4.684076542372445,
        4.684096567884867,
        4.684117070195205,
        4.684137572505542,
        4.68415807481588,
        4.684178577126217,
        4.684199079436555,
        4.684219581746892,
        4.68424008405723,
        4.684260586367567,
        4.6842810886779045,
        4.684301590988242,
        4.684322093298579,
        4.684342595608917,
        4.684363097919254,
        4.684383600229592,
        4.684403625742014,
        4.684424128052352,
        4.684444630362689,
        4.684465132673027,
        4.684485634983364,
        4.684506137293702,
        4.684526639604039,
        4.6845471419143765,
        4.684567644224714,
        4.6845876697371365,
        4.684608172047474,
        4.684628674357811,
        4.684649176668149,
        4.684669678978486,
        4.684690181288824,
        4.684710683599161,
        4.684730709111584,
        4.684751211421921,
        4.684771713732259,
        4.684792216042596,
        4.684812718352934,
        4.684833220663271,
        4.6848532461756935,
        4.684873748486031,
        4.6848942507963685,
        4.684914753106706,
        4.684935255417043,
        4.684955280929466,
        4.684975783239803,
        4.684996285550141,
        4.685016787860478,
        4.685037290170816,
        4.685057315683238,
        4.685077817993576,
        4.685098320303913,
        4.685118822614251,
        4.685139324924588,
        4.685159350437011,
        4.685179852747348,
        4.6852003550576855,
        4.685220857368023,
        4.6852408828804455,
        4.685261385190783,
        4.68528188750112,
        4.685302389811458,
        4.68532241532388,
        4.685342917634218,
        4.685363419944555,
        4.685383922254893,
        4.685403947767315,
        4.685424450077653,
        4.68544495238799,
        4.685465454698328,
        4.68548548021075,
        4.685505982521088,
        4.685526484831425,
        4.685546510343848,
        4.685567012654185,
        4.6855875149645225,
        4.685607540476945,
        4.6856280427872825,
        4.68564854509762,
        4.6856685706100425,
        4.68568907292038,
        4.685709575230717,
        4.685730077541055,
        4.685750103053477,
        4.685770605363815,
        4.685791107674152,
        4.685811133186575,
        4.685831635496912,
        4.685851661009335,
        4.685872163319672,
        4.68589266563001,
        4.685912691142432,
        4.68593319345277,
        4.685953695763107,
        4.685973721275531,
        4.685994223585868,
        4.6860147258962055,
        4.686034751408628,
        4.6860552537189655,
        4.686075279231388,
        4.6860957815417255,
        4.686116283852063,
        4.686136309364485,
        4.686156811674823,
        4.686176837187245,
        4.686197339497583,
        4.68621784180792,
        4.686237867320343,
        4.68625836963068,
        4.686278395143103,
        4.68629889745344,
        4.686318922965863,
        4.6863394252762,
        4.686359927586538,
        4.68637995309896,
        4.686400455409298,
        4.68642048092172,
        4.686440983232058,
        4.68646100874448,
        4.686481511054818,
        4.68650153656724,
        4.686522038877578,
        4.68654206439,
        4.686562566700338,
        4.686583069010675,
        4.6866030945230985,
        4.686623596833436,
        4.6866436223458585,
        4.686664124656196,
        4.6866841501686185,
        4.686704652478956,
        4.6867246779913785,
        4.686745180301716,
        4.6867652058141385,
        4.686785708124476,
        4.6868057336368985,
        4.686826235947236,
        4.686846261459658,
        4.686866286972081,
        4.686886789282418,
        4.686906814794841,
        4.686927317105178,
        4.686947342617601,
        4.686967844927938,
        4.686987870440361,
        4.687008372750698,
        4.687028398263121,
        4.687048900573458,
        4.687068926085882,
        4.687088951598304,
        4.687109453908642,
        4.687129479421064,
        4.687149981731402,
        4.687170007243824,
        4.687190509554162,
        4.687210535066584,
        4.687230560579007,
        4.687251062889344,
        4.687271088401767,
        4.687291590712104,
        4.687311616224527,
        4.687331641736949,
        4.687352144047287,
        4.687372169559709,
        4.687392671870047,
        4.687412697382469,
        4.687432722894893,
        4.687453225205229,
        4.687473250717653,
        4.687493276230075,
        4.687513778540413,
        4.687533804052835,
        4.687553829565258,
        4.687574331875595,
        4.687594357388018,
        4.68761438290044,
        4.687634885210778,
        4.6876549107232,
        4.687674936235623,
        4.68769543854596,
        4.687715464058383,
        4.687735489570805,
        4.687755991881143,
        4.687776017393566,
        4.687796042905989,
        4.687816545216326,
        4.687836570728749,
        4.687856596241171,
        4.687877098551509,
        4.687897124063931,
        4.687917149576354,
        4.687937175088776,
        4.687957677399114,
        4.687977702911536,
        4.687997728423959,
        4.688018230734296,
        4.688038256246719,
        4.688058281759141,
        4.688078307271565,
        4.688098809581902,
        4.688118835094325,
        4.688138860606747,
        4.68815888611917,
        4.688179388429507,
        4.68819941394193,
        4.688219439454352,
        4.688239464966775,
        4.688259967277112,
        4.688279992789535,
        4.688300018301957,
        4.68832004381438,
        4.688340069326802,
        4.68836057163714,
        4.688380597149563,
        4.688400622661986,
        4.688420648174408,
        4.688440673686831,
        4.688461175997168,
        4.688481201509591,
        4.688501227022013,
        4.688521252534436,
        4.688541278046858,
        4.688561780357196,
        4.688581805869618,
        4.688601831382041,
        4.688621856894464,
        4.688641882406887,
        4.688661907919309,
        4.688682410229647,
        4.688702435742069,
        4.688722461254492,
        4.688742486766914,
        4.688762512279337,
        4.688782537791759,
        4.688802563304182,
        4.688823065614519,
        4.688843091126942,
        4.688863116639364,
        4.688883142151788,
        4.68890316766421,
        4.688923193176633,
        4.688943218689055,
        4.688963244201478,
        4.6889832697139004,
        4.689003772024238,
        4.68902379753666,
        4.689043823049083,
        4.6890638485615055,
        4.689083874073928,
        4.689103899586351,
        4.689123925098774,
        4.6891439506111965,
        4.689163976123619,
        4.6891840016360415,
        4.689204027148464,
        4.689224052660887,
        4.689244078173309,
        4.689264580483647,
        4.689284605996069,
        4.689304631508492,
        4.689324657020915,
        4.689344682533338,
        4.68936470804576,
        4.689384733558183,
        4.689404759070605,
        4.689424784583028,
        4.68944481009545,
        4.689464835607873,
        4.689484861120295,
        4.689504886632718,
        4.689524912145141,
        4.689544937657564,
        4.689564963169986,
        4.689584988682409,
        4.689605014194831,
        4.689625039707254,
        4.689645065219676,
        4.689665090732099,
        4.6896851162445214,
        4.689705141756944,
        4.689725167269367,
        4.68974519278179,
        4.6897652182942124,
        4.689785243806635,
        4.6898052693190575,
        4.68982529483148,
        4.689845320343903,
        4.689865345856325,
        4.689884894570833,
        4.689904920083256,
        4.689924945595679,
        4.689944971108101,
        4.689964996620524,
        4.689985022132946,
        4.690005047645369,
        4.690025073157791,
        4.690045098670214,
        4.690065124182636,
        4.690085149695059,
        4.690105175207482,
        4.690125200719905,
        4.690144749434412,
        4.690164774946835,
        4.6901848004592575,
        4.69020482597168,
        4.6902248514841025,
        4.690244876996525,
        4.690264902508948,
        4.690284928021371,
        4.6903049535337935,
        4.690324502248301,
        4.690344527760724,
        4.690364553273146,
        4.690384578785569,
        4.690404604297991,
        4.690424629810414,
        4.690444655322836,
        4.690464204037345,
        4.690484229549767,
        4.69050425506219,
        4.690524280574612,
        4.690544306087035,
        4.690564331599457,
        4.690583880313965,
        4.6906039058263875,
        4.690623931338811,
        4.6906439568512335,
        4.690663982363656,
        4.690683531078164,
        4.690703556590586,
        4.690723582103009,
        4.690743607615431,
        4.690763633127854,
        4.690783181842362,
        4.690922883631405,
        4.690942909143828,
        4.690962457858336,
        4.6909824833707585,
        4.691002508883181,
        4.691022534395604,
        4.691042083110111,
        4.691062108622534,
        4.691082134134956,
        4.69110215964738,
        4.691121708361887,
        4.69114173387431,
        4.691161759386732,
        4.691181784899155,
        4.691201333613662,
        4.691221359126085,
        4.6912413846385075,
        4.691260933353016,
        4.6912809588654385,
        4.691300984377861,
        4.6913210098902836,
        4.691340558604791,
        4.691360584117214,
        4.691380609629636,
        4.691400158344145,
        4.691420183856567,
        4.69144020936899,
        4.691459758083497,
        4.69147978359592,
        4.691499809108342,
        4.69151935782285,
        4.691539383335273,
        4.691559408847696,
        4.6915789575622036,
        4.691598983074626,
        4.691619008587049,
        4.691638557301556,
        4.691658582813979,
        4.691678131528487,
        4.69169815704091,
        4.691718182553332,
        4.69173773126784,
        4.691757756780262,
        4.691777782292685,
        4.6917973310071925,
        4.691817356519616,
        4.6918369052341236,
        4.691856930746546,
        4.691876956258969,
        4.691896504973476,
        4.691916530485899,
        4.691936079200406,
        4.69195610471283,
        4.691976130225252,
        4.69199567893976,
        4.692015704452182,
        4.69203525316669,
        4.6920552786791125,
        4.692074827393621,
        4.692094852906044,
        4.692114878418466,
        4.692134427132974,
        4.692154452645396,
        4.692174001359904,
        4.692194026872326,
        4.692213575586835,
        4.692233601099257,
        4.692253149813765,
        4.6922731753261875,
        4.692292724040695,
        4.692312749553118,
        4.692332298267626,
        4.692352323780049,
        4.692372349292471,
        4.692391898006979,
        4.692411923519401,
        4.692431472233909,
        4.692451497746331,
        4.69247104646084,
        4.692491071973262,
        4.69251062068777,
        4.692530646200193,
        4.6925501949147,
        4.692569743629208,
        4.692589769141631,
        4.692609317856139,
        4.692629343368561,
        4.692648892083069,
        4.692668917595491,
        4.692688466309999,
        4.692708491822422,
        4.69272804053693,
        4.692748066049353,
        4.69276761476386,
        4.692787640276283,
        4.69280718899079,
        4.692826737705299,
        4.692846763217721,
        4.692866311932229,
        4.6928863374446514,
        4.692905886159159,
        4.692925911671582,
        4.692945460386089,
        4.692965009100598,
        4.69298503461302,
        4.693004583327528,
        4.69302460883995,
        4.693044157554458,
        4.693063706268966,
        4.693083731781389,
        4.6931032804958965,
        4.693123306008319,
        4.693142854722827,
        4.693162403437334,
        4.693182428949757,
        4.693201977664265,
        4.693221526378773,
        4.693241551891195,
        4.693261100605703,
        4.693280649320211,
        4.693300674832634,
        4.693320223547142,
        4.693340249059564,
        4.693359797774072,
        4.693379346488579,
        4.693399372001002,
        4.69341892071551,
        4.693438469430018,
        4.6934584949424405,
        4.693478043656948,
        4.693497592371456,
        4.693517617883878,
        4.693537166598387,
        4.693556715312894,
        4.693576264027402,
        4.693596289539824,
        4.693615838254332,
        4.6936353869688405,
        4.693655412481263,
        4.693674961195771,
        4.693694509910278,
        4.693714535422701,
        4.693734084137208,
        4.693753632851717,
        4.6937731815662245,
        4.693793207078647,
        4.693812755793155,
        4.693832304507662,
        4.693851853222171,
        4.693871878734593,
        4.693891427449101,
        4.693910976163608,
        4.693930524878116,
        4.693950550390539,
        4.693970099105047,
        4.693989647819555,
        4.694009196534062,
        4.694029222046485,
        4.694048770760992,
        4.694068319475501,
        4.6940878681900085,
        4.694107416904516,
        4.694127442416939,
        4.694146991131446,
        4.694166539845955,
        4.694186088560462,
        4.69420563727497,
        4.694225662787392,
        4.6942452115019,
        4.6942647602164085,
        4.694284308930916,
        4.694303857645424,
        4.694323883157846,
        4.694343431872354,
        4.694362980586862,
        4.69438252930137,
        4.6944020780158775,
        4.694421626730385,
        4.694441652242808,
        4.694461200957316,
        4.694480749671824,
        4.694500298386331,
        4.694519847100839,
        4.6945393958153465,
        4.694558944529855,
        4.6945789700422775,
        4.694598518756785,
        4.694618067471293,
        4.6946376161858,
        4.694657164900309,
        4.694676713614816,
        4.694696262329324,
        4.694715811043832,
        4.694735836556254,
        4.694755385270763,
        4.69477493398527,
        4.694794482699778,
        4.694814031414285,
        4.694833580128793,
        4.6948531288433015,
        4.694872677557809,
        4.694892226272317,
        4.694911774986824,
        4.694931323701333,
        4.69495087241584,
        4.694970897928263,
        4.6949904466427705,
        4.695009995357278,
        4.695029544071786,
        4.695049092786294,
        4.695068641500802,
        4.695088190215309,
        4.695107738929817,
        4.6951272876443255,
        4.695146836358833,
        4.695166385073341,
        4.695185933787848,
        4.695205482502356,
        4.695225031216864,
        4.695244579931372,
        4.69526412864588,
        4.695283677360387,
        4.695303226074895,
        4.695322774789403,
        4.695342323503911,
        4.6953618722184185,
        4.695381420932926,
        4.695400969647435,
        4.695420518361942,
        4.69544006707645,
        4.695459615790957,
        4.695479164505465,
        4.6954987132199735,
        4.695518261934481,
        4.695537810648989,
        4.695557359363496,
        4.695576908078005,
        4.695596456792512,
        4.69561600550702,
        4.695635554221528,
        4.695655102936035,
        4.695674651650544,
        4.695694200365051,
        4.695713749079559,
        4.6957332977940665,
        4.69575236971066,
        4.695771918425168,
        4.695791467139675,
        4.695811015854183,
        4.69583056456869,
        4.695850113283199,
        4.6958696619977065,
        4.695889210712214,
        4.695908759426722,
        4.69592830814123,
        4.695947856855738,
        4.6959669287723305,
        4.695986477486838,
        4.6960060262013466,
        4.696025574915854,
        4.696045123630362,
        4.696064672344869,
        4.696084221059377,
        4.696103769773885,
        4.696123318488393,
        4.696142390404986,
        4.696161939119493,
        4.696181487834002,
        4.696201036548509,
        4.696220585263017,
        4.696240133977525,
        4.696259205894118,
        4.696278754608626,
        4.696298303323133,
        4.696317852037641,
        4.696337400752149,
        4.696356949466657,
        4.69637602138325,
        4.696395570097757,
        4.696415118812265,
        4.696434667526773,
        4.696454216241281,
        4.696473764955789,
        4.696492836872381,
        4.69651238558689,
        4.696531934301397,
        4.696551483015905,
        4.696571031730413,
        4.696590103647006,
        4.696609652361514,
        4.696629201076021,
        4.696648749790529,
        4.6966678217071225,
        4.69668737042163,
        4.696706919136138,
        4.696726467850645,
        4.696746016565153,
        4.6967650884817465,
        4.696784637196254,
        4.696804185910762,
        4.696823734625269,
        4.696842806541863,
        4.69686235525637,
        4.696881903970878,
        4.696901452685386,
        4.696920524601979,
        4.696940073316487,
        4.696959622030994,
        4.696978693947587,
        4.6969982426620955,
        4.697017791376603,
        4.697037340091111,
        4.697056412007703,
        4.697075960722212,
        4.6970955094367195,
        4.697114581353312,
        4.69713413006782,
        4.697153678782328,
        4.697172750698921,
        4.6971922994134285,
        4.697211848127936,
        4.69723092004453,
        4.697250468759037,
        4.697270017473545,
        4.6972895661880525,
        4.697308638104646,
        4.697328186819154,
        4.697347258735746,
        4.697366807450255,
        4.697386356164762,
        4.697405428081355,
        4.697424976795863,
        4.69744452551037,
        4.697463597426964,
        4.697483146141471,
        4.697502694855979,
        4.697521766772573,
        4.69754131548708,
        4.697560864201588,
        4.6975799361181805,
        4.697599484832689,
        4.697618556749282,
        4.697638105463789,
        4.697657654178297,
        4.69767672609489,
        4.697696274809398,
        4.697715346725991,
        4.697734895440498,
        4.697754444155007,
        4.697773516071599,
        4.697793064786107,
        4.697812136702701,
        4.697831685417208,
        4.697850757333801,
        4.6978703060483085,
        4.697889854762817,
        4.69790892667941,
        4.697928475393917,
        4.69794754731051,
        4.697967096025018,
        4.697986167941611,
        4.698005716656119,
        4.698024788572711,
        4.69804433728722,
        4.698063886001727,
        4.69808295791832,
        4.698102506632828,
        4.698121578549421,
        4.698141127263929,
        4.6981601991805215,
        4.69817974789503,
        4.698198819811623,
        4.69821836852613,
        4.698237440442723,
        4.6982569891572314,
        4.698276061073824,
        4.698295609788332,
        4.698314681704925,
        4.698334230419433,
        4.6983533023360255,
        4.698372851050533,
        4.698391922967127,
        4.698411471681634,
        4.698430543598227,
        4.698450092312735,
        4.698469164229328,
        4.698488236145921,
        4.698507784860428,
        4.698526856777022,
        4.69854640549153,
        4.698565477408122,
        4.69858502612263,
        4.698604098039223,
        4.698623646753731,
        4.698642718670324,
        4.698661790586917,
        4.698681339301425,
        4.6987004112180175,
        4.698719959932525,
        4.698739031849119,
        4.698758580563626,
        4.698777652480219,
        4.6987967243968125,
        4.69881627311132,
        4.698835345027913,
        4.69885489374242,
        4.698873965659014,
        4.698893037575607,
        4.698912586290114,
        4.698931658206708,
        4.698951206921215,
        4.698970278837808,
        4.698989350754401,
        4.699008899468909,
        4.699027971385502,
        4.6990470433020946,
        4.699066592016603,
        4.699085663933196,
        4.699105212647703,
        4.699124284564296,
        4.6991433564808895,
        4.699162905195397,
        4.69918197711199,
        4.699201049028583,
        4.699220597743091,
        4.699239669659684,
        4.699258741576277,
        4.699278290290785,
        4.6992973622073775,
        4.69931643412397,
        4.699335982838479,
        4.699355054755071,
        4.699374126671664,
        4.6993936753861725,
        4.699412747302765,
        4.699431819219358,
        4.699450891135951,
        4.699470439850459,
        4.699643040695625,
        4.699662589410133,
        4.699681661326726,
        4.6997007332433185,
        4.699719805159912,
        4.69973935387442,
        4.699758425791012,
        4.699777497707606,
        4.699796569624199,
        4.699816118338706,
        4.699835190255299,
        4.699854262171892,
        4.699873334088485,
        4.699892406005078,
        4.699911954719586,
        4.699931026636179,
        4.699950098552772,
        4.699969170469365,
        4.699988719183873,
        4.700007791100465,
        4.700026863017059,
        4.700045934933652,
        4.700065006850244,
        4.700084078766838,
        4.7001036274813455,
        4.700122699397938,
        4.700141771314531,
        4.700160843231124,
        4.700179915147717,
        4.700199463862225,
        4.700218535778818,
        4.700237607695411,
        4.7002566796120036,
        4.700275751528597,
        4.70029482344519,
        4.700314372159697,
        4.700333444076291,
        4.700352515992884,
        4.700371587909476,
        4.70039065982607,
        4.7004097317426625,
        4.700428803659255,
        4.700448352373763,
        4.700467424290356,
        4.700486496206949,
        4.700505568123542,
        4.700524640040135,
        4.700543711956728,
        4.700562783873321,
        4.700581855789914,
        4.700600927706507,
        4.700620476421014,
        4.700639548337608,
        4.700658620254201,
        4.700677692170793,
        4.700696764087387,
        4.70071583600398,
        4.700734907920572,
        4.700753979837166,
        4.7007730517537585,
        4.700792123670351,
        4.700811195586945,
        4.700830267503537,
        4.70084933942013,
        4.7008688881346385,
        4.700887960051231,
        4.700907031967824,
        4.700926103884417,
        4.70094517580101,
        4.700964247717603,
        4.7009833196341955,
        4.701002391550789,
        4.701021463467382,
        4.701040535383974,
        4.701059607300568,
        4.701078679217161,
        4.701097751133753,
        4.701116823050347,
        4.7011358949669395,
        4.701154966883532,
        4.701174038800126,
        4.701193110716718,
        4.701212182633311,
        4.701231254549905,
        4.701250326466497,
        4.70126939838309,
        4.7012884702996836,
        4.701307542216276,
        4.701326614132869,
        4.7013456860494625,
        4.701364757966055,
        4.701383829882648,
        4.701402901799241,
        4.701421973715834,
        4.701441045632427,
        4.70146011754902,
        4.701479189465613,
        4.701498261382206,
        4.701517333298799,
        4.701536405215392,
        4.7015550003340705,
        4.701574072250663,
        4.701593144167256,
        4.701612216083849,
        4.701631288000442,
        4.701650359917035,
        4.701669431833628,
        4.701688503750221,
        4.701707575666814,
        4.701726647583407,
        4.7017457195,
        4.7017647914165925,
        4.701783863333186,
        4.701802458451864,
        4.7018215303684565,
        4.70184060228505,
        4.701859674201643,
        4.701878746118235,
        4.701897818034829,
        4.701916889951422,
        4.701935961868014,
        4.701955033784608,
        4.701973628903286,
        4.701992700819878,
        4.702011772736472,
        4.7020308446530645,
        4.702049916569657,
        4.702068988486251,
        4.702088060402843,
        4.702106655521522,
        4.702125727438115,
        4.702144799354707,
        4.702163871271301,
        4.702182943187894,
        4.702202015104486,
        4.702220610223165,
        4.702239682139758,
        4.70225875405635,
        4.702277825972944,
        4.7022968978895365,
        4.702315969806129,
        4.702334564924808,
        4.7023536368414005,
        4.702372708757993,
        4.702391780674587,
        4.702410852591179,
        4.702429447709858,
        4.702448519626451,
        4.702467591543043,
        4.702486663459637,
        4.702505258578315,
        4.702524330494907,
        4.702543402411501,
        4.702562474328094,
        4.702581546244686,
        4.702600141363365,
        4.702619213279958,
        4.702638285196551,
        4.702657357113144,
        4.7026759522318216,
        4.702695024148415,
        4.702714096065008,
        4.7027331679816005,
        4.702751763100279,
        4.702770835016872,
        4.702789906933464,
        4.702808978850058,
        4.702827573968736,
        4.702846645885329,
        4.702865717801922,
        4.7028843129206,
        4.702903384837193,
        4.702922456753786,
        4.702941528670379,
        4.702960123789057,
        4.70297919570565,
        4.702998267622243,
        4.703016862740921,
        4.703035934657514,
        4.7030550065741075,
        4.703073601692785,
        4.703092673609378,
        4.703111745525971,
        4.703130340644649,
        4.703149412561242,
        4.703168484477835,
        4.703187079596513,
        4.703206151513107,
        4.703225223429699,
        4.703243818548377,
        4.703262890464971,
        4.703281962381563,
        4.703300557500241,
        4.703319629416835,
        4.703338701333427,
        4.703357296452106,
        4.703376368368699,
        4.703395440285291,
        4.70341403540397,
        4.703433107320563,
        4.70345170243924,
        4.703470774355834,
        4.703489846272427,
        4.703508441391105,
        4.703527513307698,
        4.703546585224291,
        4.703565180342969,
        4.703584252259562,
        4.70360284737824,
        4.703621919294833,
        4.703640514413511,
        4.7036595863301045,
        4.703678658246697,
        4.703697253365375,
        4.7037163252819685,
        4.703734920400646,
        4.703753992317239,
        4.7037730642338325,
        4.70379165935251,
        4.703810731269104,
        4.7038293263877815,
        4.703848398304374,
        4.703866993423053,
        4.7038860653396455,
        4.703904660458324,
        4.703923732374917,
        4.7039428042915095,
        4.703961399410188,
        4.703980471326781,
        4.703999066445459,
        4.704018138362052,
        4.70403673348073,
        4.704055805397323,
        4.704074400516001,
        4.704093472432594,
        4.704112067551272,
        4.704131139467865,
        4.704149734586544,
        4.704168806503136,
        4.704187401621814,
        4.704206473538408,
        4.7042250686570855,
        4.704244140573679,
        4.704262735692357,
        4.704281807608949,
        4.704300402727628,
        4.704319474644221,
        4.704338069762899,
        4.704357141679492,
        4.70437573679817,
        4.704394331916848,
        4.704413403833441,
        4.70443199895212,
        4.704451070868712,
        4.70446966598739,
        4.704488737903984,
        4.704507333022661,
        4.704526404939254,
        4.704545000057933,
        4.704564071974525,
        4.704582667093204,
        4.704601262211882,
        4.7046203341284745,
        4.704638929247153,
        4.704658001163746,
        4.704676596282424,
        4.704695191401102,
        4.704714263317695,
        4.7047328584363735,
        4.704751930352966,
        4.704770525471645,
        4.7047891205903225,
        4.704808192506916,
        4.704826787625594,
        4.7048458595421865,
        4.704864454660865,
        4.704883049779543,
        4.704902121696136,
        4.704920716814814,
        4.704939788731407,
        4.7049583838500855,
        4.704976978968763,
        4.704996050885357,
        4.7050146460040345,
        4.705033241122712,
        4.705052313039306,
        4.705070908157984,
        4.705089503276662,
        4.705108575193255,
        4.705127170311933,
        4.705145765430611,
        4.705164837347204,
        4.7051834324658826,
        4.70520202758456,
        4.705221099501153,
        4.705239694619832,
        4.705258289738509,
        4.705277361655103,
        4.705295956773781,
        4.705314551892459,
        4.705333623809052,
        4.70535221892773,
        4.705370814046408,
        4.705389885963001,
        4.70540848108168,
        4.705427076200357,
        4.705445671319036,
        4.705464743235629,
        4.705483338354306,
        4.705501933472985,
        4.705520528591663,
        4.705539600508256,
        4.705558195626934,
        4.705576790745612,
        4.705595862662205,
        4.705614457780883,
        4.705633052899562,
        4.7056516480182395,
        4.705670719934832,
        4.7057641723261385,
        4.705782767444816,
        4.705801362563494,
        4.705819957682173,
        4.705839029598765,
        4.705857624717444,
        4.705876219836122,
        4.7058948149548,
        4.705913886871393,
        4.705932481990071,
        4.705951077108749,
        4.705969672227427,
        4.705988267346106,
        4.706007339262698,
        4.706025934381377,
        4.706044529500055,
        4.7060631246187326,
        4.706081719737411,
        4.706100314856089,
        4.7061193867726825,
        4.70613798189136,
        4.706156577010039,
        4.706175172128717,
        4.706193767247394,
        4.706212362366073,
        4.706231434282666,
        4.706250029401344,
        4.706268624520022,
        4.706287219638701,
        4.706305814757378,
        4.706324409876056,
        4.706343004994735,
        4.7063620769113275,
        4.706380672030006,
        4.706399267148684,
        4.7064178622673625,
        4.70643645738604,
        4.706455052504718,
        4.706473647623397,
        4.706492242742074,
        4.706511314658668,
        4.706529909777346,
        4.706548504896024,
        4.706567100014702,
        4.706585695133381,
        4.706604290252058,
        4.706622885370736,
        4.706641480489415,
        4.7066600756080925,
        4.706678670726771,
        4.706697265845449,
        4.7067163377620425,
        4.70673493288072,
        4.706753527999398,
        4.706772123118077,
        4.706790718236754,
        4.706809313355433,
        4.706827908474111,
        4.706846503592789,
        4.706865098711467,
        4.706883693830146,
        4.7069022889488235,
        4.706920884067501,
        4.70693947918618,
        4.706958074304858,
        4.706976669423536,
        4.706995264542214,
        4.707013859660893,
        4.70703245477957,
        4.707051049898249,
        4.707069645016927,
        4.707088240135605,
        4.707106835254283,
        4.707125430372961,
        4.7071440254916395,
        4.707162620610317,
        4.707181215728996,
        4.707199810847674,
        4.707218405966352,
        4.70723700108503,
        4.707255596203709,
        4.707274191322386,
        4.707292786441064,
        4.707311381559743,
        4.7073299766784205,
        4.707348571797099,
        4.707367166915777,
        4.7073857620344555,
        4.707404357153133,
        4.707422952271812,
        4.70744154739049,
        4.707460142509168,
        4.707478737627846,
        4.707497332746524,
        4.707515927865202,
        4.70753452298388,
        4.707553118102559,
        4.7075717132212365,
        4.707589831542,
        4.707608426660678,
        4.7076270217793565,
        4.707645616898034,
        4.707664212016713,
        4.707682807135391,
        4.707701402254068,
        4.707719997372747,
        4.707738592491425,
        4.707757187610103,
        4.707775782728781,
        4.707793901049545,
        4.707812496168223,
        4.707831091286901,
        4.707849686405579,
        4.707868281524258,
        4.707886876642935,
        4.707905471761614,
        4.707924066880292,
        4.7079426619989695,
        4.707960780319733,
        4.707979375438411,
        4.70799797055709,
        4.708016565675767,
        4.708035160794446,
        4.708053755913124,
        4.708072351031802,
        4.708090469352565,
        4.708109064471244,
        4.7081276595899215,
        4.7081462547086,
        4.708164849827278,
        4.7081834449459565,
        4.708201563266719,
        4.708220158385398,
        4.708238753504076,
        4.7082573486227535,
        4.708275943741432,
        4.708516249890503,
        4.708534845009182,
        4.70855344012786,
        4.708571558448623,
        4.708590153567301,
        4.708608748685979,
        4.7086273438046575,
        4.70864546212542,
        4.708664057244099,
        4.708682652362777,
        4.708701247481455,
        4.708719365802218,
        4.708737960920897,
        4.7087565560395745,
        4.708775151158253,
        4.708793269479016,
        4.708811864597695,
        4.708830459716372,
        4.708848578037136,
        4.708867173155814,
        4.7088857682744925,
        4.70890436339317,
        4.708922481713934,
        4.708941076832612,
        4.70895967195129,
        4.708977790272053,
        4.708996385390732,
        4.7090149805094095,
        4.709033098830173,
        4.709051693948851,
        4.70907028906753,
        4.709088407388292,
        4.709107002506971,
        4.709125597625649,
        4.7091437159464125,
        4.70916231106509,
        4.709180906183768,
        4.709199024504532,
        4.709217619623209,
        4.709236214741888,
        4.709254333062651,
        4.7092729281813295,
        4.709291523300007,
        4.709309641620771,
        4.709328236739449,
        4.709346831858127,
        4.70936495017889,
        4.709383545297569,
        4.7094021404162465,
        4.70942025873701,
        4.709438853855688,
        4.709456972176452,
        4.709475567295129,
        4.709494162413808,
        4.709512280734571,
        4.7095308758532495,
        4.709548994174012,
        4.709567589292691,
        4.709586184411369,
        4.709604302732132,
        4.70962289785081,
        4.709641016171574,
        4.709659611290252,
        4.70967820640893,
        4.709696324729693,
        4.709714919848372,
        4.7097330381691345,
        4.709751633287813,
        4.709769751608576,
        4.7097883467272545,
        4.709806941845932,
        4.709825060166696,
        4.709843655285374,
        4.7098617736061374,
        4.709880368724815,
        4.709898487045579,
        4.709917082164257,
        4.70993520048502,
        4.709953795603698,
        4.709972390722377,
        4.7099905090431395,
        4.710009104161818,
        4.710027222482581,
        4.71004581760126,
        4.710063935922022,
        4.710082531040701,
        4.710100649361464,
        4.7101192444801425,
        4.710137362800905,
        4.710155957919584,
        4.710174076240347,
        4.710192671359025,
        4.710210789679788,
        4.710229384798467,
        4.71024750311923,
        4.710266098237908,
        4.710284216558671,
        4.71030281167735,
        4.710320929998113,
        4.710339525116791,
        4.710357643437554,
        4.710375761758318,
        4.7103943568769955,
        4.710412475197759,
        4.710431070316438,
        4.710449188637201,
        4.710467783755879,
        4.710485902076642,
        4.710504497195321,
        4.7105226155160835,
        4.710541210634762,
        4.710559328955525,
        4.710577447276289,
        4.710596042394966,
        4.71061416071573,
        4.710632755834408,
        4.710650874155172,
        4.710669469273849,
        4.710687587594613,
        4.710705705915376,
        4.7107243010340545,
        4.710742419354817,
        4.710761014473496,
        4.710779132794259,
        4.7107972511150225,
        4.7108158462337,
        4.710833964554464,
        4.710852559673142,
        4.710870677993905,
        4.710888796314668,
        4.710907391433347,
        4.7109255097541105,
        4.710943628074873,
        4.710962223193552,
        4.710980341514315,
        4.710998936632993,
        4.711017054953756,
        4.71103517327452,
        4.711053768393198,
        4.711071886713961,
        4.711090005034724,
        4.711108600153403,
        4.711126718474166,
        4.711144836794929,
        4.711163431913607,
        4.711181550234371,
        4.711199668555134,
        4.711218263673812,
        4.711236381994575,
        4.711254500315339,
        4.7112730954340165,
        4.71129121375478,
        4.711309332075544,
        4.711327927194222,
        4.711346045514985,
        4.711364163835748,
        4.711382282156512,
        4.71140087727519,
        4.711418995595953,
        4.711437113916716,
        4.711455709035395,
        4.711473827356158,
        4.711491945676921,
        4.711510540795599,
        4.711528659116363,
        4.711546777437126,
        4.711564895757889,
        4.711583490876567,
        4.711601609197331,
        4.711619727518094,
        4.711637845838857,
        4.711656440957536,
        4.711674559278299,
        4.711692677599062,
        4.711710795919825,
        4.711729391038504,
        4.711747509359267,
        4.71176562768003,
        4.711783746000793,
        4.711802341119472,
        4.7118204594402355,
        4.711838577760998,
        4.711856696081762,
        4.711874814402525,
        4.7118934095212035,
        4.711911527841966,
        4.71192964616273,
        4.711947764483493,
        4.7119663596021715,
        4.711984477922934,
        4.712002596243698,
        4.712020714564461,
        4.7120388328852245,
        4.712057428003903,
        4.712075546324666,
        4.71209366464543,
        4.7121117829661925,
        4.712129901286956,
        4.712148019607719,
        4.712166614726398,
        4.7121847330471605,
        4.712202851367924,
        4.712220969688687,
        4.712239088009451,
        4.712257206330214,
        4.712275801448892,
        4.712293919769656,
        4.712312038090419,
        4.712330156411182,
        4.712348274731945,
        4.712366393052709,
        4.712384511373472,
        4.71240310649215,
        4.712421224812913,
        4.712439343133677,
        4.7124574614544406,
        4.712475579775203,
        4.712493698095967,
        4.71251181641673,
        4.712529934737494,
        4.712548529856171,
        4.712566648176935,
        4.712584766497698,
        4.712602884818462,
        4.712621003139225,
        4.712639121459988,
        4.712657239780752,
        4.712675358101515,
        4.712693476422278,
        4.712711594743041,
        4.712729713063805,
        4.712748308182483,
        4.712766426503246,
        4.71278454482401,
        4.712802663144773,
        4.7128207814655365,
        4.712838899786299,
        4.712857018107063,
        4.712875136427826,
        4.7128932547485896,
        4.712911373069353,
        4.712929491390116,
        4.71294760971088,
        4.712965728031643,
        4.712983846352406,
        4.713001964673169,
        4.713020082993933,
        4.7130382013146965,
        4.713056319635459,
        4.713074437956223,
        4.713092556276986,
        4.71311067459775,
        4.713128792918512,
        4.713146911239276,
        4.713165029560039,
        4.713183147880803,
        4.713201266201566,
        4.713219384522329,
        4.713237502843093,
        4.713255621163856,
        4.713273739484619,
        4.713291857805382,
        4.713309976126146,
        4.71332809444691,
        4.713346212767672,
        4.713364331088436,
        4.713382449409199,
        4.713400567729963,
        4.7134186860507254,
        4.713436804371489,
        4.713454922692253,
        4.713473041013016,
        4.713491159333779,
        4.713509277654542,
        4.713527395975306,
        4.713545514296069,
        4.713563632616832,
        4.713581750937595,
        4.713599869258359,
        4.713617987579123,
        4.7136361058998855,
        4.713654224220649,
        4.713672342541412,
        4.713689984064261,
        4.7137081023850245,
        4.713726220705787,
        4.713744339026551,
        4.713762457347314,
        4.7137805756680775,
        4.71379869398884,
        4.713816812309604,
        4.713834930630368,
        4.7138530489511306,
        4.713871167271894,
        4.713888808794742,
        4.713906927115506,
        4.713925045436269,
        4.713943163757032,
        4.713961282077796,
        4.713979400398559,
        4.713997518719323,
        4.714015637040085,
        4.714033278562934,
        4.714051396883698,
        4.714069515204461,
        4.714087633525224,
        4.714105751845987,
        4.714123870166751,
        4.714141988487514,
        4.7141596300103625,
        4.714177748331126,
        4.714195866651889,
        4.714213984972653,
        4.714232103293416,
        4.714250221614179,
        4.714267863137028,
        4.714285981457791,
        4.714304099778555,
        4.714322218099317,
        4.714340336420081,
        4.714358454740844,
        4.714376096263693,
        4.714394214584456,
        4.714412332905219,
        4.714430451225983,
        4.714448569546746,
        4.7144662110695945,
        4.714484329390358,
        4.714502447711121,
        4.714520566031885,
        4.714538684352648,
        4.714556325875496,
        4.71457444419626,
        4.714592562517023,
        4.714610680837787,
        4.7146283223606344,
        4.714646440681398,
        4.714664559002162,
        4.714682677322925,
        4.7147003188457735,
        4.714718437166536,
        4.7147365554873,
        4.714754673808063,
        4.714772315330912,
        4.714790433651675,
        4.714808551972438,
        4.714826670293202,
        4.714844311816051,
        4.714862430136813,
        4.714880548457577,
        4.71489866677834,
        4.714916308301189,
        4.7149344266219515,
        4.714952544942715,
        4.714970186465564,
        4.714988304786327,
        4.7150064231070905,
        4.715024541427853,
        4.715042182950702,
        4.715060301271466,
        4.715078419592229,
        4.715096061115077,
        4.71511417943584,
        4.715132297756604,
        4.715149939279453,
        4.7151680576002155,
        4.715186175920979,
        4.715204294241742,
        4.715221935764591,
        4.7152400540853545,
        4.715258172406117,
        4.715275813928966,
        4.715293932249729,
        4.715312050570493,
        4.715329692093341,
        4.715347810414104,
        4.715365451936953,
        4.715383570257717,
        4.7154016885784795,
        4.715419330101328,
        4.715437448422091,
        4.715455566742855,
        4.715473208265704,
        4.715491326586466,
        4.71550944490723,
        4.715527086430078,
        4.715545204750842,
        4.7155628462736905,
        4.715580964594453,
        4.715599082915217,
        4.715616724438066,
        4.715634842758829,
        4.715652484281677,
        4.71567060260244,
        4.715688720923204,
        4.715706362446053,
        4.7157244807668155,
        4.715742122289664,
        4.715760240610427,
        4.715778358931191,
        4.71579600045404,
        4.715814118774802,
        4.715831760297651,
        4.715849878618414,
        4.715867996939178,
        4.7158856384620265,
        4.715903756782789,
        4.715921398305638,
        4.715939516626402,
        4.71595715814925,
        4.715975276470013,
        4.715992917992861,
        4.716011036313625,
        4.716028677836474,
        4.7160467961572365,
        4.716064914478,
        4.716082556000849,
        4.716100674321612,
        4.716118315844461,
        4.716136434165223,
        4.716154075688072,
        4.716172194008836,
        4.716189835531684,
        4.7162079538524475,
        4.716225595375296,
        4.716243713696059,
        4.716261355218908,
        4.716279473539671,
        4.7162971150625195,
        4.716315233383283,
        4.716332874906131,
        4.716350993226895,
        4.7163686347497435,
        4.716386753070506,
        4.716404394593355,
        4.716422512914118,
        4.716440154436967,
        4.71645827275773,
        4.716475914280578,
        4.716494032601342,
        4.716511674124191,
        4.716529792444954,
        4.716547433967802,
        4.71656507549065,
        4.716583193811414,
        4.716600835334263,
        4.716618953655026,
        4.716636595177874,
        4.716654713498637,
        4.716672355021486,
        4.71669047334225,
        4.716708114865098,
        4.716725756387946,
        4.71674387470871,
        4.716761516231558,
        4.716779634552322,
        4.71679727607517,
        4.716815394395933,
        4.716833035918782,
        4.716850677441631,
        4.716868795762394,
        4.716886437285242,
        4.716904555606005,
        4.716922197128854,
        4.716939838651703,
        4.716957956972466,
        4.716975598495314,
        4.716993716816078,
        4.717011358338926,
        4.717028999861775,
        4.7170471181825375,
        4.717064759705386,
        4.717082401228235,
        4.717100519548998,
        4.717118161071847,
        4.71713627939261,
        4.717153920915458,
        4.717171562438307,
        4.717189680759071,
        4.717207322281919,
        4.717224963804767,
        4.717243082125531,
        4.7174743291142205,
        4.717491970637069,
        4.717510088957832,
        4.717527730480681,
        4.71754537200353,
        4.7175630135263775,
        4.717581131847141,
        4.717598773369989,
        4.717616414892838,
        4.717634533213602,
        4.7176521747364495,
        4.717669816259298,
        4.717687457782147,
        4.71770557610291,
        4.717723217625759,
        4.717740859148607,
        4.71775897746937,
        4.717776618992219,
        4.717794260515068,
        4.717811902037916,
        4.717830020358679,
        4.717847661881528,
        4.717865303404376,
        4.717882944927225,
        4.717901063247988,
        4.717918704770836,
        4.717936346293685,
        4.717953987816534,
        4.717971629339382,
        4.717989747660146,
        4.7180073891829934,
        4.718025030705842,
        4.718042672228691,
        4.718060790549454,
        4.718078432072303,
        4.718096073595151,
        4.718113715117999,
        4.718131356640848,
        4.718149474961612,
        4.71816711648446,
        4.718184758007308,
        4.718202399530157,
        4.718220041053005,
        4.718238159373769,
        4.718255800896618,
        4.7182734424194654,
        4.718291083942314,
        4.718308725465163,
        4.718326366988011,
        4.718344485308775,
        4.718362126831623,
        4.718379768354471,
        4.71839740987732,
        4.718415051400169,
        4.718432692923017,
        4.71845081124378,
        4.718468452766629,
        4.718486094289477,
        4.718503735812326,
        4.718521377335175,
        4.7185390188580225,
        4.718556660380871,
        4.718574778701635,
        4.718592420224483,
        4.718610061747332,
        4.71862770327018,
        4.718645344793028,
        4.720534179732605,
        4.722564146854968,
        4.722585125963221,
        4.722606105071473,
        4.7226270841797255,
        4.722648063287978,
        4.72266904239623,
        4.722690498302397,
        4.722711477410649,
        4.7227324565189015,
        4.722753435627154,
        4.722774414735406,
        4.722795393843659,
        4.722816372951911,
        4.722837352060163,
        4.722858331168415,
        4.722879310276667,
        4.72290028938492,
        4.722921745291087,
        4.722942724399339,
        4.722963703507592,
        4.722984682615843,
        4.723005661724096,
        4.723026640832348,
        4.7230476199406,
        4.723068599048853,
        4.723089578157105,
        4.723110557265358,
        4.72313153637361,
        4.723152515481861,
        4.723173494590114,
        4.723194473698366,
        4.723215452806619,
        4.723236431914871,
        4.723257411023123,
        4.723278390131376,
        4.723299369239627,
        4.72332034834788,
        4.723341327456132,
        4.723362306564384,
        4.723383285672637,
        4.723404264780889,
        4.7234252438891415,
        4.723446222997394,
        4.723467202105645,
        4.723488181213898,
        4.72350916032215,
        4.723530139430403,
        4.723551118538655,
        4.723572097646907,
        4.72359307675516,
        4.723614055863411,
        4.723635034971664,
        4.723656014079916,
        4.723676516390253,
        4.723697495498506,
        4.723718474606758,
        4.723739453715011,
        4.723760432823263,
        4.7237814119315145,
        4.723802391039767,
        4.723823370148019,
        4.723844349256272,
        4.723865328364524,
        4.723886307472776,
        4.723906809783114,
        4.723927788891366,
        4.723948767999619,
        4.72396974710787,
        4.7239907262161225,
        4.724011705324375,
        4.724032684432627,
        4.72405366354088,
        4.724074642649132,
        4.7240951449594695,
        4.724116124067722,
        4.724137103175973,
        4.724158082284226,
        4.724179061392478,
        4.7242000405007305,
        4.724220542811068,
        4.72424152191932,
        4.724262501027573,
        4.724283480135825,
        4.7243044592440775,
        4.724325438352329,
        4.724345940662666,
        4.724366919770919,
        4.724387898879171,
        4.724408877987424,
        4.724429857095676,
        4.724450359406013,
        4.724471338514266,
        4.724492317622518,
        4.72451329673077,
        4.724534275839022,
        4.7245547781493595,
        4.724575757257612,
        4.724596736365864,
        4.724617715474117,
        4.724638217784454,
        4.7246591968927065,
        4.724680176000959,
        4.72470115510921,
        4.724721657419548,
        4.7247426365278,
        4.724763615636053,
        4.724784594744305,
        4.7248050970546425,
        4.724826076162895,
        4.724847055271147,
        4.7248680343794,
        4.724888536689737,
        4.724909515797989,
        4.724930494906241,
        4.724950997216578,
        4.724971976324831,
        4.724992955433083,
        4.725013934541336,
        4.725034436851673,
        4.725055415959925,
        4.725076395068178,
        4.725096897378515,
        4.725117876486767,
        4.725138855595019,
        4.725159357905357,
        4.725180337013609,
        4.725201316121861,
        4.725221818432199,
        4.725242797540451,
        4.725263776648704,
        4.725284278959041,
        4.725305258067293,
        4.725326237175545,
        4.725346739485882,
        4.725367718594135,
        4.725388220904472,
        4.725409200012725,
        4.725430179120977,
        4.725450681431314,
        4.725471660539567,
        4.725492639647819,
        4.725513141958157,
        4.725534121066409,
        4.7255546233767465,
        4.725575602484998,
        4.72559658159325,
        4.725617083903588,
        4.72563806301184,
        4.725658565322178,
        4.72567954443043,
        4.725700523538682,
        4.72572102584902,
        4.725742004957272,
        4.72576250726761,
        4.725783486375862,
        4.7258039886861996,
        4.725824967794451,
        4.7258454701047885,
        4.725866449213041,
        4.725887428321293,
        4.725907930631631,
        4.725928909739883,
        4.725949412050221,
        4.725970391158473,
        4.72599089346881,
        4.726011872577063,
        4.7260323748874,
        4.726053353995653,
        4.72607385630599,
        4.726094835414242,
        4.726115337724579,
        4.726136316832831,
        4.726156819143169,
        4.726177798251421,
        4.726198300561759,
        4.726219279670011,
        4.7262397819803486,
        4.726467691383634,
        4.726488670491887,
        4.726509172802224,
        4.7265301519104765,
        4.726550654220814,
        4.7265711565311515,
        4.726592135639404,
        4.726612637949741,
        4.726633617057994,
        4.726654119368331,
        4.726675098476583,
        4.72669560078692,
        4.7267161030972575,
        4.72673708220551,
        4.726757584515847,
        4.7267785636241,
        4.726799065934437,
        4.726819568244775,
        4.726840547353027,
        4.7268610496633645,
        4.726881551973702,
        4.726902531081954,
        4.726923033392292,
        4.726944012500544,
        4.726964514810882,
        4.726985017121219,
        4.727005996229471,
        4.727026498539808,
        4.7270470008501455,
        4.727067979958398,
        4.727088482268735,
        4.727108984579073,
        4.727129963687325,
        4.727150465997663,
        4.727170968308,
        4.7271919474162525,
        4.72721244972659,
        4.727232952036927,
        4.727253454347265,
        4.727274433455517,
        4.727294935765855,
        4.727315438076192,
        4.7273364171844445,
        4.727356919494782,
        4.727377421805119,
        4.727397924115456,
        4.727418903223708,
        4.727439405534046,
        4.727459907844383,
        4.727480886952636,
        4.727501389262973,
        4.727521891573311,
        4.727542393883648,
        4.727995828700646,
        4.728016331010983,
        4.728036833321321,
        4.728057812429573,
        4.728078314739911,
        4.728098817050248,
        4.7281193193605855,
        4.728139821670923,
        4.72816032398126,
        4.728180826291598,
        4.72820180539985,
        4.728222307710188,
        4.728242810020525,
        4.728263312330863,
        4.7282838146412,
        4.7283043169515375,
        4.728324819261875,
        4.728345321572212,
        4.728366300680465,
        4.728386802990801,
        4.728407305301139,
        4.728427807611476,
        4.728448309921814,
        4.728468812232151,
        4.728489314542489,
        4.728509816852826,
        4.728530319163164,
        4.728550821473501,
        4.7285713237838385,
        4.728592302892091,
        4.728612805202428,
        4.728633307512766,
        4.728653809823103,
        4.728674312133441,
        4.728694814443778,
        4.728715316754116,
        4.728735819064453,
        4.7287563213747905,
        4.728776823685128,
        4.728797325995465,
        4.728817828305803,
        4.72883833061614,
        4.728858832926478,
        4.728879335236815,
        4.728899837547153,
        4.72892033985749,
        4.728940842167828,
        4.728961344478165,
        4.7289818467885025,
        4.72908435834019,
        4.729104860650527,
        4.729125362960865,
        4.729145865271202,
        4.72916636758154,
        4.729186869891877,
        4.7292073722022145,
        4.729227874512552,
        4.7292483768228895,
        4.729268879133227,
        4.729289381443564,
        4.729309883753902,
        4.729330386064239,
        4.729350888374577,
        4.729371390684914,
        4.729391416197337,
        4.729411918507674,
        4.729432420818012,
        4.729452923128349,
        4.7294734254386865,
        4.729493927749024,
        4.7295144300593615,
        4.729534932369699,
        4.729555434680036,
        4.729575936990374,
        4.72959643930071,
        4.729616464813134,
        4.729636967123471,
        4.729657469433809,
        4.729677971744146,
        4.729698474054484,
        4.72971897636482,
        4.729739478675158,
        4.729759980985495,
        4.7297800064979185,
        4.729800508808256,
        4.729821011118593,
        4.729841513428931,
        4.7298620157392675,
        4.729882518049605,
        4.729903020359942,
        4.729923045872366,
        4.729943548182703,
        4.729964050493041,
        4.729984552803378,
        4.730005055113715,
        4.730025080626138,
        4.730045582936476,
        4.730066085246813,
        4.7300865875571505,
        4.730107089867488,
        4.730127592177825,
        4.730147617690248,
        4.730168120000585,
        4.730188622310923,
        4.73020912462126,
        4.730229150133683,
        4.73024965244402,
        4.730270154754358,
        4.730290657064695,
        4.730311159375033,
        4.730331184887455,
        4.730351687197793,
        4.73037218950813,
        4.7303926918184676,
        4.73041271733089,
        4.7304332196412275,
        4.730453721951565,
        4.7304742242619024,
        4.730494249774325,
        4.730514752084662,
        4.730535254395,
        4.730555756705337,
        4.73057578221776,
        4.730596284528097,
        4.730616786838435,
        4.730636812350857,
        4.730657314661195,
        4.730677816971532,
        4.73069831928187,
        4.730718344794292,
        4.73073884710463,
        4.730759349414967,
        4.73077937492739,
        4.730799877237727,
        4.730820379548065,
        4.730840405060487,
        4.7308609073708245,
        4.730881409681162,
        4.7309014351935845,
        4.730921937503922,
        4.730942439814259,
        4.730962465326682,
        4.730982967637019,
        4.731003469947357,
        4.731023495459779,
        4.731043997770117,
        4.731064500080454,
        4.731084525592877,
        4.731105027903214,
        4.731125053415637,
        4.731145555725974,
        4.731166058036312,
        4.731186083548734,
        4.731206585859072,
        4.731227088169409,
        4.731247113681833,
        4.73126761599217,
        4.731287641504593,
        4.73130814381493,
        4.7313286461252675,
        4.73134867163769,
        4.7313691739480275,
        4.73138919946045,
        4.7314097017707875,
        4.73142972728321,
        4.731450229593547,
        4.731470731903885,
        4.731490757416307,
        4.731511259726645,
        4.731531285239067,
        4.731551787549405,
        4.731571813061827,
        4.731592315372165,
        4.731612340884587,
        4.731632843194925,
        4.731653345505262,
        4.731673371017685,
        4.731693873328022,
        4.731713898840445,
        4.731734401150782,
        4.731754426663205,
        4.731774928973542,
        4.731794954485965,
        4.731815456796302,
        4.731835482308726,
        4.731855984619063,
        4.731876010131486,
        4.731896512441823,
        4.731916537954246,
        4.731937040264583,
        4.731957065777006,
        4.731977568087343,
        4.731997593599766,
        4.732018095910103,
        4.732038121422526,
        4.732058623732863,
        4.7320786492452855,
        4.732098674757708,
        4.7321191770680455,
        4.732139202580468,
        4.7321597048908055,
        4.732179730403228,
        4.7322002327135655,
        4.732220258225988,
        4.7322407605363255,
        4.732260786048748,
        4.732280811561171,
        4.732301313871509,
        4.732321339383931,
        4.732341841694269,
        4.732361867206691,
        4.732381892719114,
        4.732402395029451,
        4.732422420541874,
        4.732442922852211,
        4.732462948364634,
        4.732482973877056,
        4.732503476187394,
        4.732523501699816,
        4.732544004010154,
        4.732564029522576,
        4.732584055034999,
        4.732604557345336,
        4.732624582857759,
        4.732644608370182,
        4.73266511068052,
        4.732685136192942,
        4.73270563850328,
        4.732725664015702,
        4.732745689528125,
        4.732766191838462,
        4.732786217350885,
        4.732806242863307,
        4.732826745173645,
        4.732846770686067,
        4.73286679619849,
        4.732887298508827,
        4.73290732402125,
        4.732927349533672,
        4.732947375046095,
        4.732967877356432,
        4.732987902868856,
        4.733007928381278,
        4.733028430691616,
        4.733048456204038,
        4.733068481716461,
        4.733088984026798,
        4.733109009539221,
        4.733129035051643,
        4.733149060564066,
        4.733169562874403,
        4.733189588386826,
        4.733209613899248,
        4.733229639411671,
        4.733250141722008,
        4.733270167234431,
        4.733290192746854,
        4.733310218259277,
        4.733330720569614,
        4.733350746082037,
        4.733370771594459,
        4.733390797106882,
        4.733411299417219,
        4.733431324929642,
        4.733451350442064,
        4.733471375954487,
        4.733491878264824,
        4.733511903777247,
        4.733531929289669,
        4.733551954802093,
        4.733571980314515,
        4.733592482624853,
        4.733612508137275,
        4.733632533649698,
        4.73365255916212,
        4.733672584674543,
        4.73369308698488,
        4.733713112497303,
        4.733733138009725,
        4.733753163522148,
        4.7337731890345704,
        4.733793214546993,
        4.73381371685733,
        4.733833742369754,
        4.733853767882176,
        4.733873793394599,
        4.733893818907021,
        4.733913844419444,
        4.7339338699318665,
        4.733954372242204,
        4.7339743977546265,
        4.733994423267049,
        4.7340144487794715,
        4.734034474291894,
        4.7340544998043175,
        4.73407452531674,
        4.7340945508291625,
        4.7341150531395,
        4.7341350786519225,
        4.734155104164345,
        4.734175129676768,
        4.73419515518919,
        4.734215180701613,
        4.734235206214035,
        4.734255231726458,
        4.734275257238881,
        4.734295282751304,
        4.734315308263726,
        4.734335333776149,
        4.734355836086486,
        4.734375861598909,
        4.734395887111331,
        4.734415912623754,
        4.734435938136176,
        4.734455963648599,
        4.734475989161021,
        4.734496014673444,
        4.734516040185867,
        4.73453606569829,
        4.734556091210712,
        4.734576116723135,
        4.734596142235557,
        4.73461616774798,
        4.734636193260402,
        4.734656218772825,
        4.7346762442852475,
        4.73469626979767,
        4.734716295310093,
        4.734736320822516,
        4.7347563463349385,
        4.734776371847361,
        4.7347963973597835,
        4.734816422872206,
        4.734836448384629,
        4.734856473897051,
        4.734876499409474,
        4.734896524921896,
        4.73491655043432,
        4.734936575946742,
        4.734956601459165,
        4.734976626971587,
        4.73499665248401,
        4.735016677996432,
        4.735036703508855,
        4.735056729021277,
        4.7350767545337,
        4.735096780046122,
        4.735116805558546,
        4.735136354273053,
        4.735156379785476,
        4.735176405297898,
        4.735196430810321,
        4.7352164563227435,
        4.735236481835166,
        4.7352565073475885,
        4.735276532860011,
        4.7352965583724345,
        4.735316583884857,
        4.7353366093972795,
        4.735356158111787,
        4.73537618362421,
        4.735396209136632,
        4.735595987462943,
        4.735616012975366,
        4.735636038487789,
        4.735655587202297,
        4.7356756127147195,
        4.735695638227142,
        4.7357156637395645,
        4.735735689251987,
        4.73575571476441,
        4.735775263478917,
        4.735795288991341,
        4.735815314503763,
        4.735835340016186,
        4.735855365528608,
        4.735874914243116,
        4.735894939755538,
        4.735914965267961,
        4.735934990780383,
        4.735955016292806,
        4.735974565007314,
        4.735994590519737,
        4.7360146160321595,
        4.736034641544582,
        4.7360546670570045,
        4.736074215771512,
        4.736094241283935,
        4.736114266796357,
        4.736134292308781,
        4.736153841023288,
        4.736173866535711,
        4.736193892048133,
        4.736213917560556,
        4.736233466275063,
        4.736253491787486,
        4.736273517299909,
        4.736293542812332,
        4.736313091526839,
        4.736333117039262,
        4.7363531425516845,
        4.736372691266192,
        4.736392716778615,
        4.736412742291037,
        4.736432767803461,
        4.736452316517968,
        4.736472342030391,
        4.736492367542813,
        4.736511916257321,
        4.736531941769743,
        4.736551967282166,
        4.736571515996674,
        4.736591541509097,
        4.736611567021519,
        4.736631115736027,
        4.7366511412484495,
        4.736671166760872,
        4.73669071547538,
        4.736710740987803,
        4.736730766500226,
        4.736750315214733,
        4.736770340727156,
        4.736790366239578,
        4.736809914954086,
        4.736829940466508,
        4.736849965978931,
        4.736869514693439,
        4.736889540205862,
        4.7369095657182845,
        4.736929114432792,
        4.736949139945215,
        4.736968688659722,
        4.736988714172145,
        4.737008739684568,
        4.737028288399076,
        4.737048313911498,
        4.737067862626006,
        4.737087888138428,
        4.737107913650851,
        4.737127462365359,
        4.737147487877782,
        4.7371670365922895,
        4.737187062104712,
        4.737207087617135,
        4.737226636331642,
        4.737246661844065,
        4.737266210558573,
        4.737286236070996,
        4.737305784785503,
        4.737325810297926,
        4.7373453590124335,
        4.737365384524856,
        4.7373854100372785,
        4.737404958751787,
        4.7374249842642095,
        4.737444532978717,
        4.73746455849114,
        4.737484107205647,
        4.73750413271807,
        4.737523681432578,
        4.737543706945001,
        4.737563255659508,
        4.737583281171931,
        4.7376028298864385,
        4.737622855398861,
        4.73764240411337,
        4.737662429625792,
        4.7376819783403,
        4.737702003852722,
        4.73772155256723,
        4.737741578079652,
        4.73776112679416,
        4.737781152306583,
        4.737800701021091,
        4.7378207265335135,
        4.737840275248021,
        4.737860300760444,
        4.737879849474951,
        4.73789939818946,
        4.737919423701882,
        4.73793897241639,
        4.737958997928812,
        4.73797854664332,
        4.7379985721557425,
        4.738018120870251,
        4.7380381463826735,
        4.738057695097181,
        4.738077243811689,
        4.738097269324111,
        4.738116818038619,
        4.738136843551042,
        4.73815639226555,
        4.7381759409800575,
        4.73819596649248,
        4.738215515206988,
        4.73823554071941,
        4.738255089433919,
        4.738274638148426,
        4.738294663660849,
        4.738314212375356,
        4.738334237887779,
        4.7383537866022865,
        4.738373335316795,
        4.7383933608292175,
        4.738412909543725,
        4.738432458258233,
        4.738452483770655,
        4.738472032485164,
        4.738492057997586,
        4.738511606712094,
        4.738531155426601,
        4.738551180939024,
        4.7385707296535315,
        4.73859027836804,
        4.738610303880463,
        4.73862985259497,
        4.738649401309478,
        4.7386694268219,
        4.738688975536408,
        4.738708524250916,
        4.738728549763339,
        4.7387480984778465,
        4.738767647192354,
        4.738787195906862,
        4.738807221419284,
        4.738826770133793,
        4.7388463188483,
        4.738866344360723,
        4.7388858930752304,
        4.738905441789738,
        4.7389249905042465,
        4.738945016016669,
        4.738964564731177,
        4.738984113445684,
        4.739004138958107,
        4.739023687672615,
        4.739043236387123,
        4.7390627851016305,
        4.739082810614053,
        4.739102359328561,
        4.739121908043068,
        4.739141456757577,
        4.739161482269999,
        4.739181030984507,
        4.739200579699014,
        4.739220128413522,
        4.7392396771280305,
        4.739259702640453,
        4.739279251354961,
        4.739298800069468,
        4.739318348783976,
        4.739338374296399,
        4.739357923010907,
        4.7393774717254145,
        4.739397020439922,
        4.73941656915443,
        4.739436594666852,
        4.739456143381361,
        4.739475692095868,
        4.739495240810376,
        4.7395147895248835,
        4.739534338239392,
        4.7395543637518145,
        4.739573912466322,
        4.73959346118083,
        4.739613009895337,
        4.739632558609846,
        4.739652107324353,
        4.739672132836776,
        4.7396916815512835,
        4.739711230265791,
        4.739730778980299,
        4.739750327694807,
        4.739769876409315,
        4.739789425123822,
        4.739809450636245,
        4.7398289993507525,
        4.739848548065261,
        4.739868096779769,
        4.739887645494276,
        4.739907194208784,
        4.739926742923292,
        4.7399462916378,
        4.7399658403523075,
        4.73998586586473,
        4.740005414579238,
        4.740024963293745,
        4.740044512008254,
        4.740064060722761,
        4.740083609437269,
        4.7401031581517765,
        4.740122706866285,
        4.740142255580793,
        4.7401618042953,
        4.740181353009808,
        4.740200901724315,
        4.740220450438824,
        4.7402399991533315,
        4.740260024665754,
        4.740279573380262,
        4.740299122094769,
        4.740318670809278,
        4.740338219523785,
        4.740357768238293,
        4.7403773169528005,
        4.740396865667308,
        4.740416414381817,
        4.740435963096324,
        4.740455511810832,
        4.740475060525339,
        4.740494609239848,
        4.7405141579543555,
        4.740533706668863,
        4.740553255383371,
        4.740572804097878,
        4.740592352812387,
        4.740611901526894,
        4.740631450241402,
        4.74065099895591,
        4.740670547670418,
        4.740690096384926,
        4.740709645099433,
        4.740729193813941,
        4.7407487425284485,
        4.740768291242957,
        4.7407878399574646,
        4.740807388671972,
        4.74082693738648,
        4.740846486100987,
        4.740865558017581,
        4.7408851067320885,
        4.740904655446596,
        4.740924204161104,
        4.740943752875612,
        4.74096330159012,
        4.740982850304627,
        4.741002399019135,
        4.7410219477336435,
        4.741041496448151,
        4.741061045162659,
        4.741080593877166,
        4.741100142591674,
        4.7411192145082675,
        4.741138763222775,
        4.741158311937283,
        4.74117786065179,
        4.741197409366299,
        4.741216958080806,
        4.741236506795314,
        4.7412560555098215,
        4.741275604224329,
        4.741294676140923,
        4.74131422485543,
        4.741333773569938,
        4.7413533222844455,
        4.741372870998954,
        4.741392419713462,
        4.741411968427969,
        4.741431040344562,
        4.74145058905907,
        4.741470137773578,
        4.7414896864880856,
        4.741509235202593,
        4.741528783917101,
        4.741547855833694,
        4.741567404548202,
        4.7415869532627095,
        4.741606501977217,
        4.741626050691726,
        4.741645599406233,
        4.741664671322826,
        4.7416842200373335,
        4.741703768751842,
        4.74172331746635,
        4.741742866180857,
        4.74176193809745,
        4.741781486811958,
        4.741801035526466,
        4.7418205842409735,
        4.741840132955481,
        4.741859204872075,
        4.741878753586582,
        4.74189830230109,
        4.7419178510155975,
        4.741936922932191,
        4.741956471646699,
        4.741976020361206,
        4.741995569075714,
        4.742014640992307,
        4.742034189706815,
        4.742053738421323,
        4.74207328713583,
        4.742092359052424,
        4.742111907766931,
        4.742131456481439,
        4.742151005195947,
        4.74217007711254,
        4.742189625827048,
        4.742209174541555,
        4.742228246458148,
        4.7422477951726565,
        4.742267343887164,
        4.742286892601672,
        4.742305964518264,
        4.742325513232773,
        4.7423450619472804,
        4.742364133863873,
        4.742383682578381,
        4.742403231292888,
        4.742422303209482,
        4.7424418519239895,
        4.742461400638497,
        4.742480472555091,
        4.742500021269598,
        4.742519569984106,
        4.7425386419006985,
        4.742558190615207,
        4.742577739329715,
        4.742596811246307,
        4.742616359960815,
        4.742635908675323,
        4.742654980591916,
        4.742674529306424,
        4.742694078020931,
        4.742713149937525,
        4.742732698652032,
        4.74275224736654,
        4.742771319283133,
        4.742790867997641,
        4.742809939914234,
        4.742829488628741,
        4.742849037343249,
        4.742868109259843,
        4.74288765797435,
        4.742906729890943,
        4.7429262786054505,
        4.742945827319959,
        4.742964899236552,
        4.742984447951059,
        4.743003519867653,
        4.74302306858216,
        4.743042617296668,
        4.743061689213261,
        4.743081237927769,
        4.743100309844362,
        4.743119858558869,
        4.743138930475462,
        4.743158479189971,
        4.743177551106563,
        4.743197099821071,
        4.7432166485355785,
        4.743235720452172,
        4.74325526916668,
        4.743274341083272,
        4.743293889797781,
        4.743312961714373,
        4.743332510428881,
        4.743351582345474,
        4.743371131059982,
        4.743390202976575,
        4.7434097516910825,
        4.743428823607676,
        4.743448372322184,
        4.743467444238776,
        4.743486992953284,
        4.7435060648698775,
        4.743525613584385,
        4.743544685500978,
        4.743564234215485,
        4.743583306132079,
        4.7436028548465865,
        4.743621926763179,
        4.743641475477687,
        4.74366054739428,
        4.743680096108788,
        4.743699168025381,
        4.743718716739889,
        4.743737788656482,
        4.743757337370989,
        4.743776409287582,
        4.743795481204176,
        4.743815029918683,
        4.743834101835276,
        4.743853650549784,
        4.743872722466377,
        4.743892271180885,
        4.743911343097477,
        4.743930891811986,
        4.7439499637285785,
        4.743969035645171,
        4.74398858435968,
        4.744007656276272,
        4.74402720499078,
        4.744046276907373,
        4.744065348823966,
        4.744084897538474,
        4.744103969455066,
        4.744123518169575,
        4.744142590086168,
        4.74416166200276,
        4.744181210717268,
        4.744200282633861,
        4.744219831348369,
        4.744238903264962,
        4.744257975181555,
        4.744277523896063,
        4.7442965958126555,
        4.744315667729248,
        4.744335216443757,
        4.744354288360349,
        4.744373360276942,
        4.7443929089914505,
        4.744411980908043,
        4.744431052824636,
        4.744450601539143,
        4.744469673455737,
        4.74448874537233,
        4.744508294086837,
        4.744527366003431,
        4.7445464379200235,
        4.744565986634531,
        4.744585058551125,
        4.744604130467717,
        4.744623679182225,
        4.744834900658492,
        4.744853972575085,
        4.744873044491678,
        4.744892593206186,
        4.744911665122779,
        4.744930737039372,
        4.7449498089559645,
        4.744969357670473,
        4.744988429587066,
        4.745007501503658,
        4.745026573420252,
        4.7450461221347595,
        4.745065194051352,
        4.745084265967945,
        4.745103337884538,
        4.745122886599046,
        4.745141958515639,
        4.745161030432232,
        4.745180102348825,
        4.745199174265418,
        4.745218722979926,
        4.745237794896519,
        4.745256866813111,
        4.745275938729705,
        4.745295010646298,
        4.745314559360805,
        4.745333631277398,
        4.7453527031939915,
        4.745371775110584,
        4.745390847027177,
        4.745410395741685,
        4.745429467658278,
        4.745448539574871,
        4.745467611491464,
        4.745486683408057,
        4.74550575532465,
        4.745525304039157,
        4.745544375955751,
        4.745563447872343,
        4.745582519788936,
        4.74560159170553,
        4.745620663622122,
        4.745639735538715,
        4.7456592842532235,
        4.745678356169816,
        4.745697428086409,
        4.745716500003002,
        4.745735571919595,
        4.745754643836188,
        4.745773715752781,
        4.745792787669374,
        4.745811859585967,
        4.745831408300475,
        4.745850480217068,
        4.7458695521336605,
        4.745888624050254,
        4.745907695966847,
        4.745926767883439,
        4.745945839800033,
        4.745964911716626,
        4.745983983633218,
        4.746003055549812,
        4.7460221274664045,
        4.746041676180912,
        4.746060748097505,
        4.746079820014098,
        4.746098891930691,
        4.746117963847284,
        4.746137035763877,
        4.74615610768047,
        4.746175179597063,
        4.746194251513656,
        4.746213323430249,
        4.7462323953468415,
        4.746251467263435,
        4.746270539180028,
        4.74628961109662,
        4.746308683013214,
        4.746327754929807,
        4.746346826846399,
        4.746365898762993,
        4.7463849706795855,
        4.746404042596178,
        4.746423114512772,
        4.746442186429364,
        4.746461258345957,
        4.746480330262551,
        4.746499402179143,
        4.746518474095736,
        4.74653754601233,
        4.746556617928922,
        4.746575689845515,
        4.7465947617621085,
        4.746613833678701,
        4.746632905595294,
        4.746651977511887,
        4.74667104942848,
        4.746690121345073,
        4.746709193261666,
        4.746728265178259,
        4.746747337094852,
        4.746766409011445,
        4.746785480928038,
        4.7468045528446305,
        4.746823624761224,
        4.746842696677817,
        4.746861291796495,
        4.746880363713088,
        4.746899435629681,
        4.746918507546274,
        4.746937579462867,
        4.74695665137946,
        4.746975723296053,
        4.746994795212646,
        4.747013867129239,
        4.747032939045832,
        4.747052010962425,
        4.7470706060811025,
        4.747089677997696,
        4.747108749914289,
        4.7471278218308814,
        4.747146893747475,
        4.747165965664068,
        4.74718503758066,
        4.747204109497254,
        4.747223181413847,
        4.747241776532524,
        4.747260848449118,
        4.747279920365711,
        4.747298992282303,
        4.747318064198897,
        4.7473371361154895,
        4.747356208032082,
        4.747374803150761,
        4.747393875067353,
        4.747412946983947,
        4.74743201890054,
        4.747451090817132,
        4.747470162733726,
        4.747488757852404,
        4.747507829768996,
        4.74752690168559,
        4.747545973602183,
        4.747565045518775,
        4.747583640637454,
        4.7476027125540465,
        4.747621784470639,
        4.747640856387233,
        4.747659928303825,
        4.747678523422504,
        4.747697595339097,
        4.747716667255689,
        4.747735739172283,
        4.747754811088876,
        4.747773406207553,
        4.747792478124147,
        4.74781155004074,
        4.747830621957332,
        4.747849217076011,
        4.747868288992604,
        4.747887360909196,
        4.74790643282579,
        4.7479255047423825,
        4.747944099861061,
        4.747963171777654,
        4.7479822436942465,
        4.74800131561084,
        4.748019910729518,
        4.7480389826461105,
        4.748058054562704,
        4.748076649681382,
        4.748095721597974,
        4.748114793514568,
        4.748133865431161,
        4.748152460549839,
        4.748171532466432,
        4.748190604383025,
        4.748209199501703,
        4.748228271418296,
        4.748247343334889,
        4.748266415251482,
        4.74828501037016,
        4.748304082286753,
        4.748323154203346,
        4.748341749322024,
        4.7483608212386175,
        4.74837989315521,
        4.748398488273888,
        4.7484175601904814,
        4.748436632107074,
        4.748455227225752,
        4.748474299142345,
        4.748493371058938,
        4.748511966177617,
        4.748531038094209,
        4.748550110010802,
        4.748568705129481,
        4.748587777046073,
        4.748606848962666,
        4.748625444081345,
        4.748644515997937,
        4.748663111116616,
        4.748682183033209,
        4.748701254949801,
        4.74871985006848,
        4.748738921985073,
        4.748757993901665,
        4.748776589020344,
        4.748795660936937,
        4.748814256055615,
        4.748833327972208,
        4.748852399888801,
        4.748870995007479,
        4.748890066924072,
        4.7489086620427505,
        4.748927733959343,
        4.748946329078021,
        4.7489654009946145,
        4.748984472911207,
        4.749003068029885,
        4.7490221399464785,
        4.749040735065156,
        4.74905980698175,
        4.7490784021004275,
        4.74909747401702,
        4.749116545933614,
        4.7491351410522915,
        4.749154212968884,
        4.749172808087563,
        4.7491918800041555,
        4.749210475122834,
        4.749229547039427,
        4.7492481421581045,
        4.749267214074698,
        4.749285809193376,
        4.749304881109969,
        4.749323476228647,
        4.74934254814524,
        4.7493611432639184,
        4.749380215180511,
        4.74939881029919,
        4.749417882215782,
        4.749436954132375,
        4.749455549251054,
        4.7494741443697315,
        4.749493216286324,
        4.749511811405003,
        4.7495308833215955,
        4.749549478440274,
        4.749568550356867,
        4.7495871454755445,
        4.749606217392138,
        4.749624812510816,
        4.749643884427409,
        4.749662479546087,
        4.74968155146268,
        4.749700146581358,
        4.749719218497951,
        4.74973781361663,
        4.749756885533222,
        4.7497754806519,
        4.749794075770579,
        4.749813147687171,
        4.74983174280585,
        4.749850814722443,
        4.7498694098411205,
        4.749888481757714,
        4.749907076876392,
        4.74992567199507,
        4.749944743911663,
        4.749963339030341,
        4.749982410946934,
        4.750001006065612,
        4.750019601184291,
        4.7500386731008835,
        4.750057268219561,
        4.750076340136155,
        4.7500949352548325,
        4.750113530373511,
        4.750132602290104,
        4.750151197408782,
        4.750170269325375,
        4.750188864444053,
        4.7502074595627315,
        4.750226531479324,
        4.750245126598002,
        4.7502637217166805,
        4.750282793633273,
        4.750301388751952,
        4.75031998387063,
        4.750339055787222,
        4.750357650905901,
        4.750376722822494,
        4.750395317941172,
        4.75041391305985,
        4.7504329849764435,
        4.750451580095121,
        4.750470175213799,
        4.750489247130393,
        4.75050784224907,
        4.750526437367749,
        4.750545032486427,
        4.750564104403019,
        4.750582699521698,
        4.750601294640376,
        4.750620366556969,
        4.750638961675647,
        4.750657556794326,
        4.750676628710918,
        4.750695223829596,
        4.750713818948275,
        4.7507324140669525,
        4.750751485983546,
        4.750770081102224,
        4.7507886762209015,
        4.750807748137495,
        4.750826343256173,
        4.7508449383748514,
        4.750863533493529,
        4.750882605410122,
        4.7509012005288005,
        4.750919795647478,
        4.750938390766157,
        4.7509574626827495,
        4.750976057801428,
        4.750994652920106,
        4.7510132480387846,
        4.751032319955377,
        4.751050915074055,
        4.751069510192734,
        4.751088105311411,
        4.75110670043009,
        4.751125772346683,
        4.75114436746536,
        4.751162962584039,
        4.751181557702717,
        4.75120062961931,
        4.751219224737988,
        4.751237819856667,
        4.7512564149753445,
        4.751275010094022,
        4.751294082010616,
        4.7513126771292935,
        4.751331272247972,
        4.75134986736665,
        4.7513684624853285,
        4.751387057604006,
        4.751406129520599,
        4.751424724639278,
        4.751443319757955,
        4.751461914876634,
        4.751480509995312,
        4.75149910511399,
        4.751518177030583,
        4.751536772149261,
        4.751555367267939,
        4.751573962386617,
        4.751592557505296,
        4.7516111526239735,
        4.751629747742652,
        4.751648819659245,
        4.7516674147779225,
        4.751686009896601,
        4.751704605015279,
        4.7517232001339575,
        4.751741795252635,
        4.751760390371314,
        4.751778985489992,
        4.751798057406584,
        4.751816652525263,
        4.751835247643941,
        4.751853842762619,
        4.751872437881297,
        4.751891032999976,
        4.7519096281186535,
        4.751928223237332,
        4.75194681835601,
        4.751965413474688,
        4.751984008593366,
        4.752003080509959,
        4.7520216756286375,
        4.752040270747315,
        4.752058865865994,
        4.752077460984672,
        4.75209605610335,
        4.752114651222028,
        4.752133246340706,
        4.752151841459384,
        4.752170436578062,
        4.752189031696741,
        4.7522076268154185,
        4.752226221934097,
        4.752244817052775,
        4.7522634121714535,
        4.752282007290131,
        4.752300602408809,
        4.752319197527488,
        4.752337792646165,
        4.752356387764844,
        4.752374982883522,
        4.7523935780022,
        4.752412173120878,
        4.752430768239557,
        4.7524493633582345,
        4.752467958476913,
        4.752486553595591,
        4.752505148714269,
        4.752523743832947,
        4.752542338951625,
        4.752560934070304,
        4.752579529188981,
        4.75259812430766,
        4.752616719426338,
        4.752635314545016,
        4.752653909663694,
        4.752672504782372,
        4.7526910999010505,
        4.752709695019728,
        4.752728290138407,
        4.752746885257085,
        4.752765480375763,
        4.752784075494441,
        4.75280267061312,
        4.752821265731797,
        4.752839860850476,
        4.752858455969154,
        4.7528770510878315,
        4.752895169408595,
        4.752913764527273,
        4.752932359645952,
        4.752950954764629,
        4.752969549883308,
        4.752988145001986,
        4.753006740120664,
        4.753025335239342,
        4.753043930358021,
        4.7530625254766985,
        4.753081120595376,
        4.75309923891614,
        4.753117834034818,
        4.753136429153496,
        4.753155024272174,
        4.753173619390853,
        4.7531922145095304,
        4.753210809628209,
        4.753229404746887,
        4.7532475230676505,
        4.753266118186328,
        4.753284713305007,
        4.753303308423685,
        4.753321903542363,
        4.753340498661041,
        4.753359093779719,
        4.7533772121004825,
        4.75339580721916,
        4.753414402337839,
        4.753432997456517,
        4.753451592575195,
        4.753470187693873,
        4.753488306014637,
        4.753506901133314,
        4.753525496251993,
        4.753544091370671,
        4.753562686489349,
        4.753581281608027,
        4.753599399928791,
        4.753617995047469,
        4.753636590166147,
        4.753655185284825,
        4.753673780403503,
        4.7536918987242665,
        4.753710493842944,
        4.753729088961623,
        4.753747684080301,
        4.753766279198979,
        4.753784397519742,
        4.753802992638421,
        4.753821587757098,
        4.753840182875777,
        4.75385830119654,
        4.7538768963152185,
        4.753895491433896,
        4.753914086552575,
        4.753932204873338,
        4.753950799992016,
        4.753969395110694,
        4.753987990229373,
        4.7540061085501355,
        4.754024703668814,
        4.754227819580529,
        4.754246414699207,
        4.754265009817885,
        4.754283128138648,
        4.754301723257327,
        4.7543203183760046,
        4.754338436696768,
        4.754357031815446,
        4.754375626934125,
        4.7543937452548874,
        4.754412340373566,
        4.754430935492244,
        4.7544490538130075,
        4.754467648931685,
        4.754486244050364,
        4.754504362371127,
        4.754522957489805,
        4.754541552608483,
        4.754559670929247,
        4.7545782660479246,
        4.754596861166603,
        4.754614979487366,
        4.754633574606045,
        4.754652169724722,
        4.754670288045486,
        4.754688883164164,
        4.7547070014849275,
        4.754725596603605,
        4.754744191722283,
        4.754762310043047,
        4.754780905161725,
        4.754799500280403,
        4.754817618601167,
        4.7548362137198446,
        4.754854332040608,
        4.754872927159286,
        4.754891522277964,
        4.7549096405987274,
        4.754928235717405,
        4.754946354038169,
        4.754964949156847,
        4.754983544275525,
        4.755001662596288,
        4.755020257714967,
        4.75503837603573,
        4.755056971154408,
        4.755075089475172,
        4.75509368459385,
        4.755112279712527,
        4.755130398033291,
        4.755148993151969,
        4.7551671114727325,
        4.75518570659141,
        4.755203824912174,
        4.755222420030852,
        4.755240538351615,
        4.755259133470293,
        4.755277251791057,
        4.755295846909735,
        4.755313965230498,
        4.755332560349177,
        4.755351155467855,
        4.755369273788618,
        4.755387868907296,
        4.75540598722806,
        4.755424582346738,
        4.755442700667501,
        4.755461295786179,
        4.755479414106943,
        4.7554980092256205,
        4.755516127546384,
        4.755534722665062,
        4.755552840985826,
        4.755571436104503,
        4.755589554425267,
        4.755608149543945,
        4.7556262678647085,
        4.755644862983386,
        4.75566298130415,
        4.755681099624913,
        4.755699694743591,
        4.755717813064354,
        4.755736408183033,
        4.755754526503796,
        4.755773121622474,
        4.755791239943237,
        4.755809835061916,
        4.755827953382679,
        4.755846548501357,
        4.75586466682212,
        4.755882785142884,
        4.7559013802615615,
        4.755919498582325,
        4.755938093701003,
        4.755956212021767,
        4.755974807140444,
        4.755992925461208,
        4.756011043781971,
        4.75602963890065,
        4.756047757221412,
        4.756066352340091,
        4.756084470660855,
        4.7561025889816175,
        4.756121184100296,
        4.756139302421059,
        4.756157897539738,
        4.7561760158605,
        4.756194134181264,
        4.756212729299942,
        4.756230847620706,
        4.756248965941468,
        4.756267561060147,
        4.75628567938091,
        4.7563042744995885,
        4.756322392820351,
        4.756340511141115,
        4.756359106259793,
        4.7563772245805565,
        4.756395342901319,
        4.756413938019998,
        4.756432056340761,
        4.756450174661524,
        4.756468769780202,
        4.756486888100966,
        4.75650500642173,
        4.756523601540407,
        4.756541719861171,
        4.756559838181934,
        4.7565784333006125,
        4.756596551621375,
        4.756614669942139,
        4.756633265060817,
        4.7566513833815804,
        4.756669501702343,
        4.756688096821022,
        4.756706215141785,
        4.756724333462548,
        4.756742928581226,
        4.75676104690199,
        4.756779165222754,
        4.756797283543516,
        4.756815878662195,
        4.756833996982958,
        4.7568521153037215,
        4.756870710422399,
        4.756888828743163,
        4.756906947063926,
        4.7569250653846895,
        4.756943660503367,
        4.756961778824131,
        4.756979897144894,
        4.7569980154656575,
        4.757016610584335,
        4.757034728905099,
        4.757052847225863,
        4.7570709655466255,
        4.757089560665304,
        4.757107678986067,
        4.757125797306831,
        4.757143915627593,
        4.757162510746272,
        4.757180629067035,
        4.757198747387799,
        4.757216865708561,
        4.757234984029325,
        4.757253579148003,
        4.7572716974687665,
        4.75728981578953,
        4.757307934110293,
        4.757326052431057,
        4.7573446475497345,
        4.757362765870498,
        4.757380884191261,
        4.757399002512025,
        4.757417120832788,
        4.757435715951466,
        4.757453834272229,
        4.757471952592993,
        4.757490070913756,
        4.757508189234519,
        4.757526307555283,
        4.757544902673961,
        4.757563020994724,
        4.757581139315487,
        4.757599257636251,
        4.757617375957014,
        4.757635494277777,
        4.757654089396455,
        4.757672207717219,
        4.757690326037983,
        4.757708444358745,
        4.757726562679509,
        4.757744681000272,
        4.757762799321036,
        4.7577809176417984,
        4.757799512760477,
        4.75781763108124,
        4.757835749402004,
        4.757853867722767,
        4.75787198604353,
        4.757890104364294,
        4.757908222685057,
        4.75792634100582,
        4.757944459326583,
        4.757963054445262,
        4.757981172766025,
        4.757999291086788,
        4.758017409407551,
        4.758035527728315,
        4.7580536460490785,
        4.758071764369841,
        4.758089882690605,
        4.758108001011368,
        4.758126119332132,
        4.758144237652894,
        4.758162355973658,
        4.758180951092336,
        4.7581990694131,
        4.758217187733863,
        4.758235306054626,
        4.75825342437539,
        4.758271542696153,
        4.758289661016916,
        4.758307779337679,
        4.758325897658443,
        4.7583440159792065,
        4.758362134299969,
        4.758380252620733,
        4.758398370941496,
        4.75841648926226,
        4.758434607583022,
        4.758452725903786,
        4.75847084422455,
        4.758488962545313,
        4.758507080866076,
        4.758525199186839,
        4.758543317507603,
        4.758561435828366,
        4.758579554149129,
        4.758597672469892,
        4.758615790790656,
        4.75863390911142,
        4.758652027432182,
        4.758670145752946,
        4.758688264073709,
        4.758706382394473,
        4.7587245007152355,
        4.758742619035999,
        4.758760737356763,
        4.758778855677526,
        4.758796973998289,
        4.758815092319052,
        4.758833210639816,
        4.758851328960579,
        4.758869447281342,
        4.758887565602106,
        4.758905683922869,
        4.758923802243633,
        4.7589414437664805,
        4.758959562087244,
        4.758977680408008,
        4.758995798728771,
        4.7590139170495345,
        4.759032035370297,
        4.759050153691061,
        4.759068272011824,
        4.7590863903325875,
        4.75910450865335,
        4.759122626974114,
        4.759140745294878,
        4.7591588636156406,
        4.759176505138489,
        4.759194623459252,
        4.759212741780016,
        4.75923086010078,
        4.759248978421542,
        4.759267096742306,
        4.759285215063069,
        4.759303333383833,
        4.759321451704595,
        4.759339093227444,
        4.759357211548208,
        4.759375329868971,
        4.759393448189734,
        4.759411566510497,
        4.759429684831261,
        4.759447803152024,
        4.7594654446748725,
        4.759483562995636,
        4.759501681316399,
        4.759519799637163,
        4.759537917957926,
        4.759556036278689,
        4.759574154599453,
        4.759591796122301,
        4.759609914443065,
        4.759628032763827,
        4.759646151084591,
        4.759664269405354,
        4.759681910928203,
        4.759700029248966,
        4.759718147569729,
        4.759736265890493,
        4.759754384211256,
        4.7597725025320194,
        4.759790144054868,
        4.759808262375631,
        4.759826380696395,
        4.759844499017158,
        4.759862617337921,
        4.75988025886077,
        4.759898377181533,
        4.759916495502297,
        4.759934613823059,
        4.759952255345908,
        4.759970373666672,
        4.759988491987435,
        4.760006610308198,
        4.760024728628961,
        4.76004237015181,
        4.760060488472574,
        4.7600786067933365,
        4.7600967251141,
        4.760114366636948,
        4.760132484957712,
        4.760150603278475,
        4.760168721599238,
        4.760186363122087,
        4.76020448144285,
        4.760222599763614,
        4.760240241286462,
        4.760258359607225,
        4.760276477927989,
        4.760294596248752,
        4.7603122377716005,
        4.760330356092363,
        4.760348474413127,
        4.760366115935976,
        4.760384234256739,
        4.760402352577502,
        4.760635983555766,
        4.760653625078614,
        4.760671743399378,
        4.760689861720142,
        4.7607075032429895,
        4.760725621563753,
        4.760743739884516,
        4.760761381407365,
        4.7607794997281285,
        4.760797618048891,
        4.76081525957174,
        4.760833377892503,
        4.760851496213267,
        4.760869137736115,
        4.760887256056878,
        4.760904897579727,
        4.76092301590049,
        4.7609411342212535,
        4.760958775744102,
        4.760976894064865,
        4.760995012385629,
        4.761012653908478,
        4.76103077222924,
        4.761048413752089,
        4.761066532072852,
        4.761084650393616,
        4.7611022919164645,
        4.761120410237227,
        4.761138051760076,
        4.761156170080839,
        4.761173811603688,
        4.761191929924451,
        4.761210048245214,
        4.761227689768063,
        4.761245808088826,
        4.761263449611675,
        4.761281567932438,
        4.761299209455286,
        4.76131732777605,
        4.761335446096814,
        4.7613530876196615,
        4.761371205940425,
        4.761388847463273,
        4.761406965784037,
        4.7614246073068855,
        4.761442725627648,
        4.761460367150497,
        4.761478485471261,
        4.761496126994109,
        4.761514245314872,
        4.76153188683772,
        4.761550005158484,
        4.761567646681333,
        4.761585765002096,
        4.761603883322859,
        4.761621524845708,
        4.761639643166471,
        4.76165728468932,
        4.7616754030100825,
        4.761693044532931,
        4.761711162853695,
        4.761728804376543,
        4.761746445899392,
        4.761764564220155,
        4.761782205743003,
        4.761800324063767,
        4.763871295806807,
        4.766120589969989,
        4.766142045876156,
        4.766163024984408,
        4.766184480890575,
        4.766205459998828,
        4.766226915904995,
        4.7662478950132465,
        4.766269350919414,
        4.766290330027666,
        4.7663117859338335,
        4.766332765042086,
        4.766354220948252,
        4.76637567685442,
        4.766396655962672,
        4.766418111868839,
        4.766439090977092,
        4.766460070085343,
        4.7664815259915105,
        4.766502505099763,
        4.76652396100593,
        4.766544940114183,
        4.766566396020349,
        4.766587375128601,
        4.766608831034769,
        4.766629810143021,
        4.766651266049188,
        4.766672245157441,
        4.766693701063607,
        4.76671468017186,
        4.766736136078027,
        4.766757115186279,
        4.766778094294532,
        4.766799550200698,
        4.7668205293089505,
        4.766841985215118,
        4.76686296432337,
        4.7668844202295375,
        4.766905399337789,
        4.766926378446041,
        4.766947834352209,
        4.766968813460461,
        4.766990269366628,
        4.767011248474881,
        4.767032227583132,
        4.7670536834893,
        4.767074662597552,
        4.767096118503719,
        4.767117097611972,
        4.767138076720224,
        4.7671595326263905,
        4.767180511734643,
        4.767201490842895,
        4.7672229467490626,
        4.767243925857315,
        4.767264904965567,
        4.767286360871734,
        4.767307339979986,
        4.7673283190882385,
        4.767349774994406,
        4.767603431485092,
        4.767624410593345,
        4.767645389701596,
        4.767666368809849,
        4.767687824716016,
        4.767708803824268,
        4.767729782932521,
        4.767750762040773,
        4.7677722179469395,
        4.767793197055192,
        4.767814176163444,
        4.767835155271697,
        4.767856611177864,
        4.767877590286116,
        4.767898569394368,
        4.76791954850262,
        4.7679410044087875,
        4.76796198351704,
        4.767982962625292,
        4.768003941733545,
        4.768025397639711,
        4.7680463767479635,
        4.768067355856216,
        4.768088334964468,
        4.768109314072721,
        4.768130769978888,
        4.7681517490871395,
        4.768172728195392,
        4.768193707303644,
        4.768214686411897,
        4.768236142318064,
        4.768257121426316,
        4.768278100534569,
        4.76829907964282,
        4.768320058751073,
        4.768341037859325,
        4.768362493765492,
        4.768383472873745,
        4.768404451981997,
        4.768425431090249,
        4.768446410198501,
        4.768467389306753,
        4.768488368415006,
        4.768509824321173,
        4.768530803429425,
        4.768551782537678,
        4.768572761645929,
        4.768593740754182,
        4.768614719862434,
        4.768635698970686,
        4.768656678078939,
        4.768677657187191,
        4.7686991130933585,
        4.76872009220161,
        4.768741071309862,
        4.768762050418115,
        4.768783029526367,
        4.7688040086346195,
        4.768824987742872,
        4.768845966851124,
        4.768866945959376,
        4.768887925067628,
        4.7689089041758805,
        4.768929883284133,
        4.768950862392385,
        4.768971841500638,
        4.768993297406805,
        4.7690142765150565,
        4.769035255623309,
        4.769056234731561,
        4.769077213839814,
        4.769098192948066,
        4.769119172056318,
        4.769140151164571,
        4.769161130272822,
        4.769182109381075,
        4.769203088489327,
        4.769224067597579,
        4.769245046705832,
        4.769266025814084,
        4.769287004922337,
        4.769307984030589,
        4.7693289631388405,
        4.769349942247093,
        4.769370921355345,
        4.769391900463598,
        4.76941287957185,
        4.769433858680102,
        4.769454837788355,
        4.769475816896606,
        4.769496796004859,
        4.769517775113111,
        4.7695382774234485,
        4.769559256531701,
        4.769580235639953,
        4.769601214748206,
        4.769622193856458,
        4.76964317296471,
        4.769664152072962,
        4.769685131181214,
        4.769706110289467,
        4.769727089397719,
        4.769748068505971,
        4.769769047614224,
        4.769790026722476,
        4.769810529032814,
        4.769831508141065,
        4.7698524872493175,
        4.76987346635757,
        4.769894445465822,
        4.769915424574075,
        4.769936403682327,
        4.7699573827905795,
        4.769978361898831,
        4.769998864209168,
        4.770019843317421,
        4.770040822425673,
        4.770061801533926,
        4.770082780642178,
        4.77010375975043,
        4.770124738858683,
        4.77014524116902,
        4.7701662202772726,
        4.770187199385524,
        4.770208178493776,
        4.770229157602029,
        4.770250136710281,
        4.770270639020619,
        4.770291618128871,
        4.770312597237123,
        4.770333576345376,
        4.770354555453627,
        4.77037553456188,
        4.770396036872217,
        4.7704170159804695,
        4.770437995088722,
        4.770458974196974,
        4.770479476507312,
        4.770500455615564,
        4.7705214347238165,
        4.770542413832068,
        4.77056339294032,
        4.770583895250658,
        4.77060487435891,
        4.770625853467163,
        4.770646832575415,
        4.7706673348857525,
        4.770688313994005,
        4.770709293102257,
        4.770730272210509,
        4.770750774520846,
        4.7707717536290986,
        4.770792732737351,
        4.770813711845603,
        4.770834214155941,
        4.770855193264193,
        4.7708761723724455,
        4.770896674682783,
        4.770917653791035,
        4.770938632899287,
        4.770959612007539,
        4.770980114317877,
        4.771001093426129,
        4.7710220725343815,
        4.771042574844719,
        4.771063553952971,
        4.771084533061224,
        4.771105035371561,
        4.7711260144798135,
        4.771146993588066,
        4.7711674958984025,
        4.771188475006655,
        4.771209454114907,
        4.771229956425245,
        4.771250935533497,
        4.7712719146417495,
        4.771292416952087,
        4.771313396060339,
        4.771334375168592,
        4.771354877478929,
        4.7713758565871816,
        4.771396358897518,
        4.7714173380057705,
        4.771438317114023,
        4.77145881942436,
        4.771479798532613,
        4.771500777640865,
        4.771521279951203,
        4.771542259059455,
        4.771562761369792,
        4.771583740478045,
        4.771604719586296,
        4.771625221896634,
        4.771646201004886,
        4.771666703315224,
        4.771687682423476,
        4.771708184733813,
        4.771729163842066,
        4.771750142950318,
        4.771770645260656,
        4.771791624368908,
        4.7718121266792455,
        4.771833105787498,
        4.771853608097835,
        4.771874587206087,
        4.771895089516424,
        4.771916068624677,
        4.771936570935014,
        4.7719575500432665,
        4.771978529151519,
        4.771999031461856,
        4.772020010570109,
        4.772040512880446,
        4.772061491988699,
        4.772081994299036,
        4.772102973407288,
        4.772123475717626,
        4.772144454825877,
        4.772164957136215,
        4.772185936244467,
        4.772206438554805,
        4.772227417663057,
        4.7722479199733945,
        4.772268899081647,
        4.772289401391984,
        4.772309903702322,
        4.772330882810574,
        4.772351385120912,
        4.772372364229164,
        4.7723928665395015,
        4.772413845647753,
        4.77243434795809,
        4.772455327066343,
        4.77247582937668,
        4.772496331687018,
        4.77251731079527,
        4.7725378131056075,
        4.77255879221386,
        4.772579294524197,
        4.77260027363245,
        4.772620775942787,
        4.772641278253125,
        4.772662257361377,
        4.7726827596717145,
        4.772703738779967,
        4.772724241090304,
        4.772744743400642,
        4.772765722508893,
        4.772786224819231,
        4.772807203927483,
        4.772827706237821,
        4.772848208548158,
        4.77286918765641,
        4.772889689966748,
        4.772910192277085,
        4.772931171385338,
        4.772951673695675,
        4.772972176006013,
        4.772993155114265,
        4.7730136574246025,
        4.773034636532855,
        4.773055138843192,
        4.77307564115353,
        4.773096620261781,
        4.773261592340311,
        4.773282094650648,
        4.773303073758901,
        4.773323576069238,
        4.7733440783795755,
        4.773364580689913,
        4.773385559798165,
        4.773406062108503,
        4.77342656441884,
        4.773447543527093,
        4.77346804583743,
        4.773488548147767,
        4.773509050458104,
        4.7735300295663565,
        4.773550531876694,
        4.773571034187031,
        4.773591536497369,
        4.773612515605621,
        4.773633017915959,
        4.773653520226296,
        4.773674022536634,
        4.773695001644886,
        4.7737155039552235,
        4.773736006265561,
        4.773756508575898,
        4.773777010886236,
        4.773797989994488,
        4.773818492304826,
        4.773838994615163,
        4.773859496925501,
        4.773879999235838,
        4.77390097834409,
        4.773921480654428,
        4.773941982964765,
        4.773962485275103,
        4.77398298758544,
        4.774003489895777,
        4.774024469004029,
        4.774044971314367,
        4.774065473624704,
        4.774085975935042,
        4.774106478245379,
        4.7741269805557165,
        4.774147959663969,
        4.774168461974306,
        4.774188964284644,
        4.774209466594981,
        4.774229968905319,
        4.774250471215656,
        4.774270973525994,
        4.774291952634246,
        4.7743124549445835,
        4.774332957254921,
        4.774353459565258,
        4.774373961875596,
        4.774394464185933,
        4.774414966496271,
        4.774435468806608,
        4.774455971116946,
        4.774476473427283,
        4.7744974525355355,
        4.774517954845873,
        4.77453845715621,
        4.774558959466548,
        4.774579461776885,
        4.774599964087223,
        4.77462046639756,
        4.774640968707897,
        4.774661471018234,
        4.774681973328572,
        4.774702475638909,
        4.774722977949247,
        4.774743480259584,
        4.7747639825699215,
        4.774784484880259,
        4.774804987190596,
        4.774825489500934,
        4.774845991811271,
        4.774866494121609,
        4.774886996431946,
        4.774907498742284,
        4.774928477850536,
        4.7749489801608735,
        4.774969482471211,
        4.7749899847815485,
        4.775010487091886,
        4.775030989402223,
        4.775051491712561,
        4.775071517224983,
        4.775092019535321,
        4.775112521845658,
        4.775133024155996,
        4.775153526466333,
        4.775174028776671,
        4.775194531087008,
        4.7752150333973455,
        4.775235535707683,
        4.7752560380180205,
        4.775276540328358,
        4.775297042638695,
        4.775317544949033,
        4.77533804725937,
        4.775358549569708,
        4.775379051880045,
        4.775399554190383,
        4.77542005650072,
        4.775440558811058,
        4.775461061121395,
        4.7754810866338175,
        4.775501588944155,
        4.7755220912544925,
        4.77554259356483,
        4.775563095875167,
        4.775583598185505,
        4.775604100495842,
        4.77562460280618,
        4.775645105116517,
        4.775665607426855,
        4.775685632939277,
        4.775706135249615,
        4.775726637559952,
        4.7757471398702895,
        4.775767642180627,
        4.7757881444909644,
        4.775808646801302,
        4.775828672313724,
        4.775849174624062,
        4.775869676934399,
        4.775890179244737,
        4.775910681555074,
        4.775931183865412,
        4.775951686175749,
        4.775971711688172,
        4.775992213998509,
        4.776012716308847,
        4.776033218619184,
        4.7760537209295215,
        4.776073746441944,
        4.7760942487522815,
        4.776114751062619,
        4.776135253372956,
        4.776155755683294,
        4.776175781195716,
        4.776196283506054,
        4.776216785816391,
        4.776237288126729,
        4.776257790437066,
        4.776277815949489,
        4.776298318259826,
        4.776318820570164,
        4.776339322880501,
        4.776359348392924,
        4.776644950343903,
        4.776664975856326,
        4.776685478166663,
        4.776705980477001,
        4.776726482787338,
        4.776746508299761,
        4.776767010610098,
        4.776787512920436,
        4.776807538432858,
        4.776828040743196,
        4.776848543053533,
        4.7768685685659555,
        4.776889070876293,
        4.7769095731866305,
        4.776929598699053,
        4.77695010100939,
        4.776970603319728,
        4.77699062883215,
        4.777011131142488,
        4.777031633452825,
        4.777051658965249,
        4.777072161275586,
        4.777092663585924,
        4.777112689098346,
        4.777133191408684,
        4.777153216921106,
        4.777173719231444,
        4.777194221541781,
        4.777214247054204,
        4.777234749364541,
        4.7772552516748785,
        4.777275277187301,
        4.7772957794976385,
        4.777315805010061,
        4.7773363073203985,
        4.777356809630736,
        4.7773768351431585,
        4.777397337453496,
        4.7774173629659185,
        4.777437865276256,
        4.777457890788678,
        4.777478393099016,
        4.777498895409353,
        4.777518920921776,
        4.777539423232113,
        4.777559448744536,
        4.777579951054873,
        4.777599976567296,
        4.777620478877633,
        4.777640504390056,
        4.777661006700393,
        4.777681509010731,
        4.777701534523154,
        4.777722036833492,
        4.777742062345914,
        4.777762564656252,
        4.777782590168674,
        4.777803092479012,
        4.777823117991434,
        4.777843620301772,
        4.777863645814194,
        4.7778841481245315,
        4.777904173636954,
        4.7779246759472915,
        4.777944701459714,
        4.7779652037700515,
        4.777985229282474,
        4.7780057315928115,
        4.778025757105234,
        4.7780462594155715,
        4.778066284927994,
        4.7780863104404165,
        4.778106812750754,
        4.7781268382631765,
        4.778147340573514,
        4.778167366085937,
        4.778187868396275,
        4.778207893908697,
        4.778228396219035,
        4.778248421731457,
        4.77826844724388,
        4.778288949554217,
        4.77830897506664,
        4.778329477376977,
        4.7783495028894,
        4.778370005199737,
        4.77839003071216,
        4.778410056224582,
        4.77843055853492,
        4.778450584047342,
        4.77847108635768,
        4.778491111870102,
        4.778511137382525,
        4.778531639692862,
        4.778551665205285,
        4.778572167515622,
        4.778592193028046,
        4.778612218540468,
        4.778632720850806,
        4.778652746363228,
        4.778672771875651,
        4.778693274185988,
        4.778713299698411,
        4.778733325210833,
        4.778753827521171,
        4.778773853033593,
        4.778794355343931,
        4.778814380856353,
        4.778834406368776,
        4.778854908679113,
        4.778874934191536,
        4.778894959703958,
        4.778914985216382,
        4.778935487526719,
        4.778955513039142,
        4.778975538551564,
        4.778996040861902,
        4.779016066374324,
        4.779036091886747,
        4.779056594197084,
        4.779076619709507,
        4.779096645221929,
        4.779117147532267,
        4.779137173044689,
        4.779157198557112,
        4.779177224069534,
        4.779197726379872,
        4.779217751892294,
        4.779237777404718,
        4.77925780291714,
        4.779278305227478,
        4.7792983307399,
        4.779318356252323,
        4.779338381764745,
        4.779358884075083,
        4.779378909587505,
        4.779398935099928,
        4.77941896061235,
        4.779439462922688,
        4.77945948843511,
        4.779479513947533,
        4.779499539459956,
        4.779520041770294,
        4.779540067282716,
        4.779560092795139,
        4.779580118307561,
        4.779600143819984,
        4.779620646130321,
        4.779640671642744,
        4.779660697155166,
        4.779680722667589,
        4.779700748180011,
        4.779720773692434,
        4.779741276002771,
        4.779761301515194,
        4.779781327027617,
        4.77980135254004,
        4.779821378052462,
        4.7798418803628,
        4.779861905875222,
        4.779881931387645,
        4.779901956900067,
        4.77992198241249,
        4.779942007924912,
        4.779962033437335,
        4.779982535747672,
        4.780002561260095,
        4.780022586772518,
        4.780042612284941,
        4.780062637797363,
        4.780082663309786,
        4.7801026888222085,
        4.780122714334631,
        4.780143216644968,
        4.780163242157391,
        4.7801832676698135,
        4.780203293182236,
        4.7802233186946586,
        4.780243344207082,
        4.7802633697195045,
        4.780283395231927,
        4.7803034207443496,
        4.780323446256772,
        4.780343471769195,
        4.780363974079532,
        4.780383999591955,
        4.780404025104377,
        4.7804240506168,
        4.780444076129222,
        4.780464101641645,
        4.780484127154068,
        4.780504152666491,
        4.780524178178913,
        4.780544203691336,
        4.780564229203758,
        4.780584254716181,
        4.780604280228603,
        4.780624305741026,
        4.780644331253448,
        4.780664356765871,
        4.780684382278294,
        4.780704407790717,
        4.780724433303139,
        4.780744458815562,
        4.780764484327984,
        4.780784509840407,
        4.7808045353528295,
        4.780824560865252,
        4.7808445863776745,
        4.780864611890097,
        4.7808846374025205,
        4.780904662914943,
        4.7809246884273655,
        4.780944713939788,
        4.780964739452211,
        4.780984764964633,
        4.781004790477056,
        4.781024815989478,
        4.781044841501901,
        4.781064867014323,
        4.781084892526747,
        4.781104918039169,
        4.781124943551592,
        4.781144969064014,
        4.781164994576437,
        4.781184543290944,
        4.781204568803367,
        4.781224594315789,
        4.781244619828212,
        4.781264645340635,
        4.781284670853058,
        4.78130469636548,
        4.781324721877903,
        4.7813447473903254,
        4.781364772902748,
        4.7813847984151705,
        4.781404823927593,
        4.781424372642101,
        4.781444398154524,
        4.781464423666947,
        4.781484449179369,
        4.781504474691792,
        4.781524500204214,
        4.781544525716637,
        4.781564551229059,
        4.781584099943567,
        4.78160412545599,
        4.781624150968413,
        4.781644176480835,
        4.781664201993258,
        4.78168422750568,
        4.781703776220188,
        4.7817238017326105,
        4.781743827245033,
        4.7817638527574555,
        4.781783878269879,
        4.7818039037823015,
        4.781823452496809,
        4.781843478009232,
        4.781863503521654,
        4.781883529034077,
        4.781903554546499,
        4.781923580058922,
        4.78194312877343,
        4.781963154285853,
        4.781983179798275,
        4.782003205310698,
        4.782022754025205,
        4.782042779537628,
        4.78206280505005,
        4.782082830562473,
        4.7821028560748955,
        4.782122404789404,
        4.7821424303018265,
        4.782162455814249,
        4.782182481326672,
        4.782202030041179,
        4.782222055553602,
        4.782242081066024,
        4.782262106578447,
        4.782281655292955,
        4.782301680805378,
        4.7823217063178,
        4.782341731830223,
        4.78236128054473,
        4.782381306057153,
        4.7824013315695755,
        4.782421357081999,
        4.7824409057965065,
        4.782460931308929,
        4.7824809568213515,
        4.782500505535859,
        4.782520531048282,
        4.782540556560704,
        4.782560105275213,
        4.782580130787635,
        4.782600156300058,
        4.78262018181248,
        4.782639730526988,
        4.78265975603941,
        4.782679781551833,
        4.7826993302663405,
        4.782719355778764,
        4.7827393812911865,
        4.782758930005694,
        4.782778955518117,
        4.782798981030539,
        4.782818529745047,
        4.782838555257469,
        4.782858103971978,
        4.782977303450683,
        4.7829973289631065,
        4.783017354475529,
        4.783036903190037,
        4.783056928702459,
        4.783076477416967,
        4.783096502929389,
        4.783116528441812,
        4.78313607715632,
        4.783156102668743,
        4.78317565138325,
        4.783195676895673,
        4.7832152256101805,
        4.783235251122603,
        4.783255276635026,
        4.783274825349534,
        4.783294850861957,
        4.783314399576464,
        4.783334425088887,
        4.783353973803394,
        4.783373999315817,
        4.783394024828239,
        4.783413573542748,
        4.78343359905517,
        4.783453147769678,
        4.7834731732821005,
        4.783492721996608,
        4.783512747509031,
        4.783532296223539,
        4.783552321735962,
        4.783571870450469,
        4.783591895962892,
        4.783611444677399,
        4.783631470189822,
        4.78365101890433,
        4.784461098561616,
        4.784481124074039,
        4.784500672788547,
        4.78452069830097,
        4.784540247015477,
        4.784559795729985,
        4.784579821242407,
        4.784599369956916,
        4.784618918671423,
        4.784638944183846,
        4.7846584928983535,
        4.784678041612861,
        4.784698067125284,
        4.784717615839792,
        4.7847371645543,
        4.784757190066722,
        4.78477673878123,
        4.7849736563200524,
        4.78499320503456,
        4.785012753749068,
        4.78503277926149,
        4.785052327975999,
        4.785071876690506,
        4.785091425405014,
        4.785111450917436,
        4.785130999631944,
        4.7851505483464525,
        4.785170573858875,
        4.785190122573383,
        4.78520967128789,
        4.785229220002398,
        4.785248768716906,
        4.785268794229329,
        4.785288342943836,
        4.785307891658344,
        4.785327440372852,
        4.785347465885274,
        4.785367014599783,
        4.78538656331429,
        4.785406112028798,
        4.785425660743305,
        4.785445686255728,
        4.7854652349702365,
        4.785484783684744,
        4.785504332399252,
        4.785523881113759,
        4.785543906626182,
        4.78556345534069,
        4.785583004055198,
        4.7856025527697055,
        4.785622101484213,
        4.785641650198721,
        4.785661675711144,
        4.785681224425652,
        4.785700773140159,
        4.785720321854667,
        4.7857398705691745,
        4.785759419283683,
        4.7857794447961055,
        4.785798993510613,
        4.785818542225121,
        4.785838090939628,
        4.785857639654137,
        4.785877188368644,
        4.785896737083152,
        4.7859167625955745,
        4.785936311310082,
        4.785955860024591,
        4.785975408739098,
        4.785994957453606,
        4.786014506168113,
        4.786034054882621,
        4.7860536035971295,
        4.786073152311637,
        4.786092701026145,
        4.786112726538567,
        4.786132275253075,
        4.786151823967583,
        4.786171372682091,
        4.7861909213965985,
        4.786210470111106,
        4.786230018825614,
        4.786249567540122,
        4.78626911625463,
        4.786288664969137,
        4.786308213683645,
        4.7863277623981535,
        4.786347311112661,
        4.786366859827169,
        4.786386408541676,
        4.786406434054099,
        4.786425982768607,
        4.786445531483115,
        4.7864650801976225,
        4.78648462891213,
        4.786504177626638,
        4.786523726341146,
        4.786543275055654,
        4.786562823770161,
        4.786582372484669,
        4.786601921199177,
        4.786621469913685,
        4.786641018628193,
        4.7866605673427,
        4.786680116057208,
        4.786699664771716,
        4.786719213486224,
        4.786738762200732,
        4.786758310915239,
        4.786777859629747,
        4.786797408344255,
        4.786816957058763,
        4.7868365057732705,
        4.786855577689863,
        4.786875126404372,
        4.786894675118879,
        4.786914223833387,
        4.786933772547894,
        4.786953321262402,
        4.7869728699769105,
        4.786992418691418,
        4.787011967405926,
        4.787031516120433,
        4.787051064834942,
        4.787070613549449,
        4.787090162263957,
        4.787109710978465,
        4.787129259692972,
        4.787148808407481,
        4.787167880324073,
        4.787187429038581,
        4.787206977753089,
        4.787226526467597,
        4.787246075182105,
        4.787265623896612,
        4.78728517261112,
        4.7873047213256275,
        4.787324270040136,
        4.7873438187546435,
        4.787362890671236,
        4.787382439385744,
        4.787401988100252,
        4.78742153681476,
        4.7874410855292675,
        4.787460634243775,
        4.787480182958284,
        4.787499254874876,
        4.787518803589384,
        4.7875383523038915,
        4.7875579010184,
        4.7875774497329076,
        4.787596998447415,
        4.787616070364008,
        4.787635619078516,
        4.787655167793024,
        4.7876747165075315,
        4.787694265222039,
        4.787713813936547,
        4.78773288585314,
        4.787752434567648,
        4.7877719832821555,
        4.787791531996663,
        4.787811080711172,
        4.787830152627764,
        4.787849701342272,
        4.787869250056779,
        4.787888798771288,
        4.7879083474857955,
        4.787927419402388,
        4.787946968116896,
        4.787966516831404,
        4.787986065545912,
        4.788005137462505,
        4.788024686177012,
        4.788044234891521,
        4.788063783606028,
        4.788083332320536,
        4.7881024042371285,
        4.788121952951637,
        4.788141501666145,
        4.788161050380652,
        4.788180122297245,
        4.7881996710117525,
        4.788219219726261,
        4.788238291642854,
        4.788257840357361,
        4.788277389071869,
        4.788296937786377,
        4.78831600970297,
        4.788335558417478,
        4.788355107131985,
        4.788374179048579,
        4.788393727763086,
        4.788413276477594,
        4.788432825192102,
        4.788451897108695,
        4.788471445823203,
        4.78849099453771,
        4.788510066454304,
        4.7885296151688115,
        4.788549163883319,
        4.788568235799912,
        4.78858778451442,
        4.788607333228928,
        4.7886264051455205,
        4.788645953860028,
        4.788665502574536,
        4.788684574491129,
        4.788704123205637,
        4.7887236719201445,
        4.788742743836738,
        4.788762292551246,
        4.788781841265753,
        4.788800913182346,
        4.788820461896854,
        4.788839533813447,
        4.788859082527955,
        4.788878631242462,
        4.788897703159056,
        4.788917251873563,
        4.788936800588071,
        4.788955872504664,
        4.788975421219172,
        4.788994493135765,
        4.7890140418502725,
        4.78903359056478,
        4.789052662481374,
        4.789072211195881,
        4.789091283112474,
        4.789110831826982,
        4.789129903743575,
        4.789149452458083,
        4.78916900117259,
        4.789188073089184,
        4.789207621803691,
        4.789226693720284,
        4.789246242434792,
        4.789265314351385,
        4.789284863065893,
        4.7893044117804005,
        4.789323483696993,
        4.789343032411502,
        4.789362104328094,
        4.789381653042602,
        4.789400724959195,
        4.789420273673703,
        4.789439345590296,
        4.789458894304803,
        4.789477966221397,
        4.7894975149359045,
        4.789516586852497,
        4.789536135567005,
        4.789555207483598,
        4.789574756198106,
        4.789593828114699,
        4.789613376829207,
        4.7896324487458,
        4.789651997460307,
        4.7896710693769,
        4.7896906180914085,
        4.789709690008001,
        4.789729238722509,
        4.789748310639102,
        4.78976785935361,
        4.789786931270203,
        4.78980647998471,
        4.789825551901304,
        4.789845100615811,
        4.789864172532404,
        4.789883244448997,
        4.789902793163505,
        4.789921865080098,
        4.7899414137946055,
        4.789960485711199,
        4.789980034425707,
        4.789999106342299,
        4.790018655056807,
        4.7900377269734005,
        4.790056798889993,
        4.790076347604501,
        4.790422979688578,
        4.790442051605171,
        4.790461600319679,
        4.790480672236272,
        4.790499744152865,
        4.790519292867373,
        4.790538364783965,
        4.790557436700559,
        4.790576985415067,
        4.790596057331659,
        4.790615129248252,
        4.79063467796276,
        4.790653749879353,
        4.790672821795946,
        4.790692370510453,
        4.790711442427047,
        4.79073051434364,
        4.790749586260232,
        4.790769134974741,
        4.7907882068913334,
        4.790807278807926,
        4.790826827522435,
        4.790845899439027,
        4.79086497135562,
        4.7908845200701276,
        4.790903591986721,
        4.790922663903314,
        4.7909417358199065,
        4.790961284534415,
        4.790980356451008,
        4.7909994283676,
        4.791018500284194,
        4.7910380489987014,
        4.791057120915294,
        4.791114813462988,
        4.791133885379581,
        4.791152957296174,
        4.791172029212767,
        4.7911915779272745,
        4.791210649843868,
        4.791229721760461,
        4.791248793677053,
        4.791268342391562,
        4.7912874143081545,
        4.791306486224747,
        4.791325558141341,
        4.791344630057933,
        4.791364178772441,
        4.791383250689034,
        4.791402322605627,
        4.79142139452222,
        4.791440466438813,
        4.791460015153321,
        4.791479087069914,
        4.791498158986506,
        4.7915172309031,
        4.791536302819693,
        4.791555374736285,
        4.791574923450794,
        4.7915939953673865,
        4.791613067283979,
        4.791632139200573,
        4.791651211117165,
        4.791670283033758,
        4.791689831748266,
        4.791708903664859,
        4.791727975581452,
        4.791747047498045,
        4.791766119414638,
        4.791785191331231,
        4.7918042632478235,
        4.791823335164417,
        4.791842883878925,
        4.791861955795517,
        4.791881027712111,
        4.791900099628704,
        4.791919171545296,
        4.79193824346189,
        4.7919573153784825,
        4.791976387295075,
        4.791995459211669,
        4.792015007926176,
        4.792034079842769,
        4.792053151759362,
        4.792072223675955,
        4.792091295592548,
        4.7921103675091405,
        4.792129439425734,
        4.792148511342327,
        4.7921675832589194,
        4.792186655175513,
        4.792205727092106,
        4.792224799008698,
        4.792243870925292,
        4.7922634196397995,
        4.792282491556392,
        4.792301563472986,
        4.792320635389578,
        4.792339707306171,
        4.792358779222765,
        4.792377851139357,
        4.79239692305595,
        4.792415994972544,
        4.792435066889136,
        4.792454138805729,
        4.7924732107223225,
        4.792492282638915,
        4.792511354555508,
        4.792530426472101,
        4.792549498388694,
        4.792568570305287,
        4.79258764222188,
        4.792606714138473,
        4.792625786055066,
        4.792644857971659,
        4.792663929888252,
        4.7926830018048445,
        4.79277836138781,
        4.792797433304402,
        4.792816505220996,
        4.792835577137589,
        4.792854649054181,
        4.792873720970775,
        4.7928923160894525,
        4.792911388006045,
        4.792930459922639,
        4.7929495318392314,
        4.792968603755824,
        4.792987675672418,
        4.79300674758901,
        4.793025819505603,
        4.793044891422197,
        4.793063963338789,
        4.793083035255382,
        4.7931021071719755,
        4.793121179088568,
        4.793139774207247,
        4.7931588461238395,
        4.793177918040432,
        4.793196989957026,
        4.793216061873618,
        4.793235133790211,
        4.793254205706805,
        4.793273277623397,
        4.79329234953999,
        4.793310944658669,
        4.793330016575261,
        4.793349088491854,
        4.7933681604084475,
        4.79338723232504,
        4.793406304241633,
        4.793425376158226,
        4.793444448074819,
        4.793463043193497,
        4.79348211511009,
        4.793501187026683,
        4.793520258943276,
        4.793539330859869,
        4.793558402776462,
        4.793576997895141,
        4.793596069811733,
        4.793615141728326,
        4.7936342136449195,
        4.793653285561512,
        4.793672357478105,
        4.7936909525967835,
        4.793710024513376,
        4.793729096429969,
        4.793748168346562,
        4.793767240263155,
        4.793785835381833,
        4.793804907298426,
        4.793823979215019,
        4.793843051131612,
        4.793862123048205,
        4.793880718166883,
        4.7938997900834766,
        4.793918862000069,
        4.793937933916662,
        4.7939565290353405,
        4.793975600951933,
        4.793994672868526,
        4.794013744785119,
        4.794032816701712,
        4.79405141182039,
        4.794070483736983,
        4.794089555653576,
        4.794108627570169,
        4.794127222688847,
        4.79414629460544,
        4.794165366522034,
        4.794183961640711,
        4.794203033557304,
        4.794222105473898,
        4.79424117739049,
        4.794259772509169,
        4.794278844425762,
        4.794297916342354,
        4.794316511461033,
        4.7943355833776256,
        4.794354655294218,
        4.794373727210812,
        4.7943923223294895,
        4.794411394246082,
        4.794430466162676,
        4.7944490612813535,
        4.794468133197947,
        4.79448720511454,
        4.7945058002332175,
        4.794524872149811,
        4.794543944066404,
        4.7945625391850815,
        4.794581611101675,
        4.794600683018268,
        4.794619278136946,
        4.794638350053539,
        4.794657421970132,
        4.79467601708881,
        4.794695089005403,
        4.794751827957267,
        4.79477089987386,
        4.794789494992538,
        4.794808566909131,
        4.79482716202781,
        4.794846233944402,
        4.794865305860995,
        4.7948839009796735,
        4.794902972896266,
        4.794922044812859,
        4.7949406399315375,
        4.79495971184813,
        4.794978306966809,
        4.7949973788834015,
        4.795016450799994,
        4.795035045918673,
        4.7950541178352655,
        4.795072712953944,
        4.795091784870537,
        4.7951103799892145,
        4.795129451905808,
        4.795148523822401,
        4.7951671189410785,
        4.795186190857672,
        4.79520478597635,
        4.795223857892943,
        4.795242453011621,
        4.795261524928214,
        4.795280596844807,
        4.795299191963485,
        4.795318263880078,
        4.795336858998756,
        4.795355930915349,
        4.795374526034028,
        4.79539359795062,
        4.795412193069298,
        4.795431264985892,
        4.795449860104569,
        4.795468932021163,
        4.795487527139841,
        4.795506599056433,
        4.795525194175112,
        4.795544266091705,
        4.795562861210383,
        4.795581933126976,
        4.795600528245654,
        4.795619600162247,
        4.795638195280925,
        4.795657267197519,
        4.795675862316196,
        4.795694934232789,
        4.795713529351468,
        4.79573260126806,
        4.795751196386739,
        4.795770268303332,
        4.795788863422009,
        4.795807935338603,
        4.795826530457281,
        4.795845602373873,
        4.795864197492552,
        4.79588279261123,
        4.795901864527823,
        4.795920459646501,
        4.795939531563094,
        4.795958126681772,
        4.795977198598365,
        4.795995793717044,
        4.796014865633636,
        4.796033460752314,
        4.796052055870993,
        4.796071127787585,
        4.796089722906264,
        4.796108794822857,
        4.796127389941534,
        4.796145985060213,
        4.796165056976806,
        4.796183652095484,
        4.796202724012077,
        4.796221319130755,
        4.796239914249433,
        4.796258986166026,
        4.796277581284705,
        4.796296653201297,
        4.796315248319975,
        4.796333843438654,
        4.796352915355246,
        4.796371510473925,
        4.796390105592603,
        4.796409177509196,
        4.796427772627874,
        4.796446844544467,
        4.796465439663145,
        4.796484034781823,
        4.796503106698417,
        4.7965217018170945,
        4.796540296935772,
        4.796559368852366,
        4.7965779639710435,
        4.796596559089722,
        4.796615631006315,
        4.796634226124993,
        4.796652821243671,
        4.796671893160264,
        4.7966904882789425,
        4.79670908339762,
        4.796728155314213,
        4.796746750432892,
        4.796765345551569,
        4.796783940670248,
        4.796803012586841,
        4.796821607705519,
        4.796840202824197,
        4.79685927474079,
        4.796877869859468,
        4.796896464978146,
        4.796915060096825,
        4.796934132013417,
        4.796952727132096,
        4.796971322250774,
        4.796990394167366,
        4.797008989286045,
        4.797027584404723,
        4.797046179523401,
        4.797065251439994,
        4.797083846558672,
        4.7971024416773504,
        4.797121036796028,
        4.797140108712622,
        4.7971587038312995,
        4.797177298949978,
        4.797195894068656,
        4.7972149659852485,
        4.797233561103927,
        4.797252156222605,
        4.797270751341284,
        4.797289346459961,
        4.797308418376554,
        4.797327013495233,
        4.79734560861391,
        4.797364203732589,
        4.797382798851267,
        4.79740187076786,
        4.797420465886538,
        4.797439061005216,
        4.797457656123894,
        4.797476251242572,
        4.797495323159166,
        4.7975139182778435,
        4.797532513396522,
        4.7975511085152,
        4.7975697036338785,
        4.797588298752556,
        4.797607370669149,
        4.7976259657878275,
        4.797644560906505,
        4.797663156025184,
        4.797681751143862,
        4.79770034626254,
        4.797719418179133,
        4.797738013297811,
        4.797756608416489,
        4.797775203535167,
        4.797793798653846,
        4.797812393772523,
        4.797830988891202,
        4.797850060807795,
        4.7978686559264725,
        4.797887251045151,
        4.797905846163829,
        4.7979244412825075,
        4.797943036401185,
        4.797961631519864,
        4.797980226638542,
        4.79799882175722,
        4.798017893673813,
        4.798036488792491,
        4.798055083911169,
        4.798073679029847,
        4.798092274148526,
        4.798110869267203,
        4.798129464385882,
        4.79814805950456,
        4.7981666546232375,
        4.798185249741916,
        4.798203844860594,
        4.798222439979273,
        4.79824103509795,
        4.798260107014544,
        4.798278702133222,
        4.798371677726612,
        4.798390272845291,
        4.7984088679639685,
        4.798427463082647,
        4.798446058201325,
        4.7984646533200035,
        4.798483248438681,
        4.798501843557359,
        4.798520438676038,
        4.798539033794715,
        4.798557628913394,
        4.798576224032072,
        4.79859481915075,
        4.798613414269428,
        4.798632009388107,
        4.7986506045067845,
        4.798669199625462,
        4.798687794744141,
        4.798706389862819,
        4.798724984981497,
        4.798743580100175,
        4.798762175218854,
        4.798780770337531,
        4.79879936545621,
        4.798817960574888,
        4.798836555693566,
        4.798855150812244,
        4.798873745930922,
        4.7988923410496005,
        4.798910936168278,
        4.798929531286957,
        4.798948126405635,
        4.798966244726398,
        4.798984839845076,
        4.799003434963755,
        4.799022030082432,
        4.799040625201111,
        4.799059220319789,
        4.799077815438467,
        4.799096410557145,
        4.799115005675823,
        4.799133600794502,
        4.799152195913179,
        4.799170791031858,
        4.799189386150536,
        4.799207504471299,
        4.799226099589977,
        4.799244694708656,
        4.7992632898273335,
        4.799281884946012,
        4.79930048006469,
        4.799319075183368,
        4.799337670302046,
        4.799356265420724,
        4.799374383741488,
        4.7993929788601655,
        4.799411573978844,
        4.799430169097522,
        4.7994487642162005,
        4.799467359334878,
        4.799485954453557,
        4.79950407277432,
        4.799522667892998,
        4.799541263011676,
        4.799559858130355,
        4.799578453249032,
        4.79959704836771,
        4.799615643486389,
        4.799633761807152,
        4.79965235692583,
        4.799670952044508,
        4.799689547163187,
        4.799708142281864,
        4.799726260602628,
        4.799744855721306,
        4.7997634508399845,
        4.799782045958662,
        4.799800641077341,
        4.799819236196019,
        4.799837354516782,
        4.79985594963546,
        4.799874544754138,
        4.799893139872816,
        4.799911734991494,
        4.799929853312258,
        4.799948448430936,
        4.799967043549614,
        4.799985638668292,
        4.800003756989056,
        4.800022352107733,
        4.800040947226412,
        4.80005954234509,
        4.8000776606658535,
        4.800096255784531,
        4.80011485090321,
        4.800133446021888,
        4.800151564342651,
        4.800170159461329,
        4.800188754580008,
        4.8002073496986855,
        4.800225468019449,
        4.800244063138127,
        4.8002626582568055,
        4.800281253375483,
        4.800299371696247,
        4.800317966814925,
        4.8003365619336025,
        4.800355157052281,
        4.800373275373044,
        4.800391870491723,
        4.8004104656104,
        4.800428583931164,
        4.800447179049842,
        4.80046577416852,
        4.800483892489283,
        4.800502487607962,
        4.80052108272664,
        4.800539201047403,
        4.800557796166081,
        4.80057639128476,
        4.800594986403437,
        4.800613104724201,
        4.800631699842879,
        4.8006502949615575,
        4.80066841328232,
        4.800687008400999,
        4.800705603519677,
        4.80072372184044,
        4.800742316959118,
        4.800760435279882,
        4.80077903039856,
        4.800797625517238,
        4.800815743838001,
        4.80083433895668,
        4.800852934075357,
        4.800871052396121,
        4.800889647514799,
        4.8009082426334775,
        4.80092636095424,
        4.800944956072919,
        4.800963074393682,
        4.80098166951236,
        4.801000264631038,
        4.801018382951802,
        4.80103697807048,
        4.801055096391243,
        4.801073691509921,
        4.801092286628599,
        4.8011104049493625,
        4.801129000068041,
        4.801147118388804,
        4.801165713507483,
        4.80118430862616,
        4.801202426946924,
        4.801221022065602,
        4.8012391403863655,
        4.801257735505043,
        4.801275853825807,
        4.801294448944485,
        4.801313044063162,
        4.801331162383926,
        4.801349757502604,
        4.8013678758233675,
        4.801386470942046,
        4.801404589262809,
        4.801423184381488,
        4.8014413027022504,
        4.801459897820929,
        4.801478016141692,
        4.8014966112603705,
        4.801515206379048,
        4.801533324699812,
        4.80155191981849,
        4.801570038139253,
        4.801588633257931,
        4.801606751578695,
        4.801625346697373,
        4.801643465018136,
        4.801662060136814,
        4.801680178457578,
        4.8016987735762555,
        4.801716891897019,
        4.801735487015697,
        4.801753605336461,
        4.801772200455138,
        4.801790318775902,
        4.80180891389458,
        4.801827032215344,
        4.801845150536106,
        4.801863745654785,
        4.801881863975548,
        4.8019004590942265,
        4.802028717733314,
        4.802046836054077,
        4.802065431172755,
        4.802083549493519,
        4.8021021446121965,
        4.80212026293296,
        4.802138858051638,
        4.802156976372402,
        4.802175094693165,
        4.802193689811843,
        4.802211808132607,
        4.802230403251285,
        4.802248521572048,
        4.802267116690726,
        4.80228523501149,
        4.8023033533322526,
        4.802321948450931,
        4.802340066771694,
        4.802358185092458,
        4.8023767802111355,
        4.802394898531899,
        4.802413493650577,
        4.802431611971341,
        4.802449730292103,
        4.802468325410782,
        4.802486443731545,
        4.8025050388502235,
        4.802523157170986,
        4.80254127549175,
        4.802559870610428,
        4.8025779889311915,
        4.802596107251954,
        4.802614702370633,
        4.802632820691397,
        4.8026509390121594,
        4.802669534130838,
        4.802760602532569,
        4.8027791976512475,
        4.80279731597201,
        4.802815434292774,
        4.802834029411452,
        4.8028521477322155,
        4.80290697949242,
        4.803034761333593,
        4.803089593093798,
        4.803107711414561,
        4.8031258297353245,
        4.803143948056087,
        4.803162543174766,
        4.803180661495529,
        4.8031987798162925,
        4.803216898137056,
        4.803235493255734,
        4.803253611576498,
        4.8032717298972605,
        4.803289848218024,
        4.803308443336702,
        4.803326561657466,
        4.8033446799782284,
        4.803362798298992,
        4.80338139341767,
        4.803399511738434,
        4.803417630059196,
        4.80343574837996,
        4.803453866700724,
        4.803472461819402,
        4.803490580140165,
        4.803508698460928,
        4.803526816781692,
        4.803544935102455,
        4.803563530221133,
        4.803581648541896,
        4.80359976686266,
        4.803617885183423,
        4.803636003504186,
        4.803654598622864,
        4.803672716943628,
        4.8036908352643914,
        4.803708953585154,
        4.803727071905918,
        4.803745190226681,
        4.803763785345359,
        4.803781903666122,
        4.803800021986886,
        4.803818140307649,
        4.8038362586284125,
        4.803854376949176,
        4.803872972067854,
        4.803891090388618,
        4.80390920870938,
        4.803927327030144,
        4.803945445350907,
        4.803963563671671,
        4.8039816819924335,
        4.803999800313197,
        4.804018395431875,
        4.804036513752639,
        4.804054632073402,
        4.804072750394165,
        4.804090868714929,
        4.804108987035692,
        4.804127105356455,
        4.804145223677218,
        4.804163341997982,
        4.80418193711666,
        4.804200055437423,
        4.804218173758187,
        4.80423629207895,
        4.804254410399714,
        4.804272528720476,
        4.80429064704124,
        4.804308765362003,
        4.804326883682767,
        4.80434500200353,
        4.804363120324293,
        4.804381238645057,
        4.80439935696582,
        4.804417475286583,
        4.804436070405261,
        4.804454188726025,
        4.804472307046788,
        4.804490425367551,
        4.804508543688314,
        4.804526662009078,
        4.804544780329842,
        4.804562898650604,
        4.804581016971368,
        4.804599135292131,
        4.804617253612895,
        4.804635371933657,
        4.804653490254421,
        4.804671608575185,
        4.804689726895948,
        4.804707845216711,
        4.804725963537474,
        4.804744081858238,
        4.804762200179001,
        4.804780318499764,
        4.804798436820528,
        4.804816555141291,
        4.804834673462055,
        4.804852791782817,
        4.804870910103581,
        4.804889028424344,
        4.804907146745108,
        4.804925265065871,
        4.804943383386634,
        4.804961501707398,
        4.804979620028161,
        4.804997738348924,
        4.805015856669687,
        4.805033974990451,
        4.805052093311214,
        4.8050702116319775,
        4.805088329952741,
        4.805105971475589,
        4.805124089796353,
        4.805142208117116,
        4.805160326437879,
        4.805178444758643,
        4.805196563079406,
        4.8052146814001695,
        4.805232799720932,
        4.805250918041696,
        4.805269036362459,
        4.8052871546832225,
        4.805305273003986,
        4.805323391324749,
        4.805341509645513,
        4.805359151168361,
        4.805377269489124,
        4.805395387809887,
        4.805413506130651,
        4.805431624451415,
        4.805449742772177,
        4.805467861092941,
        4.805485979413704,
        4.805504097734468,
        4.805521739257316,
        4.805576094219606,
        4.8055942125403694,
        4.805612330861132,
        4.805630449181896,
        4.80564856750266,
        4.805666209025508,
        4.805684327346271,
        4.805702445667034,
        4.805720563987798,
        4.8081584317262935,
        4.81081276571812,
        4.810834221624288,
        4.810855677530454,
        4.810877133436621,
        4.810898112544874,
        4.810919568451041,
        4.8109410243572075,
        4.810962480263375,
        4.810983936169542,
        4.811005392075709,
        4.811155106620964,
        4.811176562527131,
        4.811198018433298,
        4.811219474339465,
        4.811240453447717,
        4.811261909353885,
        4.811283365260052,
        4.811304821166218,
        4.811326277072386,
        4.811347732978553,
        4.8115613384443945,
        4.811582794350561,
        4.811603773458813,
        4.811625229364981,
        4.811646685271148,
        4.811668141177314,
        4.811689120285567,
        4.811710576191734,
        4.811732032097901,
        4.8131102164707,
        4.81478687633818,
        4.814807855446432,
        4.814829311352599,
        4.814850290460852,
        4.814871269569104,
        4.8148922486773555,
        4.814913227785608,
        4.814934683691775,
        4.814955662800028,
        4.81497664190828,
        4.814997621016532,
        4.815018600124785,
        4.815040056030951,
        4.815061035139204,
        4.815082014247456,
        4.815102993355708,
        4.815123972463961,
        4.815145428370128,
        4.8151664074783795,
        4.815187386586632,
        4.815208365694884,
        4.815229344803137,
        4.815250323911389,
        4.8152713030196415,
        4.815292758925808,
        4.81531373803406,
        4.815334717142313,
        4.815355696250565,
        4.815376675358817,
        4.81539765446707,
        4.815418633575322,
        4.815440089481489,
        4.815461068589741,
        4.815482047697993,
        4.815503026806246,
        4.815524005914498,
        4.8155449850227505,
        4.815565964131003,
        4.815586943239254,
        4.815607922347507,
        4.815628901455759,
        4.8156503573619265,
        4.815671336470179,
        4.815692315578431,
        4.815713294686684,
        4.815734273794935,
        4.8157552529031875,
        4.81577623201144,
        4.815797211119692,
        4.815818190227945,
        4.815839169336197,
        4.815860148444449,
        4.815881127552701,
        4.815902106660953,
        4.815923085769206,
        4.815944064877458,
        4.8159650439857105,
        4.815986023093963,
        4.816007002202215,
        4.816027981310468,
        4.816048960418719,
        4.8160699395269715,
        4.816090918635224,
        4.816111897743476,
        4.816132876851729,
        4.816153855959981,
        4.816174835068233,
        4.816195814176485,
        4.816216793284737,
        4.81623777239299,
        4.816258751501242,
        4.816279730609494,
        4.816300709717747,
        4.816321688825999,
        4.816342667934252,
        4.816363647042503,
        4.8163846261507555,
        4.816405605259008,
        4.81642658436726,
        4.816447563475513,
        4.816468542583765,
        4.816489521692017,
        4.816510500800269,
        4.816531479908521,
        4.816552459016774,
        4.816572961327111,
        4.8165939404353635,
        4.816614919543616,
        4.816635898651868,
        4.816656877760121,
        4.816677856868372,
        4.8166988359766245,
        4.816719815084877,
        4.816740794193129,
        4.816761773301382,
        4.816782275611719,
        4.8168032547199715,
        4.816824233828224,
        4.816845212936476,
        4.816866192044728,
        4.81688717115298,
        4.8169081502612325,
        4.816929129369485,
        4.816949631679822,
        4.816970610788075,
        4.816991589896327,
        4.8170125690045795,
        4.817033548112831,
        4.817054527221083,
        4.817075029531421,
        4.817096008639673,
        4.817116987747926,
        4.817137966856178,
        4.81715894596443,
        4.817179925072683,
        4.81720042738302,
        4.817221406491272,
        4.817242385599524,
        4.8172633647077765,
        4.817284343816029,
        4.817304846126366,
        4.817325825234619,
        4.817346804342871,
        4.8173677834511235,
        4.817388762559376,
        4.817409264869713,
        4.817430243977965,
        4.817451223086217,
        4.81747220219447,
        4.817492704504807,
        4.817513683613059,
        4.817534662721312,
        4.817555641829564,
        4.817576144139902,
        4.817597123248154,
        4.8176181023564055,
        4.817639081464658,
        4.817659583774995,
        4.817680562883248,
        4.8177015419915,
        4.8177225210997525,
        4.81774302341009,
        4.817764002518342,
        4.817784981626595,
        4.817805483936932,
        4.817826463045184,
        4.817847442153436,
        4.8178679444637735,
        4.817888923572026,
        4.817909902680278,
        4.817930881788531,
        4.817951384098868,
        4.8179723632071205,
        4.817993342315373,
        4.81801384462571,
        4.818034823733962,
        4.818055802842214,
        4.818076305152552,
        4.818097284260804,
        4.8181182633690565,
        4.818138765679394,
        4.818159744787646,
        4.818180247097984,
        4.818201226206236,
        4.8182222053144885,
        4.818242707624826,
        4.8182636867330775,
        4.81828466584133,
        4.818305168151667,
        4.81832614725992,
        4.818346649570257,
        4.8183676286785095,
        4.818388607786762,
        4.818409110097099,
        4.818430089205352,
        4.818451068313604,
        4.818471570623942,
        4.818492549732193,
        4.8185130520425306,
        4.818534031150783,
        4.81855453346112,
        4.818575512569373,
        4.818596491677625,
        4.818616993987963,
        4.818637973096215,
        4.8186584754065525,
        4.818679454514805,
        4.818699956825142,
        4.818720935933395,
        4.818741438243732,
        4.818762417351984,
        4.818783396460236,
        4.8188038987705735,
        4.818824877878826,
        4.818845380189163,
        4.818866359297416,
        4.818886861607753,
        4.8189078407160055,
        4.818928343026343,
        4.818949322134595,
        4.818969824444933,
        4.818990803553184,
        4.819011305863522,
        4.819032284971774,
        4.819052787282112,
        4.819073766390364,
        4.8190942687007015,
        4.819115247808954,
        4.819135750119291,
        4.819156729227544,
        4.819177231537881,
        4.8191982106461335,
        4.819218712956471,
        4.819239215266808,
        4.819260194375061,
        4.819280696685398,
        4.81930167579365,
        4.819322178103987,
        4.81934315721224,
        4.819363659522577,
        4.819384638630829,
        4.819405140941167,
        4.819425643251504,
        4.819446622359757,
        4.819467124670094,
        4.819488103778347,
        4.819508606088684,
        4.819529585196936,
        4.819550087507274,
        4.819570589817611,
        4.819591568925863,
        4.8196120712362,
        4.819633050344453,
        4.81965355265479,
        4.819674054965128,
        4.81969503407338,
        4.819715536383717,
        4.819736038694055,
        4.819757017802307,
        4.819777520112645,
        4.819798499220897,
        4.8198190015312345,
        4.819839503841572,
        4.819860482949824,
        4.819880985260162,
        4.819901487570499,
        4.819922466678751,
        4.819942968989088,
        4.819963471299426,
        4.819984450407678,
        4.8200049527180155,
        4.820025455028353,
        4.820046434136605,
        4.820066936446943,
        4.82008743875728,
        4.820108417865533,
        4.82012892017587,
        4.820149422486208,
        4.820169924796545,
        4.820190903904797,
        4.820211406215135,
        4.820231908525472,
        4.820252887633725,
        4.820273389944062,
        4.8202938922544,
        4.820314394564737,
        4.820335373672989,
        4.820355875983326,
        4.8203763782936635,
        4.820396880604001,
        4.820912299149926,
        4.8209328014602635,
        4.820953303770601,
        4.820973806080938,
        4.820994308391276,
        4.821015287499528,
        4.821035789809866,
        4.821056292120203,
        4.821076794430541,
        4.821097296740878,
        4.8211177990512155,
        4.821138301361553,
        4.821159280469805,
        4.821179782780143,
        4.82120028509048,
        4.821220787400818,
        4.821241289711155,
        4.821261792021493,
        4.82128229433183,
        4.8213027966421675,
        4.821323298952505,
        4.821344278060757,
        4.821364780371095,
        4.821385282681432,
        4.82140578499177,
        4.821426287302106,
        4.821446789612444,
        4.821467291922781,
        4.821487794233119,
        4.821508296543456,
        4.821528798853794,
        4.821549301164131,
        4.8215698034744685,
        4.821590305784806,
        4.821610808095143,
        4.821631787203396,
        4.821652289513733,
        4.821672791824071,
        4.821693294134408,
        4.821713796444746,
        4.821734298755083,
        4.8217548010654205,
        4.821877814927445,
        4.821898317237783,
        4.82191881954812,
        4.821939321858458,
        4.821959824168795,
        4.8219803264791326,
        4.82200082878947,
        4.8220213310998075,
        4.822041833410145,
        4.822062335720482,
        4.82208283803082,
        4.822103340341157,
        4.822123842651495,
        4.822144344961832,
        4.822164370474255,
        4.822184872784592,
        4.82220537509493,
        4.822225877405267,
        4.8222463797156045,
        4.822266882025942,
        4.8222873843362795,
        4.822307886646617,
        4.822328388956954,
        4.822348891267292,
        4.822369393577629,
        4.822389895887967,
        4.822410398198304,
        4.822430900508642,
        4.822450926021064,
        4.822471428331402,
        4.822491930641739,
        4.8225124329520765,
        4.822532935262414,
        4.8225534375727515,
        4.822573939883089,
        4.822594442193426,
        4.822614944503764,
        4.822634970016186,
        4.822655472326524,
        4.822675974636861,
        4.822696476947199,
        4.822716979257536,
        4.822737481567874,
        4.822757983878211,
        4.822778009390634,
        4.822798511700971,
        4.8228190140113085,
        4.822839516321646,
        4.822860018631983,
        4.822880520942321,
        4.822900546454743,
        4.822921048765081,
        4.822941551075418,
        4.822962053385756,
        4.822982555696093,
        4.823003058006431,
        4.823023083518853,
        4.823043585829191,
        4.823064088139528,
        4.823084590449866,
        4.823105092760203,
        4.823125118272626,
        4.823145620582963,
        4.8231661228933005,
        4.823186625203638,
        4.8232066507160605,
        4.823227153026398,
        4.823247655336735,
        4.823268157647073,
        4.82328865995741,
        4.823308685469833,
        4.82332918778017,
        4.823349690090508,
        4.823370192400845,
        4.823390217913268,
        4.823410720223605,
        4.823431222533943,
        4.82345172484428,
        4.823471750356703,
        4.82349225266704,
        4.8235127549773775,
        4.8235327804898,
        4.8235532828001375,
        4.823573785110475,
        4.823594287420812,
        4.823614312933235,
        4.823634815243572,
        4.82365531755391,
        4.823675343066332,
        4.82369584537667,
        4.823716347687007,
        4.82373637319943,
        4.823756875509767,
        4.823777377820105,
        4.823797403332527,
        4.823817905642865,
        4.823838407953202,
        4.823858433465625,
        4.823878935775962,
        4.8238994380863,
        4.823919463598722,
        4.82393996590906,
        4.823960468219397,
        4.82398049373182,
        4.824000996042157,
        4.8240214983524945,
        4.824041523864918,
        4.8240620261752545,
        4.824082528485592,
        4.824102553998015,
        4.824123056308353,
        4.824143081820775,
        4.824163584131113,
        4.82418408644145,
        4.824204111953873,
        4.82422461426421,
        4.824244639776633,
        4.82426514208697,
        4.824285644397308,
        4.82430566990973,
        4.824326172220068,
        4.82434619773249,
        4.824366700042828,
        4.82438672555525,
        4.824407227865588,
        4.824427730175925,
        4.824447755688348,
        4.824468257998685,
        4.824488283511108,
        4.824508785821445,
        4.824528811333868,
        4.824549313644205,
        4.824569339156628,
        4.824589841466965,
        4.8246103437773025,
        4.824630369289725,
        4.8246508716000625,
        4.824670897112485,
        4.824691399422822,
        4.824711424935246,
        4.824731927245583,
        4.824751952758006,
        4.824772455068343,
        4.824792480580766,
        4.824812982891103,
        4.824833008403526,
        4.824853510713863,
        4.824873536226286,
        4.824894038536623,
        4.824914064049046,
        4.824934566359383,
        4.824954591871806,
        4.824975094182143,
        4.824995119694566,
        4.825015145206988,
        4.825035647517326,
        4.825055673029748,
        4.825076175340086,
        4.825096200852508,
        4.825116703162846,
        4.825136728675268,
        4.825157230985606,
        4.825177256498029,
        4.8251977588083665,
        4.825217784320789,
        4.825237809833212,
        4.825258312143549,
        4.825278337655972,
        4.825298839966309,
        4.825318865478732,
        4.825338890991154,
        4.8253593933014916,
        4.82554105330704,
        4.825561555617377,
        4.8255815811298,
        4.8256016066422225,
        4.82562210895256,
        4.8256421344649825,
        4.82566263677532,
        4.8256826622877425,
        4.825702687800165,
        4.825723190110502,
        4.825743215622925,
        4.8257632411353475,
        4.825783743445685,
        4.8258037689581075,
        4.82582379447053,
        4.8258442967808675,
        4.82586432229329,
        4.825884347805713,
        4.825904850116051,
        4.825924875628473,
        4.825944901140896,
        4.825964926653318,
        4.825985428963656,
        4.826005454476078,
        4.826025479988501,
        4.826045982298838,
        4.826066007811261,
        4.8260860333236835,
        4.826106058836106,
        4.8261265611464434,
        4.826146586658866,
        4.8261666121712885,
        4.826187114481626,
        4.826207139994049,
        4.826227165506472,
        4.826247191018894,
        4.826267693329232,
        4.826287718841654,
        4.826307744354077,
        4.8263277698664995,
        4.826348272176837,
        4.8263682976892595,
        4.826388323201682,
        4.8264083487141045,
        4.826428374226527,
        4.8264488765368645,
        4.826468902049287,
        4.82648892756171,
        4.826508953074133,
        4.82652945538447,
        4.826549480896893,
        4.8265695064093155,
        4.826589531921738,
        4.8266095574341605,
        4.826629582946583,
        4.8266500852569205,
        4.826670110769343,
        4.826690136281766,
        4.826710161794188,
        4.8267301873066115,
        4.826750689616949,
        4.8267707151293715,
        4.826790740641794,
        4.826810766154217,
        4.826830791666639,
        4.826850817179062,
        4.826870842691484,
        4.826891345001822,
        4.826911370514244,
        4.826931396026667,
        4.826951421539089,
        4.826971447051513,
        4.826991472563935,
        4.827011498076358,
        4.827032000386695,
        4.827052025899118,
        4.82707205141154,
        4.827092076923963,
        4.827112102436385,
        4.827132127948808,
        4.82715215346123,
        4.827172178973653,
        4.827192204486075,
        4.827212229998499,
        4.827232732308836,
        4.827252757821259,
        4.827272783333681,
        4.827292808846104,
        4.827312834358526,
        4.827332859870949,
        4.827352885383371,
        4.827372910895794,
        4.827392936408216,
        4.827412961920639,
        4.827432987433062,
        4.827453012945485,
        4.827473038457907,
        4.82749306397033,
        4.8275130894827525,
        4.827533114995175,
        4.8275531405075975,
        4.82757316602002,
        4.8275936683303575,
        4.82761369384278,
        4.827633719355203,
        4.827653744867626,
        4.8276737703800485,
        4.827693795892471,
        4.827713821404894,
        4.827733846917316,
        4.827753872429739,
        4.827773897942161,
        4.827793923454584,
        4.827813948967006,
        4.827833974479429,
        4.827853999991852,
        4.82787354870636,
        4.827893574218782,
        4.827913599731205,
        4.827933625243627,
        4.82795365075605,
        4.827973676268472,
        4.827993701780895,
        4.8280137272933175,
        4.828033752805741,
        4.828053778318163,
        4.828073803830586,
        4.8280938293430085,
        4.828113854855431,
        4.8281338803678535,
        4.828153905880276,
        4.828173931392699,
        4.828193956905121,
        4.828213982417544,
        4.828233531132052,
        4.828253556644475,
        4.828273582156897,
        4.82829360766932,
        4.828313633181742,
        4.828333658694165,
        4.828353684206587,
        4.82837370971901,
        4.828393735231432,
        4.828413760743856,
        4.828433309458363,
        4.828453334970786,
        4.828473360483208,
        4.828493385995631,
        4.8285134115080535,
        4.828533437020476,
        4.8285534625328985,
        4.828573488045321,
        4.8285930367598295,
        4.828613062272252,
        4.828633087784675,
        4.828653113297097,
        4.82867313880952,
        4.828693164321942,
        4.82871271303645,
        4.828732738548873,
        4.828752764061296,
        4.828772789573718,
        4.828792815086141,
        4.828812840598563,
        4.828832389313071,
        4.828852414825493,
        4.828872440337916,
        4.8288924658503385,
        4.828912491362762,
        4.8289320400772695,
        4.828952065589692,
        4.8291909413450185,
        4.829210966857441,
        4.829230992369864,
        4.829251017882287,
        4.8292705665967945,
        4.829290592109217,
        4.82931061762164,
        4.829330643134062,
        4.82935019184857,
        4.829370217360993,
        4.829390242873416,
        4.829409791587923,
        4.829429817100346,
        4.829449842612768,
        4.829469868125191,
        4.8294894168396985,
        4.829509442352121,
        4.829529467864544,
        4.829549016579052,
        4.8295690420914745,
        4.829589067603897,
        4.829608616318405,
        4.829628641830827,
        4.82964866734325,
        4.829668216057758,
        4.829688241570181,
        4.829708267082603,
        4.829727815797111,
        4.829747841309533,
        4.829767866821956,
        4.8297874155364635,
        4.829807441048887,
        4.8298274665613095,
        4.829847015275817,
        4.82986704078824,
        4.829887066300662,
        4.82990661501517,
        4.829926640527592,
        4.829946189242101,
        4.829966214754523,
        4.829986240266946,
        4.830005788981453,
        4.830025814493876,
        4.830045840006298,
        4.830065388720806,
        4.830085414233229,
        4.830104962947737,
        4.83012498846016,
        4.830145013972582,
        4.83016456268709,
        4.830184588199512,
        4.83020413691402,
        4.830224162426443,
        4.830243711140951,
        4.830263736653373,
        4.830283762165796,
        4.8303033108803035,
        4.830323336392726,
        4.830342885107234,
        4.830362910619657,
        4.830382459334165,
        4.830402484846587,
        4.830422033561095,
        4.830442059073517,
        4.83046208458594,
        4.830481633300448,
        4.830501658812871,
        4.8305212075273785,
        4.830541233039801,
        4.830560781754309,
        4.830580807266731,
        4.830600355981239,
        4.830620381493662,
        4.83063993020817,
        4.830659955720592,
        4.8306795044351,
        4.830699529947522,
        4.83071907866203,
        4.830739104174453,
        4.830758652888961,
        4.8307786784013835,
        4.830798227115891,
        4.830818252628314,
        4.830837801342821,
        4.830857826855244,
        4.830877375569752,
        4.83089692428426,
        4.830916949796682,
        4.83093649851119,
        4.8309565240236125,
        4.830976072738121,
        4.8309960982505435,
        4.831015646965051,
        4.831035672477474,
        4.831055221191981,
        4.831074769906489,
        4.831094795418911,
        4.83111434413342,
        4.831134369645842,
        4.83115391836035,
        4.8311739438727725,
        4.83119349258728,
        4.831213041301789,
        4.831233066814211,
        4.831252615528719,
        4.831272641041141,
        4.831292189755649,
        4.8313117384701565,
        4.831331763982579,
        4.8313513126970875,
        4.83137133820951,
        4.831390886924018,
        4.831410435638525,
        4.831430461150948,
        4.831450009865456,
        4.831469558579964,
        4.831489584092386,
        4.831509132806894,
        4.831528681521402,
        4.831548707033824,
        4.831568255748333,
        4.831588281260755,
        4.831607829975263,
        4.83162737868977,
        4.831647404202193,
        4.8316669529167005,
        4.831686501631209,
        4.8317065271436315,
        4.831726075858139,
        4.831745624572647,
        4.831765173287154,
        4.831785198799578,
        4.831804747514085,
        4.831824296228593,
        4.831844321741015,
        4.831863870455523,
        4.831883419170031,
        4.831903444682454,
        4.831922993396962,
        4.831942542111469,
        4.831962090825977,
        4.831982116338399,
        4.832001665052908,
        4.8320212137674154,
        4.832041239279838,
        4.832060787994346,
        4.832080336708853,
        4.832099885423362,
        4.832119910935784,
        4.832139459650292,
        4.832159008364799,
        4.832178557079307,
        4.8321985825917295,
        4.832218131306238,
        4.832237680020746,
        4.832257228735253,
        4.832277254247676,
        4.832296802962183,
        4.832316351676692,
        4.832335900391199,
        4.832355449105707,
        4.8323754746181296,
        4.832395023332637,
        4.832414572047146,
        4.832434120761653,
        4.832453669476161,
        4.832473694988583,
        4.832493243703091,
        4.832512792417599,
        4.832532341132107,
        4.832551889846615,
        4.832846550957976,
        4.832866099672484,
        4.832885648386991,
        4.832905197101499,
        4.832924745816007,
        4.832944294530515,
        4.832963843245023,
        4.832983868757445,
        4.833003417471953,
        4.833022966186461,
        4.833042514900969,
        4.833062063615476,
        4.833081612329984,
        4.833101161044492,
        4.833120709759,
        4.833140258473508,
        4.833159807188015,
        4.833179355902523,
        4.833199381414945,
        4.833218930129454,
        4.8332384788439615,
        4.833258027558469,
        4.833277576272977,
        4.833297124987485,
        4.833316673701993,
        4.8333362224165,
        4.833355771131008,
        4.833375319845516,
        4.833394868560024,
        4.833414417274532,
        4.833433965989039,
        4.833453514703547,
        4.8334730634180545,
        4.833492612132563,
        4.833512160847071,
        4.833531709561578,
        4.833551258276086,
        4.833570806990594,
        4.833590355705102,
        4.8336099044196095,
        4.833629453134117,
        4.833649001848625,
        4.833668550563133,
        4.833688099277641,
        4.833707647992148,
        4.833727196706656,
        4.8337467454211644,
        4.833766294135672,
        4.83378584285018,
        4.833805391564687,
        4.833824940279195,
        4.833844488993703,
        4.833864037708211,
        4.8338835864227185,
        4.833903135137226,
        4.833922683851734,
        4.833942232566242,
        4.83396178128075,
        4.833981329995257,
        4.834000878709765,
        4.8340204274242735,
        4.834039976138781,
        4.834059048055374,
        4.834078596769881,
        4.83409814548439,
        4.8341176941988975,
        4.834137242913405,
        4.834156791627913,
        4.83417634034242,
        4.834195889056929,
        4.834215437771436,
        4.834234986485944,
        4.834254535200452,
        4.834273607117045,
        4.834293155831553,
        4.83431270454606,
        4.834332253260568,
        4.8343518019750755,
        4.834371350689584,
        4.834390899404092,
        4.834410448118599,
        4.834429520035192,
        4.8344490687497,
        4.834468617464208,
        4.834488166178716,
        4.834507714893223,
        4.834527263607732,
        4.834546812322239,
        4.834565884238832,
        4.8345854329533395,
        4.834604981667847,
        4.834624530382356,
        4.834644079096863,
        4.834663627811371,
        4.8346826997279635,
        4.834702248442472,
        4.83472179715698,
        4.834741345871487,
        4.834760894585995,
        4.834779966502588,
        4.834799515217096,
        4.8348190639316035,
        4.834838612646111,
        4.83485816136062,
        4.834877233277212,
        4.83489678199172,
        4.8349163307062275,
        4.834935879420736,
        4.834955428135244,
        4.834974500051836,
        4.834994048766344,
        4.8350135974808515,
        4.83503314619536,
        4.835052218111953,
        4.83507176682646,
        4.835091315540968,
        4.835110864255476,
        4.835129936172069,
        4.835149484886577,
        4.835169033601084,
        4.835188582315593,
        4.835207654232185,
        4.835227202946693,
        4.8352467516612005,
        4.835266300375709,
        4.835285372292302,
        4.835304921006809,
        4.835324469721317,
        4.8353435416379105,
        4.835363090352418,
        4.835382639066926,
        4.835402187781433,
        4.835421259698027,
        4.835440808412534,
        4.835460357127042,
        4.835479429043636,
        4.835498977758143,
        4.835518526472651,
        4.8355375983892435,
        4.835557147103751,
        4.8355766958182596,
        4.835595767734852,
        4.83561531644936,
        4.835634865163867,
        4.835653937080461,
        4.835673485794969,
        4.835693034509476,
        4.83571210642607,
        4.835731655140577,
        4.835751203855085,
        4.835770275771678,
        4.835789824486186,
        4.835809373200694,
        4.835828445117286,
        4.835847993831794,
        4.8358670657483875,
        4.835886614462895,
        4.835906163177403,
        4.835925235093995,
        4.835944783808504,
        4.8359643325230115,
        4.835983404439604,
        4.836002953154112,
        4.836022025070705,
        4.836041573785213,
        4.8360611224997205,
        4.836080194416313,
        4.836099743130822,
        4.836118815047414,
        4.836138363761922,
        4.8361574356785155,
        4.836486426239744,
        4.8365054981563365,
        4.836525046870845,
        4.836544118787438,
        4.836563667501945,
        4.836582739418539,
        4.836602288133046,
        4.836621360049639,
        4.836640908764147,
        4.83665998068074,
        4.836679529395248,
        4.8366986013118405,
        4.836718150026348,
        4.836737221942942,
        4.836756770657449,
        4.836775842574042,
        4.8367953912885495,
        4.836814463205143,
        4.836834011919651,
        4.836853083836243,
        4.836872155752837,
        4.8368917044673445,
        4.836910776383937,
        4.836930325098445,
        4.836949397015038,
        4.836968945729546,
        4.836988017646139,
        4.837007566360647,
        4.83702663827724,
        4.8370457101938324,
        4.83706525890834,
        4.837084330824934,
        4.837103879539441,
        4.837122951456034,
        4.837142023372627,
        4.837161572087135,
        4.837180644003728,
        4.837200192718235,
        4.837219264634829,
        4.8372383365514215,
        4.837257885265929,
        4.837276957182523,
        4.83729650589703,
        4.837315577813623,
        4.8373346497302165,
        4.837354198444724,
        4.837373270361317,
        4.837392819075824,
        4.837411890992418,
        4.837430962909011,
        4.837450511623518,
        4.837469583540111,
        4.8374886554567045,
        4.837508204171212,
        4.837527276087805,
        4.837546348004398,
        4.837565896718906,
        4.837584968635499,
        4.837604040552092,
        4.8376235892666,
        4.837642661183192,
        4.837661733099785,
        4.837681281814294,
        4.837700353730886,
        4.837719425647479,
        4.837738974361987,
        4.83775804627858,
        4.837777118195173,
        4.83779666690968,
        4.837815738826274,
        4.837834810742867,
        4.837853882659459,
        4.837873431373968,
        4.83789250329056,
        4.837911575207153,
        4.837931123921662,
        4.837950195838254,
        4.837969267754847,
        4.8379883396714405,
        4.838007888385948,
        4.838026960302541,
        4.838046032219133,
        4.838065104135727,
        4.838084652850235,
        4.838103724766827,
        4.838122796683421,
        4.8381418686000135,
        4.838161417314521,
        4.838180489231115,
        4.838199561147707,
        4.8382186330643,
        4.838238181778808,
        4.838257253695401,
        4.838276325611994,
        4.8382953975285865,
        4.83831446944518,
        4.838334018159688,
        4.83835309007628,
        4.838372161992874,
        4.838391233909467,
        4.838410305826059,
        4.838429854540567,
        4.83844892645716,
        4.838467998373753,
        4.838487070290346,
        4.838506142206939,
        4.838525690921447,
        4.83854476283804,
        4.838563834754633,
        4.838582906671226,
        4.8386019785878185,
        4.838621050504412,
        4.83864059921892,
        4.838659671135512,
        4.838678743052106,
        4.8386978149686986,
        4.838716886885291,
        4.838735958801885,
        4.8387550307184775,
        4.838774579432985,
        4.838793651349578,
        4.838812723266171,
        4.838831795182764,
        4.838850867099357,
        4.83886993901595,
        4.838889010932543,
        4.8389080828491355,
        4.838927631563644,
        4.838946703480237,
        4.838965775396829,
        4.838984847313423,
        4.839003919230016,
        4.839022991146608,
        4.839042063063202,
        4.8390611349797945,
        4.839080206896387,
        4.839099278812981,
        4.839118827527488,
        4.839137899444081,
        4.839156971360675,
        4.839176043277267,
        4.83919511519386,
        4.8392141871104535,
        4.839233259027046,
        4.839252330943639,
        4.839271402860232,
        4.839290474776825,
        4.839309546693418,
        4.839328618610011,
        4.839347690526604,
        4.839366762443197,
        4.83938583435979,
        4.839404906276383,
        4.8394239781929755,
        4.839443050109569,
        4.839462122026162,
        4.8394811939427544,
        4.839500265859348,
        4.839519814573856,
        4.839538886490448,
        4.839557958407041,
        4.8395770303236345,
        4.839596102240227,
        4.83961517415682,
        4.839634246073413,
        4.839653317990006,
        4.839672389906599,
        4.839690985025277,
        4.83971005694187,
        4.840680340698538,
        4.84069941261513,
        4.840718484531723,
        4.840737556448317,
        4.840756628364909,
        4.840775223483588,
        4.840794295400181,
        4.840813367316773,
        4.840832439233367,
        4.8408515111499595,
        4.840870106268637,
        4.840889178185231,
        4.8409082501018235,
        4.840927322018416,
        4.84094639393501,
        4.840964989053687,
        4.84098406097028,
        4.841003132886874,
        4.841022204803466,
        4.841040799922145,
        4.841059871838738,
        4.84107894375533,
        4.841098015671924,
        4.841116610790602,
        4.841135682707194,
        4.841154754623788,
        4.8411738265403805,
        4.841192421659058,
        4.841211493575652,
        4.8412305654922445,
        4.841249637408837,
        4.841268232527516,
        4.8412873044441085,
        4.841306376360702,
        4.84132497147938,
        4.8413440433959725,
        4.841363115312566,
        4.841382187229159,
        4.841400782347836,
        4.84141985426443,
        4.841438926181023,
        4.841457521299701,
        4.841476593216294,
        4.841495665132887,
        4.841514260251565,
        4.841533332168158,
        4.841552404084751,
        4.841570999203429,
        4.841590071120022,
        4.841609143036615,
        4.841627738155293,
        4.841646810071886,
        4.8416658819884795,
        4.841684477107157,
        4.84170354902375,
        4.8417226209403434,
        4.841741216059021,
        4.841760287975614,
        4.841779359892207,
        4.841797955010885,
        4.841817026927479,
        4.8418356220461565,
        4.841854693962749,
        4.841873765879343,
        4.8431735169951535,
        4.843192588911746,
        4.843849139640459,
        4.8438677347591375,
        4.843886329877815,
        4.843905401794409,
        4.8439239969130865,
        4.843942592031764,
        4.843961663948358,
        4.8439802590670356,
        4.843998854185714,
        4.844017449304392,
        4.844036521220985,
        4.844055116339663,
        4.844073711458341,
        4.84409230657702,
        4.844111378493612,
        4.844129973612291,
        4.844148568730969,
        4.844167163849646,
        4.84418623576624,
        4.844204830884918,
        4.844223426003596,
        4.844242021122274,
        4.844261093038868,
        4.844279688157545,
        4.844298283276223,
        4.844316878394902,
        4.844335950311494,
        4.844354545430173,
        4.844373140548851,
        4.8443917356675295,
        4.844410330786207,
        4.8444294027028,
        4.8444479978214785,
        4.844466592940156,
        4.844485188058835,
        4.844503783177513,
        4.844522855094105,
        4.844541450212784,
        4.844560045331462,
        4.84457864045014,
        4.844597235568818,
        4.844615830687497,
        4.844634902604089,
        4.844653497722767,
        4.844672092841446,
        4.8446906879601235,
        4.844709283078802,
        4.84472787819748,
        4.844746950114073,
        4.844765545232751,
        4.84478414035143,
        4.8448027354701075,
        4.844821330588785,
        4.844839925707464,
        4.844858520826142,
        4.84487711594482,
        4.844896187861413,
        4.844914782980092,
        4.844933378098769,
        4.844951973217447,
        4.844970568336126,
        4.8449891634548035,
        4.845007758573482,
        4.84502635369216,
        4.845045425608753,
        4.845064020727431,
        4.845082615846109,
        4.8451012109647875,
        4.845119806083465,
        4.845138401202144,
        4.845156996320822,
        4.8451755914395,
        4.845194186558178,
        4.845212781676857,
        4.845231376795534,
        4.845249971914213,
        4.845268567032891,
        4.8452876389494834,
        4.845306234068162,
        4.84532482918684,
        4.8453434243055185,
        4.845362019424196,
        4.845380614542875,
        4.845399209661553,
        4.84541780478023,
        4.845436399898909,
        4.845454995017587,
        4.845473590136265,
        4.845492185254943,
        4.845510780373622,
        4.8455293754922995,
        4.845547970610978,
        4.845566565729656,
        4.845585160848334,
        4.845603755967012,
        4.84562235108569,
        4.845640946204369,
        4.845659541323046,
        4.845678136441725,
        4.845696731560403,
        4.845715326679081,
        4.845733921797759,
        4.845752516916438,
        4.8457711120351155,
        4.845789707153793,
        4.845808302272472,
        4.84582689739115,
        4.845845492509828,
        4.845864087628506,
        4.845882682747185,
        4.845901277865862,
        4.845919872984541,
        4.845938468103219,
        4.8459570632218965,
        4.845975658340575,
        4.845994253459253,
        4.8460128485779315,
        4.846031443696609,
        4.846049562017373,
        4.846068157136051,
        4.846086752254729,
        4.846105347373407,
        4.846123942492086,
        4.846142537610763,
        4.846161132729442,
        4.84617972784812,
        4.8461983229667975,
        4.846216918085476,
        4.846235513204154,
        4.8462541083228325,
        4.846272226643595,
        4.846290821762274,
        4.846309416880952,
        4.84632801199963,
        4.846346607118308,
        4.846365202236987,
        4.8463837973556645,
        4.846402392474343,
        4.846420987593021,
        4.846439105913785,
        4.846457701032462,
        4.84647629615114,
        4.846494891269819,
        4.846513486388496,
        4.846532081507175,
        4.846550676625853,
        4.8465687949466165,
        4.846587390065294,
        4.846605985183973,
        4.846624580302651,
        4.846643175421329,
        4.846661770540007,
        4.846679888860771,
        4.8466984839794485,
        4.846717079098126,
        4.846735674216805,
        4.846754269335483,
        4.846772864454161,
        4.846790982774924,
        4.846809577893603,
        4.84682817301228,
        4.846846768130959,
        4.846865363249637,
        4.8468834815704005,
        4.846902076689078,
        4.846920671807757,
        4.846939266926435,
        4.846957862045113,
        4.846975980365876,
        4.846994575484555,
        4.8470131706032324,
        4.847474710984782,
        4.847493306103461,
        4.847511901222139,
        4.847530496340816,
        4.84754861466158,
        4.847567209780258,
        4.847585804898936,
        4.847603923219699,
        4.847622518338378,
        4.847641113457056,
        4.847659231777819,
        4.847677826896497,
        4.847696422015176,
        4.8477145403359385,
        4.847733135454617,
        4.847751730573295,
        4.847769848894059,
        4.847788444012736,
        4.847807039131415,
        4.847825157452178,
        4.847843752570856,
        4.847862347689534,
        4.847880466010298,
        4.847899061128976,
        4.847917179449739,
        4.847935774568417,
        4.847954369687096,
        4.8479724880078585,
        4.847991083126537,
        4.848009678245215,
        4.848027796565979,
        4.848046391684656,
        4.84806451000542,
        4.848083105124098,
        4.848101700242776,
        4.848119818563539,
        4.848138413682218,
        4.848156532002981,
        4.848175127121659,
        4.848193722240337,
        4.848211840561101,
        4.8482304356797785,
        4.848248554000542,
        4.84826714911922,
        4.848285267439984,
        4.848303862558661,
        4.84832245767734,
        4.848340575998103,
        4.8483591711167815,
        4.848377289437544,
        4.848395884556223,
        4.848414002876986,
        4.848432597995664,
        4.848450716316427,
        4.848469311435106,
        4.848487906553784,
        4.848506024874547,
        4.848524619993225,
        4.848542738313989,
        4.8485613334326665,
        4.84857945175343,
        4.848598046872108,
        4.848616165192872,
        4.848634760311549,
        4.848652878632313,
        4.848671473750991,
        4.8486895920717545,
        4.848708187190432,
        4.848726305511196,
        4.848744900629874,
        4.848763018950637,
        4.848781614069315,
        4.848799732390079,
        4.848818327508757,
        4.84883644582952,
        4.848855040948198,
        4.848873159268962,
        4.8488917543876395,
        4.848909872708403,
        4.848928467827081,
        4.848946586147845,
        4.848965181266522,
        4.848983299587286,
        4.849001417908049,
        4.849020013026728,
        4.849038131347491,
        4.849056726466169,
        4.849074844786933,
        4.8490934399056105,
        4.849111558226374,
        4.849130153345052,
        4.849148271665816,
        4.8491663899865785,
        4.849184985105257,
        4.84920310342602,
        4.8492216985446985,
        4.849239816865461,
        4.84925841198414,
        4.849276530304903,
        4.8492946486256665,
        4.849313243744344,
        4.849331362065108,
        4.849349957183786,
        4.849368075504549,
        4.849386193825312,
        4.849404788943991,
        4.849422907264754,
        4.849441502383432,
        4.849459620704195,
        4.849477739024959,
        4.849496334143637,
        4.8495144524644,
        4.849532570785164,
        4.849551165903842,
        4.849569284224605,
        4.849587402545368,
        4.849605997664047,
        4.84962411598481,
        4.849642711103488,
        4.849660829424251,
        4.849678947745015,
        4.849697542863693,
        4.849715661184456,
        4.849733779505219,
        4.849752374623898,
        4.849770492944661,
        4.849788611265424,
        4.849807206384102,
        4.849825324704866,
        4.8498434430256285,
        4.849862038144307,
        4.84988015646507,
        4.849898274785834,
        4.849916393106597,
        4.849934988225275,
        4.849953106546039,
        4.849971224866802,
        4.84998981998548,
        4.850007938306243,
        4.850026056627007,
        4.8500446517456846,
        4.850062770066448,
        4.850080888387211,
        4.850099006707975,
        4.8501176018266525,
        4.850135720147416,
        4.850153838468179,
        4.850171956788943,
        4.8501905519076205,
        4.850208670228384,
        4.850226788549148,
        4.850245383667826,
        4.850263501988589,
        4.850281620309352,
        4.850299738630116,
        4.850318333748794,
        4.850336452069557,
        4.85035457039032,
        4.850372688711084,
        4.850390807031847,
        4.850409402150525,
        4.850427520471289,
        4.850445638792052,
        4.8504637571128155,
        4.850482352231493,
        4.852944536663646,
        4.85569852141967,
        4.855720454123752,
        4.855741910029919,
        4.855763842734001,
        4.855785298640168,
        4.855806754546335,
        4.855828687250417,
        4.855850143156585,
        4.855871599062751,
        4.855893531766833,
        4.855914987673001,
        4.855936920377082,
        4.855958376283249,
        4.8559798321894165,
        4.856001764893498,
        4.856023220799665,
        4.8560446767058325,
        4.856066609409915,
        4.856088065316081,
        4.8561095212222485,
        4.856131453926331,
        4.856152909832497,
        4.8561743657386645,
        4.856196298442747,
        4.856217754348914,
        4.85623921025508,
        4.856261142959163,
        4.85628259886533,
        4.856304054771496,
        4.856325987475579,
        4.856347443381746,
        4.856368899287913,
        4.856390831991995,
        4.856412287898162,
        4.856433743804329,
        4.856455199710496,
        4.856477132414578,
        4.856498588320745,
        4.8565200442269125,
        4.856541976930994,
        4.856563432837161,
        4.8565848887433285,
        4.856606344649495,
        4.856628277353577,
        4.8566497332597445,
        4.856671189165912,
        4.856692645072078,
        4.8567145777761604,
        4.856736033682328,
        4.856757489588494,
        4.8567789454946615,
        4.856800878198744,
        4.856822334104911,
        4.8568437900110775,
        4.856865245917245,
        4.856886701823412,
        4.856908634527493,
        4.856930090433661,
        4.856951546339828,
        4.856973002245995,
        4.856994458152162,
        4.857016390856244,
        4.857037846762411,
        4.857059302668579,
        4.857080758574745,
        4.857102214480912,
        4.85712367038708,
        4.857145603091161,
        4.857167058997328,
        4.857188514903496,
        4.857209970809663,
        4.857231426715829,
        4.857252882621997,
        4.857274815326079,
        4.857296271232246,
        4.857317727138413,
        4.85733918304458,
        4.857360638950747,
        4.857382094856915,
        4.857403550763081,
        4.857425006669248,
        4.857446939373331,
        4.857468395279498,
        4.857489851185664,
        4.857511307091832,
        4.857532762997999,
        4.857554218904166,
        4.857575674810333,
        4.8575971307165,
        4.857618586622667,
        4.857640042528835,
        4.857661498435001,
        4.857683431139083,
        4.857704887045251,
        4.857726342951417,
        4.857747798857584,
        4.857769254763752,
        4.857790710669919,
        4.857812166576085,
        4.857833622482253,
        4.85785507838842,
        4.857876534294587,
        4.857897990200754,
        4.857919446106921,
        4.8583271083240955,
        4.858348564230263,
        4.85837002013643,
        4.8583914760425975,
        4.858412931948764,
        4.858434387854931,
        4.8584558437610985,
        4.858477299667266,
        4.858498755573432,
        4.858519734681685,
        4.858541190587852,
        4.858562646494019,
        4.858584102400186,
        4.858605558306353,
        4.85862701421252,
        4.858648470118688,
        4.858669926024854,
        4.858691381931021,
        4.858712837837189,
        4.858734293743356,
        4.858755272851608,
        4.858776728757775,
        4.858798184663942,
        4.858819640570109,
        4.858841096476277,
        4.858862552382443,
        4.8588840082886104,
        4.858905464194778,
        4.85892644330303,
        4.858947899209197,
        4.858969355115364,
        4.858990811021531,
        4.8590122669276985,
        4.859033722833865,
        4.859054701942117,
        4.859076157848285,
        4.859097613754452,
        4.859119069660619,
        4.859140525566786,
        4.859161981472953,
        4.859182960581205,
        4.859204416487373,
        4.859225872393539,
        4.859247328299706,
        4.859268784205874,
        4.859289763314126,
        4.859311219220293,
        4.85933267512646,
        4.859354131032627,
        4.8593755869387945,
        4.859396566047047,
        4.859418021953213,
        4.859439477859381,
        4.859460933765548,
        4.8594819128738,
        4.859503368779968,
        4.859524824686134,
        4.859546280592301,
        4.859567259700554,
        4.859588715606721,
        4.859610171512887,
        4.859631627419055,
        4.859652606527307,
        4.859674062433474,
        4.859695518339641,
        4.859716974245808,
        4.859737953354061,
        4.859759409260228,
        4.859780865166395,
        4.859801844274647,
        4.859823300180814,
        4.859844756086981,
        4.859866211993149,
        4.859887191101401,
        4.859908647007567,
        4.859930102913735,
        4.859951082021987,
        4.859972537928154,
        4.859993993834321,
        4.860014972942573,
        4.8600364288487405,
        4.860057884754908,
        4.86007886386316,
        4.860100319769327,
        4.860121775675494,
        4.860142754783746,
        4.860164210689914,
        4.860185666596081,
        4.8602066457043325,
        4.8602281016105,
        4.860249080718752,
        4.8602705366249195,
        4.860291992531087,
        4.860312971639338,
        4.860334427545506,
        4.860355883451673,
        4.860376862559925,
        4.860398318466093,
        4.860419297574344,
        4.860440753480511,
        4.860462209386679,
        4.860483188494931,
        4.8605046444010975,
        4.86052562350935,
        4.860547079415517,
        4.86056805852377,
        4.860589514429937,
        4.860610970336103,
        4.860631949444356,
        4.860653405350523,
        4.860674384458775,
        4.860695840364943,
        4.860716819473195,
        4.8607382753793615,
        4.860759254487614,
        4.860780710393781,
        4.860801689502034,
        4.860823145408201,
        4.860844601314367,
        4.86086558042262,
        4.860887036328787,
        4.860908015437039,
        4.860929471343207,
        4.860950450451458,
        4.8609719063576255,
        4.860992885465878,
        4.861014341372045,
        4.861035320480298,
        4.861056776386464,
        4.861077755494716,
        4.861099211400884,
        4.861120190509136,
        4.861141646415303,
        4.861162625523555,
        4.861183604631807,
        4.861205060537975,
        4.861226039646227,
        4.861247495552394,
        4.861268474660647,
        4.861289930566813,
        4.8613109096750655,
        4.861332365581233,
        4.861353344689485,
        4.8613748005956525,
        4.861395779703904,
        4.861416758812156,
        4.861438214718324,
        4.861459193826576,
        4.861480649732743,
        4.861501628840996,
        4.861522607949247,
        4.861544063855415,
        4.861565042963667,
        4.861586498869834,
        4.861946004497612,
        4.861966983605864,
        4.8619884395120305,
        4.862009418620283,
        4.862030397728535,
        4.862051853634703,
        4.862072832742955,
        4.862093811851207,
        4.862115267757374,
        4.862136246865626,
        4.862157225973879,
        4.862178205082131,
        4.862199660988298,
        4.862220640096551,
        4.862241619204802,
        4.8622630751109694,
        4.862284054219222,
        4.862305033327474,
        4.862326012435727,
        4.862347468341894,
        4.862368447450145,
        4.862389426558398,
        4.86241040566665,
        4.8624318615728175,
        4.86245284068107,
        4.862473819789322,
        4.862494798897574,
        4.862516254803741,
        4.862537233911993,
        4.862558213020246,
        4.862579192128498,
        4.8626006480346655,
        4.862621627142917,
        4.862642606251169,
        4.862663585359422,
        4.862684564467674,
        4.8627060203738415,
        4.862726999482094,
        4.862747978590346,
        4.862768957698598,
        4.86278993680685,
        4.862811392713017,
        4.86283237182127,
        4.862853350929522,
        4.862874330037775,
        4.862895309146026,
        4.862916765052193,
        4.862937744160446,
        4.862958723268698,
        4.8629797023769505,
        4.863000681485203,
        4.863021660593455,
        4.863042639701707,
        4.863064095607874,
        4.8630850747161265,
        4.863106053824379,
        4.863127032932631,
        4.863148012040884,
        4.863168991149135,
        4.8631899702573875,
        4.863211426163555,
        4.863232405271807,
        4.86325338438006,
        4.863274363488312,
        4.863295342596564,
        4.863316321704816,
        4.863337300813068,
        4.863358279921321,
        4.863379259029573,
        4.863400238137825,
        4.863421694043993,
        4.863442673152245,
        4.863463652260497,
        4.863484631368749,
        4.863505610477001,
        4.863526589585254,
        4.863547568693506,
        4.8635685478017585,
        4.863589526910011,
        4.863610506018262,
        4.863631485126515,
        4.863652464234767,
        4.8636734433430195,
        4.863694422451272,
        4.863715401559524,
        4.863736380667777,
        4.863757359776029,
        4.863778338884281,
        4.863799317992533,
        4.863820297100785,
        4.863841276209038,
        4.86386225531729,
        4.8638832344255425,
        4.863904213533795,
        4.863925192642046,
        4.863946171750299,
        4.863967150858551,
        4.8639881299668035,
        4.864009109075056,
        4.864030088183308,
        4.864051067291561,
        4.864072046399813,
        4.8640930255080645,
        4.864114004616317,
        4.864134983724569,
        4.864155962832822,
        4.864176941941074,
        4.8641979210493265,
        4.864218900157579,
        4.86423987926583,
        4.864260858374083,
        4.864281837482335,
        4.8643028165905875,
        4.86432379569884,
        4.864344774807092,
        4.864365753915345,
        4.864386733023596,
        4.864407235333934,
        4.864428214442186,
        4.864449193550438,
        4.864470172658691,
        4.864491151766943,
        4.8645121308751955,
        4.864533109983448,
        4.8645540890917,
        4.864575068199952,
        4.864595570510289,
        4.864616549618542,
        4.864637528726794,
        4.864658507835046,
        4.864679486943299,
        4.864700466051551,
        4.8647214451598035,
        4.864742424268055,
        4.8647629265783925,
        4.864783905686645,
        4.864804884794897,
        4.86482586390315,
        4.864846843011402,
        4.864867822119654,
        4.864888324429992,
        4.864909303538244,
        4.864930282646496,
        4.864951261754748,
        4.8649722408630005,
        4.864993219971253,
        4.86501372228159,
        4.865034701389843,
        4.865055680498095,
        4.8650766596063475,
        4.8650976387146,
        4.865118141024937,
        4.865139120133189,
        4.865160099241441,
        4.865181078349694,
        4.865202057457946,
        4.865222559768283,
        4.8655772974169125,
        4.865598276525165,
        4.865618778835502,
        4.865639757943755,
        4.865660737052007,
        4.8656812393623445,
        4.865702218470597,
        4.865723197578848,
        4.865743699889186,
        4.865764678997438,
        4.865785658105691,
        4.865806637213943,
        4.8658271395242805,
        4.865848118632533,
        4.865869097740785,
        4.865889600051123,
        4.865910579159375,
        4.8659310814697125,
        4.865952060577964,
        4.865973039686216,
        4.865993541996554,
        4.866014521104806,
        4.866035500213059,
        4.866056002523396,
        4.8660769816316485,
        4.866097960739901,
        4.866118463050238,
        4.866139442158491,
        4.866159944468828,
        4.86618092357708,
        4.866201902685332,
        4.8662224049956695,
        4.866243384103922,
        4.866263886414259,
        4.866284865522512,
        4.866305844630764,
        4.8663263469411016,
        4.866347326049354,
        4.866367828359691,
        4.866388807467944,
        4.866409786576195,
        4.866430288886533,
        4.866451267994785,
        4.866471770305123,
        4.866492749413375,
        4.866513251723712,
        4.866534230831965,
        4.866554733142302,
        4.866575712250555,
        4.866596691358807,
        4.8666171936691445,
        4.866638172777397,
        4.866658675087734,
        4.866679654195986,
        4.866700156506323,
        4.866721135614576,
        4.866741637924913,
        4.8667626170331655,
        4.866783119343503,
        4.866804098451755,
        4.866824600762093,
        4.866845579870345,
        4.866866082180683,
        4.866887061288935,
        4.8669075635992725,
        4.866928542707524,
        4.866949045017861,
        4.866970024126114,
        4.866990526436451,
        4.867011505544704,
        4.867032007855041,
        4.8670525101653785,
        4.867073489273631,
        4.867093991583968,
        4.867114970692221,
        4.867135473002558,
        4.867156452110811,
        4.867176954421148,
        4.8671979335294004,
        4.867218435839738,
        4.867238938150075,
        4.867259917258327,
        4.867280419568664,
        4.867301398676917,
        4.867321900987254,
        4.8673428800955065,
        4.867363382405844,
        4.867383884716181,
        4.867404863824434,
        4.867425366134771,
        4.867446345243024,
        4.867466847553361,
        4.867487349863699,
        4.867508328971951,
        4.867528831282288,
        4.867549333592626,
        4.867570312700877,
        4.867590815011215,
        4.867611794119467,
        4.867632296429805,
        4.867652798740142,
        4.8676737778483945,
        4.867694280158732,
        4.867714782469069,
        4.867735761577322,
        4.867756263887659,
        4.867776766197997,
        4.867797745306249,
        4.8678182476165865,
        4.867838749926924,
        4.867859729035176,
        4.867880231345514,
        4.867900733655851,
        4.867921712764103,
        4.86794221507444,
        4.867962717384778,
        4.86798369649303,
        4.8680041988033675,
        4.868024701113705,
        4.8680452034240425,
        4.868066182532295,
        4.868086684842632,
        4.86810718715297,
        4.868128166261222,
        4.86814866857156,
        4.868169170881897,
        4.8681896731922345,
        4.868210652300487,
        4.868231154610824,
        4.868251656921162,
        4.868272159231499,
        4.868293138339752,
        4.868313640650089,
        4.8683341429604265,
        4.868354645270763,
        4.8683756243790155,
        4.868396126689353,
        4.86841662899969,
        4.868437131310028,
        4.868457633620365,
        4.868478612728618,
        4.868499115038955,
        4.868519617349293,
        4.86854011965963,
        4.8685610987678825,
        4.86858160107822,
        4.868602103388557,
        4.868622605698895,
        4.868643108009232,
        4.86866361031957,
        4.868684589427822,
        4.86870509173816,
        4.868725594048497,
        4.8687460963588345,
        4.868766598669172,
        4.868787577777424,
        4.868808080087762,
        4.868828582398099,
        4.868849084708436,
        4.868869587018773,
        4.869198577580002,
        4.86921907989034,
        4.869239582200677,
        4.869260084511015,
        4.869280586821352,
        4.86930108913169,
        4.869322068239942,
        4.8693425705502795,
        4.869363072860617,
        4.869383575170954,
        4.869404077481292,
        4.869424579791629,
        4.869445082101967,
        4.869465584412304,
        4.869486086722642,
        4.869506589032979,
        4.869527091343317,
        4.869547593653654,
        4.8695680959639915,
        4.869588598274329,
        4.8696091005846665,
        4.869629602895003,
        4.8696501052053405,
        4.869670607515678,
        4.869691109826015,
        4.869711612136353,
        4.86973211444669,
        4.869752616757028,
        4.869773119067365,
        4.869793621377703,
        4.86981412368804,
        4.869834625998378,
        4.869855128308715,
        4.8698756306190525,
        4.86989613292939,
        4.869916635239727,
        4.869937137550065,
        4.869957639860402,
        4.86997814217074,
        4.869998644481077,
        4.870019146791415,
        4.870039649101752,
        4.87006015141209,
        4.870080653722427,
        4.8701011560327645,
        4.870121658343102,
        4.870142160653439,
        4.870162662963777,
        4.870182688476199,
        4.870203190786537,
        4.870223693096874,
        4.870244195407212,
        4.870264697717549,
        4.870285200027887,
        4.870305702338224,
        4.870326204648562,
        4.870346706958899,
        4.8703672092692365,
        4.870387711579574,
        4.8704077370919965,
        4.870428239402334,
        4.870448741712671,
        4.870469244023009,
        4.870489746333346,
        4.870510248643684,
        4.870530750954021,
        4.870551253264359,
        4.870571278776781,
        4.870591781087119,
        4.870612283397456,
        4.870632785707794,
        4.870653288018131,
        4.8706737903284685,
        4.870693815840891,
        4.8707143181512285,
        4.870734820461566,
        4.870755322771903,
        4.870775825082241,
        4.870796327392578,
        4.870816352905001,
        4.870836855215338,
        4.870857357525676,
        4.870877859836013,
        4.870898362146351,
        4.870918387658773,
        4.870938889969111,
        4.870959392279448,
        4.8709798945897855,
        4.871000396900123,
        4.8710204224125455,
        4.871040924722883,
        4.87106142703322,
        4.871081929343558,
        4.871102431653895,
        4.871122457166318,
        4.871142959476655,
        4.871163461786993,
        4.87118396409733,
        4.871203989609753,
        4.87122449192009,
        4.871244994230428,
        4.871265496540765,
        4.871285522053188,
        4.871306024363525,
        4.871326526673863,
        4.871346552186285,
        4.8713670544966226,
        4.87138755680696,
        4.8714080591172975,
        4.87142808462972,
        4.8714485869400574,
        4.871469089250395,
        4.871489114762817,
        4.871509617073155,
        4.871530119383492,
        4.87155062169383,
        4.871570647206252,
        4.87159114951659,
        4.871611651826927,
        4.871631677339351,
        4.871652179649688,
        4.871672681960026,
        4.871692707472448,
        4.8717132097827855,
        4.871733712093123,
        4.8717537376055455,
        4.871774239915883,
        4.87179474222622,
        4.871814767738643,
        4.87183527004898,
        4.871855772359318,
        4.87187579787174,
        4.871896300182078,
        4.8719163256945,
        4.871936828004838,
        4.871957330315175,
        4.871977355827598,
        4.871997858137935,
        4.872018360448273,
        4.872038385960695,
        4.872058888271033,
        4.872078913783455,
        4.872099416093793,
        4.87211991840413,
        4.872139943916553,
        4.87216044622689,
        4.872180471739313,
        4.87220097404965,
        4.872220999562073,
        4.87224150187241,
        4.872262004182748,
        4.87228202969517,
        4.872302532005508,
        4.87232255751793,
        4.8723430598282675,
        4.872363085340691,
        4.872383587651028,
        4.872403613163451,
        4.872424115473788,
        4.872444617784126,
        4.872464643296548,
        4.872485145606886,
        4.872505171119308,
        4.872809368188966,
        4.872829393701388,
        4.872849896011726,
        4.872869921524149,
        4.872890423834487,
        4.872910449346909,
        4.8729309516572465,
        4.872950977169669,
        4.872971002682092,
        4.872991504992429,
        4.873011530504852,
        4.873032032815189,
        4.873052058327612,
        4.873072560637949,
        4.8730925861503716,
        4.873112611662794,
        4.8731331139731315,
        4.873153139485554,
        4.8731736417958915,
        4.873193667308314,
        4.8732141696186515,
        4.873234195131074,
        4.8732542206434974,
        4.873274722953834,
        4.873294748466257,
        4.873315250776595,
        4.873335276289017,
        4.87335530180144,
        4.873375804111777,
        4.8733958296242,
        4.8734158551366225,
        4.87343635744696,
        4.873456382959382,
        4.87347688526972,
        4.873496910782142,
        4.873516936294565,
        4.873537438604902,
        4.873557464117325,
        4.8735774896297475,
        4.873597991940085,
        4.8736180174525074,
        4.873638042964931,
        4.873658545275268,
        4.873678570787691,
        4.873698596300113,
        4.873719098610451,
        4.873739124122873,
        4.873759149635296,
        4.873779651945633,
        4.873799677458056,
        4.873819702970478,
        4.873840205280816,
        4.873860230793238,
        4.873880256305661,
        4.873900281818083,
        4.873920784128421,
        4.873940809640843,
        4.873960835153267,
        4.873981337463604,
        4.874001362976027,
        4.874021388488449,
        4.874041414000872,
        4.874061916311209,
        4.874081941823632,
        4.874101967336054,
        4.874121992848477,
        4.874142495158814,
        4.874162520671237,
        4.874182546183659,
        4.874202571696082,
        4.874223074006419,
        4.874243099518843,
        4.874263125031265,
        4.874283150543688,
        4.874303652854025,
        4.874323678366448,
        4.87434370387887,
        4.874363729391293,
        4.8743837549037154,
        4.874404257214053,
        4.874424282726475,
        4.874444308238898,
        4.8744643337513205,
        4.874484359263743,
        4.8745048615740805,
        4.874524887086504,
        4.874544912598926,
        4.874564938111349,
        4.8745849636237715,
        4.874605465934109,
        4.8746254914465315,
        4.874645516958954,
        4.8746655424713765,
        4.874685567983799,
        4.874705593496222,
        4.874725619008644,
        4.8747461213189816,
        4.874766146831405,
        4.8747861723438275,
        4.87480619785625,
        4.8748262233686726,
        4.874846248881095,
        4.874866274393518,
        4.874886776703855,
        4.874906802216278,
        4.8749268277287,
        4.874946853241123,
        4.874966878753545,
        4.874986904265968,
        4.875006929778391,
        4.875026955290814,
        4.875046980803236,
        4.875067483113574,
        4.875087508625996,
        4.875107534138419,
        4.875127559650841,
        4.875147585163264,
        4.875167610675686,
        4.875187636188109,
        4.875207661700531,
        4.875227687212955,
        4.875247712725377,
        4.8752677382378,
        4.875287763750222,
        4.875307789262645,
        4.875327814775067,
        4.875348317085405,
        4.875368342597827,
        4.87538836811025,
        4.875408393622672,
        4.875428419135095,
        4.875448444647518,
        4.875468470159941,
        4.875488495672363,
        4.875508521184786,
        4.8755285466972085,
        4.875548572209631,
        4.8755685977220535,
        4.875588623234476,
        4.875608648746899,
        4.875628674259321,
        4.8756486997717445,
        4.875668725284167,
        4.87568875079659,
        4.875708776309012,
        4.875728801821435,
        4.875748827333857,
        4.87576885284628,
        4.875788878358702,
        4.875808903871125,
        4.875828929383547,
        4.875848954895971,
        4.875868980408393,
        4.875889005920816,
        4.875908554635323,
        4.875928580147746,
        4.875948605660168,
        4.875968631172591,
        4.8759886566850135,
        4.876008682197436,
        4.876028707709859,
        4.876048733222282,
        4.8760687587347045,
        4.876088784247127,
        4.8761088097595495,
        4.876128835271972,
        4.876148860784395,
        4.876168886296817,
        4.876188435011325,
        4.876448289874904,
        4.876468315387327,
        4.8764883408997495,
        4.876507889614257,
        4.87652791512668,
        4.876547940639102,
        4.8765679661515255,
        4.876587991663948,
        4.876608017176371,
        4.876627565890878,
        4.876647591403301,
        4.876667616915723,
        4.876687642428146,
        4.876707667940568,
        4.876727693452991,
        4.876747242167499,
        4.876767267679922,
        4.876787293192344,
        4.876807318704767,
        4.876827344217189,
        4.876846892931697,
        4.87686691844412,
        4.876886943956543,
        4.8769069694689655,
        4.876926994981388,
        4.876946543695896,
        4.876966569208318,
        4.876986594720741,
        4.877006620233163,
        4.877026168947671,
        4.877046194460094,
        4.877066219972517,
        4.877086245484939,
        4.877105794199447,
        4.877125819711869,
        4.877145845224292,
        4.8771658707367145,
        4.877185419451222,
        4.8772054449636455,
        4.877225470476068,
        4.8772454959884906,
        4.877265044702998,
        4.877285070215421,
        4.877305095727843,
        4.877324644442351,
        4.877344669954774,
        4.877364695467197,
        4.877384720979619,
        4.877404269694127,
        4.877424295206549,
        4.877444320718972,
        4.8774638694334795,
        4.877483894945902,
        4.8775039204583255,
        4.877523469172833,
        4.877543494685256,
        4.877563520197678,
        4.877583068912186,
        4.877603094424608,
        4.877623119937031,
        4.877642668651539,
        4.877662694163962,
        4.877682719676384,
        4.877702268390892,
        4.8777222939033145,
        4.877742319415737,
        4.877761868130245,
        4.877781893642668,
        4.877801442357176,
        4.877821467869598,
        4.877841493382021,
        4.877861042096528,
        4.877881067608951,
        4.877901093121373,
        4.877920641835882,
        4.877940667348304,
        4.877960216062812,
        4.8779802415752345,
        4.878000267087657,
        4.878019815802165,
        4.878039841314587,
        4.878059390029096,
        4.878079415541518,
        4.878099441053941,
        4.878118989768448,
        4.878139015280871,
        4.878158563995378,
        4.878178589507801,
        4.878198138222309,
        4.878218163734732,
        4.8782381892471545,
        4.878257737961662,
        4.878277763474085,
        4.878297312188592,
        4.878317337701015,
        4.878336886415523,
        4.878356911927946,
        4.878376460642453,
        4.878396486154876,
        4.8784160348693835,
        4.878436060381806,
        4.8784556090963145,
        4.878475634608737,
        4.878495183323245,
        4.878515208835667,
        4.87853523434809,
        4.878554783062597,
        4.87857480857502,
        4.878594357289528,
        4.878614382801951,
        4.878633931516458,
        4.878653480230966,
        4.8786735057433885,
        4.878693054457897,
        4.8787130799703196,
        4.878732628684827,
        4.87875265419725,
        4.878772202911757,
        4.87879222842418,
        4.878811777138687,
        4.878831802651111,
        4.878851351365618,
        4.878871376878041,
        4.8788909255925486,
        4.878910951104971,
        4.878930499819479,
        4.878950048533987,
        4.87897007404641,
        4.878989622760917,
        4.87900964827334,
        4.879029196987847,
        4.87904922250027,
        4.879068771214778,
        4.879088319929286,
        4.879108345441709,
        4.879127894156216,
        4.879147919668639,
        4.879167468383146,
        4.879187017097655,
        4.879207042610077,
        4.879226591324585,
        4.8792466168370074,
        4.879266165551515,
        4.8792857142660235,
        4.879305739778446,
        4.879325288492954,
        4.879344837207461,
        4.879364862719884,
        4.879384411434391,
        4.879404436946814,
        4.879423985661322,
        4.87944353437583,
        4.8794635598882525,
        4.87948310860276,
        4.879502657317268,
        4.879522682829691,
        4.879542231544199,
        4.879561780258706,
        4.879581805771129,
        4.8796013544856365,
        4.879620903200144,
        4.8796409287125675,
        4.879660477427075,
        4.879680026141583,
        4.879700051654005,
        4.879719600368513,
        4.879739149083021,
        4.879758697797529,
        4.879778723309951,
        4.879798272024459,
        4.879817820738967,
        4.880054312504719,
        4.880073861219228,
        4.880093409933735,
        4.880112958648243,
        4.8801329841606655,
        4.880152532875173,
        4.880172081589682,
        4.880191630304189,
        4.880211655816612,
        4.880231204531119,
        4.880250753245627,
        4.8802703019601354,
        4.880289850674643,
        4.880309876187066,
        4.880329424901573,
        4.880348973616081,
        4.880368522330589,
        4.880388071045097,
        4.880408096557519,
        4.880427645272027,
        4.880447193986535,
        4.880466742701043,
        4.880486291415551,
        4.880505840130058,
        4.880525865642481,
        4.880545414356988,
        4.880564963071496,
        4.8805845117860045,
        4.880604060500512,
        4.88062360921502,
        4.880643634727442,
        4.88066318344195,
        4.880682732156458,
        4.880702280870966,
        4.8807218295854735,
        4.880741378299981,
        4.88076092701449,
        4.880780952526912,
        4.88080050124142,
        4.880820049955927,
        4.880839598670435,
        4.8808591473849425,
        4.880878696099451,
        4.880898244813959,
        4.880917793528466,
        4.880937819040889,
        4.880957367755396,
        4.880976916469905,
        4.880996465184412,
        4.88101601389892,
        4.881035562613428,
        4.881055111327936,
        4.881074660042444,
        4.881094208756951,
        4.881113757471459,
        4.8811333061859665,
        4.881152854900475,
        4.881172403614983,
        4.881192429127405,
        4.881211977841913,
        4.88123152655642,
        4.881251075270929,
        4.881270623985436,
        4.881290172699944,
        4.881309721414452,
        4.881329270128959,
        4.881348818843468,
        4.881368367557975,
        4.881387916272483,
        4.8814074649869905,
        4.881427013701499,
        4.881446562416007,
        4.881466111130514,
        4.881485659845022,
        4.881505208559529,
        4.881524757274038,
        4.8815443059885455,
        4.881563854703053,
        4.881583403417561,
        4.881602952132068,
        4.881622500846577,
        4.881642049561084,
        4.881661598275592,
        4.8816811469901,
        4.881700695704608,
        4.881720244419116,
        4.881739793133623,
        4.881759341848131,
        4.8817788905626385,
        4.881798439277147,
        4.881817987991655,
        4.881837536706162,
        4.88185708542067,
        4.881876634135177,
        4.881896182849686,
        4.8819152547662785,
        4.881934803480786,
        4.881954352195294,
        4.881973900909802,
        4.88199344962431,
        4.882012998338817,
        4.882032547053325,
        4.8820520957678335,
        4.882071644482341,
        4.882091193196849,
        4.882110741911356,
        4.882130290625864,
        4.8821493625424575,
        4.882168911256965,
        4.882188459971473,
        4.88220800868598,
        4.882227557400489,
        4.882247106114996,
        4.882266654829504,
        4.8822862035440115,
        4.882305752258519,
        4.882324824175113,
        4.88234437288962,
        4.882363921604128,
        4.8823834703186355,
        4.882403019033144,
        4.882422567747652,
        4.882442116462159,
        4.882461188378752,
        4.88248073709326,
        4.882500285807768,
        4.882519834522276,
        4.882539383236783,
        4.882558931951292,
        4.882578003867884,
        4.882597552582392,
        4.8826171012968995,
        4.882636650011407,
        4.882656198725916,
        4.882675747440423,
        4.882694819357016,
        4.8827143680715235,
        4.882733916786032,
        4.88275346550054,
        4.882773014215047,
        4.88279208613164,
        4.882811634846148,
        4.882831183560656,
        4.8828507322751635,
        4.882869804191756,
        4.882889352906265,
        4.882908901620772,
        4.88292845033528,
        4.8829479990497875,
        4.882967070966381,
        4.882986619680889,
        4.883006168395396,
        4.883025717109904,
        4.883044789026497,
        4.883064337741005,
        4.883083886455513,
        4.88310343517002,
        4.883122507086614,
        4.883142055801121,
        4.883161604515629,
        4.883180676432222,
        4.88320022514673,
        4.883219773861238,
        4.883239322575745,
        4.883258394492338,
        4.8832779432068465,
        4.883297491921354,
        4.883316563837947,
        4.883336112552454,
        4.883355661266963,
        4.8833752099814705,
        4.883394281898063,
        4.883413830612571,
        4.883433379327079,
        4.883452451243672,
        4.8834719999581795,
        4.883685128626106,
        4.883704677340614,
        4.883724226055121,
        4.883743297971715,
        4.883762846686222,
        4.883781918602815,
        4.883801467317323,
        4.883821016031831,
        4.883840087948424,
        4.883859636662931,
        4.883878708579525,
        4.883898257294033,
        4.88391780600854,
        4.883936877925133,
        4.883956426639641,
        4.883975498556234,
        4.883995047270742,
        4.884014595985249,
        4.884033667901843,
        4.88405321661635,
        4.884072288532943,
        4.884091837247451,
        4.884111385961959,
        4.884130457878552,
        4.884150006593059,
        4.884169078509652,
        4.884188627224161,
        4.884207699140753,
        4.884227247855261,
        4.884246319771854,
        4.884265868486362,
        4.88428541720087,
        4.884304489117462,
        4.884324037831971,
        4.8843431097485634,
        4.884362658463071,
        4.884381730379664,
        4.884401279094172,
        4.884420351010765,
        4.8844398997252725,
        4.884458971641866,
        4.884478520356374,
        4.884497592272966,
        4.884517140987474,
        4.8845362129040675,
        4.884555761618575,
        4.884574833535168,
        4.884594382249675,
        4.884613454166269,
        4.8846330028807765,
        4.884652074797369,
        4.884671623511878,
        4.88469069542847,
        4.884710244142978,
        4.884729316059571,
        4.884748864774079,
        4.884767936690672,
        4.8847870086072644,
        4.884806557321772,
        4.884825629238366,
        4.884845177952873,
        4.884864249869466,
        4.884883798583974,
        4.884902870500567,
        4.884922419215075,
        4.884941491131667,
        4.884960563048261,
        4.8849801117627685,
        4.884999183679361,
        4.88501873239387,
        4.885037804310462,
        4.88505735302497,
        4.885076424941563,
        4.885095496858156,
        4.885115045572664,
        4.885134117489256,
        4.885153666203765,
        4.885172738120358,
        4.88519181003695,
        4.885211358751458,
        4.885230430668051,
        4.885249502584644,
        4.885269051299152,
        4.885288123215745,
        4.885307671930253,
        4.8853267438468455,
        4.885345815763439,
        4.885365364477947,
        4.885384436394539,
        4.885403508311132,
        4.8854230570256405,
        4.885442128942233,
        4.885461200858826,
        4.885480749573334,
        4.885499821489927,
        4.88551889340652,
        4.885538442121027,
        4.885557514037621,
        4.8855765859542135,
        4.885596134668721,
        4.885615206585315,
        4.885634278501907,
        4.885653827216415,
        4.885672899133008,
        4.885691971049601,
        4.885711519764109,
        4.8857305916807015,
        4.885749663597295,
        4.885769212311803,
        4.885788284228395,
        4.886095342085542,
        4.886114414002135,
        4.886133962716643,
        4.886153034633236,
        4.886172106549829,
        4.886191178466422,
        4.886210250383015,
        4.8862297990975225,
        4.886248871014116,
        4.886267942930709,
        4.886287014847301,
        4.886306086763895,
        4.886325635478403,
        4.886344707394995,
        4.886363779311588,
        4.8863828512281815,
        4.886401923144774,
        4.886421471859282,
        4.886440543775875,
        4.886459615692468,
        4.886478687609061,
        4.886497759525654,
        4.886517308240162,
        4.8865363801567545,
        4.886555452073348,
        4.886574523989941,
        4.886593595906533,
        4.886612667823127,
        4.88663173973972,
        4.886651288454227,
        4.88667036037082,
        4.8866894322874135,
        4.886708504204006,
        4.886727576120599,
        4.886746648037192,
        4.886765719953785,
        4.886785268668293,
        4.886804340584886,
        4.886823412501479,
        4.886842484418072,
        4.886861556334665,
        4.886880628251258,
        4.8868997001678505,
        4.886918772084444,
        4.886937844001037,
        4.886957392715544,
        4.886976464632137,
        4.8869955365487305,
        4.887014608465323,
        4.887033680381916,
        4.887052752298509,
        4.887071824215102,
        4.887090896131695,
        4.887109968048288,
        4.887129039964881,
        4.887148111881474,
        4.887339307845319,
        4.887358379761912,
        4.887377451678504,
        4.887396523595098,
        4.8874155955116905,
        4.887434667428283,
        4.887453739344877,
        4.887472811261469,
        4.887491883178062,
        4.887510955094656,
        4.887530027011248,
        4.887549098927841,
        4.8875681708444345,
        4.887587242761027,
        4.88760631467762,
        4.887625386594213,
        4.887644458510806,
        4.887663530427399,
        4.887682602343992,
        4.887701674260585,
        4.887720746177178,
        4.887739818093771,
        4.887758890010364,
        4.887777961926957,
        4.88779703384355,
        4.887816105760143,
        4.8878351776767355,
        4.887853772795414,
        4.887872844712007,
        4.8878919166285995,
        4.887910988545193,
        4.887930060461786,
        4.887949132378378,
        4.887968204294972,
        4.887987276211565,
        4.888006348128157,
        4.888025420044751,
        4.8880444919613435,
        4.888063563877936,
        4.88808263579453,
        4.8881012309132075,
        4.888120302829801,
        4.888139374746394,
        4.888158446662986,
        4.88817751857958,
        4.888196590496173,
        4.888215662412765,
        4.888234734329359,
        4.8882538062459515,
        4.888272401364629,
        4.888291473281223,
        4.8883105451978155,
        4.888329617114408,
        4.888348689031002,
        4.888367760947594,
        4.888386832864187,
        4.888405904780781,
        4.888424499899458,
        4.888443571816051,
        4.888462643732645,
        4.888481715649237,
        4.88850078756583,
        4.8885198594824235,
        4.888538454601101,
        4.888557526517695,
        4.8885765984342875,
        4.88859567035088,
        4.888614742267474,
        4.888633814184066,
        4.888652409302744,
        4.888671481219338,
        4.88869055313593,
        4.888709625052523,
        4.888728696969117,
        4.888747292087794,
        4.888766364004387,
        4.888785435920981,
        4.888804507837573,
        4.888823579754166,
        4.888842174872845,
        4.888861246789437,
        4.888880318706031,
        4.8888993906226235,
        4.888917985741301,
        4.888937057657895,
        4.888956129574487,
        4.88897520149108,
        4.888993796609759,
        4.889012868526351,
        4.889031940442944,
        4.889051012359538,
        4.889069607478215,
        4.889088679394809,
        4.889107751311402,
        4.889126823227994,
        4.889145418346673,
        4.889164490263266,
        4.889183562179858,
        4.889202634096452,
        4.88922122921513,
        4.889240301131722,
        4.889259373048316,
        4.889277968166994,
        4.889297040083587,
        4.88931611200018,
        4.8893351839167725,
        4.889353779035451,
        4.889372850952044,
        4.889391922868636,
        4.889410517987315,
        4.889429589903908,
        4.889448661820501,
        4.889467256939179,
        4.889486328855772,
        4.889505400772365,
        4.889523995891043,
        4.889543067807636,
        4.889562139724229,
        4.889580734842907,
        4.889599806759501,
        4.889618878676093,
        4.889637473794771,
        4.8896565457113645,
        4.889675617627957,
        4.889694212746635,
        4.8897132846632285,
        4.889732356579821,
        4.8897509516985,
        4.8897700236150925,
        4.88978861873377,
        4.889807690650364,
        4.8898267625669565,
        4.889845357685634,
        4.889864429602228,
        4.8898835015188205,
        4.889902096637499,
        4.889921168554092,
        4.8899397636727695,
        4.889958835589363,
        4.889977907505956,
        4.8899965026246335,
        4.890015574541227,
        4.890034169659905,
        4.890053241576498,
        4.890071836695176,
        4.890090908611769,
        4.890109980528362,
        4.89012857564704,
        4.890147647563633,
        4.890166242682311,
        4.890185314598904,
        4.890203909717583,
        4.890222981634175,
        4.890242053550768,
        4.890260648669447,
        4.890279720586039,
        4.890298315704718,
        4.890317387621311,
        4.890335982739988,
        4.890355054656582,
        4.89037364977526,
        4.890392721691852,
        4.890411316810531,
        4.890430388727124,
        4.890448983845802,
        4.890468055762395,
        4.890486650881073,
        4.890505722797666,
        4.890524317916344,
        4.890543389832938,
        4.890561984951615,
        4.890581056868208,
        4.890599651986887,
        4.890618723903479,
        4.890637319022158,
        4.890656390938751,
        4.890674986057428,
        4.890694057974022,
        4.8907126530927,
        4.890731725009293,
        4.890750320127971,
        4.890769392044564,
        4.890938655304327,
        4.890957250423004,
        4.890976322339598,
        4.890994917458276,
        4.891013512576954,
        4.891032584493547,
        4.891051179612225,
        4.891070251528818,
        4.891088846647496,
        4.891107918564089,
        4.891126513682767,
        4.891145108801445,
        4.891164180718039,
        4.891182775836716,
        4.891201847753309,
        4.891220442871988,
        4.891239037990665,
        4.891258109907259,
        4.891276705025937,
        4.891295300144615,
        4.891314372061208,
        4.891332967179886,
        4.891352039096479,
        4.891370634215157,
        4.891389229333836,
        4.891408301250428,
        4.891426896369106,
        4.891445491487785,
        4.891464563404377,
        4.891483158523056,
        4.891501753641734,
        4.8915208255583265,
        4.891539420677005,
        4.891558015795683,
        4.891577087712276,
        4.891595682830954,
        4.891614277949633,
        4.8916333498662254,
        4.892512565221161,
        4.892531637137754,
        4.892550232256433,
        4.8925688273751105,
        4.892587422493788,
        4.892606017612467,
        4.892624612731145,
        4.892643207849823,
        4.892662279766416,
        4.8926808748850945,
        4.892699470003772,
        4.89271806512245,
        4.892736660241129,
        4.892755255359806,
        4.892773850478485,
        4.892792922395078,
        4.892811517513756,
        4.892830112632434,
        4.892848707751112,
        4.89286730286979,
        4.892885897988468,
        4.892904493107147,
        4.892923088225825,
        4.892942160142418,
        4.892960755261096,
        4.8929793503797745,
        4.892997945498452,
        4.89301654061713,
        4.893035135735809,
        4.893053730854486,
        4.893072325973165,
        4.893090921091843,
        4.893109516210521,
        4.893128111329199,
        4.893147183245792,
        4.89316577836447,
        4.893184373483148,
        4.893202968601827,
        4.8932215637205045,
        4.893240158839183,
        4.893258753957861,
        4.8932773490765396,
        4.893295944195217,
        4.893314539313895,
        4.893333134432574,
        4.893351729551251,
        4.89337032466993,
        4.893388919788608,
        4.893407514907286,
        4.893426110025964,
        4.893444705144643,
        4.8934633002633205,
        4.893481895381999,
        4.893500490500677,
        4.893519085619355,
        4.893537680738033,
        4.893556275856711,
        4.89357487097539,
        4.893593466094067,
        4.893612061212746,
        4.893630656331424,
        4.893649251450102,
        4.89366784656878,
        4.893686441687458,
        4.8937050368061366,
        4.893723631924814,
        4.893742227043493,
        4.893760822162171,
        4.893779417280849,
        4.893798012399527,
        4.893816607518206,
        4.893835202636883,
        4.893853797755562,
        4.89387239287424,
        4.8938909879929176,
        4.893909583111596,
        4.893928178230274,
        4.893946773348953,
        4.89396536846763,
        4.893983963586309,
        4.894002558704987,
        4.89402067702575,
        4.894039272144428,
        4.894057867263107,
        4.8940764623817845,
        4.894095057500462,
        4.894113652619141,
        4.894132247737819,
        4.894150842856497,
        4.894169437975175,
        4.894188033093854,
        4.894206628212531,
        4.894224746533295,
        4.894243341651973,
        4.8942619367706515,
        4.894280531889329,
        4.894299127008008,
        4.894317722126686,
        4.894336317245363,
        4.894354912364042,
        4.89437350748272,
        4.894391625803483,
        4.894410220922161,
        4.89442881604084,
        4.8944474111595175,
        4.894466006278196,
        4.894539909954994,
        4.894558505073672,
        4.89457710019235,
        4.894595695311028,
        4.894614290429706,
        4.89463240875047,
        4.894651003869147,
        4.894669598987826,
        4.894688194106504,
        4.894706789225182,
        4.89472538434386,
        4.894743502664624,
        4.8947620977833015,
        4.89478069290198,
        4.894799288020658,
        4.8948178831393365,
        4.894836001460099,
        4.894854596578778,
        4.894873191697456,
        4.894891786816134,
        4.894909905136897,
        4.894928500255576,
        4.8949470953742535,
        4.894965690492931,
        4.89498428561161,
        4.895002403932373,
        4.895020999051051,
        4.895039594169729,
        4.895058189288408,
        4.895076307609171,
        4.895094902727849,
        4.895113497846527,
        4.895132092965206,
        4.895150211285968,
        4.895168806404647,
        4.895187401523325,
        4.895205996642003,
        4.895224114962766,
        4.895242710081445,
        4.895261305200123,
        4.895279900318801,
        4.895298018639564,
        4.895316613758243,
        4.89533520887692,
        4.895353327197684,
        4.895371922316362,
        4.89539051743504,
        4.895408635755803,
        4.895427230874481,
        4.89544582599316,
        4.895464421111837,
        4.895482539432601,
        4.895501134551279,
        4.8955197296699575,
        4.89553784799072,
        4.895556443109399,
        4.895575038228077,
        4.89559315654884,
        4.895611751667518,
        4.895630346786197,
        4.89564846510696,
        4.895667060225638,
        4.895685655344316,
        4.89570377366508,
        4.895722368783757,
        4.895740963902436,
        4.895759082223199,
        4.8957776773418775,
        4.895796272460555,
        4.895814390781319,
        4.895832985899997,
        4.89585110422076,
        4.895869699339438,
        4.895888294458117,
        4.89590641277888,
        4.895925007897558,
        4.895943603016236,
        4.895961721337,
        4.895980316455677,
        4.895998434776441,
        4.896017029895119,
        4.8960356250137975,
        4.89605374333456,
        4.896072338453239,
        4.896090456774002,
        4.898763385884507,
        4.901767212747899,
        4.901788668654066,
        4.9018106013581475,
        4.90183253406223,
        4.901854466766312,
        4.901876399470393,
        4.901898332174476,
        4.901919788080643,
        4.901941720784724,
        4.9019636534888065,
        4.901985586192889,
        4.90200751889697,
        4.902029451601052,
        4.90205090750722,
        4.902072840211301,
        4.902094772915383,
        4.9021167056194646,
        4.902138638323547,
        4.902160094229714,
        4.9021820269337955,
        4.902203959637878,
        4.90222589234196,
        4.902247825046041,
        4.902269280952209,
        4.902291213656291,
        4.902313146360372,
        4.902335079064454,
        4.902356534970622,
        4.902378467674703,
        4.902400400378785,
        4.902422333082868,
        4.902443788989034,
        4.902465721693116,
        4.9024876543971985,
        4.90250958710128,
        4.902531043007447,
        4.902552975711529,
        4.902574908415611,
        4.902596364321778,
        4.90261829702586,
        4.902640229729942,
        4.902662162434024,
        4.902683618340191,
        4.9027055510442725,
        4.902727483748355,
        4.902748939654522,
        4.902770872358603,
        4.902792805062686,
        4.902814260968853,
        4.902836193672934,
        4.902858126377017,
        4.902879582283184,
        4.902901514987265,
        4.9029234476913475,
        4.902944903597515,
        4.902966836301596,
        4.902988769005678,
        4.903010224911846,
        4.903032157615927,
        4.903054090320009,
        4.903075546226177,
        4.903097478930258,
        4.90311941163434,
        4.9031408675405075,
        4.903162800244589,
        4.903184256150756,
        4.903206188854838,
        4.90322812155892,
        4.903249577465087,
        4.903271510169169,
        4.903292966075337,
        4.903314898779418,
        4.9033368314835,
        4.9033582873896675,
        4.903380220093749,
        4.903401675999916,
        4.903423608703998,
        4.90344554140808,
        4.903466997314247,
        4.903488930018329,
        4.903510385924496,
        4.903532318628578,
        4.903553774534745,
        4.903575707238827,
        4.903597163144994,
        4.903619095849076,
        4.9036405517552435,
        4.903662484459325,
        4.903684417163407,
        4.903705873069574,
        4.903727805773656,
        4.903749261679823,
        4.903771194383905,
        4.903792650290072,
        4.903814582994154,
        4.903836038900321,
        4.903857971604403,
        4.90387942751057,
        4.903901360214652,
        4.903922816120819,
        4.903944748824901,
        4.903966204731068,
        4.90398813743515,
        4.904009593341317,
        4.904031526045399,
        4.904052981951566,
        4.904074437857733,
        4.904096370561815,
        4.904117826467982,
        4.904139759172064,
        4.904161215078231,
        4.904183147782313,
        4.9042046036884805,
        4.904226536392562,
        4.904247992298729,
        4.9042699250028114,
        4.904291380908978,
        4.904312836815145,
        4.904334769519227,
        4.904356225425394,
        4.904378158129476,
        4.904399614035643,
        4.904421069941811,
        4.904443002645892,
        4.904464458552059,
        4.904486391256142,
        4.904507847162308,
        4.904529303068475,
        4.904551235772558,
        4.904572691678724,
        4.904594624382806,
        4.904616080288974,
        4.904637536195141,
        4.904659468899222,
        4.9046809248053895,
        4.904702380711557,
        4.904724313415638,
        4.9047457693218055,
        4.904767225227973,
        4.904789157932054,
        4.9048106138382215,
        4.904832069744389,
        4.904854002448471,
        4.9048754583546375,
        4.904896914260805,
        4.904918846964887,
        4.904940302871053,
        4.904961758777221,
        4.904983691481303,
        4.90500514738747,
        4.905026603293637,
        4.905048535997719,
        4.905069991903886,
        4.905091447810054,
        4.90511290371622,
        4.905134836420302,
        4.9051562923264695,
        4.905177748232636,
        4.905199680936718,
        4.9052211368428855,
        4.905242592749053,
        4.905264048655219,
        4.9052859813593015,
        4.905307437265469,
        4.905328893171635,
        4.9053503490778025,
        4.905372281781885,
        4.905393737688052,
        4.9054151935942185,
        4.905436649500386,
        4.905458582204468,
        4.9054800381106345,
        4.905501494016802,
        4.905522949922969,
        4.905544405829136,
        4.905566338533218,
        4.905587794439385,
        4.905609250345552,
        4.90563070625172,
        4.905652162157886,
        4.905674094861968,
        4.905695550768136,
        4.905717006674302,
        4.905738462580469,
        4.905759918486637,
        4.905781851190719,
        4.905803307096885,
        4.905824763003053,
        4.90584621890922,
        4.905867674815387,
        4.905889130721554,
        4.905911063425636,
        4.905932519331803,
        4.90595397523797,
        4.905975431144137,
        4.905996887050304,
        4.906018342956472,
        4.906039798862638,
        4.90606173156672,
        4.906083187472888,
        4.906104643379055,
        4.906126099285221,
        4.906147555191389,
        4.906169011097556,
        4.906190467003723,
        4.90621192290989,
        4.906233378816057,
        4.906254834722224,
        4.906276767426306,
        4.906298223332473,
        4.90631967923864,
        4.906341135144808,
        4.906362591050974,
        4.906384046957141,
        4.906405502863309,
        4.906426958769476,
        4.906448414675642,
        4.90646987058181,
        4.906491326487977,
        4.906512782394144,
        4.906534238300311,
        4.906555694206478,
        4.906577150112645,
        4.906598606018813,
        4.906620538722894,
        4.906641994629061,
        4.906663450535229,
        4.906684906441396,
        4.906706362347562,
        4.90672781825373,
        4.906749274159897,
        4.906770730066064,
        4.906792185972231,
        4.906813641878398,
        4.906835097784565,
        4.906856553690733,
        4.906878009596899,
        4.906899465503066,
        4.906920921409234,
        4.906942377315401,
        4.9069638332215675,
        4.90698481232982,
        4.907006268235987,
        4.9070277241421545,
        4.907049180048321,
        4.907070635954488,
        4.9070920918606555,
        4.907113547766823,
        4.907135003672989,
        4.907156459579157,
        4.907177915485324,
        4.907199371391491,
        4.907220827297658,
        4.907242283203825,
        4.907263739109992,
        4.90728519501616,
        4.907306650922326,
        4.907327630030578,
        4.907349085936746,
        4.907370541842913,
        4.90739199774908,
        4.907712882745757,
        4.907734338651924,
        4.907755794558091,
        4.907777250464258,
        4.907798706370425,
        4.907819685478677,
        4.907841141384845,
        4.907862597291011,
        4.907884053197178,
        4.907905509103346,
        4.907926965009513,
        4.9079479441177645,
        4.907969400023932,
        4.907990855930099,
        4.908012311836266,
        4.908033290944519,
        4.908054746850685,
        4.9080762027568525,
        4.90809765866302,
        4.908119114569187,
        4.908140093677439,
        4.908161549583606,
        4.908183005489773,
        4.908204461395941,
        4.908225440504193,
        4.908246896410359,
        4.908268352316527,
        4.908289808222694,
        4.908310787330946,
        4.908332243237113,
        4.90835369914328,
        4.908375155049447,
        4.9083961341577,
        4.908417590063867,
        4.9084390459700336,
        4.908460501876201,
        4.908481480984453,
        4.908502936890621,
        4.908524392796787,
        4.908545371905039,
        4.908566827811207,
        4.908588283717374,
        4.908609262825626,
        4.908630718731793,
        4.90865217463796,
        4.908673630544127,
        4.90869460965238,
        4.908716065558547,
        4.9087375214647135,
        4.908758500572966,
        4.908779956479133,
        4.9088014123853005,
        4.908822391493552,
        4.908843847399719,
        4.908864826507972,
        4.908886282414139,
        4.908907738320306,
        4.908928717428558,
        4.908950173334725,
        4.9089716292408925,
        4.908992608349145,
        4.909014064255312,
        4.909035520161479,
        4.909056499269731,
        4.909077955175898,
        4.909098934284151,
        4.909120390190318,
        4.909141846096484,
        4.909162825204737,
        4.909184281110904,
        4.9092052602191565,
        4.909226716125324,
        4.90924817203149,
        4.909269151139743,
        4.90929060704591,
        4.909311586154162,
        4.90933304206033,
        4.909354021168581,
        4.909375477074748,
        4.909396932980916,
        4.909417912089168,
        4.909439367995335,
        4.909460347103587,
        4.909481803009754,
        4.909502782118007,
        4.909524238024174,
        4.909545217132426,
        4.909566673038593,
        4.909587652146845,
        4.909609108053012,
        4.909630087161265,
        4.909651543067432,
        4.909672522175684,
        4.909693978081851,
        4.909714957190103,
        4.909736413096271,
        4.909757392204523,
        4.909778848110689,
        4.909799827218942,
        4.909821283125109,
        4.9098422622333615,
        4.909863718139529,
        4.909884697247781,
        4.909906153153948,
        4.9099271322622,
        4.909948588168367,
        4.90996956727662,
        4.909991023182787,
        4.9100120022910385,
        4.910033458197206,
        4.910054437305458,
        4.910075416413711,
        4.910096872319878,
        4.910117851428129,
        4.910139307334297,
        4.910160286442549,
        4.910181742348716,
        4.910202721456969,
        4.910223700565221,
        4.910245156471388,
        4.91026613557964,
        4.910287591485807,
        4.91030857059406,
        4.910329549702312,
        4.9103510056084785,
        4.910371984716731,
        4.910393440622898,
        4.910414419731151,
        4.910435398839403,
        4.91045685474557,
        4.910477833853822,
        4.910499289759989,
        4.9105202688682414,
        4.910541247976494,
        4.910562703882661,
        4.910583682990913,
        4.910604662099165,
        4.910626118005332,
        4.910647097113585,
        4.910668076221837,
        4.910689532128004,
        4.910710511236256,
        4.910731490344508,
        4.910752946250676,
        4.910773925358928,
        4.91079490446718,
        4.910816360373348,
        4.910837339481599,
        4.910858318589852,
        4.910879774496019,
        4.910900753604271,
        4.910921732712524,
        4.910943188618691,
        4.910964167726942,
        4.910985146835195,
        4.911006125943447,
        4.9110275818496145,
        4.911048560957867,
        4.911069540066119,
        4.911090519174371,
        4.911111975080538,
        4.9111329541887905,
        4.911153933297043,
        4.91117538920321,
        4.911196368311463,
        4.911217347419714,
        4.911238326527966,
        4.911259305636219,
        4.911280761542386,
        4.9113017406506385,
        4.911322719758891,
        4.911343698867142,
        4.91136515477331,
        4.911386133881562,
        4.9114071129898145,
        4.911428092098067,
        4.911449071206319,
        4.911470527112486,
        4.911491506220738,
        4.91151248532899,
        4.911533464437243,
        4.911554443545495,
        4.9115758994516625,
        4.911596878559915,
        4.911617857668166,
        4.911638836776419,
        4.911659815884671,
        4.9116812717908385,
        4.911702250899091,
        4.911723230007343,
        4.911744209115595,
        4.911765188223847,
        4.9117861673320995,
        4.911807146440352,
        4.911828602346519,
        4.911849581454772,
        4.911870560563024,
        4.9118915396712755,
        4.911912518779528,
        4.91193349788778,
        4.911954476996033,
        4.9119759329022,
        4.911996912010452,
        4.912017891118705,
        4.912038870226956,
        4.912059849335209,
        4.912080828443461,
        4.912101807551713,
        4.912122786659966,
        4.912143765768218,
        4.9121647448764705,
        4.912186200782637,
        4.912207179890889,
        4.912228158999142,
        4.912249138107394,
        4.912270117215646,
        4.912291096323899,
        4.912312075432151,
        4.912333054540403,
        4.912354033648655,
        4.9123750127569075,
        4.91239599186516,
        4.912416970973412,
        4.912437950081665,
        4.912458929189917,
        4.9124799082981685,
        4.912500887406421,
        4.912521866514673,
        4.912542845622926,
        4.912563824731178,
        4.91258480383943,
        4.912605782947683,
        4.912626762055935,
        4.912647741164187,
        4.912668720272439,
        4.912689699380691,
        4.912710678488944,
        4.912731657597196,
        4.912752636705449,
        4.912773615813701,
        4.9127945949219525,
        4.912815574030205,
        4.912836553138457,
        4.91285753224671,
        4.912878511354962,
        4.912899490463214,
        4.912920469571467,
        4.912941448679719,
        4.912962427787971,
        4.912983406896223,
        4.913004386004475,
        4.913025365112728,
        4.91304634422098,
        4.913067323329233,
        4.913088302437485,
        4.9131092815457365,
        4.913130260653989,
        4.913151239762241,
        4.913171742072579,
        4.913192721180831,
        4.913213700289083,
        4.913234679397336,
        4.913255658505588,
        4.91327663761384,
        4.913297616722092,
        4.9133185958303445,
        4.913339574938597,
        4.913360554046849,
        4.913381056357187,
        4.913402035465439,
        4.9134230145736915,
        4.913443993681944,
        4.913464972790195,
        4.913485951898448,
        4.9135069310067,
        4.913527433317038,
        4.91354841242529,
        4.913569391533542,
        4.913590370641795,
        4.913611349750047,
        4.913632328858299,
        4.913653307966551,
        4.913673810276888,
        4.913694789385141,
        4.913715768493393,
        4.913736747601646,
        4.913757726709898,
        4.913778229020235,
        4.913799208128488,
        4.913820187236739,
        4.913841166344992,
        4.913862145453244,
        4.9138826477635815,
        4.913903626871834,
        4.913924605980086,
        4.913945585088339,
        4.913966564196591,
        4.9139870665069285,
        4.91400804561518,
        4.914029024723432,
        4.914050003831685,
        4.914070506142022,
        4.914091485250275,
        4.914112464358527,
        4.914133443466779,
        4.914153945777117,
        4.914174924885369,
        4.914195903993622,
        4.914216883101873,
        4.914237385412211,
        4.914258364520463,
        4.914279343628715,
        4.914300322736968,
        4.914320825047305,
        4.9143418041555575,
        4.91436278326381,
        4.914383285574147,
        4.9144042646824,
        4.914425243790651,
        4.914446222898904,
        4.914466725209241,
        4.9144877043174935,
        4.914508683425746,
        4.914529185736083,
        4.914550164844336,
        4.914571143952588,
        4.9145916462629256,
        4.914612625371178,
        4.914633604479429,
        4.914654106789767,
        4.914675085898019,
        4.914696065006272,
        4.914716567316609,
        4.9147375464248615,
        4.914758525533114,
        4.914779027843451,
        4.914800006951704,
        4.914820986059956,
        4.9148414883702936,
        4.914862467478545,
        4.9148829697888825,
        4.914903948897135,
        4.914924928005387,
        4.914945430315725,
        4.914966409423977,
        4.9149873885322295,
        4.915007890842567,
        4.915028869950819,
        4.915049372261157,
        4.915070351369409,
        4.915090853679747,
        4.915111832787998,
        4.9151328118962505,
        4.915153314206588,
        4.91517429331484,
        4.915194795625178,
        4.91521577473343,
        4.915236753841683,
        4.91525725615202,
        4.915278235260272,
        4.91529873757061,
        4.915319716678862,
        4.915340218989199,
        4.915361198097451,
        4.915381700407789,
        4.915402679516041,
        4.9154231818263785,
        4.915444160934631,
        4.915464663244968,
        4.915485642353221,
        4.915506621461473,
        4.915527123771811,
        4.915548102880063,
        4.9155686051904,
        4.915589584298652,
        4.915610086608989,
        4.915631065717242,
        4.915651568027579,
        4.915672547135832,
        4.915693049446169,
        4.915714028554421,
        4.915734530864759,
        4.915755033175096,
        4.915776012283349,
        4.915796514593686,
        4.9158174937019385,
        4.915837996012276,
        4.915858975120528,
        4.915879477430866,
        4.915900456539117,
        4.915920958849455,
        4.915941937957707,
        4.915962440268045,
        4.915983419376297,
        4.9160039216866345,
        4.916024423996972,
        4.916045403105224,
        4.916065905415562,
        4.916086884523814,
        4.916107386834152,
        4.916127889144489,
        4.916148868252741,
        4.916169370563079,
        4.91619034967133,
        4.916210851981668,
        4.916231354292005,
        4.916252333400258,
        4.916272835710595,
        4.9162938148188475,
        4.916314317129185,
        4.916334819439522,
        4.916355798547775,
        4.916376300858112,
        4.916397279966365,
        4.916417782276702,
        4.91643828458704,
        4.916459263695292,
        4.916479766005629,
        4.916500268315967,
        4.916521247424218,
        4.916541749734556,
        4.916562252044893,
        4.916583231153146,
        4.916603733463483,
        4.916624235773821,
        4.916645214882073,
        4.91666571719241,
        4.916686219502748,
        4.916707198611,
        4.916727700921338,
        4.916748203231675,
        4.9167691823399275,
        4.916789684650265,
        4.9168101869606025,
        4.91683068927094,
        4.916851668379192,
        4.91687217068953,
        4.916892672999867,
        4.916913652108119,
        4.916934154418456,
        4.916954656728794,
        4.916975159039131,
        4.9169961381473835,
        4.917016640457721,
        4.917037142768058,
        4.917057645078396,
        4.917078624186648,
        4.917099126496986,
        4.917119628807323,
        4.917140131117661,
        4.917161110225913,
        4.91718161253625,
        4.917202114846588,
        4.917222617156925,
        4.917243596265178,
        4.917264098575515,
        4.917284600885853,
        4.91730510319619,
        4.9173256055065275,
        4.91734658461478,
        4.9173670869251165,
        4.917387589235454,
        4.917408091545791,
        4.917428593856129,
        4.917449572964381,
        4.917470075274719,
        4.917490577585056,
        4.917511079895394,
        4.917531582205731,
        4.917552561313983,
        4.917573063624321,
        4.917593565934658,
        4.917614068244996,
        4.917634570555333,
        4.917655072865671,
        4.917675575176008,
        4.917696554284261,
        4.917717056594598,
        4.9177375589049355,
        4.917758061215273,
        4.91777856352561,
        4.917799065835948,
        4.917819568146285,
        4.917840547254538,
        4.917861049564875,
        4.917881551875213,
        4.91790205418555,
        4.9179225564958875,
        4.917943058806225,
        4.917963561116562,
        4.9179840634269,
        4.918004565737236,
        4.918025544845489,
        4.918046047155826,
        4.918066549466164,
        4.918087051776501,
        4.918107554086839,
        4.918128056397176,
        4.9181485587075136,
        4.918169061017851,
        4.9181895633281885,
        4.918210065638526,
        4.918230567948863,
        4.918251070259201,
        4.918271572569538,
        4.918292074879876,
        4.918312577190213,
        4.918333079500551,
        4.918353581810888,
        4.9183745609191405,
        4.918395063229478,
        4.918415565539815,
        4.918436067850153,
        4.91845657016049,
        4.918477072470828,
        4.918497574781165,
        4.918518077091503,
        4.91853857940184,
        4.918559081712178,
        4.918579584022515,
        4.9186000863328525,
        4.91862058864319,
        4.918641090953527,
        4.918661593263865,
        4.918682095574202,
        4.91870259788454,
        4.918723100194877,
        4.918743602505215,
        4.918763628017637,
        4.918784130327975,
        4.918804632638312,
        4.91882513494865,
        4.918845637258987,
        4.9188661395693245,
        4.918886641879662,
        4.918907144189999,
        4.918927646500337,
        4.918948148810674,
        4.918968651121012,
        4.918989153431349,
        4.919009655741687,
        4.919030158052024,
        4.919050660362362,
        4.919071162672698,
        4.919091188185122,
        4.919111690495459,
        4.9191321928057965,
        4.919152695116134,
        4.919173197426471,
        4.919193699736808,
        4.919214202047145,
        4.919234704357483,
        4.91925520666782,
        4.919275708978158,
        4.919295734490581,
        4.919316236800919,
        4.919336739111255,
        4.919357241421593,
        4.91937774373193,
        4.919398246042268,
        4.919418748352605,
        4.9194387738650285,
        4.919459276175366,
        4.9194797784857025,
        4.91950028079604,
        4.919520783106377,
        4.919541285416715,
        4.919561310929138,
        4.919581813239476,
        4.919602315549813,
        4.91962281786015,
        4.919643320170487,
        4.919663822480825,
        4.919683847993248,
        4.9197043503035855,
        4.919724852613923,
        4.9197453549242605,
        4.919765857234597,
        4.9197858827470204,
        4.919806385057358,
        4.919826887367695,
        4.919847389678033,
        4.91986789198837,
        4.919887917500793,
        4.91990841981113,
        4.919928922121468,
        4.919949424431805,
        4.919969449944228,
        4.919989952254565,
        4.920010454564903,
        4.92003095687524,
        4.920050982387663,
        4.920071484698,
        4.9200919870083375,
        4.920112489318675,
        4.9201325148310975,
        4.920153017141435,
        4.920173519451772,
        4.92019402176211,
        4.920214047274532,
        4.92023454958487,
        4.920255051895207,
        4.92027507740763,
        4.920295579717967,
        4.920316082028305,
        4.920336107540727,
        4.920356609851065,
        4.920377112161402,
        4.92039761447174,
        4.920417639984162,
        4.9204381422945,
        4.920458644604837,
        4.92047867011726,
        4.920499172427597,
        4.9205196747379345,
        4.920539700250357,
        4.9205602025606945,
        4.920580704871032,
        4.9206007303834545,
        4.920621232693792,
        4.920641735004129,
        4.920661760516552,
        4.920682262826889,
        4.920702288339312,
        4.920722790649649,
        4.920743292959987,
        4.920763318472409,
        4.920783820782747,
        4.920804323093084,
        4.920824348605507,
        4.920844850915844,
        4.920864876428268,
        4.920885378738605,
        4.9209058810489426,
        4.920925906561365,
        4.9209464088717025,
        4.920966434384125,
        4.9209869366944625,
        4.9210074390048,
        4.9210274645172225,
        4.92104796682756,
        4.9210679923399825,
        4.92108849465032,
        4.921108996960657,
        4.92112902247308,
        4.921149524783417,
        4.92116955029584,
        4.921190052606177,
        4.9212100781186,
        4.921230580428937,
        4.92125060594136,
        4.921271108251697,
        4.92129113376412,
        4.921311636074457,
        4.921332138384795,
        4.921352163897217,
        4.921372666207555,
        4.921392691719977,
        4.921413194030315,
        4.921433219542737,
        4.921453721853075,
        4.921473747365498,
        4.921494249675836,
        4.921514275188258,
        4.921534777498596,
        4.921554803011018,
        4.921575305321356,
        4.921595330833778,
        4.9216158331441155,
        4.921635858656538,
        4.9216563609668755,
        4.921676386479298,
        4.9216968887896355,
        4.921716914302058,
        4.921736939814481,
        4.921757442124818,
        4.9217774676372406,
        4.921797969947578,
        4.9218179954600005,
        4.921838497770338,
        4.9218585232827605,
        4.921879025593098,
        4.9218990511055205,
        4.921919076617944,
        4.921939578928281,
        4.921959604440704,
        4.921980106751041,
        4.922000132263464,
        4.922020634573801,
        4.922040660086224,
        4.922060685598646,
        4.922081187908984,
        4.922101213421406,
        4.922121715731744,
        4.922141741244166,
        4.922161766756589,
        4.922182269066926,
        4.922202294579349,
        4.922222796889686,
        4.922242822402109,
        4.922262847914531,
        4.922283350224869,
        4.922303375737292,
        4.922323401249715,
        4.922343903560052,
        4.922363929072475,
        4.922383954584897,
        4.922404456895235,
        4.922424482407657,
        4.92244450792008,
        4.922465010230417,
        4.92248503574284,
        4.922505061255262,
        4.9225255635656,
        4.922545589078022,
        4.922565614590445,
        4.922586116900782,
        4.922606142413205,
        4.922626167925628,
        4.922646670235966,
        4.922666695748388,
        4.922686721260811,
        4.922707223571148,
        4.922727249083571,
        4.922747274595993,
        4.922767300108416,
        4.922787802418753,
        4.922807827931176,
        4.922827853443598,
        4.922848355753936,
        4.922868381266358,
        4.922888406778781,
        4.922908432291203,
        4.922928934601541,
        4.922948960113964,
        4.922968985626387,
        4.922989011138809,
        4.923009513449147,
        4.923029538961569,
        4.923049564473992,
        4.923069589986414,
        4.923090092296752,
        4.923110117809174,
        4.923130143321597,
        4.923150168834019,
        4.923170671144357,
        4.923190696656779,
        4.923210722169202,
        4.923230747681625,
        4.923250773194048,
        4.923271275504385,
        4.923291301016808,
        4.92331132652923,
        4.923331352041653,
        4.923351377554075,
        4.923371879864413,
        4.923391905376835,
        4.923411930889258,
        4.92343195640168,
        4.923451981914103,
        4.923472007426526,
        4.923492509736864,
        4.923512535249286,
        4.923532560761709,
        4.923552586274131,
        4.923572611786554,
        4.9235926372989764,
        4.923613139609314,
        4.923633165121736,
        4.923653190634159,
        4.9236732161465815,
        4.923693241659004,
        4.923713267171427,
        4.92373329268385,
        4.9237533181962725,
        4.92377382050661,
        4.9237938460190325,
        4.923813871531455,
        4.9238338970438775,
        4.9238539225563,
        4.923873948068723,
        4.923893973581145,
        4.923913999093568,
        4.92393402460599,
        4.923954050118414,
        4.923974552428751,
        4.923994577941174,
        4.924014603453596,
        4.924034628966019,
        4.924054654478441,
        4.924074679990864,
        4.924094705503286,
        4.924114731015709,
        4.924134756528131,
        4.924154782040554,
        4.924174807552977,
        4.9241948330654,
        4.924214858577822,
        4.924234884090245,
        4.924254909602667,
        4.92427493511509,
        4.924294960627512,
        4.924314986139935,
        4.924335011652357,
        4.924355513962695,
        4.924375539475117,
        4.924395564987541,
        4.924415590499963,
        4.924435616012386,
        4.924455641524808,
        4.924475667037231,
        4.9244956925496535,
        4.924515718062076,
        4.9245357435744985,
        4.924555769086921,
        4.924575794599344,
        4.924595343313852,
        4.924615368826275,
        4.924635394338697,
        4.92465541985112,
        4.924675445363542,
        4.924695470875965,
        4.924715496388387,
        4.92473552190081,
        4.924755547413232,
        4.924775572925656,
        4.924795598438078,
        4.924815623950501,
        4.924835649462923,
        4.924855674975346,
        4.924875700487768,
        4.924895726000191,
        4.924915751512613,
        4.924935777025036,
        4.9249558025374585,
        4.924975351251967,
        4.9249953767643895,
        4.925015402276812,
        4.9250354277892345,
        4.925055453301657,
        4.92507547881408,
        4.925095504326502,
        4.925115529838925,
        4.925135555351347,
        4.925155580863771,
        4.925175129578278,
        4.925195155090701,
        4.925215180603123,
        4.925235206115546,
        4.925255231627968,
        4.925275257140391,
        4.925295282652813,
        4.925314831367322,
        4.925334856879744,
        4.925354882392167,
        4.925374907904589,
        4.925394933417012,
        4.9254149589294345,
        4.925434984441857,
        4.925454533156365,
        4.925474558668787,
        4.9254945841812106,
        4.925514609693633,
        4.925534635206056,
        4.925554660718478,
        4.925574209432986,
        4.925594234945408,
        4.925614260457831,
        4.925634285970253,
        4.925654311482677,
        4.925673860197184,
        4.925693885709607,
        4.925713911222029,
        4.925733936734452,
        4.9257539622468745,
        4.925773510961382,
        4.925793536473805,
        4.925813561986228,
        4.9258335874986505,
        4.925853136213158,
        4.925873161725581,
        4.925893187238003,
        4.925913212750426,
        4.925932761464933,
        4.925952786977356,
        4.925972812489779,
        4.925992838002202,
        4.926012386716709,
        4.926032412229132,
        4.926052437741554,
        4.926072463253977,
        4.926092011968485,
        4.926112037480907,
        4.9261320629933305,
        4.926151611707838,
        4.926171637220261,
        4.926191662732683,
        4.926211688245106,
        4.926231236959613,
        4.926251262472036,
        4.926271287984459,
        4.926290836698967,
        4.926310862211389,
        4.926330887723812,
        4.9263504364383195,
        4.926370461950742,
        4.9263904874631645,
        4.926410036177673,
        4.926430061690096,
        4.926450087202518,
        4.926469635917026,
        4.926489661429448,
        4.926509686941871,
        4.926529235656378,
        4.926549261168801,
        4.926569286681224,
        4.926588835395732,
        4.926608860908154,
        4.926628886420577,
        4.9266484351350845,
        4.926668460647507,
        4.92668848615993,
        4.926708034874438,
        4.926728060386861,
        4.926747609101368,
        4.926767634613791,
        4.926787660126213,
        4.926807208840721,
        4.926827234353143,
        4.926846783067652,
        4.926866808580074,
        4.926886834092497,
        4.9269063828070045,
        4.926926408319427,
        4.926945957033935,
        4.926965982546358,
        4.926986008058781,
        4.927005556773288,
        4.927025582285711,
        4.927045131000218,
        4.927065156512641,
        4.9270847052271485,
        4.927104730739572,
        4.9271242794540795,
        4.927144304966502,
        4.9271643304789245,
        4.927183879193432,
        4.927203904705855,
        4.927223453420363,
        4.927243478932786,
        4.927263027647293,
        4.927283053159716,
        4.927302601874223,
        4.927322627386646,
        4.9273421761011535,
        4.927362201613577,
        4.927381750328085,
        4.927401775840507,
        4.927421324555015,
        4.927441350067437,
        4.927460898781945,
        4.927480924294368,
        4.927500473008876,
        4.927520498521298,
        4.927540047235806,
        4.9275600727482285,
        4.927579621462736,
        4.927599646975159,
        4.927619195689667,
        4.92763922120209,
        4.927658769916597,
        4.92767879542902,
        4.927698344143527,
        4.92771836965595,
        4.927737918370458,
        4.927757467084966,
        4.9277774925973885,
        4.927797041311896,
        4.927817066824319,
        4.927836615538826,
        4.92785664105125,
        4.927876189765757,
        4.927895738480265,
        4.927915763992687,
        4.927935312707195,
        4.9279553382196175,
        4.927974886934126,
        4.9279949124465485,
        4.928014461161056,
        4.928034009875564,
        4.928054035387986,
        4.928073584102494,
        4.928093132817002,
        4.928113158329425,
        4.9281327070439325,
        4.928152732556355,
        4.928172281270863,
        4.928191829985371,
        4.928211855497794,
        4.928231404212301,
        4.928250952926809,
        4.928270978439231,
        4.928290527153739,
        4.9283105526661615,
        4.92833010138067,
        4.928349650095178,
        4.9283696756076,
        4.928389224322108,
        4.928408773036615,
        4.928428798549039,
        4.928448347263546,
        4.928467895978054,
        4.928487921490476,
        4.928507470204984,
        4.9285270189194925,
        4.928547044431915,
        4.928566593146423,
        4.92858614186093,
        4.928605690575438,
        4.92862571608786,
        4.928645264802369,
        4.9286648135168765,
        4.928684839029299,
        4.928704387743807,
        4.928723936458314,
        4.928743485172823,
        4.928763510685245,
        4.928783059399753,
        4.92880260811426,
        4.928822633626683,
        4.9288421823411905,
        4.928861731055699,
        4.928881279770207,
        4.928901305282629,
        4.928920853997137,
        4.928940402711644,
        4.928959951426153,
        4.928979976938575,
        4.928999525653083,
        4.929019074367591,
        4.929038623082098,
        4.929058171796607,
        4.929078197309029,
        4.929097746023537,
        4.929117294738044,
        4.929136843452552,
        4.9291568689649745,
        4.929176417679483,
        4.929195966393991,
        4.929215515108498,
        4.929235063823006,
        4.929255089335428,
        4.929274638049937,
        4.929294186764444,
        4.929313735478952,
        4.92933328419346,
        4.929353309705882,
        4.929372858420391,
        4.929392407134898,
        4.929411955849406,
        4.929431504563913,
        4.929451053278421,
        4.9294706019929295,
        4.929490627505352,
        4.92951017621986,
        4.929529724934367,
        4.929549273648875,
        4.929568822363383,
        4.929588371077891,
        4.9296083965903135,
        4.929627945304821,
        4.929647494019329,
        4.929667042733837,
        4.929686591448345,
        4.929706140162852,
        4.92972568887736,
        4.929745237591868,
        4.929764786306376,
        4.929784811818799,
        4.929804360533306,
        4.929823909247814,
        4.929843457962321,
        4.92986300667683,
        4.9298825553913375,
        4.929902104105845,
        4.929921652820353,
        4.92994120153486,
        4.929960750249369,
        4.929980298963876,
        4.929999847678384,
        4.9300198731908065,
        4.930039421905314,
        4.930058970619823,
        4.93007851933433,
        4.930098068048838,
        4.930117616763345,
        4.930137165477853,
        4.9301567141923615,
        4.930176262906869,
        4.930195811621377,
        4.930215360335884,
        4.930234909050393,
        4.9302544577649,
        4.930274006479408,
        4.9302935551939155,
        4.930313103908423,
        4.930332652622932,
        4.930352201337439,
        4.930371750051947,
        4.930391298766454,
        4.930410847480963,
        4.9304303961954705,
        4.930449944909978,
        4.930469493624486,
        4.930489042338993,
        4.930508591053502,
        4.930528139768009,
        4.930547688482517,
        4.930567237197025,
        4.930586785911532,
        4.930606334626041,
        4.930625883340548,
        4.930645432055056,
        4.9306649807695635,
        4.930684529484072,
        4.93070407819858,
        4.930723626913087,
        4.930743175627595,
        4.930762724342102,
        4.930782273056611,
        4.9308013449732035,
        4.930820893687711,
        4.930840442402219,
        4.930859991116727,
        4.930879539831235,
        4.930899088545742,
        4.93091863726025,
        4.930938185974758,
        4.930957734689266,
        4.930977283403774,
        4.930996832118281,
        4.931016380832789,
        4.9310354527493825,
        4.93105500146389,
        4.931074550178398,
        4.931094098892905,
        4.931113647607414,
        4.931133196321921,
        4.931152745036429,
        4.931172293750937,
        4.93119136566753,
        4.931210914382038,
        4.931230463096545,
        4.931250011811053,
        4.9312695605255605,
        4.931289109240069,
        4.931308657954577,
        4.931327729871169,
        4.931347278585677,
        4.931366827300185,
        4.931386376014693,
        4.931405924729201,
        4.931425473443708,
        4.931444545360302,
        4.931464094074809,
        4.931483642789317,
        4.9315031915038245,
        4.931522740218332,
        4.931542288932841,
        4.931561360849433,
        4.931580909563941,
        4.9316004582784485,
        4.931620006992957,
        4.931639555707465,
        4.931658627624057,
        4.931678176338565,
        4.931697725053073,
        4.931717273767581,
        4.931736345684174,
        4.931755894398681,
        4.93177544311319,
        4.931794991827697,
        4.931814540542205,
        4.931833612458798,
        4.931853161173306,
        4.931872709887814,
        4.931892258602321,
        4.931911330518914,
        4.931930879233422,
        4.93195042794793,
        4.931969499864523,
        4.93198904857903,
        4.932008597293539,
        4.932028146008046,
        4.932047217924639,
        4.932066766639147,
        4.932086315353655,
        4.932105864068163,
        4.932124935984755,
        4.932144484699263,
        4.932164033413771,
        4.932183105330364,
        4.932202654044872,
        4.932222202759379,
        4.932241274675973,
        4.9322608233904806,
        4.932280372104988,
        4.932299920819496,
        4.932318992736089,
        4.932338541450597,
        4.9323580901651045,
        4.932377162081697,
        4.932396710796206,
        4.932416259510713,
        4.932435331427306,
        4.9324548801418135,
        4.932474428856322,
        4.932493500772915,
        4.932513049487422,
        4.932532121404015,
        4.9325516701185235,
        4.932571218833031,
        4.932590290749624,
        4.932609839464131,
        4.93262938817864,
        4.9326484600952325,
        4.93266800880974,
        4.932687080726333,
        4.932706629440841,
        4.932726178155349,
        4.9327452500719415,
        4.933151481895372,
        4.93317103060988,
        4.933190102526472,
        4.933209651240981,
        4.9332287231575735,
        4.933248271872081,
        4.933267820586589,
        4.933286892503182,
        4.93330644121769,
        4.933325513134283,
        4.93334506184879,
        4.933364133765384,
        4.933383682479891,
        4.933402754396484,
        4.9334223031109925,
        4.933441375027585,
        4.933460923742093,
        4.9334799956586854,
        4.933499067575279,
        4.933518616289787,
        4.933537688206379,
        4.933557236920888,
        4.93357630883748,
        4.933595857551988,
        4.933614929468581,
        4.934289121720142,
        4.934308670434651,
        4.934327742351243,
        4.934346814267836,
        4.934366362982344,
        4.934385434898937,
        4.93440450681553,
        4.934424055530037,
        4.934443127446631,
        4.934462199363224,
        4.934481748077731,
        4.934500819994325,
        4.934519891910917,
        4.934539440625425,
        4.934558512542019,
        4.934577584458611,
        4.934597133173119,
        4.9346162050897115,
        4.934635277006305,
        4.934654348922898,
        4.934673897637405,
        4.934692969553999,
        4.934712041470592,
        4.934731590185099,
        4.934750662101693,
        4.9347697340182854,
        4.934788805934878,
        4.934808354649386,
        4.934827426565979,
        4.934846498482572,
        4.934865570399165,
        4.934885119113673,
        4.934904191030266,
        4.9349232629468585,
        4.934942334863452,
        4.93496188357796,
        4.934980955494552,
        4.935000027411145,
        4.9350190993277385,
        4.935038648042246,
        4.935057719958839,
        4.935076791875432,
        4.935095863792025,
        4.935114935708618,
        4.935134484423126,
        4.935153556339719,
        4.9351726282563115,
        4.935191700172905,
        4.935210772089498,
        4.935230320804005,
        4.935249392720598,
        4.935268464637192,
        4.935287536553784,
        4.935306608470377,
        4.9353256803869705,
        4.935345229101478,
        4.935364301018071,
        4.935383372934664,
        4.935402444851257,
        4.93542151676785,
        4.935440588684443,
        4.935460137398951,
        4.9354792093155435,
        4.935498281232137,
        4.93551735314873,
        4.935536425065322,
        4.935555496981916,
        4.935574568898509,
        4.935594117613016,
        4.935613189529609,
        4.9356322614462025,
        4.935651333362795,
        4.935670405279388,
        4.935689477195981,
        4.935708549112574,
        4.935727621029167,
        4.935747169743675,
        4.935766241660268,
        4.935785313576861,
        4.935804385493454,
        4.935823457410047,
        4.9358425293266395,
        4.935861601243233,
        4.935880673159826,
        4.935899745076418,
        4.935918816993012,
        4.935937888909605,
        4.935956960826197,
        4.935976509540706,
        4.935995581457298,
        4.936014653373891,
        4.936033725290485,
        4.936052797207077,
        4.93607186912367,
        4.936090941040264,
        4.936110012956856,
        4.936129084873449,
        4.9361481567900425,
        4.936167228706635,
        4.936186300623228,
        4.936205372539821,
        4.936224444456414,
        4.936243516373007,
        4.9362625882896,
        4.936281660206193,
        4.936300732122786,
        4.936319804039379,
        4.936338875955972,
        4.9363579478725645,
        4.936377019789158,
        4.936396091705751,
        4.9364151636223434,
        4.936434235538937,
        4.93645330745553,
        4.936472379372122,
        4.936491451288716,
        4.936510523205309,
        4.936529595121901,
        4.936548667038495,
        4.9365677389550875,
        4.93658681087168,
        4.936605882788274,
        4.936624954704866,
        4.936644026621459,
        4.936663098538053,
        4.936682170454645,
        4.936701242371238,
        4.9367203142878315,
        4.936739386204424,
        4.936757981323102,
        4.9367770532396955,
        4.936796125156288,
        4.936815197072881,
        4.936834268989474,
        4.936853340906067,
        4.93687241282266,
        4.936891484739253,
        4.936910556655846,
        4.936929628572439,
        4.936948700489032,
        4.936967772405625,
        4.936986367524303,
        4.937005439440896,
        4.937024511357489,
        4.9370435832740815,
        4.937062655190675,
        4.937081727107268,
        4.9371007990238605,
        4.937119870940454,
        4.937138942857047,
        4.937157537975725,
        4.937176609892318,
        4.937195681808911,
        4.937214753725504,
        4.937233825642097,
        4.93725289755869,
        4.937271969475283,
        4.937290564593961,
        4.9373096365105535,
        4.937328708427147,
        4.93734778034374,
        4.9373668522603325,
        4.937385924176926,
        4.937404519295604,
        4.937423591212196,
        4.93744266312879,
        4.937461735045383,
        4.937480806961975,
        4.937499878878569,
        4.937518473997247,
        4.93753754591384,
        4.937556617830433,
        4.9375756897470255,
        4.937594761663619,
        4.937613356782297,
        4.9376324286988895,
        4.937651500615483,
        4.937670572532076,
        4.9376891676507535,
        4.937708239567347,
        4.93772731148394,
        4.937746383400532,
        4.937765455317126,
        4.937784050435804,
        4.937803122352397,
        4.93782219426899,
        4.937841266185583,
        4.937859861304261,
        4.937878933220854,
        4.937898005137447,
        4.93791707705404,
        4.937935672172718,
        4.937954744089311,
        4.937973816005904,
        4.937992887922497,
        4.938011483041175,
        4.938030554957768,
        4.938049626874361,
        4.938068221993039,
        4.938087293909632,
        4.938106365826225,
        4.938125437742818,
        4.938144032861496,
        4.938163104778089,
        4.938182176694682,
        4.93820077181336,
        4.938219843729954,
        4.938238915646546,
        4.938257510765224,
        4.938276582681818,
        4.93829565459841,
        4.938314249717088,
        4.9383333216336815,
        4.938352393550274,
        4.938370988668953,
        4.9383900605855455,
        4.938409132502138,
        4.938427727620817,
        4.9384467995374095,
        4.938465871454002,
        4.938484466572681,
        4.9385035384892735,
        4.938522610405866,
        4.938541205524545,
        4.9385602774411375,
        4.938579349357731,
        4.938597944476409,
        4.938617016393001,
        4.93863561151168,
        4.938654683428273,
        4.938673755344865,
        4.938692350463544,
        4.938711422380137,
        4.93873049429673,
        4.938749089415408,
        4.938768161332001,
        4.938786756450679,
        4.938805828367272,
        4.938824423485951,
        4.938843495402543,
        4.938862567319136,
        4.938881162437815,
        4.938900234354407,
        4.938918829473085,
        4.938937901389679,
        4.938956973306271,
        4.93897556842495,
        4.938994640341543,
        4.93901323546022,
        4.939032307376814,
        4.939050902495492,
        4.939069974412085,
        4.939088569530763,
        4.939107641447356,
        4.939126713363949,
        4.939145308482627,
        4.93916438039922,
        4.939182975517898,
        4.939202047434491,
        4.9392206425531695,
        4.939239714469762,
        4.93925830958844,
        4.9392773815050335,
        4.939295976623711,
        4.939315048540305,
        4.9393336436589825,
        4.939352715575575,
        4.939371310694254,
        4.9393903826108465,
        4.939408977729525,
        4.939428049646118,
        4.939446644764796,
        4.939465716681389,
        4.939484311800067,
        4.9395033837166595,
        4.939521978835338,
        4.939541050751931,
        4.9395596458706095,
        4.939578717787202,
        4.93959731290588,
        4.9396159080245585,
        4.939634979941151,
        4.93965357505983,
        4.9396726469764225,
        4.9396912420951,
        4.939710314011694,
        4.9397289091303715,
        4.939747981046965,
        4.939766576165643,
        4.939785171284321,
        4.939804243200914,
        4.939822838319592,
        4.9398419102361855,
        4.939860505354863,
        4.939879577271456,
        4.9398981723901345,
        4.939916767508812,
        4.939935839425406,
        4.939954434544084,
        4.939973506460676,
        4.939992101579355,
        4.940010696698033,
        4.940029768614626,
        4.940048363733304,
        4.940067435649897,
        4.940086030768575,
        4.940104625887253,
        4.9401236978038465,
        4.940142292922524,
        4.940160888041203,
        4.940179959957796,
        4.940198555076473,
        4.940217626993067,
        4.940236222111745,
        4.940254817230423,
        4.940273889147016,
        4.940292484265694,
        4.940311079384372,
        4.940330151300965,
        4.940348746419644,
        4.940367341538321,
        4.940386413454914,
        4.940405008573593,
        4.94042360369227,
        4.940442675608864,
        4.940461270727542,
        4.9404798658462195,
        4.940498937762813,
        4.940517532881491,
        4.940536128000169,
        4.940554723118847,
        4.940573795035441,
        4.940592390154118,
        4.940610985272796,
        4.94063005718939,
        4.9406486523080675,
        4.940667247426746,
        4.940685842545424,
        4.9407049144620165,
        4.940723509580695,
        4.940742104699373,
        4.9407611766159665,
        4.940779771734644,
        4.940798366853323,
        4.940816961972001,
        4.940836033888593,
        4.940854629007272,
        4.94087322412595,
        4.940891819244628,
        4.940910891161221,
        4.940929486279899,
        4.940948081398577,
        4.940966676517255,
        4.940985748433849,
        4.941004343552526,
        4.941022938671205,
        4.941041533789883,
        4.9410601289085605,
        4.941079200825154,
        4.941097795943832,
        4.94111639106251,
        4.941134986181188,
        4.941153581299867,
        4.9411726532164595,
        4.941191248335137,
        4.941209843453816,
        4.941228438572494,
        4.941247033691172,
        4.941266105607765,
        4.9412847007264435,
        4.941303295845121,
        4.941321890963799,
        4.941340486082478,
        4.94135955799907,
        4.941378153117749,
        4.941396748236427,
        4.941415343355105,
        4.941433938473783,
        4.941452533592461,
        4.9414711287111395,
        4.941490200627732,
        4.941508795746411,
        4.9415273908650885,
        4.941545985983767,
        4.941564581102445,
        4.941583176221123,
        4.941601771339801,
        4.941620843256394,
        4.941639438375073,
        4.94165803349375,
        4.941676628612429,
        4.941695223731107,
        4.941713818849785,
        4.941732413968463,
        4.941751009087141,
        4.9417696042058195,
        4.941788676122412,
        4.941807271241091,
        4.9418258663597685,
        4.941844461478447,
        4.941863056597125,
        4.941881651715803,
        4.941900246834481,
        4.941918841953159,
        4.941937437071838,
        4.941956032190515,
        4.941974627309194,
        4.941993222427872,
        4.942012294344464,
        4.942030889463143,
        4.942049484581821,
        4.942068079700499,
        4.942086674819177,
        4.942105269937856,
        4.942123865056534,
        4.942142460175212,
        4.94216105529389,
        4.942179650412569,
        4.942198245531246,
        4.942216840649924,
        4.942235435768603,
        4.94225403088728,
        4.942272626005959,
        4.9453219870702165,
        4.948743250508038,
        4.94876518321212,
        4.948787115916202,
        4.9488095254181985,
        4.948831458122281,
        4.948853390826362,
        4.948875323530444,
        4.9488977330324415,
        4.948919665736523,
        4.948941598440605,
        4.948964007942601,
        4.948985940646684,
        4.949007873350766,
        4.949029806054847,
        4.949052215556844,
        4.949074148260926,
        4.949096080965008,
        4.94911801366909,
        4.9491404231710865,
        4.949162355875169,
        4.94918428857925,
        4.949206221283332,
        4.9492286307853295,
        4.949250563489411,
        4.949272496193493,
        4.949294428897574,
        4.949316361601657,
        4.949338771103654,
        4.949360703807735,
        4.949382636511817,
        4.949404569215899,
        4.949426501919981,
        4.949448911421978,
        4.9494708441260595,
        4.949492776830142,
        4.949514709534224,
        4.949536642238305,
        4.949558574942388,
        4.949580984444384,
        4.949602917148466,
        4.949624849852548,
        4.94964678255663,
        4.949668715260712,
        4.949690647964793,
        4.9497130574667905,
        4.949734990170873,
        4.949756922874954,
        4.949778855579036,
        4.9498007882831185,
        4.9498227209872,
        4.949844653691282,
        4.9498665863953635,
        4.949888995897361,
        4.949910928601443,
        4.949932861305524,
        4.9499547940096065,
        4.949976726713688,
        4.94999865941777,
        4.950020592121852,
        4.950042524825934,
        4.950064457530016,
        4.950086390234098,
        4.9501083229381795,
        4.950130732440177,
        4.950152665144258,
        4.95017459784834,
        4.9501965305524225,
        4.950218463256504,
        4.950240395960586,
        4.950262328664668,
        4.95028426136875,
        4.950306194072832,
        4.950328126776913,
        4.9503500594809955,
        4.950371992185078,
        4.950393924889159,
        4.950415857593241,
        4.950437790297324,
        4.950459723001405,
        4.950481655705487,
        4.950503588409569,
        4.950525521113651,
        4.950547453817733,
        4.950569386521814,
        4.950591319225897,
        4.950613251929979,
        4.95063518463406,
        4.950657117338142,
        4.950679050042225,
        4.950700982746306,
        4.950722915450388,
        4.9507448481544705,
        4.950766780858552,
        4.950788713562634,
        4.950810646266715,
        4.950832578970798,
        4.95085451167488,
        4.950876444378961,
        4.9508983770830435,
        4.950920309787126,
        4.950942242491207,
        4.950964175195289,
        4.950986107899371,
        4.951007563805538,
        4.95102949650962,
        4.951051429213702,
        4.951073361917784,
        4.951095294621866,
        4.951117227325947,
        4.95113916003003,
        4.951161092734112,
        4.951183025438193,
        4.9512049581422755,
        4.951226890846358,
        4.951248346752524,
        4.951270279456606,
        4.951292212160689,
        4.95131414486477,
        4.951336077568852,
        4.9513580102729335,
        4.951379942977016,
        4.951401875681098,
        4.951423331587264,
        4.951445264291347,
        4.951467196995429,
        4.95148912969951,
        4.9515110624035925,
        4.951532995107675,
        4.951554451013841,
        4.951576383717923,
        4.951598316422006,
        4.951620249126087,
        4.951642181830169,
        4.9516641145342515,
        4.951685570440418,
        4.9517075031445,
        4.951729435848582,
        4.951751368552664,
        4.951773301256746,
        4.951794757162913,
        4.951816689866995,
        4.951838622571077,
        4.951860555275158,
        4.952949561712617,
        4.952971494416699,
        4.952992950322866,
        4.953014883026948,
        4.95303681573103,
        4.953058271637197,
        4.953080204341279,
        4.953101660247446,
        4.953123592951528,
        4.953145048857695,
        4.953166981561777,
        4.9531889142658585,
        4.953210370172026,
        4.953232302876108,
        4.953253758782275,
        4.953275691486357,
        4.953297147392524,
        4.953319080096606,
        4.953340536002773,
        4.953362468706855,
        4.953383924613022,
        4.953405857317104,
        4.953427313223271,
        4.953449245927353,
        4.95347070183352,
        4.953492634537602,
        4.953514567241684,
        4.9535360231478505,
        4.954769976151416,
        4.954791432057583,
        4.95481288796375,
        4.954834343869917,
        4.954856276573999,
        4.954877732480166,
        4.954899188386333,
        4.954921121090416,
        4.954942576996582,
        4.954964032902749,
        4.954985488808917,
        4.955007421512998,
        4.955028877419165,
        4.955050333325333,
        4.9550717892315,
        4.955093721935581,
        4.955115177841749,
        4.955136633747916,
        4.955158089654083,
        4.95517954556025,
        4.955201478264332,
        4.955222934170499,
        4.955244390076666,
        4.955265845982833,
        4.955287778686915,
        4.9553092345930825,
        4.955330690499249,
        4.955352146405416,
        4.9553736023115835,
        4.955395058217751,
        4.955416990921832,
        4.9554384468279995,
        4.955459902734167,
        4.955481358640333,
        4.9555028145465005,
        4.955524747250583,
        4.95554620315675,
        4.9555676590629165,
        4.955589114969084,
        4.955610570875251,
        4.9556320267814185,
        4.955653482687585,
        4.955675415391667,
        4.955696871297834,
        4.955718327204001,
        4.955739783110168,
        4.9557612390163355,
        4.955782694922503,
        4.955804150828669,
        4.9558256067348365,
        4.955847539438919,
        4.955868995345086,
        4.9558904512512525,
        4.95591190715742,
        4.955933363063587,
        4.955954818969754,
        4.955976274875921,
        4.955997730782088,
        4.9560191866882555,
        4.956040642594423,
        4.956062575298504,
        4.9560840312046714,
        4.956105487110839,
        4.956126943017005,
        4.9561483989231725,
        4.95616985482934,
        4.956191310735507,
        4.9562127666416735,
        4.956234222547841,
        4.956255678454008,
        4.9562771343601755,
        4.956298590266342,
        4.956320046172509,
        4.9563415020786765,
        4.956362957984844,
        4.95638441389101,
        4.956405869797178,
        4.956427325703345,
        4.956448781609512,
        4.956470237515679,
        4.956491693421846,
        4.956513149328013,
        4.9565346052341805,
        4.956556061140347,
        4.956577517046514,
        4.956598972952682,
        4.956620428858849,
        4.956641884765015,
        4.956663340671183,
        4.95668479657735,
        4.956706252483517,
        4.956727708389684,
        4.956749164295851,
        4.957655080334018,
        4.959033026307859,
        4.959054482214026,
        4.9590754613222785,
        4.959096917228446,
        4.959117896336698,
        4.959139352242865,
        4.959160331351117,
        4.959181787257284,
        4.959203243163452,
        4.959224222271703,
        4.95924567817787,
        4.959266657286123,
        4.95928811319229,
        4.9593090923005425,
        4.959330548206709,
        4.959351527314961,
        4.959372983221129,
        4.959393962329381,
        4.959415418235548,
        4.959436397343801,
        4.959457853249967,
        4.9594788323582195,
        4.959500288264387,
        4.959521267372639,
        4.9595427232788065,
        4.959563702387058,
        4.959585158293225,
        4.959606137401478,
        4.959627593307645,
        4.959648572415897,
        4.959670028322064,
        4.959691007430316,
        4.9597124633364835,
        4.959733442444736,
        4.959754421552988,
        4.959775877459155,
        4.959796856567407,
        4.959818312473574,
        4.959839291581827,
        4.959860747487994,
        4.9598817265962465,
        4.959903182502413,
        4.959924161610665,
        4.959945140718918,
        4.959966596625085,
        4.959987575733337,
        4.960009031639504,
        4.960030010747756,
        4.960050989856009,
        4.960072445762176,
        4.960093424870428,
        4.960114880776596,
        4.960135859884847,
        4.9601568389930994,
        4.960178294899267,
        4.960199274007519,
        4.9602207299136865,
        4.960241709021939,
        4.96026268813019,
        4.960284144036358,
        4.96030512314461,
        4.960326102252862,
        4.96034755815903,
        4.960368537267281,
        4.960389516375534,
        4.960410972281701,
        4.960431951389953,
        4.960452930498206,
        4.960474386404373,
        4.9604953655126245,
        4.960516344620877,
        4.960537800527044,
        4.960558779635297,
        4.960579758743549,
        4.960601214649716,
        4.960622193757968,
        4.96064317286622,
        4.9606646287723875,
        4.96068560788064,
        4.960706586988892,
        4.960728042895059,
        4.960749022003311,
        4.960770001111563,
        4.960790980219816,
        4.960812436125983,
        4.9608334152342355,
        4.960854394342488,
        4.960875373450739,
        4.960896829356907,
        4.960917808465159,
        4.9609387875734114,
        4.960959766681664,
        4.960981222587831,
        4.961002201696083,
        4.961023180804335,
        4.961044159912587,
        4.961065615818755,
        4.961086594927007,
        4.9611075740352595,
        4.961128553143511,
        4.961150009049678,
        4.961170988157931,
        4.961191967266183,
        4.961212946374435,
        4.961233925482688,
        4.961255381388854,
        4.961276360497107,
        4.961297339605359,
        4.961318318713611,
        4.961339297821864,
        4.961360753728031,
        4.9613817328362835,
        4.961402711944535,
        4.961423691052787,
        4.96144467016104,
        4.961465649269292,
        4.961487105175459,
        4.961508084283712,
        4.961529063391963,
        4.961550042500216,
        4.961571021608468,
        4.9615920007167205,
        4.961612979824973,
        4.96163443573114,
        4.9616554148393925,
        4.961676393947644,
        4.961697373055896,
        4.961718352164149,
        4.961739331272401,
        4.961760310380654,
        4.961781289488906,
        4.961802745395072,
        4.961823724503325,
        4.961844703611577,
        4.9618656827198295,
        4.961886661828082,
        4.961907640936334,
        4.961928620044587,
        4.961949599152839,
        4.961970578261091,
        4.961991557369343,
        4.962012536477595,
        4.962033992383763,
        4.962054971492015,
        4.962075950600267,
        4.96209692970852,
        4.962117908816771,
        4.962138887925024,
        4.962159867033276,
        4.962180846141528,
        4.962201825249781,
        4.962222804358033,
        4.962243783466286,
        4.962264762574537,
        4.9622857416827895,
        4.962306720791042,
        4.962327699899294,
        4.962348679007547,
        4.962369658115799,
        4.962390637224051,
        4.962411616332303,
        4.962432595440555,
        4.962453574548808,
        4.96247455365706,
        4.962495532765312,
        4.962516511873565,
        4.962537490981817,
        4.96255847009007,
        4.962579449198321,
        4.962600428306573,
        4.962621407414826,
        4.962642386523078,
        4.962663365631331,
        4.962684344739583,
        4.962705323847835,
        4.962726302956087,
        4.962747282064339,
        4.962768261172592,
        4.962789240280844,
        4.962810219389096,
        4.962831198497349,
        4.962852177605601,
        4.962872679915939,
        4.962893659024191,
        4.9629146381324425,
        4.962935617240695,
        4.962956596348947,
        4.9629775754572,
        4.962998554565452,
        4.963019533673704,
        4.963040512781957,
        4.963061491890208,
        4.963082470998461,
        4.963102973308798,
        4.9631239524170505,
        4.963144931525303,
        4.963165910633555,
        4.963186889741808,
        4.96320786885006,
        4.963228847958312,
        4.963249827066564,
        4.963270329376901,
        4.963291308485154,
        4.963312287593406,
        4.9633332667016585,
        4.963354245809911,
        4.963375224918163,
        4.963396204026416,
        4.963416706336753,
        4.963437685445005,
        4.963458664553257,
        4.963479643661509,
        4.963500622769762,
        4.963521601878014,
        4.963542104188352,
        4.963563083296604,
        4.963584062404856,
        4.963605041513108,
        4.96362602062136,
        4.963646522931698,
        4.96366750203995,
        4.9636884811482025,
        4.963709460256455,
        4.963730439364707,
        4.963750941675045,
        4.963771920783297,
        4.963792899891549,
        4.963813878999801,
        4.963834381310138,
        4.963855360418391,
        4.963876339526643,
        4.963897318634896,
        4.963917820945233,
        4.963938800053485,
        4.963959779161738,
        4.96398075826999,
        4.964001260580327,
        4.964022239688579,
        4.9640432187968315,
        4.964064197905084,
        4.964084700215421,
        4.964105679323674,
        4.964126658431926,
        4.964147160742264,
        4.964168139850516,
        4.964189118958768,
        4.96421009806702,
        4.964230600377357,
        4.96425157948561,
        4.964272558593862,
        4.9642930609041995,
        4.964314040012452,
        4.964335019120704,
        4.964355521431042,
        4.964376500539294,
        4.9643974796475465,
        4.964417981957884,
        4.9644389610661355,
        4.964459940174388,
        4.964480442484725,
        4.964501421592978,
        4.96452240070123,
        4.9645429030115675,
        4.96456388211982,
        4.964584861228072,
        4.96460536353841,
        4.964626342646662,
        4.964647321754914,
        4.964667824065251,
        4.9646888031735035,
        4.964709305483841,
        4.964730284592093,
        4.964751263700346,
        4.964771766010683,
        4.9647927451189355,
        4.964813247429273,
        4.964834226537525,
        4.964855205645778,
        4.964875707956115,
        4.964896687064367,
        4.964917189374704,
        4.9649381684829565,
        4.964959147591209,
        4.964979649901546,
        4.965000629009799,
        4.965021131320136,
        4.965042110428389,
        4.965062612738726,
        4.9650835918469785,
        4.965104094157316,
        4.965125073265567,
        4.96514605237382,
        4.965166554684157,
        4.96518753379241,
        4.965208036102747,
        4.9652290152109995,
        4.965249517521337,
        4.965270496629589,
        4.965290998939927,
        4.965311978048179,
        4.965332480358517,
        4.965353459466769,
        4.965373961777106,
        4.965394940885358,
        4.965415443195695,
        4.965436422303948,
        4.965456924614285,
        4.965477903722538,
        4.965498406032875,
        4.9655193851411275,
        4.965539887451465,
        4.965560866559717,
        4.965581368870055,
        4.965602347978307,
        4.965622850288645,
        4.965643829396897,
        4.965664331707234,
        4.965685310815486,
        4.965705813125823,
        4.965726315436161,
        4.965747294544413,
        4.965767796854751,
        4.965788775963003,
        4.9658092782733405,
        4.965830257381593,
        4.96585075969193,
        4.965871262002268,
        4.96589224111052,
        4.965912743420858,
        4.96593372252911,
        4.9659542248394475,
        4.965974727149785,
        4.965995706258036,
        4.966016208568374,
        4.966037187676626,
        4.966057689986964,
        4.966078192297301,
        4.966099171405554,
        4.966119673715891,
        4.966140652824143,
        4.966161155134481,
        4.966181657444818,
        4.966202636553071,
        4.966223138863408,
        4.966243641173746,
        4.966264620281998,
        4.9662851225923355,
        4.966305624902673,
        4.966326604010924,
        4.966347106321262,
        4.966368085429514,
        4.966388587739852,
        4.966409090050189,
        4.9664300691584415,
        4.966450571468779,
        4.9664710737791165,
        4.966491576089454,
        4.966512555197706,
        4.966533057508044,
        4.966553559818381,
        4.966574538926634,
        4.966595041236971,
        4.9666155435473085,
        4.966636522655561,
        4.966657024965898,
        4.966677527276236,
        4.966698029586573,
        4.966719008694825,
        4.966739511005162,
        4.9667600133155,
        4.966780992423752,
        4.9668014947340895,
        4.966821997044427,
        4.966842499354764,
        4.966863478463017,
        4.966883980773354,
        4.966904483083692,
        4.966924985394029,
        4.9669459645022815,
        4.966966466812619,
        4.9669869691229565,
        4.967007471433294,
        4.967028450541546,
        4.967048952851884,
        4.967069455162221,
        4.967089957472559,
        4.967110459782896,
        4.967131438891148,
        4.967151941201485,
        4.9671724435118225,
        4.96719294582216,
        4.967213448132497,
        4.96723442724075,
        4.967254929551087,
        4.967275431861425,
        4.967295934171762,
        4.9673164364821,
        4.967337415590352,
        4.9673579179006895,
        4.967378420211027,
        4.967398922521364,
        4.967419424831702,
        4.967439927142039,
        4.967460429452377,
        4.967481408560629,
        4.967501910870967,
        4.967522413181304,
        4.9675429154916415,
        4.967563417801979,
        4.967583920112316,
        4.967604422422654,
        4.967625401530906,
        4.967645903841244,
        4.967666406151581,
        4.967686908461919,
        4.967707410772256,
        4.9677279130825935,
        4.967748415392931,
        4.967768917703268,
        4.967789420013605,
        4.967810399121857,
        4.967830901432195,
        4.967851403742532,
        4.96787190605287,
        4.967892408363207,
        4.967912910673545,
        4.967933412983882,
        4.96795391529422,
        4.967974417604557,
        4.9679949199148945,
        4.968015422225232,
        4.968035924535569,
        4.968056426845907,
        4.968077405954159,
        4.968097908264497,
        4.968118410574834,
        4.968138912885172,
        4.968159415195509,
        4.9681799175058465,
        4.968200419816184,
        4.968220922126521,
        4.968241424436859,
        4.968261926747196,
        4.968282429057534,
        4.968302931367871,
        4.968323433678209,
        4.968343935988546,
        4.968364438298884,
        4.968384940609221,
        4.9684054429195585,
        4.968425945229896,
        4.9684464475402335,
        4.968466949850571,
        4.968487452160908,
        4.968507954471246,
        4.968528456781583,
        4.968548959091921,
        4.968569461402258,
        4.968589963712596,
        4.968610466022933,
        4.968630968333271,
        4.968651470643608,
        4.9686714961560305,
        4.968691998466368,
        4.9687125007767055,
        4.968733003087043,
        4.96875350539738,
        4.968774007707718,
        4.968794510018055,
        4.968815012328392,
        4.968835514638729,
        4.968856016949067,
        4.968876519259404,
        4.968897021569742,
        4.968917523880079,
        4.9689375493925025,
        4.968958051702839,
        4.968978554013177,
        4.968999056323514,
        4.9690195586338515,
        4.969040060944189,
        4.969060563254526,
        4.969081065564864,
        4.969101567875201,
        4.969121593387624,
        4.969142095697961,
        4.969162598008299,
        4.969183100318636,
        4.969203602628974,
        4.969224104939311,
        4.969244607249649,
        4.969264632762071,
        4.9692851350724085,
        4.969305637382746,
        4.9693261396930835,
        4.969346642003421,
        4.969367144313758,
        4.969387646624096,
        4.969407672136518,
        4.969428174446856,
        4.969448676757193,
        4.969469179067531,
        4.969489681377868,
        4.969509706890291,
        4.969530209200628,
        4.969550711510966,
        4.969571213821303,
        4.9695917161316405,
        4.969611741644064,
        4.969632243954401,
        4.969652746264738,
        4.969673248575075,
        4.969693750885413,
        4.969713776397836,
        4.969734278708174,
        4.969754781018511,
        4.969775283328849,
        4.969795308841271,
        4.969815811151609,
        4.969836313461946,
        4.9698568157722836,
        4.969876841284706,
        4.9698973435950435,
        4.969917845905381,
        4.9699383482157184,
        4.969958373728141,
        4.969978876038478,
        4.969999378348816,
        4.970019403861238,
        4.970039906171576,
        4.970060408481913,
        4.970080910792251,
        4.970100936304673,
        4.970121438615011,
        4.970141940925348,
        4.970161966437771,
        4.970182468748108,
        4.970202971058446,
        4.970223473368783,
        4.970243498881206,
        4.970264001191543,
        4.970284503501881,
        4.970304529014303,
        4.9703250313246405,
        4.970345533634978,
        4.9703655591474005,
        4.970386061457738,
        4.970406563768075,
        4.970426589280498,
        4.970447091590835,
        4.970467593901173,
        4.970487619413595,
        4.970508121723933,
        4.970528147236355,
        4.970548649546693,
        4.97056915185703,
        4.970589177369453,
        4.97060967967979,
        4.970630181990128,
        4.97065020750255,
        4.970670709812888,
        4.97069073532531,
        4.970711237635648,
        4.970731739945985,
        4.970751765458409,
        4.970772267768746,
        4.970792293281169,
        4.970812795591506,
        4.9708332979018435,
        4.970853323414266,
        4.9708738257246035,
        4.970893851237026,
        4.970914353547363,
        4.970934379059786,
        4.970954881370123,
        4.970975383680461,
        4.970995409192883,
        4.971015911503221,
        4.971035937015643,
        4.971056439325981,
        4.971076464838403,
        4.971096967148741,
        4.971116992661163,
        4.971137494971501,
        4.971157520483923,
        4.971178022794261,
        4.971198048306683,
        4.971218550617021,
        4.971239052927358,
        4.971259078439781,
        4.971279580750118,
        4.971299606262541,
        4.971320108572878,
        4.971340134085302,
        4.971360636395639,
        4.971380661908062,
        4.971401164218399,
        4.971421189730822,
        4.971441215243244,
        4.971461717553582,
        4.971481743066004,
        4.9715022453763416,
        4.971522270888764,
        4.9715427731991015,
        4.971562798711524,
        4.9715833010218615,
        4.971603326534284,
        4.9716238288446215,
        4.971643854357044,
        4.9716643566673815,
        4.971684382179804,
        4.9717044076922265,
        4.971724910002564,
        4.971744935514987,
        4.971765437825324,
        4.971785463337747,
        4.971805965648085,
        4.971825991160507,
        4.97184601667293,
        4.971866518983267,
        4.97188654449569,
        4.971907046806027,
        4.97192707231845,
        4.971947097830872,
        4.97196760014121,
        4.971987625653632,
        4.97200812796397,
        4.972028153476392,
        4.972048178988815,
        4.972068681299152,
        4.972088706811575,
        4.972108732323997,
        4.972129234634335,
        4.972149260146758,
        4.972169762457096,
        4.972189787969518,
        4.972209813481941,
        4.972230315792278,
        4.972250341304701,
        4.972270366817123,
        4.972290869127461,
        4.972310894639883,
        4.972330920152306,
        4.972351422462643,
        4.972371447975066,
        4.972391473487488,
        4.972411975797826,
        4.972432001310248,
        4.972452026822671,
        4.972472529133008,
        4.972492554645432,
        4.972512580157854,
        4.972532605670277,
        4.972553107980614,
        4.972573133493037,
        4.972593159005459,
        4.972613661315797,
        4.972633686828219,
        4.972653712340642,
        4.972673737853064,
        4.972694240163402,
        4.972714265675824,
        4.972734291188247,
        4.972754316700669,
        4.972774819011007,
        4.97279484452343,
        4.972814870035853,
        4.972834895548275,
        4.972855397858613,
        4.972875423371035,
        4.972895448883458,
        4.97291547439588,
        4.972935976706218,
        4.97295600221864,
        4.972976027731063,
        4.972996053243485,
        4.973016555553823,
        4.973036581066245,
        4.973056606578669,
        4.973076632091091,
        4.973096657603514,
        4.973117159913851,
        4.973137185426274,
        4.973157210938696,
        4.973177236451119,
        4.973197261963541,
        4.973217764273879,
        4.973237789786301,
        4.973257815298724,
        4.973277840811146,
        4.973297866323569,
        4.973317891835992,
        4.97333839414633,
        4.973358419658752,
        4.973378445171175,
        4.973398470683597,
        4.97341849619602,
        4.9734385217084425,
        4.973458547220865,
        4.9734790495312025,
        4.973499075043625,
        4.9735191005560475,
        4.97353912606847,
        4.9735591515808935,
        4.973579177093316,
        4.9735992026057385,
        4.973619228118161,
        4.9736397304284985,
        4.973659755940921,
        4.9736797814533436,
        4.973699806965766,
        4.973719832478189,
        4.973739857990611,
        4.973759883503034,
        4.973779909015457,
        4.97379993452788,
        4.973819960040302,
        4.973839985552725,
        4.973860487863062,
        4.973880513375485,
        4.973900538887907,
        4.97392056440033,
        4.973940589912752,
        4.973960615425175,
        4.973980640937597,
        4.974000666450021,
        4.974020691962443,
        4.974040717474866,
        4.974060742987288,
        4.974080768499711,
        4.974100794012133,
        4.974120819524556,
        4.974140845036978,
        4.974160870549401,
        4.9741808960618235,
        4.974200921574246,
        4.974220947086669,
        4.974240972599092,
        4.9742609981115145,
        4.974281023623937,
        4.9743010491363595,
        4.974321074648782,
        4.974341100161205,
        4.974361125673627,
        4.97438115118605,
        4.974401176698472,
        4.974421202210896,
        4.974441227723318,
        4.974461253235741,
        4.974481278748163,
        4.974501304260586,
        4.974521329773008,
        4.974541355285431,
        4.974561380797853,
        4.974581406310276,
        4.974601431822698,
        4.974621457335122,
        4.974641482847544,
        4.974661508359967,
        4.974681533872389,
        4.974701559384812,
        4.9747211080993194,
        4.974741133611742,
        4.9747611591241645,
        4.974781184636587,
        4.9748012101490104,
        4.974821235661433,
        4.9748412611738555,
        4.974861286686278,
        4.9748813121987006,
        4.974901337711123,
        4.974921363223546,
        4.974940911938053,
        4.974960937450477,
        4.974980962962899,
        4.975000988475322,
        4.975021013987744,
        4.975041039500167,
        4.975061065012589,
        4.975081090525012,
        4.975100639239519,
        4.975120664751942,
        4.975140690264365,
        4.975160715776788,
        4.97518074128921,
        4.975200766801633,
        4.9752207923140555,
        4.975240341028563,
        4.975260366540986,
        4.975280392053408,
        4.975300417565831,
        4.975320443078254,
        4.975340468590677,
        4.975360017305184,
        4.975380042817607,
        4.975400068330029,
        4.975420093842452,
        4.975440119354874,
        4.975459668069382,
        4.975479693581805,
        4.975499719094228,
        4.97551974460665,
        4.975539770119073,
        4.9755593188335805,
        4.975579344346003,
        4.9755993698584255,
        4.975619395370848,
        4.975638944085357,
        4.975658969597779,
        4.975678995110202,
        4.975699020622624,
        4.975719046135047,
        4.975738594849554,
        4.975758620361977,
        4.975778645874399,
        4.975798671386823,
        4.97581822010133,
        4.975838245613753,
        4.975858271126175,
        4.975877819840683,
        4.9758978453531055,
        4.975917870865528,
        4.975937896377951,
        4.975957445092459,
        4.975977470604882,
        4.975997496117304,
        4.976017044831812,
        4.976672641964695,
        4.976692667477118,
        4.9767122161916255,
        4.976732241704048,
        4.976751790418556,
        4.976771815930978,
        4.976791364645487,
        4.976811390157909,
        4.976831415670332,
        4.976850964384839,
        4.976870989897262,
        4.976890538611769,
        4.976910564124192,
        4.9769301128387005,
        4.976950138351123,
        4.9769701638635455,
        4.976989712578053,
        4.977009738090476,
        4.977029286804983,
        4.977049312317406,
        4.977068861031914,
        4.977088886544337,
        4.977108435258844,
        4.977128460771267,
        4.9771480094857745,
        4.977168034998197,
        4.9771875837127055,
        4.977207609225128,
        4.977227157939636,
        4.977247183452058,
        4.977266732166566,
        4.977286757678988,
        4.977306306393497,
        4.977326331905919,
        4.977345880620427,
        4.9773659061328495,
        4.977385454847357,
        4.97740548035978,
        4.977425029074288,
        4.977445054586711,
        4.977464603301218,
        4.977484628813641,
        4.977504177528148,
        4.977523726242656,
        4.9775437517550785,
        4.977563300469587,
        4.9775833259820095,
        4.977602874696517,
        4.97762290020894,
        4.977642448923447,
        4.97766247443587,
        4.977682023150378,
        4.977701571864886,
        4.977721597377308,
        4.977741146091816,
        4.9777611716042385,
        4.977780720318746,
        4.977800269033255,
        4.977820294545677,
        4.977839843260185,
        4.977859868772607,
        4.977879417487115,
        4.977898966201623,
        4.977918991714046,
        4.977938540428553,
        4.977958565940976,
        4.977978114655484,
        4.977997663369991,
        4.978017688882414,
        4.978037237596922,
        4.97805678631143,
        4.978076811823852,
        4.97809636053836,
        4.978116386050782,
        4.978135934765291,
        4.9781554834797985,
        4.978175508992221,
        4.978195057706729,
        4.978214606421236,
        4.978234631933659,
        4.978254180648167,
        4.978273729362675,
        4.978293754875097,
        4.978313303589605,
        4.978332852304113,
        4.978352401018621,
        4.978372426531044,
        4.978391975245551,
        4.978411523960059,
        4.978431549472481,
        4.978451098186989,
        4.978470646901497,
        4.97849067241392,
        4.978510221128428,
        4.978529769842935,
        4.978549318557443,
        4.978569344069865,
        4.978588892784374,
        4.978608441498881,
        4.978628467011304,
        4.9786480157258115,
        4.978667564440319,
        4.978687113154828,
        4.97870713866725,
        4.978726687381758,
        4.978746236096265,
        4.978765784810773,
        4.978785810323196,
        4.978805359037704,
        4.9788249077522115,
        4.978844456466719,
        4.978864005181227,
        4.978884030693649,
        4.978903579408158,
        4.978923128122665,
        4.978942676837173,
        4.9789627023495955,
        4.978982251064103,
        4.979001799778612,
        4.979021348493119,
        4.979040897207627,
        4.979060922720049,
        4.979080471434557,
        4.979100020149065,
        4.979119568863573,
        4.979139117578081,
        4.979158666292588,
        4.979178691805011,
        4.979198240519519,
        4.979217789234027,
        4.979237337948534,
        4.979256886663042,
        4.97927643537755,
        4.979296460889973,
        4.979316009604481,
        4.979335558318988,
        4.979355107033496,
        4.979374655748003,
        4.979394204462512,
        4.9794137531770195,
        4.979433778689442,
        4.97945332740395,
        4.979472876118457,
        4.979492424832966,
        4.979511973547473,
        4.979531522261981,
        4.9795510709764885,
        4.979570619690996,
        4.979590168405505,
        4.979610193917927,
        4.979629742632435,
        4.979649291346942,
        4.97966884006145,
        4.979688388775958,
        4.979707937490466,
        4.979727486204974,
        4.979747034919481,
        4.97976658363399,
        4.979786132348497,
        4.979805681063005,
        4.9798252297775125,
        4.979845255289935,
        4.979864804004443,
        4.979884352718951,
        4.979903901433459,
        4.979923450147966,
        4.979942998862474,
        4.979962547576982,
        4.97998209629149,
        4.980001645005998,
        4.980021193720505,
        4.980040742435013,
        4.980060291149521,
        4.980802188704987,
        4.980821737419495,
        4.9808412861340035,
        4.980860834848511,
        4.980880383563019,
        4.980899932277526,
        4.980919480992034,
        4.980939029706542,
        4.98095857842105,
        4.980977650337643,
        4.98099719905215,
        4.981016747766659,
        4.981036296481166,
        4.981055845195674,
        4.9810753939101815,
        4.981094942624689,
        4.981114014541283,
        4.98113356325579,
        4.981153111970298,
        4.9811726606848055,
        4.981192209399314,
        4.9812117581138216,
        4.981230830030414,
        4.981250378744922,
        4.98126992745943,
        4.981289476173938,
        4.9813090248884455,
        4.981328096805038,
        4.981347645519547,
        4.981367194234054,
        4.981386742948562,
        4.9814062916630695,
        4.981425363579663,
        4.981444912294171,
        4.981464461008678,
        4.981484009723186,
        4.981503558437693,
        4.981522630354287,
        4.981542179068795,
        4.981561727783302,
        4.98158127649781,
        4.981600348414403,
        4.981619897128911,
        4.981639445843419,
        4.981658994557926,
        4.98167806647452,
        4.981697615189027,
        4.981717163903535,
        4.9817367126180425,
        4.981755784534636,
        4.981775333249144,
        4.981794881963651,
        4.981814430678159,
        4.981833502594752,
        4.98185305130926,
        4.981872600023768,
        4.981892148738275,
        4.981911220654869,
        4.981930769369376,
        4.981950318083884,
        4.981969390000477,
        4.981988938714985,
        4.982008487429493,
        4.982027559346085,
        4.982047108060593,
        4.9820666567751015,
        4.982085728691694,
        4.982105277406202,
        4.982124826120709,
        4.982143898037303,
        4.9821634467518106,
        4.982182995466318,
        4.982202067382912,
        4.982221616097419,
        4.982241164811927,
        4.98226023672852,
        4.982279785443027,
        4.982299334157536,
        4.982318406074128,
        4.982337954788636,
        4.9823575035031435,
        4.982376575419737,
        4.982396124134245,
        4.982415672848752,
        4.982434744765346,
        4.9824542934798535,
        4.982473365396446,
        4.982492914110954,
        4.982512462825462,
        4.982531534742055,
        4.9825510834565625,
        4.982570155373155,
        4.982589704087664,
        4.982609252802171,
        4.982628324718764,
        4.9826478734332715,
        4.982666945349865,
        4.982686494064373,
        4.98270604277888,
        4.982725114695474,
        4.9827446634099815,
        4.982763735326574,
        4.982783284041082,
        4.982802355957675,
        4.982821904672183,
        4.982840976588776,
        4.982860525303283,
        4.982880074017792,
        4.982899145934384,
        4.982918694648892,
        4.982937766565485,
        4.982957315279993,
        4.982976387196586,
        4.982995935911093,
        4.983015007827687,
        4.9830345565421945,
        4.983053628458787,
        4.983073177173295,
        4.983092249089888,
        4.983111797804396,
        4.983130869720989,
        4.983150418435496,
        4.98316949035209,
        4.983189039066597,
        4.98320811098319,
        4.9832276596976985,
        4.983246731614291,
        4.983266280328799,
        4.9832853522453915,
        4.9833049009599,
        4.983323972876493,
        4.983343521591,
        4.983362593507594,
        4.983382142222101,
        4.983401214138694,
        4.983420762853202,
        4.983439834769795,
        4.983458906686388,
        4.9834784554008955,
        4.983497527317488,
        4.983517076031997,
        4.983536147948589,
        4.983555696663097,
        4.9835747685796905,
        4.983594317294198,
        4.983613389210791,
        4.9836324611273835,
        4.983652009841892,
        4.983671081758485,
        4.983690630472992,
        4.983709702389586,
        4.983728774306178,
        4.983748323020686,
        4.983767394937279,
        4.983786943651787,
        4.98380601556838,
        4.9838250874849725,
        4.983844636199481,
        4.983863708116074,
        4.983883256830581,
        4.983902328747174,
        4.9839214006637675,
        4.983940949378275,
        4.983960021294868,
        4.983979093211461,
        4.983998641925969,
        4.984017713842562,
        4.984036785759155,
        4.984056334473663,
        4.9840754063902555,
        4.984094478306848,
        4.984114027021357,
        4.984133098937949,
        4.984152170854542,
        4.9841717195690505,
        4.984190791485643,
        4.984209863402236,
        4.984229412116743,
        4.984248484033337,
        4.98426755594993,
        4.984287104664437,
        4.984306176581031,
        4.9843252484976235,
        4.984344797212131,
        4.984363869128724,
        4.984382941045317,
        4.98440201296191,
        4.984421561676418,
        4.984440633593011,
        4.984459705509604,
        4.984479254224111,
        4.984498326140705,
        4.984517398057298,
        4.98453646997389,
        4.984556018688398,
        4.9845750906049915,
        4.984594162521584,
        4.984613234438177,
        4.984632783152685,
        4.984651855069278,
        4.984670926985871,
        4.984689998902464,
        4.984709547616972,
        4.9847286195335645,
        4.984747691450158,
        4.984766763366751,
        4.984786312081258,
        4.984805383997851,
        4.984824455914445,
        4.984843527831037,
        4.98486259974763,
        4.984882148462138,
        4.984901220378731,
        4.984920292295324,
        4.984939364211917,
        4.98495843612851,
        4.984977984843018,
        4.984997056759611,
        4.985016128676204,
        4.9850352005927965,
        4.98505427250939,
        4.985073821223898,
        4.98509289314049,
        4.985111965057083,
        4.9851310369736765,
        4.985150108890269,
        4.985169180806862,
        4.98518872952137,
        4.985207801437963,
        4.985226873354556,
        4.985245945271149,
        4.985265017187742,
        4.985284089104335,
        4.985303161020928,
        4.985322709735436,
        4.9853417816520285,
        4.985360853568622,
        4.985379925485215,
        4.985398997401807,
        4.985418069318401,
        4.985437141234994,
        4.985456213151586,
        4.985475761866094,
        4.985494833782687,
        4.98551390569928,
        4.985532977615873,
        4.985552049532466,
        4.985571121449059,
        4.985590193365652,
        4.985609265282245,
        4.985628337198838,
        4.985647409115431,
        4.985666481032024,
        4.985685552948617,
        4.985705101663124,
        4.985724173579718,
        4.985743245496311,
        4.985762317412903,
        4.985781389329497,
        4.9858004612460896,
        4.985819533162682,
        4.985838605079276,
        4.9858576769958685,
        4.985876748912461,
        4.985895820829055,
        4.985914892745647,
        4.98593396466224,
        4.985953036578834,
        4.985972108495426,
        4.985991180412019,
        4.9860102523286125,
        4.986029324245205,
        4.986048396161798,
        4.986067468078391,
        4.986086539994984,
        4.986105611911577,
        4.98612468382817,
        4.986143755744763,
        4.986162827661356,
        4.986181899577949,
        4.986200971494542,
        4.986220043411135,
        4.986239115327728,
        4.986258187244321,
        4.9862772591609135,
        4.986296331077507,
        4.9863154029941,
        4.986334474910692,
        4.986353546827286,
        4.986372618743879,
        4.986391690660471,
        4.986410762577065,
        4.9864298344936575,
        4.98644890641025,
        4.986467978326844,
        4.986487050243436,
        4.986506122160029,
        4.986524717278708,
        4.9865437891953,
        4.986562861111893,
        4.986581933028487,
        4.986601004945079,
        4.986620076861672,
        4.9866391487782655,
        4.986658220694858,
        4.986677292611451,
        4.986696364528044,
        4.986715436444637,
        4.986734031563315,
        4.986753103479908,
        4.986772175396501,
        4.986791247313094,
        4.986810319229687,
        4.98682939114628,
        4.986848463062873,
        4.986867534979466,
        4.986886606896059,
        4.9869052020147375,
        4.98692427393133,
        4.986943345847923,
        4.986962417764516,
        4.986981489681109,
        4.987000561597702,
        4.987019633514295,
        4.987038228632973,
        4.987057300549566,
        4.987076372466159,
        4.987095444382752,
        4.987114516299345,
        4.987133588215938,
        4.987152183334616,
        4.987171255251209,
        4.987190327167802,
        4.987209399084395,
        4.9872284710009875,
        4.987247066119666,
        4.987266138036259,
        4.987285209952852,
        4.987304281869445,
        4.987323353786038,
        4.987341948904716,
        4.987361020821309,
        4.987380092737902,
        4.987399164654495,
        4.987418236571088,
        4.987436831689766,
        4.987455903606359,
        4.987474975522952,
        4.987494047439545,
        4.987512642558223,
        4.987531714474816,
        4.9875507863914095,
        4.987569858308002,
        4.98758845342668,
        4.9876075253432735,
        4.987626597259866,
        4.987645669176459,
        4.987664264295137,
        4.98768333621173,
        4.987702408128324,
        4.987721480044916,
        4.987740075163594,
        4.987759147080188,
        4.98777821899678,
        4.987796814115458,
        4.987815886032052,
        4.987834957948644,
        4.987854029865237,
        4.987872624983916,
        4.987891696900508,
        4.987910768817102,
        4.98792936393578,
        4.987948435852372,
        4.987967507768966,
        4.9879861028876435,
        4.988005174804236,
        4.98802424672083,
        4.9880428418395075,
        4.988061913756101,
        4.988080985672694,
        4.9880995807913715,
        4.988118652707965,
        4.988137724624558,
        4.9881563197432355,
        4.988175391659829,
        4.988194463576422,
        4.9882130586951,
        4.988232130611693,
        4.988251202528286,
        4.988269797646964,
        4.988288869563557,
        4.98830794148015,
        4.988326536598828,
        4.988345608515421,
        4.9883642036341,
        4.988383275550692,
        4.988402347467285,
        4.988420942585964,
        4.988440014502556,
        4.988458609621234,
        4.988477681537828,
        4.98849675345442,
        4.988515348573099,
        4.9885344204896915,
        4.988553015608369,
        4.988572087524963,
        4.9885911594415555,
        4.988609754560233,
        4.988628826476827,
        4.988647421595505,
        4.988666493512098,
        4.988685088630776,
        4.9887041605473685,
        4.988723232463962,
        4.98874182758264,
        4.9887608994992325,
        4.988779494617911,
        4.988798566534504,
        4.9888171616531825,
        4.988836233569775,
        4.988854828688453,
        4.988873900605046,
        4.988892495723724,
        4.988911567640318,
        4.9889301627589955,
        4.988949234675588,
        4.988968306592182,
        4.9889869017108595,
        4.989005973627453,
        4.989024568746131,
        4.989043640662723,
        4.989062235781402,
        4.989081307697995,
        4.989099902816673,
        4.989118974733266,
        4.989137569851944,
        4.989156641768537,
        4.989175236887215,
        4.989193832005894,
        4.989212903922486,
        4.989231499041164,
        4.989250570957758,
        4.9892691660764354,
        4.989288237993028,
        4.989306833111707,
        4.989325905028299,
        4.989344500146978,
        4.989363572063571,
        4.9893821671822485,
        4.989401239098842,
        4.98941983421752,
        4.989438429336198,
        4.989457501252791,
        4.989476096371469,
        4.989495168288062,
        4.98951376340674,
        4.989532835323334,
        4.989551430442011,
        4.989570025560689,
        4.989589097477283,
        4.9896076925959605,
        4.989626764512554,
        4.989645359631232,
        4.9896639547499095,
        4.989683026666503,
        4.989701621785181,
        4.989720693701774,
        4.989739288820452,
        4.98975788393913,
        4.9897769558557235,
        4.989795550974401,
        4.98981414609308,
        4.9898332180096725,
        4.989851813128351,
        4.989870885044944,
        4.9898894801636215,
        4.9899080752823,
        4.989927147198893,
        4.9899457423175715,
        4.989964337436249,
        4.993061616690947,
        4.996608993177239,
        4.996631402679236,
        4.996653335383318,
        4.996675744885315,
        4.996698154387311,
        4.996720563889308,
        4.99674249659339,
        4.996764906095387,
        4.996787315597383,
        4.99680972509938,
        4.996831657803462,
        4.996854067305459,
        4.996876476807455,
        4.996898409511537,
        4.996920819013535,
        4.996943228515531,
        4.996965638017528,
        4.996987570721609,
        4.9970099802236065,
        4.997032389725603,
        4.997054322429685,
        4.997076731931681,
        4.9970991414336785,
        4.997121074137761,
        4.997143483639757,
        4.997165893141754,
        4.9971878258458355,
        4.997210235347833,
        4.997232644849829,
        4.997254577553911,
        4.9972769870559075,
        4.997299396557905,
        4.997321329261987,
        4.997343738763983,
        4.99736614826598,
        4.997388080970062,
        4.997410490472059,
        4.997432899974055,
        4.997454832678137,
        4.997477242180134,
        4.997499174884216,
        4.997521584386213,
        4.997543993888209,
        4.997565926592292,
        4.997588336094288,
        4.99761026879837,
        4.997632678300366,
        4.997655087802364,
        4.997677020506446,
        4.997699430008442,
        4.997721362712524,
        4.997743772214521,
        4.997766181716518,
        4.997788114420599,
        4.997810523922596,
        4.9978324566266785,
        4.997854866128675,
        4.997876798832757,
        4.997899208334753,
        4.997921141038836,
        4.997943550540832,
        4.997965960042829,
        4.997987892746911,
        4.9980103022489075,
        4.99803223495299,
        4.998054644454986,
        4.998076577159068,
        4.998098986661065,
        4.998120919365147,
        4.998143328867143,
        4.998165261571225,
        4.9981876710732225,
        4.998209603777304,
        4.998232013279301,
        4.998253945983382,
        4.9982763554853795,
        4.998298288189462,
        4.998320697691458,
        4.99834263039554,
        4.9983650398975366,
        4.998386972601619,
        4.998409382103615,
        4.998431314807697,
        4.9984537243096945,
        4.998475657013776,
        4.998497589717858,
        4.998519999219854,
        4.998541931923937,
        4.998564341425933,
        4.998586274130015,
        4.998608683632012,
        4.998630616336094,
        4.998653025838091,
        4.998674958542172,
        4.998696891246254,
        4.9987193007482515,
        4.998741233452333,
        4.99876364295433,
        4.998785575658411,
        4.998807508362494,
        4.99882991786449,
        4.998851850568572,
        4.998874260070569,
        4.998896192774651,
        4.998918125478733,
        4.998940534980729,
        4.9989624676848115,
        4.998984877186809,
        4.99900680989089,
        4.999028742594972,
        4.9990511520969685,
        4.999073084801051,
        4.999095017505133,
        4.999117427007129,
        4.9991393597112115,
        4.999161292415293,
        4.99918370191729,
        4.999205634621372,
        4.999227567325454,
        4.999249976827451,
        4.999271909531532,
        4.999293842235614,
        4.999316251737611,
        4.999338184441693,
        4.999360117145775,
        4.999382526647771,
        4.999404459351854,
        4.999426392055935,
        4.999448801557932,
        4.999470734262014,
        4.999492666966096,
        4.999514599670178,
        4.999537009172174,
        4.9995589418762565,
        4.999580874580339,
        4.999603284082335,
        4.999625216786417,
        4.999647149490499,
        4.999669082194581,
        4.999691491696578,
        4.999713424400659,
        4.999735357104742,
        4.999757289808824,
        4.99977969931082,
        4.999801632014902,
        4.999823564718984,
        4.999845497423066,
        4.999867906925062,
        4.9998898396291445,
        4.999911772333227,
        4.999933705037308,
        4.99995563774139,
        4.999978047243387,
        4.999999979947469,
        5.000021912651551,
        5.000043845355632,
        5.000065778059715,
        5.000088187561712,
        5.000110120265793,
        5.000132052969875,
        5.000153985673957,
        5.000175918378039,
        5.000197851082121,
        5.0002202605841175,
        5.0002421932882,
        5.000264125992281,
        5.000286058696363,
        5.000307991400446,
        5.000329924104527,
        5.000352333606524,
        5.000374266310606,
        5.000396199014688,
        5.00041813171877,
        5.000440064422851,
        5.0004619971269335,
        5.000483929831016,
        5.000506339333012,
        5.000528272037094,
        5.000550204741176,
        5.000572137445258,
        5.00059407014934,
        5.0006160028534214,
        5.000637935557504,
        5.000659868261586,
        5.000681800965667,
        5.0007037336697495,
        5.000726143171746,
        5.000748075875828,
        5.00077000857991,
        5.000791941283992,
        5.000813873988074,
        5.000835806692156,
        5.0008577393962375,
        5.00087967210032,
        5.000901604804401,
        5.000923537508483,
        5.0009454702125655,
        5.000967402916647,
        5.000989335620729,
        5.001011268324811,
        5.001033201028893,
        5.001055133732975,
        5.001077066437057,
        5.0010989991411385,
        5.001121408643136,
        5.001143341347217,
        5.001165274051299,
        5.0011872067553815,
        5.001209139459463,
        5.001231072163545,
        5.0012530048676265,
        5.001274937571709,
        5.001296870275791,
        5.001318802979872,
        5.0013407356839545,
        5.001362668388037,
        5.001384124294203,
        5.001406056998285,
        5.001427989702368,
        5.001449922406449,
        5.001471855110531,
        5.0014937878146135,
        5.001515720518695,
        5.001537653222777,
        5.0015595859268585,
        5.001581518630941,
        5.001603451335023,
        5.001625384039104,
        5.0016473167431865,
        5.001669249447269,
        5.00169118215135,
        5.002892712896707,
        5.002914645600789,
        5.002936578304871,
        5.002958034211038,
        5.00297996691512,
        5.0030018996192025,
        5.003023355525369,
        5.003045288229451,
        5.003067220933533,
        5.003089153637615,
        5.003110609543782,
        5.003132542247864,
        5.003154474951946,
        5.003175930858113,
        5.003197863562195,
        5.0032197962662766,
        5.003241252172444,
        5.003263184876526,
        5.0032851175806075,
        5.003306573486775,
        5.003328506190857,
        5.003350438894938,
        5.003371894801106,
        5.003393827505188,
        5.003415760209269,
        5.003437216115437,
        5.003459148819519,
        5.003480604725685,
        5.0035025374297675,
        5.00352447013385,
        5.003545926040016,
        5.003567858744098,
        5.003589791448181,
        5.003611247354347,
        5.003633180058429,
        5.003654635964597,
        5.003676568668678,
        5.00369850137276,
        5.0037199572789275,
        5.003741889983009,
        5.003763345889176,
        5.003785278593258,
        5.00380721129734,
        5.003828667203507,
        5.003850599907589,
        5.003872055813757,
        5.003893988517838,
        5.003915444424005,
        5.0039373771280875,
        5.003958833034254,
        5.003980765738336,
        5.004002698442418,
        5.004024154348585,
        5.004046087052667,
        5.004067542958834,
        5.004089475662916,
        5.004110931569083,
        5.004132864273165,
        5.004154320179332,
        5.004176252883414,
        5.004197708789581,
        5.0042196414936635,
        5.00424109739983,
        5.004263030103912,
        5.0042844860100795,
        5.004306418714161,
        5.004327874620328,
        5.00434980732441,
        5.004371263230577,
        5.004393195934659,
        5.004414651840826,
        5.004436584544908,
        5.004458040451075,
        5.004479973155157,
        5.004501429061325,
        5.004523361765406,
        5.004544817671573,
        5.0045662735777405,
        5.004588206281822,
        5.004609662187989,
        5.004631594892071,
        5.004653050798238,
        5.00467498350232,
        5.004696439408487,
        5.004717895314655,
        5.004739828018736,
        5.004761283924903,
        5.004783216628986,
        5.004804672535152,
        5.004826605239234,
        5.004848061145402,
        5.004869517051568,
        5.00489144975565,
        5.004912905661818,
        5.004934838365899,
        5.004956294272066,
        5.0049777501782335,
        5.004999682882316,
        5.005021138788482,
        5.0050425946946495,
        5.005064527398732,
        5.005085983304899,
        5.00510791600898,
        5.005129371915148,
        5.005150827821315,
        5.005172760525396,
        5.005194216431564,
        5.005215672337731,
        5.005237605041812,
        5.00525906094798,
        5.005280516854147,
        5.005302449558229,
        5.005323905464396,
        5.005345361370563,
        5.005367294074645,
        5.005388749980812,
        5.005410205886979,
        5.005431661793146,
        5.0054535944972285,
        5.005475050403395,
        5.005496506309562,
        5.0055184390136445,
        5.005539894919811,
        5.005561350825978,
        5.00558328353006,
        5.005604739436228,
        5.005626195342394,
        5.0056476512485615,
        5.005669583952644,
        5.00569103985881,
        5.0057124957649775,
        5.005733951671145,
        5.005755884375227,
        5.005777340281393,
        5.005798796187561,
        5.005820252093728,
        5.005842184797809,
        5.005863640703977,
        5.005885096610144,
        5.005906552516311,
        5.005928485220393,
        5.00594994112656,
        5.005971397032727,
        5.005992852938895,
        5.006014308845061,
        5.006036241549143,
        5.006057697455311,
        5.006079153361477,
        5.006100609267644,
        5.006122065173812,
        5.006143997877894,
        5.00616545378406,
        5.006186909690228,
        5.006208365596395,
        5.006229821502562,
        5.006251277408729,
        5.006273210112811,
        5.006294666018978,
        5.006316121925145,
        5.006337577831312,
        5.006359033737479,
        5.006380489643647,
        5.006402422347728,
        5.006423878253895,
        5.0064453341600625,
        5.00646679006623,
        5.006488245972396,
        5.006509701878564,
        5.006531157784731,
        5.006552613690898,
        5.00657454639498,
        5.006596002301147,
        5.006617458207314,
        5.006638914113481,
        5.006660370019648,
        5.006681825925815,
        5.0067032818319825,
        5.006724737738149,
        5.006746193644316,
        5.006767649550484,
        5.006789582254566,
        5.006811038160732,
        5.0068324940669,
        5.006853949973067,
        5.006875405879234,
        5.006896861785401,
        5.006918317691568,
        5.006939773597735,
        5.0069612295039025,
        5.006982685410069,
        5.007004141316236,
        5.007025597222404,
        5.007047053128571,
        5.007068509034737,
        5.007089964940905,
        5.007111420847072,
        5.007132876753239,
        5.007154332659406,
        5.007175788565573,
        5.00719724447174,
        5.007218700377908,
        5.007240156284074,
        5.007261612190241,
        5.007283068096409,
        5.007304524002576,
        5.007325979908742,
        5.00734743581491,
        5.007368891721077,
        5.007390347627244,
        5.007411803533411,
        5.007433259439578,
        5.007454715345745,
        5.007476171251913,
        5.007497627158079,
        5.007519083064246,
        5.007540538970414,
        5.007561994876581,
        5.0075834507827475,
        5.007604906688915,
        5.007626362595082,
        5.007647818501249,
        5.007669274407416,
        5.007690730313583,
        5.0077121862197504,
        5.007733642125918,
        5.007755098032084,
        5.007776077140337,
        5.007797533046504,
        5.007818988952671,
        5.007840444858838,
        5.007861900765005,
        5.007883356671172,
        5.0079048125773395,
        5.007926268483506,
        5.007947724389673,
        5.007969180295841,
        5.007990159404093,
        5.00801161531026,
        5.008033071216427,
        5.008054527122594,
        5.008075983028761,
        5.008097438934929,
        5.008118894841095,
        5.0081398739493475,
        5.008161329855515,
        5.008182785761682,
        5.0082042416678485,
        5.008225697574016,
        5.008247153480183,
        5.00826860938635,
        5.008289588494603,
        5.008311044400769,
        5.0083325003069366,
        5.008353956213104,
        5.008375412119271,
        5.008396391227523,
        5.00841784713369,
        5.008439303039857,
        5.008460758946025,
        5.008482214852191,
        5.008503193960443,
        5.008524649866611,
        5.008546105772778,
        5.008567561678945,
        5.008589017585112,
        5.008609996693364,
        5.0086314525995315,
        5.008652908505699,
        5.008674364411865,
        5.008695343520118,
        5.008716799426285,
        5.008738255332452,
        5.008759711238619,
        5.008780690346871,
        5.008802146253038,
        5.008823602159206,
        5.008845058065373,
        5.008866037173624,
        5.008887493079792,
        5.008908948985959,
        5.008930404892126,
        5.008951384000379,
        5.008972839906545,
        5.0089942958127125,
        5.009015274920965,
        5.009036730827132,
        5.009058186733299,
        5.009079642639466,
        5.009100621747718,
        5.009122077653886,
        5.009143533560053,
        5.009164512668304,
        5.009185968574472,
        5.009207424480639,
        5.009228403588891,
        5.009249859495059,
        5.009271315401225,
        5.0092922945094775,
        5.009313750415645,
        5.009335206321812,
        5.009356185430065,
        5.009377641336231,
        5.009399097242398,
        5.009420076350651,
        5.009441532256818,
        5.009462988162984,
        5.009483967271237,
        5.009505423177404,
        5.0095264022856565,
        5.009547858191824,
        5.00956931409799,
        5.009590293206243,
        5.00961174911241,
        5.009632728220662,
        5.00965418412683,
        5.009675640032996,
        5.009696619141248,
        5.009718075047416,
        5.009739054155668,
        5.009760510061835,
        5.009781965968002,
        5.009802945076254,
        5.0098244009824215,
        5.009845380090674,
        5.009866835996841,
        5.009887815105093,
        5.00990927101126,
        5.009930726917427,
        5.00995170602568,
        5.009973161931847,
        5.0099941410400985,
        5.010015596946266,
        5.010036576054518,
        5.0100580319606856,
        5.010079011068938,
        5.010100466975104,
        5.010121446083357,
        5.010142901989524,
        5.010164357895691,
        5.010185337003944,
        5.01020679291011,
        5.010227772018363,
        5.01024922792453,
        5.010270207032782,
        5.01029166293895,
        5.010312642047201,
        5.010334097953368,
        5.010355077061621,
        5.010376056169873,
        5.0103975120760404,
        5.010418491184293,
        5.010439947090459,
        5.010460926198712,
        5.010482382104879,
        5.010503361213131,
        5.010524817119299,
        5.01054579622755,
        5.0105672521337175,
        5.01058823124197,
        5.010609687148137,
        5.0106306662563895,
        5.010651645364642,
        5.010673101270808,
        5.010694080379061,
        5.010715536285228,
        5.01073651539348,
        5.010757971299647,
        5.010778950407899,
        5.010799929516152,
        5.010821385422319,
        5.010842364530571,
        5.010863820436739,
        5.01088479954499,
        5.0109057786532425,
        5.01092723455941,
        5.010948213667662,
        5.0109696695738295,
        5.010990648682082,
        5.011011627790333,
        5.011033083696501,
        5.011054062804753,
        5.0110750419130055,
        5.011096497819173,
        5.011117476927425,
        5.011138456035677,
        5.011159911941844,
        5.011180891050096,
        5.011202346956264,
        5.011223326064516,
        5.0112443051727675,
        5.011265761078935,
        5.011286740187187,
        5.01130771929544,
        5.011329175201607,
        5.011350154309859,
        5.011371133418111,
        5.011392112526363,
        5.0114135684325305,
        5.011434547540783,
        5.011455526649035,
        5.011476982555203,
        5.011497961663454,
        5.0115189407717065,
        5.011540396677874,
        5.011561375786126,
        5.0115823548943785,
        5.011603334002631,
        5.011624789908797,
        5.01164576901705,
        5.011666748125302,
        5.0116877272335545,
        5.011709183139722,
        5.011730162247974,
        5.011751141356226,
        5.011772120464478,
        5.011793576370645,
        5.011814555478898,
        5.01183553458715,
        5.0118565136954025,
        5.011877969601569,
        5.011898948709821,
        5.011919927818074,
        5.011940906926326,
        5.011962362832493,
        5.011983341940746,
        5.012004321048997,
        5.01202530015725,
        5.012046279265502,
        5.012067735171669,
        5.012088714279922,
        5.012109693388174,
        5.0121306724964265,
        5.012151651604678,
        5.012173107510845,
        5.012194086619098,
        5.01221506572735,
        5.0122360448356025,
        5.012257023943855,
        5.012278003052107,
        5.012299458958274,
        5.012320438066526,
        5.012341417174778,
        5.012362396283031,
        5.012383375391283,
        5.012404354499536,
        5.012425333607787,
        5.012446789513954,
        5.012467768622207,
        5.012488747730459,
        5.0125097268387115,
        5.012530705946964,
        5.012551685055216,
        5.012572664163468,
        5.01259364327172,
        5.0126150991778875,
        5.01263607828614,
        5.012657057394392,
        5.012678036502645,
        5.012699015610896,
        5.0127199947191485,
        5.012740973827401,
        5.012761952935653,
        5.012782932043906,
        5.012803911152158,
        5.0128248902604104,
        5.012845869368663,
        5.012867325274829,
        5.012888304383082,
        5.012909283491334,
        5.012930262599586,
        5.012951241707839,
        5.012972220816091,
        5.012993199924344,
        5.013014179032595,
        5.013035158140847,
        5.0130561372491,
        5.013077116357352,
        5.013098095465605,
        5.013119074573857,
        5.013140053682109,
        5.013161032790361,
        5.013182011898613,
        5.013202991006866,
        5.013223970115118,
        5.01324494922337,
        5.013265928331623,
        5.013286907439875,
        5.013307886548127,
        5.013328865656379,
        5.013349844764631,
        5.013370823872884,
        5.013391802981136,
        5.013412782089389,
        5.013433761197641,
        5.013454740305893,
        5.013475719414145,
        5.013496698522397,
        5.01351767763065,
        5.013538656738902,
        5.013559635847154,
        5.013580614955407,
        5.013601594063659,
        5.013622573171911,
        5.013643075482248,
        5.0136640545905005,
        5.013685033698753,
        5.013706012807005,
        5.013726991915258,
        5.01374797102351,
        5.013768950131762,
        5.013789929240015,
        5.013810908348266,
        5.013831887456519,
        5.013852866564771,
        5.013873845673023,
        5.013894347983361,
        5.013915327091613,
        5.013936306199866,
        5.013957285308118,
        5.0139782644163695,
        5.013999243524622,
        5.014020222632874,
        5.014041201741127,
        5.014061704051464,
        5.0140826831597165,
        5.014103662267969,
        5.014124641376221,
        5.014145620484473,
        5.014166599592725,
        5.0141875787009775,
        5.014208081011315,
        5.014229060119567,
        5.01425003922782,
        5.014271018336072,
        5.0142919974443245,
        5.014312976552577,
        5.014333478862914,
        5.014354457971166,
        5.014375437079418,
        5.014396416187671,
        5.014417395295923,
        5.0144378976062605,
        5.014458876714513,
        5.014479855822765,
        5.014500834931018,
        5.014521814039269,
        5.014542316349607,
        5.014563295457859,
        5.014584274566111,
        5.014605253674364,
        5.014625755984701,
        5.0146467350929536,
        5.014667714201206,
        5.014688693309458,
        5.014709195619796,
        5.014730174728047,
        5.0147511538363,
        5.014772132944552,
        5.0147926352548895,
        5.014813614363142,
        5.014834593471394,
        5.014855572579647,
        5.014876074889984,
        5.0148970539982365,
        5.014918033106488,
        5.01493901221474,
        5.014959514525078,
        5.01498049363333,
        5.015001472741583,
        5.01502197505192,
        5.015042954160172,
        5.015063933268425,
        5.015084435578762,
        5.015105414687015,
        5.015126393795266,
        5.0151473729035185,
        5.015167875213856,
        5.015188854322108,
        5.015209833430361,
        5.015230335740698,
        5.015251314848951,
        5.015272293957203,
        5.01529279626754,
        5.015313775375793,
        5.015334754484044,
        5.015355256794382,
        5.015376235902634,
        5.015396738212972,
        5.015417717321224,
        5.015438696429476,
        5.015459198739814,
        5.015480177848066,
        5.015501156956319,
        5.015521659266656,
        5.015542638374908,
        5.015563140685246,
        5.015584119793497,
        5.01560509890175,
        5.015625601212087,
        5.01564658032034,
        5.015667082630677,
        5.0156880617389294,
        5.015709040847182,
        5.015729543157519,
        5.015750522265772,
        5.015771024576109,
        5.0157920036843615,
        5.015812505994699,
        5.0158334851029505,
        5.015854464211203,
        5.01587496652154,
        5.015895945629793,
        5.01854098206228,
        5.021726707330178,
        5.0217467328426,
        5.021767235152938,
        5.021787737463275,
        5.021807762975698,
        5.021828265286035,
        5.0218482907984585,
        5.021868793108796,
        5.0218888186212185,
        5.021909320931556,
        5.0219293464439785,
        5.021949848754316,
        5.0219698742667385,
        5.021990376577076,
        5.0220104020894984,
        5.022030904399836,
        5.022051406710173,
        5.022071432222596,
        5.022091934532933,
        5.022111960045356,
        5.022132462355693,
        5.022152487868116,
        5.022172990178453,
        5.022193015690876,
        5.022213518001213,
        5.022233543513636,
        5.022253569026058,
        5.022274071336396,
        5.022294096848818,
        5.022314599159156,
        5.022334624671579,
        5.022355126981917,
        5.022375152494339,
        5.022395654804677,
        5.022415680317099,
        5.022436182627437,
        5.022456208139859,
        5.022476710450197,
        5.022496735962619,
        5.022516761475042,
        5.022537263785379,
        5.022557289297802,
        5.022577791608139,
        5.022597817120562,
        5.022618319430899,
        5.022638344943322,
        5.022658370455744,
        5.022678872766082,
        5.022698898278504,
        5.022719400588842,
        5.022739426101264,
        5.0227594516136875,
        5.022779953924025,
        5.0227999794364475,
        5.022820481746785,
        5.0228405072592075,
        5.02286053277163,
        5.0228810350819675,
        5.02290106059439,
        5.0229210861068125,
        5.02294158841715,
        5.0229616139295725,
        5.02298211623991,
        5.0230021417523325,
        5.023022167264755,
        5.0230426695750925,
        5.023062695087515,
        5.0230827205999375,
        5.023103222910275,
        5.023123248422698,
        5.023143273935121,
        5.023163776245458,
        5.023183801757881,
        5.0232038272703035,
        5.023224329580641,
        5.023244355093063,
        5.023264380605486,
        5.0232844061179085,
        5.023304908428246,
        5.0233249339406685,
        5.023344959453091,
        5.0233654617634285,
        5.023385487275851,
        5.0234055127882735,
        5.023426015098611,
        5.023446040611034,
        5.023466066123457,
        5.0234860916358794,
        5.023506593946217,
        5.023526619458639,
        5.023546644971062,
        5.0235666704834845,
        5.023587172793822,
        5.0236071983062445,
        5.023627223818667,
        5.0236472493310895,
        5.023667751641427,
        5.0236877771538495,
        5.023707802666272,
        5.0237278281786955,
        5.023748330489033,
        5.023768356001455,
        5.023788381513878,
        5.0238084070263005,
        5.023828432538723,
        5.0238489348490605,
        5.023868960361483,
        5.0238889858739055,
        5.023909011386328,
        5.023929036898751,
        5.023949539209088,
        5.023969564721511,
        5.023989590233934,
        5.0240096157463565,
        5.024029641258779,
        5.0240501435691165,
        5.024070169081539,
        5.0240901945939616,
        5.024110220106384,
        5.024130245618807,
        5.024150271131229,
        5.024170773441567,
        5.024190798953989,
        5.024210824466412,
        5.024230849978835,
        5.024250875491258,
        5.02427090100368,
        5.024290926516103,
        5.02431142882644,
        5.024331454338863,
        5.024351479851285,
        5.024371505363708,
        5.02439153087613,
        5.024411556388553,
        5.024431581900975,
        5.024451607413398,
        5.024471632925821,
        5.024492135236159,
        5.024512160748581,
        5.024532186261004,
        5.024552211773426,
        5.024572237285849,
        5.024592262798271,
        5.024612288310694,
        5.024632313823116,
        5.024652339335539,
        5.024672364847961,
        5.024692390360385,
        5.024712415872807,
        5.02473244138523,
        5.024752943695567,
        5.02477296920799,
        5.024792994720412,
        5.024813020232835,
        5.0248330457452575,
        5.02485307125768,
        5.0248730967701025,
        5.024893122282525,
        5.0249131477949485,
        5.024933173307371,
        5.0249531988197935,
        5.024973224332216,
        5.024993249844639,
        5.025013275357061,
        5.025033300869484,
        5.025053326381906,
        5.025073351894329,
        5.025093377406751,
        5.025113402919175,
        5.025133428431597,
        5.02515345394402,
        5.025173479456442,
        5.025193504968865,
        5.025213530481287,
        5.02523355599371,
        5.025253581506132,
        5.025273607018555,
        5.025293632530977,
        5.025313658043401,
        5.025333683555823,
        5.025353709068246,
        5.025373734580668,
        5.025393760093091,
        5.0254133088075985,
        5.025433334320021,
        5.025453359832444,
        5.025473385344866,
        5.0254934108572895,
        5.025513436369712,
        5.025533461882135,
        5.025553487394557,
        5.02557351290698,
        5.025593538419402,
        5.025613563931825,
        5.025633589444247,
        5.02565361495667,
        5.025673163671178,
        5.025693189183601,
        5.025713214696023,
        5.025733240208446,
        5.025753265720868,
        5.025773291233291,
        5.025793316745713,
        5.025813342258136,
        5.0258333677705584,
        5.025852916485067,
        5.0258729419974895,
        5.025892967509912,
        5.0259129930223345,
        5.025933018534757,
        5.02595304404718,
        5.025973069559602,
        5.02599261827411,
        5.026012643786532,
        5.026032669298956,
        5.026052694811378,
        5.026072720323801,
        5.026092745836223,
        5.026112294550731,
        5.026132320063153,
        5.026152345575576,
        5.026172371087998,
        5.026192396600421,
        5.026211945314929,
        5.026231970827352,
        5.0262519963397745,
        5.026272021852197,
        5.0262920473646195,
        5.026311596079127,
        5.02633162159155,
        5.026351647103973,
        5.026371672616396,
        5.026391698128818,
        5.026411246843326,
        5.026431272355748,
        5.026451297868171,
        5.026471323380593,
        5.026490872095101,
        5.026510897607524,
        5.026530923119947,
        5.026550948632369,
        5.026570497346877,
        5.0265905228592995,
        5.026610548371722,
        5.026630573884145,
        5.026650122598652,
        5.026670148111076,
        5.026690173623498,
        5.026710199135921,
        5.026729747850428,
        5.026749773362851,
        5.026769798875273,
        5.026789347589781,
        5.026809373102204,
        5.026829398614627,
        5.0268489473291345,
        5.026868972841557,
        5.0268889983539795,
        5.026909023866402,
        5.02692857258091,
        5.026948598093332,
        5.026968623605756,
        5.026988172320263,
        5.027008197832686,
        5.027028223345108,
        5.027047772059616,
        5.027067797572038,
        5.027087823084461,
        5.027107371798969,
        5.027127397311392,
        5.027147422823814,
        5.027166971538322,
        5.027186997050745,
        5.027206545765252,
        5.027226571277675,
        5.027246596790098,
        5.027266145504606,
        5.027286171017028,
        5.027306196529451,
        5.027325745243958,
        5.027345770756381,
        5.0273653194708885,
        5.027385344983312,
        5.027405370495734,
        5.027424919210242,
        5.027444944722665,
        5.027464493437172,
        5.027484518949595,
        5.027504544462017,
        5.027524093176526,
        5.027544118688948,
        5.027563667403456,
        5.0276232671428085,
        5.028460047483326,
        5.029930969050558,
        5.0299700664795735,
        5.029990091991996,
        5.030009640706504,
        5.030029189421012,
        5.03004873813552,
        5.030068286850027,
        5.030087835564535,
        5.0301073842790425,
        5.030127409791466,
        5.0301469585059735,
        5.030166507220481,
        5.030186055934989,
        5.030205604649496,
        5.030225153364005,
        5.030244702078512,
        5.03026425079302,
        5.0302842763054425,
        5.03030382501995,
        5.030323373734459,
        5.030342922448966,
        5.030362471163474,
        5.030382019877981,
        5.030401568592489,
        5.0304211173069975,
        5.030440666021505,
        5.030460214736013,
        5.030480240248435,
        5.030499788962943,
        5.030519337677451,
        5.030538886391959,
        5.0305584351064665,
        5.030577983820974,
        5.030597532535482,
        5.03061708124999,
        5.030636629964498,
        5.030656178679005,
        5.030675727393513,
        5.0306952761080215,
        5.030714824822529,
        5.030734373537037,
        5.030753922251544,
        5.030773470966052,
        5.03079301968056,
        5.030812568395068,
        5.030832117109576,
        5.030851665824083,
        5.030871214538592,
        5.030890763253099,
        5.030910311967607,
        5.0309298606821145,
        5.030949409396622,
        5.0309689581111305,
        5.030988506825638,
        5.031008055540146,
        5.031027604254653,
        5.031047152969161,
        5.031066701683669,
        5.031086250398177,
        5.031105799112685,
        5.031125347827192,
        5.031144896541701,
        5.031164445256208,
        5.031183993970716,
        5.0312035426852235,
        5.031223091399731,
        5.03124264011424,
        5.031262188828747,
        5.031281737543255,
        5.031301286257762,
        5.03132083497227,
        5.0313403836867785,
        5.031359932401286,
        5.031379004317879,
        5.031398553032386,
        5.031418101746895,
        5.0314376504614025,
        5.03145719917591,
        5.031476747890418,
        5.031496296604926,
        5.031515845319434,
        5.031535394033941,
        5.031554942748449,
        5.0315744914629565,
        5.03159356337955,
        5.031613112094058,
        5.031632660808565,
        5.031652209523073,
        5.031671758237581,
        5.031691306952089,
        5.031710855666597,
        5.031730404381104,
        5.031749476297698,
        5.031769025012205,
        5.031788573726713,
        5.0318081224412206,
        5.031827671155728,
        5.031847219870237,
        5.031866291786829,
        5.031885840501337,
        5.0319053892158445,
        5.031924937930353,
        5.031944486644861,
        5.031964035359368,
        5.031983107275961,
        5.032002655990469,
        5.032022204704977,
        5.032041753419485,
        5.032061302133992,
        5.032080374050586,
        5.032099922765093,
        5.032119471479601,
        5.0321390201941085,
        5.032158568908616,
        5.03217764082521,
        5.032197189539717,
        5.032216738254225,
        5.0322362869687325,
        5.032255835683241,
        5.032274907599834,
        5.032294456314341,
        5.032314005028849,
        5.032333553743357,
        5.03235262565995,
        5.032372174374458,
        5.032391723088965,
        5.032411271803474,
        5.032430343720066,
        5.032449892434574,
        5.032469441149082,
        5.03248898986359,
        5.032508061780183,
        5.03252761049469,
        5.032547159209198,
        5.0325662311257915,
        5.032585779840299,
        5.032605328554807,
        5.032624877269314,
        5.032643949185908,
        5.0326634979004155,
        5.032683046614923,
        5.032702118531516,
        5.032721667246024,
        5.032741215960532,
        5.0327602878771245,
        5.032779836591632,
        5.032799385306141,
        5.032818457222733,
        5.032838005937241,
        5.032857554651748,
        5.032877103366257,
        5.03289617528285,
        5.032915723997357,
        5.032934795913951,
        5.032954344628458,
        5.032973893342966,
        5.032992965259559,
        5.033012513974067,
        5.033032062688575,
        5.033051134605167,
        5.033070683319675,
        5.033090232034183,
        5.033109303950776,
        5.033128852665284,
        5.033147924581876,
        5.033167473296385,
        5.0331870220108925,
        5.033206093927485,
        5.033225642641993,
        5.033245191356501,
        5.033264263273094,
        5.0332838119876016,
        5.033302883904194,
        5.033322432618703,
        5.033341504535295,
        5.033361053249803,
        5.033380601964311,
        5.033399673880904,
        5.033419222595412,
        5.033438294512004,
        5.033457843226513,
        5.033476915143106,
        5.033496463857613,
        5.033516012572121,
        5.033535084488714,
        5.033554633203222,
        5.033573705119815,
        5.033593253834322,
        5.033612325750916,
        5.033631874465423,
        5.033650946382016,
        5.033670495096524,
        5.033689567013117,
        5.033709115727625,
        5.0337281876442175,
        5.033747736358726,
        5.033767285073234,
        5.033786356989826,
        5.033805905704334,
        5.033824977620927,
        5.033844526335435,
        5.033863598252028,
        5.033883146966535,
        5.033902218883129,
        5.033921767597636,
        5.033940839514229,
        5.033959911430823,
        5.03397946014533,
        5.033998532061923,
        5.0340180807764305,
        5.034037152693024,
        5.034056701407532,
        5.034075773324124,
        5.034095322038633,
        5.0341143939552255,
        5.034133942669733,
        5.034153014586326,
        5.034172563300834,
        5.034191635217427,
        5.03421070713402,
        5.034230255848528,
        5.034249327765121,
        5.034268876479628,
        5.034287948396221,
        5.03430749711073,
        5.034326569027322,
        5.034345640943915,
        5.0343651896584225,
        5.034384261575016,
        5.034403810289524,
        5.034422882206116,
        5.03444195412271,
        5.0344615028372175,
        5.03448057475381,
        5.034500123468318,
        5.034519195384911,
        5.034538267301504,
        5.034557816016012,
        5.034576887932605,
        5.034595959849198,
        5.034615508563705,
        5.034634580480299,
        5.034654129194807,
        5.034673201111399,
        5.034692273027992,
        5.0347118217425,
        5.034730893659093,
        5.034749965575686,
        5.034769514290194,
        5.034788586206787,
        5.03480765812338,
        5.034827206837887,
        5.034846278754481,
        5.034865350671073,
        5.034884899385581,
        5.034903971302175,
        5.034923043218767,
        5.034942591933275,
        5.034961663849868,
        5.034980735766461,
        5.034999807683054,
        5.035019356397561,
        5.035038428314155,
        5.035057500230748,
        5.035077048945255,
        5.035096120861849,
        5.035115192778441,
        5.035134264695034,
        5.035153813409543,
        5.035172885326135,
        5.035191957242728,
        5.0352115059572355,
        5.035230577873829,
        5.035249649790422,
        5.0352687217070144,
        5.035288270421523,
        5.035307342338116,
        5.035326414254708,
        5.035345486171302,
        5.0353645580878945,
        5.035384106802402,
        5.035403178718995,
        5.035422250635588,
        5.035441322552181,
        5.035460871266689,
        5.035479943183282,
        5.035499015099875,
        5.0355180870164675,
        5.035537158933061,
        5.035556707647569,
        5.035575779564161,
        5.035594851480755,
        5.035613923397348,
        5.03563299531394,
        5.035652544028448,
        5.035671615945041,
        5.035690687861634,
        5.035709759778227,
        5.03572883169482,
        5.035748380409328,
        5.035767452325921,
        5.035786524242514,
        5.035805596159107,
        5.0358246680756995,
        5.035843739992293,
        5.035862811908886,
        5.035882360623393,
        5.035901432539987,
        5.03592050445658,
        5.035939576373172,
        5.035958648289766,
        5.0359777202063585,
        5.035996792122951,
        5.036016340837459,
        5.036035412754052,
        5.036054484670645,
        5.036073556587238,
        5.036092628503831,
        5.036111700420424,
        5.036130772337017,
        5.03614984425361,
        5.036168916170203,
        5.03618846488471,
        5.036207536801304,
        5.036226608717897,
        5.036245680634489,
        5.036264752551083,
        5.0362838244676755,
        5.036302896384268,
        5.036321968300862,
        5.036341040217454,
        5.036360112134047,
        5.036379184050641,
        5.036398255967233,
        5.036417327883826,
        5.03643639980042,
        5.036455948514927,
        5.03647502043152,
        5.036494092348113,
        5.036513164264706,
        5.036532236181299,
        5.036551308097892,
        5.036570380014485,
        5.036589451931078,
        5.036608523847671,
        5.036627595764264,
        5.036646667680857,
        5.03666573959745,
        5.036684811514043,
        5.0367038834306355,
        5.036722955347229,
        5.036742027263822,
        5.036761099180414,
        5.036780171097008,
        5.036799243013601,
        5.036818314930193,
        5.036837386846787,
        5.0368564587633795,
        5.036875530679972,
        5.036894602596566,
        5.036913674513158,
        5.036932746429751,
        5.036951818346345,
        5.036970890262937,
        5.03698996217953,
        5.0370090340961235,
        5.037027629214801,
        5.037046701131394,
        5.0370657730479875,
        5.03708484496458,
        5.037103916881173,
        5.037122988797766,
        5.037142060714359,
        5.037161132630952,
        5.037180204547545,
        5.037199276464138,
        5.037218348380731,
        5.037237420297324,
        5.037256492213917,
        5.03727556413051,
        5.037294159249188,
        5.037313231165781,
        5.037332303082374,
        5.037351374998967,
        5.03737044691556,
        5.0373895188321525,
        5.037408590748746,
        5.037427662665339,
        5.037446734581931,
        5.03746532970061,
        5.037484401617203,
        5.037503473533796,
        5.037522545450389,
        5.037541617366982,
        5.037560689283575,
        5.037579761200168,
        5.037598356318846,
        5.037617428235439,
        5.037636500152032,
        5.0376555720686245,
        5.037674643985218,
        5.037693715901811,
        5.037712311020488,
        5.037731382937082,
        5.037750454853675,
        5.037769526770267,
        5.037788598686861,
        5.037807670603454,
        5.037826265722132,
        5.037845337638725,
        5.037864409555318,
        5.037883481471911,
        5.037902553388504,
        5.0379211485071815,
        5.037940220423775,
        5.037959292340368,
        5.03797836425696,
        5.037997436173554,
        5.038016031292232,
        5.038035103208824,
        5.038054175125418,
        5.038073247042011,
        5.038091842160689,
        5.038110914077282,
        5.038129985993875,
        5.038149057910468,
        5.038167653029146,
        5.038186724945739,
        5.038205796862332,
        5.038224868778925,
        5.038243463897603,
        5.038262535814196,
        5.04155363342127,
        5.0454130741428145,
        5.045435483644811,
        5.045457893146808,
        5.045480302648804,
        5.045503188948716,
        5.045525598450713,
        5.04554800795271,
        5.045570417454706,
        5.045593303754618,
        5.045615713256614,
        5.045638122758612,
        5.045660532260608,
        5.045682941762605,
        5.045705351264601,
        5.045728237564513,
        5.04575064706651,
        5.045773056568507,
        5.045795466070503,
        5.0458178755725,
        5.0458407618724115,
        5.045863171374409,
        5.045885580876405,
        5.045907990378402,
        5.045930399880398,
        5.0459528093823955,
        5.045975218884392,
        5.045998105184304,
        5.0460205146863,
        5.046042924188297,
        5.046065333690294,
        5.046087743192291,
        5.046110152694287,
        5.046132562196284,
        5.0461549716982805,
        5.046177857998193,
        5.046200267500189,
        5.046222677002186,
        5.046245086504182,
        5.0462674960061795,
        5.046289905508176,
        5.046312315010173,
        5.046334724512169,
        5.046357134014166,
        5.046379543516163,
        5.04640195301816,
        5.046424839318071,
        5.046447248820068,
        5.0464696583220645,
        5.046492067824062,
        5.046514477326058,
        5.046536886828055,
        5.046559296330051,
        5.046581705832049,
        5.046604115334045,
        5.046626524836042,
        5.046648934338038,
        5.0466713438400355,
        5.046693753342033,
        5.046716162844029,
        5.046738572346026,
        5.046760981848022,
        5.0467833913500195,
        5.046805800852016,
        5.046828210354013,
        5.046850619856009,
        5.046873029358006,
        5.046895438860003,
        5.046917848362,
        5.046940257863996,
        5.046962667365993,
        5.04698507686799,
        5.047007486369987,
        5.047029895871983,
        5.04705230537398,
        5.0470747148759765,
        5.047097124377974,
        5.04711953387997,
        5.047141943381967,
        5.047164352883963,
        5.0471867623859605,
        5.047209171887957,
        5.047231581389954,
        5.04725399089195,
        5.047276400393947,
        5.04729833309803,
        5.047320742600026,
        5.047343152102023,
        5.047365561604019,
        5.047387971106017,
        5.047410380608013,
        5.04743279011001,
        5.047455199612006,
        5.0474776091140034,
        5.047500018616,
        5.047522428117997,
        5.047544360822078,
        5.047566770324075,
        5.047589179826072,
        5.047611589328069,
        5.047633998830065,
        5.047656408332062,
        5.047678817834059,
        5.047701227336056,
        5.047723160040138,
        5.047745569542134,
        5.047767979044131,
        5.047790388546128,
        5.047812798048125,
        5.047835207550121,
        5.047857140254203,
        5.0478795497562,
        5.047901959258197,
        5.047924368760193,
        5.04794677826219,
        5.047969187764187,
        5.047991120468269,
        5.048013529970266,
        5.048035939472262,
        5.048058348974259,
        5.048080758476256,
        5.048102691180338,
        5.048125100682334,
        5.048147510184331,
        5.048169919686328,
        5.048192329188325,
        5.048236671394403,
        5.0482590808964,
        5.048281490398397,
        5.048303899900394,
        5.048325832604475,
        5.0483482421064725,
        5.048370651608469,
        5.048393061110466,
        5.048414993814547,
        5.0484374033165444,
        5.048459812818541,
        5.048482222320538,
        5.04850415502462,
        5.048526564526616,
        5.048548974028614,
        5.048570906732695,
        5.048593316234692,
        5.048615725736688,
        5.0486381352386855,
        5.048660067942767,
        5.048682477444764,
        5.04870488694676,
        5.048726819650843,
        5.04874922915284,
        5.048771638654836,
        5.048793571358918,
        5.0488159808609145,
        5.048838390362912,
        5.048860799864908,
        5.04888273256899,
        5.0489051420709865,
        5.048927551572984,
        5.048949484277066,
        5.048971893779062,
        5.048994303281059,
        5.049016235985141,
        5.049038645487138,
        5.049060578191219,
        5.049082987693216,
        5.049105397195213,
        5.049127329899295,
        5.049149739401292,
        5.049172148903288,
        5.049194081607371,
        5.049216491109367,
        5.049238423813449,
        5.049260833315445,
        5.049283242817443,
        5.049305175521524,
        5.049327585023521,
        5.049349994525518,
        5.0493719272296,
        5.049394336731597,
        5.049416269435678,
        5.049438678937675,
        5.049460611641757,
        5.049483021143754,
        5.04950543064575,
        5.049527363349832,
        5.0495497728518295,
        5.049571705555911,
        5.049594115057908,
        5.049616047761989,
        5.0496384572639865,
        5.049660866765983,
        5.049682799470065,
        5.049705208972062,
        5.049727141676144,
        5.049749551178141,
        5.049771483882222,
        5.049793893384219,
        5.0498158260883015,
        5.049838235590298,
        5.04986016829438,
        5.049882577796376,
        5.0499045105004585,
        5.049926920002455,
        5.049948852706537,
        5.049971262208533,
        5.049993194912616,
        5.050015604414613,
        5.050037537118694,
        5.050059946620691,
        5.050081879324773,
        5.05010428882677,
        5.050126221530852,
        5.050148631032848,
        5.0501705637369305,
        5.050192973238927,
        5.050214905943009,
        5.05023683864709,
        5.0502592481490876,
        5.05028118085317,
        5.050303590355166,
        5.050325523059248,
        5.050347932561245,
        5.050369865265327,
        5.050392274767323,
        5.050414207471405,
        5.050436140175488,
        5.050458549677484,
        5.050480482381566,
        5.050502891883562,
        5.050524824587645,
        5.050546757291727,
        5.050569166793723,
        5.050591099497805,
        5.050613508999802,
        5.050635441703884,
        5.050657374407966,
        5.050679783909962,
        5.050701716614045,
        5.050724126116041,
        5.050746058820123,
        5.050767991524205,
        5.050790401026202,
        5.050812333730284,
        5.050834266434365,
        5.0508566759363624,
        5.050878608640444,
        5.050900541344526,
        5.050922950846523,
        5.050944883550605,
        5.050966816254687,
        5.050989225756683,
        5.051011158460765,
        5.0510330911648476,
        5.051055500666844,
        5.051077433370926,
        5.051099366075007,
        5.051121775577005,
        5.051143708281087,
        5.051165640985168,
        5.051188050487165,
        5.051209983191247,
        5.051231915895329,
        5.051254325397325,
        5.0512762581014075,
        5.05129819080549,
        5.051320123509571,
        5.051342533011568,
        5.0513644657156505,
        5.051386398419732,
        5.051408331123814,
        5.05143074062581,
        5.051452673329893,
        5.051474606033975,
        5.051496538738056,
        5.051518948240053,
        5.051540880944135,
        5.051562813648217,
        5.051584746352299,
        5.051607155854295,
        5.051629088558378,
        5.051651021262459,
        5.051672953966541,
        5.051695363468538,
        5.05171729617262,
        5.051739228876702,
        5.051761161580783,
        5.051783094284866,
        5.051805503786863,
        5.051827436490944,
        5.051849369195026,
        5.051871301899109,
        5.05189323460319,
        5.051915644105187,
        5.0519375768092685,
        5.051959509513351,
        5.051981442217433,
        5.052003374921514,
        5.0520253076255965,
        5.052047717127593,
        5.052069649831675,
        5.052091582535757,
        5.052113515239839,
        5.052135447943921,
        5.052157380648003,
        5.0521793133520845,
        5.052201722854082,
        5.052223655558163,
        5.052245588262245,
        5.0522675209663275,
        5.052289453670409,
        5.052311386374491,
        5.052333319078572,
        5.052355251782655,
        5.052377184486737,
        5.052399593988733,
        5.052421526692815,
        5.052443459396898,
        5.052465392100979,
        5.052487324805061,
        5.052509257509143,
        5.052531190213225,
        5.052553122917307,
        5.052575055621388,
        5.052596988325471,
        5.052618921029553,
        5.052640853733634,
        5.052663263235631,
        5.052685195939713,
        5.052707128643795,
        5.052729061347877,
        5.052750994051959,
        5.052772926756041,
        5.052794859460123,
        5.052816792164204,
        5.052838724868287,
        5.052860657572368,
        5.05288259027645,
        5.0529045229805325,
        5.052926455684614,
        5.052948388388696,
        5.052970321092778,
        5.05299225379686,
        5.053014186500942,
        5.053036119205023,
        5.0530580519091055,
        5.053079984613188,
        5.053101917317269,
        5.053123850021351,
        5.053145782725434,
        5.053167715429515,
        5.053189648133597,
        5.053211580837679,
        5.053233513541761,
        5.053255446245843,
        5.053277378949924,
        5.053299311654007,
        5.053321244358089,
        5.05334317706217,
        5.053365109766252,
        5.05338656567242,
        5.053408498376501,
        5.053430431080583,
        5.053452363784666,
        5.053474296488747,
        5.053496229192829,
        5.053518161896911,
        5.053540094600993,
        5.053562027305075,
        5.053583960009156,
        5.053605892713239,
        5.053627825417321,
        5.053649281323487,
        5.0536712140275695,
        5.053693146731652,
        5.053715079435733,
        5.053737012139815,
        5.0537589448438975,
        5.053780877547979,
        5.053802810252061,
        5.0538247429561425,
        5.05384619886231,
        5.053868131566392,
        5.053890064270473,
        5.053911996974556,
        5.053933929678638,
        5.053955862382719,
        5.0539777950868014,
        5.053999250992969,
        5.05402118369705,
        5.054043116401132,
        5.054065049105215,
        5.054086981809296,
        5.054108914513378,
        5.0541303704195455,
        5.054152303123627,
        5.054174235827709,
        5.054196168531791,
        5.054218101235873,
        5.05423955714204,
        5.054261489846122,
        5.054283422550204,
        5.054305355254286,
        5.054327287958368,
        5.0543487438645345,
        5.054370676568617,
        5.054392609272699,
        5.05441454197678,
        5.054435997882948,
        5.05445793058703,
        5.054479863291111,
        5.0545017959951934,
        5.054523251901361,
        5.054545184605442,
        5.054567117309524,
        5.054589050013606,
        5.054610505919773,
        5.054632438623855,
        5.054654371327937,
        5.054676304032019,
        5.054697759938186,
        5.0547196926422675,
        5.05474162534635,
        5.054763558050432,
        5.054785013956598,
        5.054806946660681,
        5.054828879364763,
        5.05485033527093,
        5.0548722679750115,
        5.054894200679094,
        5.054915656585261,
        5.0549375892893424,
        5.054959521993425,
        5.054981454697506,
        5.055002910603673,
        5.055024843307756,
        5.055046776011837,
        5.055068231918004,
        5.0550901646220865,
        5.055112097326168,
        5.055133553232335,
        5.055155485936417,
        5.055176941842585,
        5.055198874546666,
        5.055220807250748,
        5.055242263156916,
        5.055264195860997,
        5.055286128565079,
        5.0553075844712465,
        5.055329517175328,
        5.05535144987941,
        5.055372905785577,
        5.055394838489659,
        5.055416294395826,
        5.055438227099908,
        5.05546015980399,
        5.055481615710157,
        5.055503548414239,
        5.055525004320406,
        5.055546937024488,
        5.05556886972857,
        5.0555903256347365,
        5.055612258338819,
        5.055633714244986,
        5.055655646949067,
        5.055677102855235,
        5.055699035559317,
        5.055720968263398,
        5.055742424169566,
        5.055764356873648,
        5.055785812779815,
        5.0558077454838966,
        5.055829201390064,
        5.055851134094146,
        5.0558725900003125,
        5.055894522704395,
        5.055915978610562,
        5.055937911314643,
        5.055959367220811,
        5.055981299924893,
        5.056002755831059,
        5.056024688535142,
        5.056046144441309,
        5.056068077145391,
        5.056089533051558,
        5.05611146575564,
        5.056132921661807,
        5.0561548543658885,
        5.056176310272056,
        5.056198242976138,
        5.0562196988823045,
        5.056241631586387,
        5.056263087492554,
        5.056285020196635,
        5.056306476102803,
        5.056328408806885,
        5.056349864713052,
        5.056371797417134,
        5.056393253323301,
        5.056415186027383,
        5.05643664193355,
        5.056458097839717,
        5.056480030543799,
        5.0565014864499656,
        5.056523419154048,
        5.056544875060215,
        5.0565668077642965,
        5.056588263670464,
        5.056609719576631,
        5.056631652280713,
        5.05665310818688,
        5.056675040890962,
        5.056696496797129,
        5.056717952703296,
        5.056739885407378,
        5.056761341313545,
        5.056783274017627,
        5.056804729923794,
        5.056826185829961,
        5.0568481185340435,
        5.05686957444021,
        5.056891030346377,
        5.0569129630504595,
        5.056934418956627,
        5.056955874862793,
        5.056977807566875,
        5.056999263473043,
        5.057021196177124,
        5.057042652083291,
        5.057064107989459,
        5.05708604069354,
        5.057107496599707,
        5.057128952505875,
        5.057150885209957,
        5.057172341116123,
        5.057193797022291,
        5.057215252928458,
        5.057237185632539,
        5.057258641538707,
        5.057280097444874,
        5.057302030148956,
        5.057323486055123,
        5.05734494196129,
        5.057366874665372,
        5.057388330571539,
        5.057409786477706,
        5.057431242383873,
        5.057453175087955,
        5.057474630994122,
        5.057496086900289,
        5.0575175428064565,
        5.057539475510538,
        5.057560931416705,
        5.0575823873228725,
        5.057604320026955,
        5.057625775933121,
        5.057647231839288,
        5.057668687745456,
        5.057690143651623,
        5.057712076355704,
        5.057733532261872,
        5.057754988168039,
        5.0577764440742055,
        5.057798376778288,
        5.057819832684455,
        5.057841288590622,
        5.057862744496789,
        5.057884200402956,
        5.057906133107038,
        5.057927589013205,
        5.057949044919372,
        5.057970500825539,
        5.057991956731707,
        5.058013889435788,
        5.058035345341955,
        5.058056801248123,
        5.05807825715429,
        5.058099713060456,
        5.058121168966624,
        5.058143101670706,
        5.058164557576872,
        5.05818601348304,
        5.058207469389207,
        5.058228925295374,
        5.058250381201541,
        5.058271837107708,
        5.05829376981179,
        5.0583152257179576,
        5.058336681624124,
        5.058358137530291,
        5.058379593436459,
        5.058401049342626,
        5.058422505248792,
        5.05844396115496,
        5.058465893859042,
        5.058487349765208,
        5.058508805671376,
        5.058530261577543,
        5.05855171748371,
        5.058573173389877,
        5.058594629296044,
        5.058616085202211,
        5.058637541108379,
        5.058658997014545,
        5.058680452920712,
        5.05870190882688,
        5.058723841530962,
        5.058745297437128,
        5.058766753343296,
        5.058788209249463,
        5.05880966515563,
        5.058831121061797,
        5.058852576967964,
        5.058874032874131,
        5.058895488780299,
        5.058916944686465,
        5.058938400592632,
        5.0589598564988,
        5.058981312404967,
        5.059002768311133,
        5.059024224217301,
        5.059045680123468,
        5.059067136029635,
        5.059088591935802,
        5.059110047841969,
        5.059131503748136,
        5.059152959654304,
        5.05917441556047,
        5.059195871466637,
        5.059217327372805,
        5.059238783278972,
        5.0592602391851385,
        5.059281695091306,
        5.059303150997473,
        5.05932460690364,
        5.059346062809807,
        5.059367518715974,
        5.059388974622141,
        5.059410430528309,
        5.059431886434475,
        5.0594533423406425,
        5.05947479824681,
        5.059495777355062,
        5.059517233261229,
        5.059538689167396,
        5.059560145073563,
        5.060052677319576,
        5.060073656427829,
        5.060095112333996,
        5.060116568240163,
        5.0601380241463305,
        5.060159480052497,
        5.060180935958664,
        5.060201915066917,
        5.060223370973084,
        5.06024482687925,
        5.060266282785418,
        5.060287738691585,
        5.060308717799837,
        5.060330173706005,
        5.060351629612171,
        5.060373085518338,
        5.060394541424506,
        5.060415520532758,
        5.0604369764389245,
        5.060458432345092,
        5.060479888251259,
        5.0605008673595115,
        5.060522323265678,
        5.060543779171845,
        5.060565235078013,
        5.06058669098418,
        5.060607670092432,
        5.060629125998599,
        5.060650581904766,
        5.060671561013018,
        5.060693016919186,
        5.060714472825352,
        5.0607359287315195,
        5.060756907839772,
        5.060778363745939,
        5.0607998196521065,
        5.060821275558273,
        5.060842254666525,
        5.060863710572693,
        5.06088516647886,
        5.060906145587112,
        5.060927601493279,
        5.060949057399446,
        5.060970036507698,
        5.060991492413866,
        5.061012948320032,
        5.061034404226199,
        5.061055383334452,
        5.061076839240619,
        5.061098295146786,
        5.061119274255038,
        5.061140730161205,
        5.061162186067373,
        5.061183165175625,
        5.061204621081792,
        5.061226076987959,
        5.061247056096211,
        5.061268512002378,
        5.061289491110631,
        5.061310947016798,
        5.0613324029229645,
        5.061353382031217,
        5.061374837937384,
        5.0613962938435515,
        5.061417272951803,
        5.06143872885797,
        5.061459707966223,
        5.06148116387239,
        5.061502619778557,
        5.061523598886809,
        5.061545054792976,
        5.0615660339012285,
        5.061587489807396,
        5.061608945713563,
        5.061629924821815,
        5.061651380727982,
        5.061672359836234,
        5.061693815742402,
        5.061714794850654,
        5.06173625075682,
        5.061757706662988,
        5.06177868577124,
        5.061800141677407,
        5.06182112078566,
        5.061842576691826,
        5.061863555800079,
        5.061885011706246,
        5.061905990814498,
        5.061927446720666,
        5.061948425828918,
        5.061969881735084,
        5.061991337641252,
        5.062012316749504,
        5.0620337726556714,
        5.062054751763923,
        5.06207620767009,
        5.062097186778343,
        5.06211864268451,
        5.062139621792762,
        5.062161077698929,
        5.062182056807181,
        5.0622035127133485,
        5.062224491821601,
        5.062245470929853,
        5.0622669268360205,
        5.062287905944272,
        5.062309361850439,
        5.062330340958692,
        5.062351796864859,
        5.062372775973111,
        5.062394231879278,
        5.06241521098753,
        5.0624366668936975,
        5.06245764600195,
        5.062479101908117,
        5.06250008101637,
        5.062521060124621,
        5.062542516030788,
        5.062563495139041,
        5.062584951045208,
        5.0626059301534605,
        5.062627386059627,
        5.062648365167879,
        5.062669344276132,
        5.062690800182299,
        5.062711779290551,
        5.062733235196718,
        5.06275421430497,
        5.062775193413223,
        5.06279664931939,
        5.062817628427642,
        5.062838607535895,
        5.062860063442061,
        5.0628810425503135,
        5.062902498456481,
        5.062923477564733,
        5.0629444566729855,
        5.062965912579153,
        5.062986891687404,
        5.063007870795657,
        5.063029326701824,
        5.063050305810076,
        5.063071284918329,
        5.063092740824495,
        5.063113719932748,
        5.063134699041,
        5.063156154947167,
        5.06317713405542,
        5.063198113163672,
        5.0632195690698385,
        5.063240548178091,
        5.063261527286343,
        5.063282983192511,
        5.063303962300763,
        5.063324941409015,
        5.063346397315182,
        5.063367376423434,
        5.0633883555316865,
        5.063409334639939,
        5.063430790546106,
        5.063451769654359,
        5.06347274876261,
        5.0634937278708625,
        5.06351518377703,
        5.063536162885282,
        5.063557141993535,
        5.063578597899702,
        5.063599577007953,
        5.063620556116206,
        5.063641535224458,
        5.0636629911306255,
        5.063683970238878,
        5.06370494934713,
        5.063725928455383,
        5.063746907563634,
        5.063768363469801,
        5.063789342578054,
        5.063810321686306,
        5.063831300794559,
        5.063852756700725,
        5.063873735808977,
        5.06389471491723,
        5.063915694025482,
        5.0639366731337345,
        5.063958129039902,
        5.063979108148154,
        5.064000087256406,
        5.064021066364658,
        5.0640420454729105,
        5.064063024581163,
        5.06408448048733,
        5.064105459595583,
        5.064126438703835,
        5.064147417812086,
        5.064168396920339,
        5.064189376028591,
        5.0642108319347585,
        5.064231811043011,
        5.064252790151263,
        5.064273769259515,
        5.064294748367767,
        5.0643157274760195,
        5.064336706584272,
        5.064358162490439,
        5.064379141598692,
        5.064400120706944,
        5.0644210998151955,
        5.064442078923448,
        5.0644630580317,
        5.064484037139953,
        5.064505016248205,
        5.064525995356457,
        5.064547451262624,
        5.064568430370876,
        5.064589409479129,
        5.064610388587381,
        5.064631367695633,
        5.064652346803886,
        5.064673325912138,
        5.0646943050203905,
        5.064715284128642,
        5.064736263236894,
        5.064757242345147,
        5.064778221453399,
        5.064799200561652,
        5.064820179669904,
        5.064841158778156,
        5.064862614684323,
        5.064883593792575,
        5.0649045729008275,
        5.06492555200908,
        5.064946531117332,
        5.064967510225585,
        5.064988489333837,
        5.0650094684420885,
        5.065030447550341,
        5.065051426658593,
        5.065072405766846,
        5.065093384875098,
        5.0651143639833505,
        5.065135343091603,
        5.065156322199854,
        5.065177301308107,
        5.065198280416359,
        5.0652192595246115,
        5.065240238632864,
        5.065261217741116,
        5.065282196849369,
        5.065303175957621,
        5.0653241550658725,
        5.06534465737621,
        5.065365636484462,
        5.065386615592715,
        5.065407594700967,
        5.0654285738092195,
        5.065449552917472,
        5.065470532025724,
        5.065491511133976,
        5.065512490242228,
        5.0655334693504805,
        5.065554448458733,
        5.065575427566985,
        5.065596406675238,
        5.06561738578349,
        5.0656383648917425,
        5.06565886720208,
        5.065679846310331,
        5.065700825418584,
        5.065721804526836,
        5.065742783635089,
        5.065763762743341,
        5.065784741851593,
        5.065805720959846,
        5.065826700068097,
        5.065847202378435,
        5.065868181486687,
        5.065889160594939,
        5.065910139703192,
        5.065931118811444,
        5.065952097919697,
        5.065973077027949,
        5.065993579338286,
        5.066014558446538,
        5.06603553755479,
        5.066056516663043,
        5.066077495771295,
        5.0660984748795475,
        5.0661194539878,
        5.066139956298137,
        5.06616093540639,
        5.066181914514642,
        5.0662028936228936,
        5.066223872731146,
        5.066244375041483,
        5.066265354149736,
        5.066286333257988,
        5.0663073123662405,
        5.066328291474493,
        5.06634879378483,
        5.066369772893083,
        5.066390752001334,
        5.066411731109587,
        5.066432710217839,
        5.0664532125281765,
        5.066474191636429,
        5.066495170744681,
        5.066516149852934,
        5.066536652163271,
        5.0665576312715235,
        5.066578610379775,
        5.066599589488027,
        5.066620091798365,
        5.066641070906617,
        5.06666205001487,
        5.066683029123122,
        5.066703531433459,
        5.066724510541712,
        5.066745489649964,
        5.066766468758216,
        5.066786971068553,
        5.0668079501768055,
        5.066828929285058,
        5.066849431595395,
        5.066870410703648,
        5.0668913898119,
        5.066911892122238,
        5.06693287123049,
        5.066953850338742,
        5.066974829446994,
        5.066995331757331,
        5.067016310865584,
        5.067037289973836,
        5.0670577922841735,
        5.067078771392426,
        5.067099750500678,
        5.067120252811016,
        5.067141231919268,
        5.0671622110275205,
        5.067182713337858,
        5.0672036924461095,
        5.067224194756447,
        5.067245173864699,
        5.067266152972952,
        5.067286655283289,
        5.0673076343915415,
        5.067328613499794,
        5.067349115810131,
        5.067370094918384,
        5.067391074026636,
        5.067411576336974,
        5.067432555445225,
        5.0674530577555625,
        5.067474036863815,
        5.067495015972067,
        5.067515518282405,
        5.067536497390657,
        5.067556999700995,
        5.067577978809247,
        5.067598481119584,
        5.067619460227837,
        5.067640439336089,
        5.067660941646427,
        5.067681920754678,
        5.067702423065016,
        5.067723402173268,
        5.0677439044836055,
        5.067764883591858,
        5.06778586270011,
        5.067806365010448,
        5.0678273441187,
        5.0678478464290375,
        5.06786882553729,
        5.067889327847627,
        5.06791030695588,
        5.067930809266217,
        5.067951788374469,
        5.067972290684806,
        5.0679932697930585,
        5.068013772103396,
        5.068034751211648,
        5.068055253521986,
        5.068076232630238,
        5.068096734940576,
        5.068117714048828,
        5.0681382163591655,
        5.068159195467418,
        5.068179697777755,
        5.068200676886007,
        5.068221179196344,
        5.068242158304597,
        5.068262660614934,
        5.0682836397231865,
        5.068304142033524,
        5.068325121141776,
        5.068345623452114,
        5.068366125762451,
        5.068387104870704,
        5.068407607181041,
        5.0684285862892935,
        5.068449088599631,
        5.068470067707883,
        5.068490570018221,
        5.068511549126472,
        5.06853205143681,
        5.068552553747147,
        5.0685735328554,
        5.068594035165737,
        5.068615014273989,
        5.068635516584327,
        5.068656018894664,
        5.068676998002917,
        5.068697500313254,
        5.0687184794215066,
        5.068738981731844,
        5.0687594840421815,
        5.068780463150434,
        5.068800965460771,
        5.068821944569023,
        5.06884244687936,
        5.068862949189698,
        5.06888392829795,
        5.0689044306082875,
        5.068924932918625,
        5.068945912026877,
        5.068966414337215,
        5.068986916647552,
        5.069007895755805,
        5.069028398066142,
        5.06904890037648,
        5.069069879484732,
        5.069090381795069,
        5.069110884105407,
        5.069131863213659,
        5.069152365523997,
        5.069172867834334,
        5.069193846942586,
        5.069214349252923,
        5.069234851563261,
        5.069255830671513,
        5.06927633298185,
        5.069296835292188,
        5.069317337602525,
        5.069338316710778,
        5.069358819021115,
        5.069379321331453,
        5.069400300439705,
        5.0694208027500425,
        5.06944130506038,
        5.069461807370717,
        5.06948278647897,
        5.069503288789307,
        5.069523791099645,
        5.069544293409982,
        5.0695652725182345,
        5.069585774828572,
        5.069606277138909,
        5.069626779449247,
        5.069647758557498,
        5.069668260867836,
        5.069688763178173,
        5.069709265488511,
        5.069729767798848,
        5.069750746907101,
        5.069771249217438,
        5.0697917515277755,
        5.069812253838113,
        5.069833232946365,
        5.069853735256703,
        5.06987423756704,
        5.069894739877378,
        5.069915242187715,
        5.069935744498053,
        5.069956723606305,
        5.0699772259166425,
        5.06999772822698,
        5.070018230537317,
        5.070038732847655,
        5.070059711955907,
        5.070080214266245,
        5.070100716576582,
        5.07012121888692,
        5.070141721197256,
        5.070162223507594,
        5.070182725817931,
        5.070203704926183,
        5.070224207236521,
        5.070244709546858,
        5.070265211857196,
        5.070285714167533,
        5.070306216477871,
        5.070326718788208,
        5.070347221098546,
        5.070368200206798,
        5.0703887025171355,
        5.070409204827473,
        5.07042970713781,
        5.070450209448148,
        5.070470711758485,
        5.070491214068823,
        5.07051171637916,
        5.070532218689498,
        5.070552720999835,
        5.070573223310173,
        5.070594202418425,
        5.070614704728762,
        5.0706352070391,
        5.070655709349437,
        5.070676211659775,
        5.070696713970112,
        5.07071721628045,
        5.070737718590787,
        5.070758220901125,
        5.070778723211462,
        5.0707992255217995,
        5.070819727832137,
        5.070840230142474,
        5.070860732452812,
        5.070881234763149,
        5.070901737073487,
        5.070922239383823,
        5.070942741694161,
        5.070963244004498,
        5.070983746314836,
        5.071004248625173,
        5.071024750935511,
        5.071045253245848,
        5.0710657555561856,
        5.071086257866523,
        5.0711067601768605,
        5.071127262487198,
        5.071147764797535,
        5.071168267107873,
        5.07118876941821,
        5.071209271728548,
        5.071229774038885,
        5.071250276349223,
        5.07127077865956,
        5.071291280969898,
        5.071311783280235,
        5.0713322855905725,
        5.07135278790091,
        5.071373290211247,
        5.071393792521585,
        5.071414294831922,
        5.071434320344345,
        5.071454822654682,
        5.07147532496502,
        5.071495827275357,
        5.071516329585695,
        5.071536831896032,
        5.07155733420637,
        5.071577836516707,
        5.0715983388270445,
        5.071618841137382,
        5.071639343447719,
        5.071659368960142,
        5.071679871270479,
        5.071700373580817,
        5.071720875891154,
        5.071741378201492,
        5.071761880511829,
        5.071782382822167,
        5.071802885132504,
        5.071822910644927,
        5.071843412955264,
        5.0718639152656015,
        5.071884417575939,
        5.0719049198862765,
        5.071925422196614,
        5.071945924506951,
        5.071965950019374,
        5.071986452329711,
        5.072006954640049,
        5.072027456950386,
        5.072047959260724,
        5.072068461571061,
        5.072088487083484,
        5.072108989393821,
        5.072129491704159,
        5.072149994014496,
        5.0721704963248335,
        5.072190521837256,
        5.0722110241475935,
        5.072231526457931,
        5.072252028768268,
        5.072272531078606,
        5.072292556591028,
        5.072313058901366,
        5.072333561211703,
        5.072354063522041,
        5.072374089034463,
        5.072394591344801,
        5.072415093655138,
        5.072435595965476,
        5.072456098275813,
        5.072476123788236,
        5.072496626098573,
        5.072517128408911,
        5.072537153921333,
        5.0725576562316705,
        5.072578158542008,
        5.0725986608523455,
        5.072618686364768,
        5.072639188675105,
        5.072659690985443,
        5.07268019329578,
        5.072700218808203,
        5.07272072111854,
        5.072741223428878,
        5.0727612489413,
        5.072781751251638,
        5.072802253561975,
        5.072822755872313,
        5.072842781384736,
        5.072863283695073,
        5.07288378600541,
        5.0729038115178335,
        5.072924313828171,
        5.0729448161385085,
        5.072964841650931,
        5.072985343961268,
        5.073005846271606,
        5.073025871784028,
        5.073046374094366,
        5.073066876404703,
        5.073086901917126,
        5.073107404227463,
        5.073127429739886,
        5.073147932050223,
        5.073168434360561,
        5.073188459872983,
        5.073208962183321,
        5.073229464493658,
        5.073249490006081,
        5.073269992316418,
        5.073290017828841,
        5.073310520139178,
        5.073331022449516,
        5.073351047961938,
        5.073371550272276,
        5.073391575784698,
        5.073412078095036,
        5.073432580405373,
        5.073452605917796,
        5.073473108228133,
        5.0734931337405555,
        5.073513636050893,
        5.0735341383612305,
        5.073554163873653,
        5.0735746661839904,
        5.073594691696414,
        5.07361519400675,
        5.073635219519174,
        5.073655721829511,
        5.073675747341934,
        5.073696249652271,
        5.073716751962609,
        5.073736777475031,
        5.073757279785369,
        5.073777305297791,
        5.073797807608129,
        5.073817833120551,
        5.073838335430889,
        5.073858360943311,
        5.073878863253649,
        5.073898888766071,
        5.073919391076409,
        5.073939416588831,
        5.073959918899169,
        5.073979944411591,
        5.074000446721929,
        5.074020472234351,
        5.074040974544689,
        5.074061000057111,
        5.074081502367449,
        5.074101527879871,
        5.074122030190209,
        5.074142055702632,
        5.0741620812150545,
        5.074182583525392,
        5.0742026090378145,
        5.074223111348152,
        5.0742431368605745,
        5.074263639170912,
        5.0742836646833345,
        5.074304166993672,
        5.0743241925060945,
        5.074344694816432,
        5.074364720328854,
        5.074384745841277,
        5.074405248151614,
        5.074425273664037,
        5.074445775974374,
        5.074465801486797,
        5.0744858269992195,
        5.074506329309557,
        5.07452635482198,
        5.074546857132318,
        5.07456688264474,
        5.074586908157163,
        5.0746074104675,
        5.074627435979923,
        5.07464793829026,
        5.074667963802683,
        5.074687989315105,
        5.074708491625443,
        5.074728517137865,
        5.074748542650288,
        5.074769044960625,
        5.074789070473048,
        5.07480909598547,
        5.074829598295808,
        5.07484962380823,
        5.074869649320654,
        5.07489015163099,
        5.074910177143414,
        5.074930202655836,
        5.074950704966174,
        5.074970730478596,
        5.074990755991019,
        5.075011258301356,
        5.075031283813779,
        5.075051309326201,
        5.075071811636539,
        5.075091837148961,
        5.075111862661384,
        5.075132364971721,
        5.075152390484144,
        5.075172415996566,
        5.07519244150899,
        5.075212943819327,
        5.07523296933175,
        5.075252994844172,
        5.07527349715451,
        5.075293522666932,
        5.075313548179355,
        5.075333573691777,
        5.075354076002115,
        5.075374101514537,
        5.07539412702696,
        5.075414152539382,
        5.07543465484972,
        5.075454680362142,
        5.075474705874565,
        5.075494731386988,
        5.075515233697326,
        5.075535259209748,
        5.075555284722171,
        5.075575310234593,
        5.075595335747016,
        5.075615838057353,
        5.075635863569776,
        5.075655889082198,
        5.075675914594621,
        5.075695940107043,
        5.075716442417381,
        5.075736467929803,
        5.075756493442226,
        5.075776518954649,
        5.075796544467072,
        5.075817046777409,
        5.075837072289832,
        5.075857097802254,
        5.075877123314677,
        5.075897148827099,
        5.075917174339522,
        5.075937676649859,
        5.075957702162282,
        5.0759777276747045,
        5.075997753187127,
        5.07601777869955,
        5.076037804211973,
        5.0760578297243955,
        5.076078332034733,
        5.076098357547155,
        5.076118383059578,
        5.0761384085720005,
        5.076158434084423,
        5.0761784595968455,
        5.076198485109268,
        5.076218510621691,
        5.076239012932028,
        5.0762590384444515,
        5.076279063956874,
        5.0762990894692965,
        5.076319114981719,
        5.076339140494142,
        5.076359166006564,
        5.076379191518987,
        5.076399217031409,
        5.076419242543832,
        5.076439268056254,
        5.076459293568678,
        5.076479795879014,
        5.076499821391438,
        5.07651984690386,
        5.076539872416283,
        5.076559897928705,
        5.076579923441128,
        5.07659994895355,
        5.076619974465973,
        5.076639999978395,
        5.076660025490818,
        5.07668005100324,
        5.076700076515664,
        5.076720102028086,
        5.076740127540509,
        5.076760153052931,
        5.076780178565354,
        5.076800204077776,
        5.076820229590199,
        5.0768402551026215,
        5.076860280615044,
        5.0768803061274665,
        5.07690033163989,
        5.0769203571523125,
        5.076940382664735,
        5.0769604081771575,
        5.07698043368958,
        5.077000459202003,
        5.077020484714425,
        5.077040510226848,
        5.07706053573927,
        5.077080561251693,
        5.077100586764116,
        5.077120612276539,
        5.077140637788961,
        5.077160663301384,
        5.077180688813806,
        5.077200237528314,
        5.077220263040736,
        5.077240288553159,
        5.077260314065581,
        5.077280339578005,
        5.077300365090427,
        5.07732039060285,
        5.077340416115272,
        5.077360441627695,
        5.0773804671401175,
        5.07740049265254,
        5.0774205181649625,
        5.07744006687947,
        5.0774600923918936,
        5.077480117904316,
        5.077500143416739,
        5.077520168929161,
        5.077540194441584,
        5.077560219954006,
        5.077580245466429,
        5.077600270978851,
        5.07761981969336,
        5.077639845205782,
        5.077659870718205,
        5.077679896230627,
        5.07769992174305,
        5.077719947255472,
        5.077739972767895,
        5.0777595214824025,
        5.077779546994825,
        5.0777995725072484,
        5.077819598019671,
        5.0778396235320935,
        5.077859649044516,
        5.077879197759024,
        5.077899223271446,
        5.077919248783869,
        5.077939274296291,
        5.077959299808714,
        5.077978848523222,
        5.077998874035645,
        5.078018899548067,
        5.07803892506049,
        5.078058950572912,
        5.07807849928742,
        5.0780985247998425,
        5.078118550312265,
        5.078138575824688,
        5.078158124539196,
        5.0781781500516185,
        5.078198175564041,
        5.078218201076464,
        5.078238226588886,
        5.078257775303394,
        5.078277800815816,
        5.07829782632824,
        5.078317851840662,
        5.07833740055517,
        5.078357426067592,
        5.078377451580015,
        5.0783970002945225,
        5.078417025806945,
        5.078437051319368,
        5.078457076831791,
        5.0784766255462985,
        5.078496651058721,
        5.078516676571144,
        5.078536225285651,
        5.078556250798074,
        5.078576276310496,
        5.07859630182292,
        5.078615850537427,
        5.07863587604985,
        5.078655901562272,
        5.07867545027678,
        5.078695475789202,
        5.078715501301625,
        5.0787350500161335,
        5.078755075528556,
        5.0787751010409785,
        5.078794649755486,
        5.078814675267909,
        5.078834700780331,
        5.078854249494839,
        5.078874275007262,
        5.078894300519685,
        5.078913849234192,
        5.078933874746615,
        5.078953900259037,
        5.078973448973545,
        5.0789934744859675,
        5.079013023200476,
        5.0790330487128985,
        5.079053074225321,
        5.079072622939829,
        5.079092648452251,
        5.079112197166759,
        5.079132222679181,
        5.079152248191605,
        5.079171796906112,
        5.079191822418535,
        5.079211371133042,
        5.079231396645465,
        5.0792514221578875,
        5.079270970872395,
        5.0792909963848185,
        5.079310545099326,
        5.079330570611749,
        5.079350596124171,
        5.079370144838679,
        5.079390170351101,
        5.079409719065609,
        5.079429744578032,
        5.07944929329254,
        5.079469318804962,
        5.07948886751947,
        5.079508893031893,
        5.0795284417464,
        5.079548467258824,
        5.079568015973331,
        5.079588041485754,
        5.079608066998176,
        5.079627615712684,
        5.079647641225106,
        5.079667189939614,
        5.079687215452037,
        5.079706764166545,
        5.0797267896789675,
        5.079746338393475,
        5.079766363905898,
        5.079785912620405,
        5.079805938132829,
        5.079825486847336,
        5.079845512359759,
        5.079865061074266,
        5.079884609788774,
        5.0799046353011965,
        5.079924184015705,
        5.0799442095281275,
        5.079963758242635,
        5.079983783755058,
        5.080003332469565,
        5.080023357981988,
        5.080042906696496,
        5.080062932208919,
        5.080082480923426,
        5.080102029637934,
        5.0801220551503565,
        5.080141603864864,
        5.080161629377287,
        5.080181178091795,
        5.080201203604218,
        5.080220752318725,
        5.080240301033233,
        5.080260326545655,
        5.080299900772586,
        5.080359023714024,
        5.080378572428532,
        5.080398597940955,
        5.083166886634423,
        5.086685655245827,
        5.08674334779352,
        5.086762896508028,
        5.086781968424621,
        5.086801040341214,
        5.086820112257807,
        5.0868396609723145,
        5.086858732888908,
        5.086877804805501,
        5.0868968767220935,
        5.086916425436602,
        5.086935497353195,
        5.086954569269787,
        5.086973641186381,
        5.0869927131029735,
        5.087012261817481,
        5.087031333734074,
        5.087050405650667,
        5.08706947756726,
        5.087088549483853,
        5.087108098198361,
        5.087127170114954,
        5.0871462420315465,
        5.08716531394814,
        5.087184385864733,
        5.08720393457924,
        5.087223006495833,
        5.087242078412427,
        5.087261150329019,
        5.087280222245612,
        5.0872992941622055,
        5.087318842876713,
        5.087337914793306,
        5.087356986709899,
        5.087376058626492,
        5.087395130543085,
        5.087414202459678,
        5.087433751174186,
        5.0874528230907785,
        5.087471895007372,
        5.087490966923965,
        5.087510038840557,
        5.087529110757151,
        5.091030953042576,
        5.095183147683824,
        5.095206033983735,
        5.095228920283646,
        5.095251329785643,
        5.095274216085555,
        5.095297102385467,
        5.095319511887463,
        5.095342398187375,
        5.095365284487286,
        5.095387693989283,
        5.095410580289195,
        5.095433466589106,
        5.095455876091103,
        5.095478762391014,
        5.095501648690926,
        5.095524058192923,
        5.095546944492835,
        5.095569830792746,
        5.095592240294742,
        5.095615126594654,
        5.0956380128945655,
        5.095660422396563,
        5.095683308696474,
        5.095705718198471,
        5.095728604498382,
        5.0957514907982935,
        5.095773900300291,
        5.095796786600202,
        5.095819672900114,
        5.09584208240211,
        5.095864968702022,
        5.095887378204019,
        5.095910264503931,
        5.095933150803842,
        5.095955560305839,
        5.09597844660575,
        5.096000856107747,
        5.096023742407659,
        5.096046151909655,
        5.096069038209567,
        5.096091924509478,
        5.096114334011475,
        5.096137220311387,
        5.096159629813384,
        5.096182516113295,
        5.096204925615291,
        5.096227811915203,
        5.0962502214172,
        5.096273107717112,
        5.096295994017023,
        5.09631840351902,
        5.096341289818931,
        5.0963636993209285,
        5.09638658562084,
        5.096408995122837,
        5.096431881422748,
        5.096454290924744,
        5.096477177224656,
        5.096499586726653,
        5.096522473026565,
        5.096544882528561,
        5.096567768828473,
        5.0965901783304695,
        5.0966130646303816,
        5.096635474132378,
        5.09665836043229,
        5.096680769934286,
        5.096703656234197,
        5.096726065736195,
        5.096748952036106,
        5.096771361538103,
        5.096793771040099,
        5.096816657340011,
        5.096839066842008,
        5.09686195314192,
        5.096884362643916,
        5.096907248943828,
        5.096929658445824,
        5.0969525447457364,
        5.096974954247733,
        5.09699736374973,
        5.097020250049641,
        5.097042659551637,
        5.0970655458515495,
        5.097087955353546,
        5.097110364855543,
        5.097133251155454,
        5.097155660657451,
        5.0971785469573625,
        5.09720095645936,
        5.097223365961356,
        5.097246252261268,
        5.097268661763264,
        5.097291548063176,
        5.097313957565173,
        5.09733636706717,
        5.097359253367081,
        5.097381662869078,
        5.0974040723710745,
        5.097426958670986,
        5.097449368172983,
        5.097471777674979,
        5.097494663974891,
        5.0975170734768875,
        5.097539482978885,
        5.097562369278796,
        5.097584778780793,
        5.097607188282789,
        5.0976300745827015,
        5.097652484084698,
        5.097674893586695,
        5.097697779886606,
        5.097720189388603,
        5.0977425988905996,
        5.097765485190512,
        5.097787894692508,
        5.097810304194505,
        5.097833190494416,
        5.0978555999964135,
        5.099227824395277,
        5.099250233897274,
        5.099272643399271,
        5.099295052901267,
        5.099317462403264,
        5.0993398719052605,
        5.099362281407258,
        5.099384690909254,
        5.099407100411251,
        5.099429509913247,
        5.099451919415245,
        5.099474328917241,
        5.099496738419238,
        5.099519147921234,
        5.0995415574232315,
        5.099563966925228,
        5.09958685322514,
        5.099609262727136,
        5.099631672229133,
        5.0996540817311296,
        5.099676491233127,
        5.099698900735123,
        5.09972131023712,
        5.099743719739116,
        5.099766129241114,
        5.099788061945196,
        5.099810471447192,
        5.099832880949189,
        5.099855290451186,
        5.099877699953183,
        5.099900109455179,
        5.099922518957176,
        5.0999449284591725,
        5.09996733796117,
        5.099989747463166,
        5.100012156965163,
        5.100034566467159,
        5.1000569759691565,
        5.100079385471153,
        5.10010179497315,
        5.100124204475146,
        5.100146613977143,
        5.10016902347914,
        5.100191432981137,
        5.100213842483133,
        5.100235775187215,
        5.1002581846892125,
        5.100280594191209,
        5.100303003693206,
        5.100325413195202,
        5.100347822697199,
        5.100370232199196,
        5.100392641701193,
        5.100415051203189,
        5.100436983907271,
        5.100459393409268,
        5.100481802911265,
        5.100504212413261,
        5.100526621915258,
        5.100549031417255,
        5.100571440919252,
        5.100593850421248,
        5.10061578312533,
        5.100638192627327,
        5.100660602129324,
        5.100683011631321,
        5.100705421133317,
        5.100727830635314,
        5.100749763339396,
        5.100772172841393,
        5.100794582343389,
        5.100816991845386,
        5.100839401347383,
        5.10086181084938,
        5.100883743553462,
        5.100906153055458,
        5.100928562557455,
        5.100950972059452,
        5.100973381561449,
        5.10099531426553,
        5.101017723767527,
        5.101040133269524,
        5.101062542771521,
        5.101084475475602,
        5.101106884977599,
        5.101129294479596,
        5.101151703981593,
        5.101174113483589,
        5.101196046187671,
        5.1012184556896685,
        5.101240865191665,
        5.101263274693662,
        5.101285207397743,
        5.10130761689974,
        5.101330026401737,
        5.101352435903734,
        5.101374368607815,
        5.101396778109812,
        5.101419187611809,
        5.101441120315891,
        5.101463529817888,
        5.101485939319884,
        5.1015083488218815,
        5.101530281525963,
        5.10155269102796,
        5.101575100529956,
        5.101597033234039,
        5.101619442736035,
        5.101641852238032,
        5.101663784942114,
        5.1016861944441105,
        5.101708603946108,
        5.101731013448104,
        5.101752946152186,
        5.1017753556541825,
        5.10179776515618,
        5.101819697860261,
        5.101842107362258,
        5.10186404006634,
        5.101886449568337,
        5.101908859070334,
        5.101930791774415,
        5.101953201276412,
        5.101975610778409,
        5.101997543482491,
        5.102019952984487,
        5.102042362486484,
        5.102064295190567,
        5.102086704692563,
        5.102108637396645,
        5.102131046898641,
        5.1021534564006386,
        5.10217538910472,
        5.102197798606717,
        5.102219731310799,
        5.102242140812796,
        5.102264550314793,
        5.102286483018874,
        5.102308892520871,
        5.102330825224953,
        5.10235323472695,
        5.102375644228946,
        5.102397576933028,
        5.1024199864350255,
        5.102441919139107,
        5.102464328641104,
        5.102486261345185,
        5.1025086708471825,
        5.102530603551265,
        5.102553013053261,
        5.102575422555258,
        5.1025973552593396,
        5.102619764761337,
        5.102641697465418,
        5.102664106967415,
        5.102686039671497,
        5.102708449173494,
        5.102730381877576,
        5.102752791379572,
        5.1027747240836545,
        5.102797133585651,
        5.102819066289733,
        5.102841475791729,
        5.1028634084958115,
        5.102885817997809,
        5.10290775070189,
        5.102930160203887,
        5.102952092907969,
        5.102974502409966,
        5.102996435114048,
        5.103018844616044,
        5.1030407773201265,
        5.103063186822123,
        5.103085119526205,
        5.103107052230286,
        5.1031294617322835,
        5.103151394436366,
        5.103173803938362,
        5.103195736642444,
        5.103218146144441,
        5.103240078848523,
        5.103262488350519,
        5.103284421054601,
        5.103306353758684,
        5.10332876326068,
        5.103350695964762,
        5.103373105466758,
        5.103395038170841,
        5.103416970874923,
        5.103439380376919,
        5.103461313081001,
        5.103483722582998,
        5.10350565528708,
        5.103527587991162,
        5.103549997493158,
        5.103571930197241,
        5.103594339699237,
        5.103616272403319,
        5.1036382051074005,
        5.103660614609398,
        5.10368254731348,
        5.103704480017561,
        5.103726889519558,
        5.10374882222364,
        5.103770754927722,
        5.103793164429719,
        5.1038150971338005,
        5.103837029837883,
        5.103859439339879,
        5.103881372043961,
        5.1039033047480435,
        5.10392571425004,
        5.103947646954122,
        5.103969579658203,
        5.103991989160201,
        5.104013921864283,
        5.104035854568364,
        5.104058264070361,
        5.104080196774443,
        5.104102129478525,
        5.104124538980521,
        5.1041464716846034,
        5.104168404388686,
        5.104190337092767,
        5.104212746594764,
        5.104234679298846,
        5.104256612002928,
        5.10427854470701,
        5.104300954209006,
        5.1043228869130886,
        5.104344819617171,
        5.104366752321252,
        5.104389161823249,
        5.104411094527331,
        5.104433027231413,
        5.104454959935495,
        5.104477369437491,
        5.104499302141574,
        5.104521234845655,
        5.104543167549737,
        5.104565577051734,
        5.104587509755816,
        5.104609442459898,
        5.104631375163979,
        5.104653307868062,
        5.104675717370059,
        5.10469765007414,
        5.104719582778222,
        5.104741515482304,
        5.104763448186386,
        5.104785857688383,
        5.1048077903924645,
        5.104829723096547,
        5.104851655800629,
        5.10487358850471,
        5.1048955212087925,
        5.104917930710789,
        5.104939863414871,
        5.104961796118953,
        5.104983728823035,
        5.105005661527117,
        5.105027594231198,
        5.105050003733195,
        5.105071936437278,
        5.105093869141359,
        5.105115801845441,
        5.1051377345495235,
        5.105159667253605,
        5.105181599957687,
        5.105203532661768,
        5.105225942163766,
        5.105247874867848,
        5.105269807571929,
        5.105291740276011,
        5.105313672980093,
        5.105335605684175,
        5.105357538388257,
        5.105379471092339,
        5.105401403796421,
        5.105423336500503,
        5.105445746002499,
        5.105467678706582,
        5.105489611410663,
        5.105511544114745,
        5.105533476818827,
        5.105555409522909,
        5.105577342226991,
        5.105599274931073,
        5.105621207635155,
        5.105643140339237,
        5.105665073043318,
        5.1056870057474,
        5.105708938451483,
        5.105730871155564,
        5.105752803859646,
        5.1057747365637285,
        5.10579666926781,
        5.105818601971892,
        5.105840534675974,
        5.105862467380056,
        5.105884400084138,
        5.105906332788219,
        5.1059282654923015,
        5.105950198196384,
        5.105972130900465,
        5.105994063604547,
        5.10601599630863,
        5.106037929012711,
        5.106059861716793,
        5.1060817944208745,
        5.106103727124957,
        5.106125659829039,
        5.10614759253312,
        5.106169525237203,
        5.106191457941285,
        5.106213390645366,
        5.106235323349448,
        5.106257256053531,
        5.106279188757612,
        5.106301121461694,
        5.106323054165776,
        5.106344986869858,
        5.10636691957394,
        5.106388852278021,
        5.106410308184189,
        5.106432240888271,
        5.106454173592352,
        5.106476106296435,
        5.106498039000517,
        5.106519971704598,
        5.10654190440868,
        5.106563837112763,
        5.106585769816844,
        5.106607702520926,
        5.1066291584270935,
        5.106651091131175,
        5.106673023835257,
        5.1066949565393385,
        5.106716889243421,
        5.106738821947503,
        5.106760754651584,
        5.1067826873556665,
        5.106804143261834,
        5.106826075965915,
        5.106848008669997,
        5.10686994137408,
        5.106891874078161,
        5.106913806782243,
        5.1069357394863255,
        5.106957195392492,
        5.106979128096574,
        5.107001060800656,
        5.107022993504738,
        5.10704492620882,
        5.107066382114987,
        5.107088314819069,
        5.107110247523151,
        5.107132180227232,
        5.1071541129313145,
        5.107175568837482,
        5.107197501541563,
        5.107219434245645,
        5.107241366949728,
        5.107263299653809,
        5.107284755559976,
        5.1073066882640585,
        5.10732862096814,
        5.107350553672222,
        5.107372486376304,
        5.107393942282471,
        5.107415874986553,
        5.107437807690635,
        5.107459740394717,
        5.107481196300884,
        5.107503129004966,
        5.1075250617090475,
        5.10754699441313,
        5.107568450319297,
        5.107590383023378,
        5.107830212374536,
        5.107851668280702,
        5.107873600984784,
        5.1078955336888665,
        5.107917466392948,
        5.107938922299115,
        5.107960855003197,
        5.107982787707279,
        5.108004243613446,
        5.108026176317528,
        5.108047632223695,
        5.108069564927777,
        5.108091497631859,
        5.108112953538026,
        5.108134886242108,
        5.10815681894619,
        5.1081782748523565,
        5.108200207556439,
        5.108222140260521,
        5.108243596166687,
        5.10826552887077,
        5.108286984776937,
        5.108308917481018,
        5.108330850185101,
        5.108352306091268,
        5.108374238795349,
        5.1083961714994315,
        5.108417627405599,
        5.108439560109681,
        5.1084610160158475,
        5.10848294871993,
        5.108504404626097,
        5.108526337330178,
        5.108548270034261,
        5.108569725940428,
        5.108591658644509,
        5.108613114550677,
        5.108635047254759,
        5.108656503160925,
        5.1086784358650075,
        5.10870036856909,
        5.108721824475256,
        5.108743757179338,
        5.108765213085506,
        5.108787145789587,
        5.108808601695754,
        5.108830534399837,
        5.108851990306004,
        5.108873923010085,
        5.108895378916253,
        5.108917311620335,
        5.108938767526501,
        5.1089607002305835,
        5.108982156136751,
        5.109004088840832,
        5.109025544746999,
        5.109047477451082,
        5.109068933357248,
        5.10909086606133,
        5.109112321967498,
        5.10913425467158,
        5.109155710577746,
        5.1091776432818286,
        5.109199099187996,
        5.109221031892077,
        5.1092424877982445,
        5.109264420502327,
        5.109285876408493,
        5.1093073323146605,
        5.109329265018743,
        5.10935072092491,
        5.109372653628991,
        5.109394109535159,
        5.109416042239241,
        5.109437498145407,
        5.10945943084949,
        5.109480886755657,
        5.109502342661823,
        5.109524275365906,
        5.109545731272073,
        5.109567663976154,
        5.109589119882322,
        5.109610575788489,
        5.109632508492571,
        5.1096539643987375,
        5.10967589710282,
        5.109697353008987,
        5.1097188089151535,
        5.109740741619236,
        5.109762197525403,
        5.10978365343157,
        5.109805586135652,
        5.109827042041819,
        5.109848974745901,
        5.109870430652068,
        5.109891886558235,
        5.109913819262317,
        5.109935275168484,
        5.109956731074651,
        5.109978663778733,
        5.1100001196849005,
        5.110021575591067,
        5.110043508295149,
        5.1100649642013165,
        5.110086420107483,
        5.110108352811565,
        5.1101298087177325,
        5.1101512646239,
        5.110173197327981,
        5.1101946532341485,
        5.110216109140316,
        5.110237565046483,
        5.110259497750564,
        5.110280953656732,
        5.110302409562899,
        5.11032434226698,
        5.110345798173148,
        5.110367254079315,
        5.110388709985482,
        5.110410642689564,
        5.110432098595731,
        5.110453554501898,
        5.110475010408065,
        5.110496943112147,
        5.110518399018314,
        5.110539854924482,
        5.110561310830648,
        5.11058324353473,
        5.110604699440898,
        5.110626155347064,
        5.110647611253231,
        5.1106695439573135,
        5.110690999863481,
        5.110712455769647,
        5.110733911675815,
        5.110755844379897,
        5.110777300286063,
        5.110798756192231,
        5.110820212098398,
        5.110841668004565,
        5.1108636007086465,
        5.110885056614814,
        5.110906512520981,
        5.1109279684271485,
        5.110949424333315,
        5.110970880239482,
        5.1109928129435644,
        5.111014268849731,
        5.111035724755898,
        5.1110571806620655,
        5.111078636568233,
        5.111100092474399,
        5.1111220251784815,
        5.111143481084649,
        5.111164936990816,
        5.111745200053157,
        5.111766655959324,
        5.111788588663406,
        5.111810044569573,
        5.1118315004757395,
        5.111852956381907,
        5.111874412288074,
        5.1118958681942415,
        5.111917324100408,
        5.111938780006575,
        5.1119602359127425,
        5.11198169181891,
        5.112003147725076,
        5.112024603631244,
        5.112046059537411,
        5.112067515443578,
        5.112088971349745,
        5.112110427255912,
        5.112131883162079,
        5.1121533390682465,
        5.112174794974413,
        5.11219625088058,
        5.112217706786748,
        5.112239162692915,
        5.112260618599081,
        5.112281597707334,
        5.112303053613501,
        5.112324509519668,
        5.112345965425836,
        5.112367421332002,
        5.112388877238169,
        5.112410333144337,
        5.112431789050504,
        5.11245324495667,
        5.112474700862838,
        5.112496156769005,
        5.112517612675172,
        5.112539068581339,
        5.112560524487506,
        5.112581980393673,
        5.112602959501926,
        5.112624415408092,
        5.1126458713142595,
        5.112667327220427,
        5.112688783126594,
        5.112710239032761,
        5.112731694938928,
        5.112753150845095,
        5.1127746067512625,
        5.112795585859515,
        5.112817041765681,
        5.112838497671849,
        5.112859953578016,
        5.112881409484183,
        5.11290286539035,
        5.112924321296517,
        5.112945300404769,
        5.112966756310937,
        5.112988212217103,
        5.11300966812327,
        5.113031124029438,
        5.113052579935605,
        5.1130740358417714,
        5.113095014950024,
        5.113116470856191,
        5.1131379267623585,
        5.113159382668526,
        5.113180838574692,
        5.113201817682945,
        5.113223273589112,
        5.113244729495279,
        5.113266185401446,
        5.113287641307613,
        5.113308620415865,
        5.113330076322033,
        5.113351532228199,
        5.113372988134366,
        5.113394444040534,
        5.113415423148786,
        5.113436879054953,
        5.11345833496112,
        5.113479790867287,
        5.1135007699755395,
        5.113522225881707,
        5.113543681787873,
        5.1135651376940405,
        5.113586116802293,
        5.11360757270846,
        5.1136290286146275,
        5.113650484520794,
        5.113671463629046,
        5.113692919535214,
        5.113714375441381,
        5.113735354549633,
        5.1137568104558,
        5.113778266361967,
        5.113799722268134,
        5.113820701376387,
        5.114265553830918,
        5.115478050928315,
        5.115499506834483,
        5.115562920957154,
        5.115583900065406,
        5.1156053559715735,
        5.115626335079826,
        5.115647790985993,
        5.115668770094245,
        5.115689749202497,
        5.115711205108664,
        5.115732184216917,
        5.115753163325169,
        5.1157746192313365,
        5.115795598339588,
        5.115817054245755,
        5.115838033354008,
        5.11585901246226,
        5.115880468368427,
        5.115901447476679,
        5.115922426584931,
        5.1159438824910985,
        5.115964861599351,
        5.115985840707603,
        5.116007296613771,
        5.116028275722022,
        5.1160492548302745,
        5.116070710736442,
        5.116091689844694,
        5.116112668952947,
        5.116134124859114,
        5.116155103967365,
        5.116176083075618,
        5.116197538981785,
        5.1162185180900375,
        5.11623949719829,
        5.116260953104457,
        5.116281932212709,
        5.116302911320961,
        5.116323890429213,
        5.116345346335381,
        5.116366325443633,
        5.1163873045518855,
        5.116408760458052,
        5.116429739566304,
        5.116450718674557,
        5.116471697782809,
        5.116493153688976,
        5.116514132797229,
        5.11653511190548,
        5.116556091013733,
        5.1165775469199,
        5.116598526028152,
        5.116619505136405,
        5.116640484244657,
        5.1166619401508235,
        5.116682919259076,
        5.116703898367328,
        5.116724877475581,
        5.116745856583833,
        5.11676731249,
        5.116788291598252,
        5.116809270706504,
        5.116830249814757,
        5.116851228923009,
        5.116872684829176,
        5.116893663937429,
        5.116914643045681,
        5.116935622153933,
        5.116956601262185,
        5.116978057168352,
        5.116999036276605,
        5.117020015384857,
        5.1170409944931095,
        5.117061973601361,
        5.117082952709613,
        5.117103931817866,
        5.117125387724033,
        5.117146366832285,
        5.117167345940538,
        5.11718832504879,
        5.117209304157042,
        5.117230283265294,
        5.117251262373546,
        5.117272718279714,
        5.117293697387966,
        5.1173146764962185,
        5.117335655604471,
        5.117356634712722,
        5.117377613820975,
        5.117398592929227,
        5.1174195720374795,
        5.117440551145732,
        5.117462007051899,
        5.117482986160151,
        5.117503965268403,
        5.1175249443766555,
        5.117545923484908,
        5.11756690259316,
        5.117587881701413,
        5.117608860809665,
        5.117629839917917,
        5.117650819026169,
        5.117671798134421,
        5.117692777242674,
        5.117713756350926,
        5.1177347354591785,
        5.117756191365346,
        5.117777170473597,
        5.11779814958185,
        5.117819128690102,
        5.117840107798354,
        5.117861086906607,
        5.117882066014859,
        5.117903045123112,
        5.117924024231364,
        5.117945003339615,
        5.117965982447868,
        5.11798696155612,
        5.118007940664373,
        5.118028919772625,
        5.118049898880877,
        5.11807087798913,
        5.118091857097381,
        5.118112836205634,
        5.118133815313886,
        5.118154794422138,
        5.118175773530391,
        5.118196752638643,
        5.1182177317468955,
        5.118238710855148,
        5.118259213165485,
        5.118280192273737,
        5.118301171381989,
        5.118322150490242,
        5.118343129598494,
        5.118364108706746,
        5.118385087814999,
        5.118406066923251,
        5.118427046031503,
        5.118448025139755,
        5.118469004248007,
        5.11848998335626,
        5.118510962464512,
        5.118531941572765,
        5.118552920681017,
        5.118573422991354,
        5.118594402099606,
        5.118615381207858,
        5.118636360316111,
        5.118657339424363,
        5.1186783185326155,
        5.118699297640868,
        5.11872027674912,
        5.118741255857373,
        5.11876175816771,
        5.118782737275962,
        5.118803716384214,
        5.118824695492466,
        5.118845674600719,
        5.118866653708971,
        5.1188876328172235,
        5.118908135127561,
        5.118929114235813,
        5.118950093344065,
        5.118971072452317,
        5.11899205156057,
        5.119013030668822,
        5.119033532979159,
        5.119054512087412,
        5.119075491195664,
        5.119096470303917,
        5.119117449412168,
        5.1191384285204204,
        5.119158930830758,
        5.11917990993901,
        5.119200889047263,
        5.119221868155515,
        5.119242847263767,
        5.119263349574105,
        5.119284328682357,
        5.11930530779061,
        5.119326286898861,
        5.119346789209199,
        5.119367768317451,
        5.119388747425703,
        5.119409726533956,
        5.119430705642208,
        5.119451207952546,
        5.119472187060798,
        5.11949316616905,
        5.119514145277302,
        5.119534647587639,
        5.119555626695892,
        5.119576605804144,
        5.1195971081144815,
        5.119618087222734,
        5.119639066330986,
        5.119660045439239,
        5.119680547749576,
        5.1197015268578285,
        5.11972250596608,
        5.1197430082764175,
        5.11976398738467,
        5.119784966492922,
        5.119805945601175,
        5.119826447911512,
        5.1198474270197645,
        5.119868406128017,
        5.119888908438354,
        5.119909887546607,
        5.119930866654858,
        5.119951368965196,
        5.119972348073448,
        5.1199933271817,
        5.120013829492038,
        5.12003480860029,
        5.120055787708543,
        5.12007629001888,
        5.1200972691271325,
        5.120118248235385,
        5.120138750545722,
        5.120159729653974,
        5.120180708762226,
        5.120201211072564,
        5.120222190180816,
        5.1202426924911535,
        5.120263671599406,
        5.120284650707658,
        5.120305153017996,
        5.120326132126248,
        5.1203466344365856,
        5.120367613544838,
        5.120388592653089,
        5.120409094963427,
        5.120430074071679,
        5.120450576382017,
        5.120471555490269,
        5.1204925345985215,
        5.120513036908859,
        5.120534016017111,
        5.120554518327449,
        5.120575497435701,
        5.120595999746039,
        5.120616978854291,
        5.1206379579625425,
        5.12065846027288,
        5.120679439381132,
        5.12069994169147,
        5.120720920799722,
        5.12074142311006,
        5.120762402218312,
        5.1207829045286495,
        5.120803883636902,
        5.120824385947239,
        5.120845365055492,
        5.120865867365829,
        5.120886846474081,
        5.120907348784418,
        5.1209283278926705,
        5.120948830203008,
        5.12096980931126,
        5.120990311621598,
        5.12101129072985,
        5.121031793040188,
        5.12105277214844,
        5.1210732744587775,
        5.12109425356703,
        5.121114755877367,
        5.12113573498562,
        5.121156237295957,
        5.121177216404209,
        5.121197718714546,
        5.1212186978227985,
        5.121239200133136,
        5.121259702443473,
        5.121280681551726,
        5.121301183862063,
        5.121322162970316,
        5.121342665280653,
        5.1213636443889055,
        5.121384146699243,
        5.121405125807495,
        5.121425628117833,
        5.12144613042817,
        5.121467109536422,
        5.121487611846759,
        5.1215085909550115,
        5.121529093265349,
        5.1215495955756865,
        5.121570574683939,
        5.121591076994276,
        5.121612056102529,
        5.121632558412866,
        5.121653060723204,
        5.121674039831456,
        5.121694542141793,
        5.121715044452131,
        5.121736023560383,
        5.121756525870721,
        5.121777504978973,
        5.121798007289311,
        5.121818509599647,
        5.1218394887078995,
        5.121859991018237,
        5.121880493328574,
        5.121901472436827,
        5.121921974747164,
        5.121942477057502,
        5.121963456165754,
        5.121983958476092,
        5.122004460786429,
        5.122025439894681,
        5.122045942205019,
        5.122066444515356,
        5.122086946825694,
        5.122107925933946,
        5.122128428244284,
        5.122148930554621,
        5.122169909662873,
        5.12219041197321,
        5.1222109142835475,
        5.1222318933918,
        5.122252395702137,
        5.122272898012475,
        5.122293400322812,
        5.122314379431065,
        5.122334881741402,
        5.1223553840517395,
        5.122375886362077,
        5.122396865470329,
        5.122417367780667,
        5.122437870091004,
        5.122458372401342,
        5.122479351509594,
        5.122499853819932,
        5.122520356130269,
        5.1225408584406065,
        5.122561837548859,
        5.122582339859196,
        5.122602842169534,
        5.122623344479871,
        5.122643846790209,
        5.12266482589846,
        5.122685328208798,
        5.122705830519135,
        5.1227263328294725,
        5.12274683513981,
        5.122767814248062,
        5.1227883165584,
        5.122808818868737,
        5.122829321179075,
        5.122849823489412,
        5.12287032579975,
        5.122891304908002,
        5.1229118072183395,
        5.122932309528677,
        5.122952811839014,
        5.122973314149352,
        5.122993816459689,
        5.123014795567942,
        5.123035297878279,
        5.123055800188617,
        5.123076302498954,
        5.1230968048092915,
        5.123117307119629,
        5.123137809429966,
        5.123158311740304,
        5.123179290848555,
        5.123199793158893,
        5.12322029546923,
        5.123240797779568,
        5.123261300089905,
        5.123281802400243,
        5.12330230471058,
        5.123322807020918,
        5.123343309331255,
        5.1233638116415925,
        5.123384790749845,
        5.123405293060182,
        5.12342579537052,
        5.123446297680857,
        5.123466799991195,
        5.123487302301532,
        5.12350780461187,
        5.123528306922207,
        5.1235488092325445,
        5.123569311542882,
        5.123589813853219,
        5.123610316163557,
        5.123630818473894,
        5.123651320784232,
        5.123671823094569,
        5.123692325404907,
        5.123712827715244,
        5.123733330025582,
        5.123753832335919,
        5.1237743346462565,
        5.123794836956594,
        5.1238153392669314,
        5.123835841577269,
        5.123856343887606,
        5.123876846197944,
        5.123897348508281,
        5.123917850818619,
        5.123938353128956,
        5.123958855439294,
        5.123979357749631,
        5.1239998600599685,
        5.124020362370306,
        5.1240408646806435,
        5.124061366990981,
        5.124081869301318,
        5.124102371611656,
        5.124122873921993,
        5.124143376232331,
        5.124163878542668,
        5.124184380853006,
        5.124204883163343,
        5.124225385473681,
        5.124245887784017,
        5.124266390094355,
        5.124286892404692,
        5.1243073947150295,
        5.124327420227453,
        5.12434792253779,
        5.124368424848127,
        5.124388927158464,
        5.124409429468802,
        5.124429931779139,
        5.124450434089477,
        5.124470936399814,
        5.124491438710152,
        5.124511941020489,
        5.124531966532912,
        5.124552468843249,
        5.124572971153587,
        5.124593473463924,
        5.1246139757742615,
        5.124634478084599,
        5.124654980394936,
        5.124675482705274,
        5.124695508217696,
        5.124716010528034,
        5.124736512838371,
        5.124859049902481,
        5.1248795522128185,
        5.124900054523156,
        5.1249205568334935,
        5.124940582345916,
        5.124961084656253,
        5.124981586966591,
        5.125002089276928,
        5.125022591587266,
        5.125042617099689,
        5.125063119410026,
        5.125083621720363,
        5.125104124030701,
        5.125124626341038,
        5.125144651853462,
        5.125165154163799,
        5.1251856564741365,
        5.125206158784473,
        5.1252261842968965,
        5.125246686607234,
        5.125267188917571,
        5.125287691227909,
        5.125307716740331,
        5.125328219050669,
        5.125348721361006,
        5.125369223671344,
        5.125389249183766,
        5.125409751494104,
        5.125430253804441,
        5.125450756114779,
        5.125470781627201,
        5.125491283937539,
        5.125511786247876,
        5.125531811760299,
        5.125552314070636,
        5.1255728163809735,
        5.125593318691311,
        5.1256133442037335,
        5.125633846514071,
        5.125654348824408,
        5.125674374336831,
        5.125694876647168,
        5.125715378957506,
        5.125735404469928,
        5.125755906780266,
        5.125776409090603,
        5.125796434603026,
        5.125816936913363,
        5.125837439223701,
        5.125857464736123,
        5.125877967046461,
        5.125898469356798,
        5.125918494869221,
        5.125938997179558,
        5.125959022691981,
        5.125979525002318,
        5.126000027312656,
        5.126020052825078,
        5.126040555135416,
        5.126061057445753,
        5.1260810829581755,
        5.126101585268513,
        5.1261216107809355,
        5.126142113091273,
        5.1261626154016104,
        5.126182640914034,
        5.126203143224371,
        5.126223168736794,
        5.126243671047131,
        5.126264173357469,
        5.126284198869891,
        5.126304701180229,
        5.126324726692651,
        5.126345229002989,
        5.126365254515411,
        5.126385756825749,
        5.126406259136086,
        5.126426284648509,
        5.126446786958846,
        5.126466812471269,
        5.126487314781606,
        5.126507340294029,
        5.126527842604366,
        5.126547868116789,
        5.126568370427126,
        5.126588395939549,
        5.126608898249886,
        5.126628923762309,
        5.126649426072646,
        5.126669451585069,
        5.126689953895406,
        5.126709979407829,
        5.126730481718166,
        5.1267505072305894,
        5.126771009540927,
        5.126791035053349,
        5.126811537363687,
        5.126831562876109,
        5.126852065186447,
        5.126872090698869,
        5.126892593009207,
        5.126912618521629,
        5.126933120831967,
        5.126953146344389,
        5.126973648654727,
        5.126993674167149,
        5.127014176477487,
        5.127034201989909,
        5.127054227502332,
        5.127074729812669,
        5.127094755325092,
        5.127115257635429,
        5.127135283147852,
        5.127155785458189,
        5.127175810970612,
        5.127195836483035,
        5.127216338793373,
        5.127236364305795,
        5.127256866616133,
        5.127276892128555,
        5.127297394438893,
        5.127317419951315,
        5.127337445463738,
        5.127357947774075,
        5.127377973286498,
        5.12739799879892,
        5.127418501109258,
        5.12743852662168,
        5.127459028932018,
        5.12747905444444,
        5.127499079956863,
        5.1275195822672,
        5.127539607779623,
        5.127559633292046,
        5.127580135602384,
        5.127600161114806,
        5.127620186627229,
        5.127640688937566,
        5.127660714449989,
        5.127680739962411,
        5.127701242272749,
        5.127721267785171,
        5.127741293297594,
        5.127761795607931,
        5.127781821120354,
        5.127801846632776,
        5.127822348943114,
        5.127842374455536,
        5.127862399967959,
        5.127882902278296,
        5.1279029277907195,
        5.127922953303142,
        5.127942978815565,
        5.127963481125902,
        5.127983506638325,
        5.128003532150747,
        5.128024034461085,
        5.128044059973507,
        5.12806408548593,
        5.128084110998352,
        5.12810461330869,
        5.128124638821112,
        5.128144664333535,
        5.128164689845958,
        5.128185192156295,
        5.128205217668718,
        5.128225243181141,
        5.128245268693563,
        5.128265771003901,
        5.128285796516323,
        5.128305822028746,
        5.128325847541168,
        5.128345873053591,
        5.128366375363928,
        5.128386400876351,
        5.128406426388773,
        5.128426451901196,
        5.128446477413619,
        5.128466979723957,
        5.128487005236379,
        5.128507030748802,
        5.128527056261224,
        5.128547081773647,
        5.128567584083984,
        5.128587609596407,
        5.128607635108829,
        5.128627660621252,
        5.128647686133674,
        5.128667711646097,
        5.128688213956434,
        5.128708239468857,
        5.12872826498128,
        5.128748290493703,
        5.128768316006125,
        5.128788341518548,
        5.12880836703097,
        5.128828869341308,
        5.12884889485373,
        5.128868920366153,
        5.128888945878575,
        5.128908971390998,
        5.12892899690342,
        5.128949022415844,
        5.128969047928266,
        5.128989073440689,
        5.129009575751026,
        5.129029601263449,
        5.129049626775871,
        5.129069652288294,
        5.1290896778007165,
        5.129109703313139,
        5.1291297288255615,
        5.129149754337984,
        5.1291697798504075,
        5.12918980536283,
        5.1292098308752525,
        5.129229856387675,
        5.129249881900098,
        5.129270384210435,
        5.1292904097228575,
        5.12931043523528,
        5.129330460747703,
        5.129350486260125,
        5.129370511772548,
        5.129390537284971,
        5.129410562797394,
        5.129430588309816,
        5.129450613822239,
        5.129470639334661,
        5.129490664847084,
        5.129510690359506,
        5.129530715871929,
        5.129550741384351,
        5.129570766896774,
        5.129590792409197,
        5.129910723810044,
        5.129930749322466,
        5.129950774834889,
        5.129970800347312,
        5.129990825859735,
        5.130010851372157,
        5.13003087688458,
        5.130050902397002,
        5.130070927909425,
        5.130090953421847,
        5.13011097893427,
        5.130130527648777,
        5.130150553161201,
        5.130170578673623,
        5.130190604186046,
        5.130210629698468,
        5.130230655210891,
        5.1302506807233135,
        5.130270706235736,
        5.1302907317481585,
        5.130310280462666,
        5.1303303059750895,
        5.130350331487512,
        5.130370356999935,
        5.130390382512357,
        5.13041040802478,
        5.130430433537202,
        5.13044998225171,
        5.130470007764132,
        5.130490033276555,
        5.130510058788978,
        5.130530084301401,
        5.130550109813823,
        5.130569658528331,
        5.130589684040753,
        5.130609709553176,
        5.1306297350655985,
        5.130649760578021,
        5.1306693092925295,
        5.130689334804952,
        5.130709360317375,
        5.130729385829797,
        5.13074941134222,
        5.130768960056727,
        5.13078898556915,
        5.130809011081572,
        5.130829036593996,
        5.130848585308503,
        5.130868610820926,
        5.130888636333348,
        5.130908661845771,
        5.130928687358193,
        5.130948236072701,
        5.1309682615851235,
        5.130988287097547,
        5.1310083126099695,
        5.131027861324477,
        5.1310478868369,
        5.131067912349322,
        5.13108746106383,
        5.131107486576252,
        5.131127512088675,
        5.131147537601098,
        5.131167086315606,
        5.131187111828028,
        5.131207137340451,
        5.1312266860549585,
        5.131246711567381,
        5.1312667370798035,
        5.131286762592226,
        5.1313063113067345,
        5.131326336819157,
        5.13134636233158,
        5.131365911046087,
        5.13138593655851,
        5.131405962070932,
        5.131425510785441,
        5.131445536297863,
        5.131465561810286,
        5.131485110524793,
        5.131505136037216,
        5.1315251615496384,
        5.131544710264146,
        5.131564735776569,
        5.131584761288992,
        5.1316043100035,
        5.131624335515922,
        5.13164388423043,
        5.131663909742852,
        5.131683935255275,
        5.131703483969783,
        5.131723509482206,
        5.131743534994628,
        5.131763083709136,
        5.1317831092215584,
        5.131802657936066,
        5.131822683448489,
        5.131842708960911,
        5.13186225767542,
        5.131882283187842,
        5.13190183190235,
        5.131921857414772,
        5.131941882927195,
        5.131961431641702,
        5.131981457154125,
        5.132001005868633,
        5.132021031381056,
        5.1320405800955635,
        5.132060605607986,
        5.132080154322494,
        5.132100179834916,
        5.13212020534734,
        5.132139754061847,
        5.13215977957427,
        5.132179328288777,
        5.1321993538012,
        5.1322189025157074,
        5.13223892802813,
        5.1322584767426385,
        5.132278502255061,
        5.132298050969569,
        5.132318076481991,
        5.132337625196499,
        5.132357650708921,
        5.13237719942343,
        5.132397224935852,
        5.13241677365036,
        5.132436799162782,
        5.13245634787729,
        5.1324763733897125,
        5.132495922104221,
        5.1325159476166435,
        5.132535496331151,
        5.132555521843574,
        5.132575070558081,
        5.132595096070504,
        5.132614644785012,
        5.13263419349952,
        5.132654219011942,
        5.13267376772645,
        5.1326937932388725,
        5.13271334195338,
        5.132733367465803,
        5.132752916180311,
        5.132772941692734,
        5.132792490407241,
        5.132812039121749,
        5.132832064634171,
        5.13285161334868,
        5.132871638861102,
        5.13289118757561,
        5.132910736290118,
        5.13293076180254,
        5.132950310517048,
        5.13297033602947,
        5.132989884743979,
        5.133009433458486,
        5.133029458970909,
        5.1330490076854165,
        5.133069033197839,
        5.1330885819123475,
        5.133108130626855,
        5.133128156139278,
        5.133147704853785,
        5.133167253568293,
        5.133187279080715,
        5.133206827795224,
        5.1332263765097315,
        5.133246402022154,
        5.133265950736662,
        5.133285499451169,
        5.133305524963592,
        5.1333250736781,
        5.133344622392608,
        5.13336464790503,
        5.133384196619538,
        5.1334037453340455,
        5.133423770846469,
        5.1334433195609765,
        5.133462868275484,
        5.133482893787907,
        5.133502442502414,
        5.133521991216922,
        5.13354153993143,
        5.133561565443853,
        5.1335811141583605,
        5.133600662872868,
        5.133620688385291,
        5.133640237099799,
        5.133659785814307,
        5.133679334528814,
        5.133699360041237,
        5.133718908755744,
        5.133738457470253,
        5.1337580061847605,
        5.133778031697183,
        5.133797580411691,
        5.133817129126198,
        5.133836677840706,
        5.133856703353129,
        5.133876252067637,
        5.1338958007821445,
        5.133915349496652,
        5.133935375009075,
        5.133954923723583,
        5.133974472438091,
        5.133994021152598,
        5.134013569867106,
        5.134033595379528,
        5.134053144094037,
        5.1340726928085445,
        5.134092241523052,
        5.13411179023756,
        5.134131815749982,
        5.13415136446449,
        5.134170913178998,
        5.134190461893506,
        5.1342100106080135,
        5.134229559322521,
        5.134249584834944,
        5.134269133549452,
        5.13428868226396,
        5.134308230978467,
        5.134327779692975,
        5.134347328407483,
        5.134366877121991,
        5.1343869026344136,
        5.134406451348921,
        5.134426000063429,
        5.134445548777936,
        5.134465097492445,
        5.134484646206952,
        5.13450419492146,
        5.134523743635968,
        5.13454376914839,
        5.134563317862899,
        5.134582866577406,
        5.134602415291914,
        5.1346219640064215,
        5.13464151272093,
        5.1346610614354375,
        5.134680610149945,
        5.134700158864453,
        5.13471970757896,
        5.134739256293469,
        5.134759281805891,
        5.134778830520399,
        5.134798379234907,
        5.134817927949414,
        5.134837476663923,
        5.13485702537843,
        5.134876574092938,
        5.1348961228074455,
        5.134915671521953,
        5.1349352202364615,
        5.134954768950969,
        5.134974317665477,
        5.134993866379984,
        5.135013415094493,
        5.135032963809,
        5.135052512523508,
        5.135072061238016,
        5.135091609952523,
        5.135111158667032,
        5.135130707381539,
        5.135150256096047,
        5.1351698048105545,
        5.135189353525062,
        5.135208902239571,
        5.135228450954078,
        5.135247999668586,
        5.135267548383093,
        5.135287097097602,
        5.1353066458121095,
        5.135326194526617,
        5.135345743241125,
        5.135365291955632,
        5.135384840670141,
        5.135404389384648,
        5.135423938099156,
        5.135443486813664,
        5.135463035528171,
        5.13548258424268,
        5.135502132957187,
        5.13552120487378,
        5.1355407535882875,
        5.135560302302796,
        5.135579851017304,
        5.135618948446319,
        5.135638497160827,
        5.135658045875335,
        5.1356775945898425,
        5.13569714330435,
        5.135716692018858,
        5.135755312649959,
        5.143096808543464,
        5.151257443254638,
        5.151279852756635,
        5.151325148558543,
        5.1513704443604516,
        5.151392853862448,
        5.151415263364445,
        5.151438149664356,
        5.151460559166353,
        5.15148296866835,
        5.151505854968262,
        5.151528264470258,
        5.15155115077017,
        5.151595969774164,
        5.15161837927616,
        5.151641265576071,
        5.151663675078068,
        5.151686084580065,
        5.151708970879977,
        5.151731380381973,
        5.15175378988397,
        5.151776676183881,
        5.151799085685878,
        5.151821495187875,
        5.151844381487787,
        5.151866790989783,
        5.15188920049178,
        5.1519116099937765,
        5.151934496293689,
        5.151956905795685,
        5.151979315297682,
        5.152001724799678,
        5.15202461109959,
        5.152047020601587,
        5.152069430103584,
        5.152092316403495,
        5.152114725905492,
        5.1521371354074885,
        5.152159544909486,
        5.152181954411482,
        5.152204840711394,
        5.15222725021339,
        5.1522496597153875,
        5.152272069217384,
        5.152294955517296,
        5.152317365019292,
        5.152339774521289,
        5.152362184023286,
        5.152384593525283,
        5.152407479825194,
        5.15242988932719,
        5.152452298829187,
        5.152474708331185,
        5.152497117833181,
        5.152520004133092,
        5.152542413635089,
        5.1525648231370855,
        5.152587232639083,
        5.152609642141079,
        5.152632051643076,
        5.152654937942987,
        5.1526773474449845,
        5.152699756946981,
        5.152722166448978,
        5.152744575950974,
        5.152766985452971,
        5.152789871752883,
        5.15281228125488,
        5.152834690756876,
        5.152857100258873,
        5.1528795097608695,
        5.152901919262867,
        5.152924328764863,
        5.15294673826686,
        5.152969624566771,
        5.1529920340687685,
        5.153014443570765,
        5.153036853072762,
        5.153059262574758,
        5.153081672076755,
        5.153104081578752,
        5.153126491080749,
        5.153148900582746,
        5.153171310084742,
        5.1531941963846535,
        5.153216605886651,
        5.153239015388647,
        5.153261424890644,
        5.153283834392641,
        5.1533062438946375,
        5.153328653396635,
        5.153351062898631,
        5.153373472400628,
        5.153395881902624,
        5.153418291404622,
        5.153440700906618,
        5.153463110408615,
        5.153597567420595,
        5.153619976922592,
        5.153642386424589,
        5.153664795926585,
        5.153687205428582,
        5.1537096149305786,
        5.153732024432576,
        5.153754433934572,
        5.153776843436569,
        5.1537992529385654,
        5.153821662440563,
        5.153844071942559,
        5.153866481444556,
        5.153888890946552,
        5.1539113004485495,
        5.153933709950546,
        5.153956119452543,
        5.15397852895454,
        5.154000938456536,
        5.154023347958534,
        5.15404575746053,
        5.154068166962527,
        5.154090576464523,
        5.1541129859665205,
        5.154135395468517,
        5.154157804970514,
        5.15418021447251,
        5.154202147176592,
        5.154224556678589,
        5.154246966180586,
        5.154269375682582,
        5.154291785184579,
        5.154314194686576,
        5.154336604188573,
        5.154359013690569,
        5.154381423192566,
        5.1544038326945625,
        5.154425765398645,
        5.154448174900642,
        5.154470584402638,
        5.154492993904635,
        5.154515403406632,
        5.154537812908629,
        5.154560222410625,
        5.154582631912622,
        5.154604564616704,
        5.154626974118701,
        5.154649383620697,
        5.154671793122694,
        5.1546942026246905,
        5.154716612126688,
        5.15473854483077,
        5.154760954332766,
        5.154783363834763,
        5.15480577333676,
        5.154828182838757,
        5.154850592340753,
        5.154872525044835,
        5.154894934546832,
        5.154917344048829,
        5.154939753550825,
        5.154962163052822,
        5.1549840957569035,
        5.155006505258901,
        5.155028914760897,
        5.155051324262894,
        5.15507373376489,
        5.155095666468973,
        5.15511807597097,
        5.155140485472966,
        5.155162894974963,
        5.155184827679045,
        5.155207237181042,
        5.155229646683038,
        5.155252056185035,
        5.1552744656870315,
        5.155296398391114,
        5.155318807893111,
        5.155341217395107,
        5.155363150099189,
        5.155385559601186,
        5.155407969103183,
        5.155430378605179,
        5.155452311309261,
        5.155474720811258,
        5.155497130313255,
        5.155519539815251,
        5.155541472519333,
        5.1555638820213305,
        5.155586291523327,
        5.155608224227409,
        5.155630633729405,
        5.1556530432314025,
        5.155674975935484,
        5.155697385437481,
        5.155719794939477,
        5.1557417276435595,
        5.155764137145557,
        5.155786546647553,
        5.15580895614955,
        5.1558308888536315,
        5.155853298355629,
        5.15587523105971,
        5.155897640561707,
        5.1559200500637035,
        5.155941982767786,
        5.155964392269783,
        5.155986801771779,
        5.156008734475861,
        5.156031143977858,
        5.156053553479855,
        5.156075486183936,
        5.156097895685933,
        5.156119828390016,
        5.156142237892012,
        5.156164647394009,
        5.15618658009809,
        5.1562089896000876,
        5.156231399102084,
        5.156253331806166,
        5.156275741308162,
        5.156297674012245,
        5.156320083514242,
        5.156342016218323,
        5.15636442572032,
        5.1563868352223166,
        5.156408767926399,
        5.156431177428395,
        5.156453110132477,
        5.156475519634474,
        5.156497452338556,
        5.156519861840553,
        5.156542271342549,
        5.1565642040466315,
        5.156586613548628,
        5.15660854625271,
        5.156630955754706,
        5.1566528884587886,
        5.156675297960786,
        5.156697230664867,
        5.156719640166864,
        5.156741572870946,
        5.156763982372943,
        5.156785915077025,
        5.156808324579021,
        5.1568302572831035,
        5.1568526667851,
        5.156874599489182,
        5.156897008991178,
        5.1569189416952605,
        5.156941351197257,
        5.156963283901339,
        5.156985693403336,
        5.157007626107418,
        5.157030035609415,
        5.157051968313496,
        5.157074377815493,
        5.1570963105195755,
        5.157118720021572,
        5.157140652725654,
        5.15716306222765,
        5.1571849949317325,
        5.157206927635814,
        5.157229337137811,
        5.157251269841893,
        5.15727367934389,
        5.157295612047972,
        5.157318021549968,
        5.15733995425405,
        5.157361886958133,
        5.157384296460129,
        5.157406229164211,
        5.157428638666207,
        5.15745057137029,
        5.157472980872286,
        5.157494913576368,
        5.15751684628045,
        5.157539255782447,
        5.157561188486529,
        5.15758312119061,
        5.157605530692607,
        5.15762746339669,
        5.157649872898686,
        5.157671805602768,
        5.1576937383068495,
        5.157716147808847,
        5.157738080512928,
        5.15776001321701,
        5.157782422719007,
        5.157804355423089,
        5.157826288127171,
        5.157848697629167,
        5.1578706303332496,
        5.157893039835247,
        5.157914972539328,
        5.15793690524341,
        5.157958837947492,
        5.157981247449489,
        5.158003180153571,
        5.158025112857652,
        5.15804752235965,
        5.158069455063731,
        5.158091387767813,
        5.15811379726981,
        5.158135729973892,
        5.158157662677974,
        5.15818007217997,
        5.1582020048840524,
        5.158223937588135,
        5.158245870292216,
        5.158268279794213,
        5.158290212498295,
        5.158312145202377,
        5.158334077906459,
        5.158356487408455,
        5.1583784201125376,
        5.158400352816619,
        5.158422762318616,
        5.158444695022698,
        5.15846662772678,
        5.158488560430862,
        5.158510493134943,
        5.15853290263694,
        5.158554835341023,
        5.158576768045104,
        5.158598700749186,
        5.1586211102511825,
        5.158643042955265,
        5.158664975659347,
        5.158686908363428,
        5.158708841067511,
        5.158731250569507,
        5.158753183273589,
        5.158775115977671,
        5.158797048681753,
        5.158818981385835,
        5.158841390887832,
        5.1588633235919135,
        5.158885256295996,
        5.158907189000077,
        5.158929121704159,
        5.1589510544082415,
        5.158973463910238,
        5.15899539661432,
        5.159017329318401,
        5.159039262022484,
        5.159061194726566,
        5.159083127430647,
        5.159105536932644,
        5.159127469636726,
        5.159149402340808,
        5.15917133504489,
        5.159193267748972,
        5.159215200453054,
        5.159237133157136,
        5.159259065861217,
        5.159281475363215,
        5.159303408067296,
        5.159325340771378,
        5.15934727347546,
        5.159369206179542,
        5.159391138883624,
        5.159413071587706,
        5.159435004291788,
        5.15945693699587,
        5.159478869699952,
        5.159500802404033,
        5.159523211906031,
        5.159545144610112,
        5.159567077314194,
        5.159589010018276,
        5.159610942722358,
        5.15963287542644,
        5.159654808130521,
        5.159720606242767,
        5.159742538946849,
        5.159764471650932,
        5.159786404355013,
        5.159808337059095,
        5.1598302697631775,
        5.159852202467259,
        5.159874135171341,
        5.159896067875422,
        5.159918000579505,
        5.159939933283587,
        5.159961865987668,
        5.1599837986917505,
        5.160005731395833,
        5.160027664099914,
        5.160049596803996,
        5.160071529508078,
        5.16009346221216,
        5.160115394916242,
        5.1601373276203235,
        5.160159260324406,
        5.160181193028488,
        5.160203125732569,
        5.160225058436652,
        5.160246991140734,
        5.160268923844815,
        5.160290856548897,
        5.160312789252979,
        5.160334721957061,
        5.160356654661143,
        5.160378587365225,
        5.160400520069307,
        5.160422452773389,
        5.1604439086795555,
        5.160465841383638,
        5.16048777408772,
        5.160509706791801,
        5.160531639495884,
        5.160553572199966,
        5.160575504904047,
        5.160597437608129,
        5.160619370312211,
        5.160641303016293,
        5.16066275892246,
        5.160684691626542,
        5.160706624330624,
        5.160728557034706,
        5.1607504897387875,
        5.16077242244287,
        5.160794355146952,
        5.160816287851033,
        5.160837743757201,
        5.160859676461283,
        5.160881609165364,
        5.160903541869446,
        5.160925474573528,
        5.16094740727761,
        5.160969339981692,
        5.16099079588786,
        5.161012728591941,
        5.161034661296023,
        5.1610565940001045,
        5.161078526704187,
        5.161100459408269,
        5.161121915314435,
        5.161143848018518,
        5.1611657807226,
        5.161187713426681,
        5.1612096461307635,
        5.161231102036931,
        5.161253034741012,
        5.161274967445094,
        5.161296900149177,
        5.161318832853258,
        5.161340288759425,
        5.1613622214635075,
        5.161384154167589,
        5.161406086871671,
        5.161427542777838,
        5.16144947548192,
        5.161471408186002,
        5.161493340890084,
        5.161514796796251,
        5.161536729500333,
        5.161558662204415,
        5.1615805949084965,
        5.161602050814664,
        5.161623983518746,
        5.161645916222827,
        5.16166784892691,
        5.161689304833077,
        5.161711237537158,
        5.161733170241241,
        5.161754626147408,
        5.161776558851489,
        5.1617984915555715,
        5.161820424259653,
        5.16184188016582,
        5.161863812869902,
        5.161885745573985,
        5.161907201480151,
        5.161929134184233,
        5.1619510668883155,
        5.161972522794482,
        5.161994455498564,
        5.162016388202646,
        5.162037844108813,
        5.162059776812895,
        5.162081709516977,
        5.162103165423144,
        5.162125098127226,
        5.162147030831308,
        5.162168486737475,
        5.162190419441557,
        5.162212352145639,
        5.1622338080518055,
        5.162255740755888,
        5.162277196662055,
        5.162299129366136,
        5.162321062070219,
        5.162342517976386,
        5.162364450680467,
        5.16238638338455,
        5.162407839290717,
        5.162429771994798,
        5.1624512279009656,
        5.162473160605048,
        5.162495093309129,
        5.1625165492152965,
        5.162538481919379,
        5.162559937825546,
        5.162581870529627,
        5.162603326435795,
        5.162625259139877,
        5.162647191843958,
        5.162668647750126,
        5.162690580454208,
        5.162712036360374,
        5.1627339690644565,
        5.162755424970624,
        5.162777357674705,
        5.1627988135808724,
        5.162820746284955,
        5.162842202191121,
        5.162864134895203,
        5.162886067599286,
        5.162907523505452,
        5.162929456209534,
        5.162950912115702,
        5.162972844819783,
        5.16299430072595,
        5.1630162334300325,
        5.1630376893362,
        5.163059622040281,
        5.163081077946448,
        5.163103010650531,
        5.163124466556697,
        5.163146399260779,
        5.163167855166947,
        5.163189787871028,
        5.163211243777195,
        5.163232699683363,
        5.163254632387445,
        5.163276088293611,
        5.1632980209976935,
        5.163319476903861,
        5.163341409607942,
        5.1633628655141095,
        5.163384798218192,
        5.163406254124358,
        5.16342818682844,
        5.163449642734608,
        5.163471098640775,
        5.163493031344856,
        5.163514487251024,
        5.163536419955106,
        5.163557875861272,
        5.163579808565355,
        5.163601264471522,
        5.163622720377688,
        5.163644653081771,
        5.163666108987938,
        5.163688041692019,
        5.1637094975981865,
        5.163730953504354,
        5.163752886208436,
        5.1637743421146025,
        5.16379579802077,
        5.163817730724852,
        5.1638391866310185,
        5.163861119335101,
        5.163882575241268,
        5.163904031147435,
        5.163925963851517,
        5.163947419757684,
        5.163968875663851,
        5.163990808367933,
        5.1640122642741,
        5.164033720180267,
        5.1640556528843495,
        5.164077108790516,
        5.164098564696683,
        5.1641204974007655,
        5.164141953306932,
        5.164163409213099,
        5.1641853419171815,
        5.164206797823349,
        5.164228253729515,
        5.1642501864335975,
        5.164271642339765,
        5.164293098245931,
        5.1643145541520985,
        5.164336486856181,
        5.164357942762348,
        5.1643793986685145,
        5.164401331372597,
        5.164422787278764,
        5.1644442431849304,
        5.164465699091098,
        5.16448763179518,
        5.164509087701347,
        5.164530543607514,
        5.164551999513681,
        5.164573932217763,
        5.16459538812393,
        5.164616844030097,
        5.164638299936264,
        5.164660232640347,
        5.164681688546513,
        5.16470314445268,
        5.164724600358848,
        5.164746056265015,
        5.164767988969096,
        5.164789444875264,
        5.164810900781431,
        5.164832356687597,
        5.16485428939168,
        5.164875745297847,
        5.164897201204014,
        5.164918657110181,
        5.164940113016348,
        5.164961568922515,
        5.164983501626597,
        5.165004957532764,
        5.165026413438931,
        5.1650478693450985,
        5.165069325251265,
        5.165091257955347,
        5.1651127138615145,
        5.165134169767682,
        5.165155625673848,
        5.1651770815800155,
        5.165198537486183,
        5.16521999339235,
        5.1652419260964315,
        5.165263382002599,
        5.165284837908766,
        5.165306293814933,
        5.1653277497211,
        5.165349205627267,
        5.1653706615334345,
        5.165392117439601,
        5.165414050143683,
        5.1654355060498505,
        5.165456961956018,
        5.165478417862184,
        5.1654998737683515,
        5.165521329674519,
        5.165542785580686,
        5.165564241486853,
        5.16558569739302,
        5.165607153299187,
        5.1656286092053545,
        5.165650065111521,
        5.165671997815603,
        5.1656934537217705,
        5.165714909627937,
        5.165736365534104,
        5.1657578214402715,
        5.165779277346439,
        5.165800733252605,
        5.165822189158773,
        5.16584364506494,
        5.165865100971107,
        5.165886556877274,
        5.165908012783441,
        5.165929468689608,
        5.1659509245957755,
        5.165972380501942,
        5.165993836408109,
        5.166015292314277,
        5.166036748220444,
        5.16605820412661,
        5.166079660032778,
        5.166101115938945,
        5.166122571845112,
        5.166144027751279,
        5.166165483657446,
        5.166186939563613,
        5.166208395469781,
        5.166229851375947,
        5.166251307282114,
        5.166272763188282,
        5.166294219094449,
        5.166315675000615,
        5.166337130906783,
        5.16635858681295,
        5.166380042719117,
        5.166401498625284,
        5.166422954531451,
        5.166444410437618,
        5.166465866343786,
        5.166486845452038,
        5.1665083013582045,
        5.166529757264372,
        5.166551213170539,
        5.166572669076706,
        5.166594124982873,
        5.16661558088904,
        5.1666370367952075,
        5.166658492701375,
        5.166679948607541,
        5.1667014045137085,
        5.166722383621961,
        5.166743839528128,
        5.166765295434295,
        5.166786751340462,
        5.166808207246629,
        5.166829663152797,
        5.166851119058963,
        5.16687257496513,
        5.166893554073383,
        5.16691500997955,
        5.166936465885717,
        5.166957921791884,
        5.166979377698051,
        5.167000833604218,
        5.167022289510386,
        5.167043268618637,
        5.1670647245248045,
        5.167086180430972,
        5.167107636337139,
        5.1671290922433055,
        5.167150071351558,
        5.167171527257725,
        5.1671929831638925,
        5.16721443907006,
        5.167235894976226,
        5.167257350882394,
        5.167278329990646,
        5.167299785896813,
        5.16732124180298,
        5.167342697709147,
        5.167363676817399,
        5.167385132723567,
        5.167406588629733,
        5.1674280445359,
        5.167449500442068,
        5.16747047955032,
        5.167491935456487,
        5.167513391362654,
        5.167534847268821,
        5.167555826377074,
        5.167577282283241,
        5.167598738189407,
        5.167620194095575,
        5.167641173203827,
        5.167662629109994,
        5.167684085016162,
        5.167705540922328,
        5.16772652003058,
        5.167747975936748,
        5.167769431842915,
        5.167790410951167,
        5.167811866857334,
        5.167833322763501,
        5.1678547786696685,
        5.167875757777921,
        5.167897213684087,
        5.167918669590255,
        5.167939648698507,
        5.167961104604674,
        5.167982560510842,
        5.168003539619093,
        5.16802499552526,
        5.168046451431428,
        5.16806743053968,
        5.168088886445847,
        5.168110342352014,
        5.168131321460266,
        5.1681527773664335,
        5.168174233272601,
        5.168195212380852,
        5.16821666828702,
        5.168238124193187,
        5.168259103301439,
        5.168280559207607,
        5.168301538315858,
        5.1683229942220255,
        5.168344450128193,
        5.168365429236445,
        5.1683868851426125,
        5.168407864250864,
        5.168429320157031,
        5.168450776063199,
        5.168471755171451,
        5.168493211077618,
        5.16851419018587,
        5.168535646092037,
        5.168557101998204,
        5.168578081106457,
        5.168599537012624,
        5.168620516120876,
        5.168641972027043,
        5.168662951135295,
        5.168684407041463,
        5.16870586294763,
        5.168726842055881,
        5.168748297962049,
        5.168769277070301,
        5.168790732976468,
        5.168811712084721,
        5.168833167990887,
        5.16885414709914,
        5.168875603005307,
        5.168896582113559,
        5.168918038019727,
        5.168939493925893,
        5.168960473034145,
        5.168981928940313,
        5.169002908048565,
        5.169024363954732,
        5.169045343062984,
        5.169066798969151,
        5.169087778077404,
        5.169109233983571,
        5.169130213091823,
        5.169151192200076,
        5.169172648106242,
        5.1691936272144945,
        5.169215083120662,
        5.169236062228914,
        5.1692575181350815,
        5.169278497243333,
        5.1692999531495,
        5.169320932257753,
        5.16934238816392,
        5.169363367272172,
        5.169384823178339,
        5.169405802286591,
        5.169426781394844,
        5.169448237301011,
        5.169469216409263,
        5.16949067231543,
        5.169511651423682,
        5.169533107329849,
        5.169554086438102,
        5.169575065546354,
        5.1695965214525215,
        5.169617500560773,
        5.16963895646694,
        5.169659935575193,
        5.169680914683445,
        5.169702370589612,
        5.169723349697865,
        5.169744805604031,
        5.1697657847122835,
        5.169786763820536,
        5.169808219726703,
        5.169829198834956,
        5.169850177943208,
        5.169871633849374,
        5.169892612957627,
        5.169913592065879,
        5.1699350479720465,
        5.169956027080299,
        5.16997700618855,
        5.169998462094718,
        5.17001944120297,
        5.1700404203112225,
        5.17006187621739,
        5.170082855325642,
        5.170103834433894,
        5.170125290340061,
        5.170146269448313,
        5.170167248556566,
        5.170188704462733,
        5.170209683570985,
        5.170230662679237,
        5.170252118585404,
        5.170273097693657,
        5.170294076801909,
        5.170315055910161,
        5.170336511816328,
        5.17035749092458,
        5.170378470032833,
        5.170399925939,
        5.170420905047252,
        5.170441884155505,
        5.170462863263757,
        5.1704843191699235,
        5.170505298278176,
        5.170526277386428,
        5.170547256494681,
        5.170568712400848,
        5.1705896915091,
        5.170610670617352,
        5.170631649725604,
        5.1706531056317715,
        5.170674084740024,
        5.170695063848276,
        5.170716042956529,
        5.17073702206478,
        5.1707584779709475,
        5.1707794570792,
        5.170800436187452,
        5.170821415295705,
        5.170842394403957,
        5.170863850310123,
        5.170884829418376,
        5.170905808526628,
        5.170926787634881,
        5.170947766743133,
        5.170968745851385,
        5.170990201757553,
        5.171011180865804,
        5.1710321599740565,
        5.171053139082309,
        5.171074118190561,
        5.171095097298814,
        5.171116553204981,
        5.1711375323132325,
        5.171158511421485,
        5.171179490529737,
        5.17120046963799,
        5.171221448746242,
        5.171242427854494,
        5.171263883760662,
        5.171284862868913,
        5.171305841977166,
        5.171326821085418,
        5.17134780019367,
        5.171368779301923,
        5.171389758410175,
        5.1714107375184275,
        5.171431716626679,
        5.171452695734931,
        5.171474151641099,
        5.171495130749351,
        5.1715161098576035,
        5.171537088965856,
        5.1716210053988645,
        5.171641984507117,
        5.171662963615369,
        5.1717259009401255,
        5.172485440018441,
        5.174295841701029,
        5.17431682080928,
        5.174337323119618,
        5.17435830222787,
        5.1743788045382075,
        5.17439978364646,
        5.174420285956797,
        5.17444126506505,
        5.174462244173302,
        5.17448274648364,
        5.174503725591892,
        5.174524227902229,
        5.174545207010482,
        5.174565709320819,
        5.174586688429071,
        5.174607190739408,
        5.174628169847661,
        5.174649148955913,
        5.1746696512662504,
        5.174690630374503,
        5.17471113268484,
        5.174732111793093,
        5.17475261410343,
        5.1747735932116825,
        5.17479409552202,
        5.174815074630272,
        5.17483557694061,
        5.174856556048861,
        5.174877058359199,
        5.174898037467451,
        5.174918539777789,
        5.174939518886041,
        5.174960021196378,
        5.174981000304631,
        5.175001502614968,
        5.175022481723221,
        5.175042984033558,
        5.1750639631418105,
        5.175084465452148,
        5.175104967762485,
        5.175125946870737,
        5.175146449181074,
        5.175332877165771,
        5.175353856274024,
        5.175374358584361,
        5.1753948608946985,
        5.175415840002951,
        5.175436342313287,
        5.17545732142154,
        5.175477823731877,
        5.175498326042215,
        5.175519305150467,
        5.1755398074608046,
        5.175560786569057,
        5.175581288879394,
        5.175601791189732,
        5.175622770297984,
        5.175643272608322,
        5.175663774918659,
        5.1756847540269115,
        5.175705256337249,
        5.175725758647586,
        5.175746737755839,
        5.175767240066176,
        5.175787742376514,
        5.175808721484765,
        5.175829223795103,
        5.17584972610544,
        5.1758707052136925,
        5.17589120752403,
        5.175911709834367,
        5.17593268894262,
        5.175953191252957,
        5.175973693563295,
        5.175994672671547,
        5.176015174981885,
        5.176035677292222,
        5.1760561796025595,
        5.176077158710812,
        5.176097661021149,
        5.176118163331487,
        5.176139142439739,
        5.176159644750076,
        5.176180147060413,
        5.176200649370751,
        5.176221628479003,
        5.1762421307893405,
        5.176262633099678,
        5.176283135410015,
        5.176304114518268,
        5.176324616828605,
        5.176345119138943,
        5.17636562144928,
        5.1763866005575325,
        5.17640710286787,
        5.176427605178207,
        5.176448107488545,
        5.176469086596797,
        5.176489588907135,
        5.176510091217472,
        5.17653059352781,
        5.176551095838147,
        5.1765720749463995,
        5.176592577256737,
        5.176613079567074,
        5.176633581877412,
        5.176654084187748,
        5.176674586498086,
        5.176695565606338,
        5.176716067916676,
        5.176736570227013,
        5.176757072537351,
        5.176777574847688,
        5.1767980771580255,
        5.176819056266278,
        5.176839558576615,
        5.176860060886953,
        5.17688056319729,
        5.176901065507628,
        5.176921567817965,
        5.176942546926218,
        5.176963049236555,
        5.1769835515468925,
        5.17700405385723,
        5.177024556167567,
        5.177045058477905,
        5.177065560788242,
        5.17708606309858,
        5.177106565408917,
        5.17712754451717,
        5.177148046827507,
        5.1771685491378445,
        5.177189051448182,
        5.177209553758519,
        5.177230056068857,
        5.177250558379194,
        5.177271060689532,
        5.177291562999868,
        5.177312065310206,
        5.177332567620543,
        5.177353069930881,
        5.177373572241218,
        5.177394551349471,
        5.177415053659808,
        5.1774355559701455,
        5.177456058280483,
        5.17747656059082,
        5.177497062901158,
        5.177517565211495,
        5.177538067521833,
        5.17755856983217,
        5.177579072142508,
        5.177599574452845,
        5.177620076763183,
        5.17764057907352,
        5.1776610813838575,
        5.177681583694195,
        5.177702086004532,
        5.17772258831487,
        5.177743090625207,
        5.177763592935545,
        5.177784095245882,
        5.17780459755622,
        5.177825099866557,
        5.177845602176895,
        5.177866104487232,
        5.1778866067975695,
        5.177907109107907,
        5.177927611418244,
        5.177948113728582,
        5.177968616038919,
        5.177988641551342,
        5.178009143861679,
        5.178029646172017,
        5.178050148482354,
        5.178070650792692,
        5.178091153103029,
        5.178111655413367,
        5.178132157723704,
        5.1781526600340415,
        5.178173162344379,
        5.178193664654716,
        5.178214166965054,
        5.178234669275391,
        5.178254694787814,
        5.178275197098151,
        5.178295699408489,
        5.178316201718826,
        5.178336704029164,
        5.178357206339501,
        5.178377708649839,
        5.178398210960176,
        5.1784187132705135,
        5.178438738782936,
        5.1784592410932735,
        5.178479743403611,
        5.178500245713948,
        5.178520748024286,
        5.178541250334623,
        5.178561752644961,
        5.178581778157383,
        5.178602280467721,
        5.178622782778058,
        5.178643285088396,
        5.178663787398733,
        5.178684289709071,
        5.178704315221493,
        5.178724817531831,
        5.178745319842168,
        5.1787658221525055,
        5.178786324462843,
        5.1788063499752655,
        5.178826852285603,
        5.17884735459594,
        5.178867856906278,
        5.178888359216615,
        5.178908384729038,
        5.178928887039375,
        5.178949389349713,
        5.17896989166005,
        5.178989917172473,
        5.17901041948281,
        5.179030921793148,
        5.179051424103485,
        5.179071449615908,
        5.179091951926245,
        5.1791124542365825,
        5.17913295654692,
        5.1791529820593425,
        5.17917348436968,
        5.179193986680017,
        5.179214488990355,
        5.179234514502777,
        5.179255016813115,
        5.179275519123452,
        5.17929602143379,
        5.179316046946212,
        5.17933654925655,
        5.179357051566887,
        5.17937707707931,
        5.179397579389647,
        5.179418081699985,
        5.179438107212407,
        5.179458609522745,
        5.179479111833082,
        5.179499137345505,
        5.179519639655842,
        5.1795401419661795,
        5.179560167478602,
        5.1795806697889395,
        5.179601172099277,
        5.1796211976116995,
        5.179641699922037,
        5.179662202232374,
        5.179682227744797,
        5.179702730055134,
        5.179723232365472,
        5.179743257877895,
        5.179763760188233,
        5.17978426249857,
        5.179804288010993,
        5.17982479032133,
        5.179844815833753,
        5.17986531814409,
        5.179885820454428,
        5.17990584596685,
        5.179926348277188,
        5.17994637378961,
        5.1799668760999475,
        5.179987378410285,
        5.1800074039227075,
        5.180027906233045,
        5.1800479317454675,
        5.180068434055805,
        5.180088936366142,
        5.180108961878565,
        5.180129464188902,
        5.180149489701325,
        5.180169992011662,
        5.180190017524085,
        5.180210519834422,
        5.180230545346845,
        5.180251047657182,
        5.18027154996752,
        5.180291575479942,
        5.18031207779028,
        5.180332103302702,
        5.18035260561304,
        5.180372631125463,
        5.180393133435801,
        5.180413158948223,
        5.180433661258561,
        5.180453686770983,
        5.180474189081321,
        5.180494214593743,
        5.180514716904081,
        5.180534742416503,
        5.180555244726841,
        5.180575270239263,
        5.180595772549601,
        5.180615798062023,
        5.180636300372361,
        5.180656325884783,
        5.1806768281951205,
        5.180696853707543,
        5.180716879219966,
        5.180737381530303,
        5.180757407042726,
        5.180777909353063,
        5.180797934865486,
        5.180818437175823,
        5.180838462688246,
        5.180858964998584,
        5.180878990511006,
        5.180899016023429,
        5.180919518333766,
        5.180939543846189,
        5.180960046156526,
        5.180980071668949,
        5.1810000971813714,
        5.181020599491709,
        5.181040625004131,
        5.181061127314469,
        5.181081152826891,
        5.181101178339314,
        5.181121680649651,
        5.181141706162074,
        5.181162208472411,
        5.181182233984834,
        5.181202259497256,
        5.181222761807594,
        5.181242787320017,
        5.18126281283244,
        5.181283315142777,
        5.1813033406552,
        5.181323366167622,
        5.18134386847796,
        5.181363893990382,
        5.181383919502805,
        5.181404421813142,
        5.181424447325565,
        5.181444472837987,
        5.181464975148325,
        5.181485000660747,
        5.18150502617317,
        5.181525528483507,
        5.18154555399593,
        5.181565579508353,
        5.181586081818691,
        5.181606107331113,
        5.181626132843536,
        5.181646635153873,
        5.181666660666296,
        5.181686686178718,
        5.181706711691141,
        5.181727214001478,
        5.181747239513901,
        5.181767265026323,
        5.181787290538746,
        5.181807792849083,
        5.181827818361506,
        5.181847843873929,
        5.181868346184266,
        5.181888371696689,
        5.181908397209112,
        5.181928422721534,
        5.181948448233957,
        5.181968950544294,
        5.181988976056717,
        5.182009001569139,
        5.182029027081562,
        5.182049529391899,
        5.182069554904322,
        5.182089580416744,
        5.182109605929167,
        5.18212963144159,
        5.182150133751928,
        5.18217015926435,
        5.182190184776773,
        5.182210210289195,
        5.182230235801618,
        5.182250738111955,
        5.182270763624378,
        5.1822907891368,
        5.182310814649223,
        5.1823308401616455,
        5.182350865674068,
        5.1823713679844055,
        5.182391393496829,
        5.182411419009251,
        5.182431444521674,
        5.1824514700340965,
        5.182471495546519,
        5.1824915210589415,
        5.182512023369279,
        5.1825320488817015,
        5.182552074394124,
        5.1825720999065465,
        5.182592125418969,
        5.182612150931392,
        5.182632176443815,
        5.1826522019562375,
        5.18267222746866,
        5.1826927297789975,
        5.18271275529142,
        5.182732780803843,
        5.182752806316265,
        5.182772831828688,
        5.18279285734111,
        5.182812882853533,
        5.182832908365955,
        5.182852933878379,
        5.182872959390801,
        5.182892984903224,
        5.182913010415646,
        5.182933035928069,
        5.182953538238406,
        5.182973563750829,
        5.182993589263251,
        5.183013614775674,
        5.183033640288096,
        5.183053665800519,
        5.183073691312942,
        5.183093716825365,
        5.183113742337787,
        5.18313376785021,
        5.183153793362632,
        5.183173818875055,
        5.183193844387477,
        5.1832138698999,
        5.1832338954123225,
        5.183253920924745,
        5.183273946437168,
        5.183293971949591,
        5.1833139974620135,
        5.183334022974436,
        5.1833540484868585,
        5.183374073999281,
        5.183394099511704,
        5.183414125024126,
        5.183434150536549,
        5.183454176048971,
        5.183474201561395,
        5.183494227073817,
        5.183513775788325,
        5.183533801300747,
        5.18355382681317,
        5.183573852325592,
        5.183593877838015,
        5.183613903350437,
        5.18363392886286,
        5.183653954375283,
        5.183673979887706,
        5.183694005400128,
        5.183714030912551,
        5.183734056424973,
        5.183754081937396,
        5.1837736306519036,
        5.183793656164326,
        5.183813681676749,
        5.183833707189172,
        5.1838537327015946,
        5.183873758214017,
        5.18389378372644,
        5.183913809238862,
        5.183933834751285,
        5.183953383465792,
        5.183973408978215,
        5.183993434490637,
        5.184013460003061,
        5.184033485515483,
        5.184053511027906,
        5.184073536540328,
        5.184093085254836,
        5.1841131107672584,
        5.184133136279681,
        5.1841531617921035,
        5.184173187304526,
        5.1841932128169494,
        5.184212761531457,
        5.18423278704388,
        5.184252812556302,
        5.184272838068725,
        5.184292863581147,
        5.184312412295655,
        5.184332437808078,
        5.184352463320501,
        5.184372488832923,
        5.184392514345346,
        5.184412063059853,
        5.184432088572276,
        5.184452114084698,
        5.184472139597121,
        5.184491688311629,
        5.184511713824052,
        5.1845317393364745,
        5.184551764848897,
        5.1845717903613195,
        5.184591339075827,
        5.18461136458825,
        5.184631390100672,
        5.184650938815181,
        5.184670964327603,
        5.184690989840026,
        5.184711015352448,
        5.184730564066956,
        5.184750589579378,
        5.184770615091801,
        5.1847906406042235,
        5.184810189318732,
        5.1848302148311545,
        5.184850240343577,
        5.184869789058085,
        5.184889814570507,
        5.18490984008293,
        5.184929388797437,
        5.184949414309861,
        5.184969439822283,
        5.184988988536791,
        5.185009014049213,
        5.185029039561636,
        5.1850485882761435,
        5.185068613788566,
        5.1850886393009885,
        5.185108188015497,
        5.1851282135279195,
        5.185148239040342,
        5.18516778775485,
        5.185187813267272,
        5.185207838779695,
        5.185227387494202,
        5.185247413006626,
        5.185267438519048,
        5.185286987233556,
        5.185307012745978,
        5.185326561460486,
        5.1853465869729085,
        5.185366612485331,
        5.1853861611998395,
        5.185406186712262,
        5.18542573542677,
        5.185445760939192,
        5.185465786451615,
        5.185485335166122,
        5.185505360678545,
        5.185524909393053,
        5.185544934905476,
        5.185564960417898,
        5.185584509132406,
        5.1856045346448285,
        5.185624083359336,
        5.1856441088717595,
        5.185663657586267,
        5.18568368309869,
        5.185703231813197,
        5.18572325732562,
        5.185742806040127,
        5.18576283155255,
        5.185782857064973,
        5.185802405779481,
        5.1858224312919035,
        5.185841980006411,
        5.185862005518834,
        5.185881554233341,
        5.185901579745765,
        5.185921128460272,
        5.185941153972695,
        5.185960702687202,
        5.185980728199625,
        5.1860002769141325,
        5.186020302426555,
        5.1860398511410635,
        5.186059876653486,
        5.186079425367994,
        5.186098974082501,
        5.186118999594924,
        5.186138548309432,
        5.186158573821855,
        5.186178122536362,
        5.186198148048785,
        5.1862176967632925,
        5.186237722275715,
        5.186257270990223,
        5.186277296502646,
        5.186296845217154,
        5.186316393931661,
        5.186336419444084,
        5.186355968158591,
        5.186375993671014,
        5.186395542385522,
        5.186415567897945,
        5.1864351166124525,
        5.18645466532696,
        5.186474690839383,
        5.18649423955389,
        5.186514265066314,
        5.186533813780821,
        5.186553362495329,
        5.186573388007751,
        5.186592936722259,
        5.1866124854367675,
        5.18663251094919,
        5.1867903310589965,
        5.186809879773504,
        5.186829428488012,
        5.186849454000435,
        5.186869002714943,
        5.18688855142945,
        5.186908576941873,
        5.18692812565638,
        5.186947674370889,
        5.186967699883311,
        5.186987248597819,
        5.187006797312327,
        5.187026346026834,
        5.187046371539257,
        5.187065920253765,
        5.187085468968273,
        5.187105494480695,
        5.187125043195203,
        5.1871445919097106,
        5.187164140624219,
        5.187184166136642,
        5.187203714851149,
        5.187223263565657,
        5.187242812280164,
        5.187262837792587,
        5.187282386507095,
        5.187301935221603,
        5.187321483936111,
        5.187341509448533,
        5.187361058163041,
        5.187380606877549,
        5.187400155592057,
        5.187420181104479,
        5.187439729818987,
        5.1874592785334945,
        5.187478827248003,
        5.187498375962511,
        5.187518401474933,
        5.187537950189441,
        5.187557498903948,
        5.187577047618457,
        5.187596596332964,
        5.187616621845387,
        5.187636170559895,
        5.187655719274402,
        5.18767526798891,
        5.187694816703418,
        5.187714365417926,
        5.187734390930348,
        5.187753939644856,
        5.187773488359364,
        5.187793037073872,
        5.18781258578838,
        5.187832134502887,
        5.18785216001531,
        5.187871708729817,
        5.187891257444326,
        5.1879108061588335,
        5.187930354873341,
        5.187949903587849,
        5.187969452302356,
        5.187989001016865,
        5.188009026529287,
        5.188028575243795,
        5.1880481239583025,
        5.18806767267281,
        5.188087221387319,
        5.188106770101826,
        5.188126318816334,
        5.188145867530841,
        5.18816541624535,
        5.1881849649598575,
        5.188204513674365,
        5.188224539186788,
        5.188244087901295,
        5.188263636615803,
        5.188283185330311,
        5.188302734044819,
        5.1883222827593265,
        5.188341831473834,
        5.188361380188343,
        5.18838092890285,
        5.188400477617358,
        5.188420026331865,
        5.188439575046373,
        5.1884591237608815,
        5.188478672475389,
        5.188498221189897,
        5.188517769904404,
        5.188537318618913,
        5.18855686733342,
        5.188576416047928,
        5.188595964762436,
        5.188615513476943,
        5.188635062191452,
        5.188654610905959,
        5.188674159620467,
        5.1886937083349745,
        5.188713257049482,
        5.1887328057639905,
        5.188752354478498,
        5.188771903193006,
        5.188791451907513,
        5.188811000622022,
        5.188830549336529,
        5.188850098051037,
        5.188869646765545,
        5.188889195480052,
        5.188908744194561,
        5.188928292909068,
        5.188947841623576,
        5.188966913540169,
        5.188986462254677,
        5.1960685800825175,
        5.203970790323857,
        5.203993199825853,
        5.204107154527496,
        5.204243518731136,
        5.204334587132868,
        5.204357473432779,
        5.204380359732691,
        5.2044027692346875,
        5.204448541834511,
        5.204470951336507,
        5.204493837636419,
        5.20451672393633,
        5.2045391334383275,
        5.204562019738239,
        5.20458490603815,
        5.204607315540147,
        5.204630201840058,
        5.20465308813997,
        5.204698383941879,
        5.20472127024179,
        5.204743679743787,
        5.204766566043698,
        5.20478945234361,
        5.204811861845607,
        5.204834748145518,
        5.20485763444543,
        5.204902930247338,
        5.204925339749335,
        5.204948226049247,
        5.204971112349158,
        5.204993521851154,
        5.205016408151066,
        5.205038817653063,
        5.205061703952975,
        5.205084590252886,
        5.205106999754883,
        5.205129886054794,
        5.2051522955567915,
        5.205175181856703,
        5.205198068156614,
        5.205220477658611,
        5.205243363958522,
        5.205333955562339,
        5.205583320871792,
        5.205605730373789,
        5.205651026175698,
        5.205673912475609,
        5.2057416177795135,
        5.205764504079426,
        5.205786913581422,
        5.205809799881334,
        5.20583220938333,
        5.205855095683242,
        5.205877505185239,
        5.205900391485151,
        5.205922800987147,
        5.205945687287058,
        5.205968096789055,
        5.205990506291052,
        5.206013392590964,
        5.20603580209296,
        5.206058688392872,
        5.206081097894868,
        5.2061039841947805,
        5.206126393696777,
        5.206149279996689,
        5.206171689498685,
        5.206194099000682,
        5.2062169853005935,
        5.206239394802591,
        5.206262281102502,
        5.206284690604498,
        5.206307100106495,
        5.2063299864064065,
        5.206352395908404,
        5.206375282208315,
        5.206397691710312,
        5.206420101212308,
        5.2064429875122205,
        5.206465397014217,
        5.206488283314129,
        5.206510692816125,
        5.206533102318122,
        5.2065559886180335,
        5.206578398120031,
        5.206600807622027,
        5.206623693921939,
        5.206646103423935,
        5.2066685129259325,
        5.206691399225844,
        5.20671380872784,
        5.206736218229837,
        5.206759104529748,
        5.2067815140317455,
        5.206803923533742,
        5.206826809833654,
        5.20684921933565,
        5.206871628837647,
        5.2068945151375585,
        5.206916924639556,
        5.206939334141552,
        5.206962220441464,
        5.20698462994346,
        5.2070070394454575,
        5.207029925745369,
        5.207052335247366,
        5.207074744749362,
        5.207097154251359,
        5.2071200405512705,
        5.207142450053268,
        5.207164859555264,
        5.207187269057261,
        5.207210155357172,
        5.2072325648591695,
        5.207254974361166,
        5.207277860661077,
        5.207300270163074,
        5.207345089167068,
        5.207367975466979,
        5.207412794470972,
        5.20784048220057,
        5.207862891702566,
        5.207885301204564,
        5.207975416010465,
        5.208020235014459,
        5.208042644516455,
        5.208065054018452,
        5.208087463520449,
        5.208109873022446,
        5.208132759322357,
        5.208155168824354,
        5.20817757832635,
        5.208222397330344,
        5.208312035338331,
        5.208334921638243,
        5.21197026733982,
        5.217855145603537,
        5.217876601509705,
        5.217898534213786,
        5.217941922824036,
        5.217963855528117,
        5.2180072441383665,
        5.218028700044534,
        5.2180720886547824,
        5.218094021358865,
        5.218115477265031,
        5.218245643095778,
        5.21826757579986,
        5.2182890317060275,
        5.21831096441011,
        5.218354353020358,
        5.218397741630607,
        5.218419197536774,
        5.218441130240857,
        5.218462586147023,
        5.21852743066344,
        5.218549363367521,
        5.218570819273689,
        5.218592751977771,
        5.218614207883937,
        5.2186361405880195,
        5.218657596494187,
        5.218679052400353,
        5.2187009851044355,
        5.218722441010603,
        5.218744373714684,
        5.218787285527019,
        5.218809218231101,
        5.218830674137267,
        5.21885260684135,
        5.218874062747517,
        5.218895518653683,
        5.218938907263933,
        5.218960839968014,
        5.218982295874182,
        5.219003751780349,
        5.219025684484431,
        5.219047140390598,
        5.219068596296765,
        5.219090529000847,
        5.219111984907014,
        5.219133440813181,
        5.219155373517263,
        5.21917682942343,
        5.219198285329597,
        5.219220218033679,
        5.219241673939846,
        5.219263129846013,
        5.219285062550095,
        5.219306518456262,
        5.21932797436243,
        5.219349907066511,
        5.219371362972678,
        5.219392818878846,
        5.219414751582927,
        5.219436207489094,
        5.219457663395262,
        5.219479119301429,
        5.21950105200551,
        5.219522507911678,
        5.219543963817845,
        5.219565896521926,
        5.219587352428094,
        5.219608808334261,
        5.219630264240428,
        5.2196521969445095,
        5.219673652850677,
        5.219695108756844,
        5.2197165646630115,
        5.219738497367093,
        5.21975995327326,
        5.2197814091794275,
        5.219802865085594,
        5.219824797789676,
        5.219846253695843,
        5.219867709602011,
        5.219889165508177,
        5.220148066775927,
        5.220169522682094,
        5.220190978588261,
        5.220212434494428,
        5.220233890400595,
        5.220255823104678,
        5.220277279010844,
        5.220298734917011,
        5.220320190823179,
        5.220341646729346,
        5.220363102635512,
        5.22038455854168,
        5.220406491245762,
        5.220427947151928,
        5.220449403058096,
        5.220470858964263,
        5.22049231487043,
        5.220513770776597,
        5.220535226682764,
        5.220556682588931,
        5.220578138495099,
        5.22060007119918,
        5.220621527105347,
        5.220642983011515,
        5.220664438917682,
        5.220685894823848,
        5.220707350730016,
        5.220728806636183,
        5.22075026254235,
        5.220771718448517,
        5.220793174354684,
        5.220814630260851,
        5.220836086167019,
        5.220857542073185,
        5.220879474777267,
        5.220900930683435,
        5.220922386589601,
        5.221029666120437,
        5.221051122026604,
        5.221072577932771,
        5.221094033838938,
        5.221115489745105,
        5.221136945651272,
        5.22115840155744,
        5.221179857463606,
        5.2212013133697734,
        5.221222769275941,
        5.221244225182108,
        5.2212656810882745,
        5.221287136994442,
        5.221308592900609,
        5.221330048806776,
        5.221351504712943,
        5.22137296061911,
        5.2213944165252775,
        5.221415872431445,
        5.221437328337611,
        5.2214587842437785,
        5.221480240149946,
        5.221501219258198,
        5.2215226751643655,
        5.221544131070532,
        5.221565586976699,
        5.221587042882867,
        5.221608498789034,
        5.2216299546952,
        5.221651410601368,
        5.221672866507535,
        5.221694322413702,
        5.221715778319869,
        5.221737234226036,
        5.221758690132203,
        5.221779669240456,
        5.221801125146622,
        5.221822581052789,
        5.221844036958957,
        5.221865492865124,
        5.2218869487712904,
        5.221908404677458,
        5.221929860583625,
        5.221951316489792,
        5.221972295598045,
        5.221993751504211,
        5.2220152074103785,
        5.222036663316546,
        5.222058119222713,
        5.2220795751288795,
        5.222101031035047,
        5.222122010143299,
        5.2221434660494666,
        5.222164921955633,
        5.2221863778618,
        5.222207833767968,
        5.222229289674135,
        5.222250268782387,
        5.222271724688554,
        5.222293180594721,
        5.222314636500888,
        5.222336092407056,
        5.222357071515307,
        5.2223785274214745,
        5.222399983327642,
        5.222421439233809,
        5.2224428951399755,
        5.222463874248228,
        5.222485330154395,
        5.2225067860605625,
        5.22278428244699,
        5.2228052615552425,
        5.222826717461409,
        5.222848173367576,
        5.2228696292737435,
        5.222890608381996,
        5.222912064288163,
        5.22293352019433,
        5.222954499302582,
        5.222975955208749,
        5.222997411114917,
        5.223018390223169,
        5.2230398461293355,
        5.223061302035503,
        5.22308275794167,
        5.2231037370499225,
        5.223125192956089,
        5.223146648862256,
        5.223167627970509,
        5.223189083876676,
        5.223210062984928,
        5.223231518891095,
        5.223252974797262,
        5.223273953905514,
        5.223295409811682,
        5.223316865717848,
        5.2233378448261005,
        5.223359300732268,
        5.223380756638435,
        5.2234017357466875,
        5.223423191652854,
        5.223444170761106,
        5.223465626667274,
        5.223487082573441,
        5.223508061681693,
        5.22352951758786,
        5.223550496696112,
        5.2235719526022795,
        5.223593408508447,
        5.223614387616699,
        5.223635843522866,
        5.223656822631118,
        5.223678278537285,
        5.223699734443453,
        5.223720713551705,
        5.223742169457871,
        5.223763148566124,
        5.223784604472291,
        5.2238055835805435,
        5.223827039486711,
        5.223848018594963,
        5.22386947450113,
        5.223890930407297,
        5.223911909515549,
        5.223933365421717,
        5.223954344529968,
        5.223975800436135,
        5.223996779544388,
        5.224018235450555,
        5.224526978825672,
        5.2245479579339245,
        5.224569413840092,
        5.224590392948344,
        5.2246118488545115,
        5.224632827962763,
        5.224653807071015,
        5.224675262977183,
        5.224696242085435,
        5.224717697991602,
        5.224738677099855,
        5.224759656208106,
        5.2247811121142735,
        5.224802091222526,
        5.224823547128693,
        5.224844526236946,
        5.224865505345198,
        5.224886961251364,
        5.224907940359617,
        5.224928919467869,
        5.2249503753740365,
        5.224971354482289,
        5.22499233359054,
        5.225013789496708,
        5.22503476860496,
        5.2250557477132125,
        5.22507720361938,
        5.225098182727632,
        5.225119161835884,
        5.225140617742051,
        5.225161596850303,
        5.225182575958556,
        5.225204031864723,
        5.225225010972975,
        5.225245990081227,
        5.225267445987394,
        5.225288425095647,
        5.225309404203899,
        5.225330383312151,
        5.225351839218319,
        5.22537281832657,
        5.225393797434823,
        5.22541525334099,
        5.225436232449242,
        5.225457211557495,
        5.225478190665747,
        5.2254996465719135,
        5.225520625680166,
        5.225541604788418,
        5.225562583896671,
        5.225584039802838,
        5.22560501891109,
        5.225625998019342,
        5.225646977127594,
        5.2256684330337615,
        5.225689412142014,
        5.225710391250266,
        5.225731370358519,
        5.22575234946677,
        5.2257738053729375,
        5.22579478448119,
        5.225815763589442,
        5.225836742697695,
        5.225857721805947,
        5.225879177712113,
        5.225900156820366,
        5.225921135928618,
        5.225942115036871,
        5.225963094145123,
        5.22598455005129,
        5.226005529159543,
        5.226026508267794,
        5.2260474873760465,
        5.226068466484299,
        5.226089445592551,
        5.226110901498719,
        5.226131880606971,
        5.2261528597152225,
        5.226173838823475,
        5.226194817931727,
        5.22621579703998,
        5.226236776148232,
        5.226257755256484,
        5.226279211162652,
        5.226300190270903,
        5.226321169379156,
        5.226342148487408,
        5.22636312759566,
        5.226384106703913,
        5.226405085812165,
        5.2264260649204175,
        5.226447044028669,
        5.226468499934836,
        5.226489479043089,
        5.226510458151341,
        5.2265314372595935,
        5.226552416367846,
        5.226573395476098,
        5.22659437458435,
        5.226615353692602,
        5.2266363328008545,
        5.226657311909107,
        5.226678291017359,
        5.226699270125612,
        5.226720249233864,
        5.226741228342116,
        5.226762207450368,
        5.22678318655862,
        5.226804165666873,
        5.226825144775125,
        5.226846123883377,
        5.226867579789545,
        5.226888558897796,
        5.226909538006049,
        5.226930517114301,
        5.226951496222553,
        5.226972475330806,
        5.226993454439058,
        5.2270144335473105,
        5.227035412655563,
        5.227056391763814,
        5.227076894074152,
        5.227097873182404,
        5.227118852290657,
        5.227139831398909,
        5.227160810507161,
        5.227181789615414,
        5.227202768723666,
        5.227223747831918,
        5.22724472694017,
        5.2272657060484224,
        5.227286685156675,
        5.227307664264927,
        5.22732864337318,
        5.227349622481432,
        5.2273706015896835,
        5.227391580697936,
        5.227412559806188,
        5.227433538914441,
        5.227454518022693,
        5.2274750203330305,
        5.227495999441283,
        5.227516978549535,
        5.227537957657788,
        5.227558936766039,
        5.2275799158742915,
        5.227600894982544,
        5.227621874090796,
        5.227642853199049,
        5.227663355509386,
        5.2276843346176385,
        5.227705313725891,
        5.227726292834142,
        5.227747271942395,
        5.227768251050647,
        5.2277892301588995,
        5.227809732469237,
        5.227830711577489,
        5.227851690685742,
        5.227872669793994,
        5.227893648902246,
        5.227914628010498,
        5.22793560711875,
        5.227956109429088,
        5.22797708853734,
        5.227998067645593,
        5.228019046753845,
        5.228040025862097,
        5.228060528172435,
        5.228373784402474,
        5.228394763510726,
        5.228415742618979,
        5.228436244929316,
        5.228457224037569,
        5.22847820314582,
        5.228498705456158,
        5.22851968456441,
        5.228540663672662,
        5.228561642780915,
        5.228582145091252,
        5.228603124199505,
        5.228624103307757,
        5.228644605618094,
        5.228665584726347,
        5.228686563834598,
        5.228707542942851,
        5.228728045253188,
        5.2287490243614405,
        5.228770003469693,
        5.22879050578003,
        5.228811484888283,
        5.228832463996535,
        5.228852966306873,
        5.228873945415125,
        5.2288949245233765,
        5.228915426833714,
        5.228936405941966,
        5.228957385050219,
        5.228977887360556,
        5.2289988664688085,
        5.229019368779146,
        5.229040347887398,
        5.229061326995651,
        5.229081829305988,
        5.229102808414241,
        5.229123787522492,
        5.2291442898328295,
        5.229165268941082,
        5.229185771251419,
        5.229206750359672,
        5.229227729467924,
        5.229248231778262,
        5.229269210886514,
        5.229289713196851,
        5.229310692305104,
        5.229331671413356,
        5.229352173723694,
        5.229373152831945,
        5.229393655142283,
        5.229414634250535,
        5.229435136560872,
        5.229456115669125,
        5.229476617979462,
        5.229497597087715,
        5.229518576195967,
        5.2295390785063045,
        5.229560057614557,
        5.229580559924894,
        5.229601539033147,
        5.229622041343484,
        5.229643020451736,
        5.229663522762073,
        5.2296845018703255,
        5.229705004180663,
        5.229725983288915,
        5.229746485599253,
        5.229767464707505,
        5.229787967017843,
        5.229808946126095,
        5.2298294484364325,
        5.229850427544685,
        5.229870929855022,
        5.229891908963274,
        5.229912411273611,
        5.229933390381864,
        5.229953892692201,
        5.2299748718004535,
        5.229995374110791,
        5.230016353219043,
        5.230036855529381,
        5.230098839258308,
        5.2301198183665605,
        5.230140320676898,
        5.23016129978515,
        5.230181802095488,
        5.230202304405825,
        5.230223283514077,
        5.230243785824414,
        5.230264764932667,
        5.230285267243004,
        5.2303057695533415,
        5.230326748661594,
        5.230347250971931,
        5.230368230080184,
        5.230388732390521,
        5.230409234700859,
        5.230430213809111,
        5.2304507161194485,
        5.230471695227701,
        5.230492197538038,
        5.230512699848376,
        5.230533678956627,
        5.230554181266965,
        5.230574683577302,
        5.2305956626855545,
        5.230616164995892,
        5.2306366673062294,
        5.230657646414482,
        5.230678148724819,
        5.230698651035157,
        5.230719630143409,
        5.230740132453747,
        5.230760634764084,
        5.230781613872336,
        5.230802116182674,
        5.230822618493011,
        5.230843597601264,
        5.230864099911601,
        5.230884602221939,
        5.23090558133019,
        5.230926083640528,
        5.230946585950865,
        5.2309670882612025,
        5.230988067369455,
        5.231008569679792,
        5.23102907199013,
        5.231049574300467,
        5.23107055340872,
        5.231091055719057,
        5.2311115580293945,
        5.231132537137647,
        5.231153039447984,
        5.231173541758322,
        5.231194044068659,
        5.231214546378997,
        5.231235525487249,
        5.231256027797587,
        5.231276530107924,
        5.2312970324182615,
        5.231318011526514,
        5.2313385138368504,
        5.231359016147188,
        5.231379518457525,
        5.231400020767863,
        5.231420999876115,
        5.231441502186453,
        5.23146200449679,
        5.231482506807128,
        5.231503009117465,
        5.231523988225717,
        5.231544490536055,
        5.231564992846392,
        5.23158549515673,
        5.231605997467067,
        5.231626499777405,
        5.231647478885657,
        5.2316679811959945,
        5.231688483506332,
        5.231708985816669,
        5.231729488127007,
        5.231749990437344,
        5.231770492747682,
        5.231791471855934,
        5.231811974166272,
        5.231832476476609,
        5.2318529787869466,
        5.231873481097284,
        5.2318939834076215,
        5.231934988028296,
        5.231955967136548
    ],
    "flux": [
        1.13227,
        1.29047,
        1.20754,
        1.29606,
        1.34943,
        1.33245,
        1.28092,
        1.12162,
        1.14314,
        1.18015,
        1.11711,
        1.16886,
        1.16081,
        1.19819,
        1.2367,
        1.20698,
        1.11428,
        0.989755,
        1.07103,
        1.18788,
        1.30819,
        1.27979,
        1.23793,
        1.31943,
        1.24067,
        1.18773,
        1.34628,
        1.46697,
        1.46731,
        1.32917,
        1.32267,
        1.37193,
        1.51156,
        1.33782,
        1.2495,
        1.17177,
        1.23433,
        1.27019,
        1.10089,
        1.09586,
        1.22268,
        1.13314,
        0.980688,
        1.14309,
        1.15937,
        1.23235,
        1.36847,
        1.32014,
        1.46075,
        1.54979,
        1.29211,
        1.37792,
        1.36734,
        1.36592,
        1.53847,
        1.46198,
        1.32425,
        1.17834,
        1.28283,
        1.25829,
        1.29742,
        1.29105,
        1.24292,
        1.31653,
        1.27987,
        1.1965,
        1.27951,
        1.29457,
        1.27555,
        1.21767,
        1.3848,
        1.52363,
        1.11204,
        1.51735,
        1.55662,
        1.3263,
        1.17763,
        1.05417,
        1.10529,
        1.19322,
        1.22701,
        1.2687,
        1.27603,
        1.3215,
        1.39105,
        1.39084,
        1.30147,
        1.25941,
        1.34907,
        1.40343,
        1.4211,
        1.311,
        1.33048,
        1.0875,
        0.978631,
        1.08039,
        1.21695,
        1.36159,
        1.28186,
        1.02796,
        1.34574,
        1.50639,
        1.34858,
        1.48646,
        1.33235,
        1.18922,
        1.30204,
        1.39015,
        1.47294,
        1.57895,
        1.49389,
        1.54387,
        1.4155,
        1.28674,
        1.27427,
        1.37596,
        1.48923,
        1.50037,
        1.37558,
        1.26483,
        1.48858,
        1.47241,
        1.39371,
        1.35678,
        1.41354,
        1.42097,
        1.41138,
        1.36258,
        1.3971,
        1.36696,
        1.35229,
        1.38155,
        1.40681,
        1.34815,
        1.36981,
        1.38684,
        1.3501,
        1.30408,
        1.25988,
        1.30681,
        1.38884,
        1.36678,
        1.34565,
        1.39478,
        1.37993,
        1.28386,
        1.21966,
        1.24787,
        1.3247,
        1.19318,
        1.23264,
        1.30222,
        1.34999,
        1.29445,
        1.2653,
        1.53205,
        1.47151,
        1.16454,
        1.311,
        1.33408,
        1.26435,
        1.36562,
        1.38227,
        1.25312,
        1.22731,
        1.1802,
        1.21721,
        1.20003,
        1.21139,
        1.22084,
        1.21941,
        1.252,
        1.25557,
        1.26922,
        1.24731,
        1.19041,
        1.26094,
        1.25547,
        1.30658,
        1.27671,
        1.25601,
        1.24954,
        1.27582,
        1.28555,
        1.26785,
        1.31703,
        1.3054,
        1.21364,
        1.19656,
        1.22659,
        1.21312,
        1.20449,
        1.26046,
        1.24599,
        1.29496,
        1.2822,
        1.26297,
        1.28331,
        1.24844,
        1.16712,
        1.13181,
        1.24437,
        1.23849,
        1.22673,
        1.21306,
        1.19096,
        1.29305,
        1.31724,
        1.19647,
        1.22023,
        1.22272,
        1.22205,
        1.20942,
        1.2317,
        1.21955,
        1.16473,
        1.16538,
        1.15692,
        1.24584,
        1.13045,
        1.10291,
        1.09242,
        1.17104,
        1.20317,
        1.14434,
        1.16173,
        1.21193,
        1.23507,
        1.37414,
        1.39695,
        1.29663,
        1.23717,
        1.22757,
        1.28874,
        1.30451,
        1.28156,
        1.28779,
        1.28795,
        1.23967,
        1.23498,
        1.24198,
        1.24912,
        1.26526,
        1.27878,
        1.29221,
        1.28502,
        1.24271,
        1.2247,
        1.23699,
        1.26311,
        1.22649,
        1.16351,
        1.17846,
        1.24872,
        1.1482,
        1.18782,
        1.23165,
        1.19066,
        1.19644,
        1.29293,
        1.2237,
        1.25511,
        1.24824,
        1.33016,
        1.24867,
        1.09937,
        1.26164,
        1.354,
        1.29222,
        1.18939,
        1.32467,
        1.31406,
        1.05957,
        1.33212,
        1.3151,
        1.41112,
        1.32633,
        1.34656,
        1.34264,
        1.46082,
        1.34711,
        1.32102,
        1.26979,
        1.33422,
        1.23758,
        1.2319,
        1.21105,
        1.0915,
        1.05324,
        1.04926,
        0.994458,
        0.945354,
        0.981349,
        0.885269,
        0.891326,
        0.934982,
        0.935133,
        1.03866,
        1.01888,
        0.967236,
        1.07492,
        1.21682,
        1.31214,
        1.38498,
        1.42031,
        1.43223,
        1.42668,
        1.34572,
        1.37524,
        1.50074,
        1.51005,
        1.36107,
        1.35206,
        1.44714,
        1.49977,
        1.50906,
        1.43686,
        1.38237,
        1.3856,
        1.47399,
        1.49223,
        1.34444,
        1.36898,
        1.38113,
        1.44429,
        1.38999,
        1.44392,
        1.37619,
        1.33404,
        1.38222,
        1.43194,
        1.25793,
        1.188,
        1.27614,
        1.25647,
        1.27886,
        1.16188,
        1.25699,
        1.37459,
        1.20158,
        1.20146,
        1.34039,
        1.2455,
        1.1921,
        1.16756,
        1.23451,
        1.24668,
        1.30357,
        1.27654,
        1.1681,
        1.20304,
        1.24558,
        1.22522,
        1.28136,
        1.32363,
        1.28253,
        1.25702,
        1.25079,
        1.23732,
        1.23283,
        1.24123,
        1.30725,
        1.26979,
        1.14518,
        1.22035,
        1.19581,
        1.23008,
        1.27687,
        1.28126,
        1.29446,
        1.22178,
        1.22836,
        1.26064,
        1.22769,
        1.23491,
        1.20349,
        1.25954,
        1.24694,
        1.23612,
        1.23244,
        1.21927,
        1.2391,
        1.25437,
        1.27612,
        1.21618,
        1.24194,
        1.16883,
        1.26433,
        1.20362,
        1.27944,
        1.31043,
        1.13797,
        1.26924,
        1.15069,
        1.16542,
        1.27863,
        1.2085,
        1.21293,
        1.18026,
        1.14086,
        1.15824,
        1.1827,
        1.25814,
        1.28744,
        1.25095,
        1.18483,
        1.22396,
        1.19545,
        1.195,
        1.18201,
        1.25266,
        1.15267,
        1.16708,
        1.24954,
        1.25162,
        1.24128,
        1.16306,
        1.18519,
        1.23946,
        1.24919,
        1.18664,
        1.21836,
        1.29177,
        1.30142,
        1.17308,
        1.29214,
        1.2987,
        1.2615,
        1.2283,
        1.27776,
        1.27241,
        1.29011,
        1.25921,
        1.2282,
        1.20933,
        1.20402,
        1.19391,
        1.10597,
        1.17904,
        1.31577,
        1.31101,
        1.27778,
        1.22714,
        1.23329,
        1.15005,
        1.21836,
        1.12703,
        1.08608,
        1.18009,
        1.11728,
        1.23499,
        1.29203,
        1.24096,
        1.24941,
        1.28249,
        1.20585,
        1.25248,
        1.20798,
        1.14727,
        1.424,
        1.40889,
        1.27133,
        1.27467,
        1.46895,
        1.18468,
        1.1565,
        1.2497,
        1.26888,
        1.22332,
        1.28972,
        1.36164,
        1.35753,
        1.30114,
        1.42754,
        1.5687,
        1.30244,
        1.23142,
        1.46247,
        1.1106,
        1.37485,
        1.48108,
        1.25838,
        1.40157,
        1.34696,
        1.33741,
        1.35119,
        1.30129,
        1.26062,
        1.32655,
        1.39084,
        1.34449,
        1.53013,
        1.54188,
        1.3482,
        1.30412,
        1.39845,
        1.31949,
        1.29502,
        1.26674,
        1.43321,
        1.41445,
        1.2582,
        1.3098,
        1.32508,
        1.29296,
        1.28268,
        1.30539,
        1.32594,
        1.33827,
        1.19872,
        1.19755,
        1.28703,
        1.18701,
        1.1324,
        0.955315,
        0.961378,
        0.964215,
        0.999525,
        0.97342,
        0.886135,
        0.843857,
        0.863704,
        0.999239,
        1.12624,
        1.22283,
        1.03776,
        1.06008,
        1.15418,
        1.28282,
        1.37433,
        1.44243,
        1.39245,
        1.37133,
        1.4457,
        1.24951,
        1.36409,
        1.48532,
        1.41799,
        1.22847,
        1.25689,
        1.23805,
        1.32274,
        1.28179,
        1.17567,
        1.21408,
        1.26904,
        1.31455,
        1.14078,
        1.14489,
        1.24391,
        1.19888,
        1.33915,
        1.24512,
        1.20479,
        1.26901,
        1.17928,
        1.16402,
        1.292,
        1.26505,
        1.27312,
        1.39393,
        1.3723,
        1.15891,
        1.34411,
        1.29094,
        1.24155,
        1.26371,
        1.137,
        1.22756,
        1.28348,
        1.3098,
        1.28704,
        1.23893,
        1.18999,
        1.22474,
        1.24206,
        1.22009,
        1.25871,
        1.24355,
        1.17169,
        1.13091,
        1.28373,
        1.25913,
        1.21456,
        1.12262,
        1.08551,
        1.19061,
        1.25555,
        1.30692,
        1.30206,
        1.20854,
        1.25078,
        1.31314,
        1.3648,
        1.13605,
        1.29427,
        1.33976,
        1.24249,
        1.54767,
        1.36566,
        1.39919,
        1.25664,
        1.1675,
        1.02388,
        1.32276,
        1.20336,
        1.16938,
        1.27536,
        1.11109,
        1.11707,
        1.10692,
        1.20764,
        1.14906,
        1.14003,
        1.14454,
        1.12224,
        1.34235,
        1.26659,
        1.32713,
        1.23206,
        1.25564,
        1.24299,
        1.24448,
        1.31773,
        1.21729,
        1.22201,
        1.16635,
        1.25519,
        1.24805,
        1.23549,
        1.194,
        1.22123,
        1.1648,
        1.15106,
        1.18839,
        1.21319,
        1.18318,
        1.24582,
        1.21709,
        1.21001,
        1.25679,
        1.24738,
        1.21884,
        1.27405,
        1.24116,
        1.26944,
        1.22738,
        1.22774,
        1.22522,
        1.24086,
        1.24309,
        1.14558,
        1.20562,
        1.20812,
        1.21663,
        1.21016,
        1.12644,
        1.21153,
        1.1964,
        1.19076,
        1.17434,
        1.22146,
        1.28443,
        1.32117,
        1.3193,
        1.40971,
        1.36055,
        1.05246,
        1.26121,
        1.073,
        1.09912,
        0.986808,
        1.15116,
        1.19487,
        1.24222,
        1.25396,
        1.24719,
        1.19728,
        1.20948,
        1.31815,
        1.31364,
        1.35117,
        1.29491,
        1.32879,
        1.29912,
        1.19752,
        1.25238,
        1.26634,
        1.26943,
        1.34777,
        1.30503,
        1.29361,
        1.39851,
        1.33524,
        1.30728,
        1.29156,
        1.27169,
        1.28976,
        1.27296,
        1.31414,
        1.27726,
        1.3437,
        1.41521,
        1.35929,
        1.23382,
        1.28479,
        1.36142,
        1.2855,
        1.35489,
        1.35679,
        1.33512,
        1.34657,
        1.38231,
        1.30748,
        1.37988,
        1.38944,
        1.36713,
        1.30002,
        1.31707,
        1.3672,
        1.36017,
        1.43662,
        1.40283,
        1.30595,
        1.39934,
        1.42558,
        1.52308,
        1.37729,
        1.43574,
        1.39501,
        1.29655,
        1.29827,
        1.13316,
        1.17772,
        1.30791,
        1.3739,
        1.21077,
        1.64933,
        1.63723,
        1.38654,
        1.2817,
        1.35183,
        1.25082,
        1.24977,
        1.44508,
        1.4013,
        1.45333,
        1.47224,
        1.34428,
        1.31606,
        1.34946,
        1.33905,
        1.411,
        1.31821,
        1.32019,
        1.27722,
        1.25966,
        1.27461,
        1.33095,
        1.33962,
        1.3364,
        1.30917,
        1.30793,
        1.29118,
        1.26006,
        1.28029,
        1.34528,
        1.27504,
        1.2573,
        1.31659,
        1.29156,
        1.29407,
        1.26743,
        1.24818,
        1.27974,
        1.27428,
        1.29859,
        1.27467,
        1.23773,
        1.24855,
        1.29783,
        1.29884,
        1.26413,
        1.29935,
        1.22574,
        1.2954,
        1.2976,
        1.2658,
        1.29312,
        1.29017,
        1.2784,
        1.22536,
        1.23276,
        1.21747,
        1.26216,
        1.27681,
        1.22444,
        1.19694,
        1.23069,
        1.25429,
        1.18456,
        1.13849,
        1.19842,
        1.23062,
        1.29862,
        1.29177,
        1.28391,
        1.23738,
        1.21814,
        1.18337,
        1.09825,
        1.03948,
        1.16062,
        1.11451,
        1.42305,
        1.30471,
        1.02662,
        1.12001,
        1.15942,
        1.38275,
        1.10828,
        1.20843,
        1.18127,
        1.17261,
        1.25441,
        1.24472,
        1.21431,
        1.19071,
        1.24755,
        1.24012,
        1.1655,
        1.26154,
        1.34403,
        1.30235,
        1.28286,
        1.19445,
        1.22414,
        1.23297,
        1.20979,
        1.23709,
        1.24579,
        1.24915,
        1.22254,
        1.26068,
        1.26109,
        1.23322,
        1.24573,
        1.20338,
        1.18182,
        1.20125,
        1.27679,
        1.23733,
        1.16254,
        1.23579,
        1.19653,
        1.19237,
        1.25044,
        1.22823,
        1.23305,
        1.1963,
        1.19939,
        1.21873,
        1.23937,
        1.17959,
        1.18032,
        1.23204,
        1.20095,
        1.20789,
        1.17339,
        1.21798,
        1.26638,
        1.2303,
        1.20748,
        1.26415,
        1.1522,
        1.1746,
        1.23844,
        1.24177,
        1.16449,
        1.16256,
        1.22002,
        1.16495,
        1.16194,
        1.22383,
        1.25889,
        1.17811,
        1.13636,
        1.18526,
        1.25936,
        1.14675,
        1.16759,
        1.22974,
        1.33115,
        1.14479,
        1.0743,
        1.11822,
        1.32168,
        1.42801,
        1.25125,
        1.13058,
        1.21723,
        1.21567,
        1.24492,
        1.36407,
        1.28502,
        1.27134,
        1.31047,
        1.40285,
        1.32522,
        1.25837,
        1.20937,
        1.25283,
        1.34059,
        1.34703,
        1.40799,
        1.24638,
        1.19181,
        1.20664,
        1.23064,
        1.33074,
        1.24943,
        1.13254,
        1.32571,
        1.35729,
        1.20626,
        1.25544,
        1.20131,
        1.16145,
        1.25588,
        1.25832,
        1.41478,
        1.19457,
        1.17792,
        1.25118,
        1.55689,
        1.41804,
        1.23034,
        1.2545,
        1.27841,
        1.33561,
        1.29572,
        1.27144,
        1.39868,
        1.37851,
        1.25733,
        1.2397,
        1.3127,
        1.38352,
        1.3964,
        1.31045,
        1.27331,
        1.34024,
        1.3091,
        1.2728,
        1.2882,
        1.33157,
        1.31957,
        1.36945,
        1.36974,
        1.46111,
        1.36625,
        1.37092,
        1.30755,
        1.2742,
        1.29535,
        1.24139,
        1.15751,
        1.01229,
        1.44118,
        1.1109,
        1.01881,
        1.12283,
        0.986404,
        0.803365,
        0.849412,
        0.801651,
        0.795529,
        0.869999,
        0.988143,
        0.946549,
        0.930599,
        1.1637,
        1.05844,
        1.12826,
        1.18473,
        1.24823,
        1.26867,
        1.36187,
        1.30786,
        1.35283,
        1.4232,
        1.4321,
        1.41252,
        1.34915,
        1.35887,
        1.41949,
        1.44792,
        1.43182,
        1.4148,
        1.45402,
        1.49819,
        1.42618,
        1.4182,
        1.38503,
        1.43071,
        1.43162,
        1.44252,
        1.43274,
        1.41208,
        1.39759,
        1.35881,
        1.34167,
        1.36887,
        1.36728,
        1.3921,
        1.3455,
        1.36235,
        1.29713,
        1.36938,
        1.29981,
        1.32676,
        1.32638,
        1.33506,
        1.32899,
        1.34409,
        1.3048,
        1.33002,
        1.32089,
        1.25887,
        1.20621,
        1.21937,
        1.22611,
        1.45559,
        1.52535,
        1.2202,
        1.32823,
        1.18737,
        1.21026,
        1.1013,
        1.13389,
        1.24043,
        1.0648,
        1.15433,
        1.23176,
        1.18859,
        1.17641,
        1.37435,
        1.38045,
        1.62885,
        1.52706,
        1.28611,
        1.27023,
        1.30155,
        1.28231,
        1.22908,
        1.26095,
        1.16124,
        1.28813,
        1.2894,
        1.20386,
        1.26419,
        1.17959,
        1.17041,
        1.22482,
        1.25836,
        1.23717,
        1.21053,
        1.26799,
        1.23377,
        1.13596,
        1.15095,
        1.24786,
        1.19643,
        1.22277,
        1.23007,
        1.25853,
        1.21262,
        1.22896,
        1.14606,
        1.2389,
        1.20286,
        1.24413,
        1.26427,
        1.25633,
        1.2778,
        1.24729,
        1.22967,
        1.24907,
        1.21782,
        1.19196,
        1.18552,
        1.18134,
        1.21643,
        1.3072,
        1.17671,
        1.10418,
        1.08908,
        1.15106,
        1.14482,
        1.27316,
        1.32661,
        1.18448,
        1.29779,
        1.3797,
        1.21607,
        1.30514,
        1.13015,
        1.12592,
        1.2925,
        1.17818,
        1.19812,
        1.1438,
        1.17865,
        1.18127,
        1.14917,
        1.18136,
        1.14992,
        1.15186,
        1.23271,
        1.19096,
        1.05531,
        1.0945,
        1.14361,
        1.10567,
        1.27538,
        1.16095,
        1.15264,
        1.20577,
        1.32616,
        1.23917,
        1.28664,
        1.08926,
        1.15152,
        1.43913,
        1.16446,
        1.38068,
        1.37245,
        1.32839,
        1.28277,
        1.32499,
        1.19183,
        1.29003,
        1.32332,
        1.26072,
        1.15554,
        1.12663,
        1.17131,
        1.1929,
        1.26243,
        1.22726,
        1.24724,
        1.28422,
        1.23503,
        1.29911,
        1.25129,
        1.22571,
        1.31988,
        1.29779,
        1.31198,
        1.22168,
        1.29515,
        1.24782,
        1.25058,
        1.27588,
        1.25992,
        1.1777,
        1.25114,
        1.31665,
        1.26795,
        1.19244,
        1.21037,
        1.26113,
        1.22574,
        0.866938,
        0.989373,
        1.12959,
        1.3716,
        1.31214,
        1.32146,
        1.16109,
        1.09486,
        1.23956,
        1.35021,
        1.17158,
        1.25535,
        1.25446,
        1.24805,
        1.32245,
        1.34903,
        1.33536,
        1.21101,
        1.33283,
        1.3085,
        1.19219,
        1.265,
        1.33915,
        1.29852,
        1.29193,
        1.35666,
        1.33535,
        1.35215,
        1.31098,
        1.30491,
        1.22858,
        1.2654,
        1.19959,
        1.20023,
        1.33381,
        1.37953,
        1.45767,
        1.23449,
        1.29839,
        1.32151,
        1.2445,
        1.19297,
        1.19571,
        1.84341,
        1.64886,
        1.33815,
        1.5336,
        1.33926,
        1.60451,
        1.56385,
        1.2965,
        1.55181,
        1.5194,
        1.50852,
        1.46667,
        1.44164,
        1.23153,
        1.25024,
        1.22185,
        1.26702,
        1.22094,
        1.39218,
        1.49163,
        1.35038,
        1.39865,
        1.19238,
        1.21223,
        1.17095,
        1.30768,
        1.11575,
        1.05224,
        1.16207,
        0.905054,
        0.8827,
        0.82781,
        0.84569,
        0.746569,
        0.856696,
        1.16509,
        1.2965,
        1.29782,
        1.40748,
        1.38945,
        1.43229,
        1.51647,
        1.38593,
        1.42922,
        1.44777,
        1.43315,
        1.46491,
        1.41911,
        1.36491,
        1.47088,
        1.36693,
        1.39273,
        1.38736,
        1.40187,
        1.45628,
        1.40715,
        1.40547,
        1.40344,
        1.31677,
        1.35889,
        1.35959,
        1.27506,
        1.3352,
        1.35134,
        1.38724,
        1.37505,
        1.36788,
        1.38587,
        1.31078,
        1.30984,
        1.32514,
        1.34389,
        1.27,
        1.24336,
        1.37887,
        1.32107,
        1.30236,
        1.20948,
        null,
        1.07669,
        1.08028,
        0.965606,
        1.12636,
        1.19182,
        1.19223,
        1.23477,
        1.20683,
        1.16875,
        1.1197,
        1.11898,
        1.30027,
        1.61646,
        1.6964,
        1.4743,
        1.30564,
        1.18723,
        1.21239,
        1.23508,
        1.23747,
        1.2662,
        1.2037,
        1.2076,
        1.19567,
        1.17336,
        1.20221,
        1.19481,
        1.15743,
        1.21013,
        1.2001,
        1.21979,
        1.21738,
        1.20699,
        1.23052,
        1.25034,
        1.23492,
        1.21612,
        1.21042,
        1.22358,
        1.24067,
        1.27524,
        1.27261,
        1.24745,
        1.25541,
        1.27022,
        1.22214,
        1.22845,
        1.22172,
        1.23313,
        1.22996,
        1.21028,
        1.19917,
        1.21634,
        1.24602,
        1.22902,
        1.18937,
        1.18312,
        1.17124,
        1.18143,
        1.21966,
        1.19735,
        1.15997,
        1.17048,
        1.19093,
        1.18313,
        1.16122,
        1.17915,
        1.19019,
        1.14073,
        1.18562,
        1.22676,
        1.21357,
        1.20615,
        1.20444,
        1.20835,
        1.2614,
        1.2621,
        1.17054,
        1.15642,
        1.2212,
        1.34901,
        1.17408,
        1.13381,
        1.51864,
        1.37867,
        1.12121,
        1.27323,
        1.28652,
        1.17616,
        1.15467,
        1.17792,
        1.16317,
        1.21524,
        1.23272,
        1.27754,
        1.26252,
        1.23046,
        1.26387,
        1.29186,
        1.32379,
        1.32731,
        1.31652,
        1.25422,
        1.25168,
        1.3056,
        1.25843,
        1.22059,
        1.21118,
        1.22984,
        1.19901,
        1.15905,
        1.12692,
        1.08823,
        1.00612,
        0.865359,
        0.861101,
        0.822331,
        0.807742,
        0.850829,
        0.834913,
        0.865529,
        0.917057,
        0.946457,
        0.971933,
        0.975392,
        1.0163,
        1.07652,
        1.16241,
        1.19744,
        1.2202,
        1.26845,
        1.28295,
        1.30434,
        1.32758,
        1.38023,
        1.38827,
        1.35364,
        1.29546,
        1.2658,
        1.29482,
        1.30079,
        1.31507,
        1.31587,
        1.2788,
        1.27792,
        1.26061,
        1.27762,
        1.29247,
        1.27343,
        1.292,
        1.30008,
        1.26995,
        1.31302,
        1.30581,
        1.26056,
        1.17546,
        1.19223,
        1.26448,
        1.33916,
        1.3681,
        1.28234,
        1.08283,
        1.13336,
        1.12021,
        1.05589,
        1.14725,
        1.24275,
        1.19629,
        1.1617,
        1.2741,
        1.21167,
        1.17205,
        1.20499,
        1.18636,
        1.15466,
        1.18114,
        1.1947,
        1.19439,
        1.17783,
        1.1494,
        1.13294,
        1.12576,
        1.13147,
        1.14492,
        1.16713,
        1.19429,
        1.18046,
        1.19586,
        1.19261,
        1.15762,
        1.16228,
        1.19153,
        1.21084,
        1.18103,
        1.16303,
        1.20602,
        1.20581,
        1.19691,
        1.1658,
        1.14974,
        1.14516,
        1.15501,
        1.19293,
        1.17145,
        1.17787,
        1.17724,
        1.17036,
        1.1695,
        1.17451,
        1.21272,
        1.20808,
        1.17866,
        1.16397,
        1.17374,
        1.18233,
        1.18506,
        1.16784,
        1.15647,
        1.12562,
        1.14612,
        1.20178,
        1.17283,
        1.14945,
        1.18653,
        1.17779,
        1.19107,
        1.17461,
        1.19189,
        1.20442,
        1.18026,
        1.15723,
        1.16107,
        1.18036,
        1.1934,
        1.16726,
        1.16281,
        1.12892,
        1.16556,
        1.15633,
        1.16478,
        1.20046,
        1.22469,
        1.16444,
        1.11627,
        1.13978,
        1.12526,
        1.222,
        1.12835,
        1.16055,
        1.21923,
        1.1458,
        1.2066,
        1.11948,
        1.15469,
        1.15973,
        1.11995,
        1.15664,
        1.14245,
        1.15843,
        1.14362,
        1.17866,
        1.21645,
        1.2583,
        1.2337,
        1.22473,
        1.18235,
        1.18876,
        1.15902,
        1.1515,
        1.16005,
        1.17631,
        1.20343,
        1.21263,
        1.18749,
        1.17887,
        1.1859,
        1.19792,
        1.19126,
        1.18477,
        1.19115,
        1.21376,
        1.20316,
        1.20926,
        1.19457,
        1.20055,
        1.20772,
        1.18104,
        1.18379,
        1.20486,
        1.20231,
        1.1859,
        1.18189,
        1.2135,
        1.23097,
        1.25462,
        1.22705,
        1.21424,
        1.18294,
        1.19423,
        1.24087,
        1.21765,
        1.20012,
        1.22381,
        1.21927,
        1.2075,
        1.18271,
        1.19108,
        1.19209,
        1.20543,
        1.19231,
        1.17973,
        1.19576,
        1.18502,
        1.18195,
        1.19245,
        1.20546,
        1.19931,
        1.16318,
        1.1902,
        1.17957,
        1.17361,
        1.19448,
        1.19257,
        1.16596,
        1.20361,
        1.19897,
        1.17176,
        1.16692,
        1.17947,
        1.15368,
        1.14616,
        1.15554,
        1.24965,
        1.26564,
        1.17422,
        1.15257,
        1.07725,
        1.1227,
        1.05735,
        1.04225,
        1.21434,
        1.38638,
        1.31507,
        1.07944,
        1.14307,
        1.22559,
        1.24015,
        1.2136,
        1.19381,
        1.18632,
        1.15226,
        1.1071,
        1.11145,
        1.12194,
        1.14088,
        1.18373,
        1.21231,
        1.23293,
        1.19111,
        1.22737,
        1.24641,
        1.24986,
        1.20787,
        1.23343,
        1.30857,
        1.16779,
        0.982759,
        1.00124,
        1.16107,
        1.26919,
        1.21875,
        1.23969,
        1.2786,
        1.32132,
        1.3347,
        1.30379,
        1.25178,
        1.28328,
        1.31227,
        1.32321,
        1.32949,
        1.33899,
        1.28492,
        1.29309,
        1.28071,
        1.25784,
        1.24977,
        1.25673,
        1.22213,
        1.22195,
        1.23245,
        1.22583,
        1.1918,
        1.15629,
        1.13106,
        1.07077,
        1.04862,
        1.00926,
        0.925989,
        0.876175,
        0.85086,
        0.758112,
        0.764403,
        0.753495,
        0.787577,
        0.836395,
        0.88354,
        0.901641,
        0.976548,
        0.986599,
        1.03313,
        1.08499,
        1.16032,
        1.26355,
        1.29952,
        1.26848,
        1.18906,
        1.3594,
        1.4259,
        1.47504,
        1.43688,
        1.59471,
        1.41462,
        1.27725,
        1.32169,
        1.38271,
        1.33881,
        1.32409,
        1.27813,
        1.3815,
        1.36145,
        1.33444,
        1.31559,
        1.17615,
        1.13779,
        1.09078,
        1.25011,
        1.22997,
        1.22089,
        1.22803,
        1.20569,
        1.18091,
        1.18629,
        1.21695,
        1.19525,
        1.16584,
        1.18634,
        1.17584,
        1.18792,
        1.18265,
        1.17719,
        1.18645,
        1.16995,
        1.13862,
        1.16947,
        1.17919,
        1.16882,
        1.13958,
        1.15082,
        1.18076,
        1.21462,
        1.20968,
        1.19239,
        1.16126,
        1.18605,
        1.18795,
        1.1882,
        1.20957,
        1.17984,
        1.15796,
        1.1721,
        1.17527,
        1.18657,
        1.19115,
        1.19666,
        1.20628,
        1.18933,
        1.20402,
        1.1916,
        1.19719,
        1.20181,
        1.17976,
        1.22622,
        1.22875,
        1.22691,
        1.22138,
        1.20101,
        1.21314,
        1.22868,
        1.20067,
        1.19379,
        1.18267,
        1.14808,
        1.1832,
        1.19235,
        1.19318,
        1.16132,
        1.19608,
        1.21163,
        1.15823,
        1.15001,
        1.22363,
        1.19164,
        1.17991,
        1.27844,
        1.32054,
        1.11857,
        1.14876,
        1.15472,
        1.13781,
        1.16411,
        1.05635,
        1.06006,
        1.06386,
        1.12818,
        1.19602,
        1.13069,
        1.16256,
        1.21487,
        1.21727,
        1.18492,
        1.17884,
        1.20524,
        1.22367,
        1.20574,
        1.20756,
        1.2032,
        1.19933,
        1.2042,
        1.1955,
        1.22809,
        1.19822,
        1.11544,
        1.09978,
        1.21588,
        1.25435,
        1.0945,
        1.04786,
        1.08073,
        1.28368,
        1.27069,
        1.28805,
        1.17506,
        1.17091,
        1.18249,
        1.22775,
        1.14672,
        1.15139,
        1.14231,
        1.17279,
        1.17055,
        1.18204,
        1.2096,
        1.19856,
        1.17933,
        1.16583,
        1.1474,
        1.16178,
        1.18588,
        1.14025,
        1.17066,
        1.24554,
        1.19328,
        1.18667,
        1.19311,
        1.19351,
        1.20068,
        1.17454,
        1.18937,
        1.21667,
        1.20409,
        1.18789,
        1.1658,
        1.17398,
        1.17847,
        1.16915,
        1.18824,
        1.21716,
        1.18534,
        1.18399,
        1.18674,
        1.1898,
        1.19333,
        1.18527,
        1.17122,
        1.19876,
        1.18924,
        1.22402,
        1.21308,
        1.1344,
        1.1072,
        1.15435,
        1.15614,
        1.17813,
        1.17227,
        1.17277,
        1.14632,
        1.21066,
        1.20693,
        1.21125,
        1.21772,
        1.08021,
        1.0769,
        1.09684,
        1.00648,
        1.1698,
        1.32703,
        1.15069,
        1.24377,
        1.09122,
        1.20311,
        1.25756,
        1.25672,
        1.21189,
        1.17835,
        1.16758,
        1.15854,
        1.16311,
        1.17331,
        1.16483,
        1.13874,
        1.19145,
        1.2221,
        1.18075,
        1.17895,
        1.18064,
        1.18915,
        1.17639,
        1.17609,
        1.15905,
        1.15279,
        1.16748,
        1.16242,
        1.18149,
        1.12941,
        1.11575,
        1.16046,
        1.19596,
        1.19774,
        1.1211,
        1.14383,
        1.18839,
        1.18814,
        1.00876,
        0.960357,
        1.17228,
        1.2131,
        1.14209,
        0.95478,
        1.0464,
        1.10513,
        1.22496,
        1.20179,
        1.13911,
        1.16165,
        1.21087,
        1.23782,
        1.28046,
        1.30961,
        1.17674,
        1.24359,
        1.25346,
        1.28018,
        1.09921,
        1.16541,
        1.20005,
        1.19455,
        1.18168,
        1.21445,
        1.23403,
        1.21301,
        1.18421,
        1.19721,
        1.22491,
        1.23689,
        1.2207,
        1.26452,
        1.28602,
        1.22038,
        1.16246,
        1.25069,
        1.3187,
        1.35066,
        1.17103,
        1.21491,
        1.3486,
        1.49184,
        1.32463,
        1.2086,
        1.21692,
        1.28707,
        1.26567,
        1.21754,
        1.31427,
        1.04877,
        1.02525,
        1.16692,
        1.29044,
        1.27648,
        1.21677,
        1.18781,
        1.19896,
        1.33326,
        1.268,
        1.21977,
        1.24488,
        1.32562,
        1.24245,
        1.26141,
        1.24592,
        1.24561,
        1.22127,
        1.20998,
        1.20486,
        1.16692,
        1.11901,
        1.09594,
        1.07081,
        1.04335,
        0.981565,
        0.890319,
        0.843942,
        0.80652,
        0.797942,
        0.801462,
        0.773014,
        0.79943,
        0.870981,
        0.912504,
        0.932259,
        0.994738,
        1.05388,
        1.07984,
        1.11898,
        1.17801,
        1.2131,
        1.2589,
        1.32676,
        1.33085,
        1.24262,
        1.32166,
        1.33221,
        1.35503,
        1.35678,
        1.26941,
        1.28444,
        1.38403,
        1.32086,
        1.25804,
        1.47725,
        1.37174,
        1.26624,
        1.23013,
        1.21645,
        1.20809,
        1.24332,
        1.21965,
        1.22927,
        1.24311,
        1.21021,
        1.25304,
        1.25423,
        1.27452,
        1.25615,
        1.25015,
        1.18326,
        1.19786,
        1.20964,
        1.22112,
        1.22907,
        1.22084,
        1.1996,
        1.20211,
        1.20177,
        1.18816,
        1.17976,
        1.18466,
        1.18972,
        1.16896,
        1.15446,
        1.20449,
        1.14842,
        1.1659,
        1.18832,
        1.21975,
        1.18996,
        1.18506,
        1.20829,
        1.22311,
        1.21869,
        1.16639,
        1.16788,
        1.15497,
        1.19812,
        1.1974,
        1.16013,
        1.06427,
        1.10427,
        1.09928,
        1.1169,
        1.08531,
        1.11279,
        1.11122,
        1.25384,
        1.23782,
        1.13028,
        1.20094,
        1.27533,
        1.22177,
        1.206,
        1.22939,
        1.20237,
        1.1911,
        1.19316,
        1.20886,
        1.21145,
        1.2064,
        1.23122,
        1.22149,
        1.17703,
        1.21339,
        1.18921,
        1.20982,
        1.19418,
        1.18395,
        1.17548,
        1.14207,
        1.20072,
        1.19748,
        1.19769,
        1.18574,
        1.22028,
        1.20407,
        1.20168,
        1.15043,
        1.20609,
        1.20406,
        1.20721,
        1.24982,
        1.20048,
        1.18654,
        1.16475,
        1.19367,
        1.21524,
        1.21155,
        1.24207,
        1.17033,
        1.1541,
        1.14392,
        1.13507,
        1.153,
        1.1791,
        1.16573,
        1.1865,
        1.2057,
        1.18844,
        1.17914,
        1.19092,
        1.15814,
        1.16489,
        1.15892,
        1.19537,
        1.21346,
        1.12381,
        1.11999,
        1.29579,
        1.2033,
        1.19301,
        1.23335,
        1.21216,
        1.24801,
        1.16305,
        1.12017,
        1.1576,
        1.19345,
        1.15037,
        1.18511,
        1.17901,
        1.21859,
        1.16516,
        1.18452,
        1.1807,
        1.212,
        1.19522,
        1.19417,
        1.20691,
        1.19643,
        1.1783,
        1.19295,
        1.16185,
        1.18186,
        1.16413,
        1.18761,
        1.16674,
        1.15218,
        1.15215,
        1.15642,
        1.19883,
        1.1478,
        1.12234,
        1.15765,
        1.12403,
        1.08699,
        1.10378,
        1.16332,
        1.15465,
        1.08816,
        1.14379,
        1.16514,
        1.20733,
        1.21985,
        1.15323,
        1.10577,
        1.17685,
        1.18128,
        1.1426,
        1.14055,
        1.15778,
        1.21525,
        1.21076,
        1.18977,
        1.19228,
        1.17033,
        1.17372,
        1.1691,
        1.13887,
        1.13979,
        1.14649,
        1.15558,
        1.17308,
        1.15133,
        1.15046,
        1.1688,
        1.18288,
        1.16284,
        1.16617,
        1.17014,
        1.1733,
        1.18312,
        1.15457,
        1.16269,
        1.176,
        1.17226,
        1.19056,
        1.15223,
        1.1739,
        1.11487,
        1.15112,
        1.10887,
        1.14362,
        1.14479,
        1.15214,
        1.16155,
        1.18065,
        1.17382,
        1.16697,
        1.15665,
        1.16291,
        1.15846,
        1.17843,
        1.18251,
        1.19637,
        1.18963,
        1.18333,
        1.14234,
        1.15735,
        1.15589,
        1.16671,
        1.13486,
        1.19275,
        1.19285,
        1.17657,
        1.13174,
        1.0889,
        1.13484,
        1.1815,
        1.16917,
        1.203,
        1.16224,
        1.12505,
        1.12299,
        1.23423,
        1.17207,
        1.07251,
        0.907389,
        1.17766,
        1.14777,
        1.1871,
        1.13876,
        1.16024,
        1.15114,
        1.13756,
        1.15459,
        1.11766,
        1.14239,
        1.1901,
        1.1968,
        1.20259,
        1.19092,
        1.15998,
        1.13624,
        1.15906,
        1.14877,
        1.11853,
        1.15139,
        1.20383,
        1.17776,
        1.19464,
        1.17382,
        1.17951,
        1.1897,
        1.136,
        1.12212,
        1.11442,
        1.11809,
        1.09938,
        1.17853,
        1.08192,
        1.14467,
        1.07546,
        1.11061,
        1.13924,
        1.18864,
        1.24176,
        1.1553,
        1.21016,
        1.25488,
        1.23665,
        1.24837,
        1.22425,
        1.19811,
        1.19258,
        1.23028,
        1.2655,
        1.31776,
        1.28097,
        1.2636,
        1.22875,
        1.22143,
        1.31478,
        1.18835,
        1.1152,
        1.18069,
        1.11926,
        1.15634,
        1.26251,
        1.25447,
        1.22318,
        1.21654,
        1.26216,
        1.29954,
        1.26803,
        1.28648,
        1.30021,
        1.26001,
        1.28831,
        1.32846,
        1.31398,
        1.3086,
        1.28978,
        1.28334,
        1.29688,
        1.28674,
        1.26838,
        1.23867,
        1.23252,
        1.24159,
        1.206,
        1.19422,
        1.20574,
        1.16341,
        1.13178,
        1.10757,
        1.04495,
        0.980929,
        0.928613,
        0.887428,
        0.831133,
        0.799431,
        0.773784,
        0.787238,
        0.796075,
        0.810035,
        0.862649,
        0.921497,
        0.958647,
        1.00992,
        1.04795,
        1.06034,
        1.0763,
        1.17921,
        1.17827,
        1.27902,
        1.28278,
        1.22191,
        1.25443,
        1.05572,
        1.07426,
        1.31168,
        1.40871,
        1.27836,
        1.30092,
        1.36528,
        1.30261,
        1.30869,
        1.34022,
        1.28958,
        1.22757,
        1.29284,
        1.29564,
        1.27033,
        1.29043,
        1.30935,
        1.23469,
        1.23381,
        1.26068,
        1.21857,
        1.22489,
        1.24032,
        1.2416,
        1.24398,
        1.37686,
        1.32471,
        1.14336,
        1.09382,
        1.18134,
        1.24444,
        1.24009,
        1.14962,
        1.24097,
        1.24432,
        1.25153,
        1.27117,
        1.25465,
        1.21735,
        1.20041,
        1.2055,
        1.18416,
        1.17079,
        1.23304,
        1.2303,
        1.2213,
        1.2409,
        1.21491,
        1.17096,
        1.19319,
        1.25009,
        1.20278,
        1.18476,
        1.17575,
        1.21223,
        1.23677,
        1.22511,
        1.23264,
        1.22737,
        1.21391,
        1.18839,
        1.19263,
        1.19153,
        1.23634,
        1.19473,
        1.1665,
        1.19423,
        1.19023,
        1.19074,
        1.19991,
        1.23156,
        1.20381,
        1.21858,
        1.22278,
        1.2062,
        1.19431,
        1.17953,
        1.21543,
        1.20376,
        1.21128,
        1.22818,
        1.21662,
        1.22981,
        1.21807,
        1.17429,
        1.20518,
        1.2246,
        1.19558,
        1.20995,
        1.20687,
        1.21559,
        1.18959,
        1.20932,
        1.21838,
        1.19485,
        1.16522,
        1.19459,
        1.19948,
        1.20845,
        1.19884,
        1.18092,
        1.16127,
        1.16916,
        1.17035,
        1.17228,
        1.17279,
        1.18337,
        1.1961,
        1.18632,
        1.21383,
        1.22553,
        1.17904,
        1.17944,
        1.1942,
        1.13035,
        1.12551,
        1.08421,
        1.14025,
        1.16733,
        1.21651,
        1.13143,
        1.10022,
        1.08327,
        0.980945,
        1.08251,
        1.21526,
        1.10741,
        1.12067,
        1.16675,
        1.17163,
        1.12312,
        1.14322,
        1.16818,
        1.08553,
        1.17115,
        1.188,
        1.14971,
        1.07644,
        1.12461,
        1.16455,
        1.30433,
        1.18942,
        1.09529,
        0.927589,
        1.13773,
        0.994346,
        1.04882,
        1.60338,
        1.06403,
        1.20623,
        1.15838,
        1.01373,
        1.19042,
        1.11217,
        1.15748,
        1.18728,
        1.12391,
        1.17687,
        1.18023,
        1.13164,
        1.12862,
        1.12182,
        1.12007,
        1.21595,
        1.19932,
        1.20424,
        1.13552,
        1.17516,
        1.20899,
        1.21931,
        1.14144,
        1.18865,
        1.18463,
        1.11942,
        1.14285,
        1.1386,
        1.12795,
        1.15025,
        1.21385,
        1.2107,
        1.14715,
        1.13302,
        1.1614,
        1.13728,
        1.15402,
        1.15412,
        1.1925,
        1.14901,
        1.16799,
        1.18368,
        1.17067,
        1.13952,
        1.19713,
        1.17774,
        1.14635,
        1.11916,
        1.15755,
        1.14936,
        1.17323,
        1.1687,
        1.20331,
        1.20255,
        1.18109,
        1.16963,
        1.15009,
        1.10606,
        1.16425,
        1.15564,
        1.12325,
        1.18263,
        1.17356,
        1.15979,
        1.16188,
        1.14361,
        1.16439,
        1.14221,
        1.12776,
        1.14078,
        1.15612,
        1.17717,
        1.14939,
        1.15083,
        1.13205,
        1.13988,
        1.14441,
        1.18504,
        1.18422,
        1.16094,
        1.14767,
        1.10775,
        1.16936,
        1.15048,
        1.15742,
        1.1539,
        1.15408,
        1.17225,
        1.12285,
        1.14378,
        1.17137,
        1.15501,
        1.11184,
        1.13363,
        1.14715,
        1.15697,
        1.17925,
        1.15223,
        1.10023,
        1.17417,
        1.12068,
        1.16316,
        1.13651,
        1.16756,
        1.20785,
        1.21585,
        1.28229,
        1.1859,
        1.12768,
        1.05127,
        1.07901,
        1.23245,
        1.15816,
        1.16035,
        1.29763,
        1.14272,
        1.16107,
        1.13238,
        1.22723,
        1.16117,
        1.14464,
        1.14205,
        1.13372,
        1.13299,
        1.12162,
        1.14564,
        1.18679,
        1.15563,
        1.13435,
        1.18776,
        1.20091,
        1.18442,
        1.1766,
        1.1945,
        1.18702,
        1.17639,
        1.17598,
        1.15339,
        1.14392,
        1.13552,
        1.1484,
        1.1529,
        1.17153,
        1.15569,
        1.15002,
        1.17339,
        1.18907,
        1.1391,
        1.16975,
        1.1569,
        1.1752,
        1.18081,
        1.18799,
        1.19751,
        1.15402,
        1.15821,
        1.18554,
        1.18361,
        1.17539,
        1.18268,
        1.21305,
        1.18785,
        1.17946,
        1.16421,
        1.2061,
        1.24482,
        1.2095,
        1.15587,
        1.19245,
        1.18164,
        1.12235,
        1.22433,
        1.25473,
        1.26401,
        1.2419,
        1.10362,
        1.04772,
        1.05701,
        1.16995,
        1.22289,
        1.26486,
        1.28449,
        1.227,
        1.2832,
        1.27908,
        1.26657,
        1.30717,
        1.28252,
        1.25296,
        1.28826,
        1.27248,
        1.29087,
        1.27812,
        1.32689,
        1.34423,
        1.265,
        1.20442,
        1.22853,
        1.24845,
        1.27253,
        1.27172,
        1.23325,
        1.15658,
        1.13369,
        1.12896,
        1.11537,
        1.03074,
        0.994014,
        1.01281,
        0.93688,
        0.880336,
        0.824298,
        0.77458,
        0.743277,
        0.758647,
        0.779528,
        0.843706,
        0.704823,
        0.911641,
        0.981322,
        1.05289,
        1.03972,
        1.03232,
        1.01127,
        1.12548,
        1.31219,
        1.32743,
        1.35877,
        1.35464,
        1.24628,
        1.38403,
        1.31254,
        1.35783,
        1.34198,
        1.32669,
        1.30081,
        1.37609,
        1.31521,
        1.30431,
        1.28279,
        1.32925,
        1.37112,
        1.32748,
        1.31681,
        1.33374,
        1.2912,
        1.27833,
        1.30129,
        1.28357,
        1.28048,
        1.28112,
        1.27286,
        1.29875,
        1.2527,
        1.27823,
        1.25423,
        1.272,
        1.26153,
        1.26656,
        1.28398,
        1.26635,
        1.26381,
        1.25873,
        1.25831,
        1.27779,
        1.26066,
        1.2525,
        1.24789,
        1.23517,
        1.19819,
        1.21693,
        1.25858,
        1.23203,
        1.23363,
        1.23547,
        1.25261,
        1.18329,
        1.20842,
        1.20293,
        1.19539,
        1.20142,
        1.24148,
        1.19665,
        1.20574,
        1.22369,
        1.2038,
        1.18889,
        1.19397,
        1.21998,
        1.23424,
        1.22351,
        1.23852,
        1.22242,
        1.20632,
        1.20526,
        1.21151,
        1.17196,
        1.1768,
        1.1768,
        1.19072,
        1.22766,
        1.21482,
        1.19161,
        1.21909,
        1.21685,
        1.19362,
        1.22981,
        1.1981,
        1.17251,
        1.20107,
        1.2097,
        1.17891,
        1.15827,
        1.16705,
        1.18959,
        1.20541,
        1.21678,
        1.20849,
        1.17467,
        1.16925,
        1.1629,
        1.15998,
        1.16261,
        1.18136,
        1.19086,
        1.1867,
        1.23051,
        1.20432,
        1.21298,
        1.22692,
        1.1739,
        1.16708,
        1.19934,
        1.17206,
        1.15115,
        1.23105,
        1.2124,
        1.16902,
        1.20071,
        1.20129,
        1.20215,
        1.21137,
        1.19106,
        1.05005,
        1.06194,
        1.18208,
        1.17971,
        1.19947,
        1.23691,
        1.1042,
        1.09208,
        1.17001,
        1.08872,
        1.10569,
        1.20655,
        1.1616,
        1.04445,
        1.25758,
        1.13133,
        1.07656,
        0.946058,
        1.09537,
        1.14038,
        1.18771,
        1.01953,
        1.03739,
        1.06675,
        1.10542,
        1.04714,
        1.19234,
        1.10204,
        1.15137,
        1.09047,
        1.16663,
        1.18417,
        1.11087,
        1.10259,
        1.17427,
        1.16269,
        1.15383,
        1.09519,
        1.16218,
        1.13276,
        1.12261,
        1.19264,
        1.15251,
        1.15404,
        1.16594,
        1.1772,
        1.14948,
        1.15169,
        1.13419,
        1.16178,
        1.14755,
        1.15509,
        1.16087,
        1.10155,
        1.14348,
        1.15574,
        1.15726,
        1.12713,
        1.14619,
        1.17123,
        1.18211,
        1.16628,
        1.14863,
        1.15199,
        1.20347,
        1.19651,
        1.11839,
        1.16451,
        1.19136,
        1.15046,
        1.14418,
        1.14898,
        1.1656,
        1.19672,
        1.15778,
        1.17289,
        1.14496,
        1.16508,
        1.21373,
        1.17998,
        1.17955,
        1.10176,
        1.22193,
        1.16541,
        1.1845,
        1.18215,
        1.14798,
        1.1873,
        1.1595,
        1.17953,
        1.12755,
        1.17073,
        1.16275,
        1.21159,
        1.21107,
        1.18891,
        1.15011,
        1.20308,
        1.1843,
        1.17947,
        1.1771,
        1.22752,
        1.20256,
        1.18716,
        1.15811,
        1.14348,
        1.16473,
        1.18668,
        1.16,
        1.17823,
        1.16128,
        1.13411,
        1.16884,
        1.16471,
        1.17981,
        1.15123,
        1.17558,
        1.16326,
        1.14851,
        1.17159,
        1.22999,
        1.17979,
        1.14529,
        1.20593,
        1.1884,
        1.10064,
        1.12438,
        1.25056,
        1.13429,
        1.12936,
        1.05864,
        1.09327,
        1.11127,
        1.14388,
        1.27043,
        1.26143,
        1.15417,
        1.11211,
        1.18603,
        1.13271,
        1.14695,
        1.16367,
        1.17045,
        1.16682,
        1.21289,
        1.16302,
        1.12077,
        1.16859,
        1.18605,
        1.13932,
        1.24062,
        1.2046,
        1.22049,
        1.22825,
        1.31233,
        1.36872,
        1.20224,
        1.05914,
        1.18856,
        1.00404,
        1.10304,
        1.03572,
        1.09949,
        1.13575,
        1.11599,
        1.08994,
        1.07179,
        1.0562,
        1.10862,
        1.20438,
        1.19292,
        1.16791,
        1.14947,
        1.17513,
        1.14698,
        1.16493,
        1.18255,
        1.19178,
        1.1615,
        1.1867,
        1.1531,
        1.1507,
        1.19616,
        1.1805,
        1.17594,
        1.18471,
        1.23164,
        1.21888,
        1.14769,
        1.14752,
        1.17117,
        1.14251,
        1.1835,
        1.18082,
        1.16503,
        1.16756,
        1.13926,
        1.17578,
        1.17214,
        1.182,
        null,
        1.12529,
        1.1323,
        1.1317,
        1.18618,
        1.17789,
        1.17517,
        1.19269,
        1.20465,
        1.19441,
        1.16857,
        1.16271,
        1.19289,
        1.18226,
        1.18741,
        1.18552,
        1.16835,
        1.16531,
        1.14953,
        1.15986,
        1.16375,
        1.16381,
        1.12939,
        1.07909,
        1.09499,
        1.13141,
        1.1371,
        1.13251,
        1.17652,
        1.14422,
        1.13564,
        1.15862,
        1.13245,
        1.1494,
        1.17079,
        1.17663,
        1.14598,
        1.12853,
        1.16145,
        1.18106,
        1.16543,
        1.17854,
        1.1535,
        1.13642,
        1.14837,
        1.14633,
        1.17241,
        1.16086,
        1.13586,
        1.15331,
        1.11415,
        1.13058,
        1.16123,
        1.16361,
        1.14705,
        1.14425,
        1.1332,
        1.13597,
        1.1466,
        1.13998,
        1.1114,
        1.11121,
        1.13347,
        1.12813,
        1.14494,
        1.13262,
        1.11522,
        1.13145,
        1.13919,
        1.13344,
        1.14858,
        1.07854,
        1.07826,
        1.10102,
        1.05208,
        1.1075,
        1.1789,
        1.13238,
        1.13127,
        1.14147,
        1.16542,
        1.16269,
        1.15237,
        1.1504,
        1.15892,
        1.15259,
        1.14539,
        1.16323,
        1.1484,
        1.12684,
        1.13285,
        1.14473,
        1.14548,
        1.1343,
        1.14207,
        1.16089,
        1.14877,
        1.13271,
        1.16306,
        1.16299,
        1.13693,
        1.1281,
        1.14769,
        1.1753,
        1.14679,
        1.13958,
        1.14178,
        1.16562,
        1.15551,
        1.14386,
        1.13338,
        1.12871,
        1.14264,
        1.13739,
        1.13083,
        1.13024,
        1.13563,
        1.13931,
        1.12049,
        1.1282,
        1.16202,
        1.14767,
        1.13144,
        1.1556,
        1.15651,
        1.14705,
        1.12832,
        1.13827,
        1.15673,
        1.13015,
        1.11892,
        1.13204,
        1.15409,
        1.14166,
        1.12523,
        1.11511,
        1.12615,
        1.15296,
        1.15463,
        1.12392,
        1.09888,
        1.09199,
        1.08962,
        1.10119,
        1.10781,
        1.12237,
        1.12922,
        1.11731,
        1.09844,
        1.04923,
        1.08767,
        1.07513,
        1.09745,
        1.12496,
        1.17179,
        1.17011,
        1.11688,
        1.14309,
        1.15217,
        1.14513,
        1.14454,
        1.14046,
        1.15274,
        1.14898,
        1.13488,
        1.13275,
        1.12922,
        1.11977,
        1.142,
        1.1488,
        1.14941,
        1.15214,
        1.13718,
        1.15097,
        1.17112,
        1.1561,
        1.15497,
        1.15366,
        1.16175,
        1.16795,
        1.14133,
        1.14708,
        1.13081,
        1.13195,
        1.13685,
        1.13398,
        1.15506,
        1.17884,
        1.16623,
        1.12642,
        1.115,
        1.14097,
        1.16612,
        1.18846,
        1.16702,
        1.1136,
        1.15031,
        1.16304,
        1.1284,
        1.12618,
        1.13715,
        1.1319,
        1.14168,
        1.13591,
        1.15341,
        1.15412,
        1.15803,
        1.17291,
        1.16308,
        1.11706,
        1.13725,
        1.14456,
        1.16095,
        1.15999,
        1.14972,
        1.15074,
        1.15341,
        1.1459,
        1.15367,
        1.15197,
        1.16268,
        1.16248,
        1.16359,
        1.1628,
        1.16439,
        1.18567,
        1.17814,
        1.18018,
        1.16768,
        1.16368,
        1.15133,
        1.15489,
        1.16166,
        1.1689,
        1.16877,
        1.16596,
        1.16529,
        1.15615,
        1.1689,
        1.16007,
        1.13584,
        1.14068,
        1.13407,
        1.17729,
        1.20474,
        1.17144,
        1.16271,
        1.17391,
        1.1879,
        1.16972,
        1.16268,
        1.1801,
        1.19236,
        1.18593,
        1.19371,
        1.16599,
        1.15076,
        1.16325,
        1.20163,
        1.19858,
        1.17081,
        1.18494,
        1.16236,
        1.12199,
        1.13188,
        1.17772,
        1.10346,
        1.00599,
        1.19783,
        1.20969,
        1.19966,
        1.16136,
        1.20421,
        1.28478,
        1.257,
        1.2632,
        1.25001,
        1.25039,
        1.25734,
        1.29693,
        1.30141,
        1.3129,
        1.29815,
        1.24627,
        1.25897,
        1.2585,
        1.18362,
        1.20656,
        1.25414,
        1.22646,
        1.22433,
        1.23754,
        1.21143,
        1.16524,
        1.15624,
        1.11257,
        1.03378,
        0.968055,
        0.949128,
        0.884348,
        0.813159,
        0.779771,
        0.751033,
        0.758299,
        0.81388,
        0.867646,
        0.861656,
        0.883493,
        0.953299,
        1.02151,
        1.11316,
        1.16791,
        1.18987,
        1.20342,
        1.20713,
        1.23236,
        1.25988,
        1.26984,
        1.29142,
        1.3329,
        1.32259,
        1.31087,
        1.29092,
        1.30706,
        1.30451,
        1.29847,
        1.28458,
        1.26158,
        1.25638,
        1.25278,
        1.25809,
        1.24741,
        1.24104,
        1.23627,
        1.26516,
        1.2418,
        1.23005,
        1.22135,
        1.23221,
        1.23881,
        1.22775,
        1.21953,
        1.20246,
        1.2124,
        1.22229,
        1.18658,
        1.18158,
        1.17828,
        1.18045,
        1.18628,
        1.18109,
        1.20908,
        1.18929,
        1.17388,
        1.17571,
        1.17832,
        1.16368,
        1.16971,
        1.18572,
        1.13582,
        1.10981,
        1.10948,
        1.13898,
        1.14863,
        1.13737,
        1.11812,
        1.1382,
        1.19027,
        1.16474,
        1.13477,
        1.13483,
        1.17272,
        1.144,
        1.12215,
        1.13744,
        1.15034,
        1.1603,
        1.15881,
        1.18603,
        1.15013,
        1.14596,
        1.11632,
        1.11553,
        1.13524,
        1.14231,
        1.13958,
        1.12547,
        1.12343,
        1.15694,
        1.16263,
        1.12923,
        1.13862,
        1.12962,
        1.1382,
        1.14694,
        1.13515,
        1.14998,
        1.16767,
        1.15641,
        1.17181,
        1.1845,
        1.15321,
        1.14846,
        1.15575,
        1.14561,
        1.15823,
        1.14823,
        1.13053,
        1.1325,
        1.15265,
        1.12844,
        1.14512,
        1.16247,
        1.17004,
        1.18555,
        1.20003,
        1.09732,
        1.14148,
        1.1527,
        1.12163,
        1.14889,
        1.2017,
        1.07734,
        1.06849,
        1.04239,
        1.07024,
        1.14987,
        1.14194,
        1.09516,
        1.12217,
        1.12767,
        1.16073,
        1.1119,
        1.14866,
        1.0878,
        1.10828,
        1.08803,
        1.06286,
        1.03483,
        1.10928,
        1.14765,
        1.16104,
        1.19593,
        1.18398,
        1.14427,
        1.11485,
        1.11226,
        1.12301,
        1.12827,
        1.1405,
        1.12871,
        1.14556,
        1.15292,
        1.15988,
        1.15287,
        1.14362,
        1.13422,
        1.13557,
        1.1264,
        1.11953,
        1.1175,
        1.12911,
        1.13527,
        1.12478,
        1.1231,
        1.12756,
        1.16168,
        1.14946,
        1.14555,
        1.16638,
        1.16847,
        1.16426,
        1.15511,
        1.15493,
        1.14444,
        1.18615,
        1.14393,
        1.13956,
        1.08304,
        1.1294,
        1.14768,
        1.14546,
        1.1828,
        1.17979,
        1.15343,
        1.17612,
        1.15187,
        1.16733,
        1.1475,
        1.15022,
        1.14971,
        1.14781,
        1.13592,
        1.15773,
        1.15231,
        1.15658,
        1.18103,
        1.1549,
        1.14096,
        1.16151,
        1.17185,
        1.16703,
        1.17807,
        1.18058,
        1.19443,
        1.1671,
        1.16164,
        1.16453,
        1.15086,
        1.16017,
        1.153,
        1.14392,
        1.1451,
        1.15814,
        1.16149,
        1.13863,
        1.14608,
        1.1563,
        1.13902,
        1.16598,
        1.14864,
        1.12924,
        1.1445,
        1.12846,
        1.14719,
        1.14903,
        1.14277,
        1.13576,
        1.15777,
        1.1383,
        1.14854,
        1.16122,
        1.16578,
        1.14332,
        1.14862,
        1.13739,
        1.13826,
        1.15207,
        1.16087,
        1.14267,
        1.14566,
        1.14427,
        1.14309,
        1.1421,
        1.14051,
        1.15642,
        1.17485,
        1.15963,
        1.15866,
        1.18005,
        1.15209,
        1.13627,
        1.13901,
        1.1369,
        1.15668,
        1.16654,
        1.13921,
        1.1539,
        1.14826,
        1.1669,
        1.16315,
        1.13192,
        1.14665,
        1.17657,
        1.14677,
        1.12791,
        1.13398,
        1.11899,
        1.15004,
        1.14709,
        1.14199,
        1.15822,
        1.16052,
        1.1433,
        1.14683,
        1.12348,
        1.11427,
        1.15131,
        1.17561,
        1.16378,
        1.1722,
        1.17799,
        1.16667,
        1.16344,
        1.1744,
        1.16774,
        1.17401,
        1.17942,
        1.16611,
        1.17823,
        1.15763,
        1.1743,
        1.17884,
        1.16721,
        1.15799,
        1.16731,
        1.14715,
        1.17355,
        1.1561,
        1.17756,
        1.16983,
        1.18253,
        1.18079,
        1.19499,
        1.19616,
        1.19059,
        1.1952,
        1.19334,
        1.16994,
        1.14032,
        1.15451,
        1.18416,
        1.20177,
        1.19594,
        1.19285,
        1.19337,
        1.19506,
        1.20092,
        1.19031,
        1.18994,
        1.21574,
        1.19188,
        1.1987,
        1.22006,
        1.2257,
        1.20713,
        1.20465,
        1.20726,
        1.21192,
        1.23413,
        1.19654,
        1.20437,
        1.21511,
        1.18657,
        1.22534,
        1.26712,
        1.25247,
        1.1923,
        1.18281,
        1.07373,
        1.14146,
        1.04638,
        1.15734,
        1.11336,
        1.22815,
        1.27982,
        1.27887,
        1.28338,
        1.23715,
        1.21013,
        1.21773,
        1.27211,
        1.28737,
        1.28263,
        1.26704,
        1.28346,
        1.28303,
        1.30026,
        1.29842,
        1.25853,
        1.24788,
        1.24048,
        1.22359,
        1.20123,
        1.20302,
        1.21408,
        1.20025,
        1.19651,
        1.16432,
        1.14509,
        1.10986,
        1.06703,
        1.00958,
        0.948316,
        0.873818,
        0.834333,
        0.799506,
        0.774927,
        0.777261,
        0.799599,
        0.82668,
        0.86356,
        0.908796,
        0.943556,
        0.963947,
        1.02136,
        1.06359,
        1.09648,
        1.14691,
        1.21632,
        1.25306,
        1.25441,
        1.28107,
        1.26191,
        1.26773,
        1.26905,
        1.2719,
        1.28354,
        1.30817,
        1.28551,
        1.26624,
        1.27707,
        1.27595,
        1.26108,
        1.27513,
        1.2712,
        1.25639,
        1.25924,
        1.24379,
        1.24966,
        1.25006,
        1.25342,
        1.23372,
        1.23908,
        1.2321,
        1.24013,
        1.21544,
        1.21629,
        1.20541,
        1.21021,
        1.21275,
        1.22613,
        1.21547,
        1.23261,
        1.21977,
        1.21596,
        1.20311,
        1.19008,
        1.21123,
        1.17682,
        1.16728,
        1.18154,
        1.19386,
        1.17671,
        1.18936,
        1.18627,
        1.19266,
        1.18771,
        1.19805,
        1.19922,
        1.1968,
        1.16733,
        1.15863,
        1.17041,
        1.16087,
        1.18643,
        1.16452,
        1.13481,
        1.1395,
        1.16316,
        1.15007,
        1.13929,
        1.1514,
        1.13406,
        1.14761,
        1.17252,
        1.17253,
        1.15981,
        1.17343,
        1.1445,
        1.13875,
        1.09917,
        1.1258,
        1.13701,
        1.1553,
        1.15331,
        1.13012,
        1.15623,
        1.1841,
        1.18085,
        1.15107,
        1.13546,
        1.14084,
        1.14488,
        1.15279,
        1.16218,
        1.15999,
        1.14988,
        1.15032,
        1.15131,
        1.14414,
        1.13611,
        1.13973,
        1.13113,
        1.11952,
        1.14695,
        1.16083,
        1.1533,
        1.14152,
        1.1796,
        1.15762,
        1.15571,
        1.13231,
        1.13241,
        1.13516,
        1.13991,
        1.14751,
        1.1571,
        1.1675,
        1.14874,
        1.17171,
        1.15313,
        1.14161,
        1.15677,
        1.14758,
        1.14284,
        1.157,
        1.13288,
        1.12582,
        1.14759,
        1.16446,
        1.13481,
        1.11209,
        1.1411,
        1.14984,
        1.15712,
        1.17226,
        1.15468,
        1.13614,
        1.15118,
        1.18742,
        1.19831,
        1.16849,
        1.15716,
        1.1532,
        1.12893,
        1.10729,
        1.14004,
        1.15181,
        1.16196,
        1.15191,
        1.14323,
        1.16116,
        1.14501,
        1.1464,
        1.16508,
        1.13434,
        1.13007,
        1.16663,
        1.17747,
        1.19427,
        1.15601,
        1.15294,
        1.12995,
        1.15233,
        1.1998,
        1.17868,
        1.14108,
        1.10621,
        1.15237,
        1.14997,
        1.13443,
        1.11231,
        1.16509,
        1.1531,
        1.13569,
        1.12845,
        1.14404,
        1.16963,
        1.1649,
        1.17068,
        1.16225,
        1.15753,
        1.18134,
        1.17122,
        1.15434,
        1.1734,
        1.1627,
        1.14858,
        1.13516,
        1.16525,
        1.16145,
        1.15514,
        1.15711,
        1.14086,
        1.13541,
        1.1471,
        1.16051,
        1.13099,
        1.14085,
        1.15357,
        1.15446,
        1.13738,
        1.16226,
        1.15565,
        1.14297,
        1.15171,
        1.15306,
        1.13181,
        1.13835,
        1.13748,
        1.15703,
        1.15477,
        1.13813,
        1.13345,
        1.16161,
        1.17005,
        1.15411,
        1.15856,
        1.16884,
        1.16565,
        1.14629,
        1.15574,
        1.15592,
        1.14223,
        1.14262,
        1.15753,
        1.16121,
        1.15365,
        1.13919,
        1.14905,
        1.17077,
        1.18341,
        1.18146,
        1.14633,
        1.15835,
        1.15769,
        1.13614,
        1.14605,
        1.15413,
        1.17378,
        1.16588,
        1.16808,
        1.15904,
        1.15191,
        1.15664,
        1.16813,
        1.15776,
        1.14757,
        1.16596,
        1.15124,
        1.13239,
        1.11983,
        1.14629,
        1.15059,
        1.13911,
        1.12588,
        1.14048,
        1.1445,
        1.13475,
        1.15877,
        1.17087,
        1.14653,
        1.1585,
        1.15731,
        1.14658,
        1.14579,
        1.15518,
        1.18315,
        1.17751,
        1.16239,
        1.16902,
        1.15918,
        1.15875,
        1.16502,
        1.12343,
        1.11223,
        1.12179,
        1.15544,
        1.16653,
        1.16159,
        1.11922,
        1.16358,
        1.16179,
        1.13267,
        1.13881,
        1.14811,
        1.15447,
        1.16135,
        1.17809,
        1.15626,
        1.15209,
        1.13816,
        1.12842,
        1.161,
        1.13383,
        1.15696,
        1.16108,
        1.19856,
        1.19709,
        1.2037,
        1.14807,
        1.13298,
        1.1572,
        1.17246,
        1.17492,
        1.17842,
        1.18297,
        1.1945,
        1.20909,
        1.17461,
        1.17618,
        1.15788,
        1.165,
        1.17625,
        1.15219,
        1.14384,
        1.18126,
        1.19527,
        1.1949,
        1.18151,
        1.20108,
        1.18017,
        1.17214,
        1.18449,
        1.1993,
        1.17505,
        1.17836,
        1.17003,
        1.18551,
        1.19485,
        1.16884,
        1.16105,
        1.14506,
        1.16859,
        1.17376,
        1.18428,
        1.17817,
        1.18397,
        1.18671,
        1.15684,
        1.16607,
        1.17669,
        1.15824,
        1.19071,
        1.19631,
        1.14713,
        1.17154,
        1.15278,
        1.2257,
        1.22148,
        1.10253,
        1.21485,
        1.0355,
        1.14962,
        1.11095,
        1.09792,
        1.25266,
        1.21115,
        1.2131,
        1.25563,
        1.22775,
        1.18577,
        1.18838,
        1.24855,
        1.24372,
        1.2432,
        1.21841,
        1.21967,
        1.244,
        1.23937,
        1.20285,
        1.19557,
        1.23261,
        1.17371,
        1.18326,
        1.16735,
        1.15839,
        1.18102,
        1.10973,
        1.09261,
        1.10423,
        1.07645,
        1.05359,
        0.99842,
        0.953246,
        0.898768,
        0.833691,
        0.78342,
        0.75475,
        0.74668,
        0.784055,
        0.817634,
        0.836677,
        0.833768,
        0.862482,
        0.906558,
        0.952341,
        1.0073,
        1.06504,
        1.08579,
        1.16142,
        1.16215,
        1.17065,
        1.19733,
        1.23207,
        1.25125,
        1.26786,
        1.25151,
        1.22895,
        1.23587,
        1.24681,
        1.22859,
        1.20839,
        1.23987,
        1.27691,
        1.24555,
        1.2441,
        1.26402,
        1.26024,
        1.26774,
        1.24504,
        1.24412,
        1.23754,
        1.21915,
        1.19507,
        1.20252,
        1.21859,
        1.21913,
        1.21885,
        1.21044,
        1.20443,
        1.21422,
        1.21019,
        1.19831,
        1.1799,
        1.17741,
        1.18901,
        1.19624,
        1.19441,
        1.17144,
        1.16637,
        1.14775,
        1.19296,
        1.18975,
        1.17889,
        1.17396,
        1.16522,
        1.1708,
        1.18491,
        1.1943,
        1.18273,
        1.1835,
        1.17461,
        1.16346,
        1.16515,
        1.17476,
        1.17649,
        1.17046,
        1.15566,
        1.16719,
        1.18405,
        1.18173,
        1.18531,
        1.18463,
        1.19192,
        1.16161,
        1.16838,
        1.16302,
        1.16422,
        1.16991,
        1.1622,
        1.16689,
        1.1642,
        1.15623,
        1.14095,
        1.14264,
        1.15869,
        1.16764,
        1.16367,
        1.1752,
        1.18335,
        1.15323,
        1.14285,
        1.14659,
        1.16373,
        1.16045,
        1.12092,
        1.14608,
        1.17617,
        1.17365,
        1.15627,
        1.17258,
        1.17566,
        1.15392,
        1.13337,
        1.12802,
        1.15897,
        1.15386,
        1.14231,
        1.15524,
        1.15577,
        1.14395,
        1.1425,
        1.15047,
        1.15593,
        1.128,
        1.14256,
        1.14457,
        1.12994,
        1.14973,
        1.12819,
        1.11795,
        1.12497,
        1.14124,
        1.12952,
        1.13785,
        1.15345,
        1.15193,
        1.13988,
        1.14473,
        1.15577,
        1.13168,
        1.14626,
        1.1485,
        1.14091,
        1.14017,
        1.16501,
        1.15532,
        1.141,
        1.15272,
        1.15205,
        1.14169,
        1.14024,
        1.13506,
        1.14317,
        1.16553,
        1.15525,
        1.16512,
        1.14302,
        1.15239,
        1.14482,
        1.16607,
        1.13215,
        1.12275,
        1.12233,
        1.16284,
        1.14451,
        1.12934,
        1.15719,
        1.1745,
        1.16392,
        1.13475,
        1.12881,
        1.12558,
        1.15493,
        1.13557,
        1.11744,
        1.12001,
        1.13384,
        1.15163,
        1.15269,
        1.13278,
        1.13957,
        1.14747,
        1.1618,
        1.15194,
        1.12664,
        1.12762,
        1.14387,
        1.14189,
        1.1458,
        1.12677,
        1.14183,
        1.15105,
        1.1428,
        1.15458,
        1.13212,
        1.17146,
        1.17927,
        1.18088,
        1.16884,
        1.19158,
        1.17221,
        1.158,
        1.13821,
        1.17149,
        1.1302,
        1.11957,
        1.15983,
        1.1665,
        1.17885,
        1.21089,
        1.15947,
        1.10852,
        1.17197,
        1.28271,
        1.06577,
        1.18237,
        1.02251,
        1.28367,
        1.13871,
        1.11612,
        1.13796,
        1.14563,
        1.1674,
        1.16537,
        1.18005,
        1.18367,
        1.16364,
        1.17097,
        1.15207,
        1.15888,
        1.15079,
        1.15915,
        1.16854,
        1.18977,
        1.16282,
        1.20073,
        1.18869,
        1.16064,
        1.13401,
        1.19397,
        1.19992,
        1.20703,
        1.16979,
        1.18037,
        1.17313,
        1.16527,
        1.17377,
        1.18289,
        1.19113,
        1.1675,
        1.17652,
        1.19258,
        1.18228,
        1.17457,
        1.16424,
        1.16634,
        1.18148,
        1.17446,
        1.18971,
        1.17668,
        1.18366,
        1.16697,
        1.18524,
        1.20746,
        1.19863,
        1.21286,
        1.20449,
        1.17736,
        1.14767,
        1.16208,
        1.17157,
        1.16095,
        1.1729,
        1.18645,
        1.23594,
        1.20211,
        1.18393,
        1.15072,
        1.10771,
        1.14803,
        1.1311,
        1.17171,
        1.14886,
        1.17457,
        1.16554,
        1.19453,
        1.17922,
        1.1979,
        1.18235,
        1.18057,
        1.18148,
        1.17233,
        1.18343,
        1.21355,
        1.21629,
        1.15364,
        1.1974,
        1.18854,
        1.19924,
        1.21124,
        1.16719,
        1.21098,
        1.17575,
        1.17024,
        1.17983,
        1.20252,
        1.20228,
        1.18463,
        1.18162,
        1.17293,
        1.19762,
        1.20475,
        1.18528,
        1.19635,
        1.18764,
        1.20277,
        1.19961,
        1.17336,
        1.17201,
        1.13285,
        1.12642,
        1.11197,
        1.12163,
        1.13834,
        1.13146,
        1.15959,
        1.17083,
        1.17878,
        1.14574,
        1.166,
        1.19079,
        1.20509,
        1.21956,
        1.17594,
        1.19614,
        1.20066,
        1.19878,
        1.19112,
        1.1729,
        1.19301,
        1.18311,
        1.18331,
        1.16492,
        1.17467,
        1.19187,
        1.17784,
        1.17852,
        1.14856,
        1.1717,
        1.16794,
        1.18226,
        1.16323,
        1.16938,
        1.1798,
        1.17291,
        1.13517,
        1.12567,
        1.16901,
        1.17507,
        1.19066,
        1.19773,
        1.13895,
        1.12791,
        1.12686,
        1.11895,
        1.13581,
        1.14457,
        1.14753,
        1.12653,
        1.16699,
        1.14699,
        1.20645,
        1.23426,
        1.205,
        1.161,
        1.16221,
        1.17307,
        1.27786,
        1.41044,
        1.30932,
        1.05723,
        1.44684,
        1.4151,
        1.1362,
        1.04992,
        1.04957,
        1.11874,
        1.24345,
        1.23615,
        1.19475,
        1.23399,
        1.26215,
        1.23382,
        1.26205,
        1.15197,
        1.19566,
        1.32599,
        1.22181,
        1.07747,
        1.21924,
        1.56059,
        0.823749,
        0.856915,
        1.04108,
        1.09151,
        0.925425,
        0.831787,
        0.840152,
        0.806308,
        0.80435,
        0.668285,
        0.763584,
        0.798993,
        0.822193,
        0.894687,
        0.886439,
        0.919515,
        1.01245,
        1.02338,
        1.0824,
        1.09194,
        1.15553,
        1.18555,
        1.20989,
        1.26088,
        1.25972,
        1.24431,
        1.25039,
        1.26022,
        1.29042,
        1.31353,
        1.25769,
        1.26658,
        1.27109,
        1.25838,
        1.23427,
        1.23214,
        1.26761,
        1.22009,
        1.23746,
        1.21868,
        1.22081,
        1.21623,
        1.2376,
        1.25867,
        1.22797,
        1.19962,
        1.23863,
        1.21401,
        1.24594,
        1.23289,
        1.21266,
        1.21366,
        1.21973,
        1.21031,
        1.2047,
        1.21465,
        1.22161,
        1.20414,
        1.18904,
        1.19625,
        1.21449,
        1.21823,
        1.21266,
        1.19676,
        1.18699,
        1.19905,
        1.20269,
        1.20617,
        1.17843,
        1.15223,
        1.18785,
        1.17626,
        1.16411,
        1.17004,
        1.16706,
        1.17093,
        1.16554,
        1.16541,
        1.19953,
        1.1738,
        1.17945,
        1.14525,
        1.14832,
        1.18544,
        1.19538,
        1.17983,
        1.18338,
        1.15038,
        1.13431,
        1.15786,
        1.14079,
        1.16785,
        1.12747,
        1.12293,
        1.16126,
        1.13768,
        1.1487,
        1.14147,
        1.13451,
        1.1598,
        1.16084,
        1.15113,
        1.1644,
        1.14383,
        1.14298,
        1.16779,
        1.16294,
        1.16355,
        1.18125,
        1.16456,
        1.18193,
        1.17564,
        1.15834,
        1.16096,
        1.16033,
        1.17064,
        1.12386,
        1.14054,
        1.1176,
        1.17075,
        1.12255,
        1.17923,
        1.15213,
        1.1279,
        1.15248,
        1.12481,
        1.1663,
        1.15132,
        1.1435,
        1.10057,
        1.16893,
        1.1503,
        1.15945,
        1.15275,
        1.1428,
        1.17028,
        1.18425,
        1.14643,
        1.14585,
        1.12123,
        1.14483,
        1.18441,
        1.1716,
        1.12802,
        1.12508,
        1.18353,
        1.14603,
        1.14938,
        1.15856,
        1.14646,
        1.16219,
        1.16251,
        1.1619,
        1.16586,
        1.17732,
        1.17451,
        1.18007,
        1.18573,
        1.17902,
        1.17346,
        1.15577,
        1.15101,
        1.14791,
        1.14213,
        1.18616,
        1.17973,
        1.19839,
        1.17069,
        1.21445,
        1.17455,
        1.22387,
        1.14549,
        1.15309,
        1.18094,
        1.14606,
        1.15969,
        1.14174,
        1.17091,
        1.14846,
        1.1553,
        1.21221,
        1.18655,
        1.18219,
        1.13478,
        1.16851,
        1.15872,
        1.16125,
        1.14097,
        1.1417,
        1.17419,
        1.15976,
        1.11871,
        1.18135,
        1.1677,
        1.16909,
        1.16704,
        1.16007,
        1.15676,
        1.20653,
        1.14471,
        1.17915,
        1.16982,
        1.15136,
        1.19517,
        1.18845,
        1.15785,
        1.1672,
        1.13611,
        1.14658,
        1.1567,
        1.15963,
        1.15379,
        1.18854,
        1.14508,
        1.16469,
        1.16285,
        1.16005,
        1.17075,
        1.20514,
        1.17912,
        1.14857,
        1.14529,
        1.16986,
        1.16339,
        1.15117,
        1.13685,
        1.15973,
        1.15804,
        1.18343,
        1.15335,
        1.18944,
        1.18185,
        1.15738,
        1.15853,
        1.1851,
        1.15895,
        1.15509,
        1.16667,
        1.15911,
        1.18207,
        1.21579,
        1.19898,
        1.20857,
        1.22751,
        1.18906,
        1.12919,
        1.14439,
        1.12338,
        1.14118,
        1.11925,
        1.15469,
        1.15939,
        1.14976,
        1.15246,
        1.18636,
        1.17809,
        1.17147,
        1.11905,
        1.12096,
        1.17617,
        1.19074,
        1.16601,
        1.16248,
        1.14291,
        1.15724,
        1.17374,
        1.16799,
        1.1881,
        1.16297,
        1.16958,
        1.19165,
        1.17522,
        1.20223,
        1.19643,
        1.17055,
        1.1999,
        1.178,
        1.18502,
        1.17164,
        1.16877,
        1.13131,
        1.14671,
        1.15115,
        1.18086,
        1.19319,
        1.17546,
        1.15286,
        1.18902,
        1.17799,
        1.15267,
        1.15429,
        1.16,
        1.17596,
        1.15996,
        1.15391,
        1.14682,
        1.12911,
        1.13789,
        1.15015,
        1.1454,
        1.1394,
        1.10807,
        1.14819,
        1.17412,
        1.15448,
        1.14708,
        1.14199,
        1.13277,
        1.14524,
        1.15666,
        1.15407,
        1.13761,
        1.15812,
        1.1711,
        1.18045,
        1.17728,
        1.17428,
        1.15791,
        1.16202,
        1.15264,
        1.13949,
        1.15538,
        1.14566,
        1.14372,
        1.13944,
        1.14563,
        1.16504,
        1.14466,
        1.14521,
        1.17882,
        1.14713,
        1.13023,
        1.11096,
        1.13835,
        1.14386,
        1.12931,
        1.16568,
        1.18174,
        1.17618,
        1.10388,
        1.12984,
        1.16159,
        1.17551,
        1.1485,
        1.12782,
        1.14238,
        1.15703,
        1.14753,
        1.15398,
        1.15824,
        1.18203,
        1.13587,
        1.18173,
        1.15035,
        1.15695,
        1.15103,
        1.18184,
        1.20103,
        1.19882,
        1.21396,
        1.14812,
        1.15877,
        1.14724,
        1.10819,
        1.09068,
        1.11744,
        1.16886,
        1.1482,
        1.15744,
        1.15053,
        1.16575,
        1.19348,
        1.17821,
        1.18285,
        1.18316,
        1.16738,
        1.18997,
        1.15183,
        1.21957,
        1.17579,
        1.18069,
        1.16771,
        1.17326,
        1.19793,
        1.20403,
        1.16632,
        1.12073,
        1.15952,
        1.27328,
        1.22236,
        1.19223,
        1.25891,
        1.22622,
        1.29605,
        1.35488,
        1.30622,
        1.39721,
        1.42233,
        1.42395,
        1.509,
        1.77347,
        1.64931,
        1.99012,
        0.872907,
        1.01431,
        1.05468,
        0.978266,
        1.01844,
        1.1683,
        1.17055,
        1.07449,
        1.08984,
        1.16281,
        1.16276,
        1.20796,
        1.22805,
        1.23439,
        1.21543,
        1.25962,
        1.24806,
        1.31308,
        1.25851,
        1.22319,
        1.22717,
        1.19844,
        1.17401,
        1.2293,
        1.29551,
        1.24031,
        1.14185,
        1.09514,
        1.015,
        0.938511,
        0.85435,
        0.785627,
        0.822353,
        0.870187,
        0.94507,
        0.935231,
        0.907527,
        0.849428,
        0.822945,
        0.8536,
        0.823851,
        0.826871,
        0.845401,
        0.876267,
        0.909212,
        0.908322,
        0.926399,
        0.967691,
        1.01016,
        1.07897,
        1.11119,
        1.15316,
        1.19114,
        1.17561,
        1.22178,
        1.23914,
        1.27177,
        1.27196,
        1.29125,
        1.28667,
        1.3062,
        1.24712,
        1.32898,
        1.31425,
        1.29696,
        1.28852,
        1.30709,
        1.30085,
        1.29727,
        1.23015,
        1.17734,
        1.17406,
        1.18279,
        1.20437,
        1.18939,
        1.18962,
        1.24832,
        1.23273,
        1.20755,
        1.21811,
        1.20244,
        1.19528,
        1.19529,
        1.20469,
        1.19893,
        1.20753,
        1.18198,
        1.17659,
        1.1934,
        1.21951,
        1.21427,
        1.20213,
        1.19164,
        1.20784,
        1.20079,
        1.16632,
        1.1665,
        null,
        1.17247,
        1.16049,
        1.16634,
        1.18413,
        1.20492,
        1.21176,
        1.20452,
        1.17287,
        1.20131,
        1.19126,
        1.18411,
        1.16093,
        1.17772,
        1.19562,
        1.17997,
        1.19277,
        1.17971,
        1.16391,
        1.16403,
        1.18182,
        1.18654,
        1.16796,
        1.18845,
        1.17847,
        1.15772,
        1.14732,
        1.16174,
        1.17129,
        1.15019,
        1.12194,
        1.15738,
        1.15698,
        1.15014,
        1.15472,
        1.15511,
        1.15325,
        1.16852,
        1.16751,
        1.17547,
        1.18894,
        1.20658,
        1.20782,
        1.19255,
        1.16351,
        1.15468,
        1.16712,
        1.17329,
        1.1762,
        1.16275,
        1.17603,
        1.17874,
        1.16728,
        1.17313,
        1.17279,
        1.17013,
        1.1595,
        1.17938,
        1.16892,
        1.16441,
        1.16169,
        1.16379,
        1.17734,
        1.16953,
        1.14574,
        1.1798,
        1.16651,
        1.16577,
        1.16279,
        1.16944,
        1.17388,
        1.18382,
        1.17444,
        1.16025,
        1.17774,
        1.19071,
        1.18851,
        1.16998,
        1.16989,
        1.1692,
        1.166,
        1.1793,
        1.18835,
        1.15667,
        1.16245,
        1.16775,
        1.16377,
        1.18899,
        1.16695,
        1.13924,
        1.15521,
        1.16545,
        1.16922,
        1.16567,
        1.15336,
        1.14904,
        1.14471,
        1.14688,
        1.17384,
        1.18481,
        1.17946,
        1.16902,
        1.16895,
        1.15996,
        1.15875,
        1.16212,
        1.15603,
        1.16895,
        1.18739,
        1.17928,
        1.17521,
        1.19249,
        1.19219,
        1.18267,
        1.16307,
        1.15851,
        1.16001,
        1.16952,
        1.1713,
        1.16079,
        1.17731,
        1.18632,
        1.18417,
        1.1854,
        1.17716,
        1.18163,
        1.16719,
        1.1728,
        1.15975,
        1.14174,
        1.17225,
        1.16999,
        1.18334,
        1.1736,
        1.19507,
        1.25553,
        1.25437,
        1.28296,
        1.26697,
        1.24969,
        1.26406,
        1.18291,
        1.11588,
        1.21215,
        1.24275,
        1.13906,
        1.15881,
        1.28613,
        1.21614,
        1.25519,
        1.29575,
        1.20316,
        1.1897,
        1.16449,
        1.14262,
        1.18275,
        1.21992,
        1.20454,
        1.21136,
        1.22602,
        1.24376,
        1.22501,
        1.22963,
        1.2345,
        1.24222,
        1.27463,
        1.27134,
        1.24886,
        1.23225,
        1.23206,
        1.2049,
        1.12847,
        0.968746,
        0.79274,
        0.666938,
        0.620565,
        0.717973,
        0.877566,
        0.936842,
        0.938251,
        0.904807,
        0.842219,
        0.814359,
        0.828065,
        0.858586,
        0.886571,
        0.889658,
        0.918813,
        0.972758,
        1.02118,
        1.05105,
        1.10657,
        1.16031,
        1.17017,
        1.19024,
        1.23511,
        1.24685,
        1.26545,
        1.27125,
        1.26235,
        1.27496,
        1.27031,
        1.2677,
        1.25062,
        1.25321,
        1.25763,
        1.27003,
        1.27524,
        1.2559,
        1.25032,
        1.22844,
        1.23235,
        1.24065,
        1.2394,
        1.23168,
        1.23755,
        1.23352,
        1.23101,
        1.21256,
        1.21447,
        1.19968,
        1.19155,
        1.18135,
        1.21113,
        1.21477,
        1.21205,
        1.20571,
        1.18636,
        1.18657,
        1.21343,
        1.20209,
        1.18586,
        1.1964,
        1.18647,
        1.20173,
        1.18937,
        1.17528,
        1.15517,
        1.18146,
        1.16846,
        1.17245,
        1.1837,
        1.16766,
        1.16191,
        1.17749,
        1.16557,
        1.17511,
        1.15999,
        1.15752,
        1.15243,
        1.17635,
        1.16332,
        1.15308,
        1.1711,
        1.19105,
        1.18873,
        1.21409,
        1.20336,
        1.17023,
        1.16997,
        1.17504,
        1.16855,
        1.17733,
        1.19249,
        1.18987,
        1.18307,
        1.17668,
        1.18427,
        1.19029,
        1.17431,
        1.16954,
        1.18754,
        1.1701,
        1.17499,
        1.18242,
        1.15807,
        1.16385,
        1.15661,
        1.16065,
        1.19602,
        1.18942,
        1.17324,
        1.15366,
        1.16726,
        1.16733,
        1.1627,
        1.17493,
        1.1659,
        1.17734,
        1.17116,
        1.16033,
        1.1639,
        1.14987,
        1.1581,
        1.16831,
        1.18436,
        1.19494,
        1.18255,
        1.17329,
        1.17094,
        1.18286,
        1.17719,
        1.15842,
        1.1506,
        1.14604,
        1.1556,
        1.1608,
        1.13141,
        1.14651,
        1.13542,
        1.13258,
        1.14933,
        1.15937,
        1.17349,
        1.18891,
        1.15821,
        1.14156,
        1.16801,
        1.1592,
        1.1728,
        1.18568,
        1.19564,
        1.18629,
        1.17157,
        1.1871,
        1.1653,
        1.17624,
        1.19709,
        1.19367,
        1.17763,
        1.16714,
        1.17364,
        1.18848,
        1.1892,
        1.19268,
        1.19676,
        1.1873,
        1.20976,
        1.20075,
        1.18506,
        1.14901,
        1.16534,
        1.16486,
        1.19659,
        1.19231,
        1.20521,
        1.2105,
        1.19044,
        1.18836,
        1.19442,
        1.20926,
        1.22677,
        1.20861,
        1.24658,
        1.26273,
        1.36276,
        1.29122,
        1.3413,
        1.05129,
        1.30871,
        1.17248,
        1.20175,
        1.25662,
        1.23231,
        1.17633,
        1.18315,
        1.22878,
        1.17869,
        1.18364,
        1.18261,
        1.17352,
        1.17293,
        1.221,
        1.18389,
        1.1973,
        1.19654,
        1.18443,
        1.18292,
        1.20943,
        1.19551,
        1.18153,
        1.19457,
        1.18025,
        1.18106,
        1.1966,
        1.17369,
        1.19229,
        1.19299,
        1.19528,
        1.20405,
        1.19796,
        1.19572,
        1.20311,
        1.21179,
        1.18236,
        1.17004,
        1.16688,
        1.18397,
        1.20162,
        1.19553,
        1.17935,
        1.19996,
        1.20562,
        1.18094,
        1.18559,
        1.18981,
        1.19419,
        1.21065,
        1.20044,
        1.2061,
        1.17164,
        1.18709,
        1.18133,
        1.18887,
        1.19541,
        1.19671,
        1.19329,
        1.18531,
        1.19839,
        1.1912,
        1.16932,
        1.18073,
        1.20478,
        1.17658,
        1.18392,
        1.20781,
        1.20568,
        1.18286,
        1.18258,
        1.18432,
        1.16498,
        1.15914,
        1.1517,
        1.16748,
        1.18513,
        1.19434,
        1.19791,
        1.20154,
        1.20702,
        1.19965,
        1.20321,
        1.20292,
        1.1925,
        1.20177,
        1.20747,
        1.20586,
        1.22198,
        1.21139,
        1.18086,
        1.18134,
        1.18969,
        1.19744,
        1.17647,
        1.17334,
        1.1561,
        1.17356,
        1.20905,
        1.20257,
        1.16704,
        1.18569,
        1.20308,
        1.21171,
        1.18932,
        1.14287,
        1.17939,
        1.18756,
        1.18404,
        1.17038,
        1.16828,
        1.15033,
        1.15256,
        1.17448,
        1.1869,
        1.17799,
        1.18863,
        1.19122,
        1.18051,
        1.19125,
        1.18544,
        1.19661,
        1.20642,
        1.20215,
        1.20331,
        1.17033,
        1.17429,
        1.16827,
        1.16643,
        1.18915,
        1.18391,
        1.16458,
        1.17904,
        1.21714,
        1.19927,
        1.2185,
        1.21872,
        1.2121,
        1.19617,
        1.19587,
        1.20229,
        1.21746,
        1.17892,
        1.18448,
        1.19556,
        1.21698,
        1.24395,
        1.21058,
        1.20292,
        1.22653,
        1.21478,
        1.20354,
        1.1935,
        1.19654,
        1.20359,
        1.21713,
        1.20574,
        1.20373,
        1.21142,
        1.19767,
        1.17516,
        1.20055,
        1.20666,
        1.22478,
        1.23621,
        1.22923,
        1.24447,
        1.23626,
        1.22637,
        1.20176,
        1.2143,
        1.24799,
        1.22357,
        1.23744,
        1.22196,
        1.22237,
        1.17603,
        1.24643,
        1.30387,
        1.34643,
        1.11022,
        1.18755,
        1.16703,
        1.11018,
        1.22834,
        1.24015,
        1.18789,
        1.24717,
        1.23712,
        1.24864,
        1.24663,
        1.23179,
        1.22117,
        1.23989,
        1.24994,
        1.25645,
        1.26977,
        1.25742,
        1.24054,
        1.25236,
        1.2353,
        1.25098,
        1.26111,
        1.22727,
        1.23524,
        1.24255,
        1.22739,
        1.15604,
        1.04568,
        0.894183,
        0.699451,
        0.591243,
        0.636868,
        0.80732,
        0.974702,
        1.02545,
        0.992865,
        0.953338,
        0.913954,
        0.908879,
        0.919123,
        0.921048,
        0.957973,
        1.00044,
        1.01337,
        1.04373,
        1.08109,
        1.0951,
        1.11306,
        1.18552,
        1.20777,
        1.23779,
        1.26392,
        1.26941,
        1.26869,
        1.27486,
        1.28054,
        1.29196,
        1.29234,
        1.28315,
        1.28798,
        1.2745,
        1.28173,
        1.26809,
        1.27076,
        1.26033,
        1.26605,
        1.27757,
        1.27808,
        1.26103,
        1.25337,
        1.28114,
        1.27275,
        1.26739,
        1.25594,
        1.25832,
        1.2419,
        1.22941,
        1.23999,
        1.25789,
        1.26377,
        1.25682,
        1.24138,
        1.23166,
        1.23505,
        1.2408,
        1.24738,
        1.23739,
        1.23784,
        1.22152,
        1.21518,
        1.21016,
        1.22264,
        1.22878,
        1.20757,
        1.20394,
        1.20093,
        1.20057,
        1.18923,
        1.18593,
        1.19319,
        1.19785,
        1.19826,
        1.20747,
        1.21188,
        1.19439,
        1.19612,
        1.20386,
        1.21708,
        1.22497,
        1.22123,
        1.22021,
        1.23914,
        1.23755,
        1.22711,
        1.22233,
        1.21916,
        1.22156,
        1.21584,
        1.21785,
        1.23507,
        1.22626,
        1.2296,
        1.22554,
        1.23088,
        1.2306,
        1.23604,
        1.24746,
        1.22739,
        1.24143,
        1.21959,
        1.23059,
        1.24327,
        1.23611,
        1.22752,
        1.26049,
        1.23298,
        1.25206,
        1.25325,
        1.24521,
        1.24117,
        1.25336,
        1.28392,
        1.26447,
        1.25996,
        1.24274,
        1.26017,
        1.24813,
        1.24547,
        1.25347,
        1.27045,
        1.26467,
        1.27295,
        1.27748,
        1.27868,
        1.27923,
        1.27,
        1.27325,
        1.27934,
        1.27807,
        1.26526,
        1.27575,
        1.28402,
        1.26356,
        1.25631,
        1.26346,
        1.28503,
        1.28802,
        1.27585,
        1.30108,
        1.26756,
        1.28914,
        1.29563,
        1.29408,
        1.26724,
        1.27361,
        1.28977,
        1.29931,
        1.2713,
        1.26229,
        1.29189,
        1.30058,
        1.29665,
        1.2744,
        1.27863,
        1.30258,
        1.31335,
        1.31067,
        1.30154,
        1.29598,
        1.30009,
        1.28293,
        1.29067,
        1.2808,
        1.27394,
        1.29099,
        1.29328,
        1.298,
        1.29617,
        1.29892,
        1.29009,
        1.29081,
        1.30478,
        1.30861,
        1.30684,
        1.30409,
        1.31289,
        1.30113,
        1.31396,
        1.30576,
        1.28879,
        1.30261,
        1.31126,
        1.32226,
        1.31107,
        1.3142,
        1.29705,
        1.29412,
        1.28168,
        1.29636,
        1.28238,
        1.28383,
        1.29249,
        1.27706,
        1.285,
        1.28887,
        1.29344,
        1.28092,
        1.28623,
        1.27135,
        1.30101,
        1.2901,
        1.27334,
        1.28062,
        1.29278,
        1.27845,
        1.29404,
        1.29351,
        1.27595,
        1.26924,
        1.275,
        1.29108,
        1.31698,
        1.31571,
        1.28885,
        1.30083,
        1.29818,
        1.30286,
        1.28534,
        1.27294,
        1.2724,
        1.26507,
        1.26903,
        1.27373,
        1.27432,
        1.27632,
        1.27911,
        1.29006,
        1.27685,
        1.27076,
        1.28028,
        1.28489,
        1.30233,
        1.27055,
        1.27855,
        1.29261,
        1.27437,
        1.26098,
        1.29292,
        1.2696,
        1.26972,
        1.23842,
        1.28021,
        1.2631,
        1.25107,
        1.27206,
        1.29364,
        1.32289,
        1.32328,
        1.30734,
        1.29244,
        1.28686,
        1.27884,
        1.2878,
        1.30149,
        1.30533,
        1.29026,
        1.27002,
        1.2511,
        1.26724,
        1.25066,
        1.2671,
        1.27693,
        1.25566,
        1.26543,
        1.33102,
        1.32679,
        1.29252,
        1.28002,
        1.30055,
        1.3008,
        1.29913,
        1.30108,
        1.28012,
        1.27188,
        1.29557,
        1.26134,
        1.24478,
        1.26801,
        1.28447,
        1.27915,
        1.27402,
        1.25826,
        1.25647,
        1.25589,
        1.2857,
        1.29232,
        1.2824,
        1.27553,
        1.26113,
        1.25924,
        1.27658,
        1.28402,
        1.27806,
        1.26597,
        1.25605,
        1.19532,
        1.27086,
        1.24675,
        1.26807,
        1.25768,
        1.26148,
        1.25241,
        1.24115,
        1.23779,
        1.21861,
        1.21874,
        1.24477,
        1.23563,
        1.26066,
        1.27326,
        1.26362,
        1.24129,
        1.24267,
        1.22543,
        1.24247,
        1.26194,
        1.24138,
        1.25995,
        1.24637,
        1.22696,
        1.24456,
        1.23742,
        1.24472,
        1.26863,
        1.24911,
        1.24326,
        1.23649,
        1.24829,
        1.24503,
        1.26642,
        1.27315,
        1.21121,
        1.18121,
        1.22182,
        1.22715,
        1.22685,
        1.27563,
        1.25621,
        1.24634,
        1.23198,
        1.25267,
        1.22484,
        1.22145,
        1.17294,
        1.17585,
        1.24004,
        1.2373,
        1.13328,
        1.1753,
        1.13931,
        1.13228,
        0.947943,
        1.05939,
        1.10927,
        1.42314,
        1.22597,
        1.14691,
        1.22948,
        1.26008,
        1.24723,
        1.25797,
        1.23207,
        1.21193,
        1.22378,
        1.21834,
        1.24821,
        1.25425,
        1.21655,
        1.22613,
        1.20864,
        1.18495,
        1.19408,
        1.21552,
        1.17018,
        1.18191,
        1.20116,
        1.21369,
        1.24627,
        1.23067,
        1.25454,
        1.19815,
        1.18888,
        1.1951,
        1.21528,
        1.15614,
        1.16563,
        1.10728,
        1.14009,
        1.13771,
        1.01399,
        1.05683,
        1.22427,
        1.18148,
        1.16833,
        1.17947,
        1.19784,
        1.23278,
        1.22454,
        1.23806,
        1.22727,
        1.24401,
        1.24535,
        1.23511,
        1.22882,
        1.27843,
        1.26706,
        1.22661,
        1.23856,
        1.22866,
        1.24865,
        1.21008,
        1.20374,
        1.21642,
        1.23327,
        1.22433,
        1.19803,
        1.20313,
        1.19421,
        1.1375,
        1.10787,
        1.01339,
        0.841859,
        0.633043,
        0.527455,
        0.62232,
        0.860667,
        1.00167,
        1.01214,
        1.00433,
        0.974839,
        0.956833,
        0.969316,
        0.983524,
        0.982101,
        0.973066,
        0.987825,
        1.02119,
        1.03177,
        1.04145,
        1.06153,
        1.11136,
        1.14514,
        1.16667,
        1.19072,
        1.21166,
        1.22151,
        1.23695,
        1.22879,
        1.22068,
        1.22078,
        1.24366,
        1.23388,
        1.24014,
        1.24187,
        1.2329,
        1.23926,
        1.24611,
        1.22495,
        1.23652,
        1.22859,
        1.22492,
        1.21627,
        1.23351,
        1.2266,
        1.22245,
        1.20647,
        1.20171,
        1.18656,
        1.19585,
        1.20749,
        1.19261,
        1.20612,
        1.20814,
        1.20842,
        1.21297,
        1.22512,
        1.23006,
        1.213,
        1.22531,
        1.23462,
        1.21465,
        1.21054,
        1.21298,
        1.19458,
        1.19621,
        1.20331,
        1.17181,
        1.16346,
        1.17558,
        1.16995,
        1.17143,
        1.15604,
        1.18212,
        1.18852,
        1.18518,
        1.18618,
        1.19022,
        1.17984,
        1.19757,
        1.20754,
        1.17134,
        1.17919,
        1.17137,
        1.17646,
        1.17715,
        1.18557,
        1.16041,
        1.14177,
        1.16987,
        1.17511,
        1.18985,
        1.19288,
        1.17176,
        1.16497,
        1.19453,
        1.2026,
        1.18897,
        1.18513,
        1.16189,
        1.1827,
        1.18087,
        1.17301,
        1.16792,
        1.16822,
        1.18984,
        1.18358,
        1.18181,
        1.20059,
        1.23264,
        1.20184,
        1.16453,
        1.1822,
        1.17925,
        1.18108,
        1.19995,
        1.20164,
        1.17048,
        1.19439,
        1.15552,
        1.1904,
        1.19592,
        1.16486,
        1.20476,
        1.18808,
        1.1664,
        1.19479,
        1.17909,
        1.15623,
        1.17018,
        1.1789,
        1.22249,
        1.15288,
        1.20027,
        1.21714,
        1.16378,
        1.17788,
        1.2367,
        1.20363,
        1.11957,
        1.14575,
        1.09434,
        1.09018,
        1.18435,
        1.132,
        1.16682,
        1.29015,
        1.23589,
        1.07929,
        1.16633,
        1.1845,
        1.25762,
        1.40405,
        1.25996,
        1.28796,
        1.1588,
        1.20794,
        1.27156,
        1.20016,
        1.19012,
        1.195,
        1.22245,
        1.208,
        1.23607,
        1.23591,
        1.20403,
        1.1907,
        1.1694,
        1.16165,
        1.16802,
        1.19156,
        1.2118,
        1.19339,
        1.17036,
        1.17633,
        1.14458,
        1.14275,
        1.16423,
        1.18637,
        1.16448,
        1.18593,
        1.19709,
        1.19559,
        1.16998,
        1.20294,
        1.19007,
        1.14259,
        1.14815,
        1.17802,
        1.1652,
        1.15483,
        1.15412,
        1.16517,
        1.15374,
        1.16454,
        1.17099,
        1.13525,
        1.13931,
        1.14005,
        1.14243,
        1.16417,
        1.16169,
        1.15974,
        1.15099,
        1.14693,
        1.17946,
        1.15466,
        1.13978,
        1.15104,
        1.161,
        1.17984,
        1.16538,
        1.1566,
        1.17718,
        1.1736,
        1.18271,
        1.19138,
        1.15613,
        1.14015,
        1.17886,
        1.18331,
        1.20126,
        1.17187,
        1.15923,
        1.15115,
        1.13717,
        1.20109,
        1.16724,
        1.19104,
        1.2047,
        1.16986,
        1.17937,
        1.1876,
        1.20648,
        1.18179,
        1.17155,
        1.17902,
        1.17823,
        1.15625,
        1.16667,
        1.15238,
        1.17223,
        1.14506,
        1.14021,
        1.12892,
        1.1597,
        1.13631,
        1.15139,
        1.15422,
        1.16353,
        1.16005,
        1.16209,
        1.14609,
        1.15198,
        1.15033,
        1.13881,
        1.13984,
        1.14391,
        1.13642,
        1.13542,
        1.14579,
        1.16323,
        1.19377,
        1.19338,
        1.15631,
        1.15223,
        1.14824,
        1.17433,
        1.16843,
        1.13756,
        1.14125,
        1.14638,
        1.1601,
        1.15742,
        1.13662,
        1.14514,
        1.16529,
        1.1548,
        1.16892,
        1.16732,
        1.146,
        1.15996,
        1.15545,
        1.13934,
        1.14289,
        1.13827,
        1.15782,
        1.17152,
        1.13832,
        1.15527,
        1.14288,
        1.15043,
        1.1584,
        1.1662,
        1.17429,
        1.17742,
        1.16414,
        1.16312,
        1.17469,
        1.1495,
        1.16908,
        1.19099,
        1.17978,
        1.18123,
        1.16281,
        1.15766,
        1.15453,
        1.15579,
        1.164,
        1.16604,
        1.12704,
        1.13998,
        1.13866,
        1.13137,
        1.15269,
        1.12175,
        1.12025,
        1.13795,
        1.14278,
        1.12223,
        1.11671,
        1.14457,
        1.13483,
        1.13525,
        1.14622,
        1.15209,
        1.16721,
        1.15034,
        1.10551,
        1.12291,
        1.15453,
        1.1526,
        1.12521,
        1.13161,
        1.11544,
        1.11099,
        1.12892,
        1.14728,
        1.14856,
        1.1305,
        1.12675,
        1.123,
        1.13127,
        1.11147,
        1.12663,
        1.12647,
        1.09617,
        1.10615,
        1.12448,
        1.1239,
        1.1411,
        1.1229,
        1.11395,
        1.10897,
        1.09841,
        1.11196,
        1.11174,
        1.08292,
        1.04488,
        1.07694,
        1.07467,
        1.09489,
        1.09087,
        1.09333,
        1.10618,
        1.1052,
        1.10486,
        1.11522,
        1.0925,
        1.12496,
        1.10867,
        1.10393,
        1.12269,
        1.12694,
        1.1281,
        1.14284,
        1.13685,
        1.14025,
        1.13943,
        1.11481,
        1.11635,
        1.1155,
        1.13816,
        1.121,
        1.13035,
        1.14455,
        1.13977,
        1.15212,
        1.11702,
        1.14519,
        1.11824,
        1.09326,
        1.12183,
        1.114,
        1.11361,
        1.12664,
        1.13783,
        1.13946,
        1.11697,
        1.11616,
        1.11547,
        1.10619,
        1.09965,
        1.12163,
        1.11543,
        1.10511,
        1.1116,
        1.10747,
        1.12217,
        1.11214,
        1.13397,
        1.10364,
        1.11314,
        1.12463,
        1.12261,
        1.09159,
        1.08443,
        1.10909,
        1.12102,
        1.11925,
        1.11192,
        1.09437,
        1.12189,
        1.10669,
        1.11394,
        1.12247,
        1.11537,
        1.10888,
        1.10526,
        1.12436,
        1.10201,
        1.11745,
        1.1135,
        1.1018,
        1.12431,
        1.1264,
        1.10752,
        1.08783,
        1.09423,
        1.10371,
        1.10869,
        1.10192,
        1.09046,
        1.09674,
        1.13521,
        1.10952,
        1.08758,
        1.06873,
        1.08311,
        1.11132,
        1.09186,
        1.07901,
        1.11685,
        1.14572,
        1.10164,
        1.0851,
        1.11325,
        1.154,
        1.10264,
        1.10836,
        1.10397,
        1.05716,
        1.0788,
        1.04987,
        1.08616,
        1.12412,
        1.11882,
        1.1512,
        1.1456,
        1.11766,
        1.08425,
        1.09393,
        1.07495,
        1.0854,
        1.12374,
        1.13149,
        1.11653,
        1.12081,
        1.14795,
        1.10405,
        1.10887,
        1.10639,
        1.11675,
        1.10696,
        1.12429,
        1.10904,
        1.1068,
        1.10669,
        1.09301,
        1.1013,
        1.122,
        1.1001,
        1.08509,
        1.09342,
        1.12089,
        1.15074,
        1.12398,
        1.10129,
        1.10866,
        1.13154,
        1.1193,
        1.08433,
        1.09821,
        1.09406,
        1.0747,
        1.06306,
        1.09628,
        1.09958,
        1.12244,
        1.10939,
        1.1276,
        1.13284,
        1.14545,
        1.07607,
        1.07365,
        1.08558,
        1.08674,
        1.10322,
        1.11473,
        1.1146,
        1.10153,
        1.07046,
        1.09108,
        1.10706,
        1.08885,
        1.08685,
        1.08779,
        1.10083,
        1.10666,
        1.08495,
        1.06741,
        1.08175,
        1.09615,
        1.06384,
        1.07881,
        1.09685,
        1.08474,
        1.11991,
        1.08212,
        1.09325,
        1.11198,
        1.09024,
        1.11445,
        1.06426,
        1.07844,
        1.09376,
        1.10977,
        1.09896,
        1.11506,
        1.10051,
        1.12022,
        1.08159,
        1.10378,
        1.11117,
        1.10875,
        1.09641,
        1.1325,
        1.13112,
        1.11471,
        1.06284,
        1.08756,
        1.08149,
        1.10634,
        1.07407,
        1.061,
        1.0704,
        1.0746,
        1.08307,
        1.09016,
        1.08349,
        1.05432,
        1.07989,
        1.06177,
        1.05651,
        1.04146,
        1.0633,
        1.09564,
        1.09005,
        1.0507,
        1.07132,
        1.06118,
        1.09325,
        1.09127,
        1.04515,
        1.05942,
        1.0701,
        1.05503,
        1.03853,
        1.04991,
        1.07615,
        1.03245,
        1.06817,
        1.05196,
        1.0643,
        1.02734,
        1.04686,
        1.07029,
        1.08907,
        1.04959,
        1.04842,
        1.03425,
        1.0493,
        1.08354,
        1.04632,
        1.045,
        1.07842,
        1.06642,
        1.08076,
        1.06899,
        1.04612,
        1.04581,
        1.03391,
        1.06529,
        1.06498,
        1.06321,
        1.05934,
        1.0692,
        1.05136,
        1.01703,
        1.02655,
        1.00074,
        1.02063,
        1.00414,
        1.03487,
        1.04033,
        1.01304,
        1.05089,
        1.04292,
        1.00315,
        1.03242,
        0.982339,
        1.01603,
        1.03313,
        1.03104,
        1.01928,
        1.03434,
        1.04484,
        1.01058,
        1.02404,
        1.02938,
        1.02129,
        1.03581,
        1.01848,
        1.02362,
        1.01847,
        1.03624,
        1.03061,
        1.03046,
        1.02834,
        1.03227,
        1.02954,
        1.05211,
        1.054,
        1.04339,
        1.0101,
        1.03401,
        1.01428,
        1.03139,
        1.0176,
        1.01123,
        1.05098,
        1.01279,
        1.03476,
        1.02427,
        1.01741,
        1.02585,
        1.03595,
        1.02359,
        1.01679,
        1.00415,
        1.03471,
        1.05582,
        1.00922,
        1.00988,
        1.01032,
        1.02632,
        1.02517,
        1.06332,
        1.0488,
        1.03203,
        1.01895,
        1.02555,
        1.03786,
        1.02582,
        1.0165,
        1.02229,
        1.03419,
        1.04405,
        0.996274,
        1.02067,
        1.02677,
        1.0327,
        1.03569,
        1.04185,
        1.04712,
        1.01065,
        1.02513,
        1.0427,
        1.02697,
        1.01682,
        1.00829,
        0.991207,
        1.00319,
        1.02158,
        1.00319,
        1.02664,
        1.00832,
        1.02496,
        1.01989,
        1.02996,
        1.02244,
        1.03291,
        1.02355,
        1.02089,
        1.04024,
        1.03935,
        1.03205,
        1.0223,
        1.01452,
        1.02114,
        1.01766,
        1.02958,
        1.03114,
        1.00721,
        1.00487,
        1.01866,
        1.02402,
        1.02112,
        1.02812,
        1.00225,
        0.999126,
        1.01629,
        1.02474,
        1.03651,
        1.01397,
        1.04402,
        1.01075,
        1.01815,
        1.03874,
        1.01668,
        1.01385,
        0.97633,
        1.00655,
        0.978957,
        0.982882,
        0.989508,
        0.989658,
        0.988621,
        1.02085,
        1.01067,
        1.02253,
        0.997238,
        0.979143,
        0.999212,
        0.979483,
        0.968995,
        1.02833,
        1.00087,
        1.02331,
        1.04584,
        1.01081,
        1.02559,
        0.993693,
        1.01,
        1.00907,
        1.05462,
        1.02859,
        1.0405,
        1.01412,
        1.00561,
        1.03924,
        1.00443,
        1.03456,
        0.99977,
        0.993642,
        1.00075,
        1.00245,
        1.00677,
        0.958907,
        1.04016,
        0.998337,
        0.998044,
        0.998016,
        1.04895,
        1.02169,
        1.01643,
        1.0145,
        1.01128,
        1.02845,
        1.02019,
        1.01342,
        0.999596,
        0.943553,
        0.966908,
        0.986905,
        1.00028,
        1.02836,
        0.989897,
        1.03663,
        1.03079,
        1.02621,
        0.967018,
        1.01281,
        1.0358,
        1.03273,
        1.07828,
        1.03294,
        1.04218,
        1.06319,
        1.05391,
        1.00793,
        1.0117,
        1.00062,
        1.02591,
        0.983407,
        1.01675,
        1.00357,
        1.05615,
        1.08243,
        1.03786,
        1.04823,
        1.06272,
        1.11083,
        1.12419,
        0.956648,
        0.984567,
        0.904496,
        0.883024,
        1.00868,
        1.01008,
        1.03456,
        0.987871,
        1.00542,
        0.99907,
        1.00537,
        1.03182,
        0.985726,
        1.02257,
        1.0288,
        0.997107,
        1.02085,
        1.02245,
        0.96436,
        1.01033,
        1.00755,
        1.01473,
        1.03505,
        1.03861,
        1.03722,
        0.983559,
        1.08414,
        1.08858,
        1.12084,
        1.07751,
        1.09672,
        1.07679,
        1.04765,
        1.14154,
        1.10821,
        1.04607,
        1.1034,
        1.2624,
        1.37974,
        1.36064,
        1.386,
        1.56246,
        0.940603,
        0.895867,
        0.745896,
        0.860451,
        1.03872,
        1.07108,
        0.983623,
        1.02266,
        0.998148,
        1.05893,
        0.977966,
        1.02171,
        1.00638,
        0.978016,
        0.975591,
        0.889884,
        0.768836,
        0.649075,
        0.628637,
        0.609666,
        0.588259,
        0.685473,
        0.835952,
        0.902598,
        0.870904,
        0.858175,
        0.810879,
        0.853079,
        0.85922,
        0.856304,
        0.842891,
        0.828557,
        0.902372,
        0.933423,
        0.950562,
        0.94127,
        0.960097,
        0.959543,
        1.00241,
        1.04393,
        0.978715,
        1.01727,
        1.01635,
        1.08026,
        1.04197,
        1.11161,
        1.08889,
        1.07187,
        1.07881,
        1.05693,
        1.1302,
        1.10044,
        1.10972,
        1.07527,
        1.08731,
        1.11859,
        1.09466,
        1.13142,
        1.11203,
        1.14252,
        1.09318,
        1.10109,
        1.06983,
        1.04244,
        1.10782,
        1.0911,
        1.07219,
        1.10595,
        1.0968,
        1.04565,
        1.05951,
        1.09029,
        1.05727,
        1.05669,
        1.07624,
        1.04424,
        1.04426,
        1.02876,
        1.05578,
        1.07599,
        1.0688,
        1.08857,
        1.07493,
        1.05761,
        1.01915,
        1.05272,
        1.03239,
        1.06172,
        1.02855,
        1.03521,
        1.03093,
        1.02903,
        1.00705,
        1.05476,
        1.00274,
        1.04116,
        1.07005,
        1.0467,
        1.03531,
        1.04569,
        1.07071,
        1.02492,
        1.06012,
        1.07282,
        1.04953,
        1.02615,
        1.05145,
        1.05297,
        1.05406,
        1.03188,
        1.06898,
        1.04456,
        1.09216,
        1.06381,
        1.07977,
        1.0332,
        1.04524,
        1.08399,
        1.07606,
        1.02367,
        1.10566,
        1.07253,
        1.09629,
        1.14327,
        1.12991,
        null,
        1.10072,
        1.14276,
        1.15614,
        1.12345,
        1.14427,
        1.15902,
        1.0982,
        1.112,
        1.14264,
        1.16922,
        1.16561,
        1.10856,
        1.15078,
        1.14694,
        1.09446,
        1.09612,
        1.10786,
        1.14023,
        1.15356,
        1.14814,
        1.14209,
        1.10443,
        1.11241,
        1.14009,
        1.11868,
        1.13442,
        1.16592,
        1.16192,
        1.10819,
        1.11637,
        1.12437,
        1.07305,
        1.09498,
        1.1485,
        1.11428,
        1.0947,
        1.09998,
        1.12766,
        1.1635,
        1.1698,
        1.14532,
        1.11231,
        1.13662,
        1.19844,
        1.15759,
        1.13074,
        1.08428,
        1.05003,
        1.13039,
        1.10725,
        1.17496,
        1.17903,
        1.17118,
        1.25774,
        1.28514,
        1.19716,
        1.12222,
        1.08081,
        1.13739,
        1.21474,
        1.19365,
        1.1433,
        1.14817,
        1.16064,
        1.18941,
        1.2094,
        1.17859,
        1.18127,
        1.18615,
        1.15971,
        1.16024,
        1.17441,
        1.13557,
        1.12317,
        1.13469,
        1.15409,
        1.1758,
        1.16226,
        1.17951,
        1.18383,
        1.15975,
        1.17657,
        1.16876,
        1.16071,
        1.12053,
        1.13857,
        1.16158,
        1.15901,
        1.16686,
        1.15068,
        1.15387,
        1.17809,
        1.20175,
        1.20464,
        1.1829,
        1.21693,
        1.22689,
        1.20367,
        1.21797,
        1.18429,
        1.1018,
        1.10711,
        1.08588,
        1.12958,
        1.36584,
        1.19086,
        1.14356,
        1.1563,
        1.20094,
        1.17336,
        1.1974,
        1.19545,
        1.20882,
        1.17138,
        1.15986,
        1.19393,
        1.23294,
        1.23832,
        1.25306,
        1.24247,
        1.25238,
        1.24737,
        1.20986,
        1.22021,
        1.22869,
        1.22727,
        1.20077,
        1.195,
        1.19323,
        1.17081,
        1.09832,
        0.922547,
        0.744852,
        0.631787,
        0.697394,
        0.851227,
        0.962975,
        0.95776,
        0.952495,
        0.932768,
        0.918222,
        0.897481,
        0.892165,
        0.911611,
        0.934353,
        0.948379,
        0.991115,
        1.03565,
        1.0448,
        1.07467,
        1.12445,
        1.16244,
        1.17265,
        1.18734,
        1.21095,
        1.20431,
        1.19939,
        1.21805,
        1.22617,
        1.23854,
        1.23565,
        1.24416,
        1.25265,
        1.24387,
        1.24881,
        1.2458,
        1.2633,
        1.2375,
        1.21595,
        1.22168,
        1.20392,
        1.21163,
        1.194,
        1.19774,
        1.22441,
        1.21548,
        1.19861,
        1.19914,
        1.19176,
        1.19995,
        1.17127,
        1.19678,
        1.20921,
        1.1942,
        1.20066,
        1.19849,
        1.19852,
        1.20105,
        1.18334,
        1.17049,
        1.17853,
        1.17531,
        1.17896,
        1.1877,
        1.18159,
        1.17878,
        1.17037,
        1.1636,
        1.17776,
        1.17443,
        1.14609,
        1.1337,
        1.15281,
        1.16646,
        1.15836,
        1.16019,
        1.17171,
        1.18481,
        1.16336,
        1.15715,
        1.16627,
        1.15123,
        1.14778,
        1.14525,
        1.15416,
        1.17462,
        1.17479,
        1.17121,
        1.15695,
        1.16514,
        1.15775,
        1.17368,
        1.17902,
        1.17781,
        1.18933,
        1.16953,
        1.16232,
        1.14243,
        1.15974,
        1.18276,
        1.18058,
        1.15043,
        1.15284,
        1.15729,
        1.14324,
        1.13463,
        1.1592,
        1.16392,
        1.15171,
        1.16552,
        1.14034,
        1.17153,
        1.17598,
        1.16235,
        1.1503,
        1.15102,
        1.14245,
        1.14988,
        1.14145,
        1.15727,
        1.17127,
        1.18214,
        1.16207,
        1.1732,
        1.16867,
        1.1516,
        1.14562,
        1.1493,
        1.15323,
        1.14918,
        1.16039,
        1.15288,
        1.13654,
        1.13651,
        1.13657,
        1.13079,
        1.11595,
        1.12501,
        1.1278,
        1.13157,
        1.10569,
        1.10985,
        1.09941,
        1.08897,
        1.0766,
        1.08598,
        1.09874,
        1.08936,
        1.09098,
        1.09114,
        1.10342,
        1.11227,
        1.12415,
        1.12411,
        1.12236,
        1.12646,
        1.13759,
        1.15337,
        1.14193,
        1.13604,
        1.14022,
        1.14783,
        1.13278,
        1.14108,
        1.1586,
        1.15949,
        1.14547,
        1.16454,
        1.1442,
        1.14217,
        1.14758,
        1.17531,
        1.15387,
        1.14659,
        1.1564,
        1.13615,
        1.1587,
        1.1362,
        1.14842,
        1.16899,
        1.17927,
        1.16944,
        1.1443,
        1.13996,
        1.13135,
        1.15231,
        1.14541,
        1.13927,
        1.15382,
        1.1504,
        1.13848,
        1.16096,
        1.17376,
        1.17275,
        1.16096,
        1.16203,
        1.1562,
        1.15776,
        1.15089,
        1.16394,
        1.17817,
        1.15693,
        1.15527,
        1.16923,
        1.15265,
        1.15543,
        1.16335,
        1.1597,
        1.16229,
        1.16586,
        1.17108,
        1.15196,
        1.14908,
        1.14194,
        1.14109,
        1.13926,
        1.14806,
        1.16465,
        1.16348,
        1.1386,
        1.13315,
        1.15582,
        1.17126,
        1.16888,
        1.1483,
        1.1476,
        1.1377,
        1.15011,
        1.17387,
        1.18163,
        1.16446,
        1.15269,
        1.15393,
        1.17688,
        1.16129,
        1.14837,
        1.1515,
        1.16452,
        1.16679,
        1.17006,
        1.18115,
        1.16106,
        1.16354,
        1.1638,
        1.16524,
        1.16778,
        1.16871,
        1.17666,
        1.175,
        1.15677,
        1.16197,
        1.15923,
        1.16259,
        1.181,
        1.16672,
        1.15163,
        1.15444,
        1.16943,
        1.16294,
        1.1614,
        1.16503,
        1.14693,
        1.15804,
        1.16292,
        1.14396,
        1.1445,
        1.17966,
        1.16892,
        1.1582,
        1.15481,
        1.16573,
        1.15751,
        1.16134,
        1.15998,
        1.15481,
        1.15989,
        1.16497,
        1.18502,
        1.16109,
        1.17255,
        1.15556,
        1.14542,
        1.15134,
        1.16499,
        1.16238,
        1.13985,
        1.15169,
        1.16647,
        1.16562,
        1.16905,
        1.15937,
        1.16358,
        1.18336,
        1.16147,
        1.17007,
        1.17475,
        1.16454,
        1.1624,
        1.16613,
        1.1713,
        1.14676,
        1.11998,
        1.13134,
        1.1515,
        1.16136,
        1.14521,
        1.14424,
        1.15634,
        1.13922,
        1.14477,
        1.15033,
        1.14604,
        1.15956,
        1.16866,
        1.16737,
        1.15734,
        1.16267,
        1.14047,
        1.14415,
        1.14317,
        1.16348,
        1.17413,
        1.17893,
        1.14595,
        1.13967,
        1.14553,
        1.13449,
        1.11482,
        1.12702,
        1.14061,
        1.15093,
        1.13845,
        1.13305,
        1.18302,
        1.16665,
        1.16429,
        1.16041,
        1.1526,
        1.14985,
        1.14321,
        1.13834,
        1.14728,
        1.15052,
        1.13693,
        1.15781,
        1.15337,
        1.14818,
        1.14971,
        1.17046,
        1.17652,
        1.15804,
        1.16269,
        1.17366,
        1.18057,
        1.16601,
        1.15759,
        1.16249,
        1.16333,
        1.16972,
        1.17445,
        1.16806,
        1.15988,
        1.13138,
        1.1392,
        1.14561,
        1.14582,
        1.15395,
        1.15683,
        1.18118,
        1.18544,
        1.1753,
        1.19207,
        1.18512,
        1.18986,
        1.18573,
        1.17219,
        1.15205,
        1.16714,
        1.16943,
        1.18198,
        1.16915,
        1.19955,
        1.21565,
        1.22509,
        1.22178,
        1.18654,
        1.20109,
        1.1872,
        1.14756,
        1.12568,
        1.25662,
        1.30346,
        1.2346,
        1.28138,
        1.36064,
        1.32773,
        1.13244,
        1.09274,
        1.24135,
        1.25804,
        1.24648,
        1.22779,
        1.20887,
        1.19654,
        1.19557,
        1.2606,
        1.24989,
        1.21878,
        1.22339,
        1.2246,
        1.23499,
        1.20766,
        1.19742,
        1.21962,
        1.20641,
        1.22588,
        1.2209,
        1.22983,
        1.22145,
        1.13445,
        1.05052,
        0.911043,
        0.79698,
        0.74811,
        0.837115,
        0.95563,
        0.974272,
        0.949316,
        0.896385,
        0.855819,
        0.841295,
        0.836252,
        0.847728,
        0.873351,
        0.890439,
        0.933197,
        0.966,
        1.01976,
        1.07748,
        1.10937,
        1.13751,
        1.17013,
        1.20215,
        1.21482,
        1.2154,
        1.2183,
        1.22601,
        1.2452,
        1.26285,
        1.24345,
        1.22769,
        1.24117,
        1.21945,
        1.22495,
        1.26105,
        1.27783,
        1.25565,
        1.22696,
        1.22969,
        1.21015,
        1.24326,
        1.25308,
        1.22648,
        1.18561,
        1.17439,
        1.18018,
        1.19317,
        1.21345,
        1.21056,
        1.22038,
        1.22461,
        1.2267,
        1.2119,
        1.20514,
        1.20226,
        1.19412,
        1.21151,
        1.2369,
        1.23362,
        1.20262,
        1.19131,
        1.20186,
        1.2056,
        1.18859,
        1.20765,
        1.19339,
        1.20662,
        1.19352,
        1.18316,
        1.18612,
        1.17954,
        1.17647,
        1.17779,
        1.18645,
        1.19647,
        1.17905,
        1.1588,
        1.14662,
        1.15994,
        1.15951,
        1.1611,
        1.15255,
        1.1564,
        1.14525,
        1.13749,
        1.13505,
        1.16151,
        1.16768,
        1.1817,
        1.15605,
        1.14527,
        1.15806,
        1.1738,
        1.13891,
        1.13945,
        1.15093,
        1.15903,
        1.16849,
        1.17663,
        1.16358,
        1.13208,
        1.14433,
        1.1792,
        1.19847,
        1.17609,
        1.18165,
        1.18052,
        1.13379,
        1.16719,
        1.17922,
        1.18112,
        1.18887,
        1.17186,
        1.19118,
        1.18132,
        1.17812,
        1.18503,
        1.18687,
        1.18672,
        1.16243,
        1.17716,
        1.1953,
        1.19069,
        1.17916,
        1.17089,
        1.17385,
        1.18908,
        1.16291,
        1.13317,
        1.16753,
        1.15309,
        1.15205,
        1.17484,
        1.1906,
        1.15613,
        1.12687,
        1.14411,
        1.14839,
        1.13468,
        1.16495,
        1.14741,
        1.15383,
        1.14667,
        1.13856,
        1.16285,
        1.2002,
        1.20303,
        1.19082,
        1.17603,
        1.18731,
        1.17198,
        1.18629,
        1.18556,
        1.17273,
        1.17322,
        1.18121,
        1.20293,
        1.20574,
        1.20734,
        1.20419,
        1.17405,
        1.19462,
        1.19479,
        1.20943,
        1.20543,
        1.21927,
        1.19116,
        1.17365,
        1.18381,
        1.22827,
        1.22279,
        1.21875,
        1.21701,
        1.24637,
        1.2641,
        1.2151,
        1.2159,
        1.23233,
        1.22757,
        1.22208,
        1.23961,
        1.23494,
        1.24484,
        1.20455,
        1.27204,
        1.21471,
        1.28952,
        1.207,
        1.18516,
        1.16953,
        1.16604,
        1.18599,
        1.23245,
        1.19926,
        1.12508,
        1.15155,
        1.14129,
        1.13164,
        1.18636,
        1.23327,
        1.20751,
        1.13794,
        1.09704,
        1.18539,
        1.07751,
        1.0584,
        1.12848,
        1.2658,
        1.14608,
        1.15619,
        1.06566,
        1.12183,
        1.21254,
        1.20535,
        1.18533,
        1.2053,
        1.20516,
        1.21703,
        1.196,
        1.10405,
        1.0959,
        1.1176,
        1.20165,
        1.23364,
        1.19961,
        1.16171,
        1.11009,
        1.1578,
        1.07205,
        1.15219,
        1.19153,
        1.20813,
        1.20018,
        1.21273,
        1.12667,
        1.11813,
        1.13194,
        1.15257,
        1.15987,
        1.15671,
        1.16418,
        1.17726,
        1.16331,
        1.18694,
        1.17134,
        1.14095,
        1.1292,
        1.16711,
        1.14451,
        1.13628,
        1.1547,
        1.15203,
        1.13927,
        1.12432,
        1.14947,
        1.14295,
        1.10968,
        1.17615,
        1.21213,
        1.17923,
        1.16384,
        1.19174,
        1.12835,
        1.13875,
        1.19373,
        1.18377,
        1.15528,
        1.15649,
        1.15625,
        1.17053,
        1.15699,
        1.15552,
        1.12565,
        1.14036,
        1.15195,
        1.19101,
        1.18467,
        1.15818,
        1.1293,
        1.13089,
        1.14782,
        1.17511,
        1.16495,
        1.15453,
        1.15556,
        1.13683,
        1.12333,
        1.132,
        1.12495,
        1.14818,
        1.16384,
        1.17515,
        1.1742,
        1.18588,
        1.18259,
        1.1562,
        1.12314,
        1.13338,
        1.16212,
        1.16919,
        1.16418,
        1.13505,
        1.14343,
        1.17232,
        1.15569,
        1.12808,
        1.15449,
        1.14522,
        1.15323,
        1.14403,
        1.14623,
        1.13993,
        1.12737,
        1.13475,
        1.15585,
        1.15898,
        1.14518,
        1.17519,
        1.19863,
        1.20092,
        1.16865,
        1.1814,
        1.15866,
        1.11994,
        1.153,
        1.14402,
        1.1785,
        1.1674,
        1.17486,
        1.17091,
        1.12117,
        1.11169,
        1.15141,
        1.16055,
        1.19208,
        1.17376,
        1.17517,
        1.17517,
        1.16881,
        1.1606,
        1.15122,
        1.12992,
        1.13414,
        1.13431,
        1.11987,
        1.13767,
        1.18363,
        1.17515,
        1.17159,
        1.17564,
        1.15378,
        1.1389,
        1.17634,
        1.17958,
        1.13922,
        1.15798,
        1.16954,
        1.15526,
        1.16369,
        1.15708,
        1.15103,
        1.12943,
        1.15721,
        1.18745,
        1.18938,
        1.15612,
        1.18861,
        1.18933,
        1.16675,
        1.16595,
        1.19578,
        1.17836,
        1.1825,
        1.17916,
        1.17353,
        1.13674,
        1.12311,
        1.13131,
        1.15601,
        1.21125,
        1.21108,
        1.1859,
        1.18265,
        1.1843,
        1.17246,
        1.19126,
        1.17151,
        1.18916,
        1.18924,
        1.15771,
        1.13904,
        1.16479,
        1.17005,
        1.17035,
        1.13807,
        1.1716,
        1.15076,
        1.13556,
        1.18822,
        1.23967,
        1.2162,
        1.19159,
        1.17387,
        1.07752,
        1.09348,
        1.17237,
        1.19328,
        1.24135,
        1.18495,
        1.07167,
        0.967955,
        1.52463,
        1.35161,
        1.20736,
        1.16777,
        1.2846,
        1.2668,
        1.2119,
        1.20976,
        1.26531,
        1.26498,
        1.22082,
        1.20752,
        1.30727,
        1.26057,
        1.26071,
        1.22756,
        1.22612,
        1.23519,
        1.26249,
        1.17312,
        1.11241,
        1.17258,
        1.1628,
        1.12403,
        1.20827,
        1.19502,
        1.19378,
        1.13701,
        1.04813,
        1.00896,
        0.942364,
        0.942145,
        0.974075,
        0.952212,
        0.908138,
        0.879656,
        0.855977,
        0.828133,
        0.814285,
        0.803533,
        0.787089,
        0.840873,
        0.860948,
        0.902468,
        0.969877,
        0.993417,
        1.02126,
        1.08689,
        1.12579,
        1.14641,
        1.1877,
        1.21652,
        1.23525,
        1.25309,
        1.24486,
        1.21026,
        1.23236,
        1.20906,
        1.24163,
        1.29035,
        1.28855,
        1.26636,
        1.24055,
        1.2349,
        1.2967,
        1.29962,
        1.29909,
        1.26661,
        1.24049,
        1.22915,
        1.21786,
        1.18616,
        1.22336,
        1.16173,
        1.12017,
        1.16093,
        1.21078,
        1.22289,
        1.24772,
        1.26934,
        1.2019,
        1.19726,
        1.18483,
        1.20334,
        1.20176,
        1.19669,
        1.22658,
        1.24566,
        1.22428,
        1.1711,
        1.15271,
        1.17415,
        1.1866,
        1.18369,
        1.17354,
        1.19856,
        1.19054,
        1.17268,
        1.17355,
        1.16357,
        1.16066,
        1.1651,
        1.17112,
        1.19774,
        1.16096,
        1.15945,
        1.16675,
        1.15265,
        1.1374,
        1.13823,
        1.14282,
        1.14555,
        1.14915,
        1.12751,
        1.18527,
        1.20172,
        1.2193,
        1.18794,
        1.1852,
        1.172,
        1.17578,
        1.17378,
        1.1326,
        1.13478,
        1.16401,
        1.13609,
        1.14679,
        1.11276,
        1.06714,
        1.14437,
        1.1618,
        1.18634,
        1.18194,
        1.23078,
        1.23797,
        1.17968,
        1.15291,
        1.15393,
        1.15235,
        1.14167,
        1.1521,
        1.16726,
        1.16794,
        1.18199,
        1.20079,
        1.19082,
        1.16947,
        1.18165,
        1.17873,
        1.164,
        1.16044,
        1.17779,
        1.15521,
        1.1337,
        1.12141,
        1.13519,
        1.15875,
        1.16008,
        1.17022,
        1.15434,
        1.16895,
        1.16638,
        1.14654,
        1.09432,
        1.13214,
        1.14078,
        1.19085,
        1.22086,
        1.1731,
        1.14921,
        1.16527,
        1.11068,
        1.11957,
        1.15331,
        1.14826,
        1.17613,
        1.19653,
        1.18635,
        1.15613,
        1.17517,
        1.177,
        1.16118,
        1.11348,
        1.06934,
        1.07643,
        1.12999,
        1.19319,
        1.20727,
        1.16435,
        1.1407,
        1.19074,
        1.21812,
        1.16175,
        1.16717,
        1.15649,
        1.17011,
        1.19108,
        1.19458,
        1.17431,
        1.14968,
        1.13766,
        1.12719,
        1.16205,
        1.20739,
        1.22536,
        1.20473,
        1.16792,
        1.15553,
        1.14509,
        1.1582,
        1.16366,
        1.17572,
        1.15698,
        1.16349,
        1.15905,
        1.15725,
        1.18207,
        1.17193,
        1.17933,
        1.17321,
        1.17722,
        1.18742,
        1.19927,
        1.18368,
        1.16753,
        1.19479,
        1.17515,
        1.1401,
        1.13095,
        1.1435,
        1.15364,
        1.15761,
        1.16537,
        1.18587,
        1.18347,
        1.16125,
        1.16005,
        1.12227,
        1.10626,
        1.09806,
        1.16164,
        1.14281,
        1.13341,
        1.194,
        1.19359,
        1.17074,
        1.18565,
        1.17099,
        1.14591,
        1.15047,
        1.15899,
        1.1596,
        1.1815,
        1.21858,
        1.16308,
        1.06649,
        1.01996,
        1.10325,
        1.22241,
        1.22045,
        1.24575,
        1.23495,
        1.19284,
        1.15103,
        1.1533,
        1.15771,
        1.18106,
        1.1761,
        1.15099,
        1.17386,
        1.15368,
        1.15198,
        1.16697,
        1.17026,
        1.15143,
        1.17266,
        1.16225,
        1.15058,
        1.16483,
        1.13698,
        1.10503,
        1.09553,
        0.966144,
        1.08282,
        1.15825,
        1.19028,
        1.19255,
        1.15724,
        1.16724,
        1.13249,
        1.13737,
        1.1682,
        1.14525,
        1.10786,
        1.07151,
        1.14088,
        1.11974,
        1.1916,
        1.19626,
        1.18061,
        1.20833,
        1.14015,
        1.12715,
        1.16296,
        1.22939,
        1.21805,
        1.1932,
        1.16692,
        1.12715,
        1.15095,
        1.1094,
        1.1987,
        1.15706,
        1.15274,
        1.21756,
        1.18087,
        1.02471,
        1.19895,
        1.04665,
        1.4205,
        1.34608,
        1.25266,
        1.25824,
        1.24308,
        1.14767,
        1.17737,
        1.0517,
        1.09527,
        1.17038,
        1.21223,
        1.16575,
        1.13291,
        1.14191,
        1.18608,
        1.18599,
        1.15839,
        1.17924,
        1.18418,
        1.17433,
        1.14638,
        1.14932,
        1.15186,
        1.16545,
        1.14751,
        1.17229,
        1.18951,
        1.1362,
        1.13187,
        1.15991,
        1.07659,
        1.08254,
        1.13085,
        1.07754,
        1.0996,
        1.13117,
        1.10734,
        1.13566,
        1.13062,
        1.13704,
        1.16118,
        1.19693,
        1.22035,
        1.19745,
        1.16249,
        1.1342,
        1.14342,
        1.15065,
        1.16584,
        1.12653,
        1.12276,
        1.13716,
        1.1286,
        1.18337,
        1.18481,
        1.21198,
        1.17239,
        1.16649,
        1.15902,
        1.18779,
        1.16432,
        1.17408,
        1.11855,
        1.1549,
        1.17703,
        1.14534,
        1.15473,
        1.14688,
        1.19792,
        1.23931,
        1.09218,
        1.03635,
        0.958921,
        1.02489,
        1.09379,
        1.22148,
        1.15863,
        1.17681,
        1.25806,
        1.08927,
        1.17877,
        1.11302,
        1.06665,
        1.17853,
        1.14792,
        1.13238,
        1.16943,
        1.17601,
        1.18682,
        1.20848,
        1.218,
        1.17844,
        1.11903,
        1.14794,
        1.16617,
        1.17786,
        1.19158,
        1.19112,
        1.20483,
        1.22613,
        1.21375,
        1.2146,
        1.17397,
        1.13435,
        1.16824,
        1.14998,
        1.18763,
        1.19617,
        1.17846,
        1.14588,
        1.18059,
        1.19116,
        1.17818,
        1.14727,
        1.14213,
        1.15392,
        1.15987,
        1.16666,
        1.14061,
        1.12278,
        1.10195,
        1.13268,
        1.22014,
        1.23282,
        1.2292,
        1.21276,
        1.19298,
        1.1712,
        1.20724,
        1.20379,
        1.16227,
        1.25268,
        1.19235,
        1.27386,
        1.18766,
        1.13237,
        0.990312,
        1.15655,
        1.25658,
        1.10095,
        1.17938,
        1.24214,
        1.1956,
        1.20152,
        1.26585,
        1.26873,
        1.26051,
        1.23392,
        1.27484,
        1.18258,
        1.27096,
        1.28387,
        1.29344,
        1.26954,
        1.27765,
        1.21622,
        1.17427,
        1.16704,
        1.2248,
        1.21207,
        1.18215,
        1.18073,
        1.20474,
        1.15221,
        1.15045,
        1.06199,
        1.04806,
        0.995791,
        0.972468,
        0.923316,
        0.891928,
        0.853576,
        0.825285,
        0.82808,
        0.897127,
        0.902301,
        0.787369,
        0.912712,
        0.909435,
        0.892168,
        0.991802,
        1.00581,
        1.07998,
        1.09067,
        1.1884,
        1.23382,
        1.2513,
        1.25799,
        1.2444,
        1.27531,
        1.27166,
        1.25484,
        1.25503,
        1.27782,
        1.23193,
        1.26597,
        1.26847,
        1.28036,
        1.27257,
        1.35015,
        1.33849,
        1.33262,
        1.32386,
        1.29281,
        1.25773,
        1.25823,
        1.26685,
        1.33519,
        1.1813,
        1.17117,
        1.21621,
        1.23728,
        1.19603,
        1.18802,
        1.1671,
        1.19636,
        1.21938,
        1.22757,
        1.21567,
        1.24258,
        1.24974,
        1.24292,
        1.19558,
        1.17661,
        1.20971,
        1.15568,
        1.20429,
        1.24256,
        1.24048,
        1.22751,
        1.18723,
        1.20993,
        1.16404,
        1.19464,
        1.16708,
        1.19865,
        1.21242,
        1.19982,
        1.23356,
        1.19741,
        1.27218,
        1.25697,
        1.20026,
        1.26876,
        1.25243,
        1.22057,
        1.13531,
        1.09455,
        1.14091,
        1.15105,
        1.14526,
        1.21034,
        1.19713,
        1.26339,
        1.28904,
        1.26314,
        1.19886,
        1.10482,
        1.14216,
        1.15274,
        1.18308,
        1.19157,
        1.15681,
        1.12765,
        1.18323,
        1.21302,
        1.282,
        1.29673,
        1.25116,
        1.26041,
        1.20327,
        1.11353,
        1.12115,
        1.11854,
        1.16495,
        1.20441,
        1.20112,
        1.23329,
        1.19076,
        1.23769,
        1.27208,
        1.16305,
        1.11504,
        1.11726,
        1.12742,
        1.16362,
        1.18432,
        1.19673,
        1.1906,
        1.21953,
        1.20851,
        1.22605,
        1.22989,
        1.20625,
        1.17513,
        1.25,
        1.23205,
        1.12731,
        1.1027,
        1.10308,
        1.09508,
        1.14032,
        1.16111,
        1.16715,
        1.17048,
        1.16471,
        1.13872,
        1.17618,
        1.15533,
        1.1668,
        1.20063,
        1.20928,
        1.27185,
        1.24728,
        1.25296,
        1.14048,
        1.06999,
        1.08285,
        1.11303,
        1.17012,
        1.15397,
        1.19996,
        1.20559,
        1.16474,
        1.16191,
        1.18649,
        1.19681,
        1.19471,
        1.22768,
        1.20663,
        1.20765,
        1.19385,
        1.17227,
        1.159,
        1.1461,
        1.21293,
        1.24632,
        1.2642,
        1.29191,
        1.26561,
        1.22201,
        1.1277,
        1.05727,
        1.12779,
        1.14355,
        1.16995,
        1.28205,
        1.37669,
        1.2486,
        1.12042,
        1.08519,
        1.00991,
        1.04441,
        1.05962,
        1.07442,
        1.13159,
        1.14788,
        1.16163,
        1.15692,
        1.20207,
        1.2161,
        1.18441,
        1.2023,
        1.3147,
        1.32636,
        1.21031,
        1.21274,
        1.07721,
        1.0933,
        1.11025,
        1.09746,
        1.09216,
        1.11031,
        1.17716,
        1.15625,
        1.16472,
        1.14169,
        1.1936,
        1.19597,
        1.1807,
        1.15922,
        1.19909,
        1.26438,
        1.32926,
        1.32216,
        1.31797,
        1.28383,
        1.07193,
        1.07345,
        1.12154,
        1.09184,
        1.07399,
        1.10683,
        1.11138,
        1.15212,
        1.19221,
        1.15951,
        1.18105,
        1.1957,
        1.23353,
        1.25503,
        1.21041,
        1.16911,
        1.10649,
        1.05657,
        1.13732,
        1.17756,
        1.22563,
        1.19322,
        1.17314,
        1.19882,
        1.27035,
        1.26436,
        1.28597,
        1.20572,
        1.17729,
        1.1706,
        1.32943,
        1.49209,
        1.53328,
        1.30774,
        1.1766,
        1.01266,
        1.23561,
        0.994136,
        0.964736,
        1.08865,
        0.935758,
        1.12803,
        1.05598,
        0.957617,
        1.05603,
        1.10978,
        1.06428,
        1.16957,
        1.2945,
        1.17627,
        1.1941,
        1.02888,
        1.05132,
        1.03291,
        1.01366,
        1.11002,
        1.1216,
        1.13948,
        1.10671,
        1.11585,
        1.11992,
        1.1068,
        1.11205,
        1.16561,
        1.20519,
        1.18574,
        1.17056,
        1.17403,
        1.12797,
        1.12871,
        1.15719,
        1.17451,
        1.23488,
        1.27557,
        1.23582,
        1.2766,
        1.23774,
        1.18792,
        1.06353,
        1.01428,
        1.0755,
        1.11343,
        1.12007,
        1.15873,
        1.16215,
        1.18901,
        1.25427,
        1.20159,
        1.1346,
        1.11736,
        1.07007,
        1.07663,
        1.12562,
        1.18227,
        1.1872,
        1.23985,
        1.29889,
        1.38919,
        1.38959,
        1.36889,
        1.2162,
        1.02589,
        0.976361,
        1.05788,
        1.15748,
        1.18395,
        1.27117,
        1.29188,
        1.26755,
        1.15787,
        1.07611,
        1.06403,
        1.22875,
        1.44939,
        1.72218,
        1.67711,
        1.44612,
        1.1266,
        0.90134,
        0.858813,
        0.869098,
        1.03189,
        1.11859,
        1.26184,
        1.30824,
        1.3545,
        1.25966,
        1.08495,
        0.986574,
        0.974055,
        1.05151,
        1.11436,
        1.14589,
        1.28846,
        1.33621,
        1.4536,
        1.46106,
        1.29388,
        1.00216,
        0.885227,
        0.931816,
        1.0214,
        1.23877,
        1.37635,
        1.45995,
        1.52556,
        1.31763,
        1.06915,
        0.931555,
        0.952327,
        1.06098,
        1.28373,
        1.38743,
        1.39563,
        1.28138,
        1.12394,
        0.968372,
        0.990055,
        1.00969,
        1.15878,
        1.27112,
        1.25306,
        1.2798,
        1.29849,
        1.18097,
        1.11742,
        1.06226,
        1.11537,
        1.06063,
        1.12425,
        1.1883,
        1.26139,
        1.26307,
        1.31925,
        1.36901,
        1.29273,
        1.20349,
        1.27042,
        1.34639,
        1.47487,
        1.48199,
        1.36655,
        1.07922,
        0.999911,
        1.0748,
        1.11146,
        1.03101,
        1.04981,
        1.08021,
        1.20406,
        1.33087,
        1.38104,
        1.34353,
        1.32524,
        1.10281,
        0.960104,
        0.928288,
        1.03907,
        1.13511,
        1.23096,
        1.31712,
        1.40627,
        1.44968,
        1.43254,
        1.29281,
        1.19747,
        1.01415,
        0.9885,
        1.08947,
        1.16923,
        1.16773,
        1.19162,
        1.23931,
        1.24975,
        1.26061,
        1.35851,
        1.36897,
        1.41623,
        1.3312,
        1.34324,
        1.40719,
        1.34847,
        1.29549,
        1.27717,
        1.42365,
        1.51323,
        1.74543,
        2.01513,
        2.25099,
        2.54279,
        3.3849,
        0.919916,
        0.834737,
        0.956608,
        1.18959,
        0.986738,
        0.891845,
        1.0165,
        1.0759,
        1.2478,
        1.33942,
        1.29677,
        1.35481,
        1.21568,
        1.36556,
        1.22059,
        1.0885,
        0.851132,
        1.07248,
        1.11686,
        1.28439,
        1.31323,
        1.21741,
        1.07954,
        0.998037,
        1.01749,
        1.14954,
        1.10674,
        1.19897,
        1.25978,
        1.30472,
        1.29532,
        1.38107,
        1.40714,
        1.40513,
        1.08365,
        0.780826,
        0.696609,
        0.770122,
        0.743899,
        0.931487,
        1.1783,
        1.34562,
        1.12802,
        0.849588,
        0.645725,
        0.576904,
        0.73769,
        0.898139,
        1.01678,
        1.11862,
        1.13255,
        1.15908,
        1.18046,
        1.17735,
        1.2181,
        1.27281,
        1.29951,
        1.30291,
        1.31423,
        1.33138,
        1.31497,
        1.3392,
        1.32311,
        1.26575,
        1.25714,
        1.28506,
        1.32615,
        null,
        1.14165,
        1.07744,
        1.09116,
        1.02689,
        1.12684,
        1.28593,
        1.27539,
        1.22437,
        1.2227,
        1.20586,
        1.16637,
        1.19018,
        1.21406,
        1.21091,
        1.19517,
        1.17334,
        1.18125,
        1.17163,
        1.17288,
        1.17103,
        1.21838,
        1.18904,
        1.16868,
        1.15028,
        1.13866,
        1.13344,
        1.14935,
        1.15601,
        1.16014,
        1.13937,
        1.12446,
        1.10576,
        1.11448,
        1.10726,
        1.10708,
        1.12033,
        1.17659,
        1.22762,
        1.24463,
        1.22759,
        1.20435,
        1.19129,
        1.14365,
        1.18119,
        1.20116,
        1.19424,
        1.19242,
        1.19798,
        1.22259,
        1.19272,
        1.17411,
        1.17554,
        1.17542,
        1.15768,
        1.10444,
        1.05784,
        1.1002,
        1.14929,
        1.23913,
        1.28548,
        1.22118,
        1.18321,
        1.1662,
        1.15947,
        1.16036,
        1.13948,
        1.11943,
        1.10319,
        1.1971,
        1.24747,
        1.20329,
        1.20735,
        1.19459,
        1.16959,
        1.146,
        1.12158,
        1.16002,
        1.13935,
        1.16132,
        1.17572,
        1.20595,
        1.22571,
        1.20264,
        1.19188,
        1.22012,
        1.18025,
        1.16082,
        1.16961,
        1.15546,
        1.12474,
        1.10263,
        1.15262,
        1.15771,
        1.15363,
        1.16454,
        1.18201,
        1.14927,
        1.13893,
        1.16693,
        1.10787,
        1.15738,
        1.23448,
        1.23827,
        1.19031,
        1.14277,
        1.13822,
        1.16078,
        1.18421,
        1.16757,
        1.1894,
        1.20406,
        1.15174,
        1.1259,
        1.13233,
        1.16926,
        1.08957,
        0.976312,
        1.12531,
        1.11054,
        1.18401,
        1.26438,
        1.24539,
        1.18809,
        1.17571,
        1.1724,
        1.20518,
        1.1858,
        1.16708,
        1.14944,
        1.09017,
        1.13624,
        1.16547,
        1.23223,
        1.22564,
        1.19522,
        1.18843,
        1.17492,
        1.15775,
        1.17488,
        1.17358,
        1.15934,
        1.19665,
        1.20565,
        1.17357,
        1.17532,
        1.20265,
        1.22293,
        1.22236,
        1.2104,
        1.21753,
        1.17833,
        1.17298,
        1.21661,
        1.21301,
        1.17483,
        1.13637,
        1.15567,
        1.19714,
        1.23268,
        1.22677,
        1.2414,
        1.21412,
        1.20862,
        1.19084,
        1.21072,
        1.23532,
        1.23873,
        1.2443,
        1.25052,
        1.25531,
        1.21992,
        1.20042,
        1.20899,
        1.24046,
        1.23538,
        1.23061,
        1.31398,
        1.41378,
        1.41332,
        1.24971,
        1.204,
        1.16379,
        1.19667,
        1.17982,
        1.19073,
        1.23025,
        1.33334,
        1.30667,
        1.30937,
        1.32587,
        1.35735,
        1.35146,
        1.28897,
        1.28421,
        1.26968,
        1.23242,
        1.24838,
        1.26124,
        1.24405,
        1.26653,
        1.18548,
        1.12628,
        1.16468,
        1.14535,
        1.07364,
        0.947971,
        0.924715,
        0.896389,
        0.836283,
        0.791157,
        0.822748,
        0.836614,
        0.777266,
        0.88595,
        0.943259,
        0.932703,
        1.00266,
        1.0217,
        1.16476,
        1.16918,
        1.18648,
        1.22713,
        1.25296,
        1.3063,
        1.31046,
        1.25758,
        1.33618,
        1.34632,
        1.20537,
        1.59103,
        1.10305,
        1.51931,
        1.41604,
        1.36702,
        1.38706,
        1.29273,
        1.26069,
        1.23844,
        1.25503,
        1.31699,
        1.31923,
        1.25168,
        1.25916,
        1.17741,
        1.23041,
        1.24395,
        1.25977,
        1.27032,
        1.24214,
        1.22785,
        1.23799,
        1.22743,
        1.13317,
        1.24989,
        1.26126,
        1.18948,
        1.17279,
        1.23225,
        1.23226,
        1.17219,
        1.20462,
        1.2562,
        1.22395,
        1.16345,
        1.17894,
        1.21992,
        1.1708,
        1.19759,
        1.1948,
        1.18641,
        1.24868,
        1.21276,
        1.24498,
        1.3009,
        1.34415,
        1.22387,
        1.34392,
        1.34853,
        1.43089,
        1.55352,
        1.26682,
        1.32297,
        1.19824,
        1.18823,
        1.22764,
        1.2485,
        1.24286,
        1.25883,
        1.20768,
        1.19862,
        1.20151,
        1.18845,
        1.27454,
        1.24724,
        1.23086,
        1.23055,
        1.21111,
        1.21109,
        1.19181,
        1.16386,
        1.17889,
        1.17653,
        1.1812,
        1.17145,
        1.17452,
        1.19189,
        1.18293,
        1.1955,
        1.21439,
        1.20356,
        1.19818,
        1.17943,
        1.18025,
        1.20411,
        1.1898,
        1.19959,
        1.20027,
        1.18523,
        1.17576,
        1.17837,
        1.17792,
        1.16898,
        1.18428,
        1.18044,
        1.17479,
        1.195,
        1.22294,
        1.18778,
        1.1706,
        1.19884,
        1.20498,
        1.20293,
        1.18581,
        1.17436,
        1.19256,
        1.19088,
        1.20769,
        1.1966,
        1.21095,
        1.22144,
        1.21496,
        1.20449,
        1.16192,
        1.13436,
        1.14405,
        1.19434,
        1.17925,
        1.1758,
        1.19399,
        1.19067,
        1.20607,
        1.1804,
        1.16839,
        1.19277,
        1.20503,
        1.20493,
        1.19,
        1.18054,
        1.20736,
        1.20066,
        1.19663,
        1.19773,
        1.16303,
        1.17075,
        1.17834,
        1.16742,
        1.15835,
        1.16659,
        1.16625,
        1.12568,
        1.10562,
        1.14426,
        1.15468,
        1.12721,
        1.14432,
        1.1268,
        1.12732,
        1.15906,
        1.16348,
        1.16873,
        1.1703,
        1.18532,
        1.18966,
        1.20152,
        1.19095,
        1.19994,
        1.19939,
        1.18555,
        1.14825,
        1.16796,
        1.18656,
        1.17467,
        1.14895,
        1.20753,
        1.17218,
        1.14153,
        1.13447,
        1.11813,
        1.14024,
        1.17773,
        1.16329,
        1.17326,
        1.19864,
        1.17035,
        1.16733,
        1.17205,
        1.14647,
        1.15777,
        1.18046,
        1.17882,
        1.12135,
        1.14361,
        1.16304,
        1.19557,
        1.18725,
        1.17227,
        1.17165,
        1.19094,
        1.18039,
        1.18211,
        1.1766,
        1.18233,
        1.14629,
        1.14992,
        1.18505,
        1.20152,
        1.18724,
        1.17239,
        1.15846,
        1.15103,
        1.1596,
        1.16621,
        1.17932,
        1.1713,
        1.16563,
        1.17267,
        1.19203,
        1.16252,
        1.16035,
        1.1492,
        1.14452,
        1.15766,
        1.14977,
        1.17626,
        1.20412,
        1.2026,
        1.18357,
        1.18299,
        1.18206,
        1.16754,
        1.17769,
        1.18465,
        1.19279,
        1.18787,
        1.20305,
        1.19147,
        1.16345,
        1.18774,
        1.19981,
        1.19593,
        1.1753,
        1.16989,
        1.18779,
        1.18671,
        1.18348,
        1.19274,
        1.20035,
        1.19414,
        1.19943,
        1.1867,
        1.19617,
        1.19477,
        1.19422,
        1.18731,
        1.17697,
        1.17479,
        1.19446,
        1.21059,
        1.20885,
        1.21174,
        1.21,
        1.23053,
        1.22489,
        1.20717,
        1.18241,
        1.19272,
        1.19904,
        1.19895,
        1.19029,
        1.19392,
        1.1855,
        1.1953,
        1.18025,
        1.168,
        1.18493,
        1.1891,
        1.19433,
        1.17862,
        1.1893,
        1.18756,
        1.17019,
        1.17329,
        1.15456,
        1.15585,
        1.13336,
        1.13072,
        1.16432,
        1.18884,
        1.1499,
        1.15336,
        1.14967,
        1.18824,
        1.18458,
        1.185,
        1.17291,
        1.17741,
        1.16652,
        1.15199,
        1.15455,
        1.17953,
        1.18521,
        1.16477,
        1.15139,
        1.15632,
        1.1814,
        1.17535,
        1.17666,
        1.17232,
        1.18209,
        1.17346,
        1.18345,
        1.17569,
        1.18602,
        1.18954,
        1.18798,
        1.18217,
        1.17761,
        1.17413,
        1.18205,
        1.22217,
        1.20742,
        1.19031,
        1.2068,
        1.20722,
        1.20649,
        1.19761,
        1.1786,
        1.18855,
        1.2027,
        1.19636,
        1.19845,
        1.20141,
        1.21955,
        1.19023,
        1.17592,
        1.18228,
        1.18848,
        1.1876,
        1.16125,
        1.19832,
        1.18555,
        1.19316,
        1.20745,
        1.22999,
        1.21867,
        1.18746,
        1.18047,
        1.16137,
        1.14497,
        1.18097,
        1.14643,
        1.13906,
        1.20712,
        1.16553,
        1.21639,
        1.20036,
        1.18782,
        1.19906,
        1.1893,
        1.18164,
        1.19586,
        1.22315,
        1.18393,
        1.17532,
        1.22834,
        1.23563,
        1.22509,
        1.24365,
        1.17965,
        1.19731,
        1.27968,
        1.33823,
        1.19201,
        1.14787,
        1.07702,
        1.22893,
        1.22973,
        1.21939,
        1.23495,
        1.22148,
        1.22412,
        1.27573,
        1.31512,
        1.29488,
        1.28352,
        1.28674,
        1.30703,
        1.2979,
        1.2873,
        1.28821,
        1.25968,
        1.26656,
        1.24619,
        1.22393,
        1.21655,
        1.22663,
        1.2132,
        1.20924,
        1.21724,
        1.16019,
        1.12104,
        1.06181,
        1.0248,
        0.997816,
        0.915811,
        0.883232,
        0.829889,
        0.798284,
        0.801986,
        0.812592,
        0.83108,
        0.872325,
        0.914473,
        0.958778,
        1.00455,
        1.07866,
        1.09918,
        1.13467,
        1.2055,
        1.25407,
        1.25731,
        1.29289,
        1.30188,
        1.32389,
        1.32892,
        1.33083,
        1.31506,
        1.32408,
        1.32353,
        1.31677,
        1.31618,
        1.34282,
        1.32716,
        1.31199,
        1.30285,
        1.29608,
        1.29952,
        1.28224,
        1.28043,
        1.2935,
        1.28808,
        1.28349,
        1.27988,
        1.28232,
        1.27145,
        1.26103,
        1.26148,
        1.25805,
        1.25954,
        1.27943,
        1.28139,
        1.27148,
        1.27663,
        1.28033,
        1.24638,
        1.19648,
        1.21815,
        1.21039,
        1.21394,
        1.20822,
        1.23558,
        1.20022,
        1.18841,
        1.19149,
        1.1986,
        1.20689,
        1.19605,
        1.19586,
        1.17855,
        1.18684,
        1.20007,
        1.1901,
        1.19885,
        1.2136,
        1.20725,
        1.19356,
        1.20933,
        1.20403,
        1.21468,
        1.20899,
        1.19053,
        1.20467,
        1.20486,
        1.19758,
        1.2179,
        1.20067,
        1.19368,
        1.22722,
        1.21244,
        1.20404,
        1.19311,
        1.1912,
        1.16037,
        1.19256,
        1.19219,
        1.16246,
        1.15925,
        1.14302,
        1.13842,
        1.13553,
        1.18306,
        1.19728,
        1.17046,
        1.1701,
        1.17128,
        1.18509,
        1.14918,
        1.11967,
        1.1635,
        1.17161,
        1.17037,
        1.21351,
        1.22626,
        1.13482,
        1.12972,
        1.13176,
        1.16967,
        1.14682,
        1.14218,
        1.16647,
        1.182,
        1.15294,
        1.08759,
        1.04724,
        1.07555,
        1.11145,
        1.15061,
        1.17182,
        1.16067,
        1.15004,
        1.14112,
        1.13797,
        1.12908,
        1.143,
        1.15456,
        1.15117,
        1.15699,
        1.14673,
        1.1475,
        1.15354,
        1.17551,
        1.17152,
        1.16223,
        1.15643,
        1.18,
        1.18476,
        1.15235,
        1.16365,
        1.14517,
        1.13949,
        1.10352,
        1.14712,
        1.16772,
        1.17784,
        1.18691,
        1.17326,
        1.14485,
        1.11805,
        1.11548,
        1.15949,
        1.20752,
        1.20143,
        1.19719,
        1.1758,
        1.18836,
        1.1824,
        1.17204,
        1.15334,
        1.13882,
        1.18116,
        1.18923,
        1.16529,
        1.1636,
        1.18113,
        1.16381,
        1.13914,
        1.15511,
        1.17321,
        1.1243,
        1.12362,
        1.13778,
        1.13445,
        1.17925,
        1.18026,
        1.17586,
        1.1635,
        1.17345,
        1.19359,
        1.16159,
        1.15527,
        1.15342,
        1.15942,
        1.15278,
        1.15272,
        1.19648,
        1.18793,
        1.16119,
        1.17387,
        1.16386,
        1.17344,
        1.17267,
        1.14776,
        1.10331,
        1.11065,
        1.11409,
        1.1153,
        1.14667,
        1.17431,
        1.18576,
        1.16918,
        1.18677,
        1.15403,
        1.15544,
        1.1407,
        1.14012,
        1.17666,
        1.18268,
        1.19906,
        1.19557,
        1.17893,
        1.19903,
        1.16295,
        1.17756,
        1.18683,
        1.12684,
        1.11176,
        1.16035,
        1.18966,
        1.1567,
        1.18257,
        1.1713,
        1.1522,
        1.19462,
        1.19919,
        1.18729,
        1.16523,
        1.12247,
        1.11993,
        1.12946,
        1.17428,
        1.18006,
        1.16543,
        1.13555,
        1.15277,
        1.11718,
        1.15135,
        1.16892,
        1.21773,
        1.17694,
        1.16849,
        1.16304,
        1.14966,
        1.17191,
        1.1522,
        1.16503,
        1.19479,
        1.16361,
        1.18515,
        1.23028,
        1.20172,
        1.19096,
        1.17712,
        1.17483,
        1.16772,
        1.16927,
        1.18029,
        1.17309,
        1.15661,
        1.12275,
        1.12637,
        1.11076,
        1.11127,
        1.18288,
        1.20329,
        1.18242,
        1.15779,
        1.15488,
        1.15722,
        1.17485,
        1.14373,
        1.15393,
        1.1241,
        1.12263,
        1.16596,
        1.17984,
        1.18213,
        1.17126,
        1.13234,
        1.14561,
        1.16572,
        1.16461,
        1.19968,
        1.12819,
        1.09471,
        1.11635,
        1.16565,
        1.22648,
        1.24017,
        1.22708,
        1.20567,
        1.20325,
        1.18956,
        1.1758,
        1.17966,
        1.18477,
        1.14546,
        1.15249,
        1.15462,
        1.08064,
        1.11441,
        1.18336,
        1.14902,
        1.17725,
        1.19877,
        1.1965,
        1.17963,
        1.17359,
        1.17268,
        1.19215,
        1.17656,
        1.17543,
        1.17626,
        1.19007,
        1.19528,
        1.17675,
        1.13606,
        1.15446,
        1.16971,
        1.18409,
        1.15494,
        1.16045,
        1.18701,
        1.17167,
        1.17571,
        1.18402,
        1.17776,
        1.17913,
        1.15626,
        1.16565,
        1.17611,
        1.18229,
        1.16381,
        1.14649,
        1.13045,
        1.17674,
        1.21757,
        1.23764,
        1.17959,
        1.12927,
        1.13175,
        1.17377,
        1.21534,
        1.19208,
        1.17136,
        1.19425,
        1.2176,
        1.19184,
        1.16694,
        1.1733,
        1.18579,
        1.19985,
        1.16259,
        1.11003,
        1.18715,
        1.17635,
        1.16345,
        1.17687,
        1.14201,
        1.18007,
        1.19123,
        1.18999,
        1.19479,
        1.18583,
        1.15923,
        1.13421,
        1.13695,
        1.14965,
        1.15487,
        1.18678,
        1.19433,
        1.17363,
        1.17749,
        1.18969,
        1.19321,
        1.18331,
        1.15516,
        1.14258,
        1.16747,
        1.20905,
        1.1926,
        1.18298,
        1.18441,
        1.14599,
        1.18923,
        1.21446,
        1.23615,
        1.20607,
        1.20529,
        1.17796,
        1.20938,
        1.21012,
        1.16899,
        1.14604,
        1.15917,
        1.23892,
        1.23457,
        1.23143,
        1.13967,
        1.10414,
        1.17378,
        1.20043,
        1.24668,
        1.22255,
        1.18558,
        1.22906,
        1.17471,
        1.21006,
        1.20361,
        1.15817,
        1.1671,
        1.21242,
        1.1498,
        1.10026,
        1.09314,
        1.14911,
        0.997483,
        1.07984,
        1.08601,
        1.30321,
        1.36177,
        1.35688,
        1.13363,
        1.05297,
        1.10673,
        1.15951,
        1.34903,
        1.3355,
        1.28528,
        1.1677,
        1.05765,
        1.20309,
        1.27633,
        1.26501,
        1.30125,
        1.32354,
        1.35294,
        1.28448,
        1.25516,
        1.26023,
        1.2797,
        1.28961,
        1.29754,
        1.28545,
        1.3071,
        1.21637,
        1.13894,
        1.13066,
        1.2564,
        1.27378,
        1.29749,
        1.22753,
        1.14239,
        1.23355,
        1.2069,
        1.13609,
        1.05187,
        1.01088,
        0.958772,
        0.838847,
        0.859511,
        0.809409,
        0.80186,
        0.795371,
        0.815649,
        0.869234,
        0.907184,
        0.942622,
        0.924178,
        0.967052,
        1.00628,
        1.11385,
        1.12043,
        1.1684,
        1.20477,
        1.22918,
        1.1673,
        1.14233,
        1.24275,
        1.29094,
        1.29601,
        1.3073,
        1.30697,
        1.35501,
        1.35816,
        1.3214,
        1.34288,
        1.30132,
        1.33013,
        1.32725,
        1.32941,
        1.30865,
        1.29049,
        1.28837,
        1.29956,
        1.24499,
        1.26283,
        1.23855,
        1.21196,
        1.22573,
        1.23896,
        1.26175,
        1.26608,
        1.25772,
        1.27399,
        1.29987,
        1.2872,
        1.23519,
        1.22004,
        1.21544,
        1.21877,
        1.24305,
        1.22852,
        1.19824,
        1.15847,
        1.05649,
        1.06014,
        1.08795,
        1.09396,
        1.18708,
        1.17241,
        1.20921,
        1.23759,
        1.176,
        1.17864,
        1.13372,
        1.0757,
        1.09959,
        1.10412,
        1.22851,
        1.2338,
        1.1071,
        1.21193,
        1.18071,
        1.22379,
        1.25985,
        1.24585,
        1.2119,
        1.11693,
        1.08488,
        1.09998,
        1.12804,
        0.947569,
        1.08261,
        1.38285,
        1.30578,
        1.34653,
        1.42623,
        1.11457,
        1.20308,
        1.28897,
        1.26095,
        1.32036,
        1.36491,
        1.19078,
        1.12239,
        1.26077,
        1.29437,
        1.29882,
        1.24703,
        1.23659,
        1.14129,
        1.19924,
        1.26473,
        1.18882,
        1.1618,
        1.17238,
        1.16736,
        1.23505,
        1.22461,
        1.1789,
        1.2072,
        1.19318,
        1.21568,
        1.2136,
        1.23285,
        1.20208,
        1.17944,
        1.1781,
        1.18191,
        1.14272,
        1.17925,
        1.15668,
        1.07269,
        1.1605,
        1.2187,
        1.21948,
        1.2088,
        1.16344,
        1.10857,
        1.19384,
        1.18649,
        1.18128,
        1.20255,
        1.19727,
        1.16451,
        1.14247,
        1.15076,
        1.1286,
        1.16039,
        1.14534,
        1.1945,
        1.17946,
        1.18448,
        1.20397,
        1.1452,
        1.17652,
        1.23786,
        1.21239,
        1.14261,
        1.16145,
        1.21982,
        1.16276,
        1.28081,
        1.25,
        1.21741,
        1.25925,
        1.2341,
        1.12637,
        1.13048,
        1.20419,
        1.18991,
        1.18339,
        1.17097,
        1.19083,
        1.17877,
        1.23556,
        1.23675,
        1.21151,
        1.16894,
        1.20803,
        1.16121,
        1.20096,
        1.18651,
        1.18425,
        1.17082,
        1.15185,
        1.16494,
        1.22863,
        1.1857,
        1.16554,
        1.19112,
        1.14256,
        1.0945,
        1.1898,
        1.23482,
        1.26083,
        1.18062,
        1.16178,
        1.17269,
        1.18346,
        1.20091,
        1.19428,
        1.1907,
        1.17783,
        1.16818,
        1.14313,
        1.15156,
        1.15009,
        1.15869,
        1.16334,
        1.18581,
        1.19254,
        1.22782,
        1.20106,
        1.17324,
        1.09899,
        1.0766,
        1.09852,
        1.1018,
        1.17216,
        1.15506,
        1.15275,
        1.20301,
        1.18897,
        1.20021,
        1.20065,
        1.19513,
        1.16188,
        1.15189,
        1.14939,
        1.18002,
        1.19987,
        1.20934,
        1.20026,
        1.18735,
        1.17935,
        1.19965,
        1.20222,
        1.21303,
        1.20792,
        1.17862,
        1.1803,
        1.20755,
        1.15215,
        1.18486,
        1.18,
        1.16672,
        1.17071,
        1.1622,
        1.17475,
        1.18853,
        1.20152,
        1.21238,
        1.20676,
        1.19314,
        1.16957,
        1.17354,
        1.18989,
        1.18569,
        1.1905,
        1.20248,
        1.19085,
        1.19246,
        1.17545,
        1.19383,
        1.1839,
        1.17735,
        1.17986,
        1.20269,
        1.17153,
        1.18228,
        1.21148,
        1.19359,
        1.18889,
        1.20159,
        1.201,
        1.19124,
        1.14529,
        1.15945,
        1.13241,
        1.16349,
        1.20283,
        1.19894,
        1.17525,
        1.15847,
        1.17512,
        1.20762,
        1.19521,
        1.16735,
        1.14377,
        1.14118,
        1.16402,
        1.18838,
        1.19617,
        1.16911,
        1.16656,
        1.19536,
        1.21213,
        1.18609,
        1.16641,
        1.17899,
        1.18155,
        1.19325,
        1.18674,
        1.18794,
        1.22636,
        1.20795,
        1.18674,
        1.20313,
        1.18494,
        1.19889,
        1.20207,
        1.17918,
        1.16752,
        1.17481,
        1.16956,
        1.17174,
        1.18256,
        1.17708,
        1.17525,
        1.17793,
        1.18891,
        1.17919,
        1.19859,
        1.20111,
        1.15986,
        1.12528,
        1.13515,
        1.17149,
        1.14831,
        1.14402,
        1.15704,
        1.18417,
        1.23576,
        1.18448,
        1.19958,
        1.22624,
        1.20722,
        1.16432,
        1.17365,
        1.18956,
        1.17252,
        1.18727,
        1.18071,
        1.19493,
        1.21557,
        1.18926,
        1.16301,
        1.18697,
        1.16036,
        1.19781,
        1.2119,
        1.18464,
        1.18235,
        1.15083,
        1.15937,
        1.11551,
        1.16199,
        1.14447,
        1.14827,
        1.17661,
        1.16454,
        1.1891,
        1.13845,
        1.12273,
        1.18248,
        1.18387,
        1.17739,
        1.20186,
        1.19924,
        1.18726,
        1.17307,
        1.19805,
        1.20227,
        1.1698,
        1.18668,
        1.19461,
        1.20502,
        1.24459,
        1.17158,
        1.19147,
        1.18249,
        1.18802,
        1.16122,
        1.12935,
        1.21391,
        1.18848,
        1.12065,
        1.19779,
        1.21048,
        1.24771,
        1.27905,
        1.18991,
        1.14721,
        1.12148,
        1.11345,
        1.15541,
        1.21461,
        1.18977,
        1.17634,
        1.17426,
        1.22731,
        1.1568,
        1.15636,
        1.19126,
        1.18219,
        1.17638,
        1.18772,
        1.1873,
        1.21504,
        1.26885,
        1.23014,
        1.21177,
        1.13554,
        1.20533,
        1.13528,
        1.13045,
        1.10938,
        1.13062,
        1.17018,
        1.19688,
        1.1817,
        1.18797,
        1.1598,
        1.13401,
        1.13201,
        1.20585,
        1.19556,
        1.20243,
        1.20107,
        1.17488,
        1.16891,
        1.1444,
        1.1706,
        1.20128,
        1.15909,
        1.19273,
        1.21579,
        1.22348,
        1.23411,
        1.22222,
        1.24314,
        1.21995,
        1.18176,
        1.31026,
        1.25537,
        1.28243,
        1.16238,
        1.07088,
        1.05984,
        1.14214,
        1.23256,
        1.25807,
        1.28169,
        1.20871,
        1.19748,
        1.22776,
        1.27727,
        1.15706,
        1.32345,
        1.44493,
        1.44895,
        1.3414,
        0.952432,
        0.992694,
        1.09771,
        1.22675,
        1.1656,
        1.20937,
        1.29354,
        1.18805,
        1.24515,
        1.24553,
        1.27531,
        1.28583,
        1.26471,
        1.30212,
        1.31763,
        1.23688,
        1.29106,
        1.2629,
        1.25618,
        1.22642,
        1.21059,
        1.13192,
        1.07674,
        1.00888,
        1.01245,
        0.978937,
        1.06036,
        1.13108,
        1.1125,
        1.13808,
        1.08353,
        1.0677,
        1.10302,
        1.04899,
        0.89968,
        0.820918,
        0.765445,
        0.722934,
        0.743664,
        0.786659,
        0.765937,
        0.832322,
        0.85435,
        0.87774,
        0.885102,
        0.842523,
        0.893408,
        0.962093,
        1.07223,
        1.14214,
        1.19912,
        1.20826,
        1.23212,
        1.20949,
        1.23941,
        1.26488,
        1.33008,
        1.32295,
        1.32085,
        1.32301,
        1.31397,
        1.33473,
        1.3203,
        1.28838,
        1.24131,
        1.28382,
        1.29196,
        1.28649,
        1.30999,
        1.30524,
        1.26582,
        1.22622,
        1.23223,
        1.26266,
        1.2234,
        1.19325,
        1.23725,
        1.26888,
        1.23482,
        1.30075,
        1.28499,
        1.29125,
        1.36627,
        1.46589,
        1.34119,
        1.23066,
        1.09618,
        1.10659,
        1.09816,
        1.10792,
        1.19863,
        1.22998,
        1.19234,
        1.25797,
        1.20512,
        1.19587,
        1.1361,
        1.10942,
        1.10773,
        1.12022,
        1.15281,
        1.15887,
        1.16994,
        1.19464,
        1.17559,
        1.1504,
        1.18841,
        1.19292,
        1.17982,
        1.16815,
        1.19725,
        1.28971,
        1.31172,
        1.34336,
        1.27933,
        1.22284,
        1.13439,
        1.05847,
        1.05505,
        1.09095,
        1.16869,
        1.19586,
        1.16436,
        1.22226,
        1.16416,
        1.15909,
        1.15583,
        1.16006,
        1.17838,
        1.15772,
        1.17113,
        1.16139,
        1.1536,
        1.17949,
        1.18165,
        1.17875,
        1.1698,
        1.18056,
        1.20846,
        1.18595,
        1.18864,
        1.18886,
        1.20611,
        1.23378,
        1.1899,
        1.16888,
        1.14881,
        1.12988,
        1.13562,
        1.2381,
        1.26497,
        1.30708,
        1.27404,
        1.16547,
        1.12638,
        1.01803,
        1.03324,
        1.09123,
        1.15165,
        1.13832,
        1.15232,
        1.20751,
        1.25304,
        1.26449,
        1.23713,
        1.1771,
        1.12917,
        1.15757,
        1.16001,
        1.18384,
        1.18236,
        1.22742,
        1.32817,
        1.40978,
        1.37501,
        1.28575,
        1.12389,
        1.02276,
        1.02467,
        1.1081,
        1.1185,
        1.1304,
        1.1577,
        1.16347,
        1.16475,
        1.20432,
        1.20884,
        1.16387,
        1.17003,
        1.17279,
        1.14681,
        1.2077,
        1.25304,
        1.25748,
        1.21516,
        1.2123,
        1.19876,
        1.17613,
        1.15949,
        1.25001,
        1.31427,
        1.35414,
        1.37619,
        1.25536,
        1.09632,
        1.03114,
        1.04213,
        1.14915,
        1.1657,
        1.22347,
        1.28084,
        1.37526,
        1.41058,
        1.47809,
        1.63486,
        1.57296,
        1.40015,
        1.14693,
        0.868017,
        0.802597,
        0.900936,
        1.04943,
        1.07504,
        1.14084,
        1.19344,
        1.17584,
        1.20935,
        1.20272,
        1.20446,
        1.18971,
        1.21803,
        1.18321,
        1.19606,
        1.30781,
        1.38869,
        1.51802,
        1.48259,
        1.34847,
        1.10309,
        0.91921,
        0.942385,
        1.07396,
        1.19188,
        1.22647,
        1.22898,
        1.17858,
        1.181,
        1.14857,
        1.16642,
        1.1841,
        1.17201,
        1.16573,
        1.16732,
        1.16395,
        1.21528,
        1.23381,
        1.23041,
        1.22799,
        1.21707,
        1.26875,
        1.32475,
        1.32919,
        1.34639,
        1.35245,
        1.19779,
        1.10231,
        1.08807,
        1.11725,
        1.15644,
        1.18924,
        1.20228,
        1.28944,
        1.38612,
        1.37254,
        1.33862,
        1.23673,
        1.16922,
        1.09721,
        1.15421,
        1.39701,
        1.41155,
        1.2885,
        1.06831,
        0.920228,
        1.02155,
        1.06761,
        1.13276,
        1.173,
        1.20641,
        1.1985,
        1.15117,
        1.10873,
        1.14585,
        1.14168,
        1.14683,
        1.12152,
        1.11635,
        1.12789,
        1.16459,
        1.21582,
        1.18382,
        1.15644,
        1.2361,
        1.23071,
        1.17132,
        1.189,
        1.1651,
        1.17387,
        1.2074,
        1.1975,
        1.22034,
        1.19374,
        1.19861,
        1.18828,
        1.17331,
        1.21753,
        1.21761,
        1.25215,
        1.28715,
        1.28148,
        1.37099,
        1.42786,
        1.51492,
        1.53135,
        1.41854,
        1.54323,
        1.4075,
        1.23399,
        1.39067,
        1.30364,
        1.28903,
        1.26064,
        1.25484,
        1.26279,
        1.23691,
        1.18249,
        1.45587,
        1.46753,
        1.56705,
        1.79409,
        1.19609,
        1.21105,
        1.17653,
        1.15615,
        0.87194,
        0.971548,
        1.00133,
        1.15484,
        1.24289,
        0.993968,
        0.967102,
        0.992302,
        0.990983,
        1.01056,
        0.997001,
        1.07086,
        1.10976,
        1.13933,
        1.07205,
        1.14056,
        1.15261,
        1.15509,
        1.15618,
        1.12387,
        1.18703,
        1.16395,
        1.14964,
        1.18152,
        1.2127,
        1.24034,
        1.2618,
        1.24284,
        1.25522,
        1.30774,
        1.16089,
        1.08121,
        1.08304,
        1.01825,
        1.03079,
        1.13964,
        1.2094,
        1.19789,
        1.25463,
        1.29116,
        1.46746,
        1.5177,
        1.54102,
        1.34389,
        1.24784,
        1.06777,
        1.02322,
        0.963109,
        1.0405,
        1.11518,
        1.09992,
        1.22987,
        1.2373,
        1.21558,
        1.19217,
        1.25493,
        1.29652,
        1.23206,
        1.38198,
        1.44992,
        1.61084,
        1.75313,
        null,
        1.22912,
        1.19307,
        1.18138,
        1.19087,
        1.22614,
        1.21467,
        1.17627,
        1.13584,
        1.09005,
        1.15315,
        1.23967,
        1.22088,
        1.20506,
        1.18469,
        1.17764,
        1.17927,
        1.17728,
        1.20058,
        1.20792,
        1.1976,
        1.2088,
        1.21365,
        1.1646,
        1.20584,
        1.22331,
        1.21622,
        1.222,
        1.20477,
        1.16222,
        1.18329,
        1.16122,
        1.19174,
        1.21797,
        1.19536,
        1.1556,
        1.09309,
        1.11273,
        1.16815,
        1.1483,
        1.16266,
        1.16205,
        1.12995,
        1.16898,
        1.22483,
        1.23814,
        1.25619,
        1.22989,
        1.17857,
        1.2229,
        1.19139,
        1.23297,
        1.24374,
        1.21351,
        1.16523,
        1.13786,
        1.08442,
        0.984258,
        1.14543,
        1.13768,
        1.14557,
        1.303,
        1.37345,
        1.30657,
        1.23355,
        1.21458,
        1.14695,
        1.21795,
        1.24613,
        1.24746,
        1.2553,
        1.23429,
        1.16985,
        1.21418,
        1.23128,
        1.21627,
        1.21169,
        1.18052,
        1.19157,
        1.2067,
        1.22583,
        1.26607,
        1.2577,
        1.246,
        1.22901,
        1.2064,
        1.21322,
        1.22763,
        1.23095,
        1.22523,
        1.2004,
        1.23146,
        1.22498,
        1.18258,
        1.18636,
        1.1547,
        1.18341,
        1.19594,
        1.21983,
        1.2246,
        1.24418,
        1.19911,
        1.19508,
        1.23682,
        1.24835,
        1.23024,
        1.21301,
        1.18588,
        1.19707,
        1.21866,
        1.21249,
        1.20266,
        1.20138,
        1.2144,
        1.2229,
        1.20147,
        1.21782,
        1.22114,
        1.23052,
        1.23261,
        1.23801,
        1.21597,
        1.21013,
        1.20854,
        1.19468,
        1.20559,
        1.20436,
        1.17702,
        1.16897,
        1.17945,
        1.2053,
        1.21233,
        1.20662,
        1.1859,
        1.20031,
        1.17836,
        1.17513,
        1.20093,
        1.15455,
        1.08882,
        1.16628,
        1.21436,
        1.21039,
        1.20372,
        1.1973,
        1.18847,
        1.17778,
        1.13027,
        1.14989,
        1.20804,
        1.21826,
        1.22978,
        1.23078,
        1.19544,
        1.18046,
        1.19495,
        1.18763,
        1.17651,
        1.20697,
        1.24079,
        1.20992,
        1.19858,
        1.20095,
        1.22795,
        1.22327,
        1.20128,
        1.19262,
        1.18364,
        1.18731,
        1.16318,
        1.14211,
        1.14976,
        1.1841,
        1.17998,
        1.2426,
        1.24303,
        1.23162,
        1.19575,
        1.16237,
        1.15393,
        1.18927,
        1.19599,
        1.16371,
        1.13495,
        1.14244,
        1.17855,
        1.18105,
        1.21181,
        1.21999,
        1.17845,
        1.15629,
        1.18881,
        1.18469,
        1.17633,
        1.17763,
        1.16328,
        1.16747,
        1.18298,
        1.18905,
        1.18021,
        1.18029,
        1.20935,
        1.20665,
        1.1791,
        1.16615,
        1.15831,
        1.16092,
        1.21463,
        1.21793,
        1.15254,
        1.15005,
        1.14905,
        1.16772,
        1.19132,
        1.18996,
        1.21145,
        1.18796,
        1.16162,
        1.11731,
        1.15063,
        1.16414,
        1.17088,
        1.17695,
        1.17528,
        1.17458,
        1.17604,
        1.1603,
        1.17666,
        1.18032,
        1.20818,
        1.20353,
        1.18421,
        1.16544,
        1.16918,
        1.19485,
        1.20766,
        1.21613,
        1.20648,
        1.20198,
        1.22438,
        1.19699,
        1.1906,
        1.20234,
        1.22088,
        1.226,
        1.21937,
        1.1915,
        1.18541,
        1.20547,
        1.18651,
        1.20832,
        1.18422,
        1.18239,
        1.18638,
        1.16345,
        1.15024,
        1.17872,
        1.20354,
        1.15769,
        1.15142,
        1.18179,
        1.12417,
        1.11211,
        1.11056,
        1.13582,
        1.13915,
        1.17963,
        1.17095,
        1.16319,
        1.18803,
        1.20915,
        1.18965,
        1.17397,
        1.17571,
        1.18981,
        1.21227,
        1.21266,
        1.23322,
        1.22035,
        1.17704,
        1.15676,
        1.16666,
        1.20017,
        1.22524,
        1.24848,
        1.24382,
        1.23256,
        1.20751,
        1.22312,
        1.2113,
        1.18423,
        1.15334,
        1.17687,
        1.15949,
        1.20457,
        1.22757,
        1.22305,
        1.17983,
        1.1523,
        1.21379,
        1.23886,
        1.25156,
        1.24326,
        1.21755,
        1.14548,
        1.13724,
        1.21206,
        1.26691,
        1.28402,
        1.25516,
        1.2159,
        1.20715,
        1.21294,
        1.23669,
        1.26379,
        1.28407,
        1.24064,
        1.27376,
        1.27818,
        1.31092,
        1.24202,
        1.29939,
        1.32891,
        1.16024,
        1.1694,
        1.14637,
        1.18073,
        1.30766,
        1.29701,
        1.27528,
        1.26812,
        1.2753,
        1.24474,
        1.25352,
        1.29919,
        1.30433,
        1.29271,
        1.34745,
        1.34482,
        1.36767,
        1.37766,
        1.34116,
        1.34243,
        1.33085,
        1.28996,
        1.28417,
        1.25465,
        1.27208,
        1.2789,
        1.27928,
        1.24981,
        1.20962,
        1.18245,
        1.13307,
        1.10125,
        1.07669,
        1.03171,
        0.957337,
        0.870293,
        0.836676,
        0.818824,
        0.819049,
        0.817489,
        0.872397,
        0.908239,
        0.920112,
        0.983773,
        1.05544,
        1.10628,
        1.14786,
        1.17497,
        1.19182,
        1.17536,
        1.23866,
        1.30325,
        1.35561,
        1.37068,
        1.35707,
        1.3682,
        1.35081,
        1.36398,
        1.34384,
        1.37915,
        1.38978,
        1.35594,
        1.33059,
        1.34159,
        1.32601,
        1.33362,
        1.32858,
        1.33157,
        1.33791,
        1.31463,
        1.2868,
        1.29183,
        1.32369,
        1.2847,
        1.30458,
        1.31692,
        1.28257,
        1.29742,
        1.2878,
        1.27087,
        1.2727,
        1.31196,
        1.29713,
        1.26886,
        1.24501,
        1.21941,
        1.23893,
        1.21154,
        1.25509,
        1.28709,
        1.24803,
        1.28282,
        1.24663,
        1.22763,
        1.23572,
        1.24918,
        1.22386,
        1.2307,
        1.18049,
        1.21807,
        1.21603,
        1.19831,
        1.20563,
        1.16503,
        1.19897,
        1.23231,
        1.21275,
        1.1971,
        1.23278,
        1.23536,
        1.16587,
        1.16591,
        1.17323,
        1.19193,
        1.1742,
        1.25137,
        1.21442,
        1.179,
        1.15707,
        1.10284,
        1.04827,
        1.12379,
        1.14984,
        1.15066,
        1.19482,
        1.22269,
        1.21559,
        1.23984,
        1.15414,
        1.15502,
        1.17265,
        1.17508,
        1.20803,
        1.22643,
        1.13494,
        1.11795,
        1.19929,
        1.16181,
        1.24546,
        1.24758,
        1.22029,
        1.21287,
        1.37874,
        1.20982,
        1.16655,
        1.11377,
        1.22174,
        1.15664,
        1.03434,
        1.17016,
        1.17105,
        1.2115,
        1.2365,
        1.25238,
        1.27264,
        1.09131,
        1.134,
        1.20038,
        1.20597,
        1.19692,
        1.17089,
        1.18392,
        1.20181,
        1.20618,
        1.2298,
        1.201,
        1.22822,
        1.24567,
        1.25001,
        1.22351,
        1.26394,
        1.28729,
        1.27313,
        1.2571,
        1.22488,
        1.19983,
        1.2259,
        1.21044,
        1.2083,
        1.24209,
        1.23962,
        1.23097,
        1.2186,
        1.21614,
        1.22778,
        1.22198,
        1.21599,
        1.22648,
        1.25218,
        1.23309,
        1.22101,
        1.22176,
        1.24534,
        1.2682,
        1.17878,
        1.11232,
        1.14848,
        1.18594,
        1.14679,
        1.14463,
        1.15507,
        1.20599,
        1.20719,
        1.19652,
        1.19924,
        1.21383,
        1.19539,
        1.18041,
        1.20875,
        1.18611,
        1.19097,
        1.21151,
        1.198,
        1.20225,
        1.21712,
        1.21547,
        1.22963,
        1.2402,
        1.23062,
        1.21702,
        1.15589,
        1.15389,
        1.21971,
        1.20441,
        1.20507,
        1.17213,
        1.15297,
        1.1826,
        1.24075,
        1.2035,
        1.20575,
        1.21422,
        1.21509,
        1.20715,
        1.20843,
        1.21326,
        1.19519,
        1.2042,
        1.219,
        1.20099,
        1.21563,
        1.22552,
        1.22734,
        1.19201,
        1.19948,
        1.19845,
        1.19632,
        1.20213,
        1.21203,
        1.20137,
        1.16592,
        1.18801,
        1.18715,
        1.14259,
        1.19499,
        1.20168,
        1.16337,
        1.19905,
        1.19288,
        1.19682,
        1.17755,
        1.18773,
        1.2059,
        1.19968,
        1.20611,
        1.18711,
        1.21432,
        1.20934,
        1.20138,
        1.17509,
        1.15605,
        1.18919,
        1.18965,
        1.21617,
        1.21028,
        1.20335,
        1.18941,
        1.22412,
        1.19978,
        1.15814,
        1.14963,
        1.17422,
        1.19378,
        1.21543,
        1.21442,
        1.1878,
        1.1488,
        1.16588,
        1.16928,
        1.20697,
        1.17515,
        1.11556,
        1.04906,
        1.01082,
        0.982954,
        1.02306,
        1.10922,
        1.14451,
        1.15578,
        1.15234,
        1.18045,
        1.17432,
        1.14796,
        1.1585,
        1.19821,
        1.15135,
        1.16703,
        1.17959,
        1.16948,
        1.17685,
        1.16105,
        1.1557,
        1.19501,
        1.18518,
        1.20649,
        1.21024,
        1.17259,
        1.19789,
        1.21196,
        1.20578,
        1.1959,
        1.17207,
        1.19548,
        1.19842,
        1.20984,
        1.17333,
        1.16367,
        1.16066,
        1.20304,
        1.19615,
        1.15459,
        1.18165,
        1.14276,
        1.08777,
        1.15322,
        1.17702,
        1.17753,
        1.1931,
        1.15446,
        1.15847,
        1.16783,
        1.14735,
        1.16057,
        1.17309,
        1.18419,
        1.18331,
        1.16974,
        1.19154,
        1.1397,
        1.08072,
        1.11278,
        1.16669,
        1.14281,
        1.17021,
        1.18175,
        1.17653,
        1.18444,
        1.20092,
        1.22766,
        1.17832,
        1.14275,
        1.18349,
        1.19457,
        1.1958,
        1.18279,
        1.16504,
        1.1794,
        1.16788,
        1.18491,
        1.18617,
        1.16998,
        1.18424,
        1.17022,
        1.17057,
        1.17365,
        1.1878,
        1.18455,
        1.17589,
        1.13677,
        1.15271,
        1.18451,
        1.19208,
        1.19221,
        1.2175,
        1.15971,
        1.1608,
        1.17353,
        1.17274,
        1.19946,
        1.18515,
        1.18113,
        1.19471,
        1.19736,
        1.16354,
        1.14105,
        1.1685,
        1.19,
        1.23636,
        1.21262,
        1.18712,
        1.18522,
        1.18915,
        1.22594,
        1.18702,
        1.1829,
        1.18965,
        1.18257,
        1.16755,
        1.18565,
        1.23368,
        1.21913,
        1.21459,
        1.2225,
        1.21163,
        1.2071,
        1.1886,
        1.21128,
        1.23408,
        1.17733,
        1.19302,
        1.21671,
        1.2074,
        1.15279,
        1.13927,
        1.22149,
        1.21888,
        1.24818,
        1.28946,
        1.27857,
        1.23878,
        1.20995,
        1.17778,
        1.17436,
        1.19072,
        1.19389,
        1.17169,
        1.19914,
        1.19971,
        1.23025,
        1.26803,
        1.23924,
        1.25064,
        1.27926,
        1.26212,
        1.22367,
        1.21073,
        1.21056,
        1.24458,
        1.2408,
        1.20288,
        1.22108,
        1.22816,
        1.23928,
        1.15478,
        1.26352,
        1.32023,
        1.34362,
        1.22779,
        1.25365,
        1.37103,
        1.37679,
        1.19134,
        1.45934,
        1.25574,
        1.29964,
        1.45036,
        1.28506,
        1.28562,
        1.31161,
        1.26519,
        1.28233,
        1.28345,
        1.32116,
        1.25067,
        1.35568,
        1.2329,
        1.33655,
        1.38132,
        1.35864,
        1.32473,
        1.34678,
        1.40255,
        1.36487,
        1.30218,
        1.25953,
        1.40422,
        1.42689,
        1.36473,
        1.3711,
        1.2407,
        1.10309,
        1.11318,
        1.28414,
        1.22717,
        1.25624,
        1.17693,
        0.939189,
        0.932391,
        1.19352,
        1.29169,
        1.3617,
        1.23364,
        1.26433,
        1.27187,
        1.43074,
        1.66978,
        1.49816,
        1.48841,
        1.45927,
        1.42185,
        1.16323,
        1.38267,
        1.11478,
        1.45156,
        1.43322,
        1.02944,
        1.22512,
        1.25437,
        1.21938,
        1.15019,
        1.31075,
        1.13174,
        1.19316,
        1.19563,
        1.33839,
        1.32704,
        1.25153,
        1.22809,
        1.25938,
        1.22377,
        1.25998,
        1.25331,
        1.22201,
        1.19257,
        1.27174,
        1.2639,
        1.24718,
        1.23553,
        1.24497,
        1.22026,
        1.27091,
        1.23954,
        1.24125,
        1.26977,
        1.24904,
        1.26617,
        1.24685,
        1.23247,
        1.13884,
        1.18063,
        1.29414,
        1.24926,
        1.20687,
        1.21006,
        1.22741,
        1.24741,
        1.21368,
        1.18677,
        1.263,
        1.24521,
        1.21002,
        1.20271,
        1.2127,
        1.21913,
        1.24325,
        1.21568,
        1.22769,
        1.22605,
        1.22791,
        1.20876,
        1.19787,
        1.20302,
        1.21347,
        1.23357,
        1.2266,
        1.21611,
        1.16991,
        1.17223,
        1.18586,
        1.19974,
        1.17123,
        1.22119,
        1.21518,
        1.20588,
        1.21598,
        1.1914,
        1.1911,
        1.19318,
        1.2131,
        1.20677,
        1.19197,
        1.18434,
        1.19724,
        1.19925,
        1.21638,
        1.25005,
        1.21643,
        1.15445,
        1.15081,
        1.15505,
        1.18662,
        1.20588,
        1.22833,
        1.20218,
        1.18854,
        1.19933,
        1.17006,
        1.18688,
        1.22211,
        1.20432,
        1.18645,
        1.20637,
        1.19887,
        1.23198,
        1.22824,
        1.19802,
        1.1928,
        1.19946,
        1.19208,
        1.18202,
        1.21456,
        1.185,
        1.19965,
        1.18329,
        1.19156,
        1.23019,
        1.16281,
        1.18392,
        1.18874,
        1.16955,
        1.15439,
        1.14358,
        1.16283,
        1.15738,
        1.15512,
        1.19448,
        1.19599,
        1.18563,
        1.15586,
        1.08358,
        1.05857,
        1.17171,
        1.11936,
        1.05842,
        0.983479,
        1.14797,
        1.23812,
        1.20129,
        1.143,
        1.20213,
        1.14397,
        1.1364,
        1.18614,
        1.21169,
        1.21634,
        1.18275,
        1.19248,
        1.19886,
        1.18743,
        1.19183,
        1.19134,
        1.16913,
        1.18653,
        1.17018,
        1.11849,
        1.10772,
        1.04819,
        1.13546,
        1.12527,
        1.20889,
        1.19625,
        1.19936,
        1.1872,
        1.11908,
        1.12771,
        1.1346,
        1.18151,
        1.19889,
        1.18424,
        1.19969,
        1.17459,
        1.1843,
        1.17949,
        1.17148,
        1.17257,
        1.15459,
        1.17855,
        1.18875,
        1.19839,
        1.21456,
        1.17382,
        1.1221,
        1.14619,
        1.18802,
        1.16619,
        1.19903,
        1.16491,
        1.17478,
        1.17031,
        1.18354,
        1.19886,
        1.19908,
        1.18311,
        1.1808,
        1.20037,
        1.19217,
        1.17096,
        1.17353,
        1.14973,
        1.14909,
        1.15931,
        1.18536,
        1.21763,
        1.20801,
        1.17229,
        1.15898,
        1.17086,
        1.20393,
        1.18414,
        1.1839,
        1.21424,
        1.16864,
        1.17122,
        1.16302,
        1.18013,
        1.17113,
        1.18746,
        1.17021,
        1.14427,
        1.19294,
        1.16058,
        1.17327,
        1.15084,
        1.13806,
        1.1525,
        1.22076,
        1.22812,
        1.2216,
        1.24523,
        1.24077,
        1.19953,
        1.24284,
        1.19408,
        1.20853,
        1.17415,
        1.10461,
        1.19268,
        1.23839,
        1.24756,
        1.20627,
        1.18841,
        1.20398,
        1.23876,
        1.22034,
        1.16513,
        1.18208,
        1.21263,
        1.23001,
        1.16839,
        1.19209,
        1.22356,
        1.2596,
        1.18008,
        1.11149,
        1.18539,
        1.20301,
        1.20934,
        1.23398,
        1.28474,
        1.24337,
        1.14855,
        1.1325,
        1.18709,
        1.18753,
        1.16588,
        1.13865,
        1.22974,
        1.24024,
        1.39871,
        1.08547,
        0.990534,
        0.912597,
        1.02238,
        1.12172,
        1.21095,
        1.3166,
        1.331,
        1.30187,
        1.20011,
        1.25787,
        1.27312,
        1.22794,
        1.24693,
        1.17791,
        1.20011,
        1.2225,
        1.20265,
        1.20759,
        1.14035,
        1.19911,
        1.19351,
        1.22274,
        1.2625,
        1.24659,
        1.167,
        1.15987,
        1.25044,
        1.16297,
        1.12605,
        1.12493,
        1.15912,
        1.07356,
        1.18764,
        1.18246,
        1.1606,
        1.19865,
        1.23993,
        1.23899,
        1.27488,
        1.29788,
        1.24832,
        1.1963,
        1.21607,
        1.20194,
        1.20249,
        1.16398,
        1.23314,
        1.25406,
        1.24096,
        1.25184,
        1.25049,
        1.23851,
        1.25692,
        1.24888,
        1.24546,
        1.23285,
        1.26085,
        1.29132,
        1.28699,
        1.26996,
        1.25856,
        1.26513,
        1.20936,
        1.23209,
        1.24278,
        1.22971,
        1.25495,
        1.26085,
        1.25146,
        1.22761,
        1.21769,
        1.23609,
        1.2011,
        1.22316,
        1.23013,
        1.2602,
        1.27587,
        1.26677,
        1.27813,
        1.23917,
        1.2287,
        1.20756,
        1.2024,
        1.20256,
        1.17828,
        1.23505,
        1.25429,
        1.27127,
        1.22403,
        1.2359,
        1.22991,
        1.22015,
        1.20779,
        1.23558,
        1.25055,
        1.22995,
        1.2092,
        1.2108,
        1.25001,
        1.26368,
        1.27923,
        1.29361,
        1.2739,
        1.28638,
        1.27747,
        1.27464,
        1.26724,
        1.24978,
        1.2243,
        1.29482,
        1.27957,
        1.21928,
        1.17914,
        1.06529,
        1.06249,
        1.19326,
        1.31225,
        1.38253,
        1.2766,
        1.22229,
        1.26293,
        1.26857,
        1.27798,
        1.28925,
        1.30797,
        1.28321,
        1.30707,
        1.34323,
        1.35663,
        1.33884,
        1.34379,
        1.35204,
        1.36808,
        1.34435,
        1.29759,
        1.31408,
        1.32884,
        1.28234,
        1.27777,
        1.27599,
        1.28131,
        1.28326,
        1.2517,
        1.19768,
        1.18199,
        1.19042,
        1.19628,
        1.12677,
        1.07793,
        1.04491,
        0.949816,
        0.946696,
        0.898508,
        0.861114,
        0.846215,
        0.792556,
        0.815361,
        0.845288,
        0.885922,
        0.918959,
        0.939496,
        0.976867,
        1.00879,
        1.04521,
        1.09438,
        1.17501,
        1.18838,
        1.21903,
        1.231,
        1.27784,
        1.2993,
        1.33815,
        1.33073,
        1.35526,
        1.36991,
        1.36648,
        1.36051,
        1.35679,
        1.34366,
        1.31769,
        1.34005,
        1.36871,
        1.38657,
        1.31782,
        1.28306,
        1.30398,
        1.28,
        1.29407,
        1.30728,
        1.30492,
        1.33157,
        1.31118,
        1.32478,
        1.32311,
        1.30103,
        1.26079,
        1.25849,
        1.25756,
        1.19856,
        1.21301,
        1.23615,
        1.23481,
        1.27707,
        1.24222,
        1.2952,
        1.26126,
        1.25216,
        1.2371,
        1.2255,
        1.18139,
        1.24951,
        1.17096,
        1.16708,
        1.11628,
        1.19233,
        1.38426,
        1.65013,
        1.095,
        1.1601,
        1.07546,
        1.1226,
        1.25264,
        1.26828,
        1.22041,
        1.23119,
        1.20221,
        1.20483,
        1.19029,
        1.21971,
        1.18422,
        1.19562,
        1.24421,
        1.22419,
        1.24098,
        1.23957,
        1.22731,
        1.22231,
        1.2387,
        1.25387,
        1.23486,
        1.23411,
        1.2448,
        1.26003,
        1.24096,
        1.24527,
        1.25863,
        1.23041,
        1.25098,
        1.25506,
        1.21546,
        1.22514,
        1.20119,
        1.22875,
        1.20128,
        1.21952,
        1.2015,
        1.22301,
        1.24196,
        1.24641,
        1.23413,
        1.24505,
        1.23217,
        1.24365,
        1.21931,
        1.2248,
        1.19325,
        1.1958,
        1.21188,
        1.15075,
        1.20152,
        1.20295,
        1.20434,
        1.21982,
        1.18607,
        1.17485,
        1.21162,
        1.25008,
        1.24664,
        1.1931,
        1.1807,
        1.23938,
        1.22018,
        1.22141,
        1.13487,
        1.14055,
        1.25709,
        1.24875,
        1.28084,
        1.23487,
        1.27283,
        1.23952,
        1.17142,
        1.20483,
        1.22304,
        1.21086,
        1.18169,
        1.16181,
        1.18599,
        1.19767,
        1.19088,
        1.17762,
        1.20387,
        1.1748,
        1.18687,
        1.17322,
        1.17481,
        1.21336,
        1.25847,
        1.20996,
        1.26217,
        1.22713,
        1.13635,
        1.1443,
        1.14715,
        1.13862,
        1.18548,
        1.2402,
        1.23765,
        1.20608,
        1.19565,
        1.16711,
        1.18326,
        1.1818,
        1.16533,
        1.18553,
        1.20721,
        1.21867,
        1.23644,
        1.21922,
        1.17205,
        1.14944,
        1.14311,
        1.16206,
        1.17747,
        1.18253,
        1.15666,
        1.20205,
        1.2165,
        1.23011,
        1.19719,
        1.19364,
        1.1711,
        1.20695,
        1.19426,
        1.17303,
        1.19154,
        1.18869,
        1.19648,
        1.21065,
        1.18473,
        1.19552,
        1.19354,
        1.20168,
        1.17894,
        1.19333,
        1.12671,
        1.14219,
        1.18844,
        1.17298,
        1.16985,
        1.16146,
        1.1736,
        1.17118,
        1.18855,
        1.16432,
        1.21093,
        1.22021,
        1.20288,
        1.18681,
        1.17929,
        1.15968,
        1.14997,
        1.17111,
        1.16276,
        1.20616,
        1.18146,
        1.15888,
        1.18847,
        1.20984,
        1.23031,
        1.24417,
        1.23032,
        1.23404,
        1.18268,
        1.139,
        1.14658,
        1.18631,
        1.20148,
        1.14848,
        1.18106,
        1.22207,
        1.20626,
        1.22973,
        1.16616,
        1.22774,
        1.24633,
        1.2193,
        1.21559,
        1.24535,
        1.26039,
        1.26647,
        1.11462,
        1.26833,
        1.31195,
        1.47154,
        1.47796,
        0.972494,
        1.01361,
        1.07224,
        1.04437,
        1.07438,
        1.06886,
        1.07144,
        1.15118,
        1.12275,
        1.1285,
        1.15328,
        1.20124,
        1.20561,
        1.15053,
        1.17126,
        1.19564,
        1.16062,
        1.13408,
        1.20387,
        1.23012,
        1.20521,
        1.25227,
        1.26847,
        1.26339,
        1.26456,
        1.26777,
        1.23234,
        1.19828,
        1.15158,
        1.07239,
        1.09665,
        1.11862,
        1.15512,
        1.22903,
        1.25248,
        1.21304,
        1.2131,
        1.13831,
        1.07608,
        1.08182,
        1.16394,
        1.22723,
        1.17358,
        1.15379,
        1.13572,
        1.20308,
        1.23607,
        1.18227,
        1.18269,
        1.23253,
        1.30568,
        1.34963,
        1.31007,
        1.2342,
        1.19824,
        1.14074,
        1.10702,
        1.12317,
        1.15457,
        1.17295,
        1.23758,
        1.25649,
        1.22862,
        1.24975,
        1.28585,
        1.26092,
        1.17483,
        1.15024,
        1.12314,
        1.09957,
        1.0905,
        1.10342,
        1.17649,
        1.20066,
        1.19013,
        1.21866,
        1.16929,
        1.13331,
        1.18409,
        1.1524,
        1.16495,
        1.21078,
        1.16211,
        1.20021,
        1.20692,
        1.20313,
        1.18567,
        1.21512,
        1.20742,
        1.22158,
        1.27965,
        1.29175,
        1.26093,
        1.2855,
        1.20959,
        1.11202,
        1.07954,
        1.11113,
        1.14852,
        1.2122,
        1.23191,
        1.27111,
        1.26816,
        1.32683,
        1.27634,
        1.17062,
        1.08137,
        1.0293,
        1.07344,
        1.15898,
        1.18572,
        1.16984,
        1.18104,
        1.19533,
        1.20317,
        1.18496,
        1.17285,
        1.21654,
        1.20525,
        1.21274,
        1.20375,
        1.19598,
        1.19415,
        1.17842,
        1.15555,
        1.17399,
        1.18109,
        1.20176,
        1.1875,
        1.16935,
        1.1933,
        1.20545,
        1.1945,
        1.21381,
        1.18214,
        1.14755,
        1.14767,
        1.16251,
        1.18447,
        1.19814,
        1.20624,
        1.18325,
        1.23405,
        1.29004,
        1.26639,
        1.25754,
        1.18392,
        1.09894,
        1.1169,
        1.1368,
        1.14549,
        1.20491,
        1.20096,
        1.19974,
        1.20378,
        1.19107,
        1.20564,
        1.22383,
        1.27253,
        1.27979,
        1.21052,
        1.16092,
        1.16467,
        1.07635,
        1.11097,
        1.14898,
        1.1618,
        1.17832,
        1.19816,
        1.22154,
        1.23484,
        1.25129,
        1.29382,
        1.32103,
        1.3903,
        1.51694,
        1.50049,
        1.36622,
        1.19399,
        1.10797,
        1.04792,
        1.13326,
        1.11198,
        1.16992,
        1.30071,
        1.27364,
        1.40026,
        1.53298,
        1.4226,
        1.56934,
        1.80392,
        2.80347,
        0.765811,
        0.96221,
        1.01023,
        1.0143,
        1.13509,
        1.05855,
        0.898475,
        0.965756,
        1.1328,
        1.11625,
        1.13084,
        1.13264,
        1.12463,
        1.15393,
        1.22949,
        1.21493,
        1.17285,
        1.20013,
        1.20307,
        1.18937,
        1.22405,
        1.3016,
        1.27211,
        1.27395,
        1.31546,
        1.3213,
        1.35541,
        1.27935,
        1.45555,
        1.51244,
        1.53295,
        1.65093,
        1.78365,
        1.97118,
        2.12652,
        1.98205,
        1.05305,
        1.1671,
        1.31853,
        1.27847,
        1.20497,
        1.37775,
        2.08261,
        1.77854,
        1.16871,
        1.29092,
        1.22213,
        0.966667,
        1.23405,
        1.15675,
        1.12125,
        1.26141,
        1.14117,
        1.02471,
        1.11384,
        1.18872,
        1.32026,
        1.28296,
        1.18631,
        1.08751,
        0.984565,
        0.895192,
        0.871113,
        0.877059,
        0.839654,
        0.800847,
        0.813748,
        0.860903,
        0.784134,
        0.836793,
        0.818866,
        0.838906,
        0.884517,
        0.900291,
        1.00336,
        0.960824,
        1.03046,
        1.0939,
        1.14064,
        1.20384,
        1.21447,
        1.29585,
        1.35448,
        1.35926,
        1.44613,
        1.45847,
        1.43112,
        1.38217,
        1.29475,
        1.24576,
        1.25687,
        1.30048,
        1.36676,
        1.36858,
        1.31831,
        1.35913,
        1.37518,
        1.32648,
        1.32147,
        1.35333,
        1.34891,
        1.36075,
        1.34602,
        1.33738,
        1.36636,
        1.35897,
        1.36566,
        1.34125,
        1.3097,
        1.31733,
        1.37963,
        1.40259,
        1.43202,
        1.43034,
        1.47346,
        1.50289,
        1.43129,
        1.38327,
        1.22558,
        1.1321,
        1.14171,
        1.19673,
        1.31547,
        1.45729,
        1.45464,
        1.48724,
        1.34797,
        1.16033,
        1.10763,
        1.11287,
        1.14816,
        1.16581,
        1.19007,
        1.23297,
        1.26661,
        1.45132,
        1.4515,
        1.46186,
        1.32575,
        1.29232,
        1.14836,
        1.07317,
        1.11255,
        1.17495,
        1.22929,
        1.22814,
        1.25842,
        1.23661,
        1.31862,
        1.41176,
        1.38775,
        1.3266,
        1.27266,
        1.25625,
        1.17973,
        1.1356,
        1.16952,
        1.23785,
        1.34636,
        1.45459,
        1.40469,
        1.35707,
        1.48303,
        1.45384,
        1.35103,
        1.29655,
        1.3372,
        1.21308,
        1.21635,
        1.3268,
        1.36055,
        1.47855,
        1.419,
        1.65847,
        2.05462,
        2.59268,
        2.97718,
        3.52575,
        2.58233,
        1.55215,
        1.2541,
        0.902272,
        0.962078,
        0.858921,
        0.851638,
        0.897132,
        1.099,
        1.11762,
        null,
        1.75738,
        1.59056,
        1.63236,
        1.32999,
        1.14832,
        1.18057,
        1.38321,
        1.20518,
        1.16066,
        0.979558,
        1.44052,
        1.22876,
        1.19382,
        1.1284,
        1.18272,
        1.29207,
        1.2131,
        1.21409,
        1.27964,
        1.02054,
        1.60099,
        1.31294,
        1.2304,
        1.3068,
        1.16022,
        1.09797,
        1.3616,
        1.48237,
        1.58818,
        null,
        1.19872,
        1.22648,
        1.28979,
        1.20757,
        1.29739,
        1.27499,
        1.25864,
        1.20489,
        1.25876,
        1.25185,
        1.31496,
        1.32996,
        1.31505,
        1.282,
        1.21192,
        1.21586,
        1.25968,
        1.24306,
        1.24984,
        1.24136,
        1.23002,
        1.20762,
        1.26665,
        1.25499,
        1.23295,
        1.21322,
        1.23514,
        1.22036,
        1.19041,
        1.22464,
        1.266,
        1.25727,
        1.25576,
        1.26123,
        1.2782,
        1.23424,
        1.2143,
        1.21504,
        1.2442,
        1.20566,
        1.23619,
        1.22732,
        1.20552,
        1.21716,
        1.22263,
        1.24569,
        1.21282,
        1.23083,
        1.26243,
        1.28326,
        1.25379,
        1.23415,
        1.25348,
        1.21374,
        1.19961,
        1.21849,
        1.21087,
        1.22899,
        1.19532,
        1.24013,
        1.23581,
        1.23348,
        1.22167,
        1.22127,
        1.21344,
        1.22342,
        1.23641,
        1.19173,
        1.20996,
        1.22818,
        1.25033,
        1.25927,
        1.26275,
        1.21128,
        1.20449,
        1.17974,
        1.21042,
        1.26628,
        1.27528,
        1.21521,
        1.20563,
        1.21736,
        1.21292,
        1.20773,
        1.18369,
        1.21287,
        1.20182,
        1.22243,
        1.23655,
        1.22636,
        1.18405,
        1.1847,
        1.19666,
        1.16518,
        1.15975,
        1.18249,
        1.18524,
        1.20668,
        1.26039,
        1.20054,
        1.16938,
        1.19484,
        1.20753,
        1.19233,
        1.21713,
        1.19046,
        1.23186,
        1.1909,
        1.20121,
        1.17168,
        1.23127,
        1.2235,
        1.20229,
        1.18082,
        1.19658,
        1.23661,
        1.1906,
        1.19585,
        1.20958,
        1.20026,
        1.19333,
        1.21845,
        1.17827,
        1.19931,
        1.22614,
        1.22037,
        1.22197,
        1.21119,
        1.221,
        1.23766,
        1.22473,
        1.22639,
        1.18282,
        1.17966,
        1.19117,
        1.21439,
        1.19967,
        1.21544,
        1.24253,
        1.25604,
        1.24263,
        1.2302,
        1.19487,
        1.19942,
        1.23395,
        1.22464,
        1.21871,
        1.23413,
        1.20417,
        1.20103,
        1.20755,
        1.19501,
        1.20394,
        1.2054,
        1.18312,
        1.19214,
        1.18092,
        1.19914,
        1.21089,
        1.20815,
        1.25036,
        1.29273,
        1.29927,
        1.25212,
        1.15498,
        1.18694,
        1.12054,
        1.14127,
        1.1919,
        1.19493,
        1.18921,
        1.18921,
        1.17833,
        1.20171,
        1.20691,
        1.21394,
        1.21514,
        1.22579,
        1.21363,
        1.21058,
        1.20197,
        1.21888,
        1.22373,
        1.21492,
        1.19687,
        1.20536,
        1.21083,
        1.21842,
        1.20795,
        1.21411,
        1.20447,
        1.18469,
        1.2176,
        1.21506,
        1.22227,
        1.22144,
        1.2013,
        1.19048,
        1.24666,
        1.21597,
        1.23303,
        1.21521,
        1.22441,
        1.21544,
        1.23737,
        1.21279,
        1.18745,
        1.20983,
        1.26625,
        1.23142,
        1.24781,
        1.24014,
        1.22474,
        1.18335,
        1.16864,
        1.17644,
        1.23882,
        1.20045,
        1.23493,
        1.23029,
        1.21979,
        1.24658,
        1.21952,
        1.17236,
        1.22316,
        1.24407,
        1.28482,
        1.2648,
        1.21797,
        1.13971,
        1.14354,
        1.18788,
        1.21077,
        1.20114,
        1.21145,
        1.22826,
        1.20982,
        1.20865,
        1.20498,
        1.23735,
        1.19104,
        1.22739,
        1.25528,
        1.26495,
        1.24656,
        1.23951,
        1.18632,
        1.17692,
        1.15681,
        1.18521,
        1.21952,
        1.18913,
        1.19705,
        1.24375,
        1.27861,
        1.22039,
        1.18922,
        1.22724,
        1.13332,
        1.12824,
        1.20378,
        1.19043,
        1.35615,
        1.38775,
        1.27212,
        1.07964,
        1.26597,
        1.32018,
        1.23507,
        1.19987,
        1.26182,
        1.30398,
        1.24432,
        1.23396,
        1.13093,
        1.08362,
        1.19461,
        1.20154,
        1.3091,
        1.18242,
        1.13606,
        1.27188,
        1.23131,
        1.19941,
        1.19233,
        1.15976,
        1.23613,
        1.21194,
        1.31231,
        1.20059,
        1.11774,
        1.14543,
        1.17297,
        1.2252,
        1.22125,
        1.27344,
        1.19202,
        1.25342,
        1.23794,
        1.19067,
        1.2141,
        1.19909,
        1.18238,
        1.23594,
        1.15683,
        1.12689,
        1.16502,
        1.22303,
        1.22353,
        1.22099,
        1.31475,
        1.27414,
        1.35769,
        1.08546,
        1.05173,
        1.16739,
        1.16903,
        1.14611,
        1.23289,
        1.22479,
        1.17538,
        1.2409,
        1.24926,
        1.22105,
        1.22477,
        1.24855,
        1.23212,
        1.20133,
        1.20594,
        1.2111,
        1.20385,
        1.22372,
        1.24629,
        1.27673,
        1.28539,
        1.25858,
        1.25242,
        1.24692,
        1.24939,
        1.29769,
        1.24011,
        1.2381,
        1.29149,
        1.27357,
        1.25332,
        1.29249,
        1.30398,
        1.26987,
        1.24218,
        1.22549,
        1.28092,
        1.31874,
        1.30519,
        1.3464,
        1.33739,
        1.31957,
        1.35146,
        1.3437,
        1.33465,
        1.29108,
        1.28094,
        1.35685,
        1.3284,
        1.29264,
        1.2579,
        1.25124,
        1.30385,
        1.25562,
        1.22323,
        1.1745,
        1.29769,
        1.30334,
        1.3375,
        1.22361,
        1.23841,
        1.29677,
        1.26585,
        1.28965,
        1.32083,
        1.31116,
        1.32457,
        1.35362,
        1.3714,
        1.36119,
        1.34332,
        1.35752,
        1.33366,
        1.31148,
        1.28666,
        1.32717,
        1.35315,
        1.31547,
        1.29584,
        1.2766,
        1.24367,
        1.22514,
        1.20945,
        1.18524,
        1.09929,
        1.03072,
        0.999268,
        0.959108,
        0.885733,
        0.847247,
        0.858141,
        0.833829,
        0.897913,
        0.973909,
        0.99176,
        1.04382,
        1.07939,
        1.14995,
        1.15696,
        1.21924,
        1.32221,
        1.34803,
        1.35094,
        1.38182,
        1.42851,
        1.36849,
        1.39551,
        1.38994,
        1.39925,
        1.42594,
        1.43597,
        1.40975,
        1.36607,
        1.42195,
        1.42122,
        1.43201,
        1.42643,
        1.34497,
        1.39669,
        1.4076,
        1.33985,
        1.34551,
        1.36592,
        1.49485,
        1.43213,
        1.34567,
        1.50567,
        1.43479,
        1.31984,
        1.39696,
        1.1853,
        1.42684,
        1.44703,
        1.33993,
        1.19636,
        1.44974,
        1.31422,
        1.31705,
        1.40808,
        1.42995,
        1.29859,
        1.29713,
        1.29136,
        1.32475,
        1.38948,
        1.3989,
        1.31822,
        1.26265,
        1.24695,
        1.22729,
        1.24378,
        1.25318,
        1.21049,
        1.19197,
        1.24266,
        1.23348,
        1.24246,
        1.21414,
        1.22864,
        1.28758,
        1.31686,
        1.20956,
        1.20227,
        1.2773,
        1.326,
        1.17194,
        1.05194,
        1.0958,
        1.28932,
        1.20034,
        1.33977,
        1.05245,
        1.10056,
        1.15454,
        1.15092,
        1.20546,
        1.21784,
        1.298,
        1.20933,
        1.20157,
        1.14026,
        1.17109,
        1.21404,
        1.21601,
        1.26421,
        1.2352,
        1.21924,
        1.23089,
        1.20171,
        1.22366,
        1.18592,
        1.20845,
        1.2638,
        1.22721,
        1.20161,
        1.23067,
        1.20806,
        1.2321,
        1.25237,
        1.20778,
        1.18072,
        1.21362,
        1.23103,
        1.19345,
        1.20795,
        1.18472,
        1.20471,
        1.25229,
        1.24125,
        1.19639,
        1.2187,
        1.20821,
        1.20854,
        1.25049,
        1.25493,
        1.25234,
        1.2407,
        1.20167,
        1.24028,
        1.18799,
        1.21376,
        1.23085,
        1.23531,
        1.23016,
        1.22359,
        1.23797,
        1.22479,
        1.20437,
        1.17931,
        1.18135,
        1.198,
        1.19363,
        1.21962,
        1.21486,
        1.19358,
        1.19803,
        1.19797,
        1.17877,
        1.19787,
        1.2342,
        1.18297,
        1.17683,
        1.20769,
        1.22297,
        1.24225,
        1.25114,
        1.24238,
        1.2578,
        1.22854,
        1.24319,
        1.23642,
        1.15,
        1.16782,
        1.21161,
        1.23279,
        1.21669,
        1.19194,
        1.18547,
        1.20096,
        1.21047,
        1.2329,
        1.22097,
        1.19825,
        1.20936,
        1.21048,
        1.18083,
        1.21489,
        1.22515,
        1.21316,
        1.20161,
        1.22874,
        1.21739,
        1.21647,
        1.18902,
        1.19237,
        1.23727,
        1.24187,
        1.21126,
        1.23155,
        1.22719,
        1.18952,
        1.1988,
        1.20549,
        1.19848,
        1.19987,
        1.22706,
        1.18512,
        1.22466,
        1.24181,
        1.2301,
        1.18823,
        1.21595,
        1.22833,
        1.20961,
        1.21419,
        1.20963,
        1.21332,
        1.21308,
        1.22484,
        1.22192,
        1.22538,
        1.20028,
        1.18728,
        1.19708,
        1.2234,
        1.23665,
        1.21567,
        1.21518,
        1.2451,
        1.26345,
        1.22144,
        1.21725,
        1.21318,
        1.19752,
        1.21972,
        1.2221,
        1.22823,
        1.22185,
        1.20231,
        1.19508,
        1.18353,
        1.15868,
        1.15224,
        1.18923,
        1.23745,
        1.22324,
        1.18644,
        1.1987,
        1.18825,
        1.21666,
        1.2284,
        1.19295,
        1.17336,
        1.20027,
        1.24251,
        1.28796,
        1.16833,
        1.25613,
        1.1613,
        1.19982,
        1.05406,
        1.24141,
        1.34397,
        1.14932,
        1.15863,
        1.07981,
        1.12749,
        1.28844,
        1.23303,
        1.22135,
        1.23093,
        1.21813,
        1.19924,
        1.20529,
        1.22149,
        1.17698,
        1.19034,
        1.21665,
        1.2196,
        1.23304,
        1.22618,
        1.23945,
        1.2225,
        1.21707,
        1.18778,
        1.19239,
        1.21137,
        1.21642,
        1.22083,
        1.21486,
        1.21896,
        1.22253,
        1.23425,
        1.20912,
        1.22636,
        1.22143,
        1.24454,
        1.20008,
        1.19644,
        1.21561,
        1.158,
        1.17285,
        1.19397,
        1.2179,
        1.19414,
        1.23302,
        1.1639,
        1.17406,
        1.18219,
        1.13954,
        1.15502,
        1.17124,
        1.18827,
        1.22917,
        1.20528,
        1.19167,
        1.19537,
        1.21817,
        1.21283,
        1.21096,
        1.22657,
        1.18585,
        1.21932,
        1.18224,
        1.18424,
        1.20341,
        1.17151,
        1.1398,
        1.1182,
        1.0802,
        1.17011,
        1.21406,
        1.19842,
        1.1684,
        1.16332,
        1.19686,
        1.20928,
        1.18717,
        1.17644,
        1.20132,
        1.19457,
        1.19802,
        1.1967,
        1.17102,
        1.19656,
        1.18557,
        1.21237,
        1.19472,
        1.19118,
        1.22733,
        1.22521,
        1.21072,
        1.23797,
        1.18919,
        1.20843,
        1.22467,
        1.23591,
        1.21087,
        1.21364,
        1.19715,
        1.19117,
        1.2586,
        1.20722,
        1.20429,
        1.20845,
        1.16116,
        1.18184,
        1.19725,
        1.20617,
        1.16748,
        1.18196,
        1.25132,
        1.26574,
        1.20747,
        1.20206,
        1.17785,
        1.17572,
        1.20068,
        1.21681,
        1.23938,
        1.20156,
        1.18118,
        1.19453,
        1.18196,
        1.21012,
        1.25543,
        1.26582,
        1.22503,
        1.21847,
        1.20991,
        1.23991,
        1.19307,
        1.16917,
        1.20649,
        1.2232,
        1.21261,
        1.18655,
        1.1576,
        1.19732,
        1.21607,
        1.15225,
        1.14322,
        1.17122,
        1.17748,
        1.19205,
        1.21061,
        1.2022,
        1.23128,
        1.17425,
        1.18509,
        1.17811,
        1.21351,
        1.18379,
        1.15515,
        1.14052,
        1.12254,
        1.17812,
        1.19853,
        1.22722,
        1.17574,
        1.16557,
        1.11877,
        1.11868,
        1.14232,
        1.15899,
        1.19198,
        1.199,
        1.28014,
        1.23044,
        1.13133,
        1.12441,
        1.05725,
        1.2202,
        1.29666,
        1.20089,
        1.32033,
        1.35571,
        1.34618,
        1.28954,
        1.30462,
        1.24566,
        1.29132,
        1.28569,
        1.28209,
        1.33369,
        1.32132,
        1.30856,
        1.266,
        1.25004,
        1.34039,
        1.24148,
        1.14529,
        1.18118,
        1.37056,
        1.33065,
        1.30484,
        1.31351,
        1.23254,
        1.2607,
        1.22583,
        1.28605,
        1.26539,
        1.29513,
        1.31825,
        1.33795,
        1.32767,
        1.27217,
        1.30191,
        1.28835,
        1.3467,
        1.39787,
        1.38449,
        1.33694,
        1.31345,
        1.3302,
        1.27911,
        1.30291,
        1.29993,
        1.25256,
        1.34168,
        1.29691,
        1.30215,
        1.29653,
        1.29259,
        1.28541,
        1.203,
        1.16177,
        1.11633,
        1.0667,
        0.977572,
        0.929807,
        0.888121,
        0.877915,
        0.873191,
        0.88207,
        0.948996,
        0.964645,
        0.966215,
        1.01023,
        1.04966,
        1.10338,
        1.13273,
        1.17981,
        1.22338,
        1.25972,
        1.33853,
        1.36144,
        1.36185,
        1.3954,
        1.39364,
        1.39163,
        1.43876,
        1.44144,
        1.41605,
        1.40959,
        1.40042,
        1.39462,
        1.41815,
        1.39906,
        1.35058,
        1.3683,
        1.36082,
        1.37484,
        1.36604,
        1.35963,
        1.38645,
        1.34887,
        1.3526,
        1.31314,
        1.30075,
        1.36411,
        1.34574,
        1.32545,
        1.30984,
        1.31471,
        1.29416,
        1.32981,
        1.31839,
        1.32813,
        1.29175,
        1.27614,
        1.27019,
        1.28905,
        1.31698,
        1.28589,
        1.26009,
        1.25161,
        1.25877,
        1.2542,
        1.26626,
        1.24656,
        1.26923,
        1.23295,
        1.23796,
        1.25113,
        1.26968,
        1.27131,
        1.25202,
        1.26422,
        1.2198,
        1.23671,
        1.24039,
        1.23477,
        1.25145,
        1.2109,
        1.24748,
        1.22916,
        1.18965,
        1.23907,
        1.1988,
        1.18103,
        1.19849,
        1.23791,
        1.22247,
        1.23647,
        1.2099,
        1.26677,
        1.2306,
        1.19352,
        1.2535,
        1.27553,
        1.26023,
        1.24257,
        1.24816,
        1.21625,
        1.27066,
        1.3268,
        1.28875,
        1.25856,
        1.28742,
        1.23241,
        1.19387,
        1.19556,
        1.17479,
        1.16911,
        1.12341,
        1.19427,
        1.14825,
        1.12842,
        1.12274,
        1.31087,
        1.20787,
        1.3542,
        1.25312,
        1.23757,
        1.17299,
        1.42199,
        1.42419,
        1.24379,
        1.18051,
        1.13097,
        1.26496,
        1.23192,
        1.23467,
        1.24253,
        1.24426,
        1.25512,
        1.27205,
        1.25589,
        1.15775,
        1.14445,
        1.16205,
        1.21823,
        1.23742,
        1.21275,
        1.18633,
        1.22334,
        1.19602,
        1.19358,
        1.21081,
        1.24928,
        1.22615,
        1.19176,
        1.21786,
        1.2362,
        1.24523,
        1.25479,
        1.18537,
        1.22525,
        1.17553,
        1.18358,
        1.21512,
        1.20727,
        1.20577,
        1.14847,
        1.10538,
        1.1312,
        1.19461,
        1.25564,
        1.27343,
        1.19977,
        1.23064,
        1.24125,
        1.2431,
        1.21365,
        1.21067,
        1.20714,
        1.22491,
        1.2314,
        1.25405,
        1.21402,
        1.20559,
        1.22649,
        1.19203,
        1.20034,
        1.21359,
        1.17987,
        1.1859,
        1.22171,
        1.22746,
        1.20721,
        1.19317,
        1.16493,
        1.22726,
        1.24006,
        1.25306,
        1.2645,
        1.21182,
        1.18968,
        1.19964,
        1.2005,
        1.22681,
        1.23804,
        1.24517,
        1.22149,
        1.22764,
        1.18644,
        1.21675,
        1.20217,
        1.14255,
        1.18389,
        1.20152,
        1.20664,
        1.19628,
        1.2269,
        1.2269,
        1.18974,
        1.20592,
        1.22762,
        1.25558,
        1.22709,
        1.1788,
        1.14022,
        1.23169,
        1.26222,
        1.2058,
        1.19947,
        1.17608,
        1.2003,
        1.22391,
        1.19671,
        1.23952,
        1.18236,
        1.22833,
        1.26375,
        1.2576,
        1.22417,
        1.22258,
        1.17078,
        1.22096,
        1.21576,
        1.18296,
        1.20373,
        1.22456,
        1.16466,
        1.22355,
        1.23763,
        1.20244,
        1.19364,
        1.20992,
        1.19821,
        1.18288,
        1.23825,
        1.14322,
        1.13823,
        1.17715,
        1.19601,
        1.1368,
        1.19725,
        1.12259,
        1.11226,
        1.16458,
        1.19728,
        1.18903,
        1.23533,
        1.19347,
        1.13373,
        1.2249,
        1.15938,
        1.08031,
        1.17138,
        1.22004,
        1.13755,
        1.14523,
        1.18177,
        1.1721,
        1.08577,
        1.11155,
        1.17842,
        1.1287,
        1.12708,
        1.18304,
        1.14808,
        1.14677,
        1.07129,
        1.0475,
        1.17847,
        1.19737,
        1.22521,
        1.30406,
        1.51285,
        1.4369,
        1.3737,
        1.31094,
        1.36427,
        1.11581,
        1.36399,
        1.31014,
        1.12831,
        1.16571,
        1.25572,
        1.20467,
        1.07931,
        1.15824,
        1.21516,
        1.32178,
        1.20252,
        1.07569,
        1.17208,
        1.26888,
        1.2615,
        1.25061,
        1.34098,
        1.11354,
        1.23219,
        1.31039,
        1.14753,
        1.23392,
        1.10818,
        0.99814,
        1.02232,
        1.054,
        1.22861,
        1.11526,
        1.18065,
        1.19967,
        1.10618,
        1.16656,
        1.24896,
        1.0926,
        1.26654,
        1.20899,
        1.17775,
        1.28663,
        1.23353,
        1.31863,
        1.32907,
        1.25862,
        1.32153,
        1.40715,
        1.19025,
        1.23838,
        1.54443,
        1.29144,
        1.05331,
        1.13385,
        1.22677,
        1.38034,
        1.36949,
        1.24852,
        1.27247,
        1.2239,
        1.49547,
        1.31196,
        1.45765,
        1.51142,
        1.73627,
        1.92864,
        1.0314,
        1.16928,
        1.40804,
        1.37774,
        1.23041,
        1.35927,
        1.29998,
        1.4065,
        1.48185,
        1.39726,
        1.31502,
        1.24501,
        1.34369,
        1.32811,
        1.32174,
        1.39134,
        1.32803,
        1.39941,
        1.40161,
        1.38444,
        1.3105,
        1.2897,
        1.27919,
        1.24418,
        1.23327,
        1.27414,
        1.19231,
        1.18729,
        1.12916,
        1.06899,
        0.923981,
        1.02395,
        0.899776,
        0.835648,
        0.896161,
        0.959796,
        0.949666,
        0.95596,
        0.959352,
        0.960419,
        1.02812,
        1.04737,
        1.12079,
        1.13539,
        1.20862,
        1.23439,
        1.29882,
        1.3355,
        1.37939,
        1.36616,
        1.38138,
        1.33185,
        1.40117,
        1.39665,
        1.34661,
        1.34312,
        1.35502,
        1.38244,
        1.356,
        1.43257,
        1.43829,
        1.4153,
        1.32575,
        1.32081,
        1.27691,
        1.31736,
        1.35831,
        1.32501,
        1.29308,
        1.27761,
        1.30487,
        1.28494,
        1.31203,
        1.33563,
        1.31598,
        1.32948,
        1.31427,
        1.30881,
        1.30095,
        1.2484,
        1.31569,
        1.28773,
        1.25587,
        1.29153,
        1.32363,
        1.30114,
        1.22929,
        1.21061,
        1.25269,
        1.19677,
        1.22598,
        1.26127,
        1.25326,
        1.31431,
        1.2412,
        1.31907,
        1.2824,
        1.2261,
        1.2876,
        1.26325,
        1.2094,
        1.2606,
        1.24989,
        1.29663,
        1.26117,
        1.21941,
        1.2524,
        1.20058,
        1.22551,
        1.21488,
        1.23454,
        1.22445,
        1.2132,
        1.20156,
        1.23278,
        1.18969,
        1.18984,
        1.18161,
        1.21743,
        1.22295,
        1.22491,
        1.19004,
        1.24899,
        1.24967,
        1.24353,
        1.21008,
        1.21043,
        1.18007,
        1.21372,
        1.2427,
        1.17148,
        1.17493,
        1.20383,
        1.1913,
        1.26292,
        1.25701,
        1.23051,
        1.23338,
        1.17246,
        1.18517,
        1.26782,
        1.23515,
        1.25072,
        1.29676,
        1.22822,
        1.23872,
        1.22451,
        1.25074,
        1.18339,
        1.26481,
        1.19455,
        1.26515,
        1.30885,
        1.24205,
        1.26506,
        1.21273,
        1.17474,
        1.16601,
        1.20146,
        1.33971,
        1.22422,
        1.27391,
        1.30132,
        1.2367,
        1.382,
        1.51306,
        1.37111,
        1.36107,
        1.31078,
        1.29674,
        1.32538,
        0.967285,
        1.02796,
        1.08565,
        1.07066,
        1.01057,
        1.09232,
        1.18508,
        1.20285,
        1.08098,
        1.12315,
        1.11429,
        1.21332,
        1.20573,
        1.18037,
        1.20578,
        1.17611,
        1.17355,
        1.17885,
        1.32106,
        1.30596,
        1.18064,
        1.16981,
        1.28295,
        1.23667,
        1.28437,
        1.18805,
        1.26356,
        1.2657,
        1.26879,
        1.21886,
        1.2035,
        1.18669,
        1.17278,
        1.19174,
        1.16638,
        1.2008,
        1.13605,
        1.15164,
        1.18645,
        1.18569,
        1.16206,
        1.23647,
        1.19879,
        1.23321,
        1.21428,
        1.17354,
        1.20414,
        1.24989,
        1.20577,
        1.12885,
        1.08467,
        1.12884,
        1.18528,
        1.17582,
        1.22078,
        1.21484,
        1.18868,
        1.22416,
        1.20558,
        1.21195,
        1.25314,
        1.22382,
        1.21029,
        1.26401,
        1.28107,
        1.25697,
        1.25609,
        1.21395,
        1.20787,
        1.27724,
        1.22504,
        1.18741,
        1.18945,
        1.16291,
        1.18559,
        1.25438,
        1.26966,
        1.25434,
        1.27058,
        1.25778,
        1.19082,
        1.1711,
        1.17447,
        1.25325,
        1.2125,
        1.23388,
        1.18249,
        1.19745,
        1.21044,
        1.19782,
        1.24621,
        1.27387,
        1.2172,
        1.23407,
        1.23913,
        1.26403,
        1.26777,
        1.21979,
        1.24294,
        1.26215,
        1.24058,
        1.26191,
        1.22959,
        1.13435,
        1.24554,
        1.25439,
        1.26066,
        1.23685,
        1.19671,
        1.21206,
        1.19632,
        1.29623,
        1.2463,
        1.20427,
        1.18839,
        1.2094,
        1.20779,
        1.2473,
        1.24713,
        1.26618,
        1.27537,
        1.1824,
        1.24078,
        1.20971,
        1.20751,
        1.19292,
        1.1937,
        1.15961,
        1.24897,
        1.26442,
        1.19591,
        1.18761,
        1.17903,
        1.19108,
        1.24232,
        1.20668,
        1.22031,
        1.28563,
        1.26224,
        1.28777,
        1.32665,
        1.33207,
        1.2707,
        1.2035,
        1.28743,
        1.28982,
        1.23721,
        1.2109,
        1.24078,
        1.25931,
        1.27047,
        1.27563,
        1.18161,
        1.28565,
        1.32022,
        1.32791,
        1.39628,
        1.38449,
        1.22633,
        1.24047,
        1.31781,
        1.29756,
        1.27961,
        1.26498,
        1.29525,
        null,
        1.28599,
        1.34129,
        1.31839,
        1.32298,
        1.29575,
        1.289,
        1.26993,
        1.27357,
        1.29525,
        1.22717,
        1.24611,
        1.27049,
        1.25395,
        1.23588,
        1.20991,
        1.26286,
        1.25942,
        1.2097,
        1.202,
        1.19912,
        1.18991,
        1.23964,
        1.26623,
        1.26588,
        1.26313,
        1.21499,
        1.23184,
        1.22362,
        1.22515,
        1.26056,
        1.25041,
        1.24019,
        1.21957,
        1.19145,
        1.20525,
        1.17485,
        1.21565,
        1.24361,
        1.24004,
        1.22713,
        1.224,
        1.22992,
        1.19483,
        1.23536,
        1.23554,
        1.23529,
        1.25101,
        1.18027,
        1.20478,
        1.20463,
        1.19218,
        1.20594,
        1.24452,
        1.26941,
        1.22119,
        1.21119,
        1.20651,
        1.21571,
        1.22313,
        1.23963,
        1.24954,
        1.25174,
        1.20185,
        1.19907,
        1.26393,
        1.24186,
        1.17004,
        1.17706,
        1.17421,
        1.14871,
        1.1681,
        1.23486,
        1.21213,
        1.23542,
        1.24709,
        1.2126,
        1.17855,
        1.17853,
        1.21872,
        1.21031,
        1.2077,
        1.19658,
        1.17929,
        1.20518,
        1.21352,
        1.19782,
        1.17966,
        1.16481,
        1.22653,
        1.226,
        1.2184,
        1.19695,
        1.18192,
        1.2043,
        1.26581,
        1.22314,
        1.24142,
        1.26469,
        1.23504,
        1.25494,
        1.1993,
        1.28565,
        1.25133,
        1.07125,
        1.31684,
        1.30414,
        1.26563,
        1.19741,
        1.23543,
        1.17805,
        1.12133,
        1.21015,
        1.1793,
        1.21004,
        1.24345,
        1.12357,
        1.13052,
        1.21355,
        1.18224,
        1.22789,
        1.23596,
        1.22355,
        1.21302,
        1.21042,
        1.23458,
        1.22167,
        1.21634,
        1.18361,
        1.18101,
        1.20976,
        1.23096,
        1.23013,
        1.22873,
        1.2047,
        1.22851,
        1.22208,
        1.20162,
        1.17569,
        1.20046,
        1.20771,
        1.20478,
        1.24132,
        1.25042,
        1.24437,
        1.24018,
        1.20173,
        1.16629,
        1.17057,
        1.22891,
        1.23999,
        1.20074,
        1.20231,
        1.2065,
        1.21096,
        1.21664,
        1.18955,
        1.20078,
        1.21868,
        1.20966,
        1.20157,
        1.22871,
        1.19661,
        1.20152,
        1.15814,
        1.14913,
        1.17324,
        1.19588,
        1.22546,
        1.21472,
        1.20155,
        1.18839,
        1.17178,
        1.18297,
        1.15373,
        1.15814,
        1.16137,
        1.16743,
        1.15684,
        1.13523,
        1.15071,
        1.17713,
        1.18492,
        1.20405,
        1.18556,
        1.18737,
        1.20779,
        1.18909,
        1.1902,
        1.18816,
        1.21221,
        1.21991,
        1.20367,
        1.17828,
        1.20156,
        1.22066,
        1.20774,
        1.23445,
        1.21631,
        1.23874,
        1.21216,
        1.21854,
        1.19396,
        1.20878,
        1.21477,
        1.21041,
        1.20039,
        1.20006,
        1.22104,
        1.20086,
        1.18085,
        1.17776,
        1.18887,
        1.17457,
        1.18608,
        1.21102,
        1.20221,
        1.22692,
        1.18077,
        1.17871,
        1.17409,
        1.19607,
        1.17365,
        1.18677,
        1.19539,
        1.19254,
        1.17834,
        1.18018,
        1.21083,
        1.20757,
        1.23731,
        1.24851,
        1.22604,
        1.19683,
        1.21375,
        1.21588,
        1.17901,
        1.20894,
        1.21281,
        1.21639,
        1.21794,
        1.21758,
        1.24847,
        1.20308,
        1.21525,
        1.20026,
        1.15334,
        1.16597,
        1.14396,
        1.1392,
        1.23785,
        1.24058,
        1.14146,
        1.15433,
        1.1903,
        1.16832,
        1.24831,
        1.18321,
        1.13029,
        1.12081,
        0.952706,
        0.96951,
        1.13804,
        1.17587,
        1.14434,
        1.17768,
        1.21339,
        1.13966,
        1.17874,
        1.24865,
        1.22616,
        1.14002,
        1.15052,
        1.16958,
        1.15715,
        1.14592,
        1.16523,
        1.20023,
        1.21507,
        1.23547,
        1.19364,
        1.17678,
        1.17683,
        1.20337,
        1.20929,
        1.19385,
        1.2246,
        1.21695,
        1.21642,
        1.2174,
        1.19891,
        1.18833,
        1.23529,
        1.20054,
        1.14586,
        1.15449,
        1.21183,
        1.19594,
        1.17927,
        1.1739,
        1.20723,
        1.19111,
        1.18751,
        1.17388,
        1.20233,
        1.23158,
        1.19869,
        1.17299,
        1.18146,
        1.18597,
        1.22288,
        1.2406,
        1.20734,
        1.18249,
        1.2242,
        1.23262,
        1.1993,
        1.20536,
        1.2131,
        1.22631,
        1.22969,
        1.23792,
        1.23407,
        1.22219,
        1.20796,
        1.22526,
        1.22019,
        1.25134,
        1.27703,
        1.23699,
        1.21827,
        1.21869,
        1.23556,
        1.23279,
        1.2251,
        1.21515,
        1.22046,
        1.22382,
        1.23722,
        1.23471,
        1.22854,
        1.24915,
        1.2619,
        1.25596,
        1.21281,
        1.15065,
        1.23445,
        1.21741,
        1.25608,
        1.2618,
        1.25927,
        1.27682,
        1.29764,
        1.26603,
        1.24746,
        1.24119,
        1.25575,
        1.25689,
        1.22363,
        1.2447,
        1.23425,
        1.27064,
        1.26514,
        1.23369,
        1.25347,
        1.2639,
        1.24482,
        1.24603,
        1.25049,
        1.24761,
        1.24421,
        1.23483,
        1.26794,
        1.26425,
        1.25264,
        1.27357,
        1.29223,
        1.29847,
        1.28681,
        1.28251,
        1.30828,
        1.30324,
        1.3053,
        1.32752,
        1.28662,
        1.33561,
        1.32548,
        1.27127,
        1.29242,
        1.31682,
        1.3272,
        1.31932,
        1.30606,
        1.30746,
        1.31903,
        1.29388,
        1.28935,
        1.26773,
        1.30907,
        1.31221,
        1.27164,
        1.29734,
        1.28104,
        1.26013,
        1.31807,
        1.26783,
        1.25475,
        1.21841,
        1.24221,
        1.26445,
        1.27053,
        1.3499,
        1.4715,
        1.46324,
        1.30165,
        1.13817,
        1.28102,
        1.08609,
        0.919736,
        0.91974,
        0.919856,
        0.818099,
        0.878964,
        0.939486,
        0.929292,
        1.04342,
        1.07515,
        1.0732,
        1.12054,
        1.20086,
        1.22349,
        1.2074,
        1.23586,
        1.29186,
        1.32131,
        1.34415,
        1.3142,
        1.31695,
        1.34467,
        1.36212,
        1.38041,
        1.39097,
        1.37928,
        1.39262,
        1.42118,
        1.3648,
        1.36095,
        1.36455,
        1.34385,
        1.32299,
        1.30519,
        1.30808,
        1.31904,
        1.32928,
        1.33191,
        1.3145,
        1.31256,
        1.29438,
        1.29483,
        1.27627,
        1.27961,
        1.31745,
        1.25163,
        1.29897,
        1.28203,
        1.27857,
        1.29501,
        1.28017,
        1.28412,
        1.23558,
        1.2441,
        1.24055,
        1.24317,
        1.25916,
        1.28674,
        1.24146,
        1.23018,
        1.25185,
        1.23288,
        1.2744,
        1.26375,
        1.25764,
        1.25352,
        1.26733,
        1.21305,
        1.21414,
        1.24083,
        1.24571,
        1.18367,
        1.19575,
        1.20676,
        1.22539,
        1.21161,
        1.20806,
        1.1985,
        1.20078,
        1.22847,
        1.23843,
        1.19899,
        1.19594,
        1.21663,
        1.20987,
        1.22874,
        1.21554,
        1.26228,
        1.2488,
        1.19586,
        1.19006,
        1.17618,
        1.19453,
        1.20938,
        1.18403,
        1.20492,
        1.22763,
        1.21919,
        1.22308,
        1.21112,
        1.22677,
        1.24798,
        1.23788,
        1.22379,
        1.24292,
        1.20387,
        1.19918,
        1.21434,
        1.21958,
        1.20793,
        1.20243,
        1.2043,
        1.22368,
        1.21711,
        1.21397,
        1.18933,
        1.2161,
        1.18653,
        1.18116,
        1.1833,
        1.19551,
        1.21177,
        1.24146,
        1.21265,
        1.21844,
        1.22181,
        1.19057,
        1.21278,
        1.19255,
        1.18621,
        1.17253,
        1.18058,
        1.16161,
        1.1965,
        1.18483,
        1.20458,
        1.16193,
        1.17359,
        1.1463,
        1.24267,
        1.25608,
        1.19641,
        1.18511,
        1.22711,
        1.21902,
        1.17211,
        1.18447,
        1.16624,
        1.14084,
        1.19108,
        1.19555,
        1.21446,
        1.24311,
        1.19893,
        1.19505,
        1.20058,
        1.17354,
        1.24393,
        1.16005,
        1.12051,
        1.12451,
        1.18189,
        1.20075,
        1.03456,
        1.03674,
        1.08626,
        1.16532,
        1.15063,
        1.11401,
        1.13819,
        1.18017,
        1.15909,
        1.16934,
        1.1532,
        1.17197,
        1.19389,
        1.20987,
        1.17802,
        1.18942,
        1.21615,
        1.21307,
        1.22718,
        1.18374,
        1.2049,
        1.22361,
        1.21194,
        1.22335,
        1.20875,
        1.20601,
        1.24392,
        1.24108,
        1.23037,
        1.20305,
        1.20562,
        1.18913,
        1.1896,
        1.22147,
        1.20065,
        1.18182,
        1.18207,
        1.19418,
        1.21181,
        1.17158,
        1.18291,
        1.16665,
        1.19876,
        1.20228,
        1.19046,
        1.20268,
        1.22124,
        1.22346,
        1.19258,
        1.17867,
        1.1753,
        1.18223,
        1.20463,
        1.19209,
        1.20651,
        1.26517,
        1.29766,
        1.26566,
        1.17533,
        1.2353,
        1.19223,
        1.17133,
        1.20494,
        1.23109,
        1.20687,
        1.18534,
        1.21833,
        1.1931,
        1.21107,
        1.18309,
        1.16957,
        1.21363,
        1.23102,
        1.21966,
        1.20587,
        1.17812,
        1.19202,
        1.16877,
        1.20037,
        1.21026,
        1.15566,
        1.14955,
        1.21249,
        1.21182,
        1.18459,
        1.16465,
        1.19841,
        1.2279,
        1.23219,
        1.20372,
        1.19485,
        1.20985,
        1.18883,
        1.2038,
        1.21653,
        1.22985,
        1.25891,
        1.22191,
        1.22976,
        1.22668,
        1.21298,
        1.17785,
        1.19048,
        1.21254,
        1.23565,
        1.22662,
        1.19286,
        1.17235,
        1.17708,
        1.20444,
        1.20242,
        1.18486,
        1.17925,
        1.19752,
        1.18594,
        1.22489,
        1.22534,
        1.22724,
        1.1903,
        1.19592,
        1.21542,
        1.20566,
        1.19476,
        1.18291,
        1.21043,
        1.20639,
        1.20867,
        1.20505,
        1.19809,
        1.18283,
        1.16889,
        1.20159,
        1.19848,
        1.17478,
        1.19396,
        1.2029,
        1.22326,
        1.20161,
        1.20523,
        1.19258,
        1.13955,
        1.15789,
        1.21781,
        1.23657,
        1.18167,
        1.16837,
        1.18235,
        1.19338,
        1.19644,
        1.20814,
        1.24352,
        1.17969,
        1.15505,
        1.2154,
        1.19034,
        1.10844,
        1.23205,
        1.14945,
        0.918251,
        0.983737,
        1.08659,
        1.19714,
        1.19754,
        1.14958,
        1.25118,
        1.22217,
        1.28224,
        1.2757,
        1.16439,
        1.13336,
        1.21921,
        1.23936,
        1.24634,
        1.23003,
        1.22517,
        1.22402,
        1.18183,
        1.16259,
        1.19013,
        1.21326,
        1.24884,
        1.30223,
        1.26608,
        1.25305,
        1.27432,
        1.22929,
        1.1888,
        1.21606,
        1.21266,
        1.20767,
        1.19342,
        1.21745,
        1.23818,
        1.25448,
        1.24404,
        1.22189,
        1.22436,
        1.20472,
        1.18404,
        1.17088,
        1.20782,
        1.25192,
        1.25548,
        1.24789,
        1.20411,
        1.2369,
        1.2474,
        1.25318,
        1.26001,
        1.21569,
        1.23077,
        1.26487,
        1.27188,
        1.26869,
        1.28938,
        1.26629,
        1.23996,
        1.24466,
        1.24839,
        1.21384,
        1.23632,
        1.25054,
        1.2207,
        1.23129,
        1.27994,
        1.27154,
        1.27034,
        1.25365,
        1.25887,
        1.26471,
        1.27456,
        1.27416,
        1.24915,
        1.25135,
        1.26419,
        1.26115,
        1.27695,
        1.2475,
        1.24319,
        1.24602,
        1.26452,
        1.25515,
        1.23114,
        1.24472,
        1.23321,
        1.24016,
        1.26469,
        1.24075,
        1.25184,
        1.2765,
        1.27478,
        1.27327,
        1.27227,
        1.24638,
        1.25258,
        1.25104,
        1.2636,
        1.27431,
        1.28046,
        1.25276,
        1.24035,
        1.25047,
        1.27157,
        1.28389,
        1.26682,
        1.2932,
        1.27923,
        1.22158,
        1.21081,
        1.24157,
        1.24641,
        1.26023,
        1.2643,
        1.25732,
        1.26505,
        1.2724,
        1.28233,
        1.28159,
        1.27267,
        1.28061,
        1.26828,
        1.26749,
        1.25667,
        1.27013,
        1.25425,
        1.2668,
        1.27459,
        1.27201,
        1.2922,
        1.32714,
        1.29776,
        1.312,
        1.36278,
        1.33193,
        1.33401,
        1.31871,
        1.30531,
        1.29676,
        1.3118,
        1.3267,
        1.29357,
        1.2721,
        1.26266,
        1.30879,
        1.31009,
        1.30364,
        1.28107,
        1.25072,
        1.28308,
        1.33069,
        1.35977,
        1.32906,
        1.28516,
        1.31158,
        1.32026,
        1.353,
        1.298,
        1.31265,
        1.37131,
        1.32853,
        1.32842,
        1.33559,
        1.30947,
        1.41678,
        1.26524,
        1.20085,
        1.23973,
        1.28096,
        0.976042,
        0.837219,
        0.843805,
        0.978739,
        1.00929,
        1.02638,
        1.02792,
        1.08294,
        1.1709,
        1.21369,
        1.24739,
        1.28405,
        1.33654,
        1.327,
        1.3141,
        1.43289,
        1.40971,
        1.36662,
        1.34044,
        1.40912,
        1.39549,
        1.34752,
        1.33492,
        1.34598,
        1.37295,
        1.33255,
        1.32982,
        1.3169,
        1.32791,
        1.34526,
        1.31686,
        1.30758,
        1.28098,
        1.29637,
        1.29352,
        1.30062,
        1.31055,
        1.30496,
        1.31664,
        1.26453,
        1.24202,
        1.21752,
        1.24243,
        1.23991,
        1.24522,
        1.23836,
        1.25292,
        1.27973,
        1.29071,
        1.26015,
        1.25643,
        1.23404,
        1.21846,
        1.22531,
        1.24935,
        1.22494,
        1.21651,
        1.23909,
        1.23807,
        1.21326,
        1.18275,
        1.22679,
        1.23992,
        1.2029,
        1.24291,
        1.20063,
        1.19049,
        1.20403,
        1.20808,
        1.19463,
        1.24843,
        1.24554,
        1.21554,
        1.22747,
        1.23752,
        1.21267,
        1.17555,
        1.20029,
        1.20376,
        1.23232,
        1.25686,
        1.23199,
        1.23937,
        1.23141,
        1.20854,
        1.20812,
        1.20991,
        1.18332,
        1.16991,
        1.18343,
        1.19335,
        1.2154,
        1.2125,
        1.20753,
        1.22707,
        1.20642,
        1.15533,
        1.21271,
        1.23121,
        1.23084,
        1.21053,
        1.18391,
        1.15724,
        1.2046,
        1.19159,
        1.16762,
        1.17182,
        1.18307,
        1.19581,
        1.20247,
        1.20871,
        1.2061,
        1.20152,
        1.19368,
        1.22033,
        1.19166,
        1.18081,
        1.16304,
        1.14597,
        1.17745,
        1.13199,
        1.12448,
        1.16041,
        1.17887,
        1.19008,
        1.16044,
        1.16136,
        1.11889,
        1.15125,
        1.17049,
        1.11751,
        1.15492,
        1.19851,
        1.18209,
        1.15239,
        1.14159,
        1.19984,
        1.20332,
        1.17865,
        1.22232,
        1.25703,
        1.20954,
        1.20389,
        1.2325,
        1.24144,
        1.25286,
        1.23582,
        1.21071,
        1.2274,
        1.21383,
        1.21488,
        1.20551,
        1.19469,
        1.16068,
        1.18346,
        1.19838,
        1.20622,
        1.20224,
        1.21312,
        1.19554,
        1.21335,
        1.15858,
        1.13513,
        1.1742,
        1.17558,
        1.16277,
        1.09989,
        1.05918,
        1.03534,
        1.09773,
        1.30368,
        1.37282,
        1.42221,
        1.25079,
        1.17133,
        1.28374,
        1.23434,
        1.20972,
        1.22169,
        1.24094,
        1.19267,
        1.17929,
        1.21251,
        1.20213,
        1.18867,
        1.20885,
        1.17593,
        1.19697,
        1.20002,
        1.19626,
        1.19507,
        1.20874,
        1.19406,
        1.20114,
        1.20407,
        1.22068,
        1.18381,
        1.15542,
        1.20388,
        1.23609,
        1.22631,
        1.22636,
        1.23752,
        1.2289,
        1.23558,
        1.25799,
        1.23152,
        1.22245,
        1.2066,
        1.2253,
        1.17841,
        1.21338,
        1.18904,
        1.21583,
        1.20958,
        1.22119,
        1.21969,
        1.23112,
        1.22652,
        1.19981,
        1.17754,
        1.17297,
        1.20132,
        1.22423,
        1.20822,
        1.19508,
        1.20219,
        1.2278,
        1.21145,
        1.19545,
        1.22487,
        1.24013,
        1.26053,
        1.22817,
        1.2344,
        1.18945,
        1.1614,
        1.17823,
        1.15847,
        1.19844,
        1.22479,
        1.24385,
        1.26814,
        1.22865,
        1.21488,
        1.20746,
        1.20848,
        1.20722,
        1.21941,
        1.22723,
        1.21845,
        1.20545,
        1.18906,
        1.17863,
        1.18868,
        1.20213,
        1.19135,
        1.19566,
        1.21091,
        1.20736,
        1.2307,
        1.23655,
        1.21597,
        1.20551,
        1.19878,
        1.23066,
        1.22856,
        1.21823,
        1.20533,
        1.198,
        1.22212,
        1.24753,
        1.22266,
        1.22878,
        1.20243,
        1.1958,
        1.21446,
        1.24323,
        1.21458,
        1.21463,
        1.22517,
        1.19975,
        1.21188,
        1.2319,
        1.17581,
        1.19624,
        1.20504,
        1.20645,
        1.19889,
        1.18054,
        1.21057,
        1.19901,
        1.16201,
        1.17961,
        1.20118,
        1.2433,
        1.23423,
        1.20126,
        1.19521,
        1.19974,
        1.19981,
        1.18674,
        1.21812,
        1.22052,
        1.23274,
        1.19221,
        1.18779,
        1.22474,
        1.2255,
        1.22626,
        1.23271,
        1.21901,
        1.18448,
        1.19107,
        1.203,
        1.2214,
        1.1995,
        1.19763,
        1.18539,
        1.20643,
        1.23384,
        1.23489,
        1.20158,
        1.20759,
        1.21867,
        1.20822,
        1.16794,
        1.16919,
        1.19085,
        1.15589,
        1.1714,
        1.21409,
        1.16123,
        1.22354,
        1.18796,
        1.16053,
        1.12967,
        1.18211,
        1.21417,
        1.20397,
        1.14751,
        1.18316,
        1.15306,
        1.14607,
        1.15522,
        0.997046,
        1.11647,
        1.06574,
        0.990402,
        1.05991,
        1.1983,
        1.12495,
        1.14236,
        1.19827,
        1.21316,
        1.23845,
        1.20236,
        1.20768,
        1.19071,
        1.19446,
        1.18834,
        1.24213,
        1.22064,
        1.19101,
        1.19555,
        1.24558,
        1.22554,
        1.22462,
        1.24351,
        1.221,
        1.25407,
        1.25905,
        1.21971,
        1.23734,
        1.1904,
        1.19872,
        1.21612,
        1.20569,
        1.22786,
        1.24023,
        1.21937,
        1.24698,
        1.25338,
        1.2612,
        1.25254,
        1.22317,
        1.20726,
        1.26098,
        1.23557,
        1.20292,
        1.23123,
        1.258,
        1.25526,
        1.26315,
        1.26299,
        1.25835,
        1.23648,
        1.20358,
        1.18887,
        1.17948,
        1.19897,
        1.23368,
        1.24268,
        1.24175,
        1.2365,
        1.24576,
        1.19878,
        1.17663,
        1.20247,
        1.22747,
        1.22625,
        1.23919,
        1.2144,
        1.21976,
        1.21806,
        1.24958,
        1.24845,
        1.28691,
        1.237,
        1.19738,
        1.23094,
        1.26709,
        1.24251,
        1.25562,
        1.20042,
        1.28379,
        1.28127,
        1.1927,
        1.23467,
        1.26422,
        1.26503,
        1.2728,
        1.2598,
        1.20677,
        1.19098,
        1.25507,
        1.22734,
        1.24186,
        1.2718,
        1.26719,
        1.23319,
        1.2177,
        1.27186,
        1.35353,
        1.24966,
        1.30642,
        1.31863,
        1.24409,
        1.17548,
        1.19088,
        1.28849,
        1.2808,
        1.25675,
        1.30301,
        1.15101,
        1.51701,
        1.41689,
        1.56328,
        1.25283,
        1.23038,
        1.10875,
        1.17518,
        1.33178,
        1.27489,
        1.19619,
        1.04053,
        1.23728,
        1.27134,
        1.28738,
        1.23349,
        1.31054,
        1.30011,
        1.30545,
        1.26433,
        1.39625,
        1.39604,
        1.31207,
        1.26154,
        1.23684,
        1.22389,
        1.22214,
        1.32694,
        1.31675,
        1.22813,
        1.23005,
        1.28608,
        1.3171,
        1.30836,
        1.28556,
        1.25672,
        1.25706,
        1.27793,
        1.35217,
        1.30638,
        1.33532,
        1.33869,
        1.35022,
        1.33214,
        1.33349,
        1.27454,
        1.33792,
        1.38885,
        1.42687,
        1.36417,
        1.37847,
        1.31417,
        1.3997,
        1.43986,
        1.40551,
        1.50835,
        1.42584,
        1.37451,
        1.32605,
        0.936295,
        0.883723,
        0.783784,
        0.956437,
        0.923322,
        0.945231,
        0.919203,
        0.955818,
        1.00652,
        1.04748,
        1.05292,
        1.15187,
        1.15566,
        1.21721,
        1.26351,
        1.27067,
        1.29602,
        1.33934,
        1.35764,
        1.35507,
        1.31499,
        1.3256,
        1.34194,
        1.33675,
        1.34136,
        1.33359,
        1.2994,
        1.32874,
        1.39258,
        1.35311,
        1.3336,
        1.31337,
        1.37718,
        1.33472,
        1.32051,
        1.34235,
        1.30767,
        1.28559,
        1.32587,
        1.31027,
        1.36889,
        1.3411,
        1.29887,
        1.32371,
        1.30098,
        1.28997,
        1.29857,
        1.30417,
        1.29369,
        1.24958,
        1.2788,
        1.24084,
        1.20854,
        1.24607,
        1.26235,
        1.24562,
        1.23682,
        1.23915,
        1.19825,
        1.21786,
        1.21375,
        1.22026,
        1.19926,
        1.19891,
        1.19854,
        1.20616,
        1.18216,
        1.15227,
        1.19246,
        1.20397,
        1.17176,
        1.21031,
        1.20691,
        1.20658,
        1.20618,
        1.17568,
        1.23328,
        1.18275,
        1.17631,
        1.2133,
        1.20562,
        1.24293,
        1.21941,
        1.24307,
        1.19005,
        1.23448,
        1.20869,
        1.23753,
        1.19122,
        1.21426,
        1.19684,
        1.21385,
        1.19219,
        1.21547,
        1.19053,
        1.2056,
        1.17591,
        1.16814,
        1.18307,
        1.2007,
        1.23371,
        1.18913,
        1.19126,
        1.23676,
        1.22523,
        1.21493,
        1.24597,
        1.18935,
        1.18899,
        1.20166,
        1.21064,
        1.16736,
        1.19511,
        1.18383,
        1.17543,
        1.18476,
        1.21302,
        1.18907,
        1.17132,
        1.18651,
        1.21477,
        1.23118,
        1.19939,
        1.23104,
        1.19984,
        1.28997,
        1.24268,
        1.24646,
        1.17385,
        1.18186,
        1.15996,
        1.15887,
        1.20672,
        1.22725,
        1.22428,
        1.18898,
        1.22847,
        1.18235,
        1.15207,
        1.17521,
        1.23035,
        1.1847,
        1.18456,
        1.22311,
        1.18599,
        1.14174,
        1.14615,
        1.14515,
        1.18443,
        1.19531,
        1.1986,
        1.16163,
        1.14076,
        1.16705,
        1.20759,
        1.20299,
        1.14845,
        1.1836,
        1.14794,
        1.13336,
        1.22534,
        1.24211,
        1.21121,
        1.24655,
        1.19114,
        1.15172,
        1.20888,
        1.16777,
        1.22088,
        1.21843,
        1.27244,
        1.24205,
        1.18336,
        1.18909,
        1.15285,
        1.1944,
        1.25779,
        1.26025,
        1.39436,
        1.33631,
        1.34879,
        1.28541,
        1.05104,
        1.109,
        1.01339,
        1.05593,
        0.949748,
        1.12937,
        1.13919,
        1.11561,
        1.13123,
        1.22586,
        1.13832,
        1.15844,
        1.26732,
        1.10605,
        1.15674,
        1.11236,
        1.16496,
        1.24936,
        1.2531,
        1.22321,
        1.27262,
        1.26352,
        1.22394,
        1.16852,
        1.14783,
        1.24342,
        1.20888,
        1.18121,
        0.969081,
        1.2663,
        1.26304,
        1.47962,
        1.30878,
        1.32416,
        1.20864,
        1.30078,
        1.29716,
        1.13079,
        1.27751,
        1.39159,
        1.14857,
        1.11905,
        1.09692,
        1.08117,
        1.16846,
        1.27455,
        1.15244,
        1.17786,
        1.25038,
        1.21103,
        1.11767,
        1.13751,
        1.06695,
        1.02574,
        1.15604,
        1.22691,
        1.27752,
        1.20359,
        1.18351,
        1.22091,
        1.07969,
        1.05737,
        1.17077,
        1.21929,
        1.17381,
        1.19964,
        1.19919,
        1.18402,
        1.04935,
        1.17321,
        1.30777,
        1.23238,
        1.20923,
        1.15526,
        1.17355,
        1.13765,
        1.2327,
        1.22743,
        1.20209,
        1.16131,
        1.2228,
        1.28033,
        1.20127,
        1.11556,
        1.16296,
        1.1536,
        1.15934,
        1.17992,
        1.21844,
        1.2619,
        1.27388,
        1.22509,
        1.28442,
        1.2052,
        1.14287,
        1.18823,
        1.24349,
        1.23746,
        1.22223,
        1.27038,
        1.21754,
        1.25818,
        1.24164,
        1.23227,
        1.15956,
        1.25345,
        1.26979,
        1.18407,
        1.16493,
        1.18044,
        1.19065,
        1.20179,
        1.19638,
        1.18316,
        1.19257,
        1.22465,
        1.28466,
        1.1924,
        1.28313,
        1.19261,
        1.22084,
        1.1476,
        1.27862,
        1.25743,
        1.24348,
        1.22033,
        1.25259,
        1.20428,
        1.25369,
        1.21804,
        1.26645,
        1.17978,
        1.24416,
        1.26632,
        1.26575,
        1.37914,
        1.42785,
        1.34378,
        1.30963,
        1.7801,
        1.91722,
        2.33307,
        2.13181,
        2.15068,
        1.22221,
        1.01464,
        0.759134,
        0.937374,
        0.918629,
        0.787793,
        0.954437,
        1.15959,
        1.06729,
        1.13554,
        1.15103,
        1.14896,
        1.11038,
        1.08318,
        1.16465,
        1.26339,
        1.27011,
        1.23571,
        1.20546,
        1.20594,
        1.23697,
        1.30123,
        1.27787,
        1.24963,
        1.25091,
        1.26119,
        1.25387,
        1.24134,
        1.18123,
        1.23431,
        1.25272,
        1.24837,
        1.17532,
        1.24532,
        1.19106,
        1.22127,
        1.28604,
        1.2197,
        1.21083,
        1.26043,
        1.28405,
        1.23089,
        1.23555,
        1.25163,
        1.2018,
        1.24389,
        1.30564,
        1.26492,
        1.25803,
        1.25477,
        1.25653,
        1.19506,
        1.15129,
        1.23588,
        1.21432,
        1.26202,
        1.23486,
        1.20017,
        1.18211,
        1.15263,
        1.21896,
        1.24204,
        1.22087,
        1.24392,
        1.29094,
        1.26098,
        1.21008,
        1.23351,
        1.18657,
        1.23111,
        1.2834,
        1.30732,
        1.26825,
        1.30623,
        1.23576,
        1.29304,
        1.27886,
        1.17715,
        1.28839,
        1.25395,
        1.2465,
        1.23533,
        1.21442,
        1.21503,
        1.24882,
        null,
        1.28895,
        1.20738,
        1.23229,
        1.25674,
        1.24209,
        1.21387,
        1.23321,
        1.16326,
        1.16329,
        1.1953,
        1.21555,
        1.18587,
        1.15239,
        1.18187,
        1.20224,
        1.1979,
        1.13974,
        1.1525,
        1.18502,
        1.18359,
        1.17316,
        1.25183,
        1.25939,
        1.20011,
        1.17695,
        1.18452,
        1.18828,
        1.21675,
        1.2394,
        1.1974,
        1.1984,
        1.16625,
        1.19954,
        1.24564,
        1.22561,
        1.20895,
        1.19441,
        1.18321,
        1.18188,
        1.18828,
        1.18296,
        1.18104,
        1.14866,
        1.18325,
        1.24948,
        1.21859,
        1.1938,
        1.19913,
        1.17072,
        1.17673,
        1.17166,
        1.18925,
        1.18196,
        1.14199,
        1.14711,
        1.1821,
        1.21772,
        1.21369,
        1.20855,
        1.2258,
        1.21015,
        1.20466,
        1.20675,
        1.2187,
        1.21793,
        1.19055,
        1.19476,
        1.20377,
        1.19516,
        1.20738,
        1.22071,
        1.21535,
        1.14417,
        1.19677,
        1.1981,
        1.20655,
        1.22555,
        1.23086,
        1.2265,
        1.21244,
        1.18954,
        1.21298,
        1.23829,
        1.21283,
        1.20982,
        1.19588,
        1.19252,
        1.19036,
        1.22036,
        1.23117,
        1.21201,
        1.22016,
        1.24225,
        1.25499,
        1.22645,
        1.19837,
        1.19007,
        1.21241,
        1.19198,
        1.20514,
        1.23468,
        1.22494,
        1.19409,
        1.21506,
        1.18328,
        1.21136,
        1.23415,
        1.22879,
        1.21872,
        1.20305,
        1.20436,
        1.22609,
        1.23348,
        1.23662,
        1.20986,
        1.23489,
        1.24461,
        1.21581,
        1.19332,
        1.19034,
        1.21419,
        1.23553,
        1.19718,
        1.20465,
        1.19195,
        1.19527,
        1.21098,
        1.20241,
        1.21147,
        1.21506,
        1.20273,
        1.22284,
        1.25849,
        1.25477,
        1.25804,
        1.24038,
        1.21432,
        1.20921,
        1.2048,
        1.22467,
        1.26149,
        1.28671,
        1.25791,
        1.24634,
        1.25381,
        1.24895,
        1.24518,
        1.2303,
        1.20891,
        1.26844,
        1.27181,
        1.23599,
        1.24265,
        1.22925,
        1.25345,
        1.22598,
        1.2026,
        1.24416,
        1.24488,
        1.22669,
        1.18667,
        1.17751,
        1.24042,
        1.31923,
        1.29233,
        1.22146,
        1.21463,
        1.17653,
        1.15813,
        1.19697,
        1.24351,
        1.21384,
        1.2285,
        1.16498,
        1.17225,
        1.21833,
        1.25119,
        1.22202,
        1.26208,
        1.23033,
        1.23508,
        1.22652,
        1.23036,
        1.25455,
        1.2519,
        1.2569,
        1.24194,
        1.26854,
        1.26573,
        1.26913,
        1.23835,
        1.2289,
        1.23582,
        1.25226,
        1.27166,
        1.24672,
        1.2306,
        1.24685,
        1.22149,
        1.22265,
        1.17155,
        1.17593,
        1.23815,
        1.25317,
        1.23415,
        1.2301,
        1.24705,
        1.25547,
        1.24243,
        1.21913,
        1.23487,
        1.26663,
        1.22342,
        1.25424,
        1.25936,
        1.2488,
        1.21255,
        1.22709,
        1.23332,
        1.19803,
        1.18537,
        1.23859,
        1.23546,
        1.23015,
        1.14821,
        1.15353,
        1.20203,
        1.26188,
        1.26628,
        1.2157,
        1.22786,
        1.18528,
        1.2254,
        1.21461,
        1.19498,
        1.22721,
        1.21962,
        1.18124,
        1.22442,
        1.19421,
        1.23454,
        1.19416,
        1.18222,
        1.14338,
        1.15908,
        1.22714,
        1.23048,
        1.26017,
        1.26794,
        1.24808,
        1.16455,
        1.15664,
        1.28844,
        1.26961,
        1.20501,
        1.1396,
        1.09901,
        1.22424,
        1.09975,
        1.33192,
        1.38333,
        1.32171,
        1.50765,
        1.08225,
        1.14721,
        1.0111,
        1.16011,
        1.14115,
        1.14351,
        1.23194,
        1.28969,
        1.31167,
        1.30383,
        1.26722,
        1.29453,
        1.18672,
        1.13589,
        1.20196,
        1.13526,
        1.17536,
        1.13829,
        1.17731,
        1.18641,
        1.24139,
        1.23289,
        1.25915,
        1.2154,
        1.20398,
        1.24894,
        1.1755,
        1.23976,
        1.2142,
        1.20445,
        1.25877,
        1.24746,
        1.30019,
        1.309,
        1.20837,
        1.23207,
        1.26893,
        1.28006,
        1.31471,
        1.30496,
        1.27637,
        1.27925,
        1.30878,
        1.29311,
        1.27256,
        1.27762,
        1.31565,
        1.28937,
        1.26963,
        1.28055,
        1.28492,
        1.32437,
        1.30423,
        1.30075,
        1.29205,
        1.3569,
        1.25238,
        1.29805,
        1.29131,
        1.2176,
        1.24531,
        1.29699,
        1.29656,
        1.33151,
        1.37963,
        1.35462,
        1.3541,
        1.31829,
        1.33526,
        1.32374,
        1.32804,
        1.38679,
        1.28266,
        1.294,
        1.29574,
        1.31765,
        1.30668,
        1.27453,
        1.24811,
        1.19103,
        1.12201,
        1.06024,
        1.02061,
        1.00166,
        1.00566,
        1.0069,
        0.990646,
        0.998366,
        1.01893,
        1.02416,
        1.06796,
        1.10093,
        1.13074,
        1.17611,
        1.2096,
        1.28282,
        1.31641,
        1.30633,
        1.34946,
        1.34893,
        1.34459,
        1.35709,
        1.34272,
        1.36063,
        1.38109,
        1.3912,
        1.38257,
        1.37251,
        1.35111,
        1.36387,
        1.34287,
        1.35436,
        1.35755,
        1.35239,
        1.33514,
        1.30999,
        1.30129,
        1.31065,
        1.32501,
        1.3216,
        1.2927,
        1.28181,
        1.28658,
        1.27685,
        1.28852,
        1.30004,
        1.27888,
        1.29325,
        1.27891,
        1.27655,
        1.22641,
        1.25528,
        1.25667,
        1.2605,
        1.24792,
        1.26606,
        1.23637,
        1.2384,
        1.24449,
        1.21277,
        1.20138,
        1.19767,
        1.20812,
        1.20113,
        1.21547,
        1.21466,
        1.22459,
        1.24013,
        1.21203,
        1.20947,
        1.2144,
        1.23787,
        1.22615,
        1.21009,
        1.18874,
        1.19723,
        1.19737,
        1.19882,
        1.21621,
        1.20069,
        1.21311,
        1.21937,
        1.22713,
        1.21178,
        1.21036,
        1.19619,
        1.21276,
        1.2159,
        1.20573,
        1.18961,
        1.19739,
        1.23442,
        1.20633,
        1.2336,
        1.23877,
        1.22993,
        1.19735,
        1.20202,
        1.22554,
        1.20826,
        1.19945,
        1.20247,
        1.20315,
        1.21588,
        1.21869,
        1.19871,
        1.21099,
        1.17589,
        1.18428,
        1.18014,
        1.18596,
        1.20721,
        1.19157,
        1.19013,
        1.19181,
        1.1872,
        1.15589,
        1.1894,
        1.22035,
        1.21593,
        1.19402,
        1.20473,
        1.20461,
        1.19866,
        1.20044,
        1.19899,
        1.17698,
        1.17162,
        1.20151,
        1.16562,
        1.19095,
        1.1896,
        1.22208,
        1.23622,
        1.23512,
        1.22354,
        1.23681,
        1.24027,
        1.22613,
        1.22646,
        1.21768,
        1.21489,
        1.20537,
        1.234,
        1.21479,
        1.21777,
        1.22225,
        1.24532,
        1.24133,
        1.2556,
        1.16949,
        1.171,
        1.15901,
        1.20535,
        1.23083,
        1.23564,
        1.21261,
        1.21087,
        1.17436,
        1.21765,
        1.199,
        1.21417,
        1.19408,
        1.20322,
        1.2038,
        1.19662,
        1.20014,
        1.19561,
        1.17554,
        1.20784,
        1.20615,
        1.16382,
        1.19319,
        1.23082,
        1.24026,
        1.22228,
        1.21495,
        1.16959,
        1.19196,
        1.21313,
        1.20594,
        1.20201,
        1.20206,
        1.20844,
        1.203,
        1.21556,
        1.21121,
        1.2262,
        1.24301,
        1.21663,
        1.22929,
        1.19825,
        1.225,
        1.22223,
        1.19349,
        1.226,
        1.21377,
        1.23037,
        1.22343,
        1.25365,
        1.22849,
        1.25456,
        1.23991,
        1.21225,
        1.21359,
        1.1987,
        1.2042,
        1.25782,
        1.23095,
        1.18916,
        1.22432,
        1.22509,
        1.19649,
        1.20652,
        1.19372,
        1.21448,
        1.2096,
        1.17681,
        1.18271,
        1.19629,
        1.18784,
        1.19291,
        1.19984,
        1.22362,
        1.2088,
        1.18601,
        1.1761,
        1.19624,
        1.22655,
        1.23932,
        1.21107,
        1.22002,
        1.21702,
        1.20369,
        1.2194,
        1.20976,
        1.23862,
        1.22858,
        1.21298,
        1.23313,
        1.22932,
        1.21789,
        1.20668,
        1.19863,
        1.2084,
        1.21743,
        1.21552,
        1.2154,
        1.2162,
        1.24882,
        1.22383,
        1.22292,
        1.23169,
        1.2318,
        1.23988,
        1.22647,
        1.19783,
        1.20486,
        1.19681,
        1.21405,
        1.18692,
        1.21217,
        1.22264,
        1.19789,
        1.19873,
        1.20708,
        1.22335,
        1.19926,
        1.20391,
        1.17006,
        1.20926,
        1.24586,
        1.23722,
        1.24627,
        1.21331,
        1.21496,
        1.26072,
        1.24076,
        1.26107,
        1.23556,
        1.23804,
        1.24834,
        1.22348,
        1.24894,
        1.21742,
        1.20039,
        1.25268,
        1.26438,
        1.18456,
        1.20948,
        1.26038,
        1.22568,
        1.20188,
        1.24587,
        1.24269,
        1.19301,
        1.23119,
        1.23375,
        1.15403,
        1.34301,
        1.28431,
        1.24586,
        1.31951,
        1.10612,
        1.14676,
        1.07309,
        1.12522,
        1.22461,
        1.15719,
        1.31966,
        1.19043,
        1.17198,
        1.17597,
        1.28134,
        1.15513,
        1.26537,
        1.23705,
        1.32345,
        1.29499,
        1.26874,
        1.18147,
        1.21655,
        1.20293,
        1.22209,
        1.22173,
        1.27645,
        1.24607,
        1.27907,
        1.2735,
        1.25193,
        1.28043,
        1.27754,
        1.25769,
        1.27939,
        1.26779,
        1.27144,
        1.25163,
        1.23847,
        1.2382,
        1.24085,
        1.24703,
        1.23746,
        1.27307,
        1.23149,
        1.21839,
        1.23788,
        1.23571,
        1.25801,
        1.2442,
        1.22024,
        1.24075,
        1.23274,
        1.24301,
        1.25737,
        1.27067,
        1.23921,
        1.25988,
        1.2335,
        1.24633,
        1.26449,
        1.22255,
        1.25374,
        1.2556,
        1.25602,
        1.22701,
        1.26157,
        1.26695,
        1.24076,
        1.24705,
        1.23655,
        1.22925,
        1.21099,
        1.20049,
        1.2074,
        1.2572,
        1.24964,
        1.22451,
        1.23223,
        1.22389,
        1.2175,
        1.23652,
        1.24079,
        1.22498,
        1.25795,
        1.27332,
        1.23465,
        1.2225,
        1.25919,
        1.27228,
        1.23775,
        1.24653,
        1.25673,
        1.25558,
        1.25107,
        1.21825,
        1.20121,
        1.20346,
        1.2341,
        1.23751,
        1.21889,
        1.21949,
        1.21934,
        1.22278,
        1.22664,
        1.24371,
        1.23983,
        1.22805,
        1.22315,
        1.21074,
        1.18311,
        1.18174,
        1.22923,
        1.22053,
        1.21404,
        1.21102,
        1.23066,
        1.19716,
        1.19788,
        1.20563,
        1.19971,
        1.2207,
        1.18925,
        1.14732,
        1.16688,
        1.15531,
        1.17573,
        1.20556,
        1.17246,
        1.16915,
        1.19716,
        1.19018,
        1.19797,
        1.20046,
        1.23951,
        1.2228,
        1.22019,
        1.20345,
        1.22003,
        1.21153,
        1.2516,
        1.24008,
        1.24352,
        1.22544,
        1.21542,
        1.22202,
        1.2326,
        1.20774,
        1.22653,
        1.23158,
        1.22088,
        1.22632,
        1.21125,
        1.20517,
        1.20021,
        1.20581,
        1.20755,
        1.19241,
        1.22171,
        1.21092,
        1.2144,
        1.20377,
        1.232,
        1.23411,
        1.21588,
        1.22374,
        1.24583,
        1.22879,
        1.21829,
        1.23832,
        1.23609,
        1.25758,
        1.27801,
        1.28631,
        1.28035,
        1.24219,
        1.18482,
        1.21035,
        1.21639,
        1.23055,
        1.21981,
        1.25939,
        1.25327,
        1.24695,
        1.22764,
        1.2232,
        1.22702,
        1.24015,
        1.22282,
        1.24913,
        1.27099,
        1.25423,
        1.25873,
        1.26848,
        1.245,
        1.27276,
        1.32096,
        1.26561,
        1.21604,
        1.25387,
        1.2247,
        1.21248,
        1.23121,
        1.29026,
        1.27589,
        1.26491,
        1.28297,
        1.29071,
        1.26905,
        1.32069,
        1.33087,
        1.29852,
        1.28921,
        1.3029,
        1.30302,
        1.30032,
        1.28949,
        1.31701,
        1.31667,
        1.27793,
        1.29208,
        1.31681,
        1.32235,
        1.32048,
        1.32817,
        1.3051,
        1.30626,
        1.3016,
        1.30526,
        1.33335,
        1.33674,
        1.34029,
        1.32102,
        1.34758,
        1.33588,
        1.30245,
        1.28741,
        1.30242,
        1.2862,
        1.26889,
        1.28005,
        1.25705,
        1.20932,
        1.16826,
        1.13541,
        1.07817,
        1.03408,
        1.00688,
        0.993801,
        0.961166,
        0.998969,
        1.01006,
        1.038,
        1.06911,
        1.10813,
        1.11821,
        1.12255,
        1.12918,
        1.18317,
        1.23588,
        1.25843,
        1.27152,
        1.29419,
        1.29229,
        1.324,
        1.34153,
        1.34342,
        1.33788,
        1.33349,
        1.3249,
        1.32864,
        1.31752,
        1.35059,
        1.33228,
        1.35283,
        1.35008,
        1.34546,
        1.36609,
        1.33841,
        1.31618,
        1.30754,
        1.29119,
        1.28432,
        1.28457,
        1.31276,
        1.30213,
        1.31022,
        1.30823,
        1.29426,
        1.24121,
        1.27579,
        1.29403,
        1.31206,
        1.2884,
        1.26463,
        1.27908,
        1.27108,
        1.25823,
        1.2711,
        1.2818,
        1.26143,
        1.2587,
        1.23095,
        1.21733,
        1.21324,
        1.22838,
        1.21441,
        1.2295,
        1.21029,
        1.19194,
        1.23348,
        1.23379,
        1.22208,
        1.20023,
        1.21543,
        1.18538,
        1.19929,
        1.2014,
        1.20807,
        1.20146,
        1.2273,
        1.23139,
        1.2327,
        1.20767,
        1.23355,
        1.21059,
        1.20912,
        1.21075,
        1.20747,
        1.20268,
        1.20168,
        1.20618,
        1.21074,
        1.19586,
        1.24693,
        1.23008,
        1.1818,
        1.19718,
        1.20209,
        1.24975,
        1.23877,
        1.21219,
        1.20261,
        1.19117,
        1.21235,
        1.18015,
        1.20782,
        1.22611,
        1.21582,
        1.22736,
        1.21954,
        1.22906,
        1.20938,
        1.20594,
        1.20167,
        1.18482,
        1.18168,
        1.17509,
        1.16211,
        1.20707,
        1.19453,
        1.18375,
        1.19598,
        1.1843,
        1.17665,
        1.17829,
        1.19027,
        1.2153,
        1.211,
        1.20977,
        1.19936,
        1.22035,
        1.21211,
        1.21158,
        1.19219,
        1.16968,
        1.15807,
        1.16006,
        1.19255,
        1.22947,
        1.17789,
        1.16559,
        1.17563,
        1.18158,
        1.20911,
        1.19975,
        1.17137,
        1.20746,
        1.20883,
        1.2155,
        1.20509,
        1.20311,
        1.22484,
        1.21788,
        1.19039,
        1.17662,
        1.19749,
        1.16783,
        1.16955,
        1.18444,
        1.20905,
        1.21587,
        1.21981,
        1.23886,
        1.02429,
        1.07853,
        1.20745,
        1.1855,
        1.16365,
        1.17062,
        1.19595,
        1.20394,
        1.201,
        1.18881,
        1.20667,
        1.19372,
        1.18349,
        1.18481,
        1.20435,
        1.21983,
        1.21241,
        1.22104,
        1.21738,
        1.21998,
        1.19612,
        1.19803,
        1.19918,
        1.18887,
        1.18316,
        1.20803,
        1.19089,
        1.20693,
        1.17788,
        1.19064,
        1.22585,
        1.2187,
        1.21695,
        1.20613,
        1.19803,
        1.23136,
        1.20489,
        1.20379,
        1.21288,
        1.21728,
        1.16756,
        1.19664,
        1.17196,
        1.17051,
        1.20472,
        1.21605,
        1.22423,
        1.26668,
        1.23087,
        1.21724,
        1.22446,
        1.23742,
        1.22062,
        1.21236,
        1.20349,
        1.21155,
        1.21862,
        1.18963,
        1.17391,
        1.1609,
        1.1936,
        1.21451,
        1.21394,
        1.22055,
        1.18735,
        1.21561,
        1.19822,
        1.20018,
        1.20173,
        1.20703,
        1.19263,
        1.21567,
        1.23605,
        1.25045,
        1.24053,
        1.239,
        1.20248,
        1.23403,
        1.23099,
        1.22753,
        1.23205,
        1.22478,
        1.20096,
        1.22837,
        1.16134,
        1.18149,
        1.20184,
        1.20081,
        1.24288,
        1.22337,
        1.20928,
        1.21178,
        1.27038,
        1.25677,
        1.23833,
        1.19908,
        1.22077,
        1.23723,
        1.21061,
        1.17446,
        1.19011,
        1.20545,
        1.21847,
        1.21748,
        1.23535,
        1.23674,
        1.2592,
        1.25267,
        1.26141,
        1.26114,
        1.29087,
        1.25876,
        1.22573,
        1.24768,
        1.24606,
        1.24726,
        1.24783,
        1.23283,
        1.24204,
        1.27957,
        1.25523,
        1.26321,
        1.22085,
        1.24094,
        1.22432,
        1.20988,
        1.22355,
        1.21108,
        1.22476,
        1.21559,
        1.21098,
        1.22733,
        1.24596,
        1.25235,
        1.25448,
        1.24159,
        1.23109,
        1.24667,
        1.28644,
        1.25608,
        1.23151,
        1.25107,
        1.26305,
        1.24624,
        1.22603,
        1.22701,
        1.24791,
        1.26289,
        1.24614,
        1.25093,
        1.26481,
        1.24461,
        1.22507,
        1.25796,
        1.2561,
        1.2336,
        1.19929,
        1.23397,
        1.21084,
        1.24136,
        1.2442,
        1.23899,
        1.24034,
        1.26403,
        1.27889,
        1.26996,
        1.27634,
        1.24218,
        1.25669,
        1.262,
        1.28143,
        1.22242,
        1.19823,
        1.20125,
        1.20862,
        1.22902,
        1.27613,
        1.26044,
        1.20467,
        1.19675,
        1.24313,
        1.24542,
        1.24049,
        1.2432,
        1.22438,
        1.21038,
        1.19086,
        1.2032,
        1.22399,
        1.24723,
        1.26893,
        1.25247,
        1.24273,
        1.24917,
        1.24262,
        1.2194,
        1.2288,
        1.21132,
        1.20187,
        1.24606,
        1.25451,
        1.25325,
        1.22818,
        1.26442,
        1.23755,
        1.20305,
        1.21191,
        1.22458,
        1.21538,
        1.22178,
        1.23236,
        1.23743,
        1.20238,
        1.22433,
        1.24714,
        1.22223,
        1.22819,
        1.22734,
        1.20465,
        1.22021,
        1.22843,
        1.19841,
        1.2118,
        1.17494,
        1.18547,
        1.22866,
        1.19753,
        1.1905,
        1.21469,
        1.21116,
        1.20236,
        1.20949,
        1.20613,
        1.20213,
        1.212,
        1.21727,
        1.20431,
        1.213,
        1.21139,
        1.21153,
        1.18328,
        1.22254,
        1.23542,
        1.23026,
        1.20768,
        1.21164,
        1.21681,
        1.21229,
        1.21415,
        1.23586,
        1.22342,
        1.2167,
        1.21348,
        1.18362,
        1.18146,
        1.20104,
        1.21146,
        1.22919,
        1.21776,
        1.1986,
        1.19279,
        1.17964,
        1.17167,
        1.19662,
        1.18612,
        1.20825,
        1.21391,
        1.21345,
        1.19507,
        1.2308,
        1.23324,
        1.23377,
        1.20984,
        1.1909,
        1.18941,
        1.21482,
        1.24848,
        1.22863,
        1.19893,
        1.22732,
        1.23636,
        1.19334,
        1.19003,
        1.21451,
        1.2258,
        1.19485,
        1.19962,
        1.18863,
        1.21301,
        1.2236,
        1.22854,
        1.184,
        1.21903,
        1.22393,
        1.20113,
        1.17119,
        1.20173,
        1.19938,
        1.23411,
        1.21367,
        1.23923,
        1.21239,
        1.22477,
        1.22533,
        1.1628,
        1.20222,
        1.22503,
        1.22249,
        1.22513,
        1.21721,
        1.21643,
        1.21558,
        1.23305,
        1.2541,
        1.27476,
        1.19539,
        1.19117,
        1.24857,
        1.20443,
        1.19639,
        1.1696,
        1.20145,
        1.24507,
        1.22261,
        1.24188,
        1.22712,
        1.21465,
        1.20849,
        1.23241,
        1.22471,
        1.22514,
        1.20238,
        1.2224,
        1.2338,
        1.21152,
        1.19992,
        1.18718,
        1.22379,
        1.26733,
        1.2372,
        1.23832,
        1.22493,
        1.20247,
        1.20073,
        1.24755,
        1.2391,
        1.24042,
        1.22825,
        1.26701,
        1.23404,
        1.24076,
        1.24289,
        1.2355,
        1.28073,
        1.25089,
        1.21797,
        1.31006,
        1.26282,
        1.25563,
        1.27292,
        1.24886,
        1.25197,
        1.26624,
        1.24984,
        1.23505,
        1.25166,
        1.24508,
        1.2789,
        1.2358,
        1.27961,
        1.30411,
        1.33036,
        1.27817,
        1.27216,
        1.28385,
        1.23784,
        1.29,
        1.30425,
        1.27155,
        1.25444,
        1.26647,
        1.29925,
        1.32875,
        1.30282,
        1.28685,
        1.20403,
        1.24998,
        1.24874,
        1.32625,
        1.30268,
        1.29215,
        1.3275,
        1.31167,
        1.27649,
        1.3085,
        1.27338,
        1.30038,
        1.3309,
        1.36115,
        1.38866,
        1.3482,
        1.36179,
        1.33573,
        1.3161,
        1.29155,
        1.28484,
        1.29797,
        1.32139,
        1.3313,
        1.34788,
        1.29855,
        1.2403,
        1.3412,
        1.22754,
        1.20288,
        1.17989,
        1.08315,
        1.08686,
        1.12959,
        1.10379,
        1.0856,
        1.05518,
        1.03232,
        0.954895,
        1.04693,
        0.98187,
        1.12294,
        1.09614,
        1.06882,
        1.09447,
        1.24351,
        1.26381,
        1.3335,
        1.30187,
        1.28621,
        1.23557,
        1.23068,
        1.40383,
        1.33117,
        1.30149,
        1.36101,
        1.21546,
        1.2783,
        1.30655,
        1.27482,
        1.22251,
        1.14486,
        1.26127,
        1.02542,
        1.21852,
        1.2143,
        1.36167,
        1.35703,
        1.30111,
        1.29473,
        1.37543,
        1.35567,
        1.58966,
        1.30862,
        1.16438,
        1.19442,
        1.25605,
        1.35839,
        1.28741,
        1.17111,
        1.13299,
        1.1048,
        0.986034,
        1.06501,
        1.23473,
        1.19903,
        1.28703,
        1.05389,
        1.09207,
        1.14533,
        1.14506,
        1.05845,
        1.23389,
        1.27274,
        1.16776,
        1.16456,
        1.29762,
        1.29046,
        1.24029,
        1.28795,
        1.38059,
        1.245,
        1.10792,
        1.176,
        1.18336,
        1.15825,
        1.22409,
        1.22967,
        1.278,
        1.27704,
        1.16344,
        1.17949,
        1.19717,
        1.17664,
        1.20247,
        1.17373,
        1.16441,
        1.1533,
        1.19568,
        1.23264,
        1.23764,
        1.17433,
        1.13629,
        1.18671,
        1.15846,
        1.12729,
        1.15155,
        1.28311,
        1.24038,
        1.22467,
        1.20254,
        1.21496,
        1.18224,
        1.18293,
        1.23085,
        1.26559,
        1.27666,
        1.24375,
        1.22062,
        1.19843,
        1.15606,
        1.17948,
        1.22757,
        1.23187,
        1.2643,
        1.21886,
        1.17667,
        1.24176,
        1.22814,
        1.24194,
        1.2475,
        1.23994,
        1.17277,
        1.19236,
        1.17931,
        1.18877,
        1.24711,
        1.17786,
        1.19046,
        1.13245,
        1.15619,
        1.23952,
        1.22266,
        1.24367,
        1.16776,
        1.20122,
        1.22655,
        1.21938,
        1.23075,
        1.20676,
        1.17331,
        1.16035,
        1.16808,
        1.18359,
        1.19242,
        1.19453,
        1.1797,
        1.20403,
        1.19909,
        1.23439,
        1.23017,
        1.24115,
        1.22938,
        1.21518,
        1.22526,
        1.19774,
        1.1893,
        1.17492,
        1.20492,
        1.1612,
        1.13339,
        1.23084,
        1.18819,
        1.185,
        1.22168,
        1.22067,
        1.14695,
        1.22741,
        1.22006,
        1.20478,
        1.24405,
        1.22174,
        1.16208,
        1.21407,
        1.21242,
        1.26486,
        1.22102,
        1.2004,
        1.20633,
        1.23035,
        1.21623,
        1.23347,
        1.18662,
        1.21641,
        1.21603,
        1.20777,
        1.20089,
        1.23031,
        1.22668,
        1.2057,
        1.22357,
        1.21806,
        1.24505,
        1.21432,
        1.20241,
        1.26344,
        1.28724,
        1.20956,
        1.19901,
        1.16453,
        1.20595,
        1.27353,
        1.24544,
        1.25358,
        1.23858,
        1.22589,
        1.23975,
        1.23082,
        1.2112,
        1.22711,
        1.2085,
        1.25333,
        1.22431,
        1.21683,
        1.22014,
        1.18944,
        1.21014,
        1.17861,
        1.20291,
        1.23268,
        1.23367,
        1.22462,
        1.21595,
        1.20398,
        1.22639,
        1.23677,
        1.28804,
        1.22969,
        1.2152,
        1.23168,
        1.20562,
        1.22666,
        1.22653,
        1.20854,
        1.23862,
        1.22788,
        1.25277,
        1.18673,
        1.23549,
        1.25076,
        1.24201,
        1.21765,
        1.20612,
        1.27013,
        1.21281,
        1.24744,
        1.23763,
        1.2421,
        1.25105,
        1.19875,
        1.25068,
        1.18522,
        1.26025,
        1.27006,
        1.22451,
        1.2223,
        1.22914,
        1.23882,
        1.23987,
        1.28297,
        1.27089,
        1.2509,
        1.21168,
        1.20589,
        1.21089,
        1.2403,
        1.22583,
        1.24115,
        1.23649,
        1.2633,
        1.29695,
        1.24857,
        1.23658,
        1.22814,
        1.23532,
        1.22523,
        1.23327,
        1.25229,
        1.21871,
        1.23155,
        1.23596,
        1.18794,
        1.22107,
        1.25423,
        1.24572,
        1.24352,
        1.26337,
        1.24617,
        1.18749,
        1.18953,
        1.19458,
        1.21671,
        1.23623,
        1.22795,
        1.22004,
        1.23433,
        1.25243,
        1.31656,
        1.35228,
        1.33342,
        1.24974,
        1.18203,
        1.16443,
        1.13052,
        1.10742,
        1.1346,
        1.16689,
        1.19113,
        1.19048,
        1.23415,
        1.2422,
        1.22259,
        1.19132,
        1.19432,
        1.23198,
        1.20003,
        1.20437,
        1.17433,
        1.1939,
        1.15919,
        1.1848,
        1.18567,
        1.18069,
        1.2736,
        1.22961,
        1.26051,
        1.25365,
        1.21744,
        1.21301,
        1.21494,
        1.21021,
        1.2554,
        1.24658,
        1.23422,
        1.19114,
        1.20708,
        1.24054,
        1.18361,
        1.23496,
        1.20661,
        1.22877,
        1.20557,
        1.1823,
        1.2845,
        1.27384,
        1.24654,
        1.26625,
        1.28656,
        1.26317,
        1.23779,
        1.23729,
        1.27141,
        1.24552,
        1.2691,
        1.26461,
        1.21716,
        1.26372,
        1.21799,
        1.22437,
        1.23106,
        1.23287,
        1.24167,
        1.19417,
        1.20455,
        1.26307,
        1.22136,
        1.22787,
        1.22617,
        1.21756,
        1.24545,
        1.19401,
        1.20614,
        1.25731,
        1.24315,
        1.24123,
        1.24219,
        1.20121,
        1.25962,
        1.24423,
        1.18808,
        1.23265,
        1.22406,
        1.22012,
        1.22234,
        1.24038,
        1.24111,
        1.24876,
        1.2267,
        1.18666,
        1.26036,
        1.30669,
        1.28069,
        1.26045,
        1.19005,
        1.22344,
        1.19844,
        1.23517,
        1.23102,
        1.14496,
        1.16371,
        1.23095,
        1.18164,
        1.22996,
        1.23119,
        1.2155,
        1.23176,
        1.27964,
        1.20788,
        1.26169,
        1.30862,
        1.19842,
        1.24485,
        1.23773,
        1.28769,
        1.18276,
        1.22247,
        1.20542,
        1.22957,
        1.22218,
        1.2432,
        1.24744,
        1.19372,
        1.20428,
        1.24027,
        1.20366,
        1.18309,
        1.26586,
        1.21681,
        1.19498,
        1.20863,
        1.30249,
        1.27993,
        1.29577,
        1.27054,
        1.21865,
        1.31685,
        1.27328,
        1.33828,
        1.23305,
        1.25057,
        1.23407,
        1.22796,
        1.207,
        1.32087,
        1.29572,
        1.20561,
        1.22959,
        1.2041,
        1.17072,
        1.27357,
        1.38301,
        1.288,
        1.19507,
        1.13639,
        1.23661,
        1.3715,
        1.29961,
        1.36227,
        1.29187,
        1.22834,
        1.28625,
        1.29215,
        1.32902,
        1.34839,
        1.28787,
        1.31367,
        1.29464,
        1.41117,
        1.36872,
        1.1567,
        1.36406,
        1.26681,
        1.22719,
        1.42938,
        1.15105,
        1.33424,
        1.65185,
        1.496,
        1.4619,
        null,
        1.28561,
        1.26067,
        1.28089,
        1.28593,
        1.2274,
        1.20388,
        1.20975,
        1.2932,
        1.227,
        1.22494,
        1.26244,
        1.23842,
        1.22613,
        1.26068,
        1.27296,
        1.24326,
        1.22078,
        1.24136,
        1.29433,
        1.26738,
        1.21578,
        1.25204,
        1.24514,
        1.22486,
        1.2842,
        1.31339,
        1.21539,
        1.25802,
        1.26565,
        1.29889,
        1.28993,
        1.26069,
        1.2245,
        1.24172,
        1.23638,
        1.28039,
        1.28233,
        1.21104,
        1.22012,
        1.27775,
        1.31283,
        1.29074,
        1.24459,
        1.24496,
        1.25939,
        1.28996,
        1.29663,
        1.26717,
        1.22262,
        1.23518,
        1.24476,
        1.25457,
        1.26919,
        1.28995,
        1.28518,
        1.22978,
        1.21785,
        1.20105,
        1.23926,
        1.23581,
        1.22074,
        1.24222,
        1.28202,
        1.27376,
        1.23626,
        1.25999,
        1.27634,
        1.26606,
        1.26426,
        1.24065,
        1.19629,
        1.2357,
        1.2771,
        1.22768,
        1.20833,
        1.25494,
        1.27541,
        1.2775,
        1.21352,
        1.17412,
        1.25565,
        1.2563,
        1.28503,
        1.26947,
        1.24704,
        1.19925,
        1.21859,
        1.23516,
        1.29618,
        1.28513,
        1.19518,
        1.1987,
        1.27318,
        1.22396,
        1.25809,
        1.26572,
        1.23939,
        1.24604,
        1.18915,
        1.23297,
        1.25385,
        1.25882,
        1.20966,
        1.20739,
        1.25477,
        1.25565,
        1.17954,
        1.13561,
        1.19946,
        1.2933,
        1.19112,
        1.15712,
        1.24607,
        1.21151,
        1.1776,
        1.18066,
        1.25063,
        1.29724,
        1.23736,
        1.12733,
        1.14562,
        1.22594,
        1.30401,
        1.34205,
        1.38587,
        1.20512,
        1.22201,
        1.23593,
        1.2436,
        1.2174,
        1.39611,
        1.32833,
        1.33705,
        1.34071,
        1.26982,
        1.27061,
        0.961602,
        1.3123,
        1.11028,
        1.2577,
        1.40586,
        1.27965,
        1.49816,
        1.26779,
        1.29519,
        1.11233,
        1.25989,
        1.35341,
        1.14363,
        1.4618,
        1.34665,
        1.41789,
        1.41796,
        1.33243,
        1.33319,
        1.39008,
        1.28606,
        1.33739,
        1.21463,
        1.3286,
        1.51158,
        1.54659,
        1.11562,
        1.21337,
        1.17787,
        1.1925,
        1.21553,
        1.38142,
        1.27305,
        1.43257,
        1.31761,
        1.42283,
        1.70915,
        1.55744,
        1.25801,
        1.4619,
        1.4249,
        1.20498,
        1.46985,
        1.35627,
        1.42145,
        1.53922,
        1.19654,
        1.34415,
        1.4799,
        1.286,
        1.31688,
        1.20894,
        1.25922,
        1.28521,
        1.32048,
        1.24966,
        1.22454,
        1.27299,
        1.30972,
        1.30629,
        1.30717,
        1.31355,
        1.25995,
        1.28456,
        1.20251,
        1.09782,
        1.14649,
        1.20122,
        1.11451,
        1.01943,
        0.998759,
        1.23361,
        1.13812,
        1.1477,
        1.11932,
        1.29008,
        1.23897,
        1.25031,
        1.19698,
        1.3052,
        1.34975,
        1.32227,
        1.31953,
        1.33422,
        1.43837,
        1.27286,
        1.16737,
        1.35157,
        1.27498,
        1.37558,
        1.38701,
        1.37331,
        1.33362,
        1.29866,
        1.38116,
        1.34695,
        1.26885,
        1.28527,
        1.24161,
        1.3166,
        1.44515,
        1.35137,
        1.3843,
        1.40724,
        1.39204,
        1.41549,
        1.38231,
        1.54612,
        1.40546,
        1.34973,
        1.30974,
        1.36824,
        1.44278,
        1.3518,
        1.30398,
        1.13144,
        1.15985,
        1.46243,
        1.42199,
        1.38725,
        1.17148,
        1.00105,
        1.16203,
        1.15163,
        1.12623,
        1.4187,
        1.30137,
        1.11485,
        null,
        1.23131,
        1.27423,
        1.2678,
        1.33472,
        1.28889,
        1.19032,
        1.24876,
        1.40991,
        1.47728,
        1.34725,
        1.35877,
        1.48145,
        1.20713,
        1.26749,
        1.30188,
        1.26483,
        1.25894,
        1.26942,
        1.45617,
        1.37161,
        1.32757,
        1.51128,
        1.41474,
        1.27723,
        1.30001,
        1.29755,
        1.33576,
        1.20355,
        1.18959,
        1.22011,
        1.16997,
        1.01105,
        1.2014,
        1.34708,
        1.16223,
        1.29087,
        1.24241,
        1.16732,
        1.15892,
        1.13538,
        1.18227,
        1.24514,
        1.19513,
        1.26805,
        1.29285,
        1.23874,
        1.23939,
        1.22392,
        1.15595,
        1.21699,
        1.28322,
        1.24108,
        1.27087,
        1.24119,
        1.1486,
        1.22663,
        1.23102,
        1.28158,
        1.21122,
        1.28813,
        1.31882,
        1.36398,
        1.27838,
        1.22964,
        1.24146,
        1.25581,
        1.15738,
        1.29617,
        1.2723,
        1.28574,
        1.27932,
        1.31168,
        1.23434,
        1.28472,
        1.21721,
        1.2114,
        1.23407,
        1.26867,
        1.29519,
        1.27196,
        1.28215,
        1.27137,
        1.30932,
        1.2088,
        1.23003,
        1.19287,
        1.20239,
        1.27838,
        1.24539,
        1.24808,
        1.28495,
        1.25277,
        1.24132,
        1.2464,
        1.26059,
        1.248,
        1.29165,
        1.27858,
        1.24425,
        1.19284,
        1.25848,
        1.15965,
        1.13873,
        1.17774,
        1.26097,
        1.297,
        1.27397,
        1.22723,
        1.23813,
        1.24535,
        1.25992,
        1.26907,
        1.21305,
        1.25314,
        1.28786,
        1.25666,
        1.2327,
        1.26824,
        1.26269,
        1.22385,
        1.24637,
        1.21321,
        1.22283,
        1.23121,
        1.19613,
        1.22383,
        1.21539,
        1.2271,
        1.2423,
        1.24239,
        1.24891,
        1.20867,
        1.21824,
        1.22611,
        1.2282,
        1.19867,
        1.21824,
        1.23843,
        1.19266,
        1.23045,
        1.2631,
        1.21858,
        1.24034,
        1.18639,
        1.17992,
        1.2552,
        1.23614,
        1.22228,
        1.23912,
        1.21822,
        1.22143,
        1.26234,
        1.27175,
        1.23694,
        1.26278,
        1.23664,
        1.22112,
        1.22301,
        1.22641,
        1.2215,
        1.19793,
        1.19956,
        1.25033,
        1.19725,
        1.22908,
        1.23216,
        1.21812,
        1.25106,
        1.23792,
        1.22185,
        1.20555,
        1.18412,
        1.17021,
        1.2238,
        1.24809,
        1.23071,
        1.23205,
        1.20534,
        1.27837,
        1.28104,
        1.25278,
        1.18972,
        1.21692,
        1.23462,
        1.24936,
        1.26266,
        1.21656,
        1.24983,
        1.26703,
        1.21045,
        1.17877,
        1.19937,
        1.20275,
        1.24656,
        1.25239,
        1.22944,
        1.22415,
        1.21956,
        1.20996,
        1.23775,
        1.2344,
        1.19454,
        1.18707,
        1.22843,
        1.21449,
        1.2333,
        1.25724,
        1.19382,
        1.24192,
        1.20787,
        1.22936,
        1.21658,
        1.23185,
        1.2278,
        1.18563,
        1.21581,
        1.18014,
        1.2473,
        1.2415,
        1.27267,
        1.28085,
        1.23526,
        1.25096,
        1.26277,
        1.23681,
        1.21462,
        1.2182,
        1.21679,
        1.241,
        1.22486,
        1.22398,
        1.21071,
        1.23843,
        1.21755,
        1.17648,
        1.17952,
        1.18263,
        1.20704,
        1.24679,
        1.20215,
        1.26376,
        1.21941,
        1.215,
        1.22205,
        1.24975,
        1.21742,
        1.24742,
        1.26026,
        1.26787,
        1.26093,
        1.26489,
        1.22412,
        1.21275,
        1.21736,
        1.24816,
        1.24747,
        1.22025,
        1.22602,
        1.23106,
        1.2538,
        1.25024,
        1.21424,
        1.27365,
        1.24261,
        1.2481,
        1.26243,
        1.23919,
        1.25942,
        1.20791,
        1.24535,
        1.24918,
        1.24072,
        1.21517,
        1.25022,
        1.26465,
        1.19669,
        1.23108,
        1.25888,
        1.22261,
        1.2531,
        1.22531,
        1.22541,
        1.2722,
        1.28726,
        1.27166,
        1.2742,
        1.27769,
        1.22804,
        1.208,
        1.2036,
        1.24421,
        1.22063,
        1.24901,
        1.24819,
        1.24109,
        1.24503,
        1.24474,
        1.25355,
        1.28408,
        1.26114,
        1.2427,
        1.25568,
        1.25786,
        1.25102,
        1.26168,
        1.28436,
        1.29775,
        1.29234,
        1.27132,
        1.24201,
        1.25524,
        1.27793,
        1.28245,
        1.27553,
        1.2573,
        1.24063,
        1.28081,
        1.25824,
        1.27988,
        1.25816,
        1.27587,
        1.29414,
        1.24859,
        1.22317,
        1.248,
        1.28116,
        1.23875,
        1.30762,
        1.28626,
        1.25933,
        1.27712,
        1.29639,
        1.28678,
        1.25712,
        1.28989,
        1.30607,
        1.34369,
        1.32488,
        1.32227,
        1.30045,
        1.30313,
        1.31387,
        1.32249,
        1.3174,
        1.3294,
        1.33018,
        1.32375,
        1.33849,
        1.31108,
        1.31971,
        1.32999,
        1.3217,
        1.34943,
        1.34526,
        1.38629,
        1.37301,
        1.35421,
        1.32418,
        1.30574,
        1.32632,
        1.33917,
        1.30668,
        1.30001,
        1.30016,
        1.32729,
        1.34662,
        1.32383,
        1.31702,
        1.33711,
        1.32054,
        1.30568,
        1.33004,
        1.33108,
        1.3348,
        1.38436,
        1.38019,
        1.3781,
        1.38637,
        1.38223,
        1.33961,
        1.33522,
        1.31573,
        1.35958,
        1.36902,
        1.32715,
        1.34069,
        1.33559,
        1.28413,
        1.26486,
        1.23183,
        1.18744,
        1.16898,
        1.08914,
        1.07819,
        1.09058,
        1.10241,
        1.131,
        1.12055,
        1.10566,
        1.14476,
        1.13129,
        1.15412,
        1.20141,
        1.26342,
        1.29256,
        1.32746,
        1.28132,
        1.29532,
        1.33256,
        1.33908,
        1.32252,
        1.33619,
        1.33526,
        1.38197,
        1.38699,
        1.37276,
        1.35335,
        1.37001,
        1.36255,
        1.35739,
        1.38117,
        1.34803,
        1.38149,
        1.38908,
        1.39942,
        1.34952,
        1.36351,
        1.30309,
        1.31092,
        1.31225,
        1.32485,
        1.29723,
        1.31533,
        1.32996,
        1.3208,
        1.2907,
        1.28575,
        1.31927,
        1.2938,
        1.27325,
        1.27773,
        1.30441,
        1.29889,
        1.26728,
        1.27224,
        1.27649,
        1.28553,
        1.28575,
        1.24868,
        1.24791,
        1.26513,
        1.26702,
        1.26336,
        1.23447,
        1.25813,
        1.23858,
        1.25131,
        1.27205,
        1.26123,
        1.24037,
        1.28464,
        1.25761,
        1.27817,
        1.28205,
        1.29947,
        1.28577,
        1.25936,
        1.25194,
        1.26487,
        1.25024,
        1.2395,
        1.24855,
        1.24239,
        1.25309,
        1.23658,
        1.21231,
        1.25979,
        1.28273,
        1.28331,
        1.26426,
        1.2715,
        1.23997,
        1.24235,
        1.24702,
        1.25758,
        1.25087,
        1.26939,
        1.25369,
        1.26956,
        1.2415,
        1.2126,
        1.20531,
        1.22628,
        1.22316,
        1.26303,
        1.22244,
        1.22363,
        1.23465,
        1.24996,
        1.26777,
        1.28834,
        1.24852,
        1.22087,
        1.2237,
        1.22475,
        1.24031,
        1.23452,
        1.24674,
        1.25676,
        1.24423,
        1.23137,
        1.21217,
        1.2066,
        1.22623,
        1.24413,
        1.25151,
        1.27325,
        1.21603,
        1.21752,
        1.25519,
        1.2453,
        1.28857,
        1.21558,
        1.23302,
        1.23433,
        1.22214,
        1.23564,
        1.23505,
        1.26288,
        1.28893,
        1.24737,
        1.24786,
        1.28023,
        1.24933,
        1.25944,
        1.25402,
        1.20582,
        1.18793,
        1.24945,
        1.29971,
        1.2694,
        1.25477,
        1.24234,
        1.21057,
        1.22855,
        1.22262,
        1.22946,
        1.23327,
        1.24776,
        1.24156,
        1.23205,
        1.24135,
        1.22515,
        1.24922,
        1.22827,
        1.23303,
        1.23821,
        1.25647,
        1.21787,
        1.21266,
        1.27045,
        1.27126,
        1.2227,
        1.24808,
        1.2432,
        1.24051,
        1.25668,
        1.25524,
        1.26214,
        1.25106,
        1.26447,
        1.23967,
        1.23589,
        1.25395,
        1.27119,
        1.24988,
        1.21663,
        1.22353,
        1.23114,
        1.2268,
        1.24226,
        1.22729,
        1.24584,
        1.23698,
        1.26611,
        1.27168,
        1.25906,
        1.25814,
        1.2409,
        1.26526,
        1.27747,
        1.25552,
        1.26044,
        1.27841,
        1.25829,
        1.25099,
        1.23563,
        1.25334,
        1.24373,
        1.24586,
        1.27484,
        1.24312,
        1.25747,
        1.24484,
        1.25445,
        1.28579,
        1.26693,
        1.23448,
        1.26583,
        1.27583,
        1.27091,
        1.2635,
        1.26853,
        1.27355,
        1.24004,
        1.23669,
        1.25211,
        1.2549,
        1.28016,
        1.29722,
        1.28103,
        1.27352,
        1.26833,
        1.24784,
        1.25998,
        1.23087,
        1.24099,
        1.22158,
        1.26049,
        1.28277,
        1.2139,
        1.25937,
        1.26412,
        1.27914,
        1.26291,
        1.24736,
        1.25664,
        1.23803,
        1.26245,
        1.2789,
        1.27322,
        1.22388,
        1.20118,
        1.19805,
        1.22139,
        1.23456,
        1.25126,
        1.23249,
        1.26084,
        1.29492,
        1.24339,
        1.23041,
        1.25507,
        1.22185,
        1.23569,
        1.26457,
        1.26646,
        1.21794,
        1.26039,
        1.22983,
        1.24954,
        1.24789,
        1.21085,
        1.19032,
        1.24077,
        1.22724,
        1.25334,
        1.24837,
        1.26405,
        1.27923,
        1.26233,
        1.25777,
        1.2367,
        1.2266,
        1.23266,
        1.24152,
        1.26283,
        1.23733,
        1.23652,
        1.21679,
        1.23892,
        1.24694,
        1.26244,
        1.22413,
        1.22894,
        1.2273,
        1.23691,
        1.23234,
        1.25271,
        1.24316,
        1.2302,
        1.22982,
        1.20394,
        1.27001,
        1.28697,
        1.26258,
        1.26255,
        1.24063,
        1.2279,
        1.23148,
        1.23705,
        1.2613,
        1.27751,
        1.21465,
        1.2258,
        1.26242,
        1.27482,
        1.26065,
        1.23935,
        1.25037,
        1.26529,
        1.28625,
        1.27698,
        1.21762,
        1.21991,
        1.21996,
        1.24,
        1.21932,
        1.2424,
        1.22555,
        1.26711,
        1.25239,
        1.25339,
        1.23224,
        1.23986,
        1.20667,
        1.2369,
        1.22371,
        1.23995,
        1.23485,
        1.23717,
        1.24881,
        1.23436,
        1.25873,
        1.25359,
        1.24745,
        1.26729,
        1.24233,
        1.223,
        1.257,
        1.26463,
        1.21301,
        1.22951,
        1.21153,
        1.23202,
        1.22679,
        1.26046,
        1.27353,
        1.23925,
        1.28583,
        1.24582,
        1.26265,
        1.25964,
        1.2789,
        1.23739,
        1.17434,
        1.14318,
        1.17135,
        1.19541,
        1.23591,
        1.24574,
        1.21868,
        1.21111,
        1.2258,
        1.21377,
        1.22493,
        1.2093,
        1.18591,
        1.18924,
        1.21391,
        1.19798,
        1.20718,
        1.25154,
        1.22713,
        1.21731,
        1.20946,
        1.26213,
        1.26869,
        1.23014,
        1.21484,
        1.1642,
        1.23854,
        1.2102,
        1.20219,
        1.22505,
        1.30038,
        1.21688,
        1.21711,
        1.25109,
        1.20709,
        1.18728,
        1.19942,
        1.2127,
        1.24963,
        1.24137,
        1.2175,
        1.20642,
        1.21311,
        1.21074,
        1.20091,
        1.28102,
        1.23822,
        1.26472,
        1.22799,
        1.17264,
        1.22264,
        1.15678,
        1.23678,
        1.21922,
        1.18991,
        1.25868,
        1.21244,
        1.28847,
        1.32256,
        1.22314,
        1.24685,
        1.15529,
        1.12223,
        1.21663,
        1.29065,
        1.06179,
        1.19255,
        1.11121,
        1.31245,
        1.20719,
        1.09472,
        1.28518,
        1.48738,
        1.42532,
        1.36315,
        1.15544,
        1.28996,
        1.27904,
        1.12551,
        1.25358,
        1.2248,
        1.12743,
        1.14668,
        1.27725,
        1.29141,
        1.20303,
        1.22295,
        1.22719,
        1.15268,
        1.16137,
        1.20859,
        1.23632,
        1.15823,
        1.25668,
        1.26491,
        1.20231,
        1.26497,
        1.29584,
        1.23232,
        1.22376,
        1.20322,
        1.2225,
        1.21811,
        1.24277,
        1.24739,
        1.20457,
        1.17174,
        1.2859,
        1.27446,
        1.25524,
        1.21291,
        1.29261,
        1.27445,
        1.26299,
        1.24682,
        1.26621,
        1.25328,
        1.21652,
        1.29629,
        1.28885,
        1.17804,
        1.23384,
        1.23141,
        1.30267,
        1.21643,
        1.18512,
        1.23768,
        1.25068,
        1.21333,
        1.26402,
        1.29196,
        1.25461,
        1.25751,
        1.28346,
        1.31056,
        1.27613,
        1.26061,
        1.26595,
        1.23587,
        1.2414,
        1.29187,
        1.27699,
        1.25997,
        1.27668,
        1.32221,
        1.31746,
        1.29858,
        1.32255,
        1.28798,
        1.29645,
        1.32354,
        1.33337,
        1.3226,
        1.31194,
        1.32613,
        1.36,
        1.3096,
        1.32349,
        1.35599,
        1.35822,
        1.35005,
        1.27487,
        1.25973,
        1.31541,
        1.36258,
        1.29761,
        1.30754,
        1.3195,
        1.32853,
        1.32203,
        1.31715,
        1.29157,
        1.32232,
        1.37419,
        1.28817,
        1.35125,
        1.38276,
        1.32889,
        1.38251,
        1.41446,
        1.33806,
        1.35585,
        1.3497,
        1.35359,
        1.36009,
        1.42922,
        1.37399,
        1.31653,
        1.32844,
        1.37913,
        1.40228,
        1.33384,
        1.29923,
        1.33879,
        1.26837,
        1.27039,
        1.26786,
        1.23559,
        1.23349,
        1.14225,
        1.13388,
        1.07294,
        1.08339,
        1.11262,
        1.11101,
        1.09385,
        1.12279,
        1.16663,
        1.211,
        1.15833,
        1.16184,
        1.27429,
        1.47046,
        1.3028,
        1.30252,
        1.30744,
        1.2984,
        1.4699,
        1.41481,
        1.45551,
        1.38894,
        1.35744,
        1.37076,
        1.35706,
        1.30862,
        1.28788,
        1.41465,
        1.42094,
        1.44283,
        1.3639,
        1.30577,
        1.44043,
        1.38614,
        1.28129,
        1.34784,
        1.42946,
        1.4363,
        1.44762,
        1.51661,
        1.41274,
        1.25947,
        1.22902,
        1.34714,
        1.40893,
        1.59635,
        1.26199,
        1.13877,
        1.2694,
        1.37882,
        1.16658,
        0.887742,
        1.29815,
        1.38995,
        1.15887,
        1.19943,
        1.15249,
        1.28948,
        1.38201,
        1.3151,
        1.1817,
        1.12785,
        1.26779,
        1.32999,
        1.19112,
        1.21147,
        1.28612,
        1.30948,
        1.21862,
        1.26968,
        1.29203,
        1.29972,
        1.22562,
        1.20486,
        1.13116,
        1.28549,
        1.22825,
        1.21408,
        1.16672,
        1.24497,
        1.16676,
        1.19036,
        1.17576,
        1.24893,
        1.28788,
        1.20918,
        1.2477,
        1.25233,
        1.22028,
        1.27072,
        1.2728,
        1.3274,
        1.22827,
        1.28811,
        1.21626,
        1.22734,
        1.20062,
        1.20004,
        1.24195,
        1.19661,
        1.23636,
        1.27399,
        1.23394,
        1.23915,
        1.26369,
        1.25526,
        1.21658,
        1.33043,
        1.28107,
        1.24268,
        1.2443,
        1.19424,
        1.22217,
        1.16695,
        1.17648,
        1.2353,
        1.25749,
        1.22969,
        1.26945,
        1.23553,
        1.24781,
        1.23293,
        1.2417,
        1.22009,
        1.17631,
        1.22689,
        1.23939,
        1.27109,
        1.27427,
        1.26146,
        1.21533,
        1.26594,
        1.25874,
        1.21172,
        1.2367,
        1.27032,
        1.29034,
        1.27321,
        1.28497,
        1.23992,
        1.23706,
        1.259,
        1.23878,
        1.24693,
        1.21013,
        1.19978,
        1.23916,
        1.22396,
        1.2341,
        1.22277,
        1.2733,
        1.2838,
        1.25107,
        1.23655,
        1.23014,
        1.25486,
        1.24341,
        1.25261,
        1.29151,
        1.28803,
        1.26072,
        1.22024,
        1.22185,
        1.30337,
        1.30575,
        1.28802,
        1.24564,
        1.25986,
        1.26884,
        1.2911,
        1.30089,
        1.32347,
        1.28663,
        1.29917,
        1.22922,
        1.27066,
        1.26691,
        1.24422,
        1.22428,
        1.27932,
        1.25739,
        1.2606,
        1.27708,
        1.24846,
        1.26016,
        1.24039,
        1.22291,
        1.24257,
        1.26363,
        1.27902,
        1.28463,
        1.27838,
        1.28097,
        1.27965,
        1.29404,
        1.24458,
        1.25273,
        1.28597,
        1.25019,
        1.23912,
        1.28643,
        1.31298,
        1.3473,
        1.28431,
        1.26331,
        1.29701,
        1.24246,
        1.24142,
        1.25606,
        1.2721,
        1.28774,
        1.25611,
        1.23872,
        1.27733,
        1.26641,
        1.28179,
        1.25319,
        1.26256,
        1.27116,
        1.25947,
        1.27081,
        1.24445,
        1.25792,
        1.29543,
        1.2913,
        1.24779,
        1.24461,
        1.21994,
        1.25319,
        1.25542,
        1.29085,
        1.25337,
        1.27182,
        1.26119,
        1.22177,
        1.24584,
        1.21945,
        1.22406,
        1.24348,
        1.26288,
        1.28255,
        1.23678,
        1.2271,
        1.24981,
        1.2713,
        1.24541,
        1.23229,
        1.23455,
        1.27609,
        1.27832,
        1.28088,
        1.26,
        1.21979,
        1.24847,
        1.256,
        1.28211,
        1.27651,
        1.24079,
        1.24742,
        1.25639,
        1.28374,
        1.26623,
        1.26709,
        1.26347,
        1.31486,
        1.28538,
        1.28215,
        1.23425,
        1.25966,
        1.22221,
        1.25114,
        1.2873,
        1.26026,
        1.2842,
        1.25023,
        1.29695,
        1.23402,
        1.22,
        1.27076,
        1.2811,
        1.24415,
        1.28649,
        1.31633,
        1.30756,
        1.32087,
        1.31381,
        1.30598,
        1.4032,
        1.34664,
        1.27832,
        1.48891,
        1.26949,
        1.06261,
        1.10095,
        1.14184,
        0.996272,
        1.1382,
        1.11596,
        1.21957,
        1.16736,
        1.14093,
        1.10825,
        1.16793,
        1.18307,
        1.14689,
        1.15489,
        1.19248,
        1.23164,
        1.18709,
        1.23094,
        1.2458,
        1.27656,
        1.22142,
        1.22589,
        1.26069,
        1.23844,
        1.26498,
        1.22968,
        1.20046,
        1.26787,
        1.27723,
        1.23004,
        1.25847,
        1.20403,
        1.22351,
        1.18437,
        1.21109,
        1.24234,
        1.22261,
        1.26435,
        1.26221,
        1.23926,
        1.23001,
        1.24253,
        1.2565,
        1.21006,
        1.25074,
        1.26149,
        1.25109,
        1.22042,
        1.24866,
        1.2068,
        1.1607,
        1.2528,
        1.29227,
        1.26122,
        1.25198,
        1.20217,
        1.19895,
        1.21875,
        1.23675,
        1.25861,
        1.22583,
        1.23836,
        1.27809,
        1.26531,
        1.2356,
        1.23815,
        1.228,
        1.20191,
        1.23524,
        1.25154,
        1.2093,
        1.19659,
        1.19651,
        1.23686,
        1.28537,
        1.28477,
        1.26655,
        1.24561,
        1.22927,
        1.27555,
        1.28222,
        1.22413,
        1.21052,
        1.26496,
        1.27227,
        1.26268,
        1.26855,
        1.25066,
        1.29171,
        1.26917,
        1.26221,
        1.22845,
        1.23605,
        1.21786,
        1.25502,
        1.23772,
        1.25348,
        1.22236,
        1.2334,
        1.25168,
        1.23788,
        1.24293,
        1.25116,
        1.25631,
        1.29067,
        1.29023,
        1.25962,
        1.30789,
        1.27217,
        1.24366,
        1.19921,
        1.22735,
        1.26878,
        1.23738,
        1.26046,
        1.26987,
        1.23799,
        1.25804,
        1.25261,
        1.23276,
        1.2698,
        1.31732,
        1.28518,
        1.23367,
        1.21374,
        1.22573,
        1.26305,
        1.23309,
        1.27746,
        1.25266,
        1.26435,
        1.27322,
        1.26915,
        1.24243,
        1.289,
        1.29274,
        1.22147,
        1.25284,
        1.22905,
        1.2246,
        1.26978,
        1.26767,
        1.25488,
        1.22284,
        1.26541,
        1.25242,
        1.33636,
        1.30351,
        1.27923,
        1.24307,
        1.23809,
        1.24396,
        1.24511,
        1.2635,
        1.26249,
        1.22955,
        1.19349,
        1.25132,
        1.19784,
        1.24906,
        1.2711,
        1.28013,
        1.25458,
        1.23386,
        1.22288,
        1.25946,
        1.24016,
        1.23254,
        1.23106,
        1.28259,
        1.2784,
        1.24289,
        1.20095,
        1.18202,
        1.24991,
        1.24226,
        1.27893,
        1.2987,
        1.24895,
        1.29755,
        1.33986,
        1.26565,
        1.23864,
        1.25577,
        1.26832,
        1.21858,
        1.25197,
        1.29147,
        1.2502,
        1.30829,
        1.3161,
        1.2448,
        1.24952,
        1.24652,
        1.22854,
        1.25147,
        1.18838,
        1.21036,
        1.26034,
        1.27232,
        1.28563,
        1.26531,
        1.25088,
        1.25467,
        1.19894,
        1.2602,
        1.2272,
        1.23984,
        1.24298,
        1.22773,
        1.29398,
        1.32814,
        1.28887,
        1.21198,
        1.22305,
        1.24801,
        1.24156,
        1.24464,
        1.28462,
        1.21071,
        1.27298,
        1.23465,
        1.24744,
        1.22048,
        1.29997,
        1.2879,
        1.28016,
        1.27554,
        1.24459,
        1.26577,
        1.28858,
        1.32362,
        1.32164,
        1.31971,
        null,
        1.2259,
        1.24268,
        1.28271,
        1.26685,
        1.26336,
        1.27625,
        1.2982,
        1.26834,
        1.29423,
        1.30268,
        1.25224,
        1.22954,
        1.26538,
        1.2697,
        1.32862,
        1.35385,
        1.30801,
        1.29851,
        1.29236,
        1.30477,
        1.30174,
        1.23923,
        1.28283,
        1.29847,
        1.30232,
        1.29341,
        1.30204,
        1.30956,
        1.27955,
        1.27471,
        1.30394,
        1.28244,
        1.27387,
        1.25637,
        1.30884,
        1.33525,
        1.30046,
        1.25757,
        1.293,
        1.31361,
        1.30543,
        1.24459,
        1.26067,
        1.26345,
        1.29897,
        1.27911,
        1.31046,
        1.29427,
        1.27373,
        1.30169,
        1.2837,
        1.25554,
        1.25958,
        1.26983,
        1.31189,
        1.29975,
        1.25972,
        1.28227,
        1.28702,
        1.28854,
        1.31356,
        1.28174,
        1.29152,
        1.29355,
        1.27812,
        1.28772,
        1.30867,
        1.27705,
        1.31908,
        1.28974,
        1.27538,
        1.29137,
        1.3048,
        1.30807,
        1.28254,
        1.27596,
        1.29676,
        1.33851,
        1.28196,
        1.27503,
        1.29488,
        1.28985,
        1.30649,
        1.292,
        1.27914,
        1.30431,
        1.35086,
        1.35928,
        1.31912,
        1.28056,
        1.28558,
        1.25912,
        1.29296,
        1.28112,
        1.28118,
        1.31186,
        1.26484,
        1.26951,
        1.27689,
        1.26064,
        1.27054,
        1.30553,
        1.30138,
        1.28049,
        1.22678,
        1.26051,
        1.27494,
        1.2859,
        1.25792,
        1.30817,
        1.29909,
        1.27848,
        1.31156,
        1.31191,
        1.34246,
        1.32328,
        1.25087,
        1.266,
        1.25275,
        1.3191,
        1.31268,
        1.31661,
        1.31948,
        1.34496,
        1.3278,
        1.30272,
        1.33957,
        1.32842,
        1.31177,
        1.28679,
        1.3024,
        1.25111,
        1.30031,
        1.32004,
        1.31242,
        1.34392,
        1.27516,
        1.2969,
        1.30388,
        1.34344,
        1.44484,
        1.36713,
        1.24528,
        1.21331,
        1.27384,
        1.27278,
        1.23546,
        1.22603,
        1.22798,
        1.25788,
        1.25033,
        1.27605,
        1.27018,
        1.20472,
        1.21699,
        1.23181,
        1.24093,
        1.25233,
        1.22848,
        1.24435,
        1.26156,
        1.33296,
        1.35015,
        1.30512,
        1.22262,
        1.27783,
        1.30209,
        1.30394,
        1.30534,
        1.2368,
        1.26542,
        1.24389,
        1.31476,
        1.35697,
        1.32627,
        1.29074,
        1.26585,
        1.25588,
        1.28625,
        1.32394,
        1.30159,
        1.27087,
        1.30243,
        1.26725,
        1.27162,
        1.34262,
        1.36769,
        1.2988,
        1.20452,
        1.18385,
        1.21679,
        1.29628,
        1.3174,
        1.27,
        1.25665,
        1.28798,
        1.35462,
        1.36189,
        1.27022,
        1.24725,
        1.28081,
        1.28331,
        1.30751,
        1.37965,
        1.26167,
        1.25736,
        1.17202,
        1.21994,
        1.28919,
        1.39172,
        1.26576,
        1.27489,
        1.35287,
        1.3711,
        1.33855,
        1.21289,
        1.13348,
        1.25891,
        1.356,
        1.33912,
        1.26187,
        1.22717,
        1.32469,
        1.37278,
        1.51316,
        1.47499,
        1.16754,
        1.09075,
        1.2036,
        1.32676,
        1.27517,
        1.51969,
        1.64622,
        1.37386,
        1.4003,
        1.46841,
        1.43258,
        1.27101,
        1.28315,
        1.38341,
        1.41213,
        1.43597,
        1.33741,
        1.27729,
        1.21665,
        1.25475,
        1.40702,
        1.47706,
        1.30565,
        1.44077,
        1.35292,
        1.437,
        1.30466,
        1.28599,
        1.20324,
        1.23948,
        1.30393,
        1.241,
        1.25285,
        1.1073,
        1.22771,
        1.22263,
        1.19898,
        1.21761,
        1.28412,
        1.24804,
        1.21167,
        1.17073,
        1.27133,
        1.39679,
        1.41416,
        1.44725,
        1.43643,
        1.44481,
        1.46423,
        1.43289,
        1.39795,
        1.34709,
        1.43062,
        1.39532,
        1.35881,
        1.40461,
        1.42831,
        1.45742,
        1.44774,
        1.40138,
        1.39886,
        1.39767,
        1.33858,
        1.34632,
        1.40688,
        1.41262,
        1.36258,
        1.37748,
        1.32479,
        1.37722,
        1.34384,
        1.37917,
        1.39828,
        1.34825,
        1.40683,
        1.35079,
        1.28428,
        1.35809,
        1.39458,
        1.33798,
        1.28256,
        1.25263,
        1.26945,
        1.27675,
        1.24674,
        1.2671,
        1.30739,
        1.32739,
        1.33093,
        1.30772,
        1.36682,
        1.3251,
        1.25526,
        1.24924,
        1.30309,
        1.27727,
        1.25691,
        1.29516,
        1.27856,
        1.28025,
        1.32009,
        1.2589,
        1.24424,
        1.27722,
        1.26142,
        1.27205,
        1.34642,
        1.34189,
        1.31045,
        1.28478,
        1.28717,
        1.31157,
        1.28405,
        1.26794,
        1.28464,
        1.32907,
        1.28874,
        1.34508,
        1.21306,
        1.25579,
        1.30186,
        1.28587,
        1.28038,
        1.27382,
        1.28949,
        1.26754,
        1.27326,
        1.32227,
        1.28538,
        1.2954,
        1.27634,
        1.26339,
        1.26014,
        1.2726,
        1.24967,
        1.26533,
        1.25378,
        1.30791,
        1.29273,
        1.26988,
        1.31946,
        1.3141,
        1.30123,
        1.28705,
        1.32175,
        1.28071,
        1.29348,
        1.29691,
        1.29786,
        1.28585,
        1.25423,
        1.28713,
        1.32832,
        1.23451,
        1.28344,
        1.29787,
        1.28681,
        1.25952,
        1.3334,
        1.31095,
        1.36115,
        1.3791,
        1.34302,
        1.3077,
        1.28148,
        1.32316,
        1.30879,
        1.28457,
        1.27411,
        1.28101,
        1.26398,
        1.35061,
        1.36861,
        1.33623,
        1.30675,
        1.34776,
        1.29943,
        1.27307,
        1.29973,
        1.25418,
        1.3073,
        1.27513,
        1.30829,
        1.31511,
        1.32817,
        1.34802,
        1.34096,
        1.34892,
        1.32887,
        1.30947,
        1.30703,
        1.29969,
        1.31077,
        1.30673,
        1.3035,
        1.27983,
        1.28812,
        1.29423,
        1.33387,
        1.30535,
        1.28896,
        1.26503,
        1.29262,
        1.32379,
        1.30622,
        1.30241,
        1.31482,
        1.32641,
        1.30439,
        1.27311,
        1.30474,
        1.30402,
        1.28287,
        1.31689,
        1.3237,
        1.32183,
        1.33764,
        1.31475,
        1.31172,
        1.32692,
        1.28289,
        1.29738,
        1.3007,
        1.30975,
        1.33255,
        1.31857,
        1.34314,
        1.28925,
        1.29077,
        1.33033,
        1.25998,
        1.34479,
        1.34417,
        1.26892,
        1.29438,
        1.28453,
        1.30992,
        1.30522,
        1.31531,
        1.31046,
        1.28064,
        1.28751,
        1.34007,
        1.3204,
        1.32955,
        1.28115,
        1.25914,
        1.29455,
        1.30501,
        1.28928,
        1.2409,
        1.22718,
        1.2841,
        1.27059,
        1.2874,
        1.27567,
        1.30963,
        1.29131,
        1.29763,
        1.31203,
        1.25852,
        1.2459,
        1.24562,
        1.29294,
        1.28658,
        1.3065,
        1.27197,
        1.26816,
        1.27064,
        1.30433,
        1.25562,
        1.28005,
        1.25039,
        1.24321,
        1.26038,
        1.29705,
        1.27334,
        1.29152,
        1.29949,
        1.2514,
        1.30722,
        1.38546,
        1.31399,
        1.26582,
        1.29342,
        1.30386,
        1.29941,
        1.26256,
        1.31776,
        1.32068,
        1.31398,
        1.26461,
        1.24128,
        1.24775,
        1.3138,
        1.3233,
        1.2877,
        1.30221,
        1.28498,
        1.28024,
        1.19538,
        1.2343,
        1.27001,
        1.28296,
        1.32061,
        1.32867,
        1.30763,
        1.27513,
        1.27486,
        1.30829,
        1.28038,
        1.25453,
        1.25184,
        1.23634,
        1.26836,
        1.28154,
        1.25831,
        1.29079,
        1.30317,
        1.29237,
        1.20851,
        1.19499,
        1.20403,
        1.27552,
        1.28996,
        1.26583,
        1.25158,
        1.27647,
        1.24698,
        1.2466,
        1.24469,
        1.26858,
        1.26864,
        1.29716,
        1.29502,
        1.26907,
        1.28004,
        1.26368,
        1.25795,
        1.27766,
        1.26916,
        1.27116,
        1.30931,
        1.26728,
        1.29109,
        1.29753,
        1.28057,
        1.27341,
        1.27757,
        1.23336,
        1.21798,
        1.28207,
        1.32482,
        1.25442,
        1.25976,
        1.27632,
        1.25703,
        1.31652,
        1.30224,
        1.31152,
        1.27011,
        1.25289,
        1.25641,
        1.26391,
        1.25555,
        1.22989,
        1.23833,
        1.22547,
        1.27785,
        1.23931,
        1.28135,
        1.29413,
        1.31772,
        1.3104,
        1.28806,
        1.34024,
        1.31867,
        1.27839,
        1.31163,
        1.32362,
        1.29004,
        1.2541,
        1.22366,
        1.27829,
        1.27509,
        1.27455,
        1.25997,
        1.30805,
        1.32477,
        1.3104,
        1.25233,
        1.25916,
        1.28195,
        1.28495,
        1.31185,
        1.28007,
        1.24584,
        1.2771,
        1.32668,
        1.32093,
        1.28875,
        1.22379,
        1.25187,
        1.267,
        1.30457,
        1.25536,
        1.29498,
        1.28185,
        1.31138,
        1.30371,
        1.29665,
        1.28102,
        1.26464,
        1.30243,
        1.28172,
        1.3525,
        1.333,
        1.3193,
        1.29558,
        1.25773,
        1.24784,
        1.25897,
        1.30839,
        1.30776,
        1.24753,
        1.26003,
        1.24362,
        1.24548,
        1.25213,
        1.30132,
        1.21223,
        1.25897,
        1.32196,
        1.24927,
        1.26139,
        1.27065,
        1.29251,
        1.25964,
        1.2549,
        1.29928,
        1.31922,
        1.28988,
        1.24051,
        1.20655,
        1.25694,
        1.23649,
        1.27754,
        1.31241,
        1.25509,
        1.2348,
        1.23037,
        1.26634,
        1.24875,
        1.26992,
        1.26248,
        1.28262,
        1.30499,
        1.31332,
        1.23706,
        1.26178,
        1.30319,
        1.34403,
        1.29116,
        1.2611,
        1.24333,
        1.22847,
        1.25968,
        1.26557,
        1.27026,
        1.27991,
        1.31268,
        1.3469,
        1.28501,
        1.31819,
        1.26606,
        1.33753,
        1.31162,
        1.25906,
        1.25389,
        1.29013,
        1.36042,
        1.26222,
        1.2913,
        1.30983,
        1.29578,
        1.32113,
        1.29994,
        1.22922,
        1.31363,
        1.26334,
        1.27641,
        1.24684,
        1.24344,
        1.2492,
        1.28019,
        1.2268,
        1.25821,
        1.3177,
        1.39474,
        1.29387,
        1.26451,
        1.24393,
        1.30913,
        1.31127,
        1.31164,
        1.22948,
        1.30171,
        1.324,
        1.29873,
        1.28733,
        1.28472,
        1.32164,
        1.3556,
        1.30966,
        1.21476,
        1.29865,
        1.26151,
        1.28699,
        1.27005,
        1.32286,
        1.37527,
        1.32592,
        1.30377,
        1.2719,
        1.24313,
        1.31561,
        1.25205,
        1.27801,
        1.28888,
        1.3309,
        1.34032,
        1.26616,
        1.32742,
        1.3337,
        1.33352,
        1.29418,
        1.28379,
        1.28558,
        1.28552,
        1.32702,
        1.28158,
        1.37453,
        1.312,
        1.26987,
        1.29956,
        1.2987,
        1.22612,
        1.24516,
        1.28588,
        1.24273,
        1.25426,
        1.26422,
        1.2993,
        1.33045,
        1.30519,
        1.30422,
        1.23769,
        1.24803,
        1.25913,
        1.32834,
        1.34051,
        1.37434,
        1.32543,
        1.32513,
        1.3427,
        1.36036,
        1.27678,
        1.34602,
        1.36184,
        1.348,
        1.30492,
        1.23184,
        1.28238,
        1.32995,
        1.33819,
        1.35647,
        1.33051,
        1.35766,
        1.33494,
        1.3429,
        1.3613,
        1.28381,
        1.32801,
        1.27137,
        1.35293,
        1.35934,
        1.39788,
        1.33915,
        1.36969,
        1.43269,
        1.42213,
        1.37931,
        1.26222,
        1.24501,
        1.32434,
        1.45697,
        1.48571,
        1.46702,
        1.27838,
        1.39181,
        1.3887,
        1.33295,
        1.28746,
        1.30818,
        1.43505,
        1.442,
        1.39882,
        1.46045,
        1.26308,
        1.27061,
        1.44487,
        1.22226,
        1.13812,
        1.29839,
        0.953492,
        1.28605,
        1.05231,
        null,
        1.5016,
        1.38892,
        1.45248,
        1.45128,
        1.43634,
        1.18954,
        1.11354,
        1.43853,
        1.39294,
        1.35713,
        1.35009,
        1.42242,
        1.19592,
        1.21163,
        1.24929,
        1.31394,
        1.24902,
        1.23279,
        1.10172,
        1.03776,
        1.31817,
        1.5679,
        1.61917,
        1.38552,
        1.34731,
        1.13245,
        1.36037,
        1.40559,
        1.27607,
        1.21574,
        1.19828,
        1.42711,
        1.28426,
        1.23114,
        1.44264,
        1.41178,
        1.3615,
        1.26854,
        1.3041,
        1.29659,
        1.3414,
        1.2865,
        1.31956,
        1.31218,
        1.27195,
        1.2449,
        1.18887,
        1.10761,
        1.13049,
        1.33585,
        1.30499,
        1.21688,
        1.12495,
        1.25035,
        1.33998,
        1.31394,
        1.33513,
        1.31217,
        1.30151,
        1.25272,
        1.3018,
        1.40442,
        1.30041,
        1.31936,
        1.25364,
        1.24946,
        1.30743,
        1.28136,
        1.32799,
        1.22488,
        1.25139,
        1.28676,
        1.17641,
        1.30882,
        1.3734,
        1.35289,
        1.28192,
        1.38315,
        1.34627,
        1.33754,
        1.31767,
        1.28576,
        1.1243,
        1.24805,
        1.33003,
        1.1558,
        1.28924,
        1.29353,
        1.2749,
        1.18441,
        1.24197,
        1.22599,
        1.23938,
        1.21809,
        1.24019,
        1.3571,
        1.42161,
        1.36577,
        1.34687,
        1.33169,
        1.31855,
        1.27609,
        1.19404,
        1.31808,
        1.32708,
        1.22766,
        1.28073,
        1.35149,
        1.28815,
        1.33839,
        1.36172,
        1.23111,
        1.22316,
        1.3461,
        1.31911,
        1.29238,
        1.28022,
        1.2105,
        1.2053,
        1.20551,
        1.19252,
        1.33244,
        1.42477,
        1.22124,
        1.29042,
        1.28449,
        1.32025,
        1.38839,
        1.29279,
        1.21058,
        1.24805,
        1.22144,
        1.34345,
        1.28863,
        1.35666,
        1.27725,
        1.35468,
        1.41359,
        1.26901,
        1.25168,
        1.34132,
        1.34637,
        1.22955,
        1.1592,
        1.29856,
        1.29353,
        1.18986,
        1.21633,
        1.33291,
        1.36935,
        1.25906,
        1.27372,
        1.34426,
        1.25491,
        1.29633,
        1.21273,
        1.25602,
        1.27151,
        1.33835,
        1.281,
        1.27126,
        1.26952,
        1.30926,
        1.33081,
        1.29449,
        1.37396,
        1.29674,
        1.20739,
        1.19366,
        1.22021,
        1.26588,
        1.24663,
        1.28643,
        1.18633,
        1.22486,
        1.21993,
        1.27194,
        1.19244,
        1.25777,
        1.23422,
        1.20023,
        1.17156,
        1.27575,
        1.27216,
        1.31069,
        1.26263,
        1.18073,
        1.23684,
        1.20064,
        1.26232,
        1.30563,
        1.34071,
        1.21137,
        1.17047,
        1.3113,
        1.31067,
        1.24992,
        1.26057,
        1.21978,
        1.35323,
        1.32152,
        1.27695,
        1.26511,
        1.35961,
        1.2629,
        1.19977,
        1.32962,
        1.27184,
        1.38113,
        1.26661,
        1.30399,
        1.35917,
        1.39268,
        1.28513,
        1.29104,
        1.35901,
        1.29636,
        1.34101,
        1.315,
        1.21528,
        1.23134,
        1.4161,
        1.27158,
        1.31959,
        1.31761,
        1.27799,
        1.25423,
        1.23713,
        1.25113,
        1.27808,
        1.28885,
        1.21383,
        1.22642,
        1.2911,
        1.27545,
        1.21629,
        1.17951,
        1.20838,
        1.27749,
        1.2257,
        1.29226,
        1.26736,
        1.27219,
        1.18286,
        1.27864,
        1.36554,
        1.20708,
        1.47547,
        1.36864,
        1.31432,
        1.33298,
        1.21609,
        1.25091,
        1.23565,
        1.27075,
        1.18513,
        1.15774,
        1.34977,
        1.44789,
        1.41479,
        1.45646,
        1.27136,
        1.21378,
        1.29377,
        1.29866,
        1.40257,
        1.32176,
        1.36138,
        1.21503,
        1.29251,
        1.27421,
        1.29075,
        1.2157,
        1.43167,
        1.39075,
        1.18792,
        1.26721,
        1.22982,
        1.46741,
        1.39376,
        1.46529,
        1.37525,
        1.28682,
        1.37652,
        1.43012,
        1.13938,
        1.37449,
        1.20999,
        1.32377,
        1.34597,
        1.42279,
        1.30406,
        1.51356,
        null,
        1.587,
        1.5063,
        1.47888,
        1.1443,
        1.65767,
        1.537,
        1.31144,
        1.17305,
        1.32552,
        1.26847,
        1.17539,
        1.13541,
        1.26578,
        1.27866,
        1.307,
        1.2597,
        1.38122,
        1.28205,
        1.47012,
        1.45863,
        1.36928,
        1.35687,
        1.40546,
        1.41167,
        1.51607,
        1.23437,
        1.31381,
        1.3292,
        1.47267,
        1.40402,
        1.32245,
        1.2182,
        1.36164,
        1.40699,
        1.24701,
        1.29468,
        1.47653,
        1.38308,
        1.25409,
        1.35174,
        1.24508,
        1.37962,
        1.27511,
        1.28146,
        1.38396,
        1.28882,
        1.36169,
        1.27432,
        1.22494,
        1.16581,
        1.30485,
        1.38105,
        1.25296,
        1.31898,
        1.27212,
        1.37472,
        1.34215,
        1.30149,
        1.23408,
        1.23529,
        1.12705,
        1.26057,
        1.30796,
        1.32424,
        1.16836,
        1.21576,
        1.19032,
        1.30562,
        1.29131,
        1.38654,
        1.27555,
        1.40656,
        1.41783,
        1.24451,
        1.3597,
        1.11615,
        1.17225,
        1.4386,
        1.0862,
        1.16206,
        0.944811,
        1.22976,
        1.2042,
        1.0338,
        1.14922,
        1.26032,
        1.34253,
        1.26017,
        1.27548,
        1.36409,
        1.50208,
        1.4657,
        1.21255,
        1.25463,
        1.40096,
        1.359,
        1.276,
        1.34312,
        1.24305,
        1.18358,
        1.25658,
        1.26423,
        1.24253,
        1.25457,
        1.18937,
        1.31164,
        1.36977,
        1.32718,
        1.31055,
        1.33385,
        1.24312,
        1.26585,
        1.2075,
        1.19218,
        1.23607,
        1.30153,
        1.31067,
        1.28036,
        1.26248,
        1.28081,
        1.3041,
        1.27021,
        1.30553,
        1.35388,
        1.3076,
        1.24277,
        1.29442,
        1.20892,
        1.30421,
        1.22509,
        1.24036,
        1.35216,
        1.21949,
        1.32561,
        1.24701,
        1.25661,
        1.27765,
        1.20887,
        1.20571,
        1.17046,
        1.27058,
        1.22356,
        1.1496,
        1.13681,
        1.24459,
        1.26644,
        1.27071,
        1.29295,
        1.30603,
        1.34465,
        1.26718,
        1.23038,
        1.23852,
        1.33437,
        1.24441,
        1.16196,
        1.21599,
        1.20735,
        1.25949,
        1.23859,
        1.19962,
        1.18663,
        1.18918,
        1.32805,
        1.29433,
        1.27644,
        1.26905,
        1.2247,
        1.23145,
        1.26542,
        1.24141,
        1.22299,
        1.24643,
        1.26007,
        1.28288,
        1.27656,
        1.28556,
        1.34577,
        1.32094,
        1.28711,
        1.30377,
        1.3536,
        1.30738,
        1.23229,
        1.23098,
        1.24044,
        1.21604,
        1.20782,
        1.29476,
        1.31704,
        1.33559,
        1.37012,
        1.27875,
        1.26983,
        1.27279,
        1.25025,
        1.29312,
        1.29725,
        1.28787,
        1.26885,
        1.2821,
        1.25244,
        1.27379,
        1.28416,
        1.33803,
        1.31095,
        1.32161,
        1.32925,
        1.23918,
        1.2431,
        1.21996,
        1.3064,
        1.30814,
        1.30159,
        1.22289,
        1.26529,
        1.31678,
        1.28438,
        1.28992,
        1.23363,
        1.29404,
        1.27457,
        1.30495,
        1.3067,
        1.28726,
        1.29948,
        1.31103,
        1.30441,
        1.36422,
        1.36181,
        1.30996,
        1.29337,
        1.32634,
        1.33473,
        1.34501,
        1.33954,
        1.29356,
        1.31071,
        1.31826,
        1.27483,
        1.25736,
        1.33708,
        1.24856,
        1.2686,
        1.25271,
        1.30438,
        1.33517,
        1.31177,
        1.28391,
        1.23892,
        1.307,
        1.32735,
        1.39565,
        1.32176,
        1.21747,
        1.28652,
        1.32388,
        1.26096,
        1.26589,
        1.21122,
        1.24978,
        1.23632,
        1.26201,
        1.28441,
        1.25871,
        1.32045,
        1.27363,
        1.26293,
        1.25035,
        1.3111,
        1.30582,
        1.35344,
        1.31359,
        1.31486,
        1.29746,
        1.3357,
        1.31013,
        1.32809,
        1.30711,
        1.24598,
        1.31694,
        1.4031,
        1.30098,
        1.31783,
        1.31183,
        1.27737,
        1.29245,
        1.27169,
        1.28592,
        1.24195,
        1.21356,
        1.28026,
        1.28348,
        1.30498,
        1.27662,
        1.245,
        1.28199,
        1.33993,
        1.32882,
        1.293,
        1.28114,
        1.24481,
        1.31359,
        1.32079,
        1.29646,
        1.26294,
        1.30903,
        1.34983,
        1.32698,
        1.36858,
        1.27615,
        1.30523,
        1.31681,
        1.32603,
        1.29181,
        1.28674,
        1.26567,
        1.31874,
        1.33311,
        1.28183,
        1.31951,
        1.26085,
        1.29982,
        1.28829,
        1.26099,
        1.33949,
        1.32851,
        1.20025,
        1.20408,
        1.23257,
        1.23737,
        1.22314,
        1.25375,
        1.32297,
        1.2702,
        1.26972,
        1.28442,
        1.239,
        1.31595,
        1.26069,
        1.2721,
        1.24973,
        1.28008,
        1.26423,
        1.2227,
        1.25231,
        1.30431,
        1.2777,
        1.23503,
        1.26771,
        1.27077,
        1.29618,
        1.30069,
        1.26027,
        1.3047,
        1.23913,
        1.24911,
        1.26315,
        1.23443,
        1.25301,
        1.2423,
        1.19826,
        1.2617,
        1.22756,
        1.2963,
        1.26644,
        1.32459,
        1.29124,
        1.26911,
        1.2222,
        1.30838,
        1.2379,
        1.30236,
        1.27956,
        1.3248,
        1.2763,
        1.27629,
        1.24364,
        1.30723,
        1.31779,
        1.22757,
        1.24013,
        1.18009,
        1.18845,
        1.27256,
        1.28019,
        1.28758,
        1.27123,
        1.33639,
        1.35325,
        1.30012,
        1.30628,
        1.30103,
        1.337,
        1.35027,
        1.33254,
        1.35579,
        1.38046,
        1.28778,
        1.29857,
        1.29985,
        1.37899,
        1.33481,
        1.28829,
        1.29472,
        1.31312,
        1.39584,
        1.28023,
        1.3063,
        1.31339,
        1.35211,
        1.28815,
        1.32065,
        1.31223,
        1.34684,
        1.2834,
        1.31642,
        1.28703,
        1.29982,
        1.32794,
        1.29589,
        1.2934,
        1.33214,
        1.27774,
        1.32519,
        1.37863,
        1.33089,
        1.26952,
        1.35966,
        1.3294,
        1.28758,
        1.29069,
        null,
        1.2394,
        1.29068,
        1.29541,
        1.25719,
        1.25804,
        1.25667,
        1.27002,
        1.23547,
        1.22631,
        1.26953,
        1.27018,
        1.29452,
        1.28561,
        1.31587,
        1.30134,
        1.25157,
        1.22742,
        1.2742,
        1.2826,
        1.28448,
        1.28903,
        1.28284,
        1.28695,
        1.29831,
        1.24603,
        1.29616,
        1.30091,
        1.31739,
        1.2904,
        1.31072,
        1.29685,
        1.28286,
        1.27082,
        1.23799,
        1.2767,
        1.28195,
        1.27382,
        1.26664,
        1.25442,
        1.24697,
        1.25973,
        1.24275,
        1.23688,
        1.24723,
        1.3168,
        1.30276,
        1.24348,
        1.24552,
        1.26601,
        1.29886,
        1.26922,
        1.28699,
        1.25857,
        1.30871,
        1.31828,
        1.29738,
        1.24037,
        1.28866,
        1.29906,
        1.23622,
        1.20631,
        1.28392,
        1.30594,
        1.30542,
        1.3022,
        1.32921,
        1.3047,
        1.30268,
        1.27562,
        1.26589,
        1.32197,
        1.2596,
        1.23895,
        1.25103,
        1.22286,
        1.27193,
        1.30717,
        1.29713,
        1.27324,
        1.27504,
        1.27901,
        1.28713,
        1.28896,
        1.26361,
        1.22238,
        1.23687,
        1.26148,
        1.27927,
        1.2568,
        1.25038,
        1.28203,
        1.29424,
        1.29201,
        1.28156,
        1.27686,
        1.31169,
        1.30709,
        1.2533,
        1.26192,
        1.26579,
        1.26125,
        1.27995,
        1.27268,
        1.29715,
        1.33313,
        1.27782,
        1.26677,
        1.28695,
        1.29093,
        1.29485,
        1.29783,
        1.27124,
        1.31468,
        1.31845,
        1.29461,
        1.31835,
        1.32901,
        1.33367,
        1.34115,
        1.36185,
        1.21151,
        1.08869,
        1.63186,
        1.71122,
        1.40649,
        1.31143,
        1.29864,
        1.28141,
        1.28128,
        1.26643,
        1.25748,
        1.27043,
        1.19979,
        1.17975,
        1.24822,
        1.28248,
        1.26494,
        1.3145,
        1.29262,
        1.28346,
        1.26473,
        1.33524,
        1.30938,
        1.23738,
        1.26204,
        1.28602,
        1.29203,
        1.28795,
        1.28515,
        1.24325,
        1.23706,
        1.25354,
        1.28747,
        1.25902,
        1.26742,
        1.26441,
        1.24085,
        1.27655,
        1.27496,
        1.2787,
        1.26994,
        1.30321,
        1.29835,
        1.27931,
        1.27169,
        1.24348,
        1.26804,
        1.28878,
        1.27797,
        1.22614,
        1.21927,
        1.23151,
        1.24584,
        1.25954,
        1.22815,
        1.24616,
        1.25955,
        1.22594,
        1.253,
        1.25523,
        1.25707,
        1.27929,
        1.27805,
        1.26343,
        1.26365,
        1.2502,
        1.24515,
        1.24539,
        1.25163,
        1.25556,
        1.24286,
        1.19865,
        1.24305,
        1.2671,
        1.21381,
        1.22182,
        1.22644,
        1.23041,
        1.23131,
        1.23957,
        1.21409,
        1.24133,
        1.25992,
        1.21126,
        1.21745,
        1.24999,
        1.26371,
        1.2578,
        1.26419,
        1.27919,
        1.28064,
        1.26448,
        1.25432,
        1.25702,
        1.28207,
        1.22597,
        1.22704,
        1.26674,
        1.3135,
        1.27501,
        1.27943,
        1.26249,
        1.26949,
        1.23825,
        1.2781,
        1.25214,
        1.28333,
        1.26597,
        1.253,
        1.28123,
        1.29378,
        1.2581,
        1.24043,
        1.24457,
        1.25583,
        1.24629,
        1.23575,
        1.27596,
        1.22632,
        1.22422,
        1.20899,
        1.23094,
        1.27144,
        1.27455,
        1.25433,
        1.25617,
        1.28977,
        1.33906,
        1.27881,
        1.27351,
        1.24497,
        1.23729,
        1.25045,
        1.25265,
        1.23054,
        1.25643,
        1.28032,
        1.26345,
        1.24134,
        1.22638,
        1.22309,
        1.24611,
        1.24233,
        1.27039,
        1.2816,
        1.24471,
        1.26667,
        1.28397,
        1.28291,
        1.24877,
        1.24571,
        1.2502,
        1.26002,
        1.25404,
        1.27504,
        1.25665,
        1.24554,
        1.26575,
        1.25448,
        1.28718,
        1.30589,
        1.26665,
        1.26163,
        1.28025,
        1.26542,
        1.25508,
        1.29074,
        1.28555,
        1.2835,
        1.27739,
        1.27346,
        1.26985,
        1.30192,
        1.28545,
        1.25993,
        1.28046,
        1.30506,
        1.30786,
        1.29481,
        1.29693,
        1.27051,
        1.22351,
        1.24537,
        1.26567,
        1.23911,
        1.2858,
        1.34811,
        1.32302,
        1.28978,
        1.28315,
        1.25095,
        1.27045,
        1.29972,
        1.26689,
        1.29392,
        1.30171,
        1.27832,
        1.28011,
        1.30072,
        1.29223,
        1.29449,
        1.29599,
        1.34207,
        1.28456,
        1.28831,
        1.31525,
        1.32078,
        1.31933,
        1.33264,
        1.33297,
        1.32234,
        1.34037,
        1.34387,
        1.35553,
        1.3572,
        1.36619,
        1.33928,
        1.30526,
        1.33151,
        1.30665,
        1.30798,
        1.28978,
        1.32135,
        1.34791,
        1.3782,
        1.34801,
        1.38141,
        1.36487,
        1.36089,
        1.37399,
        1.37594,
        1.34574,
        1.36082,
        1.38361,
        1.3885,
        1.34809,
        1.33792,
        1.37762,
        1.36785,
        1.37304,
        1.36263,
        1.33631,
        1.35282,
        1.38151,
        1.37904,
        1.32856,
        1.335,
        1.323,
        1.32118,
        1.27383,
        1.26787,
        1.26593,
        1.25509,
        1.24961,
        1.26953,
        1.28606,
        1.29347,
        1.29637,
        1.28105,
        1.25868,
        1.28316,
        1.28326,
        1.27442,
        1.34138,
        1.34921,
        1.36694,
        1.38312,
        1.36448,
        1.39079,
        1.36366,
        1.37361,
        1.35457,
        1.35678,
        1.32158,
        1.33811,
        1.34124,
        1.35209,
        1.35225,
        1.33541,
        1.35991,
        1.36382,
        1.35372,
        1.32358,
        1.34397,
        1.29906,
        1.31583,
        1.32636,
        1.31691,
        1.32857,
        1.317,
        1.31397,
        1.34894,
        1.3381,
        1.34734,
        1.34577,
        1.33645,
        1.3522,
        1.32575,
        1.31406,
        1.27585,
        1.32989,
        1.3159,
        1.30583,
        1.33238,
        1.31475,
        1.28923,
        1.27541,
        1.28127,
        1.27924,
        1.29305,
        1.28334,
        1.27682,
        1.2798,
        1.29978,
        1.29248,
        1.30293,
        1.32219,
        1.28984,
        1.26787,
        1.25529,
        1.31266,
        1.33435,
        1.30979,
        1.25949,
        1.2745,
        1.32478,
        1.29693,
        1.28843,
        1.28425,
        1.29603,
        1.29677,
        1.27429,
        1.25245,
        1.26567,
        1.27051,
        1.2763,
        1.29926,
        1.28479,
        1.26283,
        1.29276,
        1.33819,
        1.27723,
        1.28435,
        1.28762,
        1.26853,
        1.30605,
        1.3065,
        1.30035,
        1.27932,
        1.27871,
        1.28101,
        1.2027,
        1.24686,
        1.26956,
        1.27424,
        1.27553,
        1.2352,
        1.24738,
        1.24734,
        1.2225,
        1.21873,
        1.30153,
        1.30301,
        1.35678,
        1.28942,
        1.25787,
        1.24785,
        1.24326,
        1.27236,
        1.27763,
        1.28226,
        1.27366,
        1.22041,
        1.22055,
        1.26402,
        1.26567,
        1.23583,
        1.27641,
        1.27099,
        1.27112,
        1.24125,
        1.26576,
        1.26193,
        1.30094,
        1.2731,
        1.24107,
        1.23853,
        1.23133,
        1.26625,
        1.24999,
        1.25939,
        1.25241,
        1.27334,
        1.25894,
        1.20975,
        1.22828,
        1.25926,
        1.26915,
        1.28615,
        1.28168,
        1.29957,
        1.27042,
        1.27568,
        1.27852,
        1.27458,
        1.24824,
        1.25435,
        1.28668,
        1.22252,
        1.24235,
        1.28555,
        1.26885,
        1.29049,
        1.29067,
        1.27799,
        1.29958,
        1.30142,
        1.28605,
        1.25124,
        1.2688,
        1.27212,
        1.2593,
        1.28174,
        1.29381,
        1.27659,
        1.26802,
        1.27397,
        1.30807,
        1.27746,
        1.23489,
        1.19557,
        1.24824,
        1.2273,
        1.26628,
        1.27309,
        1.26313,
        1.26544,
        1.22454,
        1.22704,
        1.23452,
        1.25518,
        1.28234,
        1.2574,
        1.27468,
        1.30959,
        1.27787,
        1.23061,
        1.26547,
        1.27851,
        1.30533,
        1.3115,
        1.2875,
        1.28393,
        1.25393,
        1.24398,
        1.25651,
        1.26172,
        1.23386,
        1.26377,
        1.26812,
        1.24568,
        1.25331,
        1.2492,
        1.23846,
        1.25874,
        1.2579,
        1.29645,
        1.2866,
        1.24713,
        1.20596,
        1.21851,
        1.26773,
        1.25082,
        1.22981,
        1.23509,
        1.27628,
        1.3374,
        1.30901,
        1.25857,
        1.26071,
        1.27093,
        1.27485,
        1.20859,
        1.23292,
        1.18305,
        1.23792,
        1.26167,
        1.28087,
        1.26876,
        1.31163,
        1.29719,
        1.2703,
        1.33596,
        1.30842,
        1.2824,
        1.2659,
        1.26944,
        1.21609,
        1.31658,
        1.2322,
        1.23477,
        1.2996,
        1.31412,
        1.26345,
        1.24006,
        1.2497,
        1.24865,
        1.19855,
        1.27401,
        1.31494,
        1.23961,
        1.29121,
        1.30717,
        1.19986,
        1.29499,
        1.22775,
        1.18732,
        1.2494,
        1.2699,
        1.25502,
        1.17086,
        1.3652,
        1.5978,
        1.86957,
        1.63136,
        1.3831,
        1.09813,
        1.35819,
        1.3407,
        1.27769,
        1.23792,
        1.24611,
        1.1553,
        1.31487,
        1.19947,
        1.16049,
        1.25191,
        1.3534,
        1.25359,
        1.24013,
        1.27401,
        1.23586,
        1.24722,
        1.23675,
        1.20169,
        1.24912,
        1.24218,
        1.22511,
        1.30583,
        1.30621,
        1.30458,
        1.31144,
        1.26242,
        1.26685,
        1.24894,
        1.21301,
        1.22391,
        1.30515,
        1.33353,
        1.29217,
        1.19336,
        1.25401,
        1.23196,
        1.23178,
        1.25291,
        1.26365,
        1.25819,
        1.24825,
        1.22044,
        1.20866,
        1.26373,
        1.32286,
        1.30175,
        1.27355,
        1.21613,
        1.30408,
        1.26544,
        1.26203,
        1.2821,
        1.23007,
        1.25957,
        1.24223,
        1.2482,
        1.27459,
        1.2893,
        1.26928,
        1.27706,
        1.27826,
        1.2987,
        1.27538,
        1.19396,
        1.23891,
        1.29578,
        1.28225,
        1.25717,
        1.22145,
        1.241,
        1.26955,
        1.28995,
        1.27498,
        1.26629,
        1.25343,
        1.25291,
        1.26431,
        1.27552,
        1.29138,
        1.28967,
        1.23745,
        1.22509,
        1.24573,
        1.25384,
        1.24338,
        1.25337,
        1.26423,
        1.22764,
        1.27925,
        1.27484,
        1.27682,
        1.29193,
        1.30187,
        1.28216,
        1.25312,
        1.26226,
        1.28719,
        1.27897,
        1.29724,
        1.27363,
        1.28002,
        1.23627,
        1.22855,
        1.2258,
        1.23908,
        1.30259,
        1.28678,
        1.28992,
        1.2384,
        1.22904,
        1.26201,
        1.2716,
        1.27146,
        1.24637,
        1.26112,
        1.25827,
        1.33273,
        1.30678,
        1.27995,
        1.29184,
        1.28589,
        1.28907,
        1.27997,
        1.32024,
        1.30979,
        1.28385,
        1.29928,
        1.27441,
        1.252,
        1.24608,
        1.25729,
        1.23608,
        1.27106,
        1.27599,
        1.27655,
        1.26349,
        1.31436,
        1.30177,
        1.2942,
        1.25305,
        1.26307,
        1.2702,
        1.28679,
        1.26022,
        1.22892,
        1.2472,
        1.24076,
        1.26863,
        1.26696,
        1.26315,
        1.26204,
        1.28122,
        1.29582,
        1.25586,
        1.29005,
        1.29735,
        1.29535,
        1.27795,
        1.30115,
        1.25613,
        1.24961,
        1.23884,
        1.29451,
        1.28291,
        1.29622,
        1.27003,
        1.24287,
        1.25105,
        1.22915,
        1.248,
        1.27529,
        1.26615,
        1.27593,
        1.25727,
        1.25211,
        1.26073,
        1.25988,
        1.27513,
        1.27087,
        1.27208,
        1.23699,
        1.28593,
        1.28846,
        1.26342,
        1.29804,
        1.25631,
        1.24156,
        1.27618,
        1.26187,
        1.26308,
        1.2487,
        1.22264,
        1.24777,
        1.25584,
        1.2606,
        1.26323,
        1.28697,
        1.23941,
        1.22334,
        1.23947,
        1.24971,
        1.25321,
        1.26995,
        1.25657,
        1.22769,
        1.26153,
        1.24824,
        1.27126,
        1.24568,
        1.24271,
        1.27951,
        1.28886,
        1.25365,
        1.26465,
        1.2614,
        1.26786,
        1.26204,
        1.24651,
        1.26337,
        1.26306,
        1.26445,
        1.29608,
        1.27499,
        1.26063,
        1.23956,
        1.23185,
        1.2601,
        1.27673,
        1.27941,
        1.32873,
        1.29376,
        1.27543,
        1.24028,
        1.234,
        1.31004,
        1.30946,
        1.29711,
        1.27916,
        1.26016,
        1.2666,
        1.25713,
        1.28484,
        1.27581,
        1.23348,
        1.25319,
        1.2867,
        1.27447,
        1.26238,
        1.26157,
        1.28097,
        1.3145,
        1.30185,
        1.29486,
        1.3087,
        1.29635,
        1.28007,
        1.29515,
        1.3208,
        1.30985,
        1.26672,
        1.2767,
        1.32716,
        1.31773,
        1.32365,
        1.3347,
        1.32772,
        1.34143,
        1.33825,
        1.31673,
        1.32677,
        1.32779,
        1.32152,
        1.31444,
        1.29529,
        1.29821,
        1.30078,
        1.30955,
        1.35447,
        1.29958,
        1.3062,
        1.30465,
        1.29438,
        1.30029,
        1.31766,
        1.32161,
        1.29806,
        1.33047,
        1.34351,
        1.33908,
        1.31951,
        1.36178,
        1.35795,
        1.38031,
        1.38572,
        1.40114,
        1.36329,
        1.32882,
        1.34629,
        1.32382,
        1.30802,
        1.30769,
        1.28932,
        1.25891,
        1.27739,
        1.27201,
        1.28715,
        1.24447,
        1.23877,
        1.2516,
        1.27522,
        1.25187,
        1.25826,
        1.24244,
        1.24878,
        1.23483,
        1.25924,
        1.30624,
        1.30724,
        1.31026,
        1.32688,
        1.32545,
        1.35082,
        1.33555,
        1.29252,
        1.33649,
        1.3212,
        1.34491,
        1.35155,
        1.37762,
        1.37851,
        1.33825,
        1.32434,
        1.32844,
        1.34707,
        1.2975,
        1.32187,
        1.35168,
        1.34031,
        1.35211,
        1.33026,
        1.35096,
        1.3182,
        1.30891,
        1.34581,
        1.35491,
        1.32553,
        1.34162,
        1.32817,
        1.30181,
        1.29171,
        1.30667,
        1.30984,
        1.35633,
        1.31764,
        1.32281,
        1.3068,
        1.30512,
        1.3268,
        1.33112,
        1.31093,
        1.29793,
        1.2907,
        1.26873,
        1.27634,
        1.27898,
        1.26821,
        1.26592,
        1.32016,
        1.2635,
        1.27072,
        1.26282,
        1.26746,
        1.26026,
        1.27175,
        1.26602,
        1.25073,
        1.24446,
        1.31473,
        1.291,
        1.26141,
        1.25342,
        1.30009,
        1.30097,
        1.29676,
        1.25663,
        1.25997,
        1.2579,
        1.23754,
        1.24311,
        1.25254,
        1.27717,
        1.32524,
        1.27496,
        1.29379,
        1.28758,
        1.28127,
        1.23952,
        1.23706,
        1.25205,
        1.21722,
        1.255,
        1.24533,
        1.24469,
        1.24992,
        1.22968,
        1.23804,
        1.26019,
        1.25901,
        1.3136,
        1.29006,
        1.26251,
        1.29844,
        1.29441,
        1.27079,
        1.26139,
        1.22694,
        1.2293,
        1.27685,
        1.23423,
        1.24276,
        1.25215,
        1.27506,
        1.27003,
        1.23214,
        1.23911,
        1.26003,
        1.21426,
        1.23442,
        1.25007,
        1.24675,
        1.24214,
        1.22496,
        1.24477,
        1.25839,
        1.26565,
        1.26316,
        1.2443,
        1.26035,
        1.24403,
        1.26091,
        1.31815,
        1.28799,
        1.28226,
        1.23565,
        1.27973,
        1.28187,
        1.27719,
        1.28053,
        1.2444,
        1.19608,
        1.20762,
        1.24907,
        1.23739,
        1.26718,
        1.23691,
        1.25676,
        1.25994,
        1.24676,
        1.26593,
        1.26893,
        1.24779,
        1.235,
        1.19494,
        1.22611,
        1.24026,
        1.22448,
        1.2254,
        1.27066,
        1.28122,
        1.26199,
        1.26309,
        1.26375,
        1.22688,
        1.23241,
        1.26015,
        1.2399,
        1.24042,
        1.25785,
        1.25911,
        1.24565,
        1.27203,
        1.27416,
        1.26048,
        1.26164,
        1.23359,
        1.19988,
        1.22215,
        1.25882,
        1.30167,
        1.28621,
        1.24528,
        1.2473,
        1.22171,
        1.27574,
        1.27777,
        1.24839,
        1.2325,
        1.24499,
        1.2509,
        1.20641,
        1.23544,
        1.25003,
        1.27916,
        1.25951,
        1.27286,
        1.29382,
        1.27638,
        1.27444,
        1.25323,
        1.25582,
        1.23083,
        1.20969,
        1.23476,
        1.21012,
        1.26585,
        1.28883,
        1.25478,
        1.26123,
        1.24019,
        1.27494,
        1.24762,
        1.28718,
        1.28244,
        1.25788,
        1.24886,
        1.2335,
        1.23074,
        1.28147,
        1.29636,
        1.267,
        1.23987,
        1.23346,
        1.26156,
        1.23115,
        1.24076,
        1.25485,
        1.26729,
        1.27679,
        1.2838,
        1.26934,
        1.26256,
        1.28816,
        1.27762,
        1.26215,
        1.30192,
        1.27663,
        1.26312,
        1.279,
        1.27306,
        1.25036,
        1.26458,
        1.28161,
        1.25516,
        1.27903,
        1.25824,
        1.24743,
        1.28708,
        1.28432,
        1.2624,
        1.28923,
        1.24162,
        1.27716,
        1.2789,
        1.27638,
        1.2632,
        1.24665,
        1.30413,
        1.32311,
        1.32528,
        1.28236,
        1.29079,
        1.25156,
        1.26342,
        1.25669,
        1.25721,
        1.25404,
        1.23554,
        1.26072,
        1.2935,
        1.29539,
        1.25637,
        1.25833,
        1.27203,
        1.25827,
        1.25892,
        1.26183,
        1.26421,
        1.22249,
        1.28111,
        1.26463,
        1.2485,
        1.26841,
        1.26553,
        1.2561,
        1.30004,
        1.25321,
        1.23549,
        1.24907,
        1.21209,
        1.23199,
        1.25014,
        1.28425,
        1.29109,
        1.29806,
        1.22779,
        1.26353,
        1.26444,
        1.2284,
        1.23732,
        1.22384,
        1.23435,
        1.21863,
        1.19298,
        1.28093,
        1.27213,
        1.25449,
        1.26979,
        1.26551,
        1.27175,
        1.31848,
        1.25826,
        1.24313,
        1.26675,
        1.2118,
        1.23383,
        1.20924,
        1.23142,
        1.20329,
        1.23947,
        1.18307,
        1.21119,
        1.26851,
        1.20757,
        1.23316,
        1.18548,
        1.2261,
        1.26046,
        1.25385,
        1.21747,
        1.20386,
        1.18183,
        1.21449,
        1.20129,
        1.24125,
        1.25819,
        1.24263,
        1.20767,
        1.22808,
        1.24106,
        1.23792,
        1.23083,
        1.25326,
        1.27368,
        1.27908,
        1.25865,
        1.21144,
        1.22502,
        1.19205,
        1.23575,
        1.27902,
        1.28503,
        1.2943,
        1.27166,
        1.27819,
        1.25761,
        1.24075,
        1.23431,
        1.21044,
        1.25529,
        1.3437,
        1.27253,
        1.28212,
        1.2863,
        1.22847,
        1.21189,
        1.25514,
        1.24936,
        1.22474,
        1.23216,
        1.24614,
        1.243,
        1.23623,
        1.27492,
        1.21744,
        1.21354,
        1.25745,
        1.24981,
        1.21177,
        1.21204,
        1.25966,
        1.26611,
        1.26224,
        1.20733,
        1.25568,
        1.22231,
        1.27298,
        1.24152,
        1.26101,
        1.27649,
        1.25734,
        1.24281,
        1.1686,
        1.20414,
        1.20799,
        1.14833,
        1.22353,
        1.25666,
        1.25893,
        1.25307,
        1.25718,
        1.21645,
        1.27137,
        1.25959,
        1.27744,
        1.26379,
        1.27437,
        1.20721,
        1.20943,
        1.26173,
        1.24075,
        1.24929,
        1.2673,
        1.25651,
        1.244,
        1.26044,
        1.27726,
        1.27744,
        1.24985,
        1.17452,
        1.25449,
        1.3312,
        1.23835,
        1.21135,
        1.25727,
        1.25053,
        1.26896,
        1.22691,
        1.22857,
        1.20826,
        1.25404,
        1.20981,
        1.24372,
        1.24588,
        1.31741,
        1.2597,
        1.26018,
        1.24529,
        1.23685,
        1.25564,
        1.25528,
        1.22806,
        1.22378,
        1.22975,
        1.21343,
        1.19555,
        1.20838,
        1.19877,
        1.23808,
        1.24755,
        1.25914,
        1.26431,
        1.26123,
        1.12858,
        1.26092,
        1.26859,
        1.32467,
        1.24301,
        1.26564,
        1.1777,
        1.22033,
        1.28844,
        1.25656,
        1.19156,
        1.25035,
        1.25417,
        1.28696,
        1.2574,
        1.21156,
        1.21733,
        1.20725,
        1.2215,
        1.28368,
        1.23163,
        1.24233,
        1.18467,
        1.22744,
        1.24225,
        1.25942,
        1.2454,
        1.19721,
        1.25373,
        1.25026,
        1.2116,
        1.27772,
        1.38404,
        1.33515,
        1.31877,
        1.26247,
        1.265,
        1.21395,
        1.183,
        1.20239,
        1.28817,
        1.35962,
        1.24395,
        1.18264,
        1.21203,
        1.21984,
        1.21114,
        1.27624,
        1.22789,
        1.23724,
        1.16067,
        1.15085,
        1.15939,
        1.21613,
        1.31319,
        1.32515,
        1.26731,
        1.24672,
        1.22507,
        1.28986,
        1.18677,
        1.1563,
        1.17138,
        1.20754,
        1.26107,
        1.25238,
        1.30913,
        1.27558,
        1.23179,
        1.26662,
        1.1801,
        1.24169,
        1.23077,
        1.19626,
        1.11573,
        1.24187,
        1.27574,
        1.21777,
        1.3054,
        1.35061,
        1.32821,
        1.29948,
        1.30987,
        1.25218,
        1.21842,
        1.25113,
        1.22384,
        1.23151,
        1.34957,
        1.36103,
        1.32044,
        1.30528,
        1.24357,
        1.26072,
        1.24688,
        1.26388,
        1.17806,
        1.22999,
        1.1643,
        1.24205,
        1.39431,
        1.2634,
        1.25288,
        1.18401,
        1.19547,
        1.26461,
        1.28551,
        1.32093,
        1.27872,
        1.28625,
        1.2444,
        1.24016,
        1.23926,
        1.21736,
        1.18581,
        1.2881,
        1.26596,
        1.33443,
        1.26174,
        1.18633,
        1.23766,
        1.24967,
        1.22662,
        1.28699,
        1.30859,
        1.27102,
        1.32517,
        1.27092,
        1.28616,
        1.25288,
        1.1323,
        1.23184,
        1.29753,
        1.35046,
        1.32285,
        1.26521,
        1.21014,
        1.32528,
        1.32669,
        1.18822,
        1.24857,
        1.30637,
        1.29975,
        1.29325,
        1.30813,
        1.28808,
        1.26302,
        1.32694,
        1.26173,
        1.26401,
        1.38137,
        1.26116,
        1.29497,
        1.30298,
        1.35809,
        1.34115,
        1.23619,
        1.31244,
        1.441,
        1.35285,
        1.42933,
        1.3579,
        1.23163,
        1.34446,
        1.28948,
        1.37183,
        1.35475,
        1.34854,
        1.29958,
        1.26833,
        1.32871,
        1.45334,
        1.34493,
        1.34626,
        1.38859,
        1.32758,
        1.17123,
        1.2516,
        1.11528,
        1.24367,
        1.38219,
        1.54367,
        1.45158,
        1.27068,
        1.27939,
        1.35937,
        1.3815,
        1.39496,
        1.27828,
        1.41261,
        1.26581,
        1.21523,
        1.22885,
        1.30242,
        1.21621,
        1.09372,
        1.32302,
        1.37827,
        1.33064,
        1.17584,
        1.24503,
        1.23488,
        1.36602,
        1.23287,
        1.24762,
        1.33476,
        1.65136,
        1.64554,
        1.39178,
        1.37383,
        1.39268,
        1.28693,
        1.42608,
        1.37612,
        1.17896,
        1.17913,
        1.18438,
        1.45511,
        1.15563,
        1.32488,
        1.46194,
        1.6242,
        1.70951,
        null,
        1.45636,
        1.18864,
        1.40133,
        1.18261,
        1.17139,
        1.20647,
        1.6708,
        1.77821,
        1.31953,
        1.03538,
        1.08142,
        1.41305,
        1.2935,
        1.12463,
        1.06137,
        1.26514,
        1.10806,
        1.12181,
        1.17335,
        1.30709,
        1.26469,
        1.17307,
        1.24889,
        1.35651,
        1.19204,
        1.16202,
        1.21494,
        1.29377,
        1.27808,
        1.08065,
        1.23372,
        1.58553,
        1.32641,
        1.34015,
        1.17176,
        1.13376,
        1.28646,
        1.29422,
        1.09136,
        1.33215,
        1.1117,
        1.24598,
        1.15505,
        null,
        1.30967,
        1.31136,
        1.32478,
        1.35201,
        1.26588,
        1.27993,
        1.29984,
        1.24328,
        1.33478,
        1.34834,
        1.32989,
        1.31757,
        1.385,
        1.35694,
        1.33824,
        1.29262,
        1.28162,
        1.29955,
        1.30952,
        1.3466,
        1.28798,
        1.22237,
        1.23552,
        1.26215,
        1.24301,
        1.32499,
        1.31911,
        1.27059,
        1.25282,
        1.31198,
        1.36431,
        1.31859,
        1.32307,
        1.34164,
        1.27788,
        1.27736,
        1.28872,
        1.29487,
        1.24669,
        1.26154,
        1.22137,
        1.284,
        1.26228,
        1.27245,
        1.2602,
        1.32705,
        1.2558,
        1.27342,
        1.22054,
        1.24959,
        1.3055,
        1.26094,
        1.29346,
        1.31567,
        1.33692,
        1.34056,
        1.27339,
        1.33202,
        1.21458,
        1.23059,
        1.27596,
        1.23345,
        1.24138,
        1.32938,
        1.28408,
        1.26884,
        1.24873,
        1.34733,
        1.39755,
        1.28619,
        1.28746,
        1.14984,
        1.25509,
        1.2388,
        1.24637,
        1.33454,
        1.26462,
        1.21686,
        1.39367,
        1.38044,
        1.376,
        1.47184,
        1.35873,
        1.41102,
        1.42075,
        1.34192,
        1.24035,
        1.29978,
        1.316,
        1.26491,
        1.36005,
        1.33591,
        1.2422,
        1.11257,
        1.18061,
        1.15237,
        1.19436,
        1.22273,
        1.30347,
        1.18768,
        1.19966,
        1.34361,
        1.20643,
        1.21761,
        1.35362,
        1.46926,
        1.3185,
        1.30666,
        1.59962,
        1.41101,
        1.48421,
        1.30857,
        1.1886,
        1.15323,
        1.31989,
        1.38472,
        1.34371,
        1.44874,
        1.48755,
        1.75537,
        1.67849,
        1.27026,
        1.325,
        1.11491,
        1.0135,
        1.22857,
        1.46098,
        1.20996,
        1.25886,
        1.28514,
        1.36596,
        1.31358,
        1.23421,
        1.30842,
        1.27881,
        1.39532,
        1.49677,
        1.40814,
        1.32568,
        1.23907,
        1.28974,
        1.31027,
        1.23756,
        1.24526,
        1.32388,
        1.3058,
        1.19667,
        1.19553,
        1.27778,
        1.32873,
        1.35631,
        1.22284,
        1.2381,
        1.29855,
        1.35768,
        1.36565,
        1.29349,
        1.26158,
        1.28522,
        1.29656,
        1.29753,
        1.32647,
        1.29533,
        1.35739,
        1.29924,
        1.2822,
        1.26501,
        1.3,
        1.24754,
        1.2472,
        1.17261,
        1.24995,
        1.33036,
        1.22738,
        1.317,
        1.28379,
        1.21981,
        1.25566,
        1.16686,
        1.28164,
        1.20088,
        1.17378,
        1.28207,
        1.28824,
        1.30715,
        1.39822,
        1.35535,
        1.26156,
        1.24805,
        1.39149,
        1.32684,
        1.3488,
        1.37374,
        1.34656,
        1.32733,
        1.28302,
        1.2864,
        1.28161,
        1.25524,
        1.26957,
        1.32421,
        1.29229,
        1.25094,
        1.27293,
        1.31445,
        1.34473,
        1.31391,
        1.28602,
        1.25909,
        1.28718,
        1.24207,
        1.2461,
        1.30304,
        1.24783,
        1.19787,
        1.26882,
        1.29505,
        1.28352,
        1.24955,
        1.26134,
        1.30987,
        1.34707,
        1.31937,
        1.29019,
        1.32235,
        1.2786,
        1.28197,
        1.25703,
        1.30215,
        1.2914,
        1.29059,
        1.32593,
        1.35118,
        1.30547,
        1.30434,
        1.29252,
        1.30025,
        1.29003,
        1.27811,
        1.25751,
        1.22386,
        1.27678,
        1.31595,
        1.28694,
        1.28161,
        1.30355,
        1.3049,
        1.32538,
        1.31993,
        1.2341,
        1.32571,
        1.30568,
        1.28458,
        1.31003,
        1.3063,
        1.25912,
        1.28283,
        1.2622,
        1.26466,
        1.22847,
        1.20003,
        1.39115,
        1.24696,
        1.18982,
        1.25495,
        1.25319,
        1.38653,
        1.32197,
        1.42304,
        1.33723,
        1.25878,
        1.2697,
        1.2854,
        1.2836,
        1.28884,
        1.33491,
        1.28275,
        1.28131,
        1.40607,
        1.28716,
        1.30544,
        1.32846,
        1.29352,
        1.31074,
        1.28139,
        1.26677,
        1.23959,
        1.22259,
        1.25208,
        1.28859,
        1.23608,
        1.22547,
        1.29936,
        1.27187,
        1.27393,
        1.29392,
        1.28472,
        1.28054,
        1.28601,
        1.32022,
        1.31097,
        1.26155,
        1.31233,
        1.27355,
        1.28139,
        1.30353,
        1.28988,
        1.21444,
        1.24015,
        1.28908,
        1.27845,
        1.27184,
        1.24032,
        1.30899,
        1.35189,
        1.29862,
        1.23509,
        1.25584,
        1.30822,
        1.24571,
        1.24651,
        1.28659,
        1.30737,
        1.30782,
        1.26346,
        1.30107,
        1.28344,
        1.30143,
        1.29853,
        1.28937,
        1.27653,
        1.276,
        1.31483,
        1.30432,
        1.32868,
        1.29228,
        1.28504,
        1.31807,
        1.31691,
        1.30973,
        1.26295,
        1.31241,
        1.29932,
        1.27573,
        1.30197,
        1.32899,
        1.29149,
        1.30269,
        1.34785,
        1.28714,
        1.29882,
        1.2916,
        1.29725,
        1.29957,
        1.31343,
        1.33925,
        1.27543,
        1.28872,
        1.28861,
        1.31048,
        1.35277,
        1.35421,
        1.36581,
        1.3695,
        1.33997,
        1.30596,
        1.30352,
        1.3269,
        1.32674,
        1.33803,
        1.29936,
        1.31531,
        1.30813,
        1.31346,
        1.3243,
        1.28614,
        1.27649,
        1.32677,
        1.33828,
        1.37638,
        1.34496,
        1.26991,
        1.33674,
        1.29667,
        1.33314,
        1.34245,
        1.38504,
        1.33193,
        1.36526,
        1.3712,
        1.38846,
        1.40326,
        1.35277,
        1.33824,
        1.32975,
        1.29459,
        1.36296,
        1.33287,
        1.31874,
        1.3474,
        1.3571,
        1.33671,
        1.37143,
        1.40599,
        1.4093,
        1.39467,
        1.35937,
        1.34544,
        1.35114,
        1.37895,
        1.36767,
        1.40778,
        1.41994,
        1.37231,
        1.38738,
        1.35552,
        1.39108,
        1.44245,
        1.37746,
        1.3623,
        1.36955,
        1.33975,
        1.38207,
        1.36411,
        1.34383,
        1.37443,
        1.36093,
        1.36948,
        1.35319,
        1.30752,
        1.32862,
        1.32555,
        1.31537,
        1.38922,
        1.31798,
        1.24991,
        1.34638,
        1.33867,
        1.31412,
        1.33939,
        1.38033,
        1.37802,
        1.37238,
        1.38531,
        1.39766,
        1.35323,
        1.38345,
        1.42378,
        1.42108,
        1.38799,
        1.40192,
        1.42669,
        1.33772,
        1.35586,
        1.39812,
        1.3768,
        1.44057,
        1.39744,
        1.42215,
        1.34203,
        1.33533,
        1.34687,
        1.29234,
        1.3082,
        1.32567,
        1.3257,
        1.3397,
        1.3872,
        1.41693,
        1.36471,
        1.30131,
        1.33117,
        1.30043,
        1.33366,
        1.36046,
        1.35775,
        1.3337,
        1.38721,
        1.34205,
        1.32003,
        1.32126,
        1.32558,
        1.3758,
        1.32713,
        1.38719,
        1.37143,
        1.31466,
        1.33317,
        1.35251,
        1.4048,
        1.50027,
        1.22165,
        1.22216,
        1.35548,
        1.19659,
        1.41468,
        1.34505,
        1.49305,
        1.69933,
        1.27813,
        1.0596,
        1.33487,
        1.31571,
        1.31054,
        1.36593,
        1.44108,
        1.34941,
        1.36227,
        1.34482,
        1.29705,
        1.36352,
        1.41927,
        1.35606,
        1.25417,
        1.27047,
        1.38749,
        1.3541,
        1.40656,
        1.28278,
        1.33608,
        1.36207,
        1.34523,
        1.35966,
        1.31814,
        1.31301,
        1.34832,
        1.28086,
        1.34497,
        1.30681,
        1.33736,
        1.31804,
        1.30049,
        1.29256,
        1.26064,
        1.28226,
        1.2694,
        1.20438,
        1.28243,
        1.34888,
        1.26505,
        1.26597,
        1.29397,
        1.32741,
        1.34294,
        1.249,
        1.34301,
        1.36624,
        1.34687,
        1.31832,
        1.36084,
        1.36194,
        1.34026,
        1.33402,
        1.34442,
        1.30589,
        1.36024,
        1.30983,
        1.31845,
        1.29788,
        1.33424,
        1.31141,
        1.43106,
        1.44942,
        1.24032,
        1.38855,
        1.371,
        1.30593,
        1.37839,
        1.23334,
        1.37683,
        1.08264,
        0.933062,
        1.03332,
        1.40373,
        1.27655,
        1.20539,
        1.25524,
        1.34653,
        1.23538,
        1.22013,
        1.32822,
        1.33682,
        1.33881,
        1.36402,
        1.28794,
        1.25859,
        1.2862,
        1.28226,
        1.2734,
        1.22298,
        1.24622,
        1.2576,
        1.27077,
        1.26557,
        1.2981,
        1.29315,
        1.34508,
        1.2781,
        1.25573,
        1.27544,
        1.2848,
        1.31799,
        1.33064,
        1.32625,
        1.36275,
        1.37039,
        1.28706,
        1.26573,
        1.289,
        1.27366,
        1.31098,
        1.33455,
        1.32278,
        1.27915,
        1.28658,
        1.25741,
        1.24071,
        1.27397,
        1.35463,
        1.38013,
        1.25232,
        1.27852,
        1.41969,
        1.30131,
        1.34776,
        1.31557,
        1.23916,
        1.27269,
        1.27173,
        1.34522,
        1.30796,
        1.23776,
        1.22442,
        1.38173,
        1.35747,
        1.35203,
        1.34853,
        1.29827,
        1.29892,
        1.33304,
        1.38511,
        1.39818,
        1.26844,
        1.46917,
        1.31955,
        1.39052,
        1.2998,
        1.30387,
        1.28626,
        1.49254,
        1.28119,
        1.43498,
        1.56282,
        1.32912,
        1.20009,
        1.37795,
        1.48232,
        1.30627,
        1.34613,
        1.50136,
        1.48999,
        1.48476,
        1.47685,
        1.38612,
        1.29899,
        1.29654,
        1.16945,
        1.42714,
        1.27035,
        1.28625,
        1.26547,
        1.3798,
        1.33792,
        1.41715,
        1.41717,
        1.36426,
        1.41493,
        1.33599,
        1.20867,
        1.23216,
        1.22785,
        1.30891,
        1.23993,
        1.31992,
        1.22743,
        1.26885,
        1.38438,
        1.26074,
        1.35212,
        1.34933,
        1.26959,
        1.3085,
        1.28383,
        1.31248,
        1.2618,
        1.20573,
        1.16758,
        1.34425,
        1.31952,
        1.22053,
        1.18349,
        1.23577,
        1.29309,
        1.31506,
        1.24883,
        1.33059,
        1.33991,
        1.38111,
        1.30746,
        1.41106,
        1.30009,
        1.27714,
        1.30467,
        1.26684,
        1.28201,
        1.36257,
        1.38171,
        1.16741,
        1.24483,
        1.31703,
        1.26155,
        1.28789,
        1.2591,
        1.2565,
        1.21273,
        1.11716,
        1.32048,
        1.33499,
        1.19827,
        1.10391,
        1.17967,
        1.34846,
        1.27497,
        1.23347,
        1.15084,
        1.2034,
        1.32823,
        1.17652,
        1.09327,
        1.18031,
        1.47449,
        1.30052,
        1.23378,
        1.39946,
        1.09452,
        1.4755,
        1.03386,
        1.32782,
        1.42198,
        1.34253,
        1.23252,
        null,
        1.3795,
        1.15192,
        1.25316,
        1.27936,
        1.14013,
        1.08316,
        1.25549,
        1.38011,
        1.18884,
        1.09843,
        1.11207,
        1.22802,
        1.37459,
        1.07128,
        1.24388,
        1.27912,
        1.15738,
        1.29599,
        1.43151,
        1.21705,
        1.40049,
        1.48541,
        1.29697,
        1.374,
        1.35557,
        1.32812,
        1.35271,
        1.16276,
        1.23837,
        1.35266,
        1.35123,
        1.4753,
        1.37594,
        1.34963,
        1.37525,
        1.37343,
        1.34214,
        1.30112,
        1.34585,
        1.30997,
        1.35595,
        1.39824,
        1.31735,
        1.25138,
        1.28906,
        1.21018,
        1.28052,
        1.31936,
        1.38957,
        1.25495,
        1.26615,
        1.26641,
        1.28989,
        1.34048,
        1.28681,
        1.30198,
        1.31078,
        1.30576,
        1.35797,
        1.38022,
        1.3632,
        1.311,
        1.38847,
        1.2887,
        1.30361,
        1.32986,
        1.31796,
        1.2999,
        1.37826,
        1.30723,
        1.27129,
        1.27847,
        1.23089,
        1.27618,
        1.35089,
        1.21926,
        1.24423,
        1.31733,
        1.26662,
        1.13609,
        1.29797,
        1.31479,
        1.29517,
        1.26922,
        1.38571,
        1.32661,
        1.29996,
        1.24187,
        1.33458,
        1.31383,
        1.26852,
        1.31444,
        1.28965,
        1.27518,
        1.31631,
        1.32941,
        1.27534,
        1.30864,
        1.3155,
        1.28667,
        1.32119,
        1.27414,
        1.31816,
        1.32213,
        1.34423,
        1.37193,
        1.31177,
        1.28876,
        1.32121,
        1.31913,
        1.26637,
        1.24912,
        1.28429,
        1.28963,
        1.35326,
        1.33456,
        1.33158,
        1.3111,
        1.35027,
        1.3363,
        1.30446,
        1.33143,
        1.33554,
        1.33256,
        1.35719,
        1.34884,
        1.30585,
        1.31065,
        1.29615,
        1.31178,
        1.40019,
        1.38384,
        1.32312,
        1.32241,
        1.36326,
        1.38197,
        1.37409,
        1.35453,
        1.39013,
        1.36751,
        1.33225,
        1.35525,
        1.34194,
        1.35836,
        1.36109,
        1.35998,
        1.37152,
        1.34789,
        1.322,
        1.34278,
        1.33828,
        1.34436,
        1.33132,
        1.40329,
        1.3594,
        1.38262,
        1.44982,
        1.45718,
        1.3646,
        1.30866,
        1.33867,
        1.42816,
        1.41375,
        1.34167,
        1.35952,
        1.36378,
        1.33655,
        1.36015,
        1.38649,
        1.42515,
        1.39945,
        1.41808,
        1.40364,
        1.43396,
        1.47438,
        1.42578,
        1.42284,
        1.34409,
        1.299,
        1.36475,
        1.36765,
        1.39801,
        1.41378,
        1.37673,
        1.37431,
        1.36894,
        1.39411,
        1.36072,
        1.36953,
        1.37242,
        1.32941,
        1.26755,
        1.35353,
        1.44822,
        1.36743,
        1.33837,
        1.35006,
        1.31799,
        1.28714,
        1.36315,
        1.32267,
        1.31225,
        1.32626,
        1.3527,
        1.3333,
        1.34736,
        1.36868,
        1.38882,
        1.38865,
        1.37625,
        1.37612,
        1.37832,
        1.4079,
        1.3936,
        1.43175,
        1.35339,
        1.37533,
        1.37013,
        1.38761,
        1.39456,
        1.43397,
        1.40682,
        1.37851,
        1.32926,
        1.35988,
        1.42622,
        1.39133,
        1.38105,
        1.36643,
        1.30608,
        1.33089,
        1.32506,
        1.36442,
        1.38159,
        1.35973,
        1.32704,
        1.30802,
        1.32504,
        1.37652,
        1.33307,
        1.38206,
        1.43878,
        1.36541,
        1.27927,
        1.31973,
        1.30234,
        1.34492,
        1.34136,
        1.35999,
        1.29107,
        1.28323,
        1.34061,
        1.32644,
        1.3064,
        1.34114,
        1.34401,
        1.31467,
        1.33182,
        1.34046,
        1.39749,
        1.36689,
        1.32184,
        1.37337,
        1.38884,
        1.34965,
        1.33739,
        1.34148,
        1.32967,
        1.33547,
        1.36085,
        1.3659,
        1.34966,
        1.31494,
        1.27494,
        1.30435,
        1.3194,
        1.27828,
        1.32373,
        1.38305,
        1.36783,
        1.34381,
        1.37095,
        1.35214,
        1.3177,
        1.24223,
        1.27529,
        1.24955,
        1.29869,
        1.32905,
        1.29853,
        1.29478,
        1.30735,
        1.29632,
        1.29577,
        1.29935,
        1.32184,
        1.34076,
        1.3864,
        1.34533,
        1.32055,
        1.26539,
        1.28089,
        1.29268,
        1.30317,
        1.29829,
        1.30093,
        1.29474,
        1.31631,
        1.31767,
        1.30871,
        1.32567,
        1.37094,
        1.30873,
        1.28134,
        1.29634,
        1.29332,
        1.3052,
        1.31174,
        1.33737,
        1.29655,
        1.31153,
        1.31173,
        1.32754,
        1.35227,
        1.32688,
        1.31032,
        1.30752,
        1.27046,
        1.31235,
        1.33708,
        1.31276,
        1.30587,
        1.31241,
        1.29293,
        1.29495,
        1.29578,
        1.32125,
        1.32989,
        1.3352,
        1.35651,
        1.3182,
        1.29464,
        1.27656,
        1.23825,
        1.2837,
        1.32081,
        1.3119,
        1.37712,
        1.35621,
        1.28499,
        1.28347,
        1.325,
        1.36563,
        1.3637,
        1.33377,
        1.27866,
        1.33276,
        1.30007,
        1.31007,
        1.32564,
        1.2938,
        1.33513,
        1.30955,
        1.33068,
        1.39027,
        1.34406,
        1.36621,
        1.36797,
        1.32482,
        1.29696,
        1.3464,
        1.3377,
        1.31107,
        1.3018,
        1.31743,
        1.29272,
        1.32268,
        1.32239,
        1.33389,
        1.31647,
        1.34559,
        1.36103,
        1.33074,
        1.30306,
        1.36011,
        1.31208,
        1.27677,
        1.34813,
        1.2862,
        1.30783,
        1.37896,
        1.36084,
        1.3417,
        1.37229,
        1.34738,
        1.28467,
        1.25864,
        1.32127,
        1.35975,
        1.29386,
        1.27884,
        1.29957,
        1.25668,
        1.31421,
        1.30214,
        1.3102,
        1.31068,
        1.30763,
        1.29954,
        1.3248,
        1.34645,
        1.3264,
        1.30336,
        1.25508,
        1.29555,
        1.37814,
        1.37035,
        1.29382,
        1.28135,
        1.27543,
        1.32092,
        1.2594,
        1.3133,
        1.32897,
        1.3592,
        1.28552,
        1.27865,
        1.27098,
        1.35612,
        1.31104,
        1.31525,
        1.35243,
        1.33992,
        1.29754,
        1.35482,
        1.36396,
        1.46244,
        1.32586,
        1.48944,
        1.54351,
        1.45143,
        1.22848,
        1.41862,
        1.41721,
        1.17848,
        1.02011,
        1.07534,
        1.37578,
        1.30065,
        1.37743,
        1.27003,
        1.26391,
        1.37203,
        1.20835,
        1.24176,
        1.40908,
        1.36294,
        1.30281,
        1.24082,
        1.27871,
        1.33901,
        1.32247,
        1.38797,
        1.33485,
        1.30559,
        1.28803,
        1.29707,
        1.3654,
        1.28254,
        1.29441,
        1.32707,
        1.30387,
        1.31677,
        1.32547,
        1.31577,
        1.29724,
        1.2198,
        1.31083,
        1.39597,
        1.44288,
        1.2992,
        1.24312,
        1.27839,
        1.30164,
        1.31143,
        1.38631,
        1.43688,
        1.32226,
        1.32611,
        1.34603,
        1.33152,
        1.3395,
        1.36394,
        1.33499,
        1.27248,
        1.31588,
        1.37993,
        1.31202,
        1.26338,
        1.30841,
        1.35887,
        1.3059,
        1.25211,
        1.35742,
        1.36254,
        1.32719,
        1.36592,
        1.27849,
        1.26208,
        1.32292,
        1.27512,
        1.35599,
        1.3914,
        1.39111,
        1.30763,
        1.26878,
        1.34981,
        1.36374,
        1.37476,
        1.33167,
        1.3282,
        1.34061,
        1.32119,
        1.4082,
        1.3255,
        1.36846,
        1.43073,
        1.39441,
        1.35624,
        1.36057,
        1.40759,
        1.43735,
        1.34488,
        1.40973,
        1.32065,
        1.29176,
        1.35828,
        1.36183,
        1.32299,
        1.30127,
        1.41618,
        1.40597,
        1.37282,
        1.38379,
        1.36462,
        1.30687,
        1.37149,
        1.37196,
        1.29209,
        1.27955,
        1.38365,
        1.3561,
        1.44989,
        1.42227,
        1.31035,
        1.32203,
        1.31441,
        1.31458,
        1.32366,
        1.44131,
        1.48887,
        1.31046,
        1.32319,
        1.34621,
        1.33171,
        1.41919,
        1.35308,
        1.40549,
        1.39947,
        1.34432,
        1.40616,
        1.35993,
        1.40896,
        1.4058,
        1.39483,
        1.38904,
        1.31059,
        1.32799,
        1.47196,
        1.3505,
        1.33067,
        1.46997,
        1.40251,
        1.37116,
        1.30831,
        1.33455,
        1.27666,
        1.30343,
        1.39363,
        1.36649,
        1.3303,
        1.41805,
        1.43926,
        1.53268,
        1.39288,
        1.32337,
        1.39595,
        1.3698,
        1.38911,
        1.32234,
        1.31466,
        1.35559,
        1.36118,
        1.45421,
        1.41344,
        1.31796,
        1.32566,
        1.39005,
        1.41631,
        1.37118,
        1.4177,
        1.45166,
        1.37339,
        1.37621,
        1.36458,
        1.43504,
        1.36626,
        1.31516,
        1.37326,
        1.38961,
        1.36428,
        1.41854,
        1.45189,
        1.42135,
        1.41161,
        1.40966,
        1.28649,
        1.35821,
        1.39249,
        1.37377,
        1.35069,
        1.35212,
        1.40148,
        1.39436,
        1.39512,
        1.39246,
        1.3392,
        1.35357,
        1.41066,
        1.42019,
        1.36771,
        1.4097,
        1.39442,
        1.44284,
        1.29408,
        1.33678,
        1.37927,
        1.36367,
        1.35491,
        1.39422,
        1.37156,
        1.35643,
        1.30422,
        1.41338,
        1.40152,
        1.41665,
        1.40491,
        1.53127,
        1.52733,
        1.52319,
        1.4393,
        1.47591,
        1.47026,
        1.44369,
        1.2835,
        1.37597,
        1.38016,
        1.39445,
        1.39521,
        1.35293,
        1.35518,
        1.41731,
        1.45684,
        1.41063,
        1.24782,
        1.20194,
        1.00289,
        1.33411,
        1.44726,
        1.39959,
        1.49021,
        1.56534,
        1.48138,
        1.34355,
        1.49781,
        1.29571,
        1.61892,
        1.46795,
        1.2923,
        1.15961,
        1.20624,
        1.23585,
        1.43187,
        1.33958,
        1.34501,
        1.34884,
        1.29451,
        1.39959,
        1.30599,
        1.3566,
        1.32237,
        1.36933,
        1.35693,
        1.34708,
        1.27821,
        1.43761,
        1.3696,
        1.28879,
        1.33482,
        1.42736,
        1.39845,
        1.4385,
        1.37898,
        1.43213,
        1.39852,
        1.33239,
        1.34607,
        1.39021,
        1.28474,
        1.35254,
        1.43027,
        1.31786,
        1.41377,
        1.39578,
        1.32804,
        1.39921,
        1.38354,
        1.44675,
        1.36006,
        1.31907,
        1.41562,
        1.36749,
        1.441,
        1.454,
        1.46407,
        1.39404,
        1.32861,
        1.3039,
        1.37077,
        1.34915,
        1.39391,
        1.4647,
        1.41247,
        1.40736,
        1.28987,
        1.31732,
        1.34352,
        1.33439,
        1.2926,
        1.31394,
        1.35014,
        1.37063,
        1.29442,
        1.44021,
        1.38723,
        1.39782,
        1.42944,
        1.51908,
        1.52913,
        1.44559,
        1.45715,
        1.39836,
        1.41507,
        1.31423,
        1.27487,
        1.42727,
        1.33343,
        1.36371,
        1.33054,
        1.32607,
        1.37583,
        1.4064,
        1.34372,
        1.37047,
        1.31463,
        1.41384,
        1.44843,
        1.40156,
        1.44997,
        1.4637,
        1.40274,
        1.3269,
        1.29823,
        1.38015,
        1.35418,
        1.46568,
        1.41486,
        1.41186,
        1.39757,
        1.3164,
        1.28735,
        1.29489,
        1.35155,
        1.34056,
        1.40915,
        1.3985,
        1.40997,
        1.33569,
        1.34843,
        1.39917,
        1.48973,
        1.4862,
        1.40548,
        1.41993,
        1.33184,
        1.36031,
        1.4808,
        1.36317,
        1.37446,
        1.44092,
        1.41838,
        1.38575,
        1.33209,
        1.41761,
        1.35394,
        1.3309,
        1.3009,
        1.41166,
        1.4306,
        1.46711,
        1.41517,
        1.3964,
        1.45308,
        1.3397,
        1.42453,
        1.46781,
        1.3132,
        1.35331,
        1.41562,
        1.46307,
        1.39556,
        1.44018,
        1.32702,
        1.39924,
        1.51052,
        1.4034,
        1.40966,
        1.35519,
        1.39681,
        1.45339,
        1.40983,
        1.32428,
        1.41915,
        1.43067,
        1.35049,
        1.30313,
        1.37409,
        1.33541,
        1.29042,
        1.32561,
        1.33627,
        1.23043,
        1.34241,
        1.4464,
        1.39046,
        1.36351,
        1.25168,
        1.39216,
        1.37877,
        1.32441,
        1.30543,
        1.46022,
        1.35361,
        1.41927,
        1.36239,
        1.35762,
        1.30133,
        1.48116,
        1.54245,
        1.4346,
        1.38488,
        1.36998,
        1.39783,
        1.41394,
        1.36822,
        1.44884,
        1.41761,
        1.42098,
        1.28964,
        1.3903,
        1.31965,
        1.43416,
        1.44601,
        1.35276,
        1.26044,
        1.35576,
        1.45457,
        1.44442,
        1.47746,
        1.37085,
        1.24407,
        1.24298,
        1.25532,
        1.24501,
        1.26883,
        1.3691,
        1.43739,
        1.44044,
        1.20958,
        1.26404,
        1.244,
        1.30608,
        1.33823,
        1.27273,
        1.27247,
        1.22705,
        1.30947,
        1.35711,
        1.30002,
        1.19313,
        1.36274,
        1.30208,
        1.15126,
        1.18832,
        1.05095,
        1.36912,
        1.40838,
        1.37662,
        1.40128,
        1.21768,
        1.28177,
        1.26195,
        1.32892,
        1.38025,
        1.17856,
        1.2051,
        1.29381,
        1.30182,
        1.23126,
        1.30494,
        1.39166,
        1.21939,
        1.32812,
        1.42706,
        1.14188,
        1.25496,
        1.37217,
        1.32308,
        1.30562,
        1.46295,
        1.39071,
        1.15699,
        1.5886,
        1.36291,
        1.29667,
        1.36424,
        1.22435,
        1.05213,
        1.2076,
        1.09142,
        1.44544,
        1.501,
        1.40563,
        1.4354,
        1.23853,
        1.49822,
        1.51429,
        1.13593,
        1.22634,
        1.33886,
        1.53861,
        1.52259,
        1.66714,
        1.68213,
        1.53356,
        1.43003,
        1.38779,
        1.33287,
        1.22962,
        1.49627,
        1.43664,
        1.38331,
        1.4013,
        1.23831,
        null,
        1.76088,
        1.70234,
        1.33626,
        1.33248,
        1.53521,
        1.22462,
        1.40006,
        1.20075,
        1.18149,
        1.57088,
        1.37566,
        1.44535,
        1.36943,
        1.17488,
        1.31795,
        1.39586,
        1.15128,
        0.931361,
        1.44898,
        1.74189,
        1.36788,
        1.25442,
        1.49008,
        1.40053,
        1.42083,
        1.34097,
        1.31381,
        1.41154,
        1.25629,
        1.29767,
        1.20138,
        1.41313,
        1.52355,
        1.28906,
        1.3213,
        1.17037,
        1.12585,
        1.43227,
        1.48382,
        1.44945,
        1.2776,
        1.18774,
        1.19608,
        1.5759,
        1.30346,
        1.40313,
        1.31424,
        1.23138,
        1.20752,
        1.37648,
        1.34951,
        1.18866,
        1.24534,
        1.35203,
        1.27942,
        1.34046,
        1.26624,
        1.2698,
        1.33236,
        1.38139,
        1.333,
        1.14663,
        1.29673,
        1.46783,
        1.19509,
        1.20767,
        1.36563,
        1.2512,
        1.29547,
        1.35649,
        1.29313,
        1.30369,
        1.27976,
        1.31347,
        1.32816,
        1.27098,
        1.41969,
        1.55203,
        1.43171,
        1.44753,
        1.35317,
        1.46219,
        1.16903,
        1.26386,
        1.20415,
        1.20589,
        1.39446,
        1.36908,
        1.23288,
        1.23997,
        1.11726,
        1.29508,
        1.45275,
        1.1792,
        1.25465,
        1.16459,
        1.33861,
        1.19381,
        1.32498,
        1.33005,
        1.50742,
        1.22626,
        1.22803,
        1.29538,
        1.4401,
        1.21728,
        1.32405,
        1.31699,
        1.27323,
        1.23111,
        1.36726,
        1.37549,
        1.33879,
        1.27198,
        1.334,
        1.46872,
        1.35158,
        1.23223,
        1.29606,
        1.20524,
        1.26146,
        1.37616,
        1.33336,
        1.38499,
        1.4613,
        1.27707,
        1.2721,
        1.2693,
        1.26058,
        1.23842,
        1.32743,
        1.30836,
        1.40081,
        1.41257,
        1.40354,
        1.32205,
        1.27217,
        1.16476,
        1.18282,
        1.38734,
        1.33868,
        1.24256,
        1.37015,
        1.30708,
        1.3235,
        1.37387,
        1.38358,
        1.34089,
        1.29773,
        1.29378,
        1.38142,
        1.2842,
        1.32136,
        1.38316,
        1.3,
        1.39263,
        1.40413,
        1.38124,
        1.41963,
        1.3327,
        1.32482,
        1.40245,
        1.38847,
        1.3458,
        1.27783,
        1.21265,
        1.32747,
        1.42202,
        1.48221,
        1.40237,
        1.57308,
        1.38856,
        1.44755,
        1.52189,
        1.35594,
        1.39054,
        1.44511,
        1.36339,
        1.35608,
        1.30131,
        1.2417,
        1.29538,
        1.3032,
        1.32117,
        1.25552,
        1.48902,
        1.43612,
        1.37693,
        1.3294,
        1.20304,
        1.2884,
        1.26665,
        1.28092,
        1.24822,
        1.27117,
        1.25406,
        1.31458,
        1.32347,
        1.35918,
        1.32408,
        1.2512,
        1.24501,
        1.28497,
        1.26254,
        1.27027,
        1.36546,
        1.30079,
        1.18334,
        1.2498,
        1.34374,
        1.27,
        1.46335,
        1.38071,
        1.26658,
        1.31538,
        1.26078,
        1.25612,
        1.27568,
        1.37191,
        1.37452,
        1.16824,
        1.18985,
        1.27788,
        1.30765,
        1.26431,
        1.18816,
        1.09395,
        1.33941,
        1.28821,
        1.3795,
        1.20081,
        1.2922,
        1.25969,
        1.29066,
        1.5084,
        1.26759,
        1.14909,
        1.33378,
        1.30804,
        1.39571,
        1.35256,
        1.28238,
        1.36213,
        1.31667,
        1.34799,
        1.30612,
        1.31514,
        1.26771,
        1.40906,
        1.44193,
        1.43931,
        1.49023,
        1.43754,
        1.32737,
        1.3174,
        1.22521,
        1.28689,
        1.3377,
        1.28622,
        1.36503,
        1.3532,
        1.34608,
        1.25141,
        1.26992,
        1.27323,
        1.25766,
        1.23045,
        1.33332,
        1.4364,
        1.39179,
        1.31077,
        1.32017,
        1.37398,
        1.37407,
        1.3563,
        1.34863,
        1.38058,
        1.3291,
        1.31063,
        1.25512,
        1.34916,
        1.46082,
        1.39825,
        1.38736,
        1.26392,
        1.29666,
        1.34865,
        1.31438,
        1.26707,
        1.37828,
        1.32943,
        1.34253,
        1.45311,
        1.45968,
        1.41859,
        1.42356,
        1.48915,
        1.38819,
        1.35842,
        1.38448,
        1.35857,
        1.30684,
        1.30582,
        1.37802,
        1.352,
        1.40275,
        1.39297,
        1.34878,
        1.30893,
        1.33189,
        1.30405,
        1.37258,
        1.35946,
        1.3347,
        1.45065,
        1.44141,
        1.3931,
        1.30735,
        1.27399,
        1.31216,
        1.36382,
        1.39101,
        1.46085,
        1.40992,
        1.39816,
        1.42681,
        1.42992,
        1.4445,
        1.34199,
        1.33977,
        1.37996,
        1.3753,
        1.46014,
        1.39624,
        1.36044,
        1.38947,
        1.42872,
        1.42288,
        1.40772,
        1.39288,
        1.30747,
        1.29467,
        1.34942,
        1.36812,
        1.28017,
        1.27909,
        1.3058,
        1.3544,
        1.37864,
        1.36442,
        1.3518,
        1.38966,
        1.47242,
        1.49323,
        1.4391,
        1.3243,
        1.29248,
        1.33175,
        1.39565,
        1.40472,
        1.37751,
        1.40994,
        1.42862,
        1.38314,
        1.48149,
        1.47344,
        1.2139,
        1.01407,
        1.49247,
        1.64177,
        1.304,
        1.51537,
        1.38162,
        1.32831,
        1.37695,
        1.40708,
        1.37935,
        1.43174,
        1.35352,
        1.43012,
        1.45776,
        1.43854,
        1.40802,
        1.36291,
        1.4503,
        1.45481,
        1.47515,
        1.41793,
        1.3791,
        1.42207,
        1.42409,
        1.38114,
        1.33973,
        1.43474,
        1.40708,
        1.45025,
        1.40628,
        1.35541,
        1.3506,
        1.46071,
        1.44522,
        1.40008,
        1.40699,
        1.35931,
        1.33495,
        1.44076,
        1.39598,
        1.39882,
        1.43155,
        1.38143,
        1.45183,
        1.43404,
        1.39769,
        1.33153,
        1.41967,
        1.44338,
        1.42326,
        1.40014,
        1.42261,
        1.40741,
        1.36642,
        1.41587,
        1.3687,
        1.39792,
        1.38221,
        1.41839,
        1.42955,
        1.35321,
        1.40396,
        1.38323,
        1.46887,
        1.46365,
        1.37099,
        1.37254,
        1.36064,
        1.33754,
        1.33584,
        1.42008,
        1.40157,
        1.42914,
        1.39735,
        1.41391,
        1.41216,
        1.42693,
        1.26764,
        1.37754,
        1.38682,
        1.40536,
        1.34646,
        1.3777,
        1.36902,
        1.28408,
        1.20505,
        1.36856,
        1.31656,
        1.11906,
        1.07716,
        1.30844,
        1.32166,
        1.31886,
        1.31765,
        1.32828,
        1.21568,
        1.4346,
        1.34926,
        1.42908,
        1.36146,
        1.45061,
        1.53828,
        1.4708,
        1.44281,
        1.39559,
        1.37868,
        1.33913,
        1.31458,
        1.34616,
        1.4061,
        1.40275,
        1.42868,
        1.38548,
        1.29285,
        1.33064,
        1.27183,
        1.345,
        1.51828,
        1.24366,
        1.36612,
        1.29266,
        1.39607,
        1.3763,
        1.35916,
        1.298,
        1.28994,
        1.20504,
        1.24281,
        1.28533,
        1.34774,
        1.3663,
        1.28012,
        1.27647,
        1.26905,
        1.32698,
        1.37933,
        1.35174,
        1.34063,
        1.31803,
        1.39683,
        1.38273,
        1.36441,
        1.36288,
        1.36241,
        1.36508,
        1.33219,
        1.42699,
        1.39925,
        1.36673,
        1.32728,
        1.42506,
        1.38853,
        1.3298,
        1.33353,
        1.33007,
        1.29889,
        1.30286,
        1.40205,
        1.42383,
        1.40769,
        1.31757,
        1.33385,
        1.37349,
        1.3984,
        1.35542,
        1.33082,
        1.36537,
        1.2569,
        1.29904,
        1.37172,
        1.31124,
        1.37355,
        1.36412,
        1.31314,
        1.32717,
        1.32007,
        1.32228,
        1.33372,
        1.3709,
        1.37009,
        1.37626,
        1.29934,
        1.36777,
        1.39916,
        1.40356,
        1.42826,
        1.35588,
        1.3548,
        1.29808,
        1.34103,
        1.41664,
        1.44052,
        1.34022,
        1.35102,
        1.30471,
        1.31947,
        1.3139,
        1.36746,
        1.30602,
        1.31745,
        1.29489,
        1.38318,
        1.34318,
        1.32533,
        1.33083,
        1.31539,
        1.31441,
        1.32309,
        1.34783,
        1.35098,
        1.28949,
        1.33017,
        1.33537,
        1.33553,
        1.23323,
        1.31226,
        1.39613,
        1.41436,
        1.41683,
        1.35949,
        1.42531,
        1.39029,
        1.37908,
        1.39122,
        1.41111,
        1.41445,
        1.34499,
        1.33555,
        1.33757,
        1.36591,
        1.45758,
        1.41599,
        1.40159,
        1.37432,
        1.33359,
        1.31519,
        1.35949,
        1.368,
        1.37533,
        1.34838,
        1.34986,
        1.37796,
        1.39023,
        1.42328,
        1.40904,
        1.36244,
        1.42314,
        1.42871,
        1.44324,
        1.41736,
        1.39854,
        1.39506,
        1.39725,
        1.29838,
        1.34751,
        1.3222,
        1.36277,
        1.35264,
        1.34959,
        1.29188,
        1.2756,
        1.32294,
        1.37391,
        1.35445,
        1.36666,
        1.3333,
        1.30902,
        1.33795,
        1.30286,
        1.38943,
        1.41483,
        1.34677,
        1.36392,
        1.3412,
        1.36128,
        1.31595,
        1.32242,
        1.33291,
        1.35813,
        1.38412,
        1.3723,
        1.37143,
        1.3458,
        1.35858,
        1.3496,
        1.38989,
        1.40636,
        1.36185,
        1.30174,
        1.34361,
        1.3885,
        1.36252,
        1.33648,
        1.34282,
        1.33944,
        1.32336,
        1.2385,
        1.29323,
        1.29679,
        1.32511,
        1.30779,
        1.32436,
        1.34306,
        1.27414,
        1.26919,
        1.34474,
        1.35802,
        1.27998,
        1.34214,
        1.37096,
        1.32372,
        1.30913,
        1.33918,
        1.37143,
        1.37468,
        1.3452,
        1.28242,
        1.26718,
        1.26394,
        1.28124,
        1.36433,
        1.38853,
        1.34315,
        1.45008,
        1.26256,
        1.19872,
        1.35603,
        1.25678,
        1.23946,
        1.31087,
        1.29808,
        1.33319,
        1.31817,
        1.33542,
        1.35701,
        1.37193,
        1.32711,
        1.38975,
        1.34007,
        1.31467,
        1.34658,
        1.35137,
        1.3608,
        1.29962,
        1.32417,
        1.2884,
        1.27134,
        1.32146,
        1.42416,
        1.34487,
        1.2939,
        1.30905,
        1.31084,
        1.29698,
        1.33225,
        1.28574,
        1.31714,
        1.3346,
        1.30742,
        1.33071,
        1.29921,
        1.31995,
        1.34769,
        1.28348,
        1.26988,
        1.32787,
        1.3202,
        1.26622,
        1.33489,
        1.38409,
        1.26627,
        1.27104,
        1.306,
        1.32457,
        1.32279,
        1.30378,
        1.31738,
        1.35838,
        1.37357,
        1.32936,
        1.36378,
        1.31582,
        1.26075,
        1.24523,
        1.20626,
        1.22121,
        1.25618,
        1.1842,
        1.29179,
        1.40979,
        1.34748,
        1.23653,
        1.29407,
        1.33048,
        1.26196,
        1.31492,
        1.39984,
        1.42491,
        1.43996,
        1.45785,
        1.43284,
        1.3739,
        1.2644,
        1.31724,
        1.33758,
        1.30759,
        1.34994,
        1.40707,
        1.38131,
        1.33983,
        1.37808,
        1.36705,
        1.33679,
        1.40731,
        1.34255,
        1.40051,
        1.43525,
        1.34149,
        1.33374,
        1.2949,
        1.29858,
        1.30666,
        1.32036,
        1.35172,
        1.29032,
        1.26491,
        1.37993,
        1.32988,
        1.32823,
        1.34282,
        1.26725,
        1.35194,
        1.27887,
        1.284,
        1.30404,
        1.31773,
        1.36495,
        1.29838,
        1.25737,
        1.24024,
        1.25023,
        1.26339,
        1.27107,
        1.24778,
        1.26692,
        1.16794,
        1.25532,
        1.37021,
        1.29755,
        1.29385,
        1.37333,
        1.2853,
        1.23863,
        1.26749,
        1.3264,
        1.38136,
        1.42529,
        1.34739,
        1.23851,
        1.30189,
        1.25722,
        1.32211,
        1.42363,
        1.36997,
        1.29336,
        1.22102,
        1.28889,
        1.30206,
        1.29311,
        1.29205,
        1.34827,
        1.4119,
        1.42441,
        1.38771,
        1.34204,
        1.30258,
        1.27739,
        1.38515,
        1.35773,
        1.31975,
        1.33185,
        1.33977,
        1.32094,
        1.33803,
        1.34967,
        1.43527,
        1.35985,
        1.26612,
        1.19894,
        1.29341,
        1.35154,
        1.4636,
        1.49319,
        1.4957,
        1.42518,
        1.3904,
        1.39981,
        1.27033,
        1.31119,
        1.33231,
        1.34135,
        1.36905,
        1.36579,
        1.27662,
        1.42483,
        1.50269,
        1.45929,
        1.35154,
        1.23985,
        1.24868,
        1.37375,
        1.32817,
        1.37604,
        1.24432,
        1.18238,
        1.27139,
        1.41457,
        1.41428,
        1.4309,
        1.35241,
        1.44626,
        1.30064,
        1.30444,
        1.38306,
        1.50328,
        1.40451,
        1.23564,
        1.3036,
        1.48896,
        1.48376,
        1.25024,
        1.30844,
        1.27098,
        1.32369,
        1.33765,
        1.54088,
        1.27386,
        1.28074,
        1.36554,
        1.48071,
        1.28971,
        1.19119,
        1.23687,
        1.41636,
        1.43854,
        1.35192,
        1.17839,
        1.06667,
        1.12509,
        1.34715,
        1.41441,
        1.34873,
        1.8142,
        1.60497,
        1.457,
        1.59558,
        1.33835,
        1.40202,
        null,
        1.24494,
        1.48263,
        1.38387,
        1.10056,
        1.34348,
        1.14631,
        1.17407,
        1.46168,
        1.52573,
        1.35586,
        1.3056,
        1.33368,
        1.16328,
        1.46586,
        1.38894,
        1.35876,
        1.49002,
        1.32897,
        1.47193,
        1.41986,
        1.41166,
        1.43984,
        1.50891,
        1.41057,
        1.3881,
        1.53672,
        1.43559,
        1.39151,
        1.40316,
        1.32844,
        1.37842,
        1.40004,
        1.32542,
        1.43475,
        1.37692,
        1.27035,
        1.1767,
        1.39294,
        1.33696,
        1.22876,
        1.22521,
        1.55324,
        1.73405,
        1.31417,
        1.2723,
        1.3704,
        1.46383,
        1.3359,
        1.29289,
        1.28085,
        1.31316,
        1.31815,
        1.36762,
        1.33308,
        1.44224,
        1.42162,
        1.46765,
        1.33448,
        1.43263,
        1.43489,
        1.41131,
        1.37734,
        1.42579,
        1.45072,
        1.31604,
        1.44764,
        1.44098,
        1.33977,
        1.39153,
        1.38141,
        1.43433,
        1.37186,
        1.36262,
        1.42133,
        1.41481,
        1.42315,
        1.30699,
        1.34913,
        1.31389,
        1.27829,
        1.32215,
        1.36998,
        1.35324,
        1.30213,
        1.38925,
        1.34525,
        1.37302,
        1.2907,
        1.36231,
        1.36885,
        1.40647,
        1.39491,
        1.35265,
        1.40684,
        1.42504,
        1.30479,
        1.26908,
        1.31467,
        1.33076,
        1.36605,
        1.40859,
        1.27536,
        1.28905,
        1.33577,
        1.38654,
        1.43848,
        1.43099,
        1.41054,
        1.3298,
        1.31264,
        1.33169,
        1.38543,
        1.38698,
        1.34916,
        1.35159,
        1.37289,
        1.29128,
        1.38656,
        1.42131,
        1.34185,
        1.36031,
        1.33422,
        1.33861,
        1.32894,
        1.39488,
        1.42542,
        1.4156,
        1.35792,
        1.3478,
        1.33621,
        1.30049,
        1.16776,
        1.2348,
        1.30243,
        1.23514,
        1.32946,
        1.36067,
        1.31287,
        1.37615,
        1.31922,
        1.34876,
        1.3802,
        1.30127,
        1.37228,
        1.42912,
        1.4224,
        1.36557,
        1.30156,
        1.35696,
        1.34552,
        1.38118,
        1.31715,
        1.29752,
        1.31185,
        1.31867,
        1.29541,
        1.34629,
        1.40573,
        1.36752,
        1.3165,
        1.27078,
        1.23263,
        1.34,
        1.32091,
        1.2924,
        1.17299,
        1.2436,
        1.33795,
        1.36252,
        1.29191,
        1.25561,
        1.27878,
        1.32573,
        1.32914,
        1.37632,
        1.29064,
        1.2997,
        1.27852,
        1.36026,
        1.35271,
        1.38598,
        1.39121,
        1.36074,
        1.32484,
        1.30837,
        1.3156,
        1.24306,
        1.19659,
        1.19956,
        1.30002,
        1.3573,
        1.37381,
        1.33681,
        1.25667,
        1.35372,
        1.29933,
        1.27653,
        1.25047,
        1.26854,
        1.24595,
        1.25883,
        1.26641,
        1.30842,
        1.393,
        1.3389,
        1.28635,
        1.34387,
        1.35406,
        1.32998,
        1.34517,
        1.40264,
        1.29504,
        1.19714,
        1.3026,
        1.26539,
        1.35491,
        1.35064,
        1.32533,
        1.36163,
        1.32747,
        1.28943,
        1.31096,
        1.26368,
        1.27503,
        1.213,
        1.28494,
        1.35583,
        1.38024,
        1.40526,
        1.33959,
        1.37058,
        1.41141,
        1.35925,
        1.33211,
        1.28554,
        1.26901,
        1.24416,
        1.35032,
        1.33194,
        1.29054,
        1.3644,
        1.38527,
        1.40581,
        1.38568,
        1.31796,
        1.30376,
        1.38622,
        1.33506,
        1.24133,
        1.35273,
        1.28,
        1.30906,
        1.32893,
        1.31397,
        1.31491,
        1.27856,
        1.31908,
        1.26031,
        1.29987,
        1.33762,
        1.33471,
        1.34323,
        1.30309,
        1.33884,
        1.35815,
        1.29142,
        1.35605,
        1.34467,
        1.32919,
        1.32295,
        1.29165,
        1.29474,
        1.32937,
        1.33783,
        1.23755,
        1.28736,
        1.31594,
        1.36599,
        1.35046,
        1.29653,
        1.38338,
        1.39553,
        1.37668,
        1.37803,
        1.38754,
        1.33241,
        1.32269,
        1.25113,
        1.28726,
        1.35366,
        1.3776,
        1.295,
        1.35252,
        1.32749,
        1.38025,
        1.37376,
        1.3791,
        1.3826,
        1.29648,
        1.24932,
        1.24416,
        1.31982,
        1.32726,
        1.22903,
        1.30648,
        1.29206,
        1.31853,
        1.33819,
        1.32598,
        1.32813,
        1.31137,
        1.31017,
        1.37843,
        1.31922,
        1.30054,
        1.3153,
        1.31493,
        1.2585,
        1.23356,
        1.25783,
        1.31805,
        1.32035,
        1.31443,
        1.28589,
        1.24206,
        1.34106,
        1.41246,
        1.37279,
        1.33968,
        1.3315,
        1.33445,
        1.42312,
        1.41506,
        1.32349,
        1.29306,
        1.27702,
        1.26608,
        1.21213,
        1.29564,
        1.32139,
        1.36512,
        1.40455,
        1.39213,
        1.33227,
        1.2868,
        1.31613,
        1.32187,
        1.30985,
        1.34952,
        1.29489,
        1.33155,
        1.31696,
        1.34588,
        1.33667,
        1.24168,
        1.266,
        1.29963,
        1.33848,
        1.35157,
        1.25406,
        1.24964,
        1.3523,
        1.30656,
        1.26057,
        1.26657,
        1.3023,
        1.38513,
        1.41718,
        1.35516,
        1.35835,
        1.28839,
        1.29825,
        1.36383,
        1.39026,
        1.36335,
        1.3202,
        1.26874,
        1.24379,
        1.28495,
        1.30885,
        1.27353,
        1.34107,
        1.32272,
        1.38477,
        1.44423,
        1.36598,
        1.3393,
        1.44651,
        1.41683,
        1.21662,
        1.27864,
        1.27601,
        1.3039,
        1.31074,
        1.29291,
        1.33602,
        1.38509,
        1.39485,
        1.30078,
        1.27092,
        1.3215,
        1.38422,
        1.42107,
        1.38286,
        1.36331,
        1.32552,
        1.31804,
        1.35039,
        1.36112,
        1.30447,
        1.26232,
        1.27727,
        1.30226,
        1.31578,
        1.31383,
        1.34176,
        1.31849,
        1.29507,
        1.34234,
        1.40813,
        1.3567,
        1.39707,
        1.3505,
        1.27759,
        1.25874,
        1.29588,
        1.23971,
        1.31598,
        1.297,
        1.30695,
        1.26324,
        1.24134,
        1.31904,
        1.33311,
        1.40544,
        1.31554,
        1.32586,
        1.35866,
        1.40518,
        1.31425,
        1.36169,
        1.35066,
        1.35527,
        1.33541,
        1.32432,
        1.32956,
        1.36122,
        1.34035,
        1.31814,
        1.28402,
        1.26748,
        1.3633,
        1.38161,
        1.31424,
        1.27305,
        1.28803,
        1.30857,
        1.24463,
        1.26853,
        1.29606,
        1.34006,
        1.30091,
        1.22371,
        1.21988,
        1.2445,
        1.29975,
        1.33232,
        1.35794,
        1.31246,
        1.32274,
        1.33826,
        1.24249,
        1.29833,
        1.35987,
        1.36509,
        1.29287,
        1.29165,
        1.31208,
        1.33814,
        1.36428,
        1.399,
        1.42426,
        1.41542,
        1.31512,
        1.41278,
        1.33596,
        1.36407,
        1.36341,
        1.34543,
        1.3263,
        1.32334,
        1.34525,
        1.37805,
        1.41239,
        1.33204,
        1.35243,
        1.33248,
        1.25371,
        1.30866,
        1.3462,
        1.27536,
        1.23522,
        1.32191,
        1.33643,
        1.41268,
        1.29715,
        1.28777,
        1.37244,
        1.39933,
        1.43645,
        1.47558,
        1.4576,
        1.35606,
        1.28865,
        1.38866,
        1.34727,
        1.35098,
        1.30814,
        1.38468,
        1.42809,
        1.34235,
        1.31333,
        1.32304,
        1.32661,
        1.35056,
        1.35427,
        1.33712,
        1.40494,
        1.43688,
        1.39847,
        1.31244,
        1.32669,
        1.41236,
        1.41928,
        1.38534,
        1.33082,
        1.3165,
        1.25772,
        1.31212,
        1.39663,
        1.38853,
        1.40444,
        1.36616,
        1.41601,
        1.36714,
        1.39203,
        1.40533,
        1.38476,
        1.37808,
        1.34009,
        1.35076,
        1.38836,
        1.29904,
        1.23532,
        1.3184,
        1.36723,
        1.40352,
        1.30422,
        1.3531,
        1.41776,
        1.41683,
        1.41446,
        1.38574,
        1.34369,
        1.36558,
        1.37754,
        1.49483,
        1.57726,
        1.49829,
        1.37618,
        1.37515,
        1.38923,
        1.35633,
        1.32342,
        1.32304,
        1.33536,
        1.28642,
        1.31964,
        1.36081,
        1.42932,
        1.36196,
        1.38515,
        1.3192,
        1.36444,
        1.4749,
        1.43101,
        1.3462,
        1.43139,
        1.44926,
        1.33464,
        1.31358,
        1.38636,
        1.25547,
        1.44192,
        1.40159,
        1.45159,
        1.40623,
        1.49295,
        1.49747,
        1.38503,
        1.08145,
        1.51364,
        1.39389,
        1.57357,
        1.36501,
        1.508,
        1.53271,
        1.51048,
        1.41809,
        1.51684,
        1.44277,
        1.31498,
        1.35337,
        1.46647,
        1.56189,
        1.48365,
        1.47585,
        1.36042,
        1.23763,
        1.31012,
        1.4716,
        1.4354,
        1.30339,
        1.41896,
        1.4272,
        1.44645,
        1.30233,
        1.33022,
        1.36774,
        1.41869,
        1.4464,
        1.3937,
        1.39987,
        1.38685,
        1.34225,
        1.408,
        1.40795,
        1.42084,
        1.46245,
        1.45125,
        1.39629,
        1.47231,
        1.40129,
        1.41752,
        1.34306,
        1.35048,
        1.39992,
        1.43312,
        1.40848,
        1.38428,
        1.39367,
        1.40828,
        1.48436,
        1.47164,
        1.371,
        1.42428,
        1.31281,
        1.37967,
        1.34064,
        1.41442,
        1.36052,
        1.49422,
        1.32909,
        1.41979,
        1.4702,
        1.47825,
        1.43717,
        1.42086,
        1.39223,
        1.44385,
        1.27822,
        1.36671,
        1.44679,
        1.40465,
        1.3319,
        1.37971,
        1.38227,
        1.22518,
        1.4022,
        1.33764,
        1.38848,
        1.40659,
        1.40575,
        1.40328,
        1.47012,
        1.43174,
        1.36949,
        1.26159,
        1.37347,
        1.37198,
        1.37245,
        1.38975,
        1.46092,
        1.4355,
        1.33655,
        1.45235,
        1.47379,
        1.28518,
        1.22556,
        1.37252,
        1.36041,
        1.32288,
        1.21192,
        1.45621,
        1.29417,
        1.27552,
        1.40677,
        1.33538,
        1.40269,
        1.44064,
        1.30605,
        1.34338,
        1.31481,
        1.35934,
        1.39459,
        null,
        2.27423,
        2.60415,
        2.18041,
        1.84817,
        2.32489,
        1.85949,
        1.88176,
        1.77501,
        1.58068,
        1.64084,
        1.59457,
        1.47896,
        1.6152,
        1.7111,
        1.87949,
        1.66509,
        1.50186,
        1.62807,
        1.46882,
        1.51942,
        1.47242,
        1.34891,
        1.6767,
        1.55862,
        1.55793,
        1.5673,
        1.47208,
        1.32514,
        1.44373,
        1.44652,
        1.5573,
        1.46705,
        1.54783,
        1.54192,
        1.63255,
        1.75287,
        1.54661,
        1.50541,
        1.33693,
        1.36301,
        1.4266,
        1.51892,
        1.69982,
        1.68662,
        1.58916,
        1.79051,
        1.59978,
        1.25198,
        1.29608,
        1.59752,
        1.61722,
        1.59629,
        1.51095,
        1.6004,
        1.68354,
        1.43847,
        1.37642,
        1.31858,
        1.45299,
        1.37057,
        1.60595,
        1.71298,
        1.60789,
        1.59327,
        1.60635,
        1.90078,
        1.56946,
        1.5116,
        1.19136,
        1.41321,
        1.57504,
        1.62681,
        1.41369,
        1.50507,
        1.77041,
        1.26702,
        1.71551,
        1.90874,
        1.54898,
        1.48098,
        1.51839,
        1.57053,
        1.48368,
        1.45807,
        1.5991,
        1.42586,
        1.7532,
        1.23413,
        1.30256,
        1.90712,
        1.87839,
        1.54779,
        1.58993,
        1.46015,
        1.57159,
        1.59302,
        1.66417,
        1.38926,
        1.35935,
        1.29611,
        1.30313,
        1.30756,
        1.51789,
        1.65038,
        1.30793,
        1.79427,
        1.86572,
        1.29221,
        1.84121,
        1.47143,
        1.33434,
        1.53664,
        1.55248,
        1.37248,
        1.84725,
        1.72155,
        1.64361,
        1.62504,
        1.32608,
        1.78994,
        2.26321,
        1.92939,
        1.64053,
        1.83433,
        2.04122,
        2.08138,
        2.07592,
        1.96807,
        1.81326,
        1.61359,
        1.94517,
        1.89814,
        2.43795,
        1.73703,
        2.05062,
        null,
        1.97967,
        2.34898,
        1.88679,
        1.78815,
        1.83365,
        1.89813,
        1.82856,
        1.61805,
        1.67487,
        1.7772,
        1.69593,
        1.72692,
        2.04015,
        2.14329,
        1.64662,
        1.42942,
        1.68538,
        1.83071,
        1.6597,
        1.60764,
        1.96679,
        1.6701,
        1.65269,
        1.73233,
        1.83988,
        1.54297,
        1.48587,
        1.64611,
        1.41525,
        1.34507,
        1.65124,
        1.63531,
        1.46469,
        1.71691,
        1.64812,
        1.32779,
        1.53089,
        1.2845,
        1.40425,
        1.81918,
        1.75706,
        1.53866,
        1.59871,
        2.03747,
        1.44456,
        1.53912,
        1.7402,
        1.61927,
        1.47699,
        1.51833,
        1.62904,
        1.20001,
        1.43168,
        1.66221,
        1.50324,
        1.70421,
        1.6108,
        1.38637,
        1.61539,
        1.58084,
        1.85447,
        1.35509,
        1.73852,
        1.58576,
        1.88882,
        1.25465,
        1.22393,
        1.46967,
        1.76505,
        1.5835,
        1.8639,
        1.74635,
        1.6568,
        1.46388,
        1.45628,
        1.36902,
        1.65134,
        1.58827,
        1.71958,
        2.20334,
        2.36232,
        1.71965,
        1.90675,
        1.51144,
        1.56103,
        1.59529,
        1.4541,
        1.53817,
        1.31828,
        1.42652,
        1.57058,
        1.32876,
        1.44788,
        1.48933,
        1.20965,
        1.6098,
        1.69146,
        1.70619,
        1.73617,
        1.46256,
        1.58123,
        1.2893,
        1.44858,
        1.71006,
        1.59167,
        1.43639,
        1.6052,
        1.83246,
        1.42483,
        1.6425,
        1.90286,
        1.60431,
        1.51728,
        1.68838,
        1.53344,
        1.67785,
        1.88198,
        1.92435,
        1.87105,
        2.01743,
        1.75986,
        1.72038,
        1.67272,
        1.85648,
        1.6876,
        1.74654,
        1.53005,
        1.7588,
        1.60604,
        1.71796,
        1.602,
        1.53007,
        1.69683,
        1.75364,
        1.61191,
        1.65535,
        1.73113,
        1.43403,
        1.4972,
        1.59326,
        1.55026,
        1.44248,
        1.51786,
        1.63963,
        1.78423,
        1.92436,
        1.69935,
        1.66746,
        1.76471,
        1.88963,
        1.76565,
        1.76823,
        1.8572,
        1.85429,
        1.75691,
        1.39688,
        1.54995,
        1.61581,
        1.7868,
        1.66302,
        1.56707,
        1.49876,
        1.39369,
        1.39934,
        1.57573,
        1.7739,
        1.6908,
        1.93595,
        1.54795,
        1.66594,
        1.69665,
        1.72659,
        1.66271,
        1.54488,
        1.44429,
        1.35574,
        1.72744,
        2.09943,
        1.91324,
        1.63979,
        1.41707,
        1.50665,
        1.41406,
        1.46546,
        1.79535,
        1.38427,
        1.67284,
        2.08686,
        1.72539,
        1.72355,
        1.29334,
        1.55086,
        1.68884,
        1.49308,
        1.46677,
        1.72766,
        1.59528,
        1.46535,
        1.51623,
        1.65515,
        1.52616,
        1.70861,
        1.7889,
        1.67193,
        1.78863,
        1.77006,
        2.12141,
        1.66863,
        1.53377,
        1.6944,
        1.75258,
        1.67561,
        1.58772,
        1.75604,
        1.67589,
        1.61088,
        1.58429,
        1.62234,
        1.69882,
        1.70718,
        1.75196,
        1.74463,
        1.58045,
        1.51173,
        1.45706,
        1.56076,
        1.64226,
        1.50491,
        1.51697,
        1.57186,
        1.69901,
        1.56161,
        1.4635,
        1.56465,
        1.51076,
        1.4875,
        1.56394,
        1.45687,
        1.5277,
        1.71268,
        1.87139,
        1.8264,
        1.65364,
        1.58398,
        1.52963,
        1.69495,
        1.73106,
        1.72026,
        1.45148,
        1.25408,
        1.56142,
        1.48804,
        1.65542,
        1.72906,
        1.43067,
        1.64955,
        1.77729,
        1.7386,
        1.76674,
        1.53027,
        1.52059,
        1.53238,
        1.64958,
        1.58119,
        1.70762,
        1.61969,
        1.45942,
        1.49728,
        1.78427,
        1.80112,
        1.70807,
        1.64175,
        1.75136,
        1.66132,
        1.65138,
        1.66047,
        1.65806,
        1.67492,
        1.62925,
        1.64614,
        1.59195,
        1.44768,
        1.63849,
        1.6523,
        1.70743,
        1.71979,
        1.70306,
        1.73291,
        1.83424,
        1.66421,
        1.60954,
        1.78978,
        1.72327,
        1.5997,
        1.656,
        1.69185,
        1.59562,
        1.61161,
        1.69046,
        1.4906,
        1.42109,
        1.62427,
        1.56946,
        1.41686,
        1.52789,
        1.67354,
        1.67822,
        1.67166,
        1.70264,
        1.75395,
        1.59562,
        1.63265,
        1.45299,
        1.73781,
        1.6906,
        1.39361,
        1.49228,
        1.68326,
        1.70723,
        1.64606,
        1.63658,
        1.61576,
        1.60908,
        1.85258,
        1.70467,
        1.58072,
        1.66702,
        1.50744,
        1.48331,
        1.49224,
        1.52217,
        1.48212,
        1.60984,
        1.61718,
        1.57428,
        1.61123,
        1.63221,
        1.63365,
        1.62071,
        1.65911,
        1.55394,
        1.6669,
        1.48861,
        1.77991,
        1.70144,
        1.61872,
        1.58432,
        1.58937,
        1.49467,
        1.66287,
        1.61618,
        1.6304,
        1.59168,
        1.65,
        1.77544,
        1.69507,
        1.65359,
        1.48219,
        1.52705,
        1.56825,
        1.47711,
        1.39556,
        1.66313,
        1.59765,
        1.7055,
        1.54053,
        1.57853,
        1.69355,
        1.59121,
        1.41007,
        1.52509,
        1.74705,
        1.66082,
        1.6521,
        1.63845,
        1.55904,
        1.58735,
        1.64022,
        1.60232,
        1.88095,
        1.69867,
        1.52302,
        1.5667,
        1.64092,
        1.64716,
        1.60411,
        1.65151,
        1.55798,
        1.61953,
        1.4604,
        1.45908,
        1.55676,
        1.50851,
        1.49784,
        1.42619,
        1.56283,
        1.65524,
        1.35674,
        1.51647,
        1.60421,
        1.50832,
        1.56413,
        1.57161,
        1.52422,
        1.45573,
        1.55181,
        1.74588,
        1.78514,
        1.55361,
        1.47866,
        1.73556,
        1.57973,
        1.56383,
        1.80507,
        1.63923,
        1.99586,
        1.61377,
        1.40471,
        1.44402,
        1.61931,
        1.74179,
        1.50175,
        1.57438,
        1.4527,
        1.47717,
        1.55193,
        1.55716,
        1.60783,
        1.83603,
        1.55465,
        1.64718,
        1.42556,
        1.5546,
        1.69972,
        1.44367,
        1.68079,
        1.66409,
        1.67178,
        1.78223,
        1.47705,
        1.61866,
        1.72101,
        1.50833,
        1.52881,
        1.62937,
        1.732,
        1.68045,
        1.62994,
        1.74706,
        1.63022,
        1.68735,
        1.68982,
        1.75043,
        1.54733,
        1.51169,
        1.82579,
        1.50739,
        1.39135,
        1.60282,
        1.55405,
        1.62176,
        1.70006,
        1.53941,
        1.42444,
        1.45785,
        1.47094,
        1.5252,
        1.46059,
        1.60968,
        1.62499,
        1.56241,
        1.62416,
        1.64589,
        1.58701,
        1.40954,
        1.56034,
        1.7306,
        1.86642,
        1.6896,
        1.71874,
        1.66685,
        1.67664,
        1.65531,
        1.4448,
        1.48212,
        1.6953,
        1.46215,
        1.59951,
        1.68179,
        1.6575,
        1.79605,
        1.66275,
        1.45127,
        1.67048,
        1.92983,
        1.40719,
        1.46303,
        1.60776,
        1.78951,
        1.60643,
        1.39909,
        1.51904,
        1.79195,
        1.86573,
        1.62951,
        1.24861,
        1.48975,
        1.94436,
        1.57406,
        1.39386,
        1.73417,
        1.76233,
        1.60706,
        1.50267,
        1.30807,
        1.3952,
        1.61809,
        1.32951,
        1.71593,
        1.68179,
        1.65201,
        1.66043,
        1.75491,
        1.41091,
        1.40767,
        1.31242,
        1.39519,
        1.7853,
        1.53795,
        1.6624,
        1.67548,
        1.28155,
        1.23015,
        1.52629,
        1.66783,
        1.69305,
        1.6861,
        1.60879,
        1.68739,
        1.89827,
        1.64507,
        1.42444,
        1.56262,
        1.41201,
        1.54063,
        1.42638,
        1.53817,
        1.48133,
        1.45578,
        1.17507,
        1.535,
        1.30109,
        1.47071,
        1.50458,
        1.44642,
        1.47575,
        1.37888,
        1.39977,
        1.47226,
        1.53333,
        1.65126,
        1.77129,
        1.36047,
        1.31366,
        1.25464,
        1.27936,
        1.20252,
        1.35217,
        1.82294,
        2.0091,
        1.64069,
        1.81275,
        1.72083,
        2.01453,
        2.03099,
        1.71832,
        1.55049,
        1.56554,
        1.81013,
        1.84361,
        1.79745,
        1.71433,
        1.63274,
        1.67355,
        1.60491,
        1.52938,
        1.72638
    ],
    "flux_error": [
        0.222272,
        0.196037,
        0.175687,
        0.166032,
        0.156423,
        0.143706,
        0.132033,
        0.123273,
        0.116068,
        0.112332,
        0.109599,
        0.106771,
        0.101975,
        0.0984339,
        0.0965536,
        0.0956105,
        0.0945638,
        0.0932372,
        0.0930779,
        0.0927622,
        0.0928653,
        0.0933217,
        0.0941581,
        0.0967679,
        0.0992275,
        0.104341,
        0.113067,
        0.122117,
        0.131403,
        0.146357,
        0.172948,
        0.214677,
        0.282124,
        0.257774,
        0.210145,
        0.183602,
        0.171096,
        0.162994,
        0.159735,
        0.163413,
        0.167874,
        0.17531,
        0.178019,
        0.17826,
        0.181256,
        0.191306,
        0.207733,
        0.229667,
        0.258578,
        0.297093,
        0.222,
        0.197468,
        0.176621,
        0.168602,
        0.161256,
        0.146775,
        0.13323,
        0.130156,
        0.130168,
        0.130011,
        0.130798,
        0.131372,
        0.125779,
        0.122032,
        0.115812,
        0.111331,
        0.113516,
        0.117456,
        0.125354,
        0.138755,
        0.158622,
        0.183121,
        0.208684,
        0.26082,
        0.222784,
        0.176356,
        0.148239,
        0.131942,
        0.119385,
        0.109528,
        0.105762,
        0.103616,
        0.101512,
        0.102806,
        0.105255,
        0.106313,
        0.108982,
        0.114448,
        0.124134,
        0.14002,
        0.158013,
        0.176064,
        0.187551,
        0.182442,
        0.172587,
        0.163011,
        0.163071,
        0.173248,
        0.181207,
        0.191664,
        0.210697,
        0.230368,
        0.265381,
        0.229493,
        0.201888,
        0.18295,
        0.169729,
        0.161668,
        0.153912,
        0.14974,
        0.148569,
        0.153495,
        0.161154,
        0.173875,
        0.191361,
        0.209163,
        0.213172,
        0.194377,
        0.16286,
        0.136058,
        0.122062,
        0.111054,
        0.100371,
        0.0931433,
        0.0889902,
        0.0872448,
        0.0860292,
        0.0835829,
        0.0815109,
        0.0801875,
        0.079098,
        0.0775649,
        0.0769473,
        0.075768,
        0.0737035,
        0.0733864,
        0.0759506,
        0.0760171,
        0.0740438,
        0.074509,
        0.0752289,
        0.0766376,
        0.0791037,
        0.0816437,
        0.0837853,
        0.0867801,
        0.0921476,
        0.0972158,
        0.103638,
        0.114337,
        0.125003,
        0.139509,
        0.16424,
        0.19494,
        0.22659,
        0.262077,
        0.290006,
        0.222495,
        0.189558,
        0.164947,
        0.146266,
        0.129034,
        0.114253,
        0.105209,
        0.097804,
        0.0922997,
        0.0887738,
        0.0859016,
        0.0832165,
        0.0813193,
        0.0795289,
        0.077071,
        0.0755079,
        0.0764944,
        0.0763728,
        0.0697719,
        0.0663415,
        0.0650822,
        0.0641917,
        0.0636378,
        0.0626064,
        0.0620039,
        0.0618502,
        0.0618259,
        0.062266,
        0.0629348,
        0.0628465,
        0.0631323,
        0.0645915,
        0.065813,
        0.0671286,
        0.0694199,
        0.0726855,
        0.0765652,
        0.0819434,
        0.0891817,
        0.0949961,
        0.0983848,
        0.0991793,
        0.098094,
        0.0965002,
        0.0976597,
        0.0990003,
        0.102622,
        0.10621,
        0.109889,
        0.117945,
        0.12825,
        0.13851,
        0.150926,
        0.16825,
        0.191619,
        0.194116,
        0.177442,
        0.15782,
        0.138967,
        0.126532,
        0.119373,
        0.115414,
        0.109336,
        0.101236,
        0.0952991,
        0.0915116,
        0.0880258,
        0.08472,
        0.0807855,
        0.0793534,
        0.0779876,
        0.0780969,
        0.0789558,
        0.0809459,
        0.0839039,
        0.0891668,
        0.0942892,
        0.0937463,
        0.0890344,
        0.083444,
        0.0809768,
        0.079568,
        0.0721257,
        0.0675877,
        0.0674854,
        0.0670918,
        0.0675298,
        0.069547,
        0.0701921,
        0.0712043,
        0.0725647,
        0.0720788,
        0.0706531,
        0.0699774,
        0.0696018,
        0.0700151,
        0.0717434,
        0.0718101,
        0.0725306,
        0.0748236,
        0.0767105,
        0.0795453,
        0.0846618,
        0.0883446,
        0.0931989,
        0.0987659,
        0.104194,
        0.108429,
        0.11329,
        0.118995,
        0.127877,
        0.135302,
        0.146434,
        0.167688,
        0.184036,
        0.208579,
        0.246746,
        0.196809,
        0.171353,
        0.149799,
        0.134043,
        0.122679,
        0.112612,
        0.110206,
        0.106796,
        0.0941197,
        0.0867971,
        0.0820327,
        0.0786781,
        0.0743796,
        0.0716842,
        0.0691079,
        0.0678386,
        0.0664415,
        0.0656878,
        0.0646205,
        0.0628605,
        0.0625524,
        0.0667675,
        0.0690041,
        0.0702279,
        0.0718423,
        0.0699951,
        0.0677396,
        0.0641749,
        0.0635038,
        0.0636846,
        0.063674,
        0.0637843,
        0.0642361,
        0.0645374,
        0.0666991,
        0.0690535,
        0.0704063,
        0.0718326,
        0.073289,
        0.0759417,
        0.0792337,
        0.0809152,
        0.0831274,
        0.0854679,
        0.0886068,
        0.0937436,
        0.0973132,
        0.100061,
        0.100497,
        0.105996,
        0.112653,
        0.11281,
        0.117147,
        0.124113,
        0.133294,
        0.143532,
        0.164911,
        0.192051,
        0.216863,
        0.238869,
        0.207971,
        0.187811,
        0.163124,
        0.146143,
        0.131159,
        0.117202,
        0.106525,
        0.099476,
        0.0920502,
        0.0869184,
        0.081842,
        0.0769758,
        0.0808744,
        0.0842213,
        0.0733106,
        0.0648524,
        0.0625057,
        0.0602796,
        0.058702,
        0.0570377,
        0.0561728,
        0.054745,
        0.0539717,
        0.0534444,
        0.0530834,
        0.052221,
        0.0521803,
        0.0519609,
        0.051619,
        0.0517728,
        0.0521072,
        0.0518648,
        0.0527613,
        0.0536697,
        0.0539836,
        0.0545414,
        0.0556959,
        0.0570377,
        0.0575905,
        0.0587365,
        0.0596635,
        0.0604262,
        0.0603917,
        0.0613089,
        0.0624982,
        0.0651687,
        0.0680568,
        0.0713721,
        0.0749215,
        0.0791518,
        0.0832713,
        0.0892178,
        0.0941846,
        0.101749,
        0.11104,
        0.123051,
        0.135572,
        0.153064,
        0.192313,
        0.215666,
        0.1971,
        0.172444,
        0.153529,
        0.140103,
        0.125244,
        0.111704,
        0.104254,
        0.0980505,
        0.0914235,
        0.0855121,
        0.0810524,
        0.0825241,
        0.0819787,
        0.0740418,
        0.0685759,
        0.0672269,
        0.0643484,
        0.0611663,
        0.0596632,
        0.0605153,
        0.0594069,
        0.0577941,
        0.0584892,
        0.058781,
        0.0591509,
        0.0591442,
        0.0605291,
        0.0615402,
        0.0615535,
        0.0625016,
        0.0632794,
        0.0613065,
        0.0585738,
        0.0584788,
        0.058295,
        0.0590344,
        0.0608308,
        0.0642586,
        0.0669755,
        0.0684809,
        0.0701394,
        0.0711689,
        0.0722977,
        0.0737359,
        0.0767984,
        0.0841593,
        0.0954129,
        0.109536,
        0.123292,
        0.139572,
        0.146915,
        0.145523,
        0.133816,
        0.122381,
        0.114151,
        0.10614,
        0.104647,
        0.103806,
        0.107232,
        0.112669,
        0.117829,
        0.125229,
        0.136086,
        0.144864,
        0.158954,
        0.180048,
        0.200164,
        0.217375,
        0.222644,
        0.197855,
        0.179212,
        0.167022,
        0.152862,
        0.142109,
        0.131174,
        0.12789,
        0.126673,
        0.124588,
        0.124749,
        0.134603,
        0.152065,
        0.177859,
        0.199502,
        0.212233,
        0.205527,
        0.177498,
        0.14008,
        0.114133,
        0.097377,
        0.0951014,
        0.0961763,
        0.0845173,
        0.0761011,
        0.0745886,
        0.0757428,
        0.0760191,
        0.0749266,
        0.0767914,
        0.077686,
        0.0778063,
        0.0813588,
        0.0862711,
        0.0938761,
        0.104239,
        0.123971,
        0.147323,
        0.167739,
        0.189123,
        0.189811,
        0.174968,
        0.143765,
        0.115053,
        0.100484,
        0.08832,
        0.0823221,
        0.0804688,
        0.0747041,
        0.0689762,
        0.0675639,
        0.0671162,
        0.0658562,
        0.0669701,
        0.0689115,
        0.0700418,
        0.0721228,
        0.075229,
        0.0786325,
        0.0827326,
        0.091831,
        0.10531,
        0.110009,
        0.111185,
        0.115861,
        0.127035,
        0.137948,
        0.151279,
        0.173277,
        0.202603,
        0.238367,
        0.273222,
        0.198239,
        0.167244,
        0.148265,
        0.134958,
        0.133432,
        0.116581,
        0.100866,
        0.0965862,
        0.0891026,
        0.0833924,
        0.0826482,
        0.0805883,
        0.0791528,
        0.0770546,
        0.0763253,
        0.0760868,
        0.0753251,
        0.0756964,
        0.0751549,
        0.0770694,
        0.0796914,
        0.0832812,
        0.090211,
        0.100314,
        0.114414,
        0.135623,
        0.172623,
        0.217585,
        0.136194,
        0.105073,
        0.0893719,
        0.0778843,
        0.077317,
        0.0782255,
        0.0725559,
        0.0671378,
        0.0660064,
        0.0655709,
        0.0660888,
        0.0681054,
        0.0693944,
        0.0686342,
        0.0697918,
        0.0702612,
        0.0690854,
        0.0679433,
        0.0683582,
        0.0701668,
        0.0718799,
        0.0738143,
        0.0778434,
        0.0819918,
        0.0876272,
        0.0918779,
        0.0999928,
        0.110791,
        0.112972,
        0.115458,
        0.12746,
        0.144639,
        0.165463,
        0.199035,
        0.232809,
        0.247024,
        0.302153,
        0.262917,
        0.200643,
        0.170703,
        0.153022,
        0.135596,
        0.128628,
        0.119898,
        0.116427,
        0.112966,
        0.111802,
        0.11235,
        0.115156,
        0.125263,
        0.135425,
        0.15466,
        0.174839,
        0.210333,
        0.209137,
        0.159702,
        0.127263,
        0.105887,
        0.0904284,
        0.0801555,
        0.0726783,
        0.0670323,
        0.0632892,
        0.0611042,
        0.0582253,
        0.0563046,
        0.0552255,
        0.054412,
        0.0536336,
        0.0538064,
        0.0542619,
        0.0546691,
        0.0560241,
        0.057952,
        0.0595319,
        0.0608055,
        0.0597818,
        0.0582552,
        0.0567981,
        0.0546686,
        0.05357,
        0.0534456,
        0.0520421,
        0.0511347,
        0.0519342,
        0.0526638,
        0.0549088,
        0.0586189,
        0.058132,
        0.0566485,
        0.0586105,
        0.0612783,
        0.0634268,
        0.0661232,
        0.0697369,
        0.0727995,
        0.0762872,
        0.0795854,
        0.082541,
        0.0879094,
        0.0924914,
        0.0991883,
        0.10814,
        0.120153,
        0.136703,
        0.162376,
        0.183496,
        0.211784,
        0.206571,
        0.160474,
        0.135071,
        0.117723,
        0.107093,
        0.0990869,
        0.0870279,
        0.0789972,
        0.0728298,
        0.0689934,
        0.0647629,
        0.0622716,
        0.0607754,
        0.0604365,
        0.0586506,
        0.0560712,
        0.0546583,
        0.0540555,
        0.0542583,
        0.0546037,
        0.0552211,
        0.0563271,
        0.0561941,
        0.0558402,
        0.0568995,
        0.0585038,
        0.0594053,
        0.0605414,
        0.064281,
        0.0703382,
        0.079216,
        0.0935646,
        0.114548,
        0.145133,
        0.182459,
        0.206555,
        0.195403,
        0.157155,
        0.121242,
        0.100543,
        0.0881921,
        0.0838521,
        0.0809808,
        0.0775619,
        0.0755737,
        0.0673693,
        0.0627304,
        0.0621633,
        0.0621595,
        0.0630335,
        0.0657224,
        0.0679715,
        0.0680369,
        0.0707074,
        0.0779398,
        0.079848,
        0.0809528,
        0.0859011,
        0.0916379,
        0.0990217,
        0.105027,
        0.1148,
        0.126554,
        0.146142,
        0.174342,
        0.20338,
        0.235058,
        0.272158,
        0.213529,
        0.169345,
        0.145937,
        0.126477,
        0.110538,
        0.0996325,
        0.0920468,
        0.0858394,
        0.0798025,
        0.0745912,
        0.0695869,
        0.0668263,
        0.064964,
        0.0635944,
        0.0622344,
        0.0602224,
        0.0592919,
        0.0589051,
        0.0579641,
        0.0575563,
        0.0577533,
        0.0555453,
        0.0534262,
        0.0516804,
        0.0500869,
        0.0490886,
        0.0510494,
        0.050802,
        0.0473277,
        0.0443723,
        0.0434977,
        0.0430239,
        0.0422427,
        0.0421536,
        0.0418932,
        0.0414258,
        0.0416219,
        0.0413207,
        0.0413086,
        0.0415847,
        0.0415008,
        0.0419222,
        0.0422738,
        0.0428326,
        0.0434706,
        0.0438688,
        0.0438006,
        0.0435888,
        0.0440034,
        0.0444914,
        0.0447008,
        0.0454458,
        0.046065,
        0.0470408,
        0.0478088,
        0.0483932,
        0.0493621,
        0.0510826,
        0.0527433,
        0.0544143,
        0.0564576,
        0.058392,
        0.0610446,
        0.0633746,
        0.0673273,
        0.070795,
        0.0752257,
        0.0809999,
        0.0876337,
        0.0946313,
        0.102139,
        0.113811,
        0.123906,
        0.142578,
        0.163571,
        0.200023,
        0.23932,
        0.199297,
        0.169737,
        0.149146,
        0.134882,
        0.123691,
        0.114851,
        0.106042,
        0.0985523,
        0.0920312,
        0.0926442,
        0.0930989,
        0.0815915,
        0.0742066,
        0.0710325,
        0.0703614,
        0.0663816,
        0.0601112,
        0.0570966,
        0.0553542,
        0.0528854,
        0.051742,
        0.0511808,
        0.0489614,
        0.0479864,
        0.0468833,
        0.0456621,
        0.0452373,
        0.0444288,
        0.0440647,
        0.0438524,
        0.0430023,
        0.0426855,
        0.0426764,
        0.0419096,
        0.0413337,
        0.0418354,
        0.0410126,
        0.040668,
        0.040377,
        0.0403089,
        0.0413372,
        0.0418589,
        0.0413596,
        0.0412462,
        0.040383,
        0.041008,
        0.0413555,
        0.0415006,
        0.0447048,
        0.0458309,
        0.0433035,
        0.042351,
        0.0436945,
        0.0446772,
        0.04587,
        0.0484689,
        0.0509561,
        0.0500817,
        0.0498066,
        0.0508647,
        0.052075,
        0.054383,
        0.0557348,
        0.0560009,
        0.0574041,
        0.0591113,
        0.0616144,
        0.0651039,
        0.0683944,
        0.0714102,
        0.0754775,
        0.0804535,
        0.0877306,
        0.0956726,
        0.107277,
        0.118231,
        0.131791,
        0.15199,
        0.173129,
        0.211434,
        0.217612,
        0.186435,
        0.161796,
        0.139795,
        0.124717,
        0.11422,
        0.102167,
        0.0937331,
        0.0861807,
        0.0816518,
        0.0767501,
        0.0712743,
        0.068911,
        0.0653585,
        0.0618591,
        0.0607097,
        0.0591784,
        0.0578472,
        0.0579764,
        0.057548,
        0.055923,
        0.0554572,
        0.0565361,
        0.0572151,
        0.0565751,
        0.0583238,
        0.0612559,
        0.0633982,
        0.0659664,
        0.0709043,
        0.0795415,
        0.0904042,
        0.103529,
        0.120466,
        0.144119,
        0.15227,
        0.146415,
        0.135995,
        0.117368,
        0.0993502,
        0.0846866,
        0.0748655,
        0.0682574,
        0.0633603,
        0.0591982,
        0.0559298,
        0.0546003,
        0.0524421,
        0.0516899,
        0.0510484,
        0.0506513,
        0.0508402,
        0.0518208,
        0.0511129,
        0.0512428,
        0.0516236,
        0.0522003,
        0.057182,
        0.0603898,
        0.0576399,
        0.0562773,
        0.0582538,
        0.0616901,
        0.0649671,
        0.0676353,
        0.0713868,
        0.0765322,
        0.0819726,
        0.0915118,
        0.103392,
        0.120676,
        0.142422,
        0.176512,
        0.258959,
        0.208853,
        0.169044,
        0.148726,
        0.129913,
        0.113714,
        0.103332,
        0.0957468,
        0.0890149,
        0.082581,
        0.0779425,
        0.0753608,
        0.0711202,
        0.0665734,
        0.0631656,
        0.0609355,
        0.0590869,
        0.0572982,
        0.0555154,
        0.0538249,
        0.0521408,
        0.0504147,
        0.0486395,
        0.0481255,
        0.0480101,
        0.0471046,
        0.0461295,
        0.0458158,
        0.0455335,
        0.045074,
        0.0444123,
        0.044356,
        0.0441702,
        0.043456,
        0.0435598,
        0.0452117,
        0.0478064,
        0.0455825,
        0.0437484,
        0.043927,
        0.0439335,
        0.043863,
        0.0441661,
        0.0443076,
        0.0451747,
        0.0455664,
        0.0464742,
        0.0474024,
        0.0489857,
        0.0498534,
        0.0512176,
        0.0522643,
        0.0541568,
        0.0566281,
        0.0598027,
        0.0609407,
        0.0616346,
        0.0625127,
        0.0656369,
        0.0689198,
        0.0724945,
        0.0795946,
        0.0884171,
        0.10032,
        0.117614,
        0.144843,
        0.181435,
        0.263235,
        0.205466,
        0.170005,
        0.154276,
        0.144015,
        0.137281,
        0.132114,
        0.130264,
        0.134973,
        0.141088,
        0.147284,
        0.166092,
        0.190395,
        0.179964,
        0.160282,
        0.13856,
        0.12049,
        0.108895,
        0.0991099,
        0.0909924,
        0.0850974,
        0.080101,
        0.0757189,
        0.0710224,
        0.0671069,
        0.0647894,
        0.0620816,
        0.0604309,
        0.0586812,
        0.0569609,
        0.0556932,
        0.0560789,
        0.0554817,
        0.055243,
        0.0556308,
        0.0541814,
        0.0536625,
        0.0525296,
        0.0514723,
        0.0509296,
        0.0509586,
        0.0510361,
        0.0507244,
        0.0510109,
        0.0515692,
        0.0514101,
        0.0512557,
        0.0496578,
        0.0485329,
        0.0486717,
        0.048791,
        0.0489225,
        0.0489335,
        0.0494374,
        0.0497807,
        0.0513858,
        0.0532834,
        0.0545941,
        0.0566784,
        0.0590356,
        0.062602,
        0.0672454,
        0.0744141,
        0.0831987,
        0.0947784,
        0.110987,
        0.131229,
        0.161962,
        0.206344,
        0.155835,
        0.127836,
        0.110761,
        0.0979424,
        0.0883013,
        0.081402,
        0.0766826,
        0.0737583,
        0.072144,
        0.0705248,
        0.070365,
        0.0709122,
        0.0715863,
        0.0716369,
        0.0744563,
        0.0755599,
        0.0793126,
        0.0843757,
        0.0889637,
        0.0963882,
        0.105907,
        0.116351,
        0.127504,
        0.148628,
        0.168508,
        0.197492,
        0.166617,
        0.142176,
        0.124043,
        0.115235,
        0.106231,
        0.0978529,
        0.0929643,
        0.0888161,
        0.08393,
        0.07994,
        0.0769493,
        0.0719166,
        0.0665945,
        0.0647121,
        0.0609678,
        0.0580838,
        0.056191,
        0.0539289,
        0.0528112,
        0.0517785,
        0.0506541,
        0.0504375,
        0.0494602,
        0.0486729,
        0.0488672,
        0.0485604,
        0.0483154,
        0.0486786,
        0.0494481,
        0.0495837,
        0.0503975,
        0.0516818,
        0.0521604,
        0.0533333,
        0.0558104,
        0.0586097,
        0.0619685,
        0.0658967,
        0.0700649,
        0.0764234,
        0.086646,
        0.100116,
        0.116621,
        0.141009,
        0.192746,
        0.214032,
        0.175528,
        0.149334,
        0.132063,
        0.106684,
        0.0893991,
        0.0805241,
        0.0745337,
        0.068832,
        0.0657917,
        0.0636102,
        0.0622328,
        0.0612914,
        0.0609821,
        0.0600094,
        0.0592227,
        0.0590087,
        0.0586096,
        0.0573713,
        0.0579021,
        0.0586183,
        0.0598788,
        0.0615818,
        0.0635168,
        0.0662236,
        0.069172,
        0.0720046,
        0.0753782,
        0.0777342,
        0.0809125,
        0.0825697,
        0.0866516,
        0.091422,
        0.0970227,
        0.105411,
        0.112498,
        0.127869,
        0.148265,
        0.170895,
        0.201375,
        0.236222,
        0.300531,
        0.232009,
        0.192921,
        0.176254,
        0.148983,
        0.132571,
        0.122027,
        0.10764,
        0.102824,
        0.0954623,
        0.091551,
        0.0877992,
        0.0846832,
        0.0828273,
        0.0825619,
        0.0809628,
        0.0792007,
        0.075549,
        0.0729255,
        0.0686487,
        0.0661621,
        0.0658538,
        0.0681723,
        0.0723481,
        0.0681002,
        0.0666021,
        0.0672383,
        0.0687894,
        0.073469,
        0.0765961,
        0.0832104,
        0.0898713,
        0.102159,
        0.117667,
        0.138198,
        0.232417,
        0.174229,
        0.141849,
        0.118256,
        0.0998572,
        0.0885673,
        0.0805067,
        0.0744723,
        0.0696827,
        0.065183,
        0.0627345,
        0.0605341,
        0.0589573,
        0.0577118,
        0.0561656,
        0.0554096,
        0.0546557,
        0.0542376,
        0.0533232,
        0.0539153,
        0.0535562,
        0.0533523,
        0.0542902,
        0.0545842,
        0.0555298,
        0.0562607,
        0.0573363,
        0.0585849,
        0.0603184,
        0.0608448,
        0.0616032,
        0.0603233,
        0.0602285,
        0.0601048,
        0.060889,
        0.0621339,
        0.0631612,
        0.0650308,
        0.0686333,
        0.0708528,
        0.0724056,
        0.0766724,
        0.0799074,
        null,
        0.120922,
        0.149273,
        0.186287,
        0.193313,
        0.166977,
        0.150796,
        0.139655,
        0.136563,
        0.139979,
        0.150708,
        0.171931,
        0.208323,
        0.249281,
        0.293712,
        0.218857,
        0.150897,
        0.114216,
        0.0926006,
        0.0778788,
        0.0677533,
        0.0599329,
        0.0535689,
        0.0494796,
        0.0461812,
        0.043878,
        0.0425708,
        0.0413875,
        0.0399713,
        0.0390114,
        0.0381849,
        0.0377927,
        0.0376202,
        0.0377601,
        0.038684,
        0.0398617,
        0.0414536,
        0.0431722,
        0.0436964,
        0.0433399,
        0.0417582,
        0.0395836,
        0.0374102,
        0.0361672,
        0.0354241,
        0.0344886,
        0.0340879,
        0.0339193,
        0.0337703,
        0.0335317,
        0.0335116,
        0.0334325,
        0.033344,
        0.0335909,
        0.033594,
        0.0337847,
        0.0342676,
        0.0352298,
        0.0355246,
        0.0356607,
        0.0358178,
        0.0366876,
        0.0372513,
        0.037431,
        0.0383865,
        0.0397931,
        0.040852,
        0.0423195,
        0.043598,
        0.0447192,
        0.0468923,
        0.0500839,
        0.0536649,
        0.0583609,
        0.0639219,
        0.0689416,
        0.074317,
        0.0800585,
        0.0838597,
        0.0893257,
        0.0990747,
        0.113557,
        0.13384,
        0.166855,
        0.293315,
        0.196065,
        0.140632,
        0.110028,
        0.0912611,
        0.0790411,
        0.0713665,
        0.0658803,
        0.0616848,
        0.059259,
        0.0575468,
        0.0560822,
        0.0538888,
        0.0508935,
        0.0476342,
        0.0444757,
        0.0422683,
        0.0407215,
        0.039876,
        0.0393466,
        0.0390511,
        0.0398929,
        0.040243,
        0.0398513,
        0.0393469,
        0.0394084,
        0.0395266,
        0.039476,
        0.0403447,
        0.0415823,
        0.0427515,
        0.0430073,
        0.0422379,
        0.0409118,
        0.0384297,
        0.0360261,
        0.0342767,
        0.0333507,
        0.0326552,
        0.0321539,
        0.0316404,
        0.0314621,
        0.0314162,
        0.0315332,
        0.0317648,
        0.0318873,
        0.031936,
        0.0322697,
        0.0327714,
        0.0332635,
        0.0337861,
        0.0335586,
        0.033243,
        0.033475,
        0.033883,
        0.0342569,
        0.0346265,
        0.0350337,
        0.0355167,
        0.0359449,
        0.0369337,
        0.0378698,
        0.0385711,
        0.0394297,
        0.0408383,
        0.0426276,
        0.0443832,
        0.0465633,
        0.0491179,
        0.0528381,
        0.0569732,
        0.0615898,
        0.0670383,
        0.0744971,
        0.0838978,
        0.0983688,
        0.118168,
        0.143793,
        0.177859,
        0.208322,
        0.170282,
        0.147828,
        0.132333,
        0.117679,
        0.101597,
        0.0864562,
        0.0758999,
        0.0653819,
        0.05786,
        0.0523275,
        0.0479185,
        0.0448582,
        0.0423766,
        0.0404069,
        0.039142,
        0.0375776,
        0.0365132,
        0.0354444,
        0.0346692,
        0.0344948,
        0.0342202,
        0.0341025,
        0.0336637,
        0.0329862,
        0.0326901,
        0.0318521,
        0.0311557,
        0.0304263,
        0.0296125,
        0.0290228,
        0.0285627,
        0.0296775,
        0.0301762,
        0.0289695,
        0.0280549,
        0.0280311,
        0.0278227,
        0.0278903,
        0.0276853,
        0.0277372,
        0.0272857,
        0.0272386,
        0.0268089,
        0.0267572,
        0.0265795,
        0.0267807,
        0.0267728,
        0.026858,
        0.0269062,
        0.0271506,
        0.0272988,
        0.0281059,
        0.0281891,
        0.0286184,
        0.0284553,
        0.0286185,
        0.0291065,
        0.0299465,
        0.0300749,
        0.0306133,
        0.0310009,
        0.0314985,
        0.031915,
        0.0327938,
        0.0337358,
        0.0340955,
        0.0348009,
        0.0351219,
        0.0357707,
        0.036341,
        0.0375971,
        0.0388748,
        0.0401762,
        0.0419336,
        0.0435282,
        0.0463885,
        0.0502833,
        0.0556162,
        0.0608433,
        0.0657476,
        0.0701938,
        0.0739219,
        0.0773473,
        0.0836887,
        0.0924457,
        0.106461,
        0.128537,
        0.158301,
        0.206511,
        0.162886,
        0.127974,
        0.10386,
        0.0870079,
        0.0756384,
        0.0660176,
        0.0606229,
        0.0594246,
        0.0561331,
        0.050248,
        0.0471066,
        0.0457885,
        0.0453784,
        0.0423183,
        0.0398656,
        0.0394007,
        0.0394024,
        0.0383613,
        0.0374912,
        0.0366812,
        0.0357218,
        0.034258,
        0.0332701,
        0.032416,
        0.031554,
        0.0307519,
        0.0296172,
        0.0288702,
        0.0283767,
        0.0280664,
        0.0277235,
        0.0270231,
        0.0267184,
        0.0264878,
        0.0265193,
        0.0265782,
        0.0262417,
        0.026222,
        0.0262015,
        0.0262292,
        0.0265615,
        0.0269175,
        0.0274301,
        0.027907,
        0.0286835,
        0.0298189,
        0.0314743,
        0.0329199,
        0.0340103,
        0.0333907,
        0.0314133,
        0.0298542,
        0.0289501,
        0.0286136,
        0.028484,
        0.0282657,
        0.0280585,
        0.0279759,
        0.0280535,
        0.0279395,
        0.0280787,
        0.0283696,
        0.0287043,
        0.029214,
        0.030022,
        0.0312569,
        0.0312872,
        0.0312407,
        0.0319936,
        0.0330078,
        0.0332468,
        0.0339604,
        0.0365423,
        0.0365584,
        0.0369614,
        0.0389146,
        0.0411461,
        0.0437013,
        0.0470494,
        0.0517442,
        0.0598854,
        0.0669176,
        0.0733067,
        0.0831398,
        0.0950916,
        0.111579,
        0.133301,
        0.168392,
        0.201082,
        0.151249,
        0.121542,
        0.100262,
        0.0875417,
        0.077484,
        0.0704036,
        0.0655925,
        0.0622304,
        0.0613022,
        0.0605106,
        0.0606432,
        0.0615405,
        0.0623422,
        0.06182,
        0.0579347,
        0.0553206,
        0.0546842,
        0.0554547,
        0.0588552,
        0.0632689,
        0.0707743,
        0.0826696,
        0.102698,
        0.138503,
        0.199111,
        0.136581,
        0.0974872,
        0.0757443,
        0.0615214,
        0.0530025,
        0.0466201,
        0.0418247,
        0.0387139,
        0.0364291,
        0.0341877,
        0.0326056,
        0.0316122,
        0.0304707,
        0.0299385,
        0.0297609,
        0.0297078,
        0.0289079,
        0.0285242,
        0.0281338,
        0.0278485,
        0.0273683,
        0.0274759,
        0.0279633,
        0.0302231,
        0.0291115,
        0.027972,
        0.028313,
        0.0285909,
        0.0292971,
        0.0300093,
        0.030955,
        0.0322873,
        0.0344592,
        0.0366921,
        0.0391053,
        0.0402808,
        0.0406548,
        0.03912,
        0.0383719,
        0.0389204,
        0.0398293,
        0.0415242,
        0.0440113,
        0.0482518,
        0.0536622,
        0.0607859,
        0.0718753,
        0.0885741,
        0.115051,
        0.150366,
        0.188585,
        0.252494,
        0.187921,
        0.161346,
        0.140799,
        0.128472,
        0.117074,
        0.106101,
        0.0954319,
        0.0923311,
        0.0923255,
        0.0955232,
        0.102813,
        0.119703,
        0.141024,
        0.180619,
        0.239453,
        0.187089,
        0.132564,
        0.102734,
        0.0830077,
        0.0701982,
        0.0605208,
        0.0545127,
        0.0491745,
        0.0451985,
        0.0416926,
        0.0397049,
        0.0373875,
        0.0358056,
        0.034173,
        0.0332986,
        0.032259,
        0.0313187,
        0.0303353,
        0.0298787,
        0.0291752,
        0.0287461,
        0.0280007,
        0.0278443,
        0.0272062,
        0.026795,
        0.0265501,
        0.026556,
        0.0265238,
        0.0263083,
        0.0265654,
        0.0262304,
        0.0260513,
        0.0256953,
        0.0254538,
        0.0252177,
        0.0246736,
        0.025547,
        0.0278252,
        0.0254498,
        0.0242954,
        0.0243259,
        0.0246629,
        0.0250022,
        0.0255385,
        0.0263855,
        0.027325,
        0.0292128,
        0.0333481,
        0.0331792,
        0.0331005,
        0.0351491,
        0.0384187,
        0.0351008,
        0.0324562,
        0.0333569,
        0.0349296,
        0.0360115,
        0.0362648,
        0.0352738,
        0.0338289,
        0.0331987,
        0.0328313,
        0.0330477,
        0.034347,
        0.0354273,
        0.0382132,
        0.0459656,
        0.0464377,
        0.0475065,
        0.0534022,
        0.063077,
        0.0772016,
        0.0981153,
        0.127083,
        0.157699,
        0.185631,
        0.198183,
        0.193075,
        0.167946,
        0.133326,
        0.103293,
        0.0826312,
        0.0679988,
        0.0576186,
        0.0510863,
        0.046775,
        0.0431822,
        0.0410792,
        0.0398962,
        0.0392718,
        0.0385706,
        0.0386099,
        0.0390044,
        0.0402503,
        0.042167,
        0.044107,
        0.0471339,
        0.0502822,
        0.0550743,
        0.0616717,
        0.071996,
        0.084656,
        0.104346,
        0.13273,
        0.179704,
        0.184676,
        0.13353,
        0.0996178,
        0.0807802,
        0.0677191,
        0.0591173,
        0.0529224,
        0.0485179,
        0.0452024,
        0.0446641,
        0.0432278,
        0.0395263,
        0.036424,
        0.0348612,
        0.0339965,
        0.035004,
        0.0362263,
        0.0352725,
        0.0348929,
        0.0361096,
        0.0369064,
        0.0366687,
        0.0361695,
        0.0352026,
        0.0321351,
        0.0304347,
        0.0300711,
        0.0308072,
        0.0310796,
        0.0324417,
        0.0340411,
        0.0334505,
        0.0321327,
        0.0313468,
        0.0311399,
        0.0298549,
        0.0272027,
        0.0256563,
        0.0254847,
        0.0254723,
        0.025138,
        0.026186,
        0.0279773,
        0.0268932,
        0.0257344,
        0.0259942,
        0.0263624,
        0.0265129,
        0.0275305,
        0.0291048,
        0.0289442,
        0.0285916,
        0.0300313,
        0.0317976,
        0.0316491,
        0.0331012,
        0.0363039,
        0.0377763,
        0.0398384,
        0.0439995,
        0.0500469,
        0.0564109,
        0.0653791,
        0.0782838,
        0.0942943,
        0.117222,
        0.143161,
        0.156212,
        0.15671,
        0.15155,
        0.144955,
        0.129809,
        0.106922,
        0.0850173,
        0.0680902,
        0.0569511,
        0.0487858,
        0.0435187,
        0.0397789,
        0.0370424,
        0.035293,
        0.0335293,
        0.0323431,
        0.0320841,
        0.0314465,
        0.0310265,
        0.0307426,
        0.0305334,
        0.0303655,
        0.030325,
        0.0310259,
        0.0316759,
        0.0327415,
        0.033529,
        0.0345825,
        0.0357464,
        0.0376874,
        0.0399439,
        0.0429954,
        0.0467297,
        0.0523061,
        0.0591162,
        0.0668611,
        0.0766596,
        0.088166,
        0.101763,
        0.121658,
        0.148247,
        0.196281,
        0.193557,
        0.138435,
        0.108344,
        0.0923981,
        0.0813806,
        0.0751036,
        0.0717938,
        0.0739841,
        0.0793696,
        0.0881772,
        0.102245,
        0.129234,
        0.171425,
        0.158451,
        0.114704,
        0.088993,
        0.0703296,
        0.0584568,
        0.0508333,
        0.0456704,
        0.0420617,
        0.0401523,
        0.0387311,
        0.0378046,
        0.0385159,
        0.0426878,
        0.043393,
        0.0411194,
        0.0407471,
        0.0423386,
        0.0455714,
        0.0494892,
        0.0554884,
        0.0645236,
        0.0772521,
        0.0933108,
        0.122396,
        0.183014,
        0.26531,
        0.27967,
        0.197529,
        0.145964,
        0.125645,
        0.117727,
        0.123576,
        0.134977,
        0.154426,
        0.162567,
        0.162559,
        0.161227,
        0.154235,
        0.155134,
        0.144736,
        0.128106,
        0.108174,
        0.0916405,
        0.0763238,
        0.0674936,
        0.0598134,
        0.0530197,
        0.0468216,
        0.0413602,
        0.0384439,
        0.0354463,
        0.0335991,
        0.0322217,
        0.031349,
        0.0305424,
        0.0339643,
        0.0367189,
        0.0305216,
        0.0278533,
        0.0276926,
        0.027804,
        0.0285659,
        0.0279073,
        0.0273601,
        0.0276955,
        0.0279409,
        0.0283994,
        0.028663,
        0.0291172,
        0.0313061,
        0.0336256,
        0.030436,
        0.029136,
        0.0293923,
        0.0300715,
        0.0307023,
        0.0342826,
        0.0386109,
        0.0365614,
        0.03702,
        0.0397471,
        0.0435763,
        0.048759,
        0.0584783,
        0.0721645,
        0.0796081,
        0.0941456,
        0.121879,
        0.170786,
        0.265039,
        0.17487,
        0.130413,
        0.106043,
        0.0779657,
        0.0614755,
        0.0535924,
        0.0474653,
        0.043007,
        0.0398163,
        0.0369358,
        0.0381384,
        0.0403632,
        0.0380261,
        0.0337272,
        0.032459,
        0.0341897,
        0.0344403,
        0.0324168,
        0.0340155,
        0.0356835,
        0.0320336,
        0.029477,
        0.0288793,
        0.0292049,
        0.0282667,
        0.0274846,
        0.0272088,
        0.0276725,
        0.0288981,
        0.0297578,
        0.0310048,
        0.0320935,
        0.0338843,
        0.0335604,
        0.0319196,
        0.0306001,
        0.030416,
        0.0301598,
        0.0303092,
        0.0313511,
        0.0329446,
        0.035235,
        0.0385009,
        0.0428792,
        0.0491159,
        0.0577741,
        0.0732123,
        0.0975053,
        0.103606,
        0.102971,
        0.104066,
        0.103314,
        0.106667,
        0.10702,
        0.100307,
        0.0857613,
        0.0696549,
        0.0580839,
        0.0488559,
        0.0429266,
        0.0387616,
        0.0358308,
        0.0332579,
        0.0318534,
        0.0308468,
        0.0302662,
        0.0300885,
        0.0303084,
        0.0308587,
        0.0312891,
        0.0325527,
        0.0339809,
        0.0356641,
        0.0377659,
        0.0403554,
        0.0430366,
        0.045188,
        0.0464858,
        0.046149,
        0.0450362,
        0.0436251,
        0.0424451,
        0.0410934,
        0.0402647,
        0.0388068,
        0.0373584,
        0.0365456,
        0.0359009,
        0.0332851,
        0.0311996,
        0.030512,
        0.0300601,
        0.0299289,
        0.0298747,
        0.0313786,
        0.0326942,
        0.0325022,
        0.0335118,
        0.0352997,
        0.0359686,
        0.0358878,
        0.0351984,
        0.0349585,
        0.0354327,
        0.0364554,
        0.0379444,
        0.0400309,
        0.0431003,
        0.0476444,
        0.053456,
        0.0622973,
        0.0753647,
        0.0949786,
        0.126294,
        0.16784,
        0.191422,
        0.132405,
        0.100628,
        0.0838167,
        0.0714181,
        0.0576701,
        0.049526,
        0.0465876,
        0.0429698,
        0.039081,
        0.0365608,
        0.0350322,
        0.0337861,
        0.032661,
        0.034663,
        0.0357691,
        0.0316263,
        0.0292041,
        0.0310939,
        0.0310444,
        0.0285049,
        0.0266274,
        0.0265644,
        0.0271025,
        0.026583,
        0.0264713,
        0.026539,
        0.026972,
        0.0275334,
        0.0283407,
        0.0295754,
        0.0311249,
        0.033369,
        0.0366398,
        0.040671,
        0.0463454,
        0.0547416,
        0.0660154,
        0.0765344,
        0.0859083,
        0.0904844,
        0.0887392,
        0.0873473,
        0.0873971,
        0.0881967,
        0.0854727,
        0.077792,
        0.0651569,
        0.0561507,
        0.04853,
        0.0447708,
        0.0424473,
        0.0362296,
        0.0314782,
        0.0292794,
        0.02899,
        0.0284668,
        0.0262217,
        0.0251401,
        0.0243096,
        0.0235008,
        0.0233427,
        0.0230005,
        0.022623,
        0.0222339,
        0.0222425,
        0.0221633,
        0.0221124,
        0.0221358,
        0.0230058,
        0.024889,
        0.0236312,
        0.022926,
        0.0237219,
        0.0243209,
        0.0255754,
        0.028415,
        0.0275053,
        0.0277166,
        0.0292084,
        0.0316382,
        0.033642,
        0.0353949,
        0.0349697,
        0.0332918,
        0.0307277,
        0.0282871,
        0.026789,
        0.025645,
        0.0245233,
        0.024366,
        0.0244315,
        0.0243593,
        0.024875,
        0.0247083,
        0.0240363,
        0.0257629,
        0.0261534,
        0.0256215,
        0.0264201,
        0.0276084,
        0.0282886,
        0.0294063,
        0.0300698,
        0.030427,
        0.0310178,
        0.0316713,
        0.0325312,
        0.0343325,
        0.0363368,
        0.0393988,
        0.043622,
        0.0484704,
        0.0563738,
        0.0674139,
        0.084045,
        0.111682,
        0.152466,
        0.209753,
        0.175747,
        0.124669,
        0.0920651,
        0.0714857,
        0.0588434,
        0.0514036,
        0.0455958,
        0.0416839,
        0.0384733,
        0.0362961,
        0.0342102,
        0.0332683,
        0.0323171,
        0.0316198,
        0.0311962,
        0.0307378,
        0.0307534,
        0.0307124,
        0.0309244,
        0.0310038,
        0.0318131,
        0.0327936,
        0.0347702,
        0.0369363,
        0.0396289,
        0.0434887,
        0.0495389,
        0.056063,
        0.0663668,
        0.0769544,
        0.0864399,
        0.0890367,
        0.0872745,
        0.0854715,
        0.0877536,
        0.0884098,
        0.0870622,
        0.082513,
        0.0722521,
        0.0622694,
        0.0540741,
        0.0490092,
        0.0457075,
        0.0440281,
        0.0440411,
        0.0444777,
        0.0463669,
        0.0487457,
        0.0517937,
        0.0535309,
        0.0560644,
        0.0608158,
        0.068888,
        0.0807559,
        0.100183,
        0.134174,
        0.186757,
        0.221192,
        0.148706,
        0.103882,
        0.0798901,
        0.0656094,
        0.0548359,
        0.0479221,
        0.0437989,
        0.0400954,
        0.0374278,
        0.0355926,
        0.0336836,
        0.0324781,
        0.0317162,
        0.0308643,
        0.0305331,
        0.0311876,
        0.0323786,
        0.0316023,
        0.0297078,
        0.0288233,
        0.0281791,
        0.0275243,
        0.0266269,
        0.0260264,
        0.0255809,
        0.0259873,
        0.0264314,
        0.0249764,
        0.0240337,
        0.0238246,
        0.0236999,
        0.0236221,
        0.0236947,
        0.0235245,
        0.0235824,
        0.0238483,
        0.0242348,
        0.0243436,
        0.0248629,
        0.0255589,
        0.0265248,
        0.0273172,
        0.0311527,
        0.0348433,
        0.0352163,
        0.0364477,
        0.0403572,
        0.0458293,
        0.0491767,
        0.0491798,
        0.0540651,
        0.0634179,
        0.0768824,
        0.0969646,
        0.12831,
        0.182115,
        0.215443,
        0.146845,
        0.109083,
        0.0858515,
        0.0712075,
        0.0611507,
        0.0554417,
        0.0517554,
        0.049663,
        0.0485478,
        0.0486222,
        0.0487513,
        0.0487539,
        0.0492562,
        0.04989,
        0.0505587,
        0.0531482,
        0.0564505,
        0.0647049,
        0.0749927,
        0.0768984,
        0.0793479,
        0.0794282,
        0.0767171,
        0.0738608,
        0.0738058,
        0.0751987,
        0.0737324,
        0.0723178,
        0.0687042,
        0.0567782,
        0.0506653,
        0.0486399,
        0.0398619,
        0.0341032,
        0.0316354,
        0.0300821,
        0.0288955,
        0.0279769,
        0.027532,
        0.0273869,
        0.0269276,
        0.0269153,
        0.0275505,
        0.0283619,
        0.0288207,
        0.029088,
        0.0287737,
        0.0297725,
        0.0293542,
        0.0262262,
        0.0248699,
        0.0244003,
        0.0241521,
        0.0240332,
        0.024111,
        0.0241199,
        0.0244761,
        0.0248179,
        0.0278799,
        0.0289438,
        0.0267086,
        0.0254344,
        0.0258367,
        0.0261411,
        0.0260372,
        0.0257043,
        0.0253806,
        0.0248079,
        0.0241894,
        0.0237193,
        0.0233621,
        0.0230425,
        0.0227688,
        0.022594,
        0.0228089,
        0.0225688,
        0.0225184,
        0.0224137,
        0.0223589,
        0.0222127,
        0.0219075,
        0.0217837,
        0.0219719,
        0.0218024,
        0.0217174,
        0.0218519,
        0.0218858,
        0.0218317,
        0.0220899,
        0.0221611,
        0.0224023,
        0.0224798,
        0.0225104,
        0.0226934,
        0.0228344,
        0.0231708,
        0.0235477,
        0.0243357,
        0.0253076,
        0.0265453,
        0.0274087,
        0.0280681,
        0.0289724,
        0.0298244,
        0.0303188,
        0.0307692,
        0.0304317,
        0.030638,
        0.0316212,
        0.0311785,
        0.0309688,
        0.0320913,
        0.0333376,
        0.0349514,
        0.0376483,
        0.0404907,
        0.0436759,
        0.0480374,
        0.0535697,
        0.0607666,
        0.0708786,
        0.0872101,
        0.108028,
        0.140224,
        0.195811,
        0.231956,
        0.172083,
        0.133114,
        0.108831,
        0.0935609,
        0.0853771,
        0.0819296,
        0.0846793,
        0.0893262,
        0.0970992,
        0.107722,
        0.115549,
        0.125512,
        0.130369,
        0.132173,
        0.138044,
        0.157908,
        0.176847,
        0.19596,
        0.199415,
        0.179557,
        0.1604,
        0.141186,
        0.117481,
        0.10066,
        0.0865229,
        0.0777063,
        0.0685936,
        0.0642703,
        0.062288,
        0.0511155,
        0.0437015,
        0.0408063,
        0.0379845,
        0.036096,
        0.0351788,
        0.0352779,
        0.0356245,
        0.0332224,
        0.0322832,
        0.032763,
        0.0331643,
        0.0333701,
        0.0337683,
        0.033363,
        0.0320769,
        0.0312136,
        0.0302525,
        0.0298723,
        0.028938,
        0.027944,
        0.0276476,
        0.0269623,
        0.0265418,
        0.0263457,
        0.0260246,
        0.0267994,
        0.0277704,
        0.0268694,
        0.0258974,
        0.0259185,
        0.026245,
        0.0264061,
        0.0268211,
        0.0287516,
        0.0294727,
        0.0293462,
        0.0290636,
        0.0290792,
        0.028385,
        0.0272616,
        0.0265636,
        0.0257061,
        0.0258005,
        0.0256646,
        0.0250179,
        0.024581,
        0.0248952,
        0.0245384,
        0.0240516,
        0.0240848,
        0.0242402,
        0.0242682,
        0.0243587,
        0.0246346,
        0.0243814,
        0.024612,
        0.0243444,
        0.0243153,
        0.0243918,
        0.0245204,
        0.0244624,
        0.0247991,
        0.0246049,
        0.0249076,
        0.0249445,
        0.0252966,
        0.0255297,
        0.0261822,
        0.026425,
        0.0269114,
        0.0270186,
        0.0275602,
        0.0276345,
        0.0277378,
        0.0278344,
        0.0276446,
        0.0278931,
        0.0280968,
        0.0287576,
        0.0291596,
        0.0298143,
        0.0303386,
        0.0314477,
        0.0326114,
        0.0337899,
        0.0354363,
        0.0374913,
        0.0394709,
        0.0426505,
        0.0461844,
        0.0512968,
        0.0581816,
        0.0674301,
        0.081585,
        0.10158,
        0.129825,
        0.179351,
        0.183669,
        0.151326,
        0.131719,
        0.120965,
        0.114257,
        0.109752,
        0.102031,
        0.0915847,
        0.0808159,
        0.0677154,
        0.0584086,
        0.051482,
        0.0466759,
        0.043212,
        0.0406086,
        0.0385208,
        0.0377819,
        0.0369327,
        0.036194,
        0.0359514,
        0.0352764,
        0.0351169,
        0.0348107,
        0.0343916,
        0.0336256,
        0.0333004,
        0.0328181,
        0.0322453,
        0.0323169,
        0.0322949,
        0.0317663,
        0.0311689,
        0.0302558,
        0.0296041,
        0.0293961,
        0.0294046,
        0.028811,
        0.0289123,
        0.0289528,
        0.0288997,
        0.0288474,
        0.0291804,
        0.0297706,
        0.0296939,
        0.0297043,
        0.0300737,
        0.0304857,
        0.0312743,
        0.0316106,
        0.0315525,
        0.0323356,
        0.0335221,
        0.0347094,
        0.0353656,
        0.0365784,
        0.0384051,
        0.040995,
        0.0434005,
        0.0454701,
        0.0491432,
        0.0537501,
        0.0608395,
        0.0680082,
        0.0806012,
        0.0994941,
        0.126586,
        0.165668,
        0.161158,
        0.121433,
        0.0970488,
        0.0822663,
        0.0694462,
        0.0646737,
        0.0598141,
        0.0508437,
        0.0449958,
        0.0427105,
        0.0400919,
        0.0378399,
        0.036796,
        0.0407799,
        0.0385035,
        0.0337827,
        0.0335225,
        0.0325455,
        0.0321036,
        0.0319984,
        0.0315607,
        0.0312074,
        0.0311404,
        0.0311233,
        0.0309059,
        0.030786,
        0.0315103,
        0.0359595,
        0.0351014,
        0.0320129,
        0.0321841,
        0.0327192,
        0.033321,
        0.0344228,
        0.0357847,
        0.0380044,
        0.0406094,
        0.0433534,
        0.046912,
        0.0510451,
        0.0561289,
        0.0635462,
        0.0730756,
        0.0854948,
        0.0997924,
        0.11367,
        0.12385,
        0.138698,
        0.156811,
        0.180668,
        0.238579,
        0.220475,
        0.166017,
        0.127815,
        0.0980632,
        0.0787409,
        0.0660213,
        0.0570569,
        0.0501807,
        0.0457049,
        0.0412753,
        0.0387296,
        0.0364406,
        0.0346739,
        0.032862,
        0.0316452,
        0.0307132,
        0.0295716,
        0.0288493,
        0.0284983,
        0.0279621,
        0.0276294,
        0.0271682,
        0.0266695,
        0.0266987,
        0.0264487,
        0.0261925,
        0.0265762,
        0.026413,
        0.0261052,
        0.0263342,
        0.0264714,
        0.0261319,
        0.0262379,
        0.026594,
        0.0267775,
        0.0269637,
        0.0273744,
        0.0279072,
        0.0285046,
        0.028674,
        0.0288956,
        0.0292973,
        0.0300859,
        0.0308228,
        0.0296075,
        0.0297455,
        0.0296692,
        0.0292747,
        0.0288294,
        0.0282635,
        0.0275295,
        0.0273341,
        0.0264306,
        0.0261397,
        0.0261379,
        0.0262593,
        0.0261023,
        0.0258817,
        0.0260181,
        0.0263625,
        0.0264509,
        0.0261019,
        0.025971,
        0.0258277,
        0.0256687,
        0.025211,
        0.0250334,
        0.0245589,
        0.024328,
        0.0241542,
        0.0241659,
        0.0239246,
        0.0233813,
        0.0231368,
        0.0232193,
        0.0232573,
        0.0228201,
        0.0226348,
        0.0229112,
        0.0229888,
        0.0231659,
        0.0236917,
        0.0232938,
        0.0233141,
        0.0232885,
        0.023236,
        0.023433,
        0.0234929,
        0.0237789,
        0.0244663,
        0.0251392,
        0.0257459,
        0.0248144,
        0.025176,
        0.0252272,
        0.0255763,
        0.0258575,
        0.026218,
        0.0267366,
        0.0270814,
        0.0281092,
        0.0305369,
        0.0305175,
        0.0314291,
        0.0332845,
        0.0347071,
        0.0361675,
        0.0370765,
        0.0377919,
        0.0385514,
        0.0423373,
        0.0403615,
        0.043788,
        0.0482355,
        0.0536045,
        0.0615266,
        0.0719241,
        0.0706037,
        0.0662826,
        0.0650831,
        0.0623713,
        0.0633101,
        0.0654488,
        0.0680864,
        0.0690202,
        0.0721349,
        0.072199,
        0.0703652,
        0.0703925,
        0.0738023,
        0.0795949,
        0.0889617,
        0.106439,
        0.132212,
        0.158052,
        0.164963,
        0.147117,
        0.120388,
        0.0926372,
        0.0742417,
        0.0613521,
        0.0522286,
        0.0457168,
        0.0418132,
        0.0378543,
        0.0354987,
        0.0333544,
        0.0316495,
        0.0307167,
        0.029323,
        0.0284046,
        0.0282534,
        0.0275143,
        0.0275907,
        0.0270151,
        0.0267802,
        0.0264805,
        0.0264037,
        0.0264714,
        0.026344,
        0.0266359,
        0.027238,
        0.0272065,
        0.0274731,
        0.0270091,
        0.0268238,
        0.0259626,
        0.0254122,
        0.0253608,
        0.0253222,
        0.0253406,
        0.025731,
        0.0254737,
        0.0253794,
        0.025706,
        0.0261023,
        0.0264753,
        0.0267336,
        0.0268273,
        0.0267235,
        0.0263601,
        0.0264157,
        0.0262054,
        0.0253604,
        0.0251152,
        0.0249779,
        0.0246999,
        0.0246165,
        0.0244687,
        0.024266,
        0.0243794,
        0.0240899,
        0.0240901,
        0.0240443,
        0.0244442,
        0.0242736,
        0.0240305,
        0.0237896,
        0.0238099,
        0.0237312,
        0.0240363,
        0.0240275,
        0.0236986,
        0.0239927,
        0.0237566,
        0.0239502,
        0.0239625,
        0.0237764,
        0.0241614,
        0.0239774,
        0.0243113,
        0.024376,
        0.0246709,
        0.0245931,
        0.0248378,
        0.0251424,
        0.025691,
        0.0258246,
        0.026581,
        0.0271052,
        0.0281134,
        0.0289822,
        0.030158,
        0.0311954,
        0.0320542,
        0.0323012,
        0.0318625,
        0.0316652,
        0.0320296,
        0.0314099,
        0.0316628,
        0.0325049,
        0.0335334,
        0.0344235,
        0.0350513,
        0.0356807,
        0.036509,
        0.0370141,
        0.0383416,
        0.0394358,
        0.0418784,
        0.0447306,
        0.0495585,
        0.0527638,
        0.0560908,
        0.0567701,
        0.0570753,
        0.0600861,
        0.0587839,
        0.0541295,
        0.0540739,
        0.0551604,
        0.0572556,
        0.0572087,
        0.0558558,
        0.0525795,
        0.0490684,
        0.0463025,
        0.0437513,
        0.0413335,
        0.0394753,
        0.0394144,
        0.0395111,
        0.039573,
        0.0404922,
        0.0419507,
        0.0438777,
        0.0484253,
        0.0530385,
        0.0598395,
        0.0676138,
        0.0829163,
        0.102863,
        0.12056,
        0.132646,
        0.131851,
        0.112814,
        0.0957931,
        0.080357,
        0.0688463,
        0.0592872,
        0.0523772,
        0.0486982,
        0.0449273,
        0.0420151,
        0.0395938,
        0.0377349,
        0.0369156,
        0.0360506,
        0.0355769,
        0.0349469,
        0.0347335,
        0.0349427,
        0.0346838,
        0.0353526,
        0.0360474,
        0.0385097,
        0.0359422,
        0.0344663,
        0.034234,
        0.0337112,
        0.0345206,
        0.0355859,
        0.0333746,
        0.0333663,
        0.0331711,
        0.0328622,
        0.0332895,
        0.0334294,
        0.0332969,
        0.0334552,
        0.0331826,
        0.0335573,
        0.0331437,
        0.0332805,
        0.0354335,
        0.0352949,
        null,
        0.0256131,
        0.0252519,
        0.0247118,
        0.0242685,
        0.023734,
        0.0233072,
        0.0231107,
        0.0229168,
        0.0227851,
        0.0227506,
        0.0228747,
        0.0230599,
        0.0232753,
        0.0234402,
        0.0235702,
        0.0236089,
        0.0238381,
        0.0240681,
        0.0245562,
        0.0251411,
        0.0258744,
        0.0267286,
        0.0280573,
        0.029849,
        0.0322157,
        0.0347055,
        0.0373334,
        0.0398231,
        0.0422132,
        0.0435445,
        0.0435237,
        0.0427829,
        0.0425247,
        0.0430729,
        0.0437859,
        0.044021,
        0.0436894,
        0.0420828,
        0.0395681,
        0.0376172,
        0.0354588,
        0.0324379,
        0.0292388,
        0.0271253,
        0.0264386,
        0.027857,
        0.0290782,
        0.0264335,
        0.0244288,
        0.0235343,
        0.0232255,
        0.023193,
        0.0234134,
        0.0236832,
        0.0249599,
        0.0247354,
        0.0242856,
        0.0236177,
        0.0235764,
        0.023581,
        0.023776,
        0.0242756,
        0.0248572,
        0.0254074,
        0.0264083,
        0.0280421,
        0.030105,
        0.0327365,
        0.0365646,
        0.0418245,
        0.0489163,
        0.0567821,
        0.0628424,
        0.062693,
        0.0578251,
        0.0498707,
        0.0423481,
        0.0371907,
        0.0330605,
        0.0305264,
        0.0285252,
        0.0269129,
        0.0260272,
        0.0253662,
        0.0265237,
        0.0269156,
        0.0248014,
        0.0237573,
        0.0233561,
        0.0233429,
        0.0233797,
        0.0231414,
        0.0232418,
        0.0232398,
        0.0245109,
        0.0255331,
        0.0248936,
        0.0251298,
        0.0258533,
        0.0260562,
        0.026154,
        0.0261098,
        0.025656,
        0.0253228,
        0.0246646,
        0.0241245,
        0.023466,
        0.0229508,
        0.0226299,
        0.0224366,
        0.0225887,
        0.0226801,
        0.0230945,
        0.0233691,
        0.0235905,
        0.0234779,
        0.0232656,
        0.0223609,
        0.0216619,
        0.0214289,
        0.0212209,
        0.0211106,
        0.0211195,
        0.0211636,
        0.0209558,
        0.0210611,
        0.0211102,
        0.0212399,
        0.0214143,
        0.0219368,
        0.0222286,
        0.0225659,
        0.0231572,
        0.0235614,
        0.024252,
        0.0249322,
        0.026093,
        0.0273979,
        0.0293399,
        0.0314674,
        0.0335437,
        0.0348728,
        0.0343473,
        0.0340715,
        0.0332797,
        0.0325674,
        0.0326937,
        0.0332165,
        0.033709,
        0.0338747,
        0.0328258,
        0.0312936,
        0.0295182,
        0.0277291,
        0.0266086,
        0.0253362,
        0.0247172,
        0.024376,
        0.0235934,
        0.0232196,
        0.0227293,
        0.022004,
        0.021821,
        0.0217243,
        0.0213236,
        0.0210925,
        0.0211446,
        0.0211107,
        0.0211479,
        0.0211544,
        0.0212886,
        0.0211368,
        0.021155,
        0.0212019,
        0.0210079,
        0.0210748,
        0.0212876,
        0.021489,
        0.0214896,
        0.0217093,
        0.022259,
        0.0226997,
        0.0231609,
        0.0236125,
        0.0240909,
        0.0246046,
        0.0256448,
        0.0267912,
        0.0282317,
        0.0304439,
        0.0331071,
        0.0367425,
        0.0419036,
        0.0492072,
        0.0578027,
        0.0565286,
        0.0528086,
        0.0481112,
        0.0432841,
        0.0389477,
        0.0365455,
        0.035352,
        0.0348971,
        0.0351052,
        0.0348381,
        0.034433,
        0.0332751,
        0.0314358,
        0.0327537,
        0.0335081,
        0.0286007,
        0.0254792,
        0.0245813,
        0.0238079,
        0.0231621,
        0.023112,
        0.0231436,
        0.0224167,
        0.0215254,
        0.0214076,
        0.021331,
        0.0213791,
        0.0213957,
        0.0212803,
        0.0211154,
        0.021073,
        0.02113,
        0.0211821,
        0.0211605,
        0.0211475,
        0.0212334,
        0.0214617,
        0.0216784,
        0.0218261,
        0.0222419,
        0.0226402,
        0.0226836,
        0.0226644,
        0.0229835,
        0.0232727,
        0.0235564,
        0.0237954,
        0.0243232,
        0.0248393,
        0.0254244,
        0.0264223,
        0.0274719,
        0.0283571,
        0.029447,
        0.0307077,
        0.0321618,
        0.0340172,
        0.0360813,
        0.038423,
        0.0413101,
        0.0441657,
        0.0462226,
        0.0479351,
        0.0497791,
        0.0520955,
        0.0559953,
        0.0620327,
        0.0690098,
        0.0795154,
        0.0949323,
        0.116982,
        0.148674,
        0.148046,
        0.106723,
        0.0842335,
        0.068202,
        0.057597,
        0.0540574,
        0.0494667,
        0.0425801,
        0.0383935,
        0.0360034,
        0.0345133,
        0.0333125,
        0.0324147,
        0.0319869,
        0.0317345,
        0.0315184,
        0.0316753,
        0.0322964,
        0.0323844,
        0.0326516,
        0.0322287,
        0.0314067,
        0.0310037,
        0.0309997,
        0.0300468,
        0.0293182,
        0.0289151,
        0.0286934,
        0.0285055,
        0.0287429,
        0.0290582,
        0.0299919,
        0.0313439,
        0.0330474,
        0.0348083,
        0.0362782,
        0.0382399,
        0.0403612,
        0.0428584,
        0.0462196,
        0.0493622,
        0.0518273,
        0.0524176,
        0.0483102,
        0.0424209,
        0.0378897,
        0.0341825,
        0.0309693,
        0.028745,
        0.0274196,
        0.026261,
        0.025263,
        0.0243554,
        0.0235435,
        0.023081,
        0.0229828,
        0.0250228,
        0.023372,
        0.0213786,
        0.0211643,
        0.0208136,
        0.0206808,
        0.0205631,
        0.0203722,
        0.0201281,
        0.0200341,
        0.0200316,
        0.0198709,
        0.0198925,
        0.0198606,
        0.0198224,
        0.0199566,
        0.0199481,
        0.0199961,
        0.0202519,
        0.0203589,
        0.0205045,
        0.0208033,
        0.0209854,
        0.0209575,
        0.0211515,
        0.0212666,
        0.0210794,
        0.0212434,
        0.0214393,
        0.0216455,
        0.0221973,
        0.022621,
        0.0234611,
        0.0245043,
        0.025586,
        0.0270572,
        0.0282261,
        0.0295408,
        0.0304786,
        0.0308905,
        0.0299723,
        0.0286411,
        0.0280419,
        0.0279874,
        0.0282305,
        0.0289009,
        0.0289617,
        0.0291773,
        0.0283525,
        0.0273991,
        0.0266061,
        0.025516,
        0.0250784,
        0.0247624,
        0.0251554,
        0.0254257,
        0.0259315,
        0.0255039,
        0.0251446,
        0.0240034,
        0.0229985,
        0.0222096,
        0.0216642,
        0.0211298,
        0.0211689,
        0.0206237,
        0.0203539,
        0.0202342,
        0.020341,
        0.0204079,
        0.0207458,
        0.0206568,
        0.0209041,
        0.0210782,
        0.0214621,
        0.0215869,
        0.0221248,
        0.0223213,
        0.0226894,
        0.0231926,
        0.0239787,
        0.0247436,
        0.0255022,
        0.0268822,
        0.0280549,
        0.0300392,
        0.0316175,
        0.0335059,
        0.0348954,
        0.0367936,
        0.0383818,
        0.0406511,
        0.0442106,
        0.0487691,
        0.0541878,
        0.0618852,
        0.069561,
        0.0781754,
        0.0822482,
        0.0819303,
        0.0767696,
        0.0692575,
        0.0616349,
        0.0547302,
        0.048716,
        0.0445887,
        0.0422724,
        0.0430266,
        0.0423616,
        0.0406911,
        0.0420074,
        0.042771,
        0.043025,
        0.0423765,
        0.0411524,
        0.0361324,
        0.0316264,
        0.0291838,
        0.0269608,
        0.0259497,
        0.0266262,
        0.0246918,
        0.0222784,
        0.022005,
        0.0215496,
        0.0210532,
        0.0210496,
        0.0210519,
        0.0207084,
        0.0207972,
        0.0207376,
        0.0205151,
        0.0202731,
        0.020377,
        0.0201643,
        0.0200109,
        0.0200738,
        0.0204968,
        0.0205417,
        0.0206165,
        0.0208525,
        0.0212305,
        0.0216587,
        0.021914,
        0.0223008,
        0.0232037,
        0.0236905,
        0.024197,
        0.0248779,
        0.0267332,
        0.031298,
        0.032117,
        0.0292045,
        0.0293376,
        0.0291418,
        0.0289326,
        0.0287163,
        0.0293244,
        0.0304887,
        0.0282547,
        0.0256128,
        0.0252838,
        0.0250462,
        0.0250548,
        0.0252501,
        0.025665,
        0.0252763,
        0.0243367,
        0.0231024,
        0.0219087,
        0.0207718,
        0.0200313,
        0.019692,
        0.01922,
        0.0188997,
        0.0186202,
        0.0183582,
        0.0181234,
        0.0180444,
        0.0179451,
        0.0182409,
        0.0189465,
        0.0187952,
        0.0179975,
        0.0178999,
        0.0179632,
        0.0180431,
        0.0179735,
        0.0180657,
        0.0183499,
        0.0186498,
        0.0190079,
        0.0195148,
        0.0198181,
        0.0201666,
        0.0205603,
        0.0209512,
        0.0212766,
        0.0213422,
        0.0209705,
        0.020629,
        0.0202336,
        0.0198039,
        0.0193438,
        0.019092,
        0.0188266,
        0.018652,
        0.0186156,
        0.0182962,
        0.0183714,
        0.0197191,
        0.0189834,
        0.0179842,
        0.0179838,
        0.0183837,
        0.0184195,
        0.0186995,
        0.018698,
        0.0177784,
        0.0177172,
        0.0177552,
        0.0178119,
        0.0178378,
        0.0177252,
        0.0177746,
        0.0178756,
        0.0178903,
        0.0179701,
        0.0180741,
        0.0182983,
        0.0185423,
        0.0190592,
        0.0196156,
        0.0203599,
        0.0207199,
        0.0216412,
        0.0229437,
        0.0242476,
        0.0262277,
        0.0288147,
        0.0309866,
        0.0328484,
        0.0332201,
        0.032561,
        0.0314189,
        0.0301844,
        0.0296424,
        0.0293216,
        0.0288986,
        0.0278471,
        0.0265111,
        0.0247945,
        0.0236887,
        0.0228625,
        0.022502,
        0.0219843,
        0.0219492,
        0.0248345,
        0.0241131,
        0.0218316,
        0.0206665,
        0.0202796,
        0.0202969,
        0.0203354,
        0.0203451,
        0.0204374,
        0.0203346,
        0.0208296,
        0.0237792,
        0.0226557,
        0.0210472,
        0.0212594,
        0.0217964,
        0.0225952,
        0.0232901,
        0.0240614,
        0.0244964,
        0.0249153,
        0.024816,
        0.0244851,
        0.0239292,
        0.024558,
        0.0259406,
        0.0251834,
        0.0244934,
        0.0247064,
        0.025133,
        0.0251285,
        0.0247949,
        0.0241937,
        0.0236986,
        0.0230701,
        0.022565,
        0.0225315,
        0.0222716,
        0.0223657,
        0.0225415,
        0.0230362,
        0.0234199,
        0.0239031,
        0.0242842,
        0.0253264,
        0.028901,
        0.0288388,
        0.0285577,
        0.0304396,
        0.032103,
        0.0343254,
        0.0368973,
        0.039602,
        0.044593,
        0.0535813,
        0.0591989,
        0.0615152,
        0.0744756,
        0.093207,
        0.120733,
        0.168068,
        0.150445,
        0.109262,
        0.08286,
        0.067737,
        0.0573749,
        0.049611,
        0.0437729,
        0.0394685,
        0.0364777,
        0.0340651,
        0.032197,
        0.0312973,
        0.0303381,
        0.030161,
        0.0304568,
        0.0322621,
        0.0321065,
        0.031403,
        0.0333988,
        0.0309284,
        0.0284516,
        0.0266041,
        0.025272,
        0.0243008,
        0.0235849,
        0.0229635,
        0.0224234,
        0.0218681,
        0.0215928,
        0.0210433,
        0.0208917,
        0.0207845,
        0.0208456,
        0.0207181,
        0.0208744,
        0.0208827,
        0.0212515,
        0.0217193,
        0.0224315,
        0.0233832,
        0.0244934,
        0.0260613,
        0.0274161,
        0.028989,
        0.0297995,
        0.0306041,
        0.032408,
        0.028157,
        0.0249755,
        0.0239626,
        0.0227235,
        0.0218411,
        0.021101,
        0.0205693,
        0.0201358,
        0.0200406,
        0.0197951,
        0.0197011,
        0.0195729,
        0.0194678,
        0.0195159,
        0.0193425,
        0.0195163,
        0.0195891,
        0.0197451,
        0.0199482,
        0.0200332,
        0.0206275,
        0.0222034,
        0.0258951,
        0.0238936,
        0.0223037,
        0.0222619,
        0.0220183,
        0.0213194,
        0.0211117,
        0.021152,
        0.0209945,
        0.0213858,
        0.0218109,
        0.0219618,
        0.022447,
        0.0223258,
        0.0212304,
        0.0204688,
        0.021146,
        0.0218467,
        0.0203079,
        0.0192796,
        0.0192304,
        0.0195108,
        0.0203498,
        0.0211671,
        0.0207961,
        0.0206541,
        0.020226,
        0.0201984,
        0.0209311,
        0.0205661,
        0.0195906,
        0.0194264,
        0.0190733,
        0.0185483,
        0.0184816,
        0.0184479,
        0.0183565,
        0.0182671,
        0.0201154,
        0.0227144,
        0.0208474,
        0.0191717,
        0.0193503,
        0.020282,
        0.0204288,
        0.0206514,
        0.0220503,
        0.0235508,
        0.0241413,
        0.0242611,
        0.0236414,
        0.0227104,
        0.0216421,
        0.0207149,
        0.0199825,
        0.0191939,
        0.0188054,
        0.0202826,
        0.0218326,
        0.0196198,
        0.0178099,
        0.0177016,
        0.0176624,
        0.0174839,
        0.0173733,
        0.0173619,
        0.0171975,
        0.0185593,
        0.0194855,
        0.0179312,
        0.0172501,
        0.0172845,
        0.0170402,
        0.017102,
        0.017022,
        0.0168534,
        0.0168047,
        0.0169922,
        0.0170419,
        0.0169949,
        0.0169998,
        0.0173431,
        0.0177159,
        0.0178188,
        0.0178455,
        0.0179985,
        0.0180446,
        0.0179417,
        0.0184253,
        0.0187611,
        0.0178384,
        0.0172793,
        0.0173044,
        0.0173804,
        0.0188267,
        0.0198491,
        0.0186389,
        0.0177988,
        0.0179745,
        0.0182231,
        0.0184448,
        0.0188506,
        0.0195498,
        0.0203117,
        0.0210463,
        0.0219144,
        0.0228842,
        0.0239084,
        0.0248386,
        0.0253218,
        0.0248777,
        0.0237856,
        0.022523,
        0.021552,
        0.0206711,
        0.020036,
        0.0197523,
        0.0195349,
        0.0194617,
        0.019531,
        0.0196742,
        0.0199858,
        0.0203656,
        0.0210466,
        0.0220242,
        0.023629,
        0.0255176,
        0.0271526,
        0.0276165,
        0.0280135,
        0.0287793,
        0.028718,
        0.0274496,
        0.0261068,
        0.0253376,
        0.0247889,
        0.0242638,
        0.0237475,
        0.0231938,
        0.0226821,
        0.0219633,
        0.0213613,
        0.0213313,
        0.0212027,
        0.0211905,
        0.0213733,
        0.02173,
        0.0225063,
        0.0231142,
        0.0237303,
        0.0254682,
        0.0264896,
        0.0246477,
        0.0222934,
        0.0212511,
        0.0204443,
        0.0195866,
        0.0189902,
        0.01873,
        0.018542,
        0.0182851,
        0.0180451,
        0.0179283,
        0.0178048,
        0.017754,
        0.0175917,
        0.0188007,
        0.0202424,
        0.0180925,
        0.0171859,
        0.0170447,
        0.017056,
        0.0175859,
        0.017147,
        0.0168203,
        0.0167659,
        0.0165985,
        0.0166504,
        0.0167346,
        0.017196,
        0.0175074,
        0.0169545,
        0.0166631,
        0.0165984,
        0.016503,
        0.0166626,
        0.0167509,
        0.0167084,
        0.0166286,
        0.0166544,
        0.0164596,
        0.0164624,
        0.0162895,
        0.0161418,
        0.0161316,
        0.0163266,
        0.0162775,
        0.0162432,
        0.0163938,
        0.017641,
        0.0181178,
        0.0171346,
        0.016973,
        0.0168299,
        0.0167635,
        0.0168363,
        0.0168391,
        0.0167137,
        0.0167622,
        0.016899,
        0.0169084,
        0.0168744,
        0.0169603,
        0.0169704,
        0.0169257,
        0.0169751,
        0.0169415,
        0.0169535,
        0.0172798,
        0.0180542,
        0.0179118,
        0.0174612,
        0.0174073,
        0.0173807,
        0.017348,
        0.0184244,
        0.0197765,
        0.0201327,
        0.018118,
        0.0175003,
        0.0178136,
        0.0177594,
        0.0178249,
        0.0181116,
        0.0181669,
        0.0184603,
        0.0186966,
        0.0205922,
        0.0222647,
        0.0211449,
        0.0208616,
        0.0217005,
        0.022627,
        0.0236924,
        0.0251236,
        0.0271472,
        0.0259508,
        0.0248004,
        0.0248584,
        0.0254076,
        0.0259447,
        0.0269291,
        0.0285218,
        0.0294791,
        0.0298173,
        0.0287638,
        0.027135,
        0.0260431,
        0.0265228,
        0.026046,
        0.0239032,
        0.0226611,
        0.0226323,
        0.0230546,
        0.0231187,
        0.0229461,
        0.0221205,
        0.0216841,
        0.0210601,
        0.0206705,
        0.0213243,
        0.0220355,
        0.0205893,
        0.0194839,
        0.0197418,
        0.0205403,
        0.019697,
        0.0189717,
        0.0189236,
        0.0192326,
        0.0189366,
        0.0187817,
        0.0187199,
        0.0189149,
        0.0189869,
        0.018846,
        0.0191356,
        0.0192281,
        0.0194258,
        0.0191504,
        0.0193593,
        0.0195059,
        0.0195933,
        0.0199624,
        0.0201117,
        0.0202243,
        0.020069,
        0.0202551,
        0.0207535,
        0.021015,
        0.0214336,
        0.0217843,
        0.0221901,
        0.0226017,
        0.0233976,
        0.023968,
        0.0243284,
        0.0253155,
        0.02712,
        0.0297413,
        0.0321174,
        0.0312568,
        0.0321349,
        0.0353141,
        0.038909,
        0.0424552,
        0.0471185,
        0.0543968,
        0.0660098,
        0.0824723,
        0.106687,
        0.152721,
        0.194584,
        0.136774,
        0.0997491,
        0.0763161,
        0.0627837,
        0.0535885,
        0.0466693,
        0.0413162,
        0.0381276,
        0.0362765,
        0.0343574,
        0.0314452,
        0.0297002,
        0.0283877,
        0.0271253,
        0.0260855,
        0.025765,
        0.0253471,
        0.0248313,
        0.0244215,
        0.0245302,
        0.0246081,
        0.0248304,
        0.025104,
        0.0261261,
        0.0272707,
        0.0277126,
        0.0277011,
        0.0265599,
        0.0252557,
        0.023992,
        0.0231583,
        0.022768,
        0.0225314,
        0.0217121,
        0.0214198,
        0.0212929,
        0.0213848,
        0.0212228,
        0.0212857,
        0.0215453,
        0.0216682,
        0.0218343,
        0.0218544,
        0.0221549,
        0.0225772,
        0.0231477,
        0.0239536,
        0.024859,
        0.0255284,
        0.0256179,
        0.0254411,
        0.0250151,
        0.02421,
        0.0232613,
        0.0223561,
        0.021636,
        0.0214275,
        0.0210327,
        0.0210618,
        0.0212639,
        0.0216289,
        0.0209165,
        0.0199791,
        0.019527,
        0.0191237,
        0.0189037,
        0.0184075,
        0.0181441,
        0.0188234,
        0.0192497,
        0.0186064,
        0.0177307,
        0.0187516,
        0.018907,
        0.0176891,
        0.0184916,
        0.0192785,
        0.0186546,
        0.0184596,
        0.0176837,
        0.01744,
        0.0174234,
        0.0172445,
        0.0170656,
        0.0169318,
        0.0168925,
        0.0168358,
        0.0167542,
        0.0166834,
        0.0167914,
        0.0167807,
        0.0167069,
        0.016661,
        0.0166373,
        0.016575,
        0.0165289,
        0.0164674,
        0.0163488,
        0.0167203,
        0.016854,
        0.0165539,
        0.0166289,
        0.0166794,
        0.0166195,
        0.016527,
        0.0171612,
        0.0178023,
        0.0172245,
        0.0169635,
        0.0170355,
        0.0168799,
        0.0167196,
        0.0165638,
        0.0184516,
        0.0192847,
        0.0185546,
        0.0186216,
        0.0174299,
        0.0167792,
        0.0171819,
        0.0177066,
        0.017293,
        0.0174966,
        0.0177418,
        0.018384,
        0.0191172,
        0.0192438,
        0.0194582,
        0.0202858,
        0.0212432,
        0.0222553,
        0.0231149,
        0.023724,
        0.0233044,
        0.022053,
        0.0208965,
        0.0199599,
        0.0192361,
        0.018697,
        0.0197739,
        0.0192294,
        0.0181408,
        0.0177218,
        0.0176338,
        0.0175587,
        0.0177806,
        0.0176861,
        0.0175126,
        0.018742,
        0.0202472,
        0.0181565,
        0.0172938,
        0.017365,
        0.0174027,
        0.0173257,
        0.0173465,
        0.0174882,
        0.0178274,
        0.0179973,
        0.0179875,
        0.0178901,
        0.0179542,
        0.0180906,
        0.0179991,
        0.0178038,
        0.0176966,
        0.0177936,
        0.017777,
        0.0177953,
        0.017742,
        0.0176016,
        0.0178165,
        0.0180578,
        0.0182221,
        0.0184211,
        0.0189549,
        0.0197132,
        0.0203139,
        0.0203021,
        0.0199566,
        0.0199058,
        0.0196206,
        0.0199713,
        0.0207494,
        0.0206437,
        0.0204486,
        0.0210975,
        0.0216641,
        0.0224009,
        0.0232968,
        0.023579,
        0.0234141,
        0.0228814,
        0.0222095,
        0.0215071,
        0.0208592,
        0.0204107,
        0.0198681,
        0.0192747,
        0.0191332,
        0.0189417,
        0.0187822,
        0.0186163,
        0.0184984,
        0.0187209,
        0.0191102,
        0.0187475,
        0.0194048,
        0.0211514,
        0.0195068,
        0.0191009,
        0.01884,
        0.018618,
        0.0189028,
        0.0188506,
        0.0188735,
        0.0189568,
        0.0190385,
        0.0202159,
        0.0206154,
        0.0194608,
        0.0192515,
        0.0194394,
        0.0198394,
        0.0200214,
        0.0201745,
        0.0207045,
        0.0210345,
        0.0216979,
        0.0224604,
        0.0231233,
        0.0240616,
        0.0250817,
        0.0265931,
        0.028353,
        0.0313256,
        0.0348989,
        0.0400007,
        0.0474186,
        0.0573949,
        0.0710909,
        0.0876191,
        0.107498,
        0.114622,
        0.110722,
        0.0990488,
        0.0847958,
        0.067902,
        0.0548583,
        0.0453408,
        0.0387959,
        0.0341213,
        0.0311652,
        0.0287417,
        0.0270557,
        0.0257081,
        0.0248985,
        0.0238396,
        0.0232554,
        0.0225887,
        0.022317,
        0.0242715,
        0.0257087,
        0.02412,
        0.0246589,
        0.0220692,
        0.0206949,
        0.0203833,
        0.0205327,
        0.0201062,
        0.0199995,
        0.0200606,
        0.0198674,
        0.0200075,
        0.0197788,
        0.0198197,
        0.0197044,
        0.0197177,
        0.0195016,
        0.0197556,
        0.021189,
        0.0220188,
        0.0205748,
        0.0198044,
        0.0200347,
        0.0205253,
        0.0204293,
        0.020186,
        0.0199881,
        0.0201001,
        0.0200834,
        0.0201442,
        0.0203843,
        0.0205018,
        0.0208449,
        0.0212324,
        0.0216827,
        0.0232596,
        0.0247533,
        0.0248293,
        0.0258704,
        0.0278681,
        0.0311705,
        0.0360453,
        0.0391588,
        0.0415022,
        0.0442415,
        0.0450707,
        0.0440491,
        0.0407317,
        0.0367345,
        0.0335261,
        0.0311414,
        0.0293881,
        0.0277151,
        0.0264244,
        0.0254208,
        0.0245705,
        0.0261607,
        0.0275289,
        0.0254272,
        0.02408,
        0.0236957,
        0.0233206,
        0.0237214,
        0.0240495,
        0.0239719,
        0.0238437,
        0.0236463,
        0.0236551,
        0.0244734,
        0.0245785,
        0.0246546,
        0.024588,
        0.0244177,
        0.0240002,
        0.0236832,
        0.0233536,
        0.0232078,
        0.0230307,
        0.0230018,
        0.0228654,
        0.0227277,
        0.0227501,
        0.0229764,
        0.0234119,
        0.0242344,
        0.0253295,
        0.0265463,
        0.0274384,
        0.0280965,
        0.0284646,
        0.0277561,
        0.026622,
        0.0254286,
        0.0246044,
        0.023936,
        0.0232347,
        0.0225042,
        0.0223645,
        0.0223846,
        0.0221424,
        0.0218454,
        0.0216269,
        0.0217403,
        0.021855,
        0.0218963,
        0.0219363,
        0.02222,
        0.0225151,
        0.0227562,
        0.0234649,
        0.0248296,
        0.0266948,
        0.0246312,
        0.0237041,
        0.0238415,
        0.0238548,
        0.0239948,
        0.0242908,
        0.0246562,
        0.0249918,
        0.0255062,
        0.0259891,
        0.0262843,
        0.0269078,
        0.0275133,
        0.0277169,
        0.0287358,
        0.0311468,
        0.0304453,
        0.0300411,
        0.0307144,
        0.0317627,
        0.0327996,
        0.0338061,
        0.0352816,
        0.0379605,
        0.0399693,
        0.041698,
        0.0452792,
        0.0487421,
        0.0526398,
        0.0573602,
        0.0657788,
        0.0814514,
        0.0923363,
        0.108836,
        0.136785,
        0.189228,
        0.249686,
        0.182384,
        0.135863,
        0.106291,
        0.0915681,
        0.0814963,
        0.0738204,
        0.0690237,
        0.0661704,
        0.0718552,
        0.0731172,
        0.0677255,
        0.067089,
        0.0690525,
        0.0752234,
        0.0831543,
        0.0962329,
        0.117248,
        0.157499,
        0.225815,
        0.151269,
        0.115373,
        0.0948841,
        0.0811679,
        0.0680221,
        0.0603652,
        0.0557257,
        0.051739,
        0.0480747,
        0.0467845,
        0.0454695,
        0.0457348,
        0.0452637,
        0.0448717,
        0.0434008,
        0.0403645,
        0.0378574,
        0.0351593,
        0.0330372,
        0.0312417,
        0.0303355,
        0.0296702,
        0.0283975,
        0.0278664,
        0.0274472,
        0.0275096,
        0.0272823,
        0.0267739,
        0.0266693,
        0.0269188,
        0.0267496,
        0.0265307,
        0.0260131,
        0.0252491,
        0.0245572,
        0.0241576,
        0.0241876,
        0.0243422,
        0.0254511,
        0.026115,
        0.0225984,
        0.0224236,
        0.0221608,
        0.0219993,
        0.0222144,
        0.0221226,
        0.0221412,
        0.0218545,
        0.0220178,
        0.0219389,
        0.0219112,
        0.0215906,
        0.0216004,
        0.021735,
        0.021892,
        0.0217081,
        0.0219701,
        0.0220741,
        0.0218246,
        0.0216646,
        0.0216269,
        0.021493,
        0.0213294,
        0.0213795,
        0.0217957,
        0.0217439,
        0.0214898,
        0.0213478,
        0.0213768,
        0.0212021,
        0.0210397,
        0.0211619,
        0.0211922,
        0.0210417,
        0.0210748,
        0.0210749,
        0.0211064,
        0.0212272,
        0.0211468,
        0.0210348,
        0.0210545,
        0.0208499,
        0.0207376,
        0.0210321,
        0.0213258,
        0.0210062,
        0.0209891,
        0.0211549,
        0.0212064,
        0.0216386,
        0.0232044,
        0.0225862,
        0.0213423,
        0.0213008,
        0.0210451,
        0.0207521,
        0.0206831,
        0.0206638,
        0.0208751,
        0.020939,
        0.0208619,
        0.0210218,
        0.0212002,
        0.0214958,
        0.0219548,
        0.0223537,
        0.0230002,
        0.0240593,
        0.0279624,
        0.0290342,
        0.0261459,
        0.0270794,
        0.0281894,
        0.0290414,
        0.0305089,
        0.0316721,
        0.030411,
        0.0298281,
        0.0287537,
        0.0278777,
        0.0275604,
        0.0271783,
        0.0267149,
        0.0266478,
        0.0282693,
        0.029251,
        0.0293167,
        0.0294271,
        0.0296781,
        0.0286998,
        0.027385,
        0.0262844,
        0.0253175,
        0.0242059,
        0.0238267,
        0.0239217,
        0.0237171,
        0.0227585,
        0.022555,
        0.0224331,
        0.022107,
        0.0219724,
        0.0217124,
        0.0213829,
        0.0210696,
        0.0210912,
        0.0212965,
        0.0211562,
        0.0214457,
        0.0214151,
        0.0212653,
        0.0212402,
        0.0212893,
        0.0226356,
        0.022136,
        0.02052,
        0.0204608,
        0.02039,
        0.0203862,
        0.0202941,
        0.0201156,
        0.0202128,
        0.0203235,
        0.0202497,
        0.020374,
        0.0203301,
        0.0202454,
        0.0203157,
        0.0225526,
        0.0210464,
        0.0248317,
        0.0252182,
        0.0204471,
        0.0207466,
        0.0210406,
        0.0214786,
        0.0217021,
        0.0247413,
        0.0272085,
        0.0234291,
        0.0226505,
        0.0226749,
        0.0224524,
        0.0219248,
        0.0216772,
        0.0217171,
        0.0215564,
        0.0216934,
        0.0218268,
        0.0218297,
        0.0219607,
        0.0219674,
        0.0222511,
        0.022483,
        0.0225325,
        0.0229816,
        0.0232635,
        0.0234507,
        0.0244933,
        0.0236564,
        0.0236787,
        0.0231881,
        0.022945,
        0.0231266,
        0.0226666,
        0.0224238,
        0.0220942,
        0.0217756,
        0.0215093,
        0.0213037,
        0.0213043,
        0.0214674,
        0.0222297,
        0.0214053,
        0.0211581,
        0.0208478,
        0.0210847,
        0.0211721,
        0.0213997,
        0.0213694,
        0.0240384,
        0.0244286,
        0.0214383,
        0.0209977,
        0.0209268,
        0.0208698,
        0.0209886,
        0.020806,
        0.0211315,
        0.0214037,
        0.0214698,
        0.0212948,
        0.0213437,
        0.0217545,
        0.0220582,
        0.0221807,
        0.022663,
        0.023315,
        0.0241726,
        0.0253618,
        0.0263916,
        0.0281865,
        0.0285814,
        0.0288995,
        0.0290069,
        0.0280819,
        0.0271055,
        0.0269902,
        0.0264356,
        0.0247834,
        0.0241255,
        0.0238887,
        0.0239573,
        0.0272546,
        0.0269282,
        0.0241931,
        0.0240783,
        0.0238931,
        0.0237605,
        0.0235555,
        0.0237575,
        0.023344,
        0.0234435,
        0.0236166,
        0.0236076,
        0.023607,
        0.0236245,
        0.0238681,
        0.025873,
        0.0252064,
        0.0235137,
        0.023541,
        0.0237227,
        0.0237693,
        0.0259904,
        0.0264344,
        0.0243087,
        0.0242001,
        0.0243481,
        0.024523,
        0.024321,
        0.0239822,
        0.0235755,
        0.0235655,
        0.0238004,
        0.0239733,
        0.0242646,
        0.0243795,
        0.0244606,
        0.0245207,
        0.0247801,
        0.0247499,
        0.0250971,
        0.0253605,
        0.0256616,
        0.0254709,
        0.0247641,
        0.0247798,
        0.0245027,
        0.0243864,
        0.0242571,
        0.0240834,
        0.0242002,
        0.0241809,
        0.0239768,
        0.0242391,
        0.0240651,
        0.0239626,
        0.024036,
        0.02407,
        0.0243044,
        0.0243493,
        0.0245927,
        0.0249749,
        0.0249033,
        0.0248204,
        0.0258562,
        0.0269314,
        0.0263268,
        0.0245697,
        0.0256063,
        0.0268293,
        0.0262623,
        0.0248226,
        0.0247762,
        0.0248735,
        0.0248885,
        0.0249781,
        0.025183,
        0.0255378,
        0.02553,
        0.0256179,
        0.0256757,
        0.0254931,
        0.0249438,
        0.0247183,
        0.0245721,
        0.0243797,
        0.0245013,
        0.0252658,
        0.0261331,
        0.0248086,
        0.0240611,
        0.0239914,
        0.0237658,
        0.0242888,
        0.0244571,
        0.0238992,
        0.0239695,
        0.0241834,
        0.0245593,
        0.024737,
        0.0255705,
        0.0287754,
        0.0279461,
        0.0276717,
        0.0305435,
        0.0292556,
        0.0283532,
        0.0293402,
        0.0307548,
        0.0316668,
        0.0315565,
        0.0307292,
        0.0297111,
        0.0285619,
        0.0279353,
        0.0282551,
        0.0296665,
        0.0292382,
        0.0270488,
        0.0269331,
        0.027114,
        0.027295,
        0.0274903,
        0.0276927,
        0.0278676,
        0.0278208,
        0.0280935,
        0.0287434,
        0.029282,
        0.0298454,
        0.0301686,
        0.0310483,
        0.0316886,
        0.0322572,
        0.0330773,
        0.0344241,
        0.0358646,
        0.0378168,
        0.0395715,
        0.0420699,
        0.0449035,
        0.0482671,
        0.0534668,
        0.0591578,
        0.0676941,
        0.0790535,
        0.0959177,
        0.124291,
        0.167023,
        0.219004,
        0.332306,
        0.130605,
        0.105038,
        0.0868838,
        0.074354,
        0.0658414,
        0.0597385,
        0.0550669,
        0.0505977,
        0.0470223,
        0.0446043,
        0.0424823,
        0.0417026,
        0.0417971,
        0.0408735,
        0.0382961,
        0.0370983,
        0.0357723,
        0.0356665,
        0.0348406,
        0.0345815,
        0.0344437,
        0.0338271,
        0.0329574,
        0.0324395,
        0.0319848,
        0.0315996,
        0.0310552,
        0.0309129,
        0.0303852,
        0.0295129,
        0.0294153,
        0.0295519,
        0.0290045,
        0.028792,
        0.0284738,
        0.0285638,
        0.0283535,
        0.0287804,
        0.0286081,
        0.0290604,
        0.0288679,
        0.0284376,
        0.0285018,
        0.0283412,
        0.0286628,
        0.0284473,
        0.0282902,
        0.0288134,
        0.0289484,
        0.0297697,
        0.0330697,
        0.0311441,
        0.0291173,
        0.0289959,
        0.0289161,
        0.0294414,
        0.0293838,
        0.0296397,
        0.0297821,
        0.0297165,
        0.0304824,
        0.0306367,
        0.0314504,
        0.0319572,
        0.0331783,
        0.0343427,
        0.0357527,
        0.0382253,
        0.0387296,
        0.0381374,
        0.0368761,
        0.0355577,
        0.0341704,
        0.0330783,
        0.0321964,
        0.0311826,
        0.0310352,
        0.0300278,
        0.0292356,
        0.0288858,
        0.0286823,
        0.0286792,
        0.0285823,
        0.0283425,
        0.027998,
        0.0276668,
        0.0272331,
        0.0274636,
        0.0273517,
        0.0274505,
        0.0277971,
        0.0278356,
        0.0277318,
        0.0274928,
        0.0279955,
        0.0279038,
        0.0279975,
        null,
        0.0198979,
        0.0200026,
        0.0200994,
        0.0201431,
        0.0201482,
        0.020162,
        0.0201804,
        0.0210789,
        0.0214562,
        0.0204452,
        0.0201322,
        0.0201679,
        0.0201673,
        0.0201591,
        0.0202619,
        0.020411,
        0.0204233,
        0.0205104,
        0.0207074,
        0.0209549,
        0.0214146,
        0.0214233,
        0.0213478,
        0.0214596,
        0.021689,
        0.0220049,
        0.0223699,
        0.0229971,
        0.0237554,
        0.0245926,
        0.0255101,
        0.0258933,
        0.0258303,
        0.025134,
        0.024055,
        0.0230757,
        0.0222943,
        0.0217758,
        0.0213023,
        0.0219036,
        0.0225977,
        0.0213165,
        0.0201641,
        0.0199483,
        0.0197976,
        0.0198919,
        0.01984,
        0.0195081,
        0.0195136,
        0.0194115,
        0.0208851,
        0.0223631,
        0.0204321,
        0.0195295,
        0.0195818,
        0.019656,
        0.0197385,
        0.0199033,
        0.0197437,
        0.0196938,
        0.0197411,
        0.0197301,
        0.0197701,
        0.0197119,
        0.019754,
        0.0198252,
        0.019956,
        0.0202873,
        0.0204097,
        0.0204073,
        0.0204189,
        0.0203672,
        0.0203194,
        0.020393,
        0.0205454,
        0.0206129,
        0.020541,
        0.0205404,
        0.0206333,
        0.0206886,
        0.0207169,
        0.0209496,
        0.0208662,
        0.0208721,
        0.0209819,
        0.0209383,
        0.0209423,
        0.0209527,
        0.0209433,
        0.02099,
        0.0210998,
        0.0212113,
        0.021356,
        0.0214722,
        0.0214939,
        0.0214558,
        0.0214145,
        0.0214226,
        0.021653,
        0.0217392,
        0.0218405,
        0.0220593,
        0.022261,
        0.0223689,
        0.0225652,
        0.0224523,
        0.022401,
        0.0223742,
        0.0223189,
        0.0221499,
        0.0247005,
        0.0262029,
        0.0234531,
        0.0222072,
        0.0222301,
        0.0222483,
        0.0223262,
        0.0232855,
        0.0242488,
        0.0236987,
        0.0234189,
        0.0239078,
        0.0242529,
        0.0248792,
        0.0255126,
        0.0261944,
        0.0273045,
        0.0280734,
        0.0292215,
        0.0307867,
        0.0323541,
        0.0343136,
        0.0368793,
        0.0402676,
        0.0459331,
        0.0512389,
        0.0529317,
        0.0540736,
        0.0563167,
        0.0601892,
        0.0655849,
        0.0727874,
        0.0843936,
        0.103386,
        0.135542,
        0.187162,
        0.183082,
        0.122951,
        0.0907022,
        0.0707491,
        0.0589398,
        0.0501568,
        0.0438188,
        0.0394578,
        0.0366969,
        0.0342298,
        0.0317945,
        0.0302279,
        0.0289462,
        0.0278476,
        0.027182,
        0.0272177,
        0.0261013,
        0.024984,
        0.0249789,
        0.0245374,
        0.0249559,
        0.025504,
        0.0243503,
        0.0233022,
        0.0230332,
        0.0225607,
        0.0220263,
        0.0218725,
        0.0217315,
        0.0217673,
        0.02195,
        0.0217159,
        0.0215092,
        0.0214916,
        0.0227167,
        0.0243447,
        0.0235816,
        0.0219759,
        0.0212186,
        0.0212803,
        0.0211511,
        0.0210683,
        0.0210871,
        0.0211342,
        0.0210752,
        0.0210719,
        0.0210954,
        0.0216375,
        0.0220663,
        0.0212866,
        0.0208281,
        0.0207496,
        0.0206285,
        0.020908,
        0.020683,
        0.0205109,
        0.0202405,
        0.0200826,
        0.0202501,
        0.0201386,
        0.020167,
        0.0199108,
        0.0199432,
        0.0197981,
        0.0198305,
        0.0196834,
        0.0198648,
        0.0200149,
        0.020224,
        0.0200218,
        0.0203177,
        0.0204417,
        0.0207835,
        0.0205986,
        0.0205222,
        0.0204413,
        0.0206734,
        0.0205082,
        0.0205848,
        0.0205005,
        0.020727,
        0.0209108,
        0.021137,
        0.0213203,
        0.0216537,
        0.0223102,
        0.0228732,
        0.0235519,
        0.024366,
        0.0247059,
        0.0245818,
        0.0239014,
        0.0232593,
        0.0231176,
        0.022808,
        0.0221144,
        0.0218234,
        0.021739,
        0.0222602,
        0.0216419,
        0.0209676,
        0.0206348,
        0.0206582,
        0.0205358,
        0.0203512,
        0.0203758,
        0.0202821,
        0.0203967,
        0.0202983,
        0.0201634,
        0.02018,
        0.01996,
        0.0199383,
        0.0200634,
        0.0198878,
        0.0198613,
        0.0200579,
        0.0200689,
        0.0199702,
        0.0201367,
        0.0200507,
        0.0199325,
        0.0203941,
        0.0200231,
        0.0193831,
        0.0193489,
        0.0191649,
        0.0190394,
        0.0192291,
        0.0191242,
        0.0192647,
        0.0193627,
        0.0192202,
        0.0191976,
        0.0192827,
        0.019397,
        0.0193904,
        0.0194599,
        0.0194253,
        0.0195265,
        0.0196293,
        0.019702,
        0.0196889,
        0.019777,
        0.0197886,
        0.0196765,
        0.0197042,
        0.0198463,
        0.019886,
        0.0198037,
        0.0196828,
        0.019858,
        0.0198546,
        0.0198888,
        0.0200573,
        0.0209841,
        0.0211221,
        0.0199736,
        0.019957,
        0.0199011,
        0.0197783,
        0.0199002,
        0.019933,
        0.0198873,
        0.0198469,
        0.0198898,
        0.0199966,
        0.0202159,
        0.0201068,
        0.0201466,
        0.020183,
        0.0200831,
        0.0200353,
        0.0200861,
        0.0200887,
        0.0202005,
        0.0202979,
        0.0203131,
        0.0202886,
        0.0204689,
        0.0205317,
        0.0207628,
        0.02086,
        0.0210799,
        0.0213604,
        0.0217815,
        0.0220781,
        0.0224731,
        0.0229183,
        0.0233043,
        0.0238276,
        0.0247687,
        0.0259125,
        0.0269997,
        0.0285827,
        0.0303632,
        0.0320036,
        0.0333472,
        0.0348824,
        0.0360928,
        0.0374136,
        0.0396003,
        0.0421419,
        0.0453746,
        0.0516995,
        0.0675428,
        0.0791413,
        0.0867717,
        0.114456,
        0.146827,
        0.201952,
        0.203915,
        0.150944,
        0.114547,
        0.0909584,
        0.0742049,
        0.0620047,
        0.0532136,
        0.0468446,
        0.0421476,
        0.0388433,
        0.0357037,
        0.0331456,
        0.0313647,
        0.0310921,
        0.0292842,
        0.0273095,
        0.0263065,
        0.0254482,
        0.0246166,
        0.0238607,
        0.0233832,
        0.0229907,
        0.0225249,
        0.0222422,
        0.021777,
        0.0213962,
        0.0212081,
        0.0209607,
        0.020748,
        0.0205794,
        0.0204086,
        0.0204297,
        0.0204324,
        0.020374,
        0.0203699,
        0.0203739,
        0.020072,
        0.0197863,
        0.0196257,
        0.0195719,
        0.0196385,
        0.0195236,
        0.0194774,
        0.0194703,
        0.0193883,
        0.0193131,
        0.0195251,
        0.0195881,
        0.0196662,
        0.0196283,
        0.0194061,
        0.0194731,
        0.0194864,
        0.0194529,
        0.0194355,
        0.0191306,
        0.0191085,
        0.0191104,
        0.0189658,
        0.0189299,
        0.0187571,
        0.0187965,
        0.0186921,
        0.0187233,
        0.0186911,
        0.0186034,
        0.0186331,
        0.0185638,
        0.0184551,
        0.0184817,
        0.0185121,
        0.0185047,
        0.0182526,
        0.0182389,
        0.0183702,
        0.0183243,
        0.0182005,
        0.0182219,
        0.0183825,
        0.0183713,
        0.0182043,
        0.0181606,
        0.0183492,
        0.0181568,
        0.0181671,
        0.0184391,
        0.0184889,
        0.0193943,
        0.0200299,
        0.0201198,
        0.0203909,
        0.0209018,
        0.0207939,
        0.0202134,
        0.0197797,
        0.0193236,
        0.0189139,
        0.0189991,
        0.0186329,
        0.0184097,
        0.0184139,
        0.0182466,
        0.0183442,
        0.0185735,
        0.0186925,
        0.0198834,
        0.0192951,
        0.0186536,
        0.0187167,
        0.0185358,
        0.018508,
        0.0184545,
        0.018454,
        0.018942,
        0.0213364,
        0.0212337,
        0.018719,
        0.0188526,
        0.0202796,
        0.0193798,
        0.0187896,
        0.0189512,
        0.0188737,
        0.0188647,
        0.0187534,
        0.0189078,
        0.0189188,
        0.0190858,
        0.0190894,
        0.0193399,
        0.0195909,
        0.0196019,
        0.0198004,
        0.0199394,
        0.0203543,
        0.0218198,
        0.0221554,
        0.0213324,
        0.0217722,
        0.0224437,
        0.0233016,
        0.0241509,
        0.0252728,
        0.0258476,
        0.0267486,
        0.0289617,
        0.0294371,
        0.0289667,
        0.0285872,
        0.0262477,
        0.025697,
        0.0249238,
        0.0244461,
        0.0238529,
        0.023071,
        0.0230186,
        0.0227778,
        0.0226646,
        0.0225251,
        0.0227216,
        0.0227542,
        0.0234439,
        0.0239037,
        0.0240128,
        0.024367,
        0.0246111,
        0.0254487,
        0.026334,
        0.0271735,
        0.0286088,
        0.0301027,
        0.0322004,
        0.0344904,
        0.0376055,
        0.043006,
        0.0541519,
        0.0624894,
        0.0699975,
        0.0896109,
        0.123336,
        0.177243,
        0.178478,
        0.123419,
        0.0879268,
        0.0688356,
        0.0566601,
        0.0473682,
        0.0407023,
        0.0364016,
        0.0336993,
        0.0309376,
        0.0286574,
        0.0277546,
        0.0268052,
        0.0261799,
        0.0258816,
        0.0255163,
        0.0252903,
        0.0250971,
        0.0251672,
        0.0258555,
        0.0251861,
        0.0226099,
        0.02179,
        0.0211906,
        0.0205981,
        0.0205233,
        0.020171,
        0.019731,
        0.0192799,
        0.0192103,
        0.0190395,
        0.0188555,
        0.0187496,
        0.0188942,
        0.0189616,
        0.018843,
        0.0186089,
        0.0186559,
        0.0186746,
        0.0186533,
        0.0186463,
        0.0185307,
        0.0186448,
        0.0186431,
        0.0187126,
        0.0188381,
        0.0188752,
        0.018959,
        0.018882,
        0.0188822,
        0.0189857,
        0.0193631,
        0.0195771,
        0.0194598,
        0.0194111,
        0.0193122,
        0.0190554,
        0.0188801,
        0.0186983,
        0.0186414,
        0.0184649,
        0.0193976,
        0.0197058,
        0.0193865,
        0.0198605,
        0.0192426,
        0.0177134,
        0.0176406,
        0.0176145,
        0.0175091,
        0.0175819,
        0.0174998,
        0.0175896,
        0.0175936,
        0.0173823,
        0.0171349,
        0.0171065,
        0.0176973,
        0.0174156,
        0.017335,
        0.0173262,
        0.0172332,
        0.0172398,
        0.0172265,
        0.0173235,
        0.0173312,
        0.0174084,
        0.0176251,
        0.0177833,
        0.0191591,
        0.0188667,
        0.0178774,
        0.0179252,
        0.0180197,
        0.0181105,
        0.018172,
        0.0182867,
        0.0184912,
        0.0184882,
        0.0184457,
        0.0185473,
        0.0184608,
        0.0184253,
        0.0183429,
        0.0183319,
        0.0183,
        0.018252,
        0.0183244,
        0.018511,
        0.0185462,
        0.0183901,
        0.0184157,
        0.0183957,
        0.0184587,
        0.0183626,
        0.0183908,
        0.0184611,
        0.0187737,
        0.0183947,
        0.0184291,
        0.018534,
        0.0183718,
        0.0199649,
        0.019428,
        0.0182566,
        0.0183584,
        0.0185176,
        0.0187454,
        0.0191696,
        0.0197492,
        0.0220815,
        0.0212665,
        0.02035,
        0.0202052,
        0.0207469,
        0.0195397,
        0.0188015,
        0.0185372,
        0.0183602,
        0.0191924,
        0.0206939,
        0.0191783,
        0.0181402,
        0.0182491,
        0.0185875,
        0.0185343,
        0.018521,
        0.0184981,
        0.0183189,
        0.0182791,
        0.0182981,
        0.0183899,
        0.0184754,
        0.0184683,
        0.0185461,
        0.0186503,
        0.0187515,
        0.0187806,
        0.01886,
        0.0187613,
        0.018871,
        0.0188719,
        0.0189408,
        0.0188459,
        0.018877,
        0.0190969,
        0.0190832,
        0.0190124,
        0.0190654,
        0.0190929,
        0.0191582,
        0.0191106,
        0.0190458,
        0.018994,
        0.0192029,
        0.0194167,
        0.0195076,
        0.0193209,
        0.019621,
        0.0198041,
        0.0196119,
        0.0195587,
        0.0198337,
        0.019863,
        0.0202074,
        0.020721,
        0.0210037,
        0.0212411,
        0.0214666,
        0.0216644,
        0.0213837,
        0.0210446,
        0.0205977,
        0.0199614,
        0.0195507,
        0.0192099,
        0.0190936,
        0.0188532,
        0.0187454,
        0.0189695,
        0.0187163,
        0.0185432,
        0.0186787,
        0.0185366,
        0.0183992,
        0.0186227,
        0.0186731,
        0.0189191,
        0.0188931,
        0.0184331,
        0.0183521,
        0.0184647,
        0.0184952,
        0.018681,
        0.0192036,
        0.0194665,
        0.0190341,
        0.0185459,
        0.0184689,
        0.0193179,
        0.0200019,
        0.0193923,
        0.0188271,
        0.0187161,
        0.0187275,
        0.0186562,
        0.0187415,
        0.0192566,
        0.0193192,
        0.0189847,
        0.0185364,
        0.0186045,
        0.0186636,
        0.0188572,
        0.0188028,
        0.0187352,
        0.0189603,
        0.0188543,
        0.0188446,
        0.0188565,
        0.0190943,
        0.0193126,
        0.019954,
        0.020753,
        0.0206036,
        0.0206461,
        0.0213866,
        0.0211776,
        0.0207246,
        0.0202778,
        0.0198571,
        0.0193876,
        0.0190898,
        0.018993,
        0.0187708,
        0.0188575,
        0.0189507,
        0.0190024,
        0.0190224,
        0.0190348,
        0.0193372,
        0.0194131,
        0.0196355,
        0.0212889,
        0.0233903,
        0.0215493,
        0.0210236,
        0.0223296,
        0.0238972,
        0.0236746,
        0.0239692,
        0.0252254,
        0.0264357,
        0.0278097,
        0.0300559,
        0.0324275,
        0.0315687,
        0.0295414,
        0.0285907,
        0.0274777,
        0.026444,
        0.0251235,
        0.0245126,
        0.0239528,
        0.0236597,
        0.0234429,
        0.0231083,
        0.0234532,
        0.0245389,
        0.0252302,
        0.0251456,
        0.0246844,
        0.0248781,
        0.0251357,
        0.0252646,
        0.0250864,
        0.024578,
        0.023899,
        0.0234043,
        0.0228612,
        0.0222907,
        0.0216559,
        0.0224126,
        0.0232603,
        0.0212255,
        0.0202317,
        0.019898,
        0.0204559,
        0.0207219,
        0.0196755,
        0.0192875,
        0.0191223,
        0.0189533,
        0.0189637,
        0.0190019,
        0.0190109,
        0.0190682,
        0.0188759,
        0.0187231,
        0.0185575,
        0.0185949,
        0.018691,
        0.0187214,
        0.0185511,
        0.0184709,
        0.0181914,
        0.0185739,
        0.0185402,
        0.0186239,
        0.0187793,
        0.0186152,
        0.018712,
        0.0187387,
        0.0187703,
        0.019145,
        0.0194041,
        0.0193458,
        0.0191487,
        0.0193466,
        0.0193044,
        0.0197003,
        0.0201247,
        0.0200966,
        0.0198555,
        0.0198907,
        0.0201749,
        0.0206467,
        0.0215094,
        0.0213699,
        0.020659,
        0.0206603,
        0.0206655,
        0.0209027,
        0.0211362,
        0.0212979,
        0.0212841,
        0.0215751,
        0.0219004,
        0.0222172,
        0.0229184,
        0.0235394,
        0.0241027,
        0.0245469,
        0.0254692,
        0.0262557,
        0.0268842,
        0.0274051,
        0.0278793,
        0.0286853,
        0.0298024,
        0.0309058,
        0.0327255,
        0.0347725,
        0.0375618,
        0.0416807,
        0.0469861,
        0.0538491,
        0.0623889,
        0.0754572,
        0.0905169,
        0.110967,
        0.134041,
        0.151574,
        0.145196,
        0.130125,
        0.11081,
        0.0893603,
        0.074222,
        0.0646011,
        0.0535729,
        0.046513,
        0.0417314,
        0.038088,
        0.0353154,
        0.0330566,
        0.0315654,
        0.0301464,
        0.0290164,
        0.0284677,
        0.0281101,
        0.0278279,
        0.0274099,
        0.0278173,
        0.0276761,
        0.02794,
        0.0284477,
        0.0288893,
        0.0293611,
        0.0301915,
        0.031321,
        0.032956,
        0.0350774,
        0.0385127,
        0.0429006,
        0.0489212,
        0.0579786,
        0.0720439,
        0.0906815,
        0.109945,
        0.122681,
        0.115021,
        0.0938016,
        0.0717904,
        0.0557338,
        0.0459852,
        0.0396178,
        0.0349171,
        0.03124,
        0.0287387,
        0.0268551,
        0.0256291,
        0.0250568,
        0.0258199,
        0.0249545,
        0.0225762,
        0.0211425,
        0.0205471,
        0.0202241,
        0.0210134,
        0.0215789,
        0.0203227,
        0.019378,
        0.0191057,
        0.0199312,
        0.0200929,
        0.0188355,
        0.0182646,
        0.0182155,
        0.0182144,
        0.0181947,
        0.0181677,
        0.0180953,
        0.0180635,
        0.0180769,
        0.0178409,
        0.0180869,
        0.0182104,
        0.0179104,
        0.0177905,
        0.0177126,
        0.0176826,
        0.0176758,
        0.0177028,
        0.0176376,
        0.0176214,
        0.0177735,
        0.0178159,
        0.0176906,
        0.0178123,
        0.0177775,
        0.0177791,
        0.0179545,
        0.0179991,
        0.0179368,
        0.0179926,
        0.0182214,
        0.0181646,
        0.017942,
        0.0179972,
        0.0183129,
        0.018513,
        0.0186221,
        0.0187596,
        0.0209335,
        0.0218784,
        0.0194654,
        0.0184521,
        0.0184275,
        0.0181524,
        0.0179141,
        0.0175921,
        0.0174318,
        0.0172688,
        0.0171398,
        0.0171684,
        0.0169385,
        0.0168845,
        0.0182764,
        0.0194055,
        0.017445,
        0.0167811,
        0.0168356,
        0.0167852,
        0.0168672,
        0.0171456,
        0.0169781,
        0.0168398,
        0.0168922,
        0.0170286,
        0.0171714,
        0.017213,
        0.0171604,
        0.0172022,
        0.0172153,
        0.0172569,
        0.0173005,
        0.0173508,
        0.0174169,
        0.0175346,
        0.0178058,
        0.0179086,
        0.0178853,
        0.017893,
        0.0190032,
        0.0209109,
        0.0189091,
        0.0178964,
        0.0180492,
        0.018271,
        0.0186274,
        0.0184692,
        0.0181196,
        0.0183663,
        0.0182978,
        0.0183212,
        0.0184407,
        0.0185839,
        0.0185046,
        0.0184728,
        0.0184849,
        0.0184225,
        0.0186074,
        0.018366,
        0.0183027,
        0.0190027,
        0.0194876,
        0.0188085,
        0.0183042,
        0.0183518,
        0.0182179,
        0.0189829,
        0.0196668,
        0.0191769,
        0.0182928,
        0.0184493,
        0.0184916,
        0.0187837,
        0.0188049,
        0.0191016,
        0.0190556,
        0.0191952,
        0.0193523,
        0.0196782,
        0.0197115,
        0.0199723,
        0.0202301,
        0.020688,
        0.0209918,
        0.0213962,
        0.0219657,
        0.0227194,
        0.0235438,
        0.0249617,
        0.0254823,
        0.0261825,
        0.027384,
        0.028103,
        0.0292118,
        0.0303274,
        0.0313807,
        0.0321453,
        0.032616,
        0.0328426,
        0.033192,
        0.0336589,
        0.0342608,
        0.0359093,
        0.0375438,
        0.0388521,
        0.0413446,
        0.0435162,
        0.0469593,
        0.0519564,
        0.057485,
        0.0655401,
        0.0783566,
        0.09454,
        0.117057,
        0.147574,
        0.19522,
        0.241611,
        0.165463,
        0.120099,
        0.0969465,
        0.0781897,
        0.067518,
        0.0613881,
        0.0525458,
        0.0451013,
        0.0409997,
        0.0375039,
        0.0346615,
        0.0330858,
        0.0311579,
        0.0295594,
        0.0285099,
        0.0280653,
        0.026797,
        0.0253501,
        0.0249694,
        0.0244351,
        0.0235881,
        0.0228752,
        0.0224902,
        0.0244773,
        0.0254933,
        0.0225753,
        0.0213254,
        0.0213223,
        0.0213683,
        0.0212887,
        0.0210126,
        0.0208531,
        0.0208307,
        0.0212546,
        0.0209706,
        0.0202132,
        0.0199781,
        0.0198494,
        0.0198212,
        0.0197295,
        0.01991,
        0.0199016,
        0.019886,
        0.0198399,
        0.0199183,
        0.0200351,
        0.0197986,
        0.0196635,
        0.0195551,
        0.0197016,
        0.0197691,
        0.0197555,
        0.0196922,
        0.0198484,
        0.0196459,
        0.0199055,
        0.0202422,
        0.020639,
        0.022556,
        0.022581,
        0.0214643,
        0.0211323,
        0.0214828,
        0.0220232,
        0.0225973,
        0.0231588,
        0.0240233,
        0.0253893,
        0.0265533,
        0.0274086,
        0.0285805,
        0.029547,
        0.0298907,
        0.0300996,
        0.0295578,
        0.0287065,
        0.0278106,
        0.0265771,
        0.0252673,
        0.0243151,
        0.0235198,
        0.0229899,
        0.0227312,
        0.0223564,
        0.0219838,
        0.0214725,
        0.0210572,
        0.0206708,
        0.020322,
        0.0200076,
        0.0196074,
        0.0192162,
        0.0190196,
        0.0189684,
        0.0188559,
        0.0188737,
        0.0189235,
        0.0188108,
        0.0191885,
        0.019466,
        0.0186959,
        0.0184043,
        0.0184181,
        0.018389,
        0.0182954,
        0.0183749,
        0.0182433,
        0.0181478,
        0.0184207,
        0.0183659,
        0.0184451,
        0.0187219,
        0.0189395,
        0.0190309,
        0.0190108,
        0.0190351,
        0.0190547,
        0.0191412,
        0.0194371,
        0.0196657,
        0.0196326,
        0.0194353,
        0.0191961,
        0.0190999,
        0.0189346,
        0.0186839,
        0.018422,
        0.0181675,
        0.0178598,
        0.0177636,
        0.0175433,
        0.0176999,
        0.017477,
        0.0173893,
        0.017285,
        0.0175674,
        0.0176954,
        0.0176613,
        0.0174839,
        0.0173507,
        0.0173216,
        0.0172844,
        0.0173613,
        0.0181751,
        0.0186557,
        0.0179396,
        0.0176801,
        0.0178332,
        0.0179085,
        0.0191131,
        0.0193006,
        0.0183976,
        0.0177962,
        0.017824,
        0.0180779,
        0.0181236,
        0.0182347,
        0.0183582,
        0.018539,
        0.0187216,
        0.0189969,
        0.0195318,
        0.0198701,
        0.0216415,
        0.0236683,
        0.0230779,
        0.0207393,
        0.0196415,
        0.0191279,
        0.0188205,
        0.0187281,
        0.0185684,
        0.018665,
        0.0187074,
        0.0185554,
        0.0184483,
        0.018353,
        0.018527,
        0.0186119,
        0.0187041,
        0.0186125,
        0.0186128,
        0.0187791,
        0.0186959,
        0.0187345,
        0.0188097,
        0.0189443,
        0.0187368,
        0.0187023,
        0.0185957,
        0.0186795,
        0.0185292,
        0.0184473,
        0.0182299,
        0.018244,
        0.0182758,
        0.0180677,
        0.0178059,
        0.0179427,
        0.0180522,
        0.0180432,
        0.0180481,
        0.0180809,
        0.0180203,
        0.0179418,
        0.0191434,
        0.0201766,
        0.0189227,
        0.0180793,
        0.0181842,
        0.0182739,
        0.0182081,
        0.0182524,
        0.0182471,
        0.0198276,
        0.0211997,
        0.0195717,
        0.0184444,
        0.0185428,
        0.0185795,
        0.0186682,
        0.0187943,
        0.0188635,
        0.0189401,
        0.0192234,
        0.0192906,
        0.0194663,
        0.0192807,
        0.0192328,
        0.0194281,
        0.0195168,
        0.0195045,
        0.0198604,
        0.0198757,
        0.0196683,
        0.0197905,
        0.0195899,
        0.0199071,
        0.0200335,
        0.0201303,
        0.020092,
        0.0201333,
        0.02046,
        0.0205532,
        0.0209189,
        0.0208971,
        0.0208133,
        0.0209161,
        0.0206137,
        0.0204954,
        0.0203824,
        0.0202226,
        0.0197346,
        0.0194855,
        0.0204031,
        0.0205385,
        0.0199876,
        0.0193949,
        0.0195908,
        0.0194889,
        0.0195535,
        0.0193678,
        0.0194117,
        0.0192831,
        0.0190719,
        0.0191643,
        0.0190365,
        0.019286,
        0.0193772,
        0.0195405,
        0.0191867,
        0.019372,
        0.0193883,
        0.0195536,
        0.0195431,
        0.0195397,
        0.0196233,
        0.0194799,
        0.0198585,
        0.0198053,
        0.0195464,
        0.0195416,
        0.02045,
        0.0205315,
        0.0198628,
        0.0202437,
        0.0200392,
        0.0199267,
        0.0199682,
        0.0199414,
        0.0197902,
        0.0197298,
        0.0201935,
        0.0199636,
        0.0200197,
        0.0199654,
        0.0201536,
        0.0199473,
        0.0199721,
        0.0203164,
        0.0207184,
        0.0220905,
        0.0210498,
        0.0205451,
        0.020222,
        0.0203533,
        0.0202578,
        0.0201096,
        0.0204086,
        0.0200756,
        0.0199307,
        0.0201588,
        0.0216756,
        0.021377,
        0.0221927,
        0.0217718,
        0.0200526,
        0.01973,
        0.0194707,
        0.0196165,
        0.0192895,
        0.0192425,
        0.019444,
        0.0194632,
        0.0196236,
        0.0194989,
        0.0195623,
        0.0194668,
        0.0194646,
        0.0194289,
        0.0194895,
        0.0219262,
        0.0213785,
        0.0191801,
        0.0194022,
        0.0194399,
        0.019418,
        0.0192704,
        0.0194451,
        0.0192288,
        0.0191769,
        0.0194076,
        0.0193015,
        0.0194763,
        0.0196286,
        0.0196857,
        0.0197557,
        0.0199091,
        0.0202122,
        0.0204143,
        0.0206264,
        0.0202825,
        0.0202101,
        0.0203052,
        0.0203021,
        0.020409,
        0.0207767,
        0.0208461,
        0.0206716,
        0.020857,
        0.0211658,
        0.0212672,
        0.0213178,
        0.021482,
        0.0218626,
        0.0226808,
        0.022861,
        0.0230353,
        0.0236371,
        0.0246031,
        0.0248389,
        0.0251306,
        0.0258151,
        0.0265365,
        0.0271657,
        0.0273245,
        0.0268985,
        0.0263841,
        0.0255195,
        0.0250186,
        0.0242196,
        0.0234044,
        0.0225142,
        0.0220011,
        0.021608,
        0.0212357,
        0.0209151,
        0.0206389,
        0.0204783,
        0.0202652,
        0.0203021,
        0.0197578,
        0.0195227,
        0.0193406,
        0.0190752,
        0.0192521,
        0.0191976,
        0.0192262,
        0.0194245,
        0.0191231,
        0.0189514,
        0.0190487,
        0.019116,
        0.0189189,
        0.0199327,
        0.0197622,
        0.0194143,
        0.0192794,
        0.019283,
        0.0195283,
        0.0213054,
        0.0199536,
        0.0189319,
        0.0189984,
        0.0191245,
        0.0192075,
        0.0193258,
        0.0193381,
        0.0193976,
        0.0195411,
        0.0198336,
        0.0196449,
        0.0193441,
        0.0194715,
        0.0195149,
        0.0195188,
        0.0194806,
        0.0198464,
        0.0196281,
        0.0197411,
        0.019852,
        0.0196941,
        0.0196526,
        0.0197199,
        0.0199337,
        0.0198684,
        0.0198338,
        0.0197929,
        0.0197171,
        0.0195619,
        0.0207317,
        0.0198398,
        0.0193803,
        0.0194256,
        0.0194704,
        0.0194357,
        0.0194758,
        0.0197089,
        0.0195241,
        0.0193336,
        0.0194953,
        0.0197287,
        0.0197267,
        0.0198674,
        0.0197931,
        0.0200497,
        0.020334,
        0.0205121,
        0.0208569,
        0.0210826,
        0.0211531,
        0.0213467,
        0.0213055,
        0.0214937,
        0.0217448,
        0.0218215,
        0.0214916,
        0.0211925,
        0.0210498,
        0.0210273,
        0.0208362,
        0.0207859,
        0.0207959,
        0.0206898,
        0.0207321,
        0.0206106,
        0.0205297,
        0.0204575,
        0.0206284,
        0.0207075,
        0.0206955,
        0.0207446,
        0.020856,
        0.0207971,
        0.0209932,
        0.0209554,
        0.0209045,
        0.0210919,
        0.0210921,
        0.0210727,
        0.0208666,
        0.0210767,
        0.0210874,
        0.0211999,
        0.0214335,
        0.0213767,
        0.0213982,
        0.021463,
        0.0218618,
        0.0223501,
        0.0222301,
        0.0223471,
        0.0221961,
        0.022061,
        0.0221948,
        0.0222523,
        0.0287269,
        0.0275844,
        0.0219229,
        0.0218198,
        0.0213889,
        0.0211479,
        0.021161,
        0.021033,
        0.0210963,
        0.0210496,
        0.0208678,
        0.0208603,
        0.0213147,
        0.0214252,
        0.0211377,
        0.0211778,
        0.021207,
        0.0212579,
        0.0219751,
        0.0230148,
        0.0224327,
        0.0243123,
        0.0242714,
        0.0219841,
        0.0221806,
        0.0220421,
        0.0222233,
        0.0222641,
        0.0227376,
        0.0227932,
        0.0224102,
        0.0226281,
        0.0228144,
        0.0229959,
        0.0235336,
        0.0245425,
        0.0241194,
        0.0245195,
        0.0249342,
        0.0255481,
        0.0259261,
        0.0259036,
        0.0259232,
        0.0259734,
        0.0258503,
        0.0253596,
        0.0251735,
        0.0248709,
        0.0247689,
        0.0246311,
        0.0246236,
        0.0246635,
        0.0247544,
        0.0245322,
        0.02466,
        0.0248148,
        0.0249387,
        0.0248891,
        0.0252874,
        0.0250218,
        0.0244084,
        0.0242566,
        0.024236,
        0.0238751,
        0.0239573,
        0.0237669,
        0.0236148,
        0.0234387,
        0.0231612,
        0.0232144,
        0.0229016,
        0.022698,
        0.0226141,
        0.0228296,
        0.0229574,
        0.0225892,
        0.022701,
        0.0224999,
        0.0224447,
        0.0223659,
        0.0224111,
        0.022536,
        0.0222334,
        0.0221147,
        0.0220832,
        0.0219925,
        0.0218546,
        0.0220791,
        0.021934,
        0.021893,
        0.0219516,
        0.0220317,
        0.0219082,
        0.0219289,
        0.0219806,
        0.022021,
        0.0223811,
        0.0232017,
        0.0253115,
        0.0243536,
        0.0226717,
        0.0224681,
        0.0225163,
        0.0224445,
        0.0227893,
        0.0229411,
        0.0229943,
        0.0231453,
        0.0230557,
        0.0233091,
        0.0230386,
        0.023038,
        0.0231047,
        0.0231875,
        0.0231073,
        0.0233178,
        0.0233516,
        0.0234991,
        0.0234141,
        0.0232308,
        0.0231579,
        0.0231997,
        0.0231657,
        0.0231602,
        0.023296,
        0.0235636,
        0.0233585,
        0.02384,
        0.0255193,
        0.025639,
        0.0241272,
        0.0245257,
        0.0242218,
        0.02417,
        0.0236816,
        0.0233129,
        0.0233265,
        0.0235144,
        0.0238782,
        0.0241301,
        0.0238066,
        0.0236636,
        0.0239237,
        0.0241045,
        0.0241446,
        0.0244737,
        0.0249739,
        0.0251759,
        0.0254015,
        0.0259989,
        0.0261732,
        0.0265303,
        0.0267518,
        0.0271416,
        0.027296,
        0.0280629,
        0.0291792,
        0.0298899,
        0.0302463,
        0.0312031,
        0.0332051,
        0.0358224,
        0.0387533,
        0.0422405,
        0.0454686,
        0.0462956,
        0.0454569,
        0.0431217,
        0.0402514,
        0.0381624,
        0.0363309,
        0.0346273,
        0.0334525,
        0.0326641,
        0.0324134,
        0.0319004,
        0.0316534,
        0.0313735,
        0.0317551,
        0.0316732,
        0.0321522,
        0.0321091,
        0.0325075,
        0.0331529,
        0.0338099,
        0.0346844,
        0.0351322,
        0.0367132,
        0.0397784,
        0.0425762,
        0.0410006,
        0.0403062,
        0.04247,
        0.0443622,
        0.0475394,
        0.0502457,
        0.0590869,
        0.0651779,
        0.0655357,
        0.0740843,
        0.085186,
        0.101295,
        0.126941,
        0.176883,
        0.235876,
        0.246868,
        0.249289,
        0.281205,
        0.158797,
        0.134998,
        0.106807,
        0.0937034,
        0.0839124,
        0.0751572,
        0.0675132,
        0.0624133,
        0.0614565,
        0.0595065,
        0.0516937,
        0.0491964,
        0.0460163,
        0.0442442,
        0.0440841,
        0.0422495,
        0.0414127,
        0.0403969,
        0.0395016,
        0.0383587,
        0.0373604,
        0.0364608,
        0.0358294,
        0.03474,
        0.0347018,
        0.0339154,
        0.0326216,
        0.0320873,
        0.0319484,
        0.0314417,
        0.0311793,
        0.0308216,
        0.0305654,
        0.0300117,
        0.0300756,
        0.0296863,
        0.0298355,
        0.0296167,
        0.0292154,
        0.0286141,
        0.0277399,
        0.0276232,
        0.0275147,
        0.0272461,
        0.0273413,
        0.0271226,
        0.0267382,
        0.0266715,
        0.0264959,
        0.026459,
        0.0266077,
        0.0266102,
        0.0264901,
        0.0267283,
        0.0268711,
        0.0267027,
        0.0276645,
        0.0281039,
        0.0271802,
        0.0271539,
        0.0264446,
        0.0266182,
        0.0264924,
        0.0266523,
        0.0272006,
        0.0274717,
        0.0277592,
        0.0279823,
        0.0277751,
        0.0275576,
        0.0275755,
        0.0279576,
        0.0290182,
        0.0289887,
        0.0299108,
        0.0309743,
        0.0288359,
        0.0287285,
        0.0291063,
        0.0292684,
        0.030795,
        0.0304906,
        0.0302087,
        0.0308386,
        0.0296237,
        0.0305807,
        0.0303378,
        0.0306718,
        0.0303741,
        0.0302309,
        0.0304176,
        0.03048,
        0.0307639,
        0.0313149,
        0.0312756,
        0.031216,
        0.0311382,
        0.0312358,
        0.0314303,
        0.0316654,
        0.0332197,
        0.0325086,
        0.03202,
        0.0347083,
        0.0336398,
        0.030713,
        0.0310121,
        0.0311719,
        0.0313092,
        0.0316038,
        0.0312132,
        0.0313589,
        0.0318518,
        0.0322349,
        0.0328624,
        0.0324286,
        0.033275,
        0.0334135,
        0.03414,
        0.0351315,
        0.0375343,
        0.0390719,
        0.0394572,
        0.0424268,
        0.0473753,
        null,
        0.0511549,
        0.049597,
        0.0471315,
        0.0439695,
        0.0411914,
        0.0386236,
        0.0361958,
        0.0344773,
        0.0330782,
        0.0321015,
        0.0312791,
        0.0306461,
        0.0302019,
        0.0297938,
        0.0295408,
        0.0293839,
        0.0291863,
        0.0291856,
        0.0295153,
        0.0296369,
        0.0311024,
        0.0319901,
        0.0307182,
        0.030307,
        0.030516,
        0.0309299,
        0.0313173,
        0.03177,
        0.0323487,
        0.0332477,
        0.0339737,
        0.0345858,
        0.0355493,
        0.0367074,
        0.0379374,
        0.0392143,
        0.0410034,
        0.0425114,
        0.0445073,
        0.0475364,
        0.0503811,
        0.0537124,
        0.0593143,
        0.0667971,
        0.0746013,
        0.0854533,
        0.0998986,
        0.122604,
        0.156421,
        0.213545,
        0.230797,
        0.170607,
        0.133137,
        0.110662,
        0.0950763,
        0.082655,
        0.0728914,
        0.0660182,
        0.0612064,
        0.0598903,
        0.0534034,
        0.0467358,
        0.044469,
        0.0421741,
        0.0406041,
        0.0388072,
        0.0372864,
        0.0359787,
        0.0348364,
        0.0338741,
        0.0328669,
        0.033106,
        0.0339564,
        0.0323158,
        0.0309361,
        0.0304746,
        0.0300784,
        0.0306939,
        0.030677,
        0.0302421,
        0.0294877,
        0.0294216,
        0.0293278,
        0.0291949,
        0.0293373,
        0.0295761,
        0.0298237,
        0.0300429,
        0.0302897,
        0.0306737,
        0.0317095,
        0.0327828,
        0.0339869,
        0.0354014,
        0.0370865,
        0.0393597,
        0.0429807,
        0.047708,
        0.0534376,
        0.0622528,
        0.0756533,
        0.0972322,
        0.134217,
        0.188315,
        0.206875,
        0.13989,
        0.102892,
        0.0802484,
        0.0653436,
        0.0558806,
        0.0488752,
        0.0439681,
        0.0396875,
        0.0364474,
        0.0344686,
        0.0328737,
        0.0310067,
        0.029921,
        0.0291859,
        0.0283498,
        0.0276078,
        0.0267977,
        0.0262505,
        0.0257656,
        0.0254595,
        0.0250802,
        0.0246826,
        0.0244113,
        0.0241831,
        0.0238654,
        0.0235226,
        0.022956,
        0.0226496,
        0.0223762,
        0.022193,
        0.0222398,
        0.0222916,
        0.021954,
        0.021795,
        0.0217092,
        0.0216024,
        0.0217719,
        0.0217065,
        0.0212968,
        0.021055,
        0.02109,
        0.0210044,
        0.0209372,
        0.0208417,
        0.0208779,
        0.0210064,
        0.0210849,
        0.0209364,
        0.0208979,
        0.0212016,
        0.0210479,
        0.0208207,
        0.0207957,
        0.0207316,
        0.0207868,
        0.0209409,
        0.0210703,
        0.0210835,
        0.0210711,
        0.0213151,
        0.0213925,
        0.0214693,
        0.0213541,
        0.0212715,
        0.0213791,
        0.0226112,
        0.0244613,
        0.0232574,
        0.0216612,
        0.0214039,
        0.0213611,
        0.0212965,
        0.0212452,
        0.0223438,
        0.0236932,
        0.0223076,
        0.0212097,
        0.0216144,
        0.0217968,
        0.0211829,
        0.0211848,
        0.0214124,
        0.0209843,
        0.0205941,
        0.0205107,
        0.02043,
        0.0205568,
        0.0204827,
        0.0204304,
        0.0203857,
        0.0203455,
        0.0202218,
        0.0200968,
        0.0200888,
        0.0201563,
        0.0201186,
        0.0200802,
        0.0201917,
        0.0204291,
        0.0205838,
        0.0206038,
        0.0206293,
        0.0205836,
        0.0204548,
        0.0204166,
        0.0203393,
        0.0203118,
        0.0204237,
        0.0206743,
        0.0210405,
        0.0215819,
        0.0256419,
        0.0240808,
        0.0217812,
        0.022108,
        0.0221033,
        0.0218879,
        0.0215635,
        0.0213004,
        0.0211725,
        0.021058,
        0.0210441,
        0.0211888,
        0.021683,
        0.0221153,
        0.0223809,
        0.0226819,
        0.0230202,
        0.0229717,
        0.0229642,
        0.0228669,
        0.0227648,
        0.0222972,
        0.0214818,
        0.0210424,
        0.0209144,
        0.0232534,
        0.0225085,
        0.0203569,
        0.019759,
        0.0196188,
        0.0195169,
        0.0192944,
        0.0192599,
        0.0193346,
        0.0193118,
        0.0191528,
        0.0191719,
        0.0191174,
        0.0190188,
        0.0188759,
        0.0189756,
        0.0190474,
        0.0189608,
        0.0186388,
        0.0187372,
        0.0188672,
        0.0187151,
        0.0186951,
        0.0187788,
        0.01863,
        0.0186537,
        0.0187525,
        0.0187284,
        0.0188857,
        0.0189207,
        0.0190139,
        0.0190743,
        0.0191523,
        0.0190928,
        0.0190061,
        0.0188719,
        0.0185787,
        0.0187185,
        0.018681,
        0.0188798,
        0.0190097,
        0.0190041,
        0.0188586,
        0.0189712,
        0.0191359,
        0.0189734,
        0.0191733,
        0.0192802,
        0.0194211,
        0.0196086,
        0.0193393,
        0.0192072,
        0.018908,
        0.0190703,
        0.0203764,
        0.020334,
        0.0205067,
        0.020154,
        0.0186609,
        0.0185576,
        0.0186508,
        0.0186573,
        0.0185299,
        0.0185797,
        0.0184839,
        0.0187253,
        0.018499,
        0.018823,
        0.0215531,
        0.0213493,
        0.0181177,
        0.0180285,
        0.0180606,
        0.0179602,
        0.0182352,
        0.0183982,
        0.0187801,
        0.0189271,
        0.0189428,
        0.0185547,
        0.0185271,
        0.0183751,
        0.0183994,
        0.0182835,
        0.018211,
        0.0180805,
        0.0179656,
        0.0180965,
        0.0180695,
        0.0183036,
        0.0184537,
        0.0184276,
        0.018351,
        0.0187926,
        0.0187746,
        0.018508,
        0.018491,
        0.0183966,
        0.0184271,
        0.0182756,
        0.0182417,
        0.0181067,
        0.018345,
        0.0182656,
        0.0182525,
        0.0184164,
        0.0182467,
        0.0184114,
        0.0184986,
        0.0185607,
        0.0187596,
        0.0188597,
        0.0195779,
        0.0195775,
        0.019241,
        0.019604,
        0.0194575,
        0.0194406,
        0.0219674,
        0.0211531,
        0.0180281,
        0.0180578,
        0.0183971,
        0.0208066,
        0.0203988,
        0.0177583,
        0.0177472,
        0.0178328,
        0.0178308,
        0.0179396,
        0.0181338,
        0.0185097,
        0.0186957,
        0.018829,
        0.0186005,
        0.018076,
        0.0180221,
        0.0183296,
        0.0184745,
        0.0181433,
        0.0181296,
        0.0180198,
        0.0179961,
        0.0181371,
        0.0183204,
        0.0187276,
        0.019262,
        0.0194689,
        0.0193605,
        0.0191228,
        0.0191237,
        0.0186826,
        0.0182936,
        0.01829,
        0.0183354,
        0.0187335,
        0.0187894,
        0.0184673,
        0.0184421,
        0.0184396,
        0.0185558,
        0.0186584,
        0.0187431,
        0.0186619,
        0.0184798,
        0.0185974,
        0.0185721,
        0.0185444,
        0.0186219,
        0.0186763,
        0.0186236,
        0.018456,
        0.0182318,
        0.0181309,
        0.020222,
        0.0200438,
        0.0177653,
        0.0178179,
        0.0177929,
        0.0179476,
        0.0179451,
        0.0178643,
        0.0177103,
        0.0178226,
        0.0176836,
        0.0175683,
        0.0175878,
        0.0177993,
        0.0179568,
        0.018464,
        0.01897,
        0.0194364,
        0.0193614,
        0.0185829,
        0.0179853,
        0.0178395,
        0.0181159,
        0.0184764,
        0.0189829,
        0.0192758,
        0.0188791,
        0.0182642,
        0.0179916,
        0.0180382,
        0.018374,
        0.0188404,
        0.0189448,
        0.0190068,
        0.0186416,
        0.0185163,
        0.0186995,
        0.0187553,
        0.0187432,
        0.0186801,
        0.0184279,
        0.0183579,
        0.0190787,
        0.0190932,
        0.019123,
        0.0218852,
        0.0217447,
        0.018979,
        0.0186573,
        0.0191087,
        0.0188445,
        0.0186356,
        0.0189807,
        0.0192631,
        0.0192058,
        0.018922,
        0.0187658,
        0.0186667,
        0.0187436,
        0.0187883,
        0.0185738,
        0.0184401,
        0.0182788,
        0.0184364,
        0.0184337,
        0.0185547,
        0.0189474,
        0.0194599,
        0.0200379,
        0.0201214,
        0.0197733,
        0.0192247,
        0.0189046,
        0.0189215,
        0.019236,
        0.0193737,
        0.020187,
        0.0214918,
        0.0211726,
        0.0195025,
        0.0191599,
        0.0190961,
        0.0194248,
        0.0195358,
        0.0196088,
        0.0199592,
        0.0204852,
        0.0212088,
        0.0217094,
        0.022355,
        0.0228345,
        0.0232675,
        0.024383,
        0.0254629,
        0.0271924,
        0.030457,
        0.0336708,
        0.0347339,
        0.0374859,
        0.0404241,
        0.0451422,
        0.0495105,
        0.0544847,
        0.062023,
        0.0716899,
        0.0884127,
        0.118188,
        0.172228,
        0.247349,
        0.161181,
        0.116642,
        0.0879521,
        0.070086,
        0.0580334,
        0.0491236,
        0.0433148,
        0.0397989,
        0.0370991,
        0.0333631,
        0.0314568,
        0.0304333,
        0.0298471,
        0.0292137,
        0.0286715,
        0.0280541,
        0.0271409,
        0.0256384,
        0.0243025,
        0.0232548,
        0.0223811,
        0.0220168,
        0.0219012,
        0.021637,
        0.0216763,
        0.0215192,
        0.020625,
        0.020126,
        0.0201281,
        0.0201542,
        0.0209878,
        0.0231788,
        0.023347,
        0.0210133,
        0.0202411,
        0.0195091,
        0.018992,
        0.0185739,
        0.0186282,
        0.0185945,
        0.0185746,
        0.0190738,
        0.019495,
        0.0194942,
        0.01972,
        0.0196333,
        0.0195994,
        0.0195856,
        0.0194366,
        0.0195105,
        0.0196303,
        0.0198113,
        0.0196828,
        0.0194676,
        0.0197496,
        0.0200964,
        0.0205356,
        0.0210043,
        0.0227339,
        0.0216349,
        0.0206743,
        0.0211486,
        0.0218821,
        0.0229763,
        0.0236492,
        0.0240974,
        0.0239056,
        0.0237587,
        0.02327,
        0.0240642,
        0.0261213,
        0.0251937,
        0.0240313,
        0.0236836,
        0.0238344,
        0.023274,
        0.0227585,
        0.0225381,
        0.0219468,
        0.0208072,
        0.0200865,
        0.0191601,
        0.0187504,
        0.0199448,
        0.0194123,
        0.0182027,
        0.0183497,
        0.0189346,
        0.0192609,
        0.0197193,
        0.0197847,
        0.0195712,
        0.0188014,
        0.0183578,
        0.0183297,
        0.0184051,
        0.0184891,
        0.0186594,
        0.0188833,
        0.0187182,
        0.0190791,
        0.0193399,
        0.0197854,
        0.0198789,
        0.0196672,
        0.0196275,
        0.0191835,
        0.0190461,
        0.0195974,
        0.0198789,
        0.0203447,
        0.020162,
        0.0198746,
        0.0217538,
        0.0220172,
        0.0204985,
        0.0213643,
        0.022691,
        0.0228521,
        0.0241402,
        0.0228267,
        0.0226361,
        0.0203221,
        0.0185434,
        0.0184993,
        0.0182703,
        0.0179716,
        0.0178732,
        0.0177953,
        0.0180923,
        0.0183976,
        0.0183698,
        0.0183077,
        0.0179609,
        0.0181031,
        0.0190167,
        0.0186118,
        0.0175927,
        0.0174857,
        0.0174449,
        0.0189805,
        0.0192793,
        0.0186327,
        0.019019,
        0.0196163,
        0.0198007,
        0.0200459,
        0.0198444,
        0.019963,
        0.020156,
        0.0202329,
        0.0203447,
        0.0211775,
        0.0235239,
        0.0259473,
        0.0263286,
        0.0260406,
        0.0247487,
        0.0237706,
        0.0234,
        0.0235949,
        0.0241535,
        0.0244011,
        0.0237629,
        0.0219773,
        0.0213744,
        0.0222455,
        0.0230746,
        0.0239879,
        0.02462,
        0.0244538,
        0.0224288,
        0.0207635,
        0.0199666,
        0.0196389,
        0.0195478,
        0.0194926,
        0.0193268,
        0.0195519,
        0.0198265,
        0.020053,
        0.0208598,
        0.0209463,
        0.0207771,
        0.0214915,
        0.0226647,
        0.0236168,
        0.0244807,
        0.0244811,
        0.023382,
        0.0229978,
        0.0235728,
        0.0241895,
        0.0243241,
        0.0239915,
        0.0234447,
        0.0227669,
        0.0226783,
        0.0232678,
        0.0244037,
        0.0264504,
        0.0281812,
        0.030123,
        0.0334816,
        0.0388471,
        0.0449026,
        0.0530609,
        0.0624372,
        0.0721757,
        0.0777638,
        0.0825218,
        0.0845833,
        0.0884254,
        0.0935564,
        0.100755,
        0.109095,
        0.111931,
        0.111202,
        0.102118,
        0.0911273,
        0.0830334,
        0.0797973,
        0.0742335,
        0.0742312,
        0.0757893,
        0.0715725,
        0.0676385,
        0.0654762,
        0.0670387,
        0.0715095,
        0.0722223,
        0.0709543,
        0.0672082,
        0.0641404,
        0.0623712,
        0.0617116,
        0.0587139,
        0.0535673,
        0.0507453,
        0.0499798,
        0.0487856,
        0.0473134,
        0.0512875,
        0.0538462,
        0.0502963,
        0.0486932,
        0.0482914,
        0.0457523,
        0.0428328,
        0.039577,
        0.037521,
        0.0372806,
        0.0388301,
        0.0418528,
        0.0456952,
        0.0484442,
        0.0467783,
        0.0433797,
        0.0396787,
        0.0366777,
        0.0345842,
        0.0326724,
        0.0309431,
        0.0296082,
        0.0287226,
        0.0280089,
        0.0277172,
        0.0277947,
        0.0284531,
        0.0296294,
        0.0312034,
        0.0326388,
        0.0342302,
        0.0356508,
        0.0359515,
        0.0354273,
        0.0341308,
        0.0330433,
        0.0339607,
        0.0374787,
        0.0392511,
        0.0378915,
        0.0359439,
        0.0328461,
        0.0296433,
        0.0275695,
        0.0291716,
        0.0313073,
        0.0283127,
        0.0257078,
        0.024622,
        0.0242296,
        0.0241681,
        0.0242922,
        0.0243048,
        0.0242753,
        0.0244875,
        0.0243963,
        0.0243241,
        0.024232,
        0.0239425,
        0.0237148,
        0.0242181,
        0.024852,
        0.0255389,
        0.0252196,
        0.0236732,
        0.0224573,
        0.0219845,
        0.0223888,
        0.0246305,
        0.0268665,
        0.0269287,
        0.0265433,
        0.0253033,
        0.0234751,
        0.0223488,
        0.0220706,
        0.0222142,
        0.0225577,
        0.0233965,
        0.0241556,
        0.0247655,
        0.024686,
        0.0244259,
        0.0240606,
        0.0234462,
        0.0218799,
        0.0206497,
        0.020575,
        0.0211145,
        0.0221926,
        0.0236708,
        0.0240163,
        0.0234229,
        0.0223262,
        0.0208034,
        0.0198524,
        0.0199704,
        0.0200457,
        0.0202437,
        0.0200712,
        0.0197424,
        0.0195164,
        0.0192496,
        0.0199413,
        0.021345,
        0.0236339,
        0.0268759,
        0.0303216,
        0.0315804,
        0.0297765,
        0.0275982,
        0.0254339,
        0.0244408,
        0.0257352,
        0.0281249,
        0.030177,
        0.0296497,
        0.0262476,
        0.0225102,
        0.0204295,
        0.019355,
        0.0190083,
        0.019215,
        0.0189477,
        0.0197611,
        0.0211929,
        0.0225152,
        0.0238405,
        0.0249932,
        0.02404,
        0.0218812,
        0.0201737,
        0.0199031,
        0.0202288,
        0.020553,
        0.0203877,
        0.0197911,
        0.0192113,
        0.0189365,
        0.0190231,
        0.0193793,
        0.0196691,
        0.0209623,
        0.0225278,
        0.0236804,
        0.0242712,
        0.0237266,
        0.0217307,
        0.019546,
        0.0207989,
        0.0213418,
        0.0192503,
        0.0184923,
        0.0185774,
        0.0188571,
        0.0191666,
        0.0198149,
        0.0205833,
        0.0225595,
        0.0256196,
        0.0289131,
        0.0300156,
        0.0277494,
        0.024392,
        0.0218968,
        0.0209279,
        0.0204654,
        0.0206906,
        0.0211771,
        0.0213211,
        0.0216989,
        0.0222104,
        0.0230684,
        0.0245143,
        0.026387,
        0.0280706,
        0.0289597,
        0.0290003,
        0.0309743,
        0.0347726,
        0.0381796,
        0.0402497,
        0.0397291,
        0.0377094,
        0.0360765,
        0.0383261,
        0.0446297,
        0.0529688,
        0.0632591,
        0.0711379,
        0.0722253,
        0.0770598,
        0.0891181,
        0.113399,
        0.156306,
        0.234651,
        0.148417,
        0.108096,
        0.0844387,
        0.0705166,
        0.059307,
        0.0509714,
        0.0490047,
        0.0468495,
        0.0450073,
        0.0446827,
        0.0432786,
        0.038245,
        0.0328444,
        0.0293313,
        0.0275221,
        0.026959,
        0.0276744,
        0.0291139,
        0.0306997,
        0.0321007,
        0.0321442,
        0.0312748,
        0.0317924,
        0.0340517,
        0.0354252,
        0.0332332,
        0.0306767,
        0.0286928,
        0.0273731,
        0.0278571,
        0.0292782,
        0.030571,
        0.0289672,
        0.025184,
        0.0222057,
        0.020719,
        0.020051,
        0.0196085,
        0.0192583,
        0.0190304,
        0.0191322,
        0.0189844,
        0.0190669,
        0.0191248,
        0.0190247,
        0.0188384,
        0.018679,
        0.0186438,
        0.0188121,
        0.0192797,
        0.0195749,
        0.0196218,
        0.0196935,
        0.0204617,
        0.0219898,
        0.0238964,
        0.0256701,
        0.0266029,
        0.0259339,
        0.0251365,
        0.0254373,
        0.0263461,
        0.0260294,
        0.023334,
        0.0206079,
        0.0193686,
        0.0186471,
        0.0183938,
        0.018857,
        0.0202432,
        0.0227628,
        0.0271614,
        0.0333191,
        0.0403202,
        0.042611,
        0.0389663,
        0.0347007,
        0.0313497,
        0.0289288,
        0.0285657,
        0.0303403,
        0.0329977,
        0.0338337,
        0.031515,
        0.0287137,
        0.025429,
        0.0219476,
        0.0213271,
        0.0225886,
        0.0206887,
        0.0189515,
        0.018296,
        0.018228,
        0.0180058,
        0.0178441,
        0.0178795,
        0.0178517,
        0.0178126,
        0.0177798,
        0.0179431,
        0.0179026,
        0.0180583,
        0.0178039,
        0.0179417,
        0.0178588,
        0.0173392,
        0.0171635,
        0.0173794,
        0.0176802,
        0.018494,
        0.0201213,
        0.0221694,
        0.0246008,
        0.025574,
        0.0228558,
        0.0197526,
        0.0182392,
        0.0178313,
        0.0177919,
        0.0178197,
        0.0181407,
        0.0186441,
        0.0190733,
        0.0197662,
        0.0209546,
        0.0235863,
        0.0281868,
        0.034526,
        0.0400353,
        0.0385434,
        0.0341356,
        0.0308799,
        0.0258028,
        0.020946,
        0.01879,
        0.0178598,
        0.0173334,
        0.0170524,
        0.0176748,
        0.0182151,
        0.0178945,
        0.0176915,
        0.017535,
        0.0173301,
        0.0171057,
        0.0169929,
        0.016949,
        0.0171847,
        0.0172647,
        0.0194396,
        0.0204501,
        0.0181553,
        0.018721,
        0.0188564,
        0.0178463,
        0.0176975,
        0.0179437,
        0.0182072,
        0.0188317,
        0.0199096,
        0.0220949,
        0.025456,
        0.0307351,
        0.0363104,
        0.0373288,
        0.0324829,
        0.0266017,
        0.0231339,
        0.0228359,
        0.0246159,
        0.027365,
        0.0301821,
        0.0300653,
        0.0269264,
        0.0235969,
        0.0218012,
        0.0207455,
        0.0202908,
        0.0208537,
        0.0225827,
        0.0259451,
        0.0308729,
        0.0366393,
        0.0402014,
        0.0377761,
        0.0333592,
        0.0316729,
        0.0320633,
        0.0297778,
        0.0262172,
        0.0240414,
        0.0237516,
        0.0250806,
        0.0266801,
        0.0268871,
        0.0248869,
        0.0235339,
        0.0232988,
        0.0231561,
        0.0252309,
        0.0274629,
        0.0287161,
        0.027697,
        0.0248974,
        0.0230035,
        0.0224346,
        0.0225312,
        0.0240819,
        0.024743,
        0.0230998,
        0.0214593,
        0.0207127,
        0.0202382,
        0.0197085,
        0.0195881,
        0.0192954,
        0.0190422,
        0.0189648,
        0.0188031,
        0.018912,
        0.0187092,
        0.0186402,
        0.0184427,
        0.0185979,
        0.0189841,
        0.0192776,
        0.0197653,
        0.0198769,
        0.0200819,
        0.0195778,
        0.0191324,
        0.0187261,
        0.0188906,
        0.0194075,
        0.0204815,
        0.0222579,
        0.0247135,
        0.0276623,
        0.0302509,
        0.0298318,
        0.0276382,
        0.026042,
        0.0240131,
        0.0213887,
        0.0199543,
        0.0199695,
        0.0211521,
        0.0232239,
        0.0256707,
        0.0277578,
        0.0275392,
        0.0256261,
        0.0243892,
        0.0259653,
        0.0299693,
        0.036898,
        0.0431273,
        0.0417632,
        0.0345587,
        0.0279672,
        0.0234856,
        0.0211865,
        0.020526,
        0.0201418,
        0.0201972,
        0.0201563,
        0.0200085,
        0.020026,
        0.0201555,
        0.0201105,
        0.0201385,
        0.0204302,
        0.0206645,
        0.020965,
        0.0214311,
        0.0219908,
        0.022959,
        0.0252163,
        0.0292719,
        0.0343062,
        0.0407483,
        0.0467475,
        0.0453847,
        0.0386692,
        0.0323132,
        0.0290618,
        0.0278976,
        0.0280412,
        0.0297357,
        0.0330936,
        0.0383177,
        0.04494,
        0.0508861,
        0.0542281,
        0.0589294,
        0.0641888,
        0.0654701,
        0.0595143,
        0.0519513,
        0.046763,
        0.0439898,
        0.0410047,
        0.0380071,
        0.0366653,
        0.0373697,
        0.0392491,
        0.0413749,
        0.044305,
        0.0480997,
        0.0524439,
        0.0594374,
        0.0710456,
        0.088281,
        0.108438,
        0.127315,
        0.142775,
        0.158717,
        0.185724,
        0.236139,
        0.187181,
        0.150452,
        0.123766,
        0.101921,
        0.0870246,
        0.0745207,
        0.0645308,
        0.0581293,
        0.0528091,
        0.0486454,
        0.0467607,
        0.0453924,
        0.0405447,
        0.0378776,
        0.0363646,
        0.0354152,
        0.0351827,
        0.0351199,
        0.0344874,
        0.0336687,
        0.0317787,
        0.0298018,
        0.0291154,
        0.0283011,
        0.0278526,
        0.0279961,
        0.0283018,
        0.0309833,
        0.0352677,
        0.0384509,
        0.0428246,
        0.0481158,
        0.0511127,
        0.0516508,
        0.0495433,
        0.0438709,
        0.038809,
        0.0365063,
        0.0354448,
        0.0330071,
        0.0297127,
        0.0297037,
        0.0289129,
        0.0270792,
        0.0259279,
        0.0261124,
        0.0260907,
        0.0262273,
        0.0274895,
        0.0301848,
        0.0330911,
        0.0357434,
        0.0367402,
        0.0344365,
        0.031392,
        0.0303364,
        0.0301649,
        0.0304546,
        0.0318991,
        0.0334049,
        0.0357346,
        0.0380332,
        0.0411358,
        0.0448329,
        0.0495046,
        0.0553916,
        0.0630381,
        0.0767856,
        0.0873518,
        0.0981385,
        0.115259,
        0.121749,
        0.11409,
        0.103386,
        0.096201,
        0.0919944,
        0.0956163,
        0.101802,
        0.0993235,
        0.0921647,
        0.0842439,
        0.0768611,
        0.0717618,
        0.0700297,
        0.069642,
        0.0649141,
        0.057089,
        0.0503203,
        0.0442148,
        0.040866,
        0.0416787,
        0.0443902,
        0.0418222,
        0.0383282,
        0.0354621,
        0.0319999,
        0.029775,
        0.0295377,
        0.0305509,
        0.0327531,
        0.0350298,
        0.0366228,
        0.0352424,
        0.0320531,
        0.029349,
        0.028332,
        0.0280855,
        0.0282625,
        0.0282982,
        0.0280162,
        0.0276296,
        0.0277101,
        0.0279806,
        0.0284953,
        0.0296889,
        0.0317522,
        0.0351582,
        0.0386354,
        0.0429771,
        0.0462927,
        0.0437392,
        0.0402378,
        0.0379948,
        0.0379435,
        0.040595,
        0.0437139,
        0.0443643,
        0.0484776,
        0.0530745,
        0.0591526,
        0.0675855,
        0.0812488,
        0.103797,
        0.142235,
        0.205127,
        0.197132,
        0.146525,
        0.11269,
        0.0904939,
        0.0801665,
        0.0782568,
        0.0708342,
        0.0653691,
        0.0616937,
        0.0570447,
        0.0533545,
        0.0482462,
        0.0426279,
        0.0372565,
        0.0344096,
        0.0330454,
        0.0330738,
        0.034578,
        0.0363635,
        0.0393368,
        0.0402432,
        0.0364616,
        0.0320341,
        0.0311326,
        0.0302964,
        0.0270208,
        0.0266067,
        0.0258288,
        0.0250676,
        0.0245659,
        0.025754,
        0.0252515,
        0.0244035,
        0.0247834,
        0.0254942,
        0.027678,
        0.0313156,
        0.0363389,
        0.0441757,
        0.0499439,
        0.0545089,
        0.0506178,
        0.0390116,
        0.032097,
        0.0273207,
        0.0245705,
        0.0235179,
        0.0236275,
        0.0265763,
        0.0257047,
        0.0238082,
        0.025079,
        0.0246036,
        0.0242152,
        0.0245751,
        0.025289,
        0.026475,
        0.0279505,
        0.0286017,
        0.0291801,
        0.029044,
        0.0279206,
        0.0281931,
        0.031042,
        0.0359345,
        0.0435211,
        0.0529128,
        0.0612705,
        0.0625624,
        0.058672,
        0.0604395,
        0.0709985,
        0.0770407,
        0.0724539,
        0.0625678,
        0.0504977,
        0.0410763,
        0.0350801,
        0.0298962,
        0.0269293,
        0.0252323,
        0.0251799,
        0.0255952,
        0.0264903,
        0.0277589,
        0.0303709,
        0.0327598,
        0.0344274,
        0.0339631,
        0.0311666,
        0.0292369,
        0.0293237,
        0.0302808,
        0.0301205,
        0.029894,
        0.0298576,
        0.0297177,
        0.0299946,
        0.0290757,
        0.0296843,
        0.0298121,
        0.0290472,
        0.0296352,
        0.0299729,
        0.0317038,
        0.0351116,
        0.0397678,
        0.0461651,
        0.0511872,
        0.0509877,
        0.0455776,
        0.0407019,
        0.0373465,
        0.0348569,
        0.0328914,
        0.0317389,
        0.0322508,
        0.0346111,
        0.0383222,
        0.0416204,
        0.0432573,
        0.0389286,
        0.0341473,
        0.0307655,
        0.029594,
        0.0289995,
        0.0288451,
        0.0278382,
        0.0277951,
        0.0297522,
        0.0320879,
        0.0353342,
        0.0385963,
        0.0423116,
        0.0435295,
        0.0413071,
        0.0393607,
        0.0393359,
        0.0396579,
        0.0401926,
        0.0404641,
        0.0431867,
        0.045059,
        0.0469049,
        0.046608,
        0.0438408,
        0.0405114,
        0.0392675,
        0.0350165,
        0.0310657,
        0.0333448,
        0.0311893,
        0.029343,
        0.0310705,
        0.0337322,
        0.0364822,
        0.0383582,
        0.039246,
        0.0399486,
        0.0406076,
        0.0413594,
        0.0408665,
        0.0382013,
        0.0324312,
        0.02804,
        0.0256332,
        0.0245043,
        0.0238858,
        0.0238386,
        0.0237563,
        0.024419,
        0.0242958,
        0.0235045,
        0.0239412,
        0.0249724,
        0.0271934,
        0.0306896,
        0.0338014,
        0.035749,
        0.0339065,
        0.0307354,
        0.0275533,
        0.0262439,
        0.0263537,
        0.025723,
        0.0255232,
        0.0255439,
        0.0257775,
        0.0283758,
        0.028365,
        0.0263329,
        0.0271202,
        0.028925,
        0.0296863,
        0.0303056,
        0.0305378,
        0.0296021,
        0.0288002,
        0.0293293,
        0.030675,
        0.034087,
        0.0385884,
        0.0442534,
        0.0507926,
        0.0547547,
        0.0516402,
        0.0465332,
        0.0441919,
        0.045156,
        0.047246,
        0.0533721,
        0.0658149,
        0.0799268,
        0.0797335,
        0.0668681,
        0.0531158,
        0.0426851,
        0.0364254,
        0.0327055,
        0.0306695,
        0.0298942,
        0.0290733,
        0.0287841,
        0.0295383,
        0.0312764,
        0.0344903,
        0.0388861,
        0.0452313,
        0.0520678,
        0.0552622,
        0.053641,
        0.0506566,
        0.0452617,
        0.0388993,
        0.0343736,
        0.0324188,
        0.0323433,
        0.0339587,
        0.033523,
        0.0317582,
        0.0323179,
        0.0327972,
        0.0330271,
        0.0356774,
        0.0394161,
        0.0391874,
        0.0403826,
        0.0460929,
        0.0519624,
        0.0587398,
        0.0626217,
        0.0585678,
        0.053693,
        0.0440647,
        0.0369659,
        0.0322097,
        0.0298712,
        0.0287088,
        0.0284244,
        0.0285179,
        0.0286026,
        0.0297562,
        0.0314718,
        0.0329094,
        0.0334944,
        0.0341993,
        0.0344358,
        0.033758,
        0.0330942,
        0.0340891,
        0.0350337,
        0.0360179,
        0.0375719,
        0.0391498,
        0.0421288,
        0.0462632,
        0.0506148,
        0.0544121,
        0.0565828,
        0.0573422,
        0.0616804,
        0.0710386,
        0.0874224,
        0.109784,
        0.135447,
        0.160217,
        0.162817,
        0.163304,
        0.164571,
        0.161019,
        0.145196,
        0.133621,
        0.109895,
        0.0864478,
        0.0731058,
        0.0667599,
        0.0632512,
        0.0640904,
        0.0679915,
        0.0715645,
        0.0742099,
        0.0759071,
        0.0679549,
        0.0582337,
        0.0517298,
        0.0466533,
        0.0427529,
        0.0403749,
        0.0391248,
        0.0375081,
        0.0354528,
        0.0341601,
        0.0327852,
        0.0315597,
        0.0312916,
        0.0310641,
        0.0308933,
        0.030827,
        0.0303927,
        0.029299,
        0.0286132,
        0.0287186,
        0.0294145,
        0.0311685,
        0.0356301,
        0.0432709,
        0.0438341,
        0.0423066,
        0.0401141,
        0.0354394,
        0.0322962,
        0.0311258,
        0.030771,
        0.0309505,
        0.0321465,
        0.0346796,
        0.0373123,
        0.0409857,
        0.0420516,
        0.0386473,
        0.0348447,
        0.0328773,
        0.0314315,
        0.0310157,
        0.0309537,
        0.0316118,
        0.0340545,
        0.0378834,
        0.043231,
        0.0483927,
        0.0516385,
        0.0476196,
        0.0417199,
        0.0358839,
        0.0328069,
        0.0319218,
        0.0331825,
        0.0347421,
        0.0366616,
        0.0386862,
        0.0386415,
        0.0356459,
        0.0346458,
        0.037779,
        0.0439277,
        0.0563044,
        0.070455,
        0.0755808,
        0.0632885,
        0.0477556,
        0.037589,
        0.0328656,
        0.03187,
        0.0320193,
        0.0343845,
        0.0382129,
        0.0417219,
        0.0432219,
        0.03653,
        0.0317226,
        0.0289603,
        0.0281217,
        0.0279083,
        0.0289127,
        0.0322347,
        0.0366628,
        0.0434518,
        0.047919,
        0.0473241,
        0.0403769,
        0.0343169,
        0.0317394,
        0.0319098,
        0.0343853,
        0.0382179,
        0.0428623,
        0.0477911,
        0.0481505,
        0.041082,
        0.0355525,
        0.033722,
        0.0347487,
        0.0378036,
        0.0405351,
        0.0432233,
        0.0432275,
        0.03893,
        0.0334515,
        0.0308549,
        0.0292757,
        0.0295705,
        0.0303699,
        0.0318699,
        0.0337605,
        0.0349884,
        0.0339246,
        0.0325287,
        0.030818,
        0.0292843,
        0.0278601,
        0.0277588,
        0.0280261,
        0.0295716,
        0.0314846,
        0.0342285,
        0.0359628,
        0.0361146,
        0.0364219,
        0.0376857,
        0.0434199,
        0.050185,
        0.0521526,
        0.0491582,
        0.044116,
        0.0420883,
        0.0413105,
        0.038903,
        0.0353603,
        0.0342915,
        0.03538,
        0.0383323,
        0.0426786,
        0.0470728,
        0.0501946,
        0.0461048,
        0.0398268,
        0.0355896,
        0.0337461,
        0.0337749,
        0.0344465,
        0.0359516,
        0.0396757,
        0.0445703,
        0.0503483,
        0.0533614,
        0.0494967,
        0.0439716,
        0.0395953,
        0.0391187,
        0.039541,
        0.0394655,
        0.0394301,
        0.0401607,
        0.0410595,
        0.041859,
        0.0431203,
        0.0457676,
        0.0494561,
        0.0527153,
        0.0569087,
        0.0632832,
        0.0657387,
        0.068345,
        0.0816297,
        0.0849571,
        0.090746,
        0.106862,
        0.130621,
        0.174406,
        0.245018,
        0.358444,
        0.618447,
        0.160068,
        0.135708,
        0.119236,
        0.103786,
        0.0902619,
        0.0819285,
        0.0771156,
        0.0748378,
        0.0758078,
        0.0756734,
        0.0716783,
        0.0729355,
        0.0740934,
        0.0712989,
        0.0593619,
        0.0507213,
        0.0469572,
        0.0476202,
        0.0501781,
        0.0501904,
        0.0477919,
        0.0437715,
        0.0393217,
        0.0372135,
        0.0367382,
        0.0363298,
        0.0362693,
        0.0371449,
        0.0384453,
        0.0420712,
        0.0483435,
        0.0550522,
        0.0612645,
        0.0633114,
        0.0556185,
        0.0473904,
        0.0477588,
        0.0552268,
        0.0653713,
        0.0880602,
        0.112739,
        0.112889,
        0.0809025,
        0.0584604,
        0.0486985,
        0.0453734,
        0.0438415,
        0.0428826,
        0.0415817,
        0.0398801,
        0.0384688,
        0.0371358,
        0.0367986,
        0.0363237,
        0.0357796,
        0.0360043,
        0.0362184,
        0.0361544,
        0.0362221,
        0.036112,
        0.0354896,
        0.0353916,
        0.0351868,
        0.0334677,
        0.0330507,
        0.0326066,
        0.0327619,
        null,
        0.0292875,
        0.0354309,
        0.038736,
        0.0434899,
        0.0453507,
        0.0400289,
        0.0331785,
        0.0288242,
        0.0309056,
        0.031797,
        0.0279545,
        0.0269805,
        0.0260515,
        0.0250559,
        0.0248552,
        0.0254195,
        0.0261615,
        0.0270234,
        0.0276413,
        0.0278242,
        0.0268124,
        0.0254544,
        0.0246882,
        0.0240914,
        0.0234616,
        0.0228451,
        0.0224704,
        0.0223267,
        0.0222169,
        0.022078,
        0.0220853,
        0.0224118,
        0.0234089,
        0.0255596,
        0.0304124,
        0.0352653,
        0.0360247,
        0.0333822,
        0.0290205,
        0.0264136,
        0.0260041,
        0.0262131,
        0.0262669,
        0.0262246,
        0.0252614,
        0.0240504,
        0.0236191,
        0.0236322,
        0.0237547,
        0.0239258,
        0.0239037,
        0.0234804,
        0.0239595,
        0.0261899,
        0.0300504,
        0.0360463,
        0.0425395,
        0.043202,
        0.0370585,
        0.0302079,
        0.0260426,
        0.0243803,
        0.0242527,
        0.0251649,
        0.0277092,
        0.0311994,
        0.0349982,
        0.0374079,
        0.0357178,
        0.0308829,
        0.0273123,
        0.0260528,
        0.0261914,
        0.0271577,
        0.0286996,
        0.0314321,
        0.0350125,
        0.038834,
        0.0424198,
        0.0424664,
        0.0375644,
        0.0326686,
        0.0301742,
        0.0297499,
        0.030481,
        0.0317284,
        0.033526,
        0.0363944,
        0.0400505,
        0.0441266,
        0.0472947,
        0.0533872,
        0.0545793,
        0.0448739,
        0.0386611,
        0.0376821,
        0.0387694,
        0.0417782,
        0.0460278,
        0.0500524,
        0.0487867,
        0.0430425,
        0.0388505,
        0.0381823,
        0.039276,
        0.0413469,
        0.0425198,
        0.0439921,
        0.0451355,
        0.0478707,
        0.0527092,
        0.0571576,
        0.0602276,
        0.0603893,
        0.0611626,
        0.0648411,
        0.0706601,
        0.0757734,
        0.072256,
        0.0618961,
        0.050243,
        0.0418307,
        0.0365205,
        0.0334634,
        0.0321666,
        0.0318269,
        0.0329682,
        0.0366792,
        0.0425085,
        0.0479663,
        0.0488761,
        0.0430453,
        0.0361963,
        0.032498,
        0.0307299,
        0.0304475,
        0.0298559,
        0.0291958,
        0.0292365,
        0.0292501,
        0.0290287,
        0.0290213,
        0.0289122,
        0.028585,
        0.0282587,
        0.0288134,
        0.0300714,
        0.0312758,
        0.0318971,
        0.0304376,
        0.0298736,
        0.031484,
        0.0345153,
        0.039788,
        0.0463904,
        0.0519332,
        0.0507935,
        0.0445658,
        0.037608,
        0.033523,
        0.0324372,
        0.0323454,
        0.0330352,
        0.0338293,
        0.0356739,
        0.0377145,
        0.0408285,
        0.0436224,
        0.0472666,
        0.0504921,
        0.0555346,
        0.0618565,
        0.0710821,
        0.0841667,
        0.10311,
        0.13617,
        0.19129,
        0.187075,
        0.156508,
        0.139321,
        0.119134,
        0.0973467,
        0.0805871,
        0.0661872,
        0.057407,
        0.0517884,
        0.0492471,
        0.0461543,
        0.0439154,
        0.0418363,
        0.0402697,
        0.0395899,
        0.0388122,
        0.0390927,
        0.0398363,
        0.0414871,
        0.0429654,
        0.0441384,
        0.0438682,
        0.0433683,
        0.0440309,
        0.0472165,
        0.0516426,
        0.0574109,
        0.0608619,
        0.0600225,
        0.0593366,
        0.0566315,
        0.0509598,
        0.0455772,
        0.0434082,
        0.0424765,
        0.0435225,
        0.0446996,
        0.0461338,
        0.0484664,
        0.0509405,
        0.0528411,
        0.0567153,
        0.0616208,
        0.0692426,
        0.0798334,
        0.0929258,
        0.111675,
        0.131231,
        0.151562,
        0.17183,
        0.196253,
        0.22213,
        0.266548,
        0.19172,
        0.173738,
        0.155829,
        0.145603,
        0.138935,
        0.118526,
        0.101034,
        0.0891111,
        0.0816199,
        0.0759692,
        0.070476,
        0.0621784,
        0.0584539,
        0.0592401,
        0.0623005,
        0.0633481,
        0.0608895,
        0.0550296,
        0.0488699,
        0.0457325,
        0.044678,
        0.0443322,
        0.0451058,
        0.045598,
        0.0464626,
        0.047829,
        0.047039,
        0.0467649,
        0.0467907,
        0.0491779,
        0.0530319,
        0.0604994,
        0.0596408,
        0.0541255,
        0.0495863,
        0.0472584,
        0.0470558,
        0.0475438,
        0.0489469,
        0.0504786,
        0.0530419,
        0.0585518,
        0.0738855,
        0.0798897,
        0.0808998,
        0.094195,
        0.121334,
        0.160632,
        0.222171,
        0.28217,
        0.216284,
        0.17048,
        0.131586,
        0.10408,
        0.0855981,
        0.070689,
        0.0598708,
        0.0532914,
        0.0491197,
        0.0463713,
        0.043993,
        0.0417753,
        0.0401075,
        0.0379516,
        0.0359351,
        0.034334,
        0.0326738,
        0.0307871,
        0.0293534,
        0.0281389,
        0.0273604,
        0.026845,
        0.0262831,
        0.0258267,
        0.0258309,
        0.0253408,
        0.0248885,
        0.0246309,
        0.0244664,
        0.0242639,
        0.0241427,
        0.0241431,
        0.0240924,
        0.0242548,
        0.0251015,
        0.0261643,
        0.0273918,
        0.0281278,
        0.0276044,
        0.0264215,
        0.0252868,
        0.025199,
        0.0258451,
        0.0265311,
        0.0277263,
        0.0288849,
        0.0304858,
        0.0318445,
        0.0323787,
        0.0321709,
        0.0313992,
        0.0296248,
        0.0279684,
        0.0268912,
        0.0261977,
        0.0255451,
        0.0259237,
        0.0266329,
        0.0289196,
        0.0324505,
        0.0365977,
        0.039362,
        0.038104,
        0.0355097,
        0.0321805,
        0.0288364,
        0.0279732,
        0.0261217,
        0.0230469,
        0.0223168,
        0.0223458,
        0.0218749,
        0.0208971,
        0.0207979,
        0.0205195,
        0.0202002,
        0.0201555,
        0.0199456,
        0.0197003,
        0.0196018,
        0.0196483,
        0.0197265,
        0.0200693,
        0.0204216,
        0.0205542,
        0.0214471,
        0.0225479,
        0.0232345,
        0.022988,
        0.0219395,
        0.0211811,
        0.0208147,
        0.0207575,
        0.0206548,
        0.0202871,
        0.0202573,
        0.0203061,
        0.0202678,
        0.0204707,
        0.0205143,
        0.0206845,
        0.021075,
        0.0212813,
        0.0217262,
        0.0222978,
        0.0228552,
        0.023852,
        0.024598,
        0.025842,
        0.0275738,
        0.0290134,
        0.031484,
        0.0346349,
        0.0384169,
        0.0413249,
        0.0423984,
        0.0411168,
        0.0376911,
        0.0339279,
        0.0309934,
        0.0287681,
        0.0270404,
        0.0267838,
        0.0273816,
        0.0288992,
        0.0301474,
        0.0303154,
        0.0296309,
        0.0281628,
        0.0281851,
        0.0277003,
        0.0255304,
        0.0223854,
        0.0206643,
        0.0197607,
        0.0194976,
        0.019183,
        0.019647,
        0.0194906,
        0.0194759,
        0.0193268,
        0.0193664,
        0.019134,
        0.0191111,
        0.0190465,
        0.0194949,
        0.0200434,
        0.0210652,
        0.0221204,
        0.0225265,
        0.0218577,
        0.0204843,
        0.0197719,
        0.0192429,
        0.0194292,
        0.0195395,
        0.0195524,
        0.0195643,
        0.0193074,
        0.0192276,
        0.0190265,
        0.0191263,
        0.0193497,
        0.019319,
        0.0193576,
        0.0193239,
        0.0190234,
        0.0191806,
        0.0190655,
        0.0190008,
        0.0191876,
        0.0192827,
        0.0196064,
        0.0197189,
        0.0198813,
        0.0199362,
        0.0195787,
        0.0193288,
        0.0191541,
        0.0189661,
        0.0189762,
        0.0192849,
        0.022215,
        0.021888,
        0.0190133,
        0.0187874,
        0.0187039,
        0.018613,
        0.018445,
        0.0183833,
        0.0186802,
        0.0188619,
        0.0190399,
        0.0190282,
        0.0187219,
        0.0184403,
        0.0185028,
        0.0184676,
        0.0184091,
        0.0183723,
        0.0184425,
        0.0184226,
        0.0183053,
        0.0182978,
        0.0182299,
        0.0185538,
        0.020483,
        0.0201995,
        0.0183004,
        0.018344,
        0.0183758,
        0.0182733,
        0.0183931,
        0.0184602,
        0.0185534,
        0.0186992,
        0.0191412,
        0.0193399,
        0.0196009,
        0.0201827,
        0.0208335,
        0.0221447,
        0.0233712,
        0.0247209,
        0.0255693,
        0.026429,
        0.0272301,
        0.0273318,
        0.0271144,
        0.0262048,
        0.0242228,
        0.0224195,
        0.0213175,
        0.0204252,
        0.019776,
        0.0193458,
        0.0190478,
        0.0187384,
        0.0184626,
        0.0185166,
        0.0183326,
        0.0182345,
        0.0181043,
        0.0180566,
        0.0180753,
        0.0179408,
        0.0178313,
        0.0179589,
        0.0178788,
        0.0176995,
        0.0181431,
        0.0182002,
        0.0182665,
        0.0181662,
        0.0181514,
        0.0182366,
        0.0182272,
        0.0183018,
        0.0183421,
        0.0185849,
        0.0187341,
        0.0189666,
        0.0190555,
        0.0190199,
        0.0191517,
        0.0196106,
        0.0212279,
        0.0217713,
        0.0200861,
        0.0203828,
        0.0208046,
        0.0210099,
        0.0210912,
        0.0210596,
        0.0210861,
        0.0215003,
        0.0219115,
        0.0224917,
        0.0230615,
        0.0239063,
        0.0250704,
        0.0282051,
        0.0304808,
        0.0329991,
        0.035536,
        0.034473,
        0.0387243,
        0.0428874,
        0.0454445,
        0.0465722,
        0.0446768,
        0.0416964,
        0.0389967,
        0.0368058,
        0.0347536,
        0.033391,
        0.0331128,
        0.0328718,
        0.0327047,
        0.0334752,
        0.034839,
        0.0369236,
        0.0392223,
        0.0421437,
        0.0459815,
        0.0511475,
        0.059195,
        0.0702657,
        0.0856278,
        0.109249,
        0.141292,
        0.191327,
        0.142074,
        0.105452,
        0.0811977,
        0.0678701,
        0.0567675,
        0.0495202,
        0.044258,
        0.0396427,
        0.0364435,
        0.0338317,
        0.031949,
        0.0301655,
        0.0286578,
        0.0276603,
        0.0265182,
        0.0262294,
        0.025238,
        0.0247842,
        0.0245423,
        0.0239778,
        0.0234674,
        0.0233126,
        0.0242049,
        0.0243662,
        0.0229712,
        0.0227843,
        0.0224716,
        0.0220309,
        0.0213929,
        0.0212281,
        0.0209935,
        0.020864,
        0.020594,
        0.0206868,
        0.0208088,
        0.0209979,
        0.0209823,
        0.0208413,
        0.020736,
        0.0202997,
        0.0199117,
        0.0196837,
        0.0195957,
        0.0194419,
        0.019301,
        0.0193361,
        0.0191456,
        0.0191061,
        0.0191927,
        0.0190748,
        0.0190814,
        0.0192052,
        0.0191418,
        0.0191227,
        0.0190511,
        0.0188718,
        0.018904,
        0.0190982,
        0.0193624,
        0.019952,
        0.0202031,
        0.0202726,
        0.0202564,
        0.0198383,
        0.0195134,
        0.0192955,
        0.0193175,
        0.0191953,
        0.0192677,
        0.0192477,
        0.0194812,
        0.0197581,
        0.0196802,
        0.0200221,
        0.0203598,
        0.0214831,
        0.025449,
        0.0247341,
        0.0240693,
        0.0257761,
        0.0284264,
        0.0313675,
        0.0333475,
        0.0334392,
        0.0303953,
        0.0276278,
        0.0257682,
        0.0239463,
        0.0228628,
        0.0216945,
        0.0211231,
        0.0208782,
        0.0206458,
        0.0205693,
        0.0204472,
        0.0206012,
        0.0202022,
        0.0198832,
        0.0197529,
        0.0198561,
        0.0200584,
        0.0206464,
        0.0217981,
        0.0232636,
        0.0256088,
        0.0278098,
        0.0296768,
        0.0294359,
        0.0284074,
        0.0279827,
        0.0269919,
        0.0254914,
        0.0231395,
        0.0218149,
        0.0215885,
        0.0224462,
        0.0236557,
        0.0252316,
        0.0262584,
        0.0259736,
        0.0252184,
        0.0262399,
        0.0281883,
        0.025694,
        0.0238868,
        0.0233433,
        0.022186,
        0.0217182,
        0.0218543,
        0.0222947,
        0.022688,
        0.0232601,
        0.0249963,
        0.0278704,
        0.031632,
        0.0365469,
        0.0417831,
        0.0406306,
        0.0390376,
        0.0414879,
        0.0469151,
        0.0535786,
        0.0588811,
        0.0603591,
        0.0522111,
        0.042625,
        0.0369177,
        0.0342322,
        0.0335863,
        0.0337063,
        0.0343971,
        0.0334265,
        0.0296278,
        0.0258429,
        0.023518,
        0.0223368,
        0.0222356,
        0.0231706,
        0.0247652,
        0.0267578,
        0.0277887,
        0.0270958,
        0.0243241,
        0.021865,
        0.0204664,
        0.0198326,
        0.0197729,
        0.0197897,
        0.0202281,
        0.0208806,
        0.0221597,
        0.0236474,
        0.0247646,
        0.0254771,
        0.0259323,
        0.0274283,
        0.0292699,
        0.0304288,
        0.0293836,
        0.026143,
        0.0235466,
        0.022394,
        0.0222553,
        0.0234894,
        0.0253404,
        0.0280878,
        0.0299461,
        0.0283186,
        0.0245609,
        0.0212902,
        0.0197759,
        0.0193886,
        0.0197938,
        0.021094,
        0.0228299,
        0.0251233,
        0.0262911,
        0.0253961,
        0.0240478,
        0.023048,
        0.0224638,
        0.0216082,
        0.0217304,
        0.0218556,
        0.0218424,
        0.0222323,
        0.0229184,
        0.0240928,
        0.0243358,
        0.022814,
        0.0209282,
        0.0196871,
        0.0192483,
        0.0188529,
        0.0187858,
        0.0192282,
        0.0200795,
        0.0213349,
        0.0231208,
        0.0247262,
        0.0252278,
        0.0246878,
        0.0231542,
        0.0212325,
        0.0200399,
        0.0198787,
        0.0200475,
        0.0204446,
        0.0212541,
        0.0228567,
        0.0254486,
        0.0291927,
        0.0319172,
        0.0317164,
        0.0296021,
        0.0278081,
        0.0261634,
        0.0245208,
        0.0233498,
        0.0235652,
        0.02542,
        0.0277816,
        0.028578,
        0.0266315,
        0.0231164,
        0.0206612,
        0.0195283,
        0.0192202,
        0.0193713,
        0.0200661,
        0.0218505,
        0.0246492,
        0.0281179,
        0.0306333,
        0.0297016,
        0.0261214,
        0.0236287,
        0.023155,
        0.0234555,
        0.0239817,
        0.0242389,
        0.0249101,
        0.0266181,
        0.0286889,
        0.0315415,
        0.03452,
        0.0357991,
        0.0350774,
        0.0322962,
        0.0295682,
        0.0287927,
        0.0300769,
        0.0309139,
        0.0303686,
        0.0282213,
        0.0249128,
        0.0221353,
        0.0209531,
        0.0209849,
        0.0221023,
        0.023992,
        0.0259341,
        0.0273952,
        0.0271098,
        0.0256137,
        0.0242354,
        0.0228323,
        0.021836,
        0.0218296,
        0.0223621,
        0.0226627,
        0.0229574,
        0.0226348,
        0.0220008,
        0.0219793,
        0.0235309,
        0.0268303,
        0.0311258,
        0.0345529,
        0.0330626,
        0.0278212,
        0.0234772,
        0.0226815,
        0.0227355,
        0.0212182,
        0.0209257,
        0.0223948,
        0.0247805,
        0.0281355,
        0.0310899,
        0.032182,
        0.0304203,
        0.0284922,
        0.0286126,
        0.0298142,
        0.031375,
        0.0327559,
        0.0336242,
        0.0340713,
        0.0346994,
        0.0375718,
        0.0423031,
        0.0476291,
        0.0482045,
        0.0428527,
        0.0353029,
        0.0305579,
        0.0282078,
        0.0259118,
        0.024628,
        0.0238368,
        0.0233702,
        0.0230579,
        0.023408,
        0.0252245,
        0.0281196,
        0.0312081,
        0.0337677,
        0.0319356,
        0.026499,
        0.0222957,
        0.020458,
        0.0194651,
        0.018897,
        0.0188911,
        0.0186123,
        0.0185281,
        0.0186296,
        0.0185743,
        0.0186385,
        0.01934,
        0.0209679,
        0.0231277,
        0.0238713,
        0.0246134,
        0.0247625,
        0.0242143,
        0.0241043,
        0.0250039,
        0.0253515,
        0.0245874,
        0.0232687,
        0.0219482,
        0.0207781,
        0.0202636,
        0.0205256,
        0.0209432,
        0.0217496,
        0.0230327,
        0.025018,
        0.028076,
        0.0304719,
        0.0311904,
        0.0289109,
        0.0264807,
        0.0259907,
        0.026839,
        0.0281319,
        0.0274492,
        0.0249294,
        0.0230506,
        0.0225733,
        0.0227095,
        0.0218105,
        0.0210197,
        0.0206649,
        0.022088,
        0.0244022,
        0.0275243,
        0.0316716,
        0.0344231,
        0.0336741,
        0.0310091,
        0.0289835,
        0.0273457,
        0.0261049,
        0.0247284,
        0.0228788,
        0.0216389,
        0.0211769,
        0.0214931,
        0.0227792,
        0.0251956,
        0.0282816,
        0.030336,
        0.0297574,
        0.0275755,
        0.0254337,
        0.0235506,
        0.0224932,
        0.0219876,
        0.0226279,
        0.0235014,
        0.0248583,
        0.025877,
        0.0256611,
        0.0247239,
        0.0249765,
        0.0259259,
        0.0266673,
        0.0291629,
        0.0297939,
        0.0256094,
        0.0232322,
        0.0226469,
        0.0224594,
        0.0223242,
        0.0225271,
        0.022776,
        0.0231465,
        0.0236911,
        0.024884,
        0.0266109,
        0.0285948,
        0.0314021,
        0.0342618,
        0.037308,
        0.0407582,
        0.0420817,
        0.040289,
        0.037338,
        0.0370442,
        0.0394107,
        0.0405638,
        0.042921,
        0.0477204,
        0.0542977,
        0.0630891,
        0.073705,
        0.0851561,
        0.0957374,
        0.107157,
        0.118229,
        0.128392,
        0.140233,
        0.144143,
        0.149768,
        0.150421,
        0.145581,
        0.156047,
        0.177356,
        0.203507,
        0.210214,
        0.155202,
        0.126457,
        0.112699,
        0.109607,
        0.104276,
        0.08996,
        0.0746956,
        0.0638052,
        0.0548633,
        0.0491636,
        0.0426297,
        0.038599,
        0.0369995,
        0.0366354,
        0.0367218,
        0.0375485,
        0.0379748,
        0.0378446,
        0.0398911,
        0.0445241,
        0.0510295,
        0.0557958,
        0.0563487,
        0.0523603,
        0.0485859,
        0.0492578,
        0.0525612,
        0.0541548,
        0.051724,
        0.0480483,
        0.0452854,
        0.0436498,
        0.0419458,
        0.0400593,
        0.0363738,
        0.0336641,
        0.033188,
        0.0334881,
        0.0323568,
        0.0299759,
        0.0276371,
        0.0276044,
        0.0278003,
        0.0269875,
        0.0259626,
        0.0249375,
        0.0240277,
        0.0240197,
        0.0253984,
        0.0281964,
        0.0325655,
        0.0374085,
        0.040999,
        0.0396376,
        0.0358098,
        0.0326116,
        0.0303462,
        0.0280728,
        0.0268815,
        0.0263753,
        0.0254436,
        0.0238366,
        0.022485,
        0.0217446,
        0.021398,
        0.0212293,
        0.0218147,
        0.0227321,
        0.0229513,
        0.0238016,
        0.0257154,
        0.0276057,
        0.0282996,
        0.0288313,
        0.0289889,
        0.0280628,
        0.0265353,
        0.0256645,
        0.0252826,
        0.0244209,
        0.0232688,
        0.0228497,
        0.0232537,
        0.0241937,
        0.0252296,
        0.0257873,
        0.0252175,
        0.0258321,
        0.0268379,
        0.0251611,
        0.0243429,
        0.0252858,
        0.0267923,
        0.0284791,
        0.0297716,
        0.0302573,
        0.0303577,
        0.0318016,
        0.0356545,
        0.0423471,
        0.0503316,
        0.0553713,
        0.0540635,
        0.0485387,
        0.0456197,
        0.0466158,
        0.0483761,
        0.0480089,
        0.0488581,
        0.0513597,
        0.0547487,
        0.0597042,
        0.0660283,
        0.0750379,
        0.0889324,
        0.106469,
        0.125464,
        0.15122,
        0.17824,
        0.193545,
        0.198428,
        0.204784,
        0.177401,
        0.154882,
        0.137705,
        0.118608,
        0.101993,
        0.0906856,
        0.0830067,
        0.0785227,
        0.0764039,
        0.0729532,
        0.065822,
        0.0560037,
        0.0487578,
        0.0442242,
        0.0413903,
        0.0397218,
        0.0390072,
        0.0385498,
        0.037769,
        0.036018,
        0.0371405,
        0.0367524,
        0.0312246,
        0.0284665,
        0.0277272,
        0.0274462,
        0.0269817,
        0.0269695,
        0.0272823,
        0.0274824,
        0.027559,
        0.0285173,
        0.0302147,
        0.0327903,
        0.0366489,
        0.0408714,
        0.0431838,
        0.040492,
        0.0365329,
        0.0349964,
        0.0359345,
        0.0380903,
        0.0398989,
        0.0400118,
        0.039472,
        0.0369307,
        0.0334428,
        0.0308628,
        0.0295532,
        0.0294674,
        0.0301159,
        0.0309606,
        0.0317418,
        0.0323101,
        0.032957,
        0.0334348,
        0.0347483,
        0.036031,
        0.0383934,
        0.0409558,
        0.0438594,
        0.0476992,
        0.052713,
        0.0600384,
        0.0631343,
        0.0631521,
        0.0643401,
        0.0631019,
        0.0613679,
        0.0595951,
        0.0581601,
        0.0566096,
        0.0542205,
        0.0502248,
        0.0442567,
        0.0394058,
        0.0371354,
        0.0357284,
        0.0353796,
        0.0347017,
        0.0337256,
        0.0327249,
        0.0309347,
        0.0306886,
        0.0319616,
        0.0300239,
        0.029701,
        0.0310124,
        0.0326186,
        0.0353278,
        0.0389878,
        0.0433158,
        0.0491952,
        0.0575212,
        0.0632763,
        0.0625917,
        0.0555643,
        0.0458971,
        0.0393854,
        0.0342782,
        0.0314475,
        0.0293096,
        0.0275043,
        0.0259097,
        0.0247263,
        0.0241659,
        0.0237101,
        0.0239965,
        0.0238589,
        0.0244133,
        0.0248111,
        0.025311,
        0.0254649,
        0.0256809,
        0.0261106,
        0.027923,
        0.0316296,
        0.0376384,
        0.045384,
        0.053513,
        0.0575482,
        0.0521934,
        0.0423086,
        0.0357138,
        0.0309485,
        0.0274632,
        0.0252016,
        0.0244662,
        0.0242143,
        0.0245081,
        0.0245,
        0.0247834,
        0.0244139,
        0.0240588,
        0.0242656,
        0.0246185,
        0.0230324,
        0.0226411,
        0.0228675,
        0.0230295,
        0.0236333,
        0.0245379,
        0.0262057,
        0.0283077,
        0.0310509,
        0.0335263,
        0.0334281,
        0.030899,
        0.0284893,
        0.0278462,
        0.0271947,
        0.0261471,
        0.0249061,
        0.0233487,
        0.0224143,
        0.022098,
        0.0219163,
        0.0219712,
        0.0217467,
        0.0218234,
        0.0219639,
        0.0218903,
        0.0232485,
        0.0261713,
        0.0290534,
        0.0276082,
        0.0262303,
        0.0259583,
        0.0255305,
        0.0245044,
        0.0236576,
        0.0233098,
        0.0228633,
        0.0232367,
        0.0237666,
        0.0239845,
        0.0242842,
        0.0249874,
        0.0260156,
        0.0279346,
        0.0301788,
        0.0324921,
        0.0339393,
        0.0340086,
        0.0301657,
        0.0270179,
        0.0261374,
        0.0255059,
        0.0253439,
        0.0259517,
        0.0270383,
        0.0302806,
        0.0370119,
        0.0395267,
        0.0362114,
        0.0329508,
        0.0294623,
        0.0273916,
        0.0265608,
        0.0259388,
        0.0277495,
        0.0272012,
        0.0249279,
        0.0243877,
        0.0241661,
        0.023866,
        0.0234418,
        0.0230244,
        0.0229944,
        0.023445,
        0.0241724,
        0.0255971,
        0.0265122,
        0.0278676,
        0.0290545,
        0.0262288,
        0.0243261,
        0.0232563,
        0.0230555,
        0.0232619,
        0.0247406,
        0.0260688,
        0.0258378,
        0.0248934,
        0.0259475,
        0.0271685,
        0.0295312,
        0.034066,
        0.040667,
        0.0473812,
        0.0537548,
        0.0527207,
        0.0454538,
        0.0374675,
        0.0326062,
        0.0300484,
        0.0285655,
        0.0276991,
        0.0265819,
        0.0256331,
        0.0250733,
        0.0244975,
        0.0241314,
        0.0240445,
        0.0240093,
        0.0238777,
        0.0246363,
        0.0254899,
        0.0258831,
        0.0259959,
        0.0254902,
        0.0247255,
        0.0242782,
        0.0251375,
        0.0274141,
        0.0312292,
        0.0364019,
        0.0400913,
        0.0390873,
        0.0339982,
        0.0296697,
        0.0306582,
        0.0276069,
        0.0229548,
        0.0225379,
        0.0226525,
        0.023045,
        0.0234006,
        0.0236845,
        0.0242306,
        0.0243514,
        0.0239802,
        0.0242552,
        0.0245416,
        0.0253971,
        0.0267097,
        0.027702,
        0.0293016,
        0.031127,
        0.0325478,
        0.0343863,
        0.03632,
        0.0371087,
        0.0372324,
        0.0360646,
        0.0348689,
        0.0323052,
        0.0296374,
        0.0274901,
        0.0259622,
        0.0251863,
        0.0250183,
        0.0262586,
        0.027955,
        0.029706,
        0.0305678,
        0.0303789,
        0.029428,
        0.0266194,
        0.0235107,
        0.0233176,
        0.0227258,
        0.0225564,
        0.0226402,
        0.0226897,
        0.0227852,
        0.0231663,
        0.0234854,
        0.0235693,
        0.0233715,
        0.0233875,
        0.0239426,
        0.0249535,
        0.0267518,
        0.0295762,
        0.0339214,
        0.0371221,
        0.0394842,
        0.03963,
        0.0359693,
        0.0309165,
        0.027094,
        0.0259083,
        0.026152,
        0.0265426,
        0.0266067,
        0.0262863,
        0.0255766,
        0.0247256,
        0.0278738,
        0.0268741,
        0.0254207,
        0.0260366,
        0.0263264,
        0.0263066,
        0.0261913,
        0.0259936,
        0.0260913,
        0.0264344,
        0.0295198,
        0.030437,
        0.0300286,
        0.0323888,
        0.0346396,
        0.0365563,
        0.0381526,
        0.0404163,
        0.0456628,
        0.0535303,
        0.0616125,
        0.0632899,
        0.0581038,
        0.0489021,
        0.0434259,
        0.0411687,
        0.0418537,
        0.0444344,
        0.0477184,
        0.0569627,
        0.065072,
        0.0698948,
        0.0767703,
        0.0911923,
        0.113846,
        0.145675,
        0.193668,
        0.157834,
        0.120993,
        0.0980144,
        0.0805653,
        0.0690472,
        0.0615649,
        0.0564033,
        0.0512468,
        0.0463715,
        0.0430513,
        0.0407439,
        0.0422532,
        0.0411751,
        0.0363778,
        0.0348524,
        0.0338305,
        0.0326517,
        0.0314645,
        0.0313913,
        0.0308645,
        0.0306123,
        0.0307152,
        0.030798,
        0.0315305,
        0.0330821,
        0.034701,
        0.0366046,
        0.0381357,
        0.038706,
        0.0396796,
        0.0391008,
        0.0397259,
        0.0419822,
        0.0436951,
        0.0448168,
        0.0431173,
        0.0392903,
        0.0361559,
        0.0339887,
        0.0342691,
        0.0365118,
        0.0411019,
        0.0449864,
        0.0487697,
        0.0486512,
        0.0438434,
        0.0397422,
        0.0367771,
        0.0365238,
        0.0348226,
        0.0340704,
        0.0329111,
        0.0318899,
        0.0301642,
        0.029301,
        0.028542,
        0.0283311,
        0.028031,
        0.0282692,
        0.0281516,
        0.027959,
        0.0281228,
        0.0274418,
        0.0275859,
        0.0263377,
        0.0253919,
        0.0252821,
        0.0253694,
        0.0257675,
        0.0259692,
        0.0258328,
        0.0267579,
        0.0295891,
        0.0280045,
        0.0256904,
        0.0258054,
        0.0261389,
        0.0265735,
        0.0267179,
        0.0282268,
        0.0314686,
        0.0348616,
        0.0386829,
        0.0464253,
        0.0519654,
        0.0516326,
        0.0472253,
        0.0411797,
        0.0354207,
        0.0322207,
        0.0319416,
        0.032659,
        0.0337456,
        0.0354048,
        0.0361517,
        0.0360467,
        0.0346679,
        0.0327721,
        0.030893,
        0.0293422,
        0.0281185,
        0.0268815,
        0.0258747,
        0.0253891,
        0.0248797,
        0.0242762,
        0.0238367,
        0.0238918,
        0.0240373,
        0.02387,
        0.0245155,
        0.0259722,
        0.0283741,
        0.0314163,
        0.0351322,
        0.0379382,
        0.0346075,
        0.0294834,
        0.0292021,
        0.0271052,
        0.0249818,
        0.0248304,
        0.0247832,
        0.0253783,
        0.0257286,
        0.0257302,
        0.0258558,
        0.0261341,
        0.0259257,
        0.0256601,
        0.0256705,
        0.025542,
        0.0255389,
        0.0254378,
        0.0245921,
        0.0243713,
        0.0246195,
        0.0246208,
        0.0252861,
        0.0257093,
        0.0261035,
        0.027195,
        0.0299007,
        0.0326133,
        0.0315688,
        0.0300379,
        0.0294287,
        0.0286754,
        0.0287213,
        0.0303553,
        0.0335122,
        0.0372136,
        0.0390287,
        0.0391604,
        0.0358909,
        0.0316601,
        0.0287005,
        0.0275035,
        0.0272137,
        0.0279766,
        0.0315276,
        0.0320986,
        0.0304256,
        0.0310303,
        0.0314404,
        0.0310759,
        0.0318747,
        0.031498,
        0.0297882,
        0.029467,
        0.0300316,
        0.0323325,
        0.0353806,
        0.0391475,
        0.0432143,
        0.0446414,
        0.0397391,
        0.0352744,
        0.0319474,
        0.0302187,
        0.0286704,
        0.0285618,
        0.0281672,
        0.0280471,
        0.027258,
        0.027249,
        0.0270351,
        0.0267623,
        0.0265406,
        0.0267434,
        0.0262727,
        0.0266877,
        0.0271634,
        0.0274352,
        0.0275887,
        0.0286064,
        0.0286036,
        0.0282955,
        0.029055,
        0.0305762,
        0.0333729,
        0.0355023,
        0.0375667,
        0.0361381,
        0.032194,
        0.0292792,
        0.0278697,
        0.0272343,
        0.0269011,
        0.0271948,
        0.0281457,
        0.0301033,
        0.0334877,
        0.0391824,
        0.0475046,
        0.0554659,
        0.0583556,
        0.0492092,
        0.0386328,
        0.032074,
        0.0290699,
        0.0273045,
        0.0264481,
        0.0260437,
        0.0258556,
        0.0262871,
        0.0265285,
        0.0267417,
        0.0269472,
        0.0268624,
        0.0268322,
        0.027098,
        0.0285676,
        0.0314256,
        0.0353133,
        0.0394821,
        0.0427099,
        0.0407695,
        0.0354007,
        0.03215,
        0.0322062,
        0.0332541,
        0.0372859,
        0.0374854,
        0.0341733,
        0.0328466,
        0.0321753,
        0.0318174,
        0.0311964,
        0.0306073,
        0.0300105,
        0.029342,
        0.0291555,
        0.0290605,
        0.0286009,
        0.0287366,
        0.0285626,
        0.0289342,
        0.0299284,
        0.0317619,
        0.0341437,
        0.0368992,
        0.0387021,
        0.0386526,
        0.0363983,
        0.0336064,
        0.0330654,
        0.0328519,
        0.0329146,
        0.0334962,
        0.0350572,
        0.0382883,
        0.0428087,
        0.0463179,
        0.0488493,
        0.0469482,
        0.0445771,
        0.045064,
        0.0485153,
        0.0544941,
        0.0576202,
        0.0574904,
        0.0499912,
        0.0423817,
        0.042742,
        0.0435395,
        0.0422464,
        0.0419832,
        0.0415117,
        0.0409954,
        0.0397475,
        0.0382058,
        0.0371545,
        0.0364847,
        0.0352799,
        0.0332469,
        0.036145,
        0.0356262,
        0.0320344,
        0.0341921,
        0.0336292,
        0.0312907,
        0.031357,
        0.0309626,
        0.0305926,
        0.0323564,
        0.0325509,
        0.0314968,
        0.0343106,
        0.0349419,
        0.032862,
        0.0334409,
        0.0337146,
        0.0341413,
        0.0343418,
        0.0345227,
        0.0360693,
        0.0368415,
        0.037735,
        0.0397403,
        0.0437862,
        0.0501721,
        0.0573562,
        0.0646659,
        0.07105,
        0.0744949,
        0.079216,
        0.0879774,
        0.096635,
        0.0922544,
        0.0891352,
        0.0833116,
        0.087266,
        0.0929492,
        0.105647,
        0.123103,
        0.142443,
        0.151811,
        0.193906,
        0.228724,
        0.200685,
        0.166727,
        0.147144,
        0.131303,
        0.121934,
        0.122157,
        0.12581,
        0.122887,
        0.112442,
        0.0923359,
        0.0797466,
        0.0694125,
        0.0644601,
        0.0605213,
        0.0542757,
        0.0512348,
        0.0501568,
        0.0496543,
        0.0468198,
        0.0460368,
        0.0448973,
        0.0441147,
        0.0435329,
        0.0426712,
        0.0429923,
        0.0425321,
        0.0415536,
        0.0406388,
        0.041178,
        0.0432323,
        0.0450486,
        0.0453963,
        0.0471053,
        0.0476582,
        0.0433067,
        0.0383955,
        0.0370564,
        0.0367944,
        0.0369526,
        0.0366066,
        0.0366362,
        0.0367605,
        0.0391268,
        0.0420494,
        0.0469137,
        0.0519013,
        0.0547165,
        0.0509852,
        0.0440464,
        0.0398862,
        0.0386038,
        0.0380287,
        0.0381099,
        0.0379651,
        0.0376271,
        0.0380427,
        0.0374773,
        0.0380792,
        0.0381772,
        0.0391716,
        0.039662,
        0.0415725,
        0.0457944,
        0.0519062,
        0.0595569,
        0.0632185,
        null,
        0.0291359,
        0.0284161,
        0.0284536,
        0.0293281,
        0.0301035,
        0.0301268,
        0.0309942,
        0.0344422,
        0.039514,
        0.0442852,
        0.043835,
        0.0377976,
        0.0326569,
        0.0309705,
        0.0307865,
        0.0312032,
        0.0317727,
        0.0324987,
        0.0323299,
        0.0314772,
        0.0303262,
        0.0292562,
        0.0283739,
        0.0278611,
        0.0274145,
        0.0271193,
        0.0270247,
        0.0305413,
        0.0321047,
        0.0285517,
        0.0276032,
        0.0277821,
        0.0277595,
        0.0282748,
        0.0292238,
        0.0311532,
        0.0345227,
        0.0390202,
        0.0439881,
        0.0469237,
        0.0449115,
        0.0418445,
        0.0391179,
        0.0366289,
        0.0353653,
        0.0357999,
        0.0370726,
        0.0385776,
        0.040722,
        0.0426411,
        0.0453482,
        0.0488988,
        0.0536908,
        0.0617692,
        0.0719828,
        0.0798751,
        0.090758,
        0.111472,
        0.149159,
        0.172819,
        0.138507,
        0.116157,
        0.10357,
        0.0986011,
        0.0967851,
        0.0936497,
        0.086006,
        0.0708742,
        0.0571504,
        0.0487568,
        0.0437281,
        0.0412335,
        0.0395528,
        0.0371617,
        0.0357341,
        0.0359752,
        0.0372903,
        0.0392565,
        0.0399726,
        0.0381859,
        0.0346844,
        0.0316964,
        0.03015,
        0.0295267,
        0.028833,
        0.0282142,
        0.0276014,
        0.0271092,
        0.0268373,
        0.0267716,
        0.0270918,
        0.027758,
        0.0293393,
        0.0327782,
        0.0385892,
        0.046724,
        0.0537133,
        0.0517969,
        0.0417015,
        0.0336178,
        0.0293159,
        0.0274138,
        0.0263712,
        0.0258236,
        0.0253436,
        0.0250756,
        0.0249131,
        0.025182,
        0.0252828,
        0.0252085,
        0.0250179,
        0.0247194,
        0.0246003,
        0.0247022,
        0.0247413,
        0.0247154,
        0.0271645,
        0.0282779,
        0.0250982,
        0.0236157,
        0.0234765,
        0.0235156,
        0.0235979,
        0.0237123,
        0.0236788,
        0.0240609,
        0.0248827,
        0.024573,
        0.0242631,
        0.0243354,
        0.0240373,
        0.0238086,
        0.0237411,
        0.0240275,
        0.0251275,
        0.0272329,
        0.0307048,
        0.0346963,
        0.0369509,
        0.0352583,
        0.0309679,
        0.0278886,
        0.0273711,
        0.0291093,
        0.0330574,
        0.0386849,
        0.0423882,
        0.0409919,
        0.0360414,
        0.0315366,
        0.028667,
        0.0274029,
        0.0263894,
        0.0257954,
        0.0253982,
        0.0250574,
        0.0247619,
        0.024529,
        0.0243823,
        0.0242309,
        0.0242514,
        0.026077,
        0.0288959,
        0.0270888,
        0.025893,
        0.0259743,
        0.026535,
        0.0271059,
        0.0277873,
        0.0287801,
        0.0300839,
        0.0313101,
        0.0319269,
        0.0331025,
        0.0346215,
        0.0370409,
        0.0399025,
        0.0422921,
        0.0398351,
        0.0340847,
        0.0295551,
        0.0283057,
        0.0292087,
        0.0261977,
        0.0247532,
        0.0251979,
        0.0259309,
        0.0272682,
        0.0292685,
        0.0309934,
        0.0311924,
        0.0282178,
        0.0257205,
        0.0243101,
        0.0235212,
        0.0230637,
        0.0227218,
        0.0225473,
        0.0224035,
        0.0225257,
        0.0228431,
        0.0234222,
        0.0245661,
        0.0257493,
        0.0273047,
        0.0271697,
        0.0265919,
        0.0277852,
        0.0306412,
        0.0337392,
        0.0351997,
        0.0331981,
        0.0293527,
        0.0271543,
        0.0266019,
        0.0284531,
        0.0316269,
        0.0360547,
        0.0392864,
        0.036088,
        0.0309141,
        0.0271478,
        0.025021,
        0.0244382,
        0.0272213,
        0.0261121,
        0.0236815,
        0.0239145,
        0.0241815,
        0.0243237,
        0.0247055,
        0.0249754,
        0.0253057,
        0.0260045,
        0.0276636,
        0.0277803,
        0.026758,
        0.0263811,
        0.0257805,
        0.0253566,
        0.0250088,
        0.0250205,
        0.0251281,
        0.0255174,
        0.0283337,
        0.0291071,
        0.0277454,
        0.0300112,
        0.0329676,
        0.0376225,
        0.0416377,
        0.0425558,
        0.0425296,
        0.0393848,
        0.0343594,
        0.0318615,
        0.0346096,
        0.0337157,
        0.0292731,
        0.0289505,
        0.0283856,
        0.0279086,
        0.0272936,
        0.0271003,
        0.0266131,
        0.026568,
        0.0261389,
        0.0260015,
        0.0259521,
        0.0254549,
        0.0249707,
        0.0245645,
        0.0246464,
        0.0249355,
        0.0261536,
        0.0284868,
        0.032753,
        0.0378306,
        0.0424993,
        0.0425918,
        0.0382258,
        0.0341232,
        0.0327999,
        0.032535,
        0.0330027,
        0.0338032,
        0.0343484,
        0.0367122,
        0.040369,
        0.044461,
        0.0462326,
        0.0455624,
        0.0398206,
        0.03571,
        0.0360774,
        0.0389036,
        0.0423066,
        0.0433906,
        0.0405643,
        0.0355415,
        0.0338499,
        0.0390659,
        0.0409446,
        0.0398143,
        0.0404508,
        0.0377287,
        0.0350354,
        0.034153,
        0.0343621,
        0.0343338,
        0.0352744,
        0.0374054,
        0.0392385,
        0.0412436,
        0.0434669,
        0.0450262,
        0.0466558,
        0.0499601,
        0.0555384,
        0.0664981,
        0.0833142,
        0.112446,
        0.1681,
        0.202432,
        0.136059,
        0.0996686,
        0.0769283,
        0.0630125,
        0.0551201,
        0.0490937,
        0.0448099,
        0.0416023,
        0.0393614,
        0.0374795,
        0.0357492,
        0.034361,
        0.0332421,
        0.0318704,
        0.0309703,
        0.0298232,
        0.0294774,
        0.0288117,
        0.0282216,
        0.0280717,
        0.0278271,
        0.0274555,
        0.0278266,
        0.0268997,
        0.0258732,
        0.0254886,
        0.0250911,
        0.0248036,
        0.024797,
        0.0255683,
        0.0275181,
        0.029833,
        0.031614,
        0.0325601,
        0.0319888,
        0.0322378,
        0.0341373,
        0.0357266,
        0.0348444,
        0.0311506,
        0.0272099,
        0.0252576,
        0.0251501,
        0.0259848,
        0.0278646,
        0.0310828,
        0.0355857,
        0.0398753,
        0.0402657,
        0.035742,
        0.0311513,
        0.0287772,
        0.0271786,
        0.0258138,
        0.0249307,
        0.0242755,
        0.0236897,
        0.0237515,
        0.0240143,
        0.0244226,
        0.0251249,
        0.0260294,
        0.026894,
        0.0274873,
        0.0276101,
        0.0270499,
        0.0265282,
        0.0263017,
        0.0259989,
        0.0261104,
        0.0264571,
        0.0269516,
        0.0282734,
        0.0301725,
        0.0317292,
        0.0334978,
        0.0340379,
        0.0342062,
        0.0356956,
        0.0389621,
        0.0441957,
        0.0484958,
        0.0493916,
        0.0444248,
        0.0406293,
        0.0397683,
        0.0419993,
        0.0442584,
        0.0458759,
        0.0463085,
        0.0424686,
        0.037552,
        0.0351271,
        0.0351039,
        0.0362878,
        0.0381781,
        0.0386717,
        0.0386578,
        0.0384587,
        0.0380738,
        0.0376199,
        0.0363888,
        0.0353404,
        0.0349984,
        0.0355594,
        0.0363683,
        0.0378022,
        0.0396065,
        0.0410769,
        0.0421766,
        0.0421148,
        0.0430965,
        0.0465046,
        0.0540197,
        0.0659582,
        0.0798921,
        0.08695,
        0.0855646,
        0.075105,
        0.0625237,
        0.0534903,
        0.0492489,
        0.0494387,
        0.051223,
        0.0530053,
        0.0561881,
        0.0589341,
        0.0601987,
        0.0610924,
        0.0610517,
        0.0620643,
        0.0652509,
        0.0700478,
        0.0749448,
        0.0791538,
        0.0809847,
        0.0813992,
        0.0851954,
        0.090857,
        0.0980725,
        0.106614,
        0.108817,
        0.115169,
        0.119962,
        0.132152,
        0.147863,
        0.165013,
        0.195132,
        0.215052,
        0.230808,
        0.241229,
        0.176651,
        0.14035,
        0.104531,
        0.0843585,
        0.0709353,
        0.0595951,
        0.0522968,
        0.0469927,
        0.0420413,
        0.0381839,
        0.035226,
        0.0330532,
        0.0318942,
        0.0308826,
        0.0299175,
        0.029461,
        0.0307103,
        0.0305788,
        0.0304214,
        0.0331412,
        0.0362364,
        0.0399789,
        0.0413006,
        0.0372813,
        0.0309761,
        0.0266738,
        0.0251765,
        0.0241672,
        0.0237263,
        0.0241124,
        0.0247647,
        0.025226,
        0.0254024,
        0.0248394,
        0.0241162,
        0.0235321,
        0.023791,
        0.0275631,
        0.0302774,
        0.0315571,
        0.0360476,
        0.0420611,
        0.0466346,
        0.0472047,
        0.0488023,
        0.0471599,
        0.0395228,
        0.0309758,
        0.0256288,
        0.0227457,
        0.0214659,
        0.0209805,
        0.0205239,
        0.0207564,
        0.0201375,
        0.0201384,
        0.0201565,
        0.0209513,
        0.0210468,
        0.0207056,
        0.0205229,
        0.0211163,
        0.0218503,
        0.0241648,
        0.0273589,
        0.0311425,
        0.0337043,
        0.032407,
        0.0281136,
        0.02578,
        0.0256183,
        0.0265914,
        0.0289137,
        0.0301149,
        0.0286916,
        0.0250778,
        0.0223435,
        0.0211522,
        0.0207068,
        0.0202753,
        0.020128,
        0.0201311,
        0.0201665,
        0.020209,
        0.0201293,
        0.0201748,
        0.0201257,
        0.0201623,
        0.0203236,
        0.0202674,
        0.0204838,
        0.0205181,
        0.0205853,
        0.0208526,
        0.0208316,
        0.0210305,
        0.0212664,
        0.021356,
        0.0220088,
        0.02252,
        0.0231688,
        0.0248177,
        0.0268055,
        0.0288726,
        0.0301377,
        0.0300028,
        0.0287734,
        0.0274809,
        0.0278879,
        0.0282189,
        0.0284805,
        0.0295816,
        0.0312794,
        0.0338375,
        0.0358666,
        0.0368396,
        0.0354376,
        0.0313988,
        0.027441,
        0.025715,
        0.0250867,
        0.0248105,
        0.0254151,
        0.0269633,
        0.0295352,
        0.0321778,
        0.034099,
        0.032954,
        0.028558,
        0.024804,
        0.0229037,
        0.0218607,
        0.0212057,
        0.0206504,
        0.0205425,
        0.0203405,
        0.0204074,
        0.0204046,
        0.0206155,
        0.0205639,
        0.0204196,
        0.0203535,
        0.0208656,
        0.0213643,
        0.0217954,
        0.0220589,
        0.0218026,
        0.02184,
        0.0215711,
        0.0212978,
        0.0211857,
        0.021165,
        0.0209523,
        0.0214122,
        0.021986,
        0.0228142,
        0.0241486,
        0.0251881,
        0.0260743,
        0.0259112,
        0.0261151,
        0.0280748,
        0.0319677,
        0.036154,
        0.0410143,
        0.0436034,
        0.0398403,
        0.036297,
        0.0330121,
        0.0301152,
        0.0277728,
        0.0266025,
        0.0268333,
        0.0277092,
        0.0286546,
        0.030233,
        0.0323671,
        0.0354997,
        0.0400917,
        0.0448091,
        0.0478022,
        0.048684,
        0.043855,
        0.0382161,
        0.03436,
        0.0316522,
        0.0294388,
        0.028274,
        0.0276908,
        0.0274146,
        0.0274062,
        0.0280563,
        0.0298868,
        0.0328039,
        0.0373061,
        0.0439628,
        0.0496047,
        0.0467994,
        0.0402219,
        0.0338615,
        0.0288179,
        0.0257203,
        0.024226,
        0.0234654,
        0.0232155,
        0.0231637,
        0.0230534,
        0.0229778,
        0.0230734,
        0.0232828,
        0.0237399,
        0.0240987,
        0.024342,
        0.0240838,
        0.0237046,
        0.0234382,
        0.0233264,
        0.0237868,
        0.0236913,
        0.0230305,
        0.0231705,
        0.0232118,
        0.0235926,
        0.0246089,
        0.0261853,
        0.0276014,
        0.0288585,
        0.0285784,
        0.0265889,
        0.0246059,
        0.0235391,
        0.022956,
        0.0228815,
        0.022993,
        0.0231185,
        0.0233577,
        0.0239796,
        0.0251086,
        0.0272587,
        0.0298552,
        0.032052,
        0.0321231,
        0.029215,
        0.0262387,
        0.0255849,
        0.0255657,
        0.0245214,
        0.0239095,
        0.0241062,
        0.0243323,
        0.0248284,
        0.0256306,
        0.0262082,
        0.0265364,
        0.0267543,
        0.0266883,
        0.0267688,
        0.0270813,
        0.0272943,
        0.0277316,
        0.0284285,
        0.0288126,
        0.0288853,
        0.0288234,
        0.0282589,
        0.0278018,
        0.0282188,
        0.0296376,
        0.0320274,
        0.0356643,
        0.040573,
        0.0448811,
        0.0447908,
        0.0397004,
        0.0351178,
        0.0330393,
        0.03119,
        0.0297856,
        0.0299218,
        0.0299257,
        0.0303039,
        0.0311441,
        0.0325875,
        0.0343798,
        0.0370359,
        0.0388639,
        0.0387256,
        0.0374272,
        0.0370776,
        0.0374309,
        0.0386853,
        0.0418479,
        0.0449327,
        0.0456387,
        0.0448784,
        0.0447533,
        0.0486852,
        0.0580924,
        0.0726841,
        0.0885505,
        0.0916713,
        0.0822949,
        0.0714583,
        0.0657714,
        0.0678456,
        0.0757004,
        0.0916054,
        0.114691,
        0.155409,
        0.219714,
        0.241551,
        0.183362,
        0.133113,
        0.0923503,
        0.0751534,
        0.0671394,
        0.0623592,
        0.0602361,
        0.0613144,
        0.0650322,
        0.0691577,
        0.0742401,
        0.0768174,
        0.0726229,
        0.0660946,
        0.0638383,
        0.0658775,
        0.0718265,
        0.0752024,
        0.0748484,
        0.0731159,
        0.0789422,
        0.0835616,
        0.0861187,
        0.0913432,
        0.0975694,
        0.0992181,
        0.0984108,
        0.104333,
        0.109404,
        0.110576,
        0.119697,
        0.131067,
        0.14359,
        0.162332,
        0.236797,
        0.215022,
        0.197795,
        0.180074,
        0.162601,
        0.154373,
        0.151321,
        0.150726,
        0.141904,
        0.14441,
        0.144312,
        0.149544,
        0.152479,
        0.166844,
        0.190112,
        0.229868,
        0.286154,
        0.2024,
        0.178129,
        0.176773,
        0.172736,
        0.164219,
        0.161994,
        0.13868,
        0.11,
        0.0865994,
        0.0715372,
        0.0622572,
        0.0574152,
        0.0533562,
        0.0502129,
        0.0478547,
        0.0460887,
        0.0441247,
        0.0432118,
        0.041981,
        0.0401274,
        0.0390049,
        0.038718,
        0.038935,
        0.0391542,
        0.039026,
        0.038626,
        0.0378309,
        0.0373194,
        0.0371647,
        0.0376032,
        0.0398668,
        0.0433743,
        0.0473744,
        0.0498672,
        0.0477761,
        0.0418703,
        0.0364399,
        0.0336239,
        0.0342943,
        0.0368923,
        0.0398467,
        0.0425851,
        0.043005,
        0.0379683,
        0.0338324,
        0.0318653,
        0.0303007,
        0.0292336,
        0.0287185,
        0.0281177,
        0.0277506,
        0.027632,
        0.027159,
        0.026961,
        0.0267589,
        0.0265181,
        0.0261425,
        0.0258063,
        0.0256157,
        0.0257752,
        0.0262538,
        0.0273936,
        0.0288392,
        0.0298224,
        0.0301827,
        0.0286629,
        0.0263058,
        0.0247234,
        0.0240856,
        0.023862,
        0.0237488,
        0.0239306,
        0.024078,
        0.023975,
        0.024021,
        0.0240982,
        0.0243626,
        0.0268817,
        0.0280748,
        0.0255637,
        0.0249844,
        0.0258004,
        0.0273837,
        0.0295258,
        0.031178,
        0.0306911,
        0.0278357,
        0.0252943,
        0.024291,
        0.0240477,
        0.02417,
        0.0242866,
        0.024133,
        0.0239357,
        0.0238525,
        0.0239797,
        0.0257635,
        0.026368,
        0.0245186,
        0.0237181,
        0.0236024,
        0.0236034,
        0.0235555,
        0.0236268,
        0.0239067,
        0.024293,
        0.0247752,
        0.0251103,
        0.0253372,
        0.0257227,
        0.0264865,
        0.0277716,
        0.0296664,
        0.0326276,
        0.0374239,
        0.0424357,
        0.0477138,
        0.0487448,
        0.0455818,
        0.0442453,
        0.0448896,
        0.0456139,
        0.0470086,
        0.0508759,
        0.0572061,
        0.0664707,
        0.082858,
        0.109414,
        0.13448,
        0.129142,
        0.103135,
        0.0792564,
        0.0629088,
        0.0539991,
        0.0485472,
        0.045089,
        0.043669,
        0.0411376,
        0.0366928,
        0.035028,
        0.0333259,
        0.0297004,
        0.0273529,
        0.0264854,
        0.0260382,
        0.0260805,
        0.026184,
        0.0265814,
        0.0282629,
        0.0311868,
        0.0364551,
        0.0429573,
        0.0463296,
        0.0438673,
        0.0397099,
        0.0351141,
        0.0319562,
        0.0312605,
        0.032687,
        0.0343015,
        0.0330005,
        0.0289035,
        0.0252789,
        0.023458,
        0.0234746,
        0.0237956,
        0.0235757,
        0.0231735,
        0.0232556,
        0.0237482,
        0.0242553,
        0.0246277,
        0.0243399,
        0.0242993,
        0.0254395,
        0.0293928,
        0.0325593,
        0.0322034,
        0.0304304,
        0.0269891,
        0.0243422,
        0.023154,
        0.0228269,
        0.0225506,
        0.0221996,
        0.0222735,
        0.0229899,
        0.0237794,
        0.0228824,
        0.0239186,
        0.0253104,
        0.0240917,
        0.0240767,
        0.0252883,
        0.0265852,
        0.0274264,
        0.0267867,
        0.025296,
        0.0238253,
        0.0234464,
        0.0236998,
        0.0243875,
        0.0255521,
        0.0261845,
        0.0254247,
        0.0251331,
        0.0252403,
        0.0255774,
        0.0262571,
        0.0268797,
        0.0305836,
        0.0321356,
        0.0283699,
        0.026866,
        0.0266462,
        0.0274706,
        0.0296189,
        0.0323449,
        0.0356794,
        0.0371459,
        0.0356046,
        0.0319036,
        0.0289938,
        0.0278604,
        0.0276507,
        0.0279763,
        0.0286953,
        0.0302411,
        0.0330057,
        0.0372678,
        0.0418784,
        0.0450271,
        0.043137,
        0.0387463,
        0.0349706,
        0.0366038,
        0.0390549,
        0.035956,
        0.0342281,
        0.034938,
        0.0355059,
        0.036446,
        0.0372586,
        0.0382624,
        0.0393003,
        0.0411537,
        0.0441298,
        0.0475114,
        0.0516324,
        0.054815,
        0.0568021,
        0.0581295,
        0.059536,
        0.0622698,
        0.0665354,
        0.0725329,
        0.0806552,
        0.0888143,
        0.101773,
        0.116086,
        0.138019,
        0.171907,
        0.217438,
        0.221205,
        0.174777,
        0.138308,
        0.116734,
        0.104066,
        0.0936846,
        0.0850899,
        0.079179,
        0.0733759,
        0.0671862,
        0.061091,
        0.0568546,
        0.0541626,
        0.0526093,
        0.0512032,
        0.0498444,
        0.0508086,
        0.0531659,
        0.0565545,
        0.0615549,
        0.0656291,
        0.0633854,
        0.0582358,
        0.0541803,
        0.0535438,
        0.0597594,
        0.0682852,
        0.0739644,
        0.0698396,
        0.0725105,
        0.0831233,
        0.102002,
        0.132887,
        0.195681,
        0.185784,
        0.131819,
        0.0996436,
        0.0759802,
        0.0615648,
        0.0535884,
        0.0473192,
        0.0421545,
        0.0385675,
        0.0363855,
        0.035389,
        0.0352271,
        0.0356007,
        0.0357364,
        0.0351486,
        0.0327467,
        0.0302983,
        0.0287473,
        0.0281751,
        0.0278255,
        0.027668,
        0.0272621,
        0.0266924,
        0.0262108,
        0.0256669,
        0.0255547,
        0.0255817,
        0.0254583,
        0.0253444,
        0.0255848,
        0.0256686,
        0.0261375,
        0.0263613,
        0.0263244,
        0.0261001,
        0.0259211,
        0.0255754,
        0.0258429,
        0.0271012,
        0.0293632,
        0.0311754,
        0.0322162,
        0.0307769,
        0.0280062,
        0.0260043,
        0.0251439,
        0.0248014,
        0.0245573,
        0.0248606,
        0.0252429,
        0.0254133,
        0.0259115,
        0.0265195,
        0.0261301,
        0.02561,
        0.0253484,
        0.0251928,
        0.0253973,
        0.0253554,
        0.0254335,
        0.0255728,
        0.0259393,
        0.0265273,
        0.027826,
        0.029274,
        0.0344122,
        0.0393532,
        0.0391248,
        0.03756,
        0.0388396,
        0.0430256,
        0.0481022,
        0.0510988,
        0.049662,
        0.0478017,
        0.0492341,
        0.0534322,
        0.0601624,
        0.069689,
        0.0829562,
        0.102094,
        0.132329,
        0.180798,
        0.144138,
        0.103604,
        0.0812856,
        0.0681623,
        0.0608735,
        0.0566952,
        0.0529323,
        0.0502065,
        0.0459561,
        0.0390945,
        0.0337161,
        0.0314776,
        0.0305017,
        0.0295667,
        0.0289043,
        0.0284959,
        0.028201,
        0.0280006,
        0.0281144,
        0.0284042,
        0.0284338,
        0.027966,
        0.0275324,
        0.0270931,
        0.0268726,
        0.0274102,
        0.0302605,
        0.0336681,
        0.0363516,
        0.0399418,
        0.0420757,
        0.0422456,
        0.0454914,
        0.0472732,
        0.0442679,
        0.0387531,
        0.0333213,
        0.028792,
        0.0265735,
        0.0254916,
        0.0247608,
        0.0241859,
        0.0255752,
        0.0269429,
        0.0251504,
        0.0238837,
        0.0239795,
        0.0240365,
        0.0242048,
        0.0247442,
        0.0257698,
        0.0272894,
        0.0291675,
        0.0313586,
        0.0324597,
        0.0316797,
        0.0290352,
        0.0266255,
        0.0256561,
        0.0253741,
        0.0254746,
        0.0260016,
        0.0274231,
        0.0288295,
        0.029888,
        0.0308442,
        0.030449,
        0.0281098,
        0.0264952,
        0.0263941,
        0.0269632,
        0.0277186,
        0.0282646,
        0.0286873,
        0.0287959,
        0.0284199,
        0.0285984,
        0.0290643,
        0.0298566,
        0.0315316,
        0.0329636,
        0.0344293,
        0.0357195,
        0.0366099,
        0.0368514,
        0.0368765,
        0.0380227,
        0.0408223,
        0.0432571,
        0.0467085,
        0.0504639,
        0.054556,
        0.0603843,
        0.0676044,
        0.0759726,
        0.0903615,
        0.110214,
        0.136018,
        0.16364,
        0.206972,
        0.265074,
        0.325642,
        0.169578,
        0.138778,
        0.117836,
        0.0992438,
        0.0843633,
        0.0697688,
        0.0566312,
        0.0476837,
        0.0425656,
        0.0402766,
        0.0388924,
        0.0379521,
        0.0368887,
        0.0358053,
        0.033729,
        0.0309001,
        0.0295881,
        0.0291627,
        0.0282029,
        0.0268983,
        0.0263299,
        0.0266578,
        0.0290594,
        0.0295179,
        0.0252705,
        0.024642,
        0.0244831,
        0.0246441,
        0.0244562,
        0.0242508,
        0.024379,
        0.0242026,
        0.0243666,
        0.0243067,
        0.0247943,
        0.0247735,
        0.0246398,
        0.0247041,
        0.0252267,
        0.0253936,
        0.026014,
        0.0272574,
        0.0286788,
        0.0307117,
        0.0326169,
        0.0319329,
        0.0303548,
        0.0279526,
        0.026573,
        0.0276288,
        0.0278208,
        0.0275798,
        0.0334861,
        0.0356624,
        0.0346832,
        0.0359459,
        0.0354559,
        0.0321259,
        0.0297297,
        0.0286324,
        0.0283172,
        0.0284408,
        0.0286416,
        0.0292723,
        0.0294873,
        0.0300662,
        0.0332142,
        0.0317424,
        0.0302589,
        0.0313003,
        0.0333738,
        0.036619,
        0.0415676,
        0.0450043,
        0.0456063,
        0.0428118,
        0.0362804,
        0.0310907,
        0.0281023,
        0.0268497,
        0.025863,
        0.0250861,
        0.0244597,
        0.0237338,
        0.0235351,
        0.0235928,
        0.0231779,
        0.0230667,
        0.0231655,
        0.0235101,
        0.0244001,
        0.0258973,
        0.0276644,
        0.0298159,
        0.0308967,
        0.0296452,
        0.0266107,
        0.0243135,
        0.0236867,
        0.0239802,
        0.0247966,
        0.0258968,
        0.0271542,
        0.0272269,
        0.0270491,
        0.0246896,
        0.0230954,
        0.0229023,
        0.0228801,
        0.0230379,
        0.0231221,
        0.0231725,
        0.0239721,
        0.0241525,
        0.0232755,
        0.0233645,
        0.0238059,
        0.0244541,
        0.0248927,
        0.0247423,
        0.0242165,
        0.0240408,
        0.0238362,
        0.0237483,
        0.0237897,
        0.0238286,
        0.0241883,
        0.024243,
        0.024192,
        0.0236234,
        0.0234497,
        0.0235868,
        0.0236781,
        0.0241838,
        0.0257096,
        0.0275412,
        0.0304101,
        0.0313162,
        0.0296703,
        0.0275718,
        0.025529,
        0.0241568,
        0.0237771,
        0.0235455,
        0.0236493,
        0.0239804,
        0.0240734,
        0.0247151,
        0.0252188,
        0.0257282,
        0.0264836,
        0.0271855,
        0.0271342,
        0.0274071,
        0.0271667,
        0.0260209,
        0.0256165,
        0.0257408,
        0.0257215,
        0.0260617,
        0.0268556,
        0.0280702,
        0.0301753,
        0.0336062,
        0.0364324,
        0.0396193,
        0.0400206,
        0.0378153,
        0.0354066,
        0.0346817,
        0.0350108,
        0.0360843,
        0.0375213,
        0.0402569,
        0.0423588,
        0.05187,
        0.0568402,
        0.052708,
        0.055451,
        0.0580831,
        0.0628257,
        0.0688641,
        0.0697337,
        0.0789283,
        0.0916232,
        0.112451,
        0.142067,
        0.192703,
        0.277089,
        0.168579,
        0.12328,
        0.101506,
        0.0827533,
        0.0708857,
        0.0627077,
        0.0560097,
        0.0519084,
        0.0485645,
        0.0455973,
        0.0437754,
        0.0422725,
        0.0409969,
        0.0394336,
        0.0377045,
        0.0359571,
        0.0344006,
        0.0334885,
        0.0330308,
        0.0325488,
        0.0320202,
        0.0330973,
        0.0349639,
        0.038604,
        0.0432112,
        0.0482521,
        0.0529249,
        0.051765,
        0.0467822,
        0.0403331,
        0.0349917,
        0.0322601,
        0.0313073,
        0.0326204,
        0.034395,
        0.035441,
        0.0368898,
        0.0375003,
        0.0331798,
        0.0286511,
        0.0274893,
        0.0270157,
        0.0265859,
        0.0265418,
        0.0262303,
        0.0261623,
        0.0266725,
        0.0269286,
        0.0274904,
        0.029542,
        0.0327403,
        0.0369524,
        0.0391129,
        0.0401405,
        0.0392771,
        0.0369789,
        0.0339059,
        0.031316,
        0.0300247,
        0.0299079,
        0.0304728,
        0.0310869,
        0.0323148,
        0.0339565,
        0.0362709,
        0.0391971,
        0.0414625,
        0.0418889,
        0.0424379,
        0.0405453,
        0.0378669,
        0.0356163,
        0.0340386,
        0.0323741,
        0.0310391,
        0.0297744,
        0.0284692,
        0.0274008,
        0.0270327,
        0.0263745,
        0.0258794,
        0.0259884,
        0.0261283,
        0.0260208,
        0.0261243,
        0.0258754,
        0.025592,
        0.0255824,
        0.0257479,
        0.0264265,
        0.0277862,
        0.0294444,
        0.0311125,
        0.0324158,
        0.0319743,
        0.0298169,
        0.0284416,
        0.0276729,
        0.0268545,
        0.0272894,
        0.028201,
        0.0301268,
        0.0329353,
        0.0358299,
        0.0382384,
        0.0378037,
        0.034313,
        0.0306224,
        0.0285621,
        0.0273969,
        0.0268007,
        0.0265752,
        0.0265223,
        0.0264621,
        0.0267941,
        0.0268029,
        0.02684,
        0.027253,
        0.0274125,
        0.0273674,
        0.0273787,
        0.0273921,
        0.0274803,
        0.0274058,
        0.0277843,
        0.0280674,
        0.0285254,
        0.0297623,
        0.0302721,
        0.0299669,
        0.029522,
        0.0299361,
        0.0303986,
        0.0305419,
        0.0304128,
        0.0305031,
        0.0307845,
        0.031177,
        0.0308529,
        0.0303246,
        0.0303312,
        0.0308492,
        0.0321803,
        0.0337823,
        0.0352788,
        0.035823,
        0.035611,
        0.0337057,
        0.0324283,
        0.0314764,
        0.0307464,
        0.030803,
        0.0301789,
        0.0301245,
        0.0303882,
        0.0306175,
        0.0315672,
        0.0333845,
        0.035445,
        0.0376021,
        0.0395282,
        0.0396165,
        0.0369445,
        0.0340082,
        0.0327689,
        0.0326488,
        0.0324033,
        0.0327561,
        0.0333729,
        0.0340206,
        0.0352168,
        0.0367082,
        0.0400516,
        0.0443071,
        0.0502247,
        0.0575045,
        0.0649779,
        0.0678912,
        0.066514,
        0.0636784,
        0.0636247,
        0.0624883,
        0.0622511,
        0.064672,
        0.0693863,
        0.0754086,
        0.088433,
        0.107862,
        0.135997,
        0.17767,
        0.25924,
        0.423282,
        0.110544,
        0.10292,
        0.0990983,
        0.0927543,
        0.0851316,
        0.0744744,
        0.067859,
        0.0614704,
        0.0594074,
        0.0530801,
        0.0467209,
        0.0449117,
        0.044127,
        0.0443897,
        0.0445382,
        0.0449892,
        0.0451916,
        0.0451362,
        0.0453069,
        0.0448045,
        0.0461563,
        0.0472788,
        0.0475582,
        0.0498827,
        0.0518975,
        0.0559882,
        0.0594306,
        0.0646053,
        0.0737152,
        0.0815279,
        0.0960982,
        0.117366,
        0.145532,
        0.189048,
        0.252639,
        0.323172,
        0.189316,
        0.175382,
        0.170038,
        0.172154,
        0.188091,
        0.24042,
        0.404456,
        0.352819,
        0.200135,
        0.178576,
        0.152501,
        0.133452,
        0.119065,
        0.103065,
        0.090102,
        0.0802736,
        0.0735489,
        0.0670631,
        0.0640967,
        0.0663494,
        0.066472,
        0.0661874,
        0.0642893,
        0.0587989,
        0.0509911,
        0.0467998,
        0.0440311,
        0.0420356,
        0.0407754,
        0.039696,
        0.0384424,
        0.0377519,
        0.0371431,
        0.0364297,
        0.0357057,
        0.0348656,
        0.0347043,
        0.0345335,
        0.0345583,
        0.0335023,
        0.0332034,
        0.0342221,
        0.0332298,
        0.0331134,
        0.0332728,
        0.0336392,
        0.0350325,
        0.0358833,
        0.0375647,
        0.0388647,
        0.0382364,
        0.0363344,
        0.0343046,
        0.0332001,
        0.0334304,
        0.0332385,
        0.0337152,
        0.0341679,
        0.0336856,
        0.0348496,
        0.0345463,
        0.0358186,
        0.0375041,
        0.0347611,
        0.0339401,
        0.0345037,
        0.0352954,
        0.0354468,
        0.0357549,
        0.0352454,
        0.034901,
        0.0352804,
        0.035506,
        0.0347552,
        0.0354258,
        0.0357637,
        0.0387392,
        0.0408166,
        0.0418593,
        0.0442837,
        0.0495152,
        0.0465409,
        0.0396422,
        0.0373364,
        0.0376322,
        0.0395071,
        0.0419602,
        0.0443702,
        0.0465326,
        0.0460619,
        0.0425805,
        0.0398466,
        0.0393041,
        0.0388591,
        0.0376769,
        0.0363692,
        0.0364112,
        0.0371456,
        0.0387083,
        0.0417401,
        0.0445588,
        0.0448199,
        0.0413865,
        0.0390279,
        0.0375816,
        0.0384062,
        0.0391755,
        0.0394347,
        0.0386494,
        0.0378622,
        0.037969,
        0.0394935,
        0.0429431,
        0.0458265,
        0.0468467,
        0.0447837,
        0.0424348,
        0.0418385,
        0.0423175,
        0.0422862,
        0.043584,
        0.0454526,
        0.0484488,
        0.0518497,
        0.0558228,
        0.0596728,
        0.0620147,
        0.0623222,
        0.06233,
        0.0622139,
        0.0644717,
        0.0652347,
        0.0676157,
        0.0742583,
        0.0815966,
        0.0900376,
        0.103772,
        0.125666,
        0.155791,
        0.213717,
        0.293937,
        0.446585,
        0.507404,
        0.282973,
        0.208568,
        0.155309,
        0.13229,
        0.11118,
        0.10485,
        0.095887,
        0.0924279,
        0.0858844,
        null,
        0.220479,
        0.185391,
        0.156227,
        0.133873,
        0.12258,
        0.115725,
        0.11612,
        0.119506,
        0.132915,
        0.159739,
        0.217125,
        0.165241,
        0.134902,
        0.116407,
        0.107297,
        0.10319,
        0.103302,
        0.108793,
        0.119678,
        0.138148,
        0.271106,
        0.21496,
        0.191264,
        0.184449,
        0.18389,
        0.193406,
        0.209288,
        0.235363,
        0.298347,
        null,
        0.157954,
        0.133564,
        0.118239,
        0.103296,
        0.0940025,
        0.0850531,
        0.0790142,
        0.0726971,
        0.068897,
        0.070825,
        0.0641577,
        0.0565174,
        0.0538721,
        0.0515459,
        0.0493151,
        0.0475112,
        0.0461028,
        0.0452199,
        0.0442834,
        0.0439636,
        0.0432604,
        0.0428331,
        0.0418306,
        0.0404254,
        0.0402239,
        0.0397104,
        0.0402502,
        0.0402503,
        0.0400817,
        0.041165,
        0.0399239,
        0.0368694,
        0.0361855,
        0.0359795,
        0.0359482,
        0.0358372,
        0.0359278,
        0.0360443,
        0.0367263,
        0.0358679,
        0.0347598,
        0.0345333,
        0.0342743,
        0.0351066,
        0.0346086,
        0.0338968,
        0.0341121,
        0.035327,
        0.0365955,
        0.0374481,
        0.0397587,
        0.0432044,
        0.0476687,
        0.0520533,
        0.0540459,
        0.0521879,
        0.0475996,
        0.0425405,
        0.0383417,
        0.0355226,
        0.0336484,
        0.0322688,
        0.0309736,
        0.030036,
        0.0294901,
        0.0291436,
        0.028781,
        0.0286546,
        0.0287402,
        0.02948,
        0.0338203,
        0.034009,
        0.0305604,
        0.0311193,
        0.031029,
        0.0304977,
        0.0297611,
        0.0292336,
        0.0290984,
        0.0293075,
        0.0292712,
        0.0288812,
        0.0286132,
        0.0283884,
        0.0285313,
        0.0297046,
        0.0316411,
        0.0329999,
        0.0351204,
        0.0359815,
        0.0352337,
        0.0338997,
        0.0324708,
        0.0320644,
        0.0334283,
        0.0353681,
        0.0375799,
        0.0395457,
        0.0404466,
        0.0416696,
        0.0432641,
        0.0449662,
        0.0469,
        0.0465094,
        0.0447478,
        0.0411808,
        0.0385038,
        0.0361113,
        0.0344954,
        0.0330687,
        0.0324834,
        0.0316526,
        0.0302803,
        0.0290323,
        0.0281088,
        0.0278722,
        0.0275523,
        0.0273571,
        0.0269778,
        0.0265433,
        0.0260437,
        0.0278377,
        0.0275375,
        0.0258197,
        0.0267674,
        0.0298492,
        0.0307587,
        0.0280778,
        0.0278055,
        0.0277985,
        0.0284471,
        0.028785,
        0.0279911,
        0.0263014,
        0.0251725,
        0.0250568,
        0.0252839,
        0.0257804,
        0.0262034,
        0.0267429,
        0.0273612,
        0.0274144,
        0.0276719,
        0.0277863,
        0.027784,
        0.0278953,
        0.0278802,
        0.0272936,
        0.0272519,
        0.0277969,
        0.0305733,
        0.0306914,
        0.0288958,
        0.0297631,
        0.0305212,
        0.0319421,
        0.0338213,
        0.0387889,
        0.0420496,
        0.0424316,
        0.0474825,
        0.0558054,
        0.0635586,
        0.0680109,
        0.0642933,
        0.0554423,
        0.0473801,
        0.0428467,
        0.0402904,
        0.0385752,
        0.0396423,
        0.0359714,
        0.0314074,
        0.0311589,
        0.0306477,
        0.0294584,
        0.0290717,
        0.0287609,
        0.0277202,
        0.0268856,
        0.0264828,
        0.026243,
        0.0259401,
        0.0254626,
        0.0253358,
        0.0250047,
        0.0252862,
        0.0259034,
        0.0269398,
        0.0278842,
        0.0286579,
        0.0283342,
        0.027634,
        0.0278291,
        0.0287116,
        0.0296895,
        0.0295384,
        0.0279579,
        0.0264612,
        0.0258979,
        0.0258011,
        0.0259731,
        0.026512,
        0.0273542,
        0.0286996,
        0.0299708,
        0.0307331,
        0.0306708,
        0.0302622,
        0.0299908,
        0.0302902,
        0.0312563,
        0.0321619,
        0.0327411,
        0.0338702,
        0.0343929,
        0.034652,
        0.034189,
        0.0338464,
        0.0341665,
        0.0357598,
        0.0383081,
        0.0410855,
        0.0443888,
        0.0478444,
        0.0498743,
        0.0475595,
        0.0455863,
        0.0433017,
        0.0413066,
        0.0412178,
        0.0415965,
        0.0409484,
        0.0391772,
        0.0365418,
        0.0351185,
        0.0344233,
        0.0344836,
        0.0347038,
        0.0349546,
        0.0353727,
        0.0394487,
        0.040796,
        0.0390508,
        0.041188,
        0.0485388,
        0.0491889,
        0.0436501,
        0.0439606,
        0.0451531,
        0.0470615,
        0.0494981,
        0.0526499,
        0.0557522,
        0.057319,
        0.0569668,
        0.0570808,
        0.0602872,
        0.0618273,
        0.0650725,
        0.0699783,
        0.0771951,
        0.0875787,
        0.0998185,
        0.112846,
        0.128321,
        0.153177,
        0.168934,
        0.193673,
        0.218417,
        0.194483,
        0.166197,
        0.146293,
        0.124441,
        0.111836,
        0.101042,
        0.0923748,
        0.0856528,
        0.08208,
        0.0770431,
        0.0712884,
        0.0693616,
        0.0686307,
        0.0661681,
        0.064218,
        0.0620362,
        0.060189,
        0.0583881,
        0.0582505,
        0.0584961,
        0.064693,
        0.0611658,
        0.0527555,
        0.0501284,
        0.048588,
        0.0486239,
        0.0476866,
        0.0474687,
        0.0469937,
        0.0462417,
        0.0463126,
        0.046675,
        0.0470045,
        0.0481411,
        0.0505931,
        0.0546003,
        0.0590493,
        0.0649832,
        0.0745926,
        0.0898615,
        0.1126,
        0.151546,
        0.190977,
        0.131347,
        0.0963954,
        0.0752843,
        0.0630684,
        0.0549425,
        0.0494593,
        0.0451656,
        0.0415942,
        0.0402269,
        0.0383731,
        0.0367402,
        0.0358178,
        0.0355951,
        0.0351649,
        0.0352259,
        0.0352395,
        0.0354462,
        0.0358095,
        0.0359624,
        0.0362658,
        0.0354509,
        0.0343952,
        0.0331606,
        0.0326941,
        0.0324324,
        0.0321976,
        0.0318909,
        0.0312782,
        0.0311064,
        0.0310249,
        0.0304941,
        0.030227,
        0.030307,
        0.0302831,
        0.0307623,
        0.0315177,
        0.0313482,
        0.0322845,
        0.0330766,
        0.0342059,
        0.0366377,
        0.0387646,
        0.0389166,
        0.0422052,
        0.0478626,
        0.054976,
        0.0632819,
        0.0726394,
        0.0871279,
        0.103573,
        0.118328,
        0.117763,
        0.105522,
        0.0904218,
        0.0782199,
        0.0709794,
        0.0649009,
        0.0608422,
        0.0551407,
        0.0494511,
        0.0432062,
        0.0393636,
        0.036781,
        0.0344309,
        0.0326103,
        0.0313219,
        0.0300239,
        0.029308,
        0.0296916,
        0.0290755,
        0.0280194,
        0.0274802,
        0.0272793,
        0.0272009,
        0.027044,
        0.0271393,
        0.0283772,
        0.029582,
        0.0310229,
        0.0326763,
        0.0329012,
        0.0321117,
        0.0306439,
        0.0296639,
        0.029498,
        0.030099,
        0.0307237,
        0.0322069,
        0.0344544,
        0.0372525,
        0.0401823,
        0.0430144,
        0.0444899,
        0.0432846,
        0.0407584,
        0.0376382,
        0.0356573,
        0.0341057,
        0.0372242,
        0.0358281,
        0.0322006,
        0.0314149,
        0.0306618,
        0.0304132,
        0.0302869,
        0.0299549,
        0.030054,
        0.0300992,
        0.03057,
        0.0310308,
        0.0316686,
        0.0323382,
        0.0328404,
        0.0331572,
        0.0346256,
        0.0358705,
        0.0373487,
        0.0392313,
        0.0411715,
        0.044109,
        0.0473025,
        0.0507213,
        0.0543618,
        0.0587794,
        0.0685528,
        0.073278,
        0.0797509,
        0.0965095,
        0.113868,
        0.128115,
        0.150313,
        0.172706,
        0.168004,
        0.159801,
        0.152226,
        0.132096,
        0.115461,
        0.0962009,
        0.0843292,
        0.075202,
        0.0683173,
        0.0620244,
        0.0590564,
        0.0563015,
        0.0549819,
        0.0545521,
        0.0522147,
        0.0493873,
        0.0458734,
        0.0428019,
        0.0402193,
        0.039124,
        0.0383704,
        0.037783,
        0.0376196,
        0.0378506,
        0.0387036,
        0.039189,
        0.0405936,
        0.0418571,
        0.0442161,
        0.0471798,
        0.0504364,
        0.0546603,
        0.0611766,
        0.0693305,
        0.0803938,
        0.0983553,
        0.122588,
        0.163222,
        0.231404,
        0.185317,
        0.131706,
        0.104017,
        0.0843074,
        0.0699363,
        0.0616744,
        0.0549972,
        0.0513287,
        0.048786,
        0.0466289,
        0.0445011,
        0.0427877,
        0.0402727,
        0.038161,
        0.0371419,
        0.0354105,
        0.0340495,
        0.0338808,
        0.033642,
        0.0336083,
        0.0332035,
        0.0329214,
        0.032441,
        0.0321275,
        0.0321078,
        0.0336188,
        0.0354371,
        0.0332321,
        0.0314121,
        0.0305133,
        0.0298671,
        0.028817,
        0.0277536,
        0.0277744,
        0.0283877,
        0.0280451,
        0.0272532,
        0.0275734,
        0.0282867,
        0.0274035,
        0.0265307,
        0.0265009,
        0.0265088,
        0.026718,
        0.026943,
        0.0272205,
        0.0280515,
        0.0291678,
        0.0311445,
        0.0333067,
        0.0362536,
        0.039306,
        0.0415059,
        0.0430173,
        0.0442642,
        0.0430383,
        0.039652,
        0.0361394,
        0.0336866,
        0.0322217,
        0.030371,
        0.0295805,
        0.0293363,
        0.0292656,
        0.0297184,
        0.0296797,
        0.0296304,
        0.0304335,
        0.031643,
        0.0323777,
        0.0309598,
        0.0301608,
        0.0295729,
        0.0292359,
        0.0291718,
        0.0298017,
        0.0310318,
        0.0328511,
        0.0344133,
        0.0359812,
        0.0375569,
        0.0382356,
        0.0376319,
        0.0356289,
        0.0326135,
        0.0302377,
        0.0283611,
        0.0269608,
        0.0259408,
        0.025298,
        0.0248745,
        0.0246392,
        0.0247506,
        0.025025,
        0.0252294,
        0.0250995,
        0.024673,
        0.0240565,
        0.023735,
        0.0236327,
        0.0237758,
        0.0240545,
        0.0243856,
        0.0251823,
        0.0262212,
        0.0274794,
        0.0284391,
        0.0288531,
        0.029009,
        0.0286085,
        0.02763,
        0.0269044,
        0.0266401,
        0.0266934,
        0.0270135,
        0.027661,
        0.0286339,
        0.0294244,
        0.0297655,
        0.0298877,
        0.0294983,
        0.0289206,
        0.0279599,
        0.0270426,
        0.0272416,
        0.0278612,
        0.0282928,
        0.0282595,
        0.0274923,
        0.0268859,
        0.0270054,
        0.0286548,
        0.0299438,
        0.0275868,
        0.0257474,
        0.0271757,
        0.0282106,
        0.026788,
        0.0266994,
        0.027802,
        0.0290646,
        0.0300539,
        0.0304634,
        0.0301937,
        0.030152,
        0.0307062,
        0.0314116,
        0.0316921,
        0.0317847,
        0.0317246,
        0.0317357,
        0.0318611,
        0.0320954,
        0.0320921,
        0.0329928,
        0.035344,
        0.0378188,
        0.039181,
        0.0398774,
        0.0406085,
        0.041357,
        0.0431042,
        0.0467007,
        0.0512101,
        0.0575696,
        0.0655064,
        0.073926,
        0.086973,
        0.108922,
        0.143911,
        0.205137,
        0.201201,
        0.15448,
        0.121939,
        0.100649,
        0.0840307,
        0.0722724,
        0.0652797,
        0.0585168,
        0.056992,
        0.0549161,
        0.0481919,
        0.0435986,
        0.0421244,
        0.0401522,
        0.0384892,
        0.0370441,
        0.0353213,
        0.0338277,
        0.0328942,
        0.0319948,
        0.0309678,
        0.0298686,
        0.0298638,
        0.0302659,
        0.0314099,
        0.0324577,
        0.0324412,
        0.0315624,
        0.0296796,
        0.0274598,
        0.0263713,
        0.0256812,
        0.0254412,
        0.0257114,
        0.0256043,
        0.0270585,
        0.028588,
        0.0278791,
        0.0267395,
        0.0259916,
        0.0263255,
        0.0267015,
        0.0274191,
        0.0281776,
        0.029437,
        0.0310993,
        0.0338513,
        0.0361721,
        0.0379968,
        0.0397533,
        0.0406767,
        0.0400956,
        0.0373005,
        0.0349032,
        0.0327769,
        0.0310904,
        0.0301588,
        0.0288336,
        0.0283773,
        0.0281986,
        0.0281227,
        0.0278864,
        0.02803,
        0.0286434,
        0.0298999,
        0.031918,
        0.0367469,
        0.0403696,
        0.0411024,
        0.042032,
        0.0415796,
        0.0391722,
        0.036127,
        0.0356366,
        0.032166,
        0.0286432,
        0.026834,
        0.0262123,
        0.0255187,
        0.0252032,
        0.025707,
        0.0258864,
        0.0245346,
        0.0245609,
        0.0259136,
        0.0279624,
        0.0290916,
        0.0268202,
        0.0266545,
        0.0269961,
        0.0297517,
        0.0305922,
        0.0298621,
        0.0294462,
        0.0297372,
        0.0305606,
        0.0268598,
        0.0241853,
        0.0235571,
        0.0233209,
        0.0248942,
        0.0258528,
        0.0243423,
        0.023765,
        0.0244539,
        0.0248487,
        0.0255015,
        0.0262037,
        0.0261831,
        0.026027,
        0.0256131,
        0.024875,
        0.0244258,
        0.0245915,
        0.0248749,
        0.0249104,
        0.0251469,
        0.0251173,
        0.0246976,
        0.0247371,
        0.0255222,
        0.025967,
        0.026391,
        0.0275078,
        0.0291292,
        0.0289356,
        0.0282243,
        0.0278255,
        0.0278194,
        0.027711,
        0.0280109,
        0.028743,
        0.0300922,
        0.0314374,
        0.0323268,
        0.0325502,
        0.0316283,
        0.0301455,
        0.0289541,
        0.0286894,
        0.0290063,
        0.0295038,
        0.0301353,
        0.0337886,
        0.0359992,
        0.0315486,
        0.0295743,
        0.0294427,
        0.0297827,
        0.0302266,
        0.0310294,
        0.0321183,
        0.0324173,
        0.0327154,
        0.0334181,
        0.0383895,
        0.0408243,
        0.0382556,
        0.0385287,
        0.0416546,
        0.0448904,
        0.0463275,
        0.0500143,
        0.0555112,
        0.062416,
        0.0690676,
        0.0791353,
        0.0943868,
        0.114484,
        0.146301,
        0.202062,
        0.198347,
        0.14793,
        0.113305,
        0.0925025,
        0.0816779,
        0.0730149,
        0.0642578,
        0.0587406,
        0.0549373,
        0.0520678,
        0.0510293,
        0.0509192,
        0.050568,
        0.0518391,
        0.0553086,
        0.0609061,
        0.0666079,
        0.0747495,
        0.0802287,
        0.0796856,
        0.0744147,
        0.0659975,
        0.0552134,
        0.0483649,
        0.0447519,
        0.040204,
        0.0364515,
        0.0351146,
        0.0345303,
        0.0341023,
        0.0339943,
        0.0344481,
        0.0351604,
        0.0355698,
        0.0377625,
        0.0379154,
        0.0359893,
        0.0348482,
        0.0326453,
        0.0314411,
        0.031947,
        0.0326891,
        0.0340606,
        0.0388712,
        0.0433676,
        0.042071,
        0.0404713,
        0.0385819,
        0.0402747,
        0.0395239,
        0.0359488,
        0.0342919,
        0.0354664,
        0.0359601,
        0.0357939,
        0.0364192,
        0.0374425,
        0.0376899,
        0.0361118,
        0.0345852,
        0.0335347,
        0.0312088,
        0.0299996,
        0.0285413,
        0.027587,
        0.0275529,
        0.0276622,
        0.0280618,
        0.0285263,
        0.0285491,
        0.0280007,
        0.0279894,
        0.0283915,
        0.0296688,
        0.0306367,
        0.0310329,
        0.0310567,
        0.030077,
        0.0288336,
        0.0280693,
        0.0271801,
        0.0265493,
        0.0259562,
        0.0254834,
        0.0249955,
        0.0250277,
        0.0258405,
        0.0260155,
        0.0254546,
        0.0252081,
        0.025367,
        0.0250595,
        0.0246231,
        0.0242146,
        0.0240878,
        0.0241489,
        0.0239139,
        0.023734,
        0.023751,
        0.0237526,
        0.0237006,
        0.0236103,
        0.0239397,
        0.0240456,
        0.0239857,
        0.0239087,
        0.0239562,
        0.0237315,
        0.0237984,
        0.0241795,
        0.0242975,
        0.0247451,
        0.0248743,
        0.0251649,
        0.0253395,
        0.0257722,
        0.0261645,
        0.0267913,
        0.0272808,
        0.028094,
        0.0285521,
        0.0290577,
        0.0293907,
        0.0291402,
        0.0292333,
        0.0292596,
        0.0293666,
        0.0294447,
        0.0296098,
        0.0296309,
        0.0299391,
        0.0308855,
        0.0331202,
        0.0351454,
        0.0339598,
        0.0332066,
        0.0332089,
        0.033207,
        0.0341802,
        0.0347381,
        0.0348302,
        0.0350495,
        0.0358012,
        0.0368817,
        0.0380642,
        0.0385459,
        0.0389732,
        0.0387846,
        0.0397867,
        0.040785,
        0.0397937,
        0.0392082,
        0.0393358,
        0.04011,
        0.0412202,
        0.0481196,
        0.0543351,
        0.0505093,
        0.0492899,
        0.0534699,
        0.0587852,
        0.061541,
        0.0644191,
        0.0710909,
        0.0799719,
        0.09128,
        0.106098,
        0.122201,
        0.143488,
        0.173319,
        0.223688,
        0.201531,
        0.153489,
        0.122619,
        0.10527,
        0.0908686,
        0.0795022,
        0.0722697,
        0.0664128,
        0.0620777,
        0.0578094,
        0.0542751,
        0.0513996,
        0.0494359,
        0.0477926,
        0.0462508,
        0.0451479,
        0.0441854,
        0.0451664,
        0.0454056,
        0.0461769,
        0.0461278,
        0.0459036,
        0.0447588,
        0.0433717,
        0.042113,
        0.0414364,
        0.0406073,
        0.0398947,
        0.039302,
        0.0383276,
        0.0371957,
        0.0374553,
        0.0380462,
        0.0380323,
        0.0377979,
        0.0383689,
        0.0397525,
        0.0409233,
        0.0437195,
        0.0469763,
        0.0508486,
        0.054964,
        0.0574689,
        0.057034,
        0.0535213,
        0.0488721,
        0.0452257,
        0.0413814,
        0.0387995,
        0.0365431,
        0.0347556,
        0.0336689,
        0.0330644,
        0.0328138,
        0.0329117,
        0.0327355,
        0.0324153,
        0.0321705,
        0.0319277,
        0.0317416,
        0.03184,
        0.0321715,
        0.0324627,
        0.0331622,
        0.0339451,
        0.034193,
        0.0349934,
        0.0360019,
        0.0361144,
        0.0361001,
        0.0359284,
        0.0361067,
        0.0366168,
        0.0367885,
        0.0362154,
        0.035807,
        0.0357195,
        0.0349867,
        0.0341595,
        0.0337878,
        0.0339031,
        0.0338248,
        0.0343798,
        0.0340914,
        0.0347747,
        0.0359725,
        0.0352376,
        0.0340498,
        0.0340093,
        0.03405,
        0.0342468,
        0.0343545,
        0.0347225,
        0.0353248,
        0.0360915,
        0.0361503,
        0.0358797,
        0.0363126,
        0.0368072,
        0.037276,
        0.0383486,
        0.0386379,
        0.0384844,
        0.0379097,
        0.0376219,
        0.0376473,
        0.0374933,
        0.0377272,
        0.038374,
        0.0381955,
        0.0389079,
        0.0400713,
        0.040733,
        0.0416221,
        0.042353,
        0.0428542,
        0.0432217,
        0.0428984,
        0.0423711,
        0.0423562,
        0.0438627,
        0.049513,
        0.0484469,
        0.0447964,
        0.0452086,
        0.0452795,
        0.0449588,
        0.0448962,
        0.0457936,
        0.0467098,
        0.047414,
        0.0482084,
        0.0484278,
        0.0508153,
        0.0518384,
        0.0527262,
        0.0528138,
        0.0538349,
        0.0550028,
        0.0551288,
        0.0555172,
        0.0576499,
        0.0585833,
        0.059169,
        0.0603284,
        0.061516,
        0.061706,
        0.0630325,
        0.0656445,
        0.067562,
        0.0703105,
        0.0718392,
        0.0745805,
        0.0771797,
        0.0814032,
        0.0876043,
        0.0896719,
        0.0943574,
        0.101199,
        0.111964,
        0.119645,
        0.128016,
        0.133103,
        0.141331,
        0.152995,
        0.174328,
        0.201068,
        0.219636,
        0.24675,
        0.262601,
        0.221255,
        0.198025,
        0.177123,
        0.184048,
        0.167751,
        0.143813,
        0.138814,
        0.132308,
        0.127626,
        0.126252,
        0.125027,
        0.113493,
        0.105568,
        0.102302,
        0.0959296,
        0.0943392,
        0.0934076,
        0.08979,
        0.0886628,
        0.0872428,
        0.0836028,
        0.083966,
        0.0857094,
        0.0828821,
        0.081995,
        0.080414,
        0.0814406,
        0.0814256,
        0.0787617,
        0.081715,
        0.0816583,
        0.082993,
        0.0838022,
        0.0859229,
        0.0883803,
        0.0884271,
        0.0876376,
        0.0911814,
        0.103729,
        0.100145,
        0.0969487,
        0.0979668,
        0.0970057,
        0.0994962,
        0.102757,
        0.105419,
        0.108292,
        0.110023,
        0.114011,
        0.122452,
        0.123207,
        0.126777,
        0.134277,
        0.142561,
        0.153856,
        0.162549,
        0.166856,
        0.175735,
        0.188601,
        0.199961,
        0.211425,
        0.232256,
        0.251871,
        0.330151,
        0.374584,
        0.20074,
        0.181357,
        0.164761,
        0.150125,
        0.137151,
        0.131834,
        0.124438,
        0.115609,
        0.108992,
        0.107566,
        0.101034,
        0.0957535,
        0.0921819,
        0.0889491,
        0.086814,
        0.0823639,
        0.0794858,
        0.0759749,
        0.07371,
        0.0722398,
        0.0707316,
        0.0689645,
        0.0675509,
        0.0657041,
        0.0649195,
        0.0647914,
        0.0643556,
        0.0639403,
        0.0647682,
        0.0652968,
        0.0653955,
        0.0636964,
        0.0597659,
        0.0578569,
        0.0562515,
        0.0542841,
        0.0527681,
        0.0521199,
        0.0508982,
        0.0499907,
        0.0503369,
        0.0492933,
        0.0481763,
        0.0474431,
        0.0465033,
        0.0483472,
        0.0491263,
        0.0474799,
        0.0455977,
        0.0444201,
        0.0442352,
        0.044221,
        0.0436529,
        0.0433276,
        0.0431065,
        0.0428438,
        0.0426067,
        0.042862,
        0.0431416,
        0.0435602,
        0.0436372,
        0.0435885,
        0.0430065,
        0.0426501,
        0.0427978,
        0.0453361,
        0.0444969,
        0.0420868,
        0.0418554,
        0.0416872,
        0.0410468,
        0.0405011,
        0.0406304,
        0.040575,
        0.040898,
        0.0412896,
        0.0428673,
        0.0444611,
        0.0428599,
        0.041151,
        0.0412091,
        0.0412635,
        0.0414708,
        0.041499,
        0.041906,
        0.0416365,
        0.0414596,
        0.041892,
        0.0426891,
        0.0428748,
        0.0430426,
        0.0432555,
        0.0459117,
        0.0451006,
        0.0450888,
        0.0446255,
        0.0416942,
        0.0406415,
        0.0408373,
        0.0408078,
        0.040271,
        0.0406313,
        0.0406626,
        0.0411244,
        0.0410311,
        0.0407787,
        0.0407921,
        0.0410222,
        0.0403055,
        0.0395086,
        0.0393057,
        0.0386269,
        0.0389087,
        0.0387581,
        0.0390889,
        0.0389942,
        0.0385431,
        0.038415,
        0.0382141,
        0.0384357,
        0.0376006,
        0.0371315,
        0.0368022,
        0.0369292,
        0.0369677,
        0.0367446,
        0.0369172,
        0.0368885,
        0.036995,
        0.0374258,
        0.0369361,
        0.0378205,
        0.0376467,
        0.0383706,
        0.0386708,
        0.0395421,
        0.0395366,
        0.0403382,
        0.0398851,
        0.0405795,
        0.0412643,
        0.0417798,
        0.0431136,
        0.0441881,
        0.044752,
        0.0459198,
        0.0476471,
        0.0480331,
        0.0489711,
        0.0508399,
        0.0522754,
        0.0543728,
        0.0573521,
        0.0592539,
        0.0599314,
        0.0617201,
        0.0647097,
        0.0664941,
        0.0688968,
        0.0718906,
        0.0750183,
        0.0815946,
        0.0876473,
        0.0937658,
        0.101812,
        0.115343,
        0.127695,
        0.146053,
        0.172454,
        0.196061,
        0.235972,
        0.157093,
        0.130488,
        0.124375,
        0.108747,
        0.100089,
        0.0968387,
        0.0874975,
        0.0859878,
        0.0794062,
        0.0689077,
        0.065806,
        0.0634916,
        0.0604346,
        0.0572536,
        0.0566409,
        0.0555418,
        0.0545393,
        0.0534738,
        0.0538546,
        0.05316,
        0.052152,
        0.0557392,
        0.0563435,
        0.053478,
        0.054262,
        0.0544775,
        0.0545619,
        0.0533411,
        0.0526971,
        0.0516242,
        0.0498171,
        0.048843,
        0.0469426,
        0.0462196,
        0.0450755,
        0.0437835,
        0.0431877,
        0.0419681,
        0.0418163,
        0.0419939,
        0.0412192,
        0.0412956,
        0.0407432,
        0.0407207,
        0.0407803,
        0.0409544,
        0.0418005,
        0.0412393,
        0.0403841,
        0.0401141,
        0.0397041,
        0.0395904,
        0.0390382,
        0.0394766,
        0.0391492,
        0.0383683,
        0.0384424,
        0.0385817,
        0.0380995,
        0.0384025,
        0.0398222,
        0.0394998,
        0.0396012,
        0.0417035,
        0.0406673,
        0.04041,
        0.0399797,
        0.0392553,
        0.0392098,
        0.0400255,
        0.0394718,
        0.039067,
        0.0395943,
        0.039733,
        0.0398226,
        0.0403072,
        0.040535,
        0.0410861,
        0.0411096,
        0.0410255,
        0.0399408,
        0.0399194,
        0.0396179,
        0.0396574,
        0.040085,
        0.0387878,
        0.0384834,
        0.0381964,
        0.0391708,
        0.0377787,
        0.0380416,
        0.0377614,
        0.0381829,
        0.0373918,
        0.0373591,
        0.0382181,
        0.0386701,
        0.0387712,
        0.0381128,
        0.0386095,
        0.0386802,
        0.0380714,
        0.0380421,
        0.0382782,
        0.0387292,
        0.0386187,
        0.0387659,
        0.0391129,
        0.0393158,
        0.0402286,
        0.0404599,
        0.0407115,
        0.0412265,
        0.0405773,
        0.0409429,
        0.0415859,
        0.0422572,
        0.0430372,
        0.0446621,
        0.045585,
        0.0450518,
        0.0453824,
        0.0462164,
        0.0475104,
        0.0452697,
        0.0449814,
        0.0455938,
        0.0448635,
        0.0452819,
        0.046125,
        0.0453076,
        0.0452693,
        0.0446221,
        0.0446853,
        0.0451781,
        0.0459656,
        0.046878,
        0.0480052,
        0.0491132,
        0.0502228,
        0.0503872,
        0.0516068,
        0.0511475,
        0.0509318,
        0.0524969,
        0.0523181,
        0.0527492,
        0.0514358,
        0.0527209,
        0.052806,
        0.0541574,
        0.0560333,
        0.0562208,
        0.0576738,
        0.060261,
        0.0609355,
        0.0636262,
        0.0672625,
        0.0682909,
        0.070794,
        0.0729264,
        0.0766587,
        0.0797018,
        0.0877269,
        0.094991,
        null,
        0.0347131,
        0.0340405,
        0.0344948,
        0.0355768,
        0.0343921,
        0.0329445,
        0.0327459,
        0.0330585,
        0.0330736,
        0.0327199,
        0.0326305,
        0.0324184,
        0.0321358,
        0.0321737,
        0.0320506,
        0.0321719,
        0.0323687,
        0.0325155,
        0.0325089,
        0.0322543,
        0.0319317,
        0.031765,
        0.0312373,
        0.030451,
        0.0301603,
        0.0300149,
        0.0298225,
        0.0295657,
        0.0293962,
        0.0293751,
        0.0294095,
        0.0296046,
        0.0295684,
        0.0295378,
        0.0297178,
        0.0299818,
        0.0301705,
        0.0303692,
        0.0306796,
        0.0312434,
        0.0315905,
        0.0315737,
        0.0316047,
        0.031451,
        0.0310883,
        0.0308002,
        0.0306617,
        0.0302297,
        0.0302004,
        0.0303075,
        0.0302963,
        0.0303525,
        0.0304126,
        0.0302496,
        0.0302443,
        0.0303671,
        0.0304666,
        0.0305464,
        0.0305728,
        0.0308597,
        0.0311038,
        0.0309362,
        0.0309757,
        0.0312759,
        0.0317497,
        0.0333247,
        0.0338545,
        0.0330482,
        0.0335773,
        0.0344392,
        0.0354674,
        0.0369136,
        0.0380108,
        0.038969,
        0.0401568,
        0.0414901,
        0.0419244,
        0.0413533,
        0.0405168,
        0.0392076,
        0.0383475,
        0.0377672,
        0.0380802,
        0.0389149,
        0.0395065,
        0.0405238,
        0.0421669,
        0.0437709,
        0.0454957,
        0.0468838,
        0.0480142,
        0.0500534,
        0.0518065,
        0.0532594,
        0.0564993,
        0.0601479,
        0.0646601,
        0.0702387,
        0.0795931,
        0.0912931,
        0.101752,
        0.118518,
        0.143443,
        0.176151,
        0.192193,
        0.149705,
        0.123684,
        0.107426,
        0.0927624,
        0.0830663,
        0.0755512,
        0.0697212,
        0.0642581,
        0.0607682,
        0.0583758,
        0.0564511,
        0.0543916,
        0.0524427,
        0.0498219,
        0.0472073,
        0.0447337,
        0.042916,
        0.0414943,
        0.0399043,
        0.0386445,
        0.0371509,
        0.0358682,
        0.0350913,
        0.0350521,
        0.0346594,
        0.0347158,
        0.0353372,
        0.0343513,
        0.0337617,
        0.033959,
        0.0340245,
        0.0339275,
        0.033724,
        0.0337009,
        0.0329091,
        0.032641,
        0.032207,
        0.0317214,
        0.0314553,
        0.030895,
        0.0302737,
        0.0302066,
        0.0302158,
        0.0301396,
        0.0301809,
        0.0299355,
        0.0300923,
        0.0304743,
        0.0301671,
        0.0300747,
        0.0299225,
        0.0299346,
        0.0300224,
        0.0302063,
        0.0304595,
        0.031005,
        0.0309421,
        0.0312907,
        0.0318219,
        0.0328132,
        0.035247,
        0.0330778,
        0.0311,
        0.0305265,
        0.0299449,
        0.0294333,
        0.0287958,
        0.0285772,
        0.0282702,
        0.0280035,
        0.0278971,
        0.0279872,
        0.0277807,
        0.0276987,
        0.0274873,
        0.0271326,
        0.0269409,
        0.0272334,
        0.027137,
        0.0270333,
        0.0272075,
        0.027344,
        0.0272408,
        0.0276054,
        0.0295643,
        0.0302101,
        0.031666,
        0.0302157,
        0.0271694,
        0.0272943,
        0.0271304,
        0.0272787,
        0.0273311,
        0.0277355,
        0.0280465,
        0.0283469,
        0.0286503,
        0.0288834,
        0.0291687,
        0.0294559,
        0.0300446,
        0.0304971,
        0.0306221,
        0.0312506,
        0.0316732,
        0.0319558,
        0.0325837,
        0.0330479,
        0.0332821,
        0.0327324,
        0.0322446,
        0.031497,
        0.0312801,
        0.0308055,
        0.0305347,
        0.0302698,
        0.0301792,
        0.0302523,
        0.0301323,
        0.0303194,
        0.0304314,
        0.0307107,
        0.0312636,
        0.0316173,
        0.0316158,
        0.0318111,
        0.0319262,
        0.0324977,
        0.0326745,
        0.0334483,
        0.0337161,
        0.0343657,
        0.034476,
        0.0350116,
        0.0363033,
        0.0371825,
        0.0387316,
        0.0397813,
        0.041417,
        0.0429848,
        0.0449084,
        0.0467529,
        0.0504861,
        0.0543672,
        0.0590705,
        0.0635969,
        0.0702073,
        0.0801376,
        0.0918025,
        0.107758,
        0.132945,
        0.166685,
        0.222692,
        0.207034,
        0.157691,
        0.127458,
        0.106879,
        0.0901883,
        0.0803751,
        0.0797642,
        0.0747394,
        0.0619763,
        0.0564618,
        0.0529745,
        0.0498025,
        0.0467825,
        0.0435791,
        0.041481,
        0.0399663,
        0.0384906,
        0.0371702,
        0.0362536,
        0.0352101,
        0.0341276,
        0.0329924,
        0.0318985,
        0.0310708,
        0.0307366,
        0.0299641,
        0.029215,
        0.0289773,
        0.029058,
        0.0305438,
        0.0303792,
        0.028576,
        0.028623,
        0.029013,
        0.02954,
        0.0319434,
        0.0306025,
        0.0293627,
        0.0284812,
        0.0278306,
        0.0272429,
        0.0269342,
        0.0263998,
        0.0260718,
        0.0259219,
        0.0259101,
        0.0259183,
        0.0256345,
        0.0252632,
        0.0251015,
        0.0250703,
        0.0250108,
        0.0248565,
        0.0251448,
        0.0251981,
        0.0251898,
        0.0251861,
        0.0250325,
        0.024843,
        0.0245975,
        0.0247299,
        0.0248035,
        0.0248208,
        0.0246385,
        0.024604,
        0.0244656,
        0.0243023,
        0.0241912,
        0.0241424,
        0.0241478,
        0.0243449,
        0.0241438,
        0.0242297,
        0.0242941,
        0.0241446,
        0.0239623,
        0.0240513,
        0.0240575,
        0.0241609,
        0.024366,
        0.0247019,
        0.0254912,
        0.0258894,
        0.0261584,
        0.0267734,
        0.0273546,
        0.026303,
        0.0271089,
        0.0265533,
        0.0260502,
        0.0255154,
        0.0249219,
        0.0246909,
        0.024514,
        0.024135,
        0.0239545,
        0.0239837,
        0.023971,
        0.0239703,
        0.0238382,
        0.0237486,
        0.0238066,
        0.0242413,
        0.0245192,
        0.0245988,
        0.025064,
        0.0270415,
        0.0260647,
        0.02455,
        0.0243396,
        0.0245257,
        0.0246625,
        0.0247261,
        0.0249795,
        0.0252977,
        0.0254921,
        0.0258132,
        0.0258817,
        0.0261833,
        0.0264785,
        0.0267089,
        0.0268633,
        0.0269142,
        0.0272953,
        0.0278743,
        0.0285556,
        0.0289128,
        0.029871,
        0.0303514,
        0.0310297,
        0.032003,
        0.0340891,
        0.0354497,
        0.0377318,
        0.0407938,
        0.0444954,
        0.0473866,
        0.0491151,
        0.0529736,
        0.0500968,
        0.0462963,
        0.0449968,
        0.0442499,
        0.043971,
        0.0444437,
        0.0461302,
        0.0477802,
        0.0504003,
        0.0537318,
        0.0587773,
        0.0650897,
        0.0710166,
        0.0810819,
        0.0959247,
        0.117259,
        0.1448,
        0.189525,
        0.171251,
        0.137691,
        0.10873,
        0.0904837,
        0.0800337,
        0.0699915,
        0.0636182,
        0.0594605,
        0.0549675,
        0.0512492,
        0.0491948,
        0.0477063,
        0.0456075,
        0.0443467,
        0.0418542,
        0.0394825,
        0.0373087,
        0.0358476,
        0.0347112,
        0.0335501,
        0.0322808,
        0.0314854,
        0.03091,
        0.0300565,
        0.0293687,
        0.0290121,
        0.0283009,
        0.02809,
        0.0278956,
        0.0274327,
        0.0271734,
        0.0269207,
        0.0268095,
        0.0263892,
        0.0262395,
        0.025935,
        0.0255515,
        0.0252355,
        0.0246631,
        0.0244994,
        0.0243117,
        0.0242174,
        0.0245706,
        0.0244416,
        0.0238691,
        0.0238008,
        0.0235767,
        0.0234566,
        0.0234908,
        0.0234813,
        0.0236655,
        0.0240685,
        0.0242919,
        0.024442,
        0.0243826,
        0.0247924,
        0.0249902,
        0.0254122,
        0.0259177,
        0.0268362,
        0.0285242,
        0.0300845,
        0.0307918,
        0.0325111,
        0.0333975,
        0.0344561,
        0.0340536,
        0.0332908,
        0.0319561,
        0.0308477,
        0.0301637,
        0.0297257,
        0.0290892,
        0.0289149,
        0.0287576,
        0.0285901,
        0.027901,
        0.0271352,
        0.0267712,
        0.0276343,
        0.0270782,
        0.025132,
        0.0244438,
        0.0244483,
        0.0239577,
        0.0237919,
        0.0237015,
        0.0236253,
        0.0238853,
        0.0238087,
        0.0238992,
        0.0238324,
        0.0235738,
        0.0231827,
        0.0228872,
        0.0227256,
        0.0229264,
        0.0230496,
        0.0231128,
        0.0230777,
        0.0232792,
        0.0235838,
        0.0237354,
        0.0239519,
        0.0241918,
        0.0244325,
        0.0246667,
        0.0252802,
        0.025689,
        0.0260138,
        0.0265004,
        0.0269298,
        0.0274964,
        0.028481,
        0.0294184,
        0.0300925,
        0.0303001,
        0.030246,
        0.029914,
        0.0296002,
        0.0293211,
        0.0292512,
        0.029505,
        0.0293547,
        0.0289045,
        0.0289951,
        0.0292748,
        0.0295712,
        0.0297657,
        0.0301349,
        0.0304779,
        0.0312203,
        0.0321327,
        0.0341153,
        0.0348781,
        0.0352109,
        0.0368361,
        0.0382684,
        0.0401988,
        0.0419827,
        0.0434624,
        0.0442034,
        0.0440141,
        0.0435559,
        0.0438077,
        0.0434666,
        0.0443735,
        0.0452969,
        0.0476496,
        0.0493925,
        0.0518645,
        0.0554465,
        0.0591664,
        0.0639775,
        0.0704732,
        0.080177,
        0.0927532,
        0.11169,
        0.138804,
        0.173568,
        0.185419,
        0.144402,
        0.116014,
        0.0951164,
        0.0816865,
        0.0744436,
        0.0662925,
        0.0581729,
        0.0533395,
        0.0496091,
        0.0465059,
        0.0443544,
        0.0419729,
        0.0401077,
        0.0382088,
        0.0366383,
        0.0355894,
        0.0345434,
        0.0332697,
        0.0325187,
        0.0319655,
        0.0314741,
        0.0309527,
        0.031002,
        0.0301298,
        0.0292312,
        0.0288645,
        0.0286221,
        0.0281351,
        0.0280539,
        0.0279316,
        0.0274982,
        0.0270951,
        0.027099,
        0.027041,
        0.0268794,
        0.0268161,
        0.0270212,
        0.0274901,
        0.0270844,
        0.0272005,
        0.0275744,
        0.0279439,
        0.0283793,
        0.0287747,
        0.0289335,
        0.0286084,
        0.0279831,
        0.0269487,
        0.0264688,
        0.0265506,
        0.0264765,
        0.0263934,
        0.0266657,
        0.0268735,
        0.026832,
        0.0269876,
        0.0274556,
        0.0282905,
        0.0291243,
        0.0309259,
        0.0329733,
        0.0361955,
        0.0416038,
        0.048115,
        0.0544721,
        0.0578713,
        0.0624426,
        0.0528059,
        0.0418853,
        0.0376696,
        0.0337817,
        0.0308697,
        0.0292792,
        0.0281502,
        0.0274236,
        0.0270758,
        0.0269254,
        0.0264461,
        0.0260016,
        0.0259218,
        0.0257852,
        0.025814,
        0.0260061,
        0.0257801,
        0.0254383,
        0.0257056,
        0.0256124,
        0.0254626,
        0.0253862,
        0.0257435,
        0.0262705,
        0.0275366,
        0.0270442,
        0.0263052,
        0.0270196,
        0.0275932,
        0.0277567,
        0.0278341,
        0.0276732,
        0.0272237,
        0.0268536,
        0.0265387,
        0.0259349,
        0.025398,
        0.0248746,
        0.0244426,
        0.0242139,
        0.0240352,
        0.0241652,
        0.0240624,
        0.0239133,
        0.023908,
        0.023717,
        0.0236497,
        0.0236796,
        0.0239624,
        0.024195,
        0.0243345,
        0.0247298,
        0.0248461,
        0.0248339,
        0.0250473,
        0.0250366,
        0.0253404,
        0.0255574,
        0.0255371,
        0.0257671,
        0.0264371,
        0.0268352,
        0.0272844,
        0.0277181,
        0.0273647,
        0.028383,
        0.0298996,
        0.0298495,
        0.0291675,
        0.0289248,
        0.0294317,
        0.0302494,
        0.0308463,
        0.0318388,
        0.032834,
        0.0337761,
        0.0348564,
        0.036002,
        0.0377279,
        0.0387324,
        0.0402296,
        0.0418699,
        0.0443052,
        0.0472081,
        0.0495093,
        0.051414,
        0.0534731,
        0.0565533,
        0.0609815,
        0.066801,
        0.0742403,
        0.0840553,
        0.100901,
        0.119342,
        0.147713,
        0.19582,
        0.150552,
        0.118484,
        0.0985172,
        0.0820063,
        0.0712713,
        0.0632628,
        0.0574985,
        0.0531887,
        0.0480212,
        0.0450354,
        0.043009,
        0.0405524,
        0.0384583,
        0.037061,
        0.0360046,
        0.0349095,
        0.0342292,
        0.0329389,
        0.032883,
        0.0325118,
        0.0335785,
        0.0350473,
        0.0328824,
        0.0318823,
        0.0321549,
        0.0327052,
        0.033144,
        0.0336255,
        0.0335178,
        0.0333414,
        0.0327181,
        0.0321897,
        0.0311277,
        0.030459,
        0.0303767,
        0.0287669,
        0.0279243,
        0.0273816,
        0.026768,
        0.0263655,
        0.0258823,
        0.0254332,
        0.0251959,
        0.0252831,
        0.0249269,
        0.0250283,
        0.0252603,
        0.0253631,
        0.025753,
        0.0262173,
        0.0267306,
        0.0274903,
        0.0280074,
        0.0284074,
        0.0287287,
        0.0291414,
        0.0288758,
        0.0281033,
        0.0273051,
        0.0283245,
        0.0287898,
        0.0260059,
        0.0245611,
        0.0243196,
        0.0244067,
        0.0240608,
        0.0239946,
        0.0241761,
        0.0243938,
        0.0244473,
        0.024631,
        0.0248635,
        0.0252118,
        0.0253541,
        0.0258672,
        0.0261499,
        0.0264822,
        0.0267425,
        0.0266269,
        0.0269868,
        0.0274499,
        0.0280756,
        0.0279059,
        0.0271958,
        0.0265283,
        0.0258699,
        0.0253919,
        0.0248294,
        0.0243056,
        0.0240965,
        0.0251349,
        0.0249401,
        0.024114,
        0.0238777,
        0.0264576,
        0.0272208,
        0.0242928,
        0.0233767,
        0.02333,
        0.0233897,
        0.0234651,
        0.0234341,
        0.0231263,
        0.0231336,
        0.025016,
        0.02635,
        0.0247862,
        0.0240234,
        0.0235492,
        0.0235806,
        0.0243525,
        0.0240186,
        0.0234786,
        0.0237906,
        0.0240702,
        0.0242433,
        0.0242537,
        0.024383,
        0.0245893,
        0.0246169,
        0.02476,
        0.0249095,
        0.0249853,
        0.0252033,
        0.0254009,
        0.0253938,
        0.0258227,
        0.0263829,
        0.0263437,
        0.026576,
        0.0271512,
        0.0282785,
        0.0293848,
        0.0302696,
        0.0315211,
        0.0333481,
        0.0356793,
        0.0380211,
        0.0396529,
        0.0399386,
        0.0382425,
        0.0363269,
        0.0347296,
        0.0332701,
        0.0326047,
        0.0322649,
        0.0321047,
        0.0328213,
        0.0336708,
        0.0340885,
        0.0347733,
        0.035649,
        0.0367223,
        0.0385953,
        0.0404031,
        0.042631,
        0.0451537,
        0.0483831,
        0.0521991,
        0.0565292,
        0.0627869,
        0.0705546,
        0.0799503,
        0.0932212,
        0.110421,
        0.138647,
        0.182469,
        0.251136,
        0.17339,
        0.12224,
        0.0924595,
        0.0778366,
        0.0679829,
        0.0625661,
        0.0554143,
        0.0506651,
        0.0474553,
        0.0450996,
        0.0436036,
        0.0426416,
        0.0409057,
        0.0395148,
        0.0380812,
        0.0368897,
        0.035388,
        0.0335751,
        0.0321899,
        0.0311958,
        0.0305195,
        0.0298195,
        0.0292246,
        0.0288819,
        0.0289341,
        0.0289153,
        0.0284249,
        0.0276748,
        0.0273154,
        0.0270222,
        0.0267583,
        0.0263125,
        0.0260708,
        0.0258699,
        0.0255607,
        0.0256727,
        0.0255984,
        0.0254832,
        0.0251966,
        0.0249587,
        0.0251647,
        0.0266825,
        0.0277358,
        0.0261808,
        0.024901,
        0.0262216,
        0.0284248,
        0.0255819,
        0.0248775,
        0.0247599,
        0.0248151,
        0.0249472,
        0.0249787,
        0.0247941,
        0.0244834,
        0.0242206,
        0.0241192,
        0.0241519,
        0.0242534,
        0.0240266,
        0.0240028,
        0.0240133,
        0.0240927,
        0.0244629,
        0.0251778,
        0.0256298,
        0.0258382,
        0.0261757,
        0.0268272,
        0.0267366,
        0.0265355,
        0.0264036,
        0.0261189,
        0.0258891,
        0.0260085,
        0.0256615,
        0.0258236,
        0.0261307,
        0.0277277,
        0.028611,
        0.0273569,
        0.0263866,
        0.0259508,
        0.0257635,
        0.0258462,
        0.0258333,
        0.0259652,
        0.0268222,
        0.0285227,
        0.0280898,
        0.0278186,
        0.028337,
        0.0286604,
        0.0286657,
        0.0284579,
        0.0282321,
        0.0282332,
        0.0280682,
        0.0274776,
        0.0272114,
        0.0271723,
        0.02719,
        0.0265102,
        0.0265108,
        0.0263955,
        0.0261568,
        0.0262414,
        0.0263912,
        0.026395,
        0.026253,
        0.0259378,
        0.026189,
        0.0261599,
        0.0260924,
        0.0263462,
        0.0262997,
        0.0260918,
        0.0259409,
        0.0260826,
        0.0266315,
        0.0268529,
        0.0272414,
        0.0276595,
        0.0282616,
        0.0288635,
        0.0294779,
        0.0296941,
        0.0296438,
        0.0292245,
        0.0287449,
        0.0281799,
        0.0287961,
        0.0294309,
        0.0281006,
        0.0269904,
        0.0277973,
        0.0283035,
        0.0269732,
        0.0259586,
        0.0290685,
        0.0285793,
        0.0265852,
        0.0258712,
        0.026169,
        0.0262454,
        0.0264705,
        0.0268014,
        0.0269537,
        0.0274633,
        0.0280843,
        0.0285138,
        0.0291985,
        0.0302012,
        0.0304611,
        0.0310408,
        0.0324051,
        0.0339702,
        0.0354699,
        0.0366581,
        0.0394656,
        0.0458389,
        0.0453654,
        0.047049,
        0.0514031,
        0.057891,
        0.0659571,
        0.0741616,
        0.0853372,
        0.104072,
        0.131725,
        0.177936,
        0.201554,
        0.149484,
        0.11154,
        0.0890497,
        0.0749904,
        0.0638437,
        0.057004,
        0.0513066,
        0.0462957,
        0.0424699,
        0.0397229,
        0.0378291,
        0.0358861,
        0.0340318,
        0.0326024,
        0.0314929,
        0.0305848,
        0.0298143,
        0.0290972,
        0.0287076,
        0.0281213,
        0.0279271,
        0.027765,
        0.0272738,
        0.0269591,
        0.0268626,
        0.0266584,
        0.0265427,
        0.026573,
        0.026522,
        0.026417,
        0.0266389,
        0.0267575,
        0.0278976,
        0.0291983,
        0.0283858,
        0.0279704,
        0.0285408,
        0.0291082,
        0.0314528,
        0.0337345,
        0.0314514,
        0.0299761,
        0.0291254,
        0.0285869,
        0.0281079,
        0.0276459,
        0.0272456,
        0.0271875,
        0.0270573,
        0.0267238,
        0.0265613,
        0.0265864,
        0.026691,
        0.0267846,
        0.027056,
        0.0273182,
        0.027665,
        0.0277921,
        0.0282656,
        0.0283679,
        0.0281314,
        0.027557,
        0.0268289,
        0.0264906,
        0.025592,
        0.0245684,
        0.02381,
        0.0236054,
        0.0233885,
        0.0232706,
        0.0233057,
        0.0230803,
        0.0230948,
        0.0230822,
        0.0232506,
        0.0231729,
        0.0230813,
        0.0227633,
        0.022558,
        0.0224823,
        0.0224961,
        0.0226833,
        0.0229176,
        0.0231646,
        0.0231863,
        0.0231531,
        0.0232191,
        0.0230106,
        0.0228292,
        0.0226332,
        0.0224865,
        0.0223889,
        0.0234865,
        0.0252292,
        0.024429,
        0.0229823,
        0.0238131,
        0.0254045,
        0.0247734,
        0.023696,
        0.0235318,
        0.02374,
        0.0245988,
        0.0252689,
        0.0247689,
        0.0244869,
        0.0246998,
        0.0249003,
        0.0250417,
        0.025017,
        0.0252788,
        0.0255796,
        0.0261969,
        0.0266116,
        0.0270415,
        0.0272995,
        0.027634,
        0.0277473,
        0.0277723,
        0.0273865,
        0.026869,
        0.0267597,
        0.0266504,
        0.0264076,
        0.0262693,
        0.0260963,
        0.0262873,
        0.0264905,
        0.0262756,
        0.0259985,
        0.0260166,
        0.0260637,
        0.026154,
        0.0256501,
        0.025576,
        0.0260425,
        0.026317,
        0.0261428,
        0.0260582,
        0.0262197,
        0.0261785,
        0.0261268,
        0.026402,
        0.0270336,
        0.0272167,
        0.0273146,
        0.0275564,
        0.0279975,
        0.0291052,
        0.0307243,
        0.0305647,
        0.0298422,
        0.0306172,
        0.0312487,
        0.0314615,
        0.0318986,
        0.0332575,
        0.034246,
        0.0354361,
        0.0372197,
        0.0379502,
        0.0392659,
        0.0408823,
        0.0429353,
        0.0444896,
        0.047714,
        0.0523816,
        0.0569445,
        0.0633526,
        0.0715159,
        0.0832594,
        0.103218,
        0.128325,
        0.16495,
        0.2193,
        0.168705,
        0.128332,
        0.101867,
        0.0851216,
        0.0723876,
        0.0643924,
        0.0584149,
        0.0539638,
        0.0506753,
        0.0473746,
        0.045301,
        0.0430106,
        0.0414459,
        0.0400279,
        0.0385375,
        0.0370087,
        0.0357026,
        0.034855,
        0.0345252,
        0.0339364,
        0.0335051,
        0.0330934,
        0.0328172,
        0.0323636,
        0.0314206,
        0.0312047,
        0.0308865,
        0.0309935,
        0.0310179,
        0.0319285,
        0.0330361,
        0.0324555,
        0.0317107,
        0.0325611,
        0.0337521,
        0.0318808,
        0.0310803,
        0.0309058,
        0.0309755,
        0.0309148,
        0.0309345,
        0.0312318,
        0.0309213,
        0.0310375,
        0.0314168,
        0.0318312,
        0.0321471,
        0.0330942,
        0.0331593,
        0.0335106,
        0.0335993,
        0.0341078,
        0.0339619,
        0.0339899,
        0.0334932,
        0.0331736,
        0.0329054,
        0.0324969,
        0.0326215,
        0.0322796,
        0.0328647,
        0.0326173,
        0.0329405,
        0.0324572,
        0.032948,
        0.0338102,
        0.0333453,
        0.0329595,
        0.0332238,
        0.0332227,
        0.0335227,
        0.0338296,
        0.0340829,
        0.0342644,
        0.035055,
        0.0355993,
        0.0365775,
        0.0370674,
        0.0385518,
        0.0400821,
        0.0416973,
        0.0423137,
        0.0434992,
        0.0437494,
        0.0444703,
        0.0446676,
        0.0445879,
        0.0450505,
        0.0443474,
        0.0441514,
        0.0444661,
        0.0443014,
        0.0451969,
        0.0460111,
        0.0468319,
        0.048861,
        0.0517193,
        0.0540522,
        0.0566087,
        0.0602667,
        0.0636177,
        0.0680072,
        0.0743293,
        0.0787651,
        0.0870184,
        0.0986192,
        0.111988,
        0.127492,
        0.160575,
        0.20731,
        0.252317,
        0.194809,
        0.156135,
        0.136106,
        0.119518,
        0.103725,
        0.0936955,
        0.0862893,
        0.0764492,
        0.0760636,
        0.0713929,
        0.0657452,
        0.0610157,
        0.058052,
        0.0562866,
        0.05424,
        0.0521088,
        0.0514089,
        0.0503496,
        0.0552539,
        0.0541159,
        0.0543218,
        0.0494723,
        0.0488438,
        0.0475463,
        0.0454785,
        0.0437555,
        0.0427977,
        0.0419558,
        0.0402899,
        0.0400137,
        0.0395359,
        0.0390992,
        0.0390064,
        0.0438456,
        0.0437845,
        0.0398274,
        0.0403006,
        0.0406092,
        0.0412549,
        0.0425587,
        0.0435232,
        0.0447019,
        0.0521803,
        0.0570566,
        0.0656823,
        0.0699646,
        0.0604107,
        0.0658956,
        0.0741741,
        0.0850583,
        0.0995291,
        0.117633,
        0.146275,
        0.199241,
        0.263953,
        0.12261,
        0.113608,
        0.0912842,
        0.0719525,
        0.0641321,
        0.0588927,
        0.0538217,
        0.0501794,
        0.0478002,
        0.0459327,
        0.0436592,
        0.0418321,
        0.0410177,
        0.0408633,
        0.0395296,
        0.0384519,
        0.0381283,
        0.0379218,
        0.0373775,
        0.0370427,
        0.0369802,
        0.0361484,
        0.0350992,
        0.0344852,
        0.0341579,
        0.0339884,
        0.033688,
        0.0333421,
        0.0331243,
        0.0331576,
        0.0325593,
        0.0323295,
        0.0324183,
        0.0326097,
        0.033109,
        0.0329799,
        0.0332036,
        0.0328784,
        0.0326328,
        0.0324791,
        0.0335928,
        0.0373748,
        0.0384132,
        0.0343503,
        0.0341726,
        0.0342522,
        0.0338181,
        0.0337238,
        0.0340055,
        0.033796,
        0.0331376,
        0.0326216,
        0.0329234,
        0.0326742,
        0.0327361,
        0.0326687,
        0.0327838,
        0.0328836,
        0.0330082,
        0.0336342,
        0.0338556,
        0.034203,
        0.0341591,
        0.0345829,
        0.0362589,
        0.0356191,
        0.0340502,
        0.0336807,
        0.03394,
        0.0340191,
        0.0337896,
        0.0337778,
        0.0338835,
        0.0338441,
        0.033633,
        0.0334254,
        0.0332411,
        0.0332159,
        0.033185,
        0.0327724,
        0.0329351,
        0.0328811,
        0.0330141,
        0.033153,
        0.0329292,
        0.0332731,
        0.0330673,
        0.0328675,
        0.0332204,
        0.0334976,
        0.0331108,
        0.0324633,
        0.0323693,
        0.0322279,
        0.0318486,
        0.0315776,
        0.0314289,
        0.0315029,
        0.0321278,
        0.0330692,
        0.032718,
        0.0320789,
        0.0321145,
        0.0323703,
        0.0327734,
        0.033103,
        0.0337875,
        0.0342153,
        0.0345139,
        0.0342164,
        0.0341735,
        0.0337436,
        0.0331705,
        0.0329592,
        0.0330746,
        0.0327325,
        0.0329871,
        0.0333757,
        0.0330838,
        0.0331254,
        0.0335436,
        0.0338478,
        0.0340627,
        0.0344525,
        0.034376,
        0.0350093,
        0.0354196,
        0.0351039,
        0.0353051,
        0.0353836,
        0.0351159,
        0.0352132,
        0.0353595,
        0.0356349,
        0.0352491,
        0.035649,
        0.0373289,
        0.0376002,
        0.0361826,
        0.036141,
        0.0368022,
        0.0376671,
        0.0384245,
        0.0386012,
        0.0382259,
        0.0378205,
        0.03804,
        0.0388877,
        0.0396084,
        0.0397819,
        0.039264,
        0.0394316,
        0.0398546,
        0.0405509,
        0.0411392,
        0.04108,
        0.0419255,
        0.0427764,
        0.0443155,
        0.0434908,
        0.044086,
        0.0445842,
        0.0449443,
        0.0457337,
        0.0465946,
        0.0478008,
        0.0493099,
        0.0509213,
        0.0539508,
        0.0561971,
        0.0585228,
        0.0606258,
        0.0630138,
        0.065691,
        0.0695526,
        0.0748246,
        0.0829869,
        0.0911045,
        0.105948,
        0.12974,
        0.158097,
        0.200429,
        0.206588,
        0.169446,
        0.142086,
        0.124016,
        0.111321,
        0.106251,
        0.0998201,
        0.0935824,
        0.0907586,
        0.0907435,
        0.0883762,
        0.0878063,
        0.0874599,
        0.0864654,
        0.0867644,
        0.0895257,
        0.0889876,
        0.0893928,
        0.0924162,
        0.0951376,
        0.0949961,
        0.0998044,
        0.101426,
        0.108807,
        0.109067,
        0.110749,
        0.115553,
        0.116874,
        0.119933,
        0.125305,
        0.135329,
        0.147575,
        0.152751,
        0.162891,
        0.169277,
        0.187906,
        0.198209,
        0.220903,
        0.243873,
        0.237947,
        0.209922,
        0.20197,
        0.173183,
        0.159275,
        0.159013,
        0.14581,
        0.13603,
        0.127842,
        0.125039,
        0.119146,
        0.113195,
        0.110644,
        0.104467,
        0.0990842,
        0.0974921,
        0.0960713,
        0.0897132,
        0.087788,
        0.0850144,
        0.0825912,
        0.0836872,
        0.0831487,
        0.0812665,
        0.0787205,
        0.076056,
        0.073261,
        0.0706377,
        0.0696987,
        0.0688419,
        0.066879,
        0.0647402,
        0.063224,
        0.062004,
        0.0604243,
        0.0596839,
        0.0594612,
        0.0580723,
        0.057621,
        0.0566807,
        0.0557318,
        0.0540762,
        0.0541491,
        0.0534628,
        0.0527412,
        0.0553761,
        0.0537424,
        0.0519708,
        0.0535522,
        0.0519125,
        0.0503202,
        0.0496622,
        0.0491876,
        0.0494634,
        0.0486937,
        0.0480029,
        0.0485662,
        0.0484605,
        0.0511568,
        0.0501485,
        0.047853,
        0.050554,
        0.050174,
        0.0468614,
        0.0466972,
        0.0468107,
        0.0473663,
        0.0480782,
        0.0475909,
        0.0471671,
        0.0469473,
        0.0466425,
        0.0464273,
        0.0466696,
        0.047397,
        0.0482414,
        0.0481466,
        0.0482926,
        0.0484389,
        0.0485414,
        0.0491719,
        0.0508382,
        0.0509507,
        0.052454,
        0.0518025,
        0.0528277,
        0.0540355,
        0.0552341,
        0.0566874,
        0.0575063,
        0.0591088,
        0.0611507,
        0.0619631,
        0.0649474,
        0.0680906,
        0.0738608,
        0.0796458,
        0.087408,
        0.0980498,
        0.116874,
        0.146689,
        0.177663,
        0.248537,
        0.31735,
        0.396644,
        0.20744,
        0.15911,
        0.131812,
        0.115877,
        0.0958381,
        0.0850895,
        0.0792768,
        0.07376,
        0.0673269,
        0.0628783,
        0.0644915,
        0.059837,
        0.0553894,
        0.0538001,
        0.0584577,
        0.0575555,
        0.0504126,
        0.0504395,
        0.0492386,
        0.0486571,
        0.0479493,
        0.0488703,
        0.0473884,
        0.0471523,
        0.0468419,
        0.0468055,
        0.0463993,
        0.0467607,
        0.0463396,
        0.0466993,
        0.0466457,
        0.0491312,
        0.0487771,
        0.0467211,
        0.0458821,
        0.0506268,
        0.0488422,
        0.0466521,
        0.0473441,
        0.0475888,
        0.0482673,
        0.0480546,
        0.0487528,
        0.0495571,
        0.0501733,
        0.0515797,
        0.052267,
        0.0521934,
        0.0520753,
        0.0524102,
        0.0514992,
        0.0520391,
        0.0505597,
        0.0505564,
        0.0500557,
        0.0502981,
        0.049176,
        0.0499881,
        0.0497908,
        0.0498871,
        0.0504445,
        0.0511496,
        0.0504829,
        0.0528207,
        0.0530787,
        0.055814,
        0.0550536,
        0.052322,
        0.0521583,
        0.0511298,
        0.0524134,
        0.0535324,
        0.0533648,
        0.0536641,
        0.0532452,
        0.0528324,
        0.0534706,
        0.0519978,
        0.0532366,
        0.0530163,
        0.0549804,
        0.054243,
        0.0542794,
        0.053985,
        0.0545669,
        null,
        0.157676,
        0.137376,
        0.110721,
        0.0890778,
        0.0736956,
        0.063688,
        0.0569479,
        0.0516991,
        0.0479446,
        0.0456567,
        0.0433293,
        0.0412942,
        0.0397879,
        0.0386778,
        0.0376052,
        0.0367266,
        0.0357534,
        0.0352289,
        0.0346637,
        0.0342029,
        0.0337406,
        0.0336729,
        0.0335059,
        0.0331764,
        0.0326883,
        0.032542,
        0.0322284,
        0.032105,
        0.0318496,
        0.0316806,
        0.0315475,
        0.0314873,
        0.031254,
        0.0314449,
        0.0315449,
        0.0312337,
        0.0309556,
        0.0310649,
        0.0311073,
        0.0309316,
        0.0308417,
        0.0309003,
        0.0312985,
        0.0321449,
        0.0320085,
        0.0314323,
        0.0316504,
        0.0320208,
        0.0323937,
        0.0324425,
        0.0322389,
        0.0321519,
        0.0322267,
        0.0319987,
        0.0315869,
        0.0313986,
        0.03117,
        0.0307547,
        0.0305162,
        0.0303332,
        0.0302768,
        0.0301778,
        0.0300973,
        0.0300296,
        0.0298814,
        0.0299272,
        0.0300427,
        0.0301224,
        0.0301565,
        0.0301333,
        0.0301577,
        0.0296799,
        0.0293089,
        0.0294332,
        0.0291877,
        0.0289822,
        0.0287395,
        0.0285592,
        0.0284688,
        0.028304,
        0.0284234,
        0.0282172,
        0.0282479,
        0.028318,
        0.0287446,
        0.0287915,
        0.0288838,
        0.0288851,
        0.0293618,
        0.0299914,
        0.0302528,
        0.0298098,
        0.0291931,
        0.0290097,
        0.0286051,
        0.0289401,
        0.0293712,
        0.0296507,
        0.0293992,
        0.0293887,
        0.0292917,
        0.0294846,
        0.029307,
        0.0293982,
        0.0294799,
        0.0297389,
        0.030021,
        0.0298867,
        0.0298224,
        0.029638,
        0.0298126,
        0.0296594,
        0.029566,
        0.0294234,
        0.0293055,
        0.0288471,
        0.0286975,
        0.0286979,
        0.0284801,
        0.028868,
        0.0297401,
        0.0294722,
        0.0286406,
        0.0284405,
        0.028487,
        0.0283271,
        0.0284455,
        0.0285483,
        0.0285348,
        0.0284492,
        0.0282077,
        0.0282274,
        0.0283903,
        0.0280475,
        0.0279904,
        0.0279798,
        0.0279681,
        0.0282769,
        0.0285288,
        0.0285083,
        0.0285864,
        0.0286991,
        0.0285326,
        0.0288285,
        0.0292024,
        0.0292114,
        0.0293858,
        0.0297103,
        0.0297685,
        0.0303225,
        0.0308749,
        0.0309784,
        0.0315521,
        0.0321922,
        0.0328744,
        0.0336574,
        0.035049,
        0.0368971,
        0.0388437,
        0.0415855,
        0.0448146,
        0.0491126,
        0.0558852,
        0.0636986,
        0.0744322,
        0.0865644,
        0.0972477,
        0.0934267,
        0.081535,
        0.0687976,
        0.0591155,
        0.0515432,
        0.0476267,
        0.0431027,
        0.0401393,
        0.038382,
        0.0374259,
        0.0357683,
        0.0348367,
        0.0339531,
        0.0332476,
        0.0331142,
        0.0327341,
        0.0324237,
        0.032508,
        0.0323856,
        0.0322287,
        0.0320651,
        0.0322112,
        0.032169,
        0.0315652,
        0.0314374,
        0.0313661,
        0.0314868,
        0.033185,
        0.0331543,
        0.0323898,
        0.0330888,
        0.034068,
        0.0346285,
        0.0347153,
        0.034965,
        0.0351271,
        0.034756,
        0.034283,
        0.0338721,
        0.0335824,
        0.0335128,
        0.0336585,
        0.0337726,
        0.0338355,
        0.0339502,
        0.0349304,
        0.0347285,
        0.0335282,
        0.0334271,
        0.0335322,
        0.033835,
        0.0342912,
        0.0345684,
        0.0350579,
        0.0360634,
        0.0365483,
        0.0366784,
        0.037495,
        0.0410053,
        0.0411978,
        0.0394639,
        0.0400054,
        0.0384479,
        0.039147,
        0.0399731,
        0.0407016,
        0.0408857,
        0.0412954,
        0.0419805,
        0.0423392,
        0.0430444,
        0.0440665,
        0.0448021,
        0.0460937,
        0.0471465,
        0.0491661,
        0.0506251,
        0.051946,
        0.0543446,
        0.0558052,
        0.0585917,
        0.0619476,
        0.0664971,
        0.0721641,
        0.078853,
        0.0863604,
        0.0921501,
        0.0982028,
        0.108028,
        0.121957,
        0.141228,
        0.168553,
        0.215165,
        0.272167,
        0.245694,
        0.209481,
        0.171972,
        0.146281,
        0.126246,
        0.119091,
        0.109063,
        0.0998594,
        0.0947409,
        0.0873933,
        0.0814851,
        0.0795848,
        0.0769858,
        0.0725665,
        0.0706531,
        0.0686666,
        0.0676058,
        0.0654461,
        0.0644028,
        0.0638278,
        0.0647372,
        0.0690609,
        0.0688086,
        0.0629278,
        0.0614383,
        0.060298,
        0.059679,
        0.0604085,
        0.0603417,
        0.0608387,
        0.060004,
        0.060475,
        0.0607113,
        0.0594729,
        0.058848,
        0.0579594,
        0.0546512,
        0.0512286,
        0.0477252,
        0.0438578,
        0.0405185,
        0.0374671,
        0.0352703,
        0.0341876,
        0.0335717,
        0.0337167,
        0.0334196,
        0.0334729,
        0.0335255,
        0.0332613,
        0.0329727,
        0.0333285,
        0.0338902,
        0.0351974,
        0.0367203,
        0.038974,
        0.0424137,
        0.046925,
        0.0523805,
        0.0584542,
        0.0620686,
        0.0627828,
        0.0583773,
        0.0514288,
        0.045518,
        0.041011,
        0.0386533,
        0.0368809,
        0.0336477,
        0.0321229,
        0.0306867,
        0.0297106,
        0.0289256,
        0.0295008,
        0.0282403,
        0.0277151,
        0.0274596,
        0.0269197,
        0.0266144,
        0.0267044,
        0.0260995,
        0.0257714,
        0.025354,
        0.0253575,
        0.025038,
        0.025207,
        0.0269662,
        0.0268042,
        0.02468,
        0.0244951,
        0.0245016,
        0.0247732,
        0.0246155,
        0.0245698,
        0.0244721,
        0.0245167,
        0.0244196,
        0.0241631,
        0.0240706,
        0.0239568,
        0.0236643,
        0.0241333,
        0.0239416,
        0.0233166,
        0.0231015,
        0.0231138,
        0.0229293,
        0.0229332,
        0.022845,
        0.0238989,
        0.0236897,
        0.0228201,
        0.0227862,
        0.0226701,
        0.0227538,
        0.0226507,
        0.0228176,
        0.0227878,
        0.022786,
        0.0228919,
        0.0228406,
        0.0231647,
        0.0230963,
        0.0231567,
        0.0234097,
        0.0235071,
        0.0235956,
        0.0238139,
        0.0271947,
        0.0274204,
        0.0238422,
        0.0238554,
        0.0238079,
        0.0238996,
        0.0242683,
        0.0240958,
        0.0240033,
        0.0241329,
        0.0239896,
        0.0239971,
        0.0238049,
        0.0232492,
        0.0229967,
        0.0230193,
        0.0227511,
        0.0225082,
        0.0225604,
        0.0223389,
        0.0224565,
        0.0227422,
        0.0243047,
        0.0240586,
        0.0221932,
        0.0222896,
        0.0219295,
        0.0216792,
        0.0217689,
        0.021596,
        0.0216034,
        0.0217716,
        0.0217541,
        0.0215248,
        0.0215214,
        0.0217685,
        0.0218244,
        0.0215316,
        0.0214589,
        0.0215107,
        0.0214853,
        0.0214231,
        0.0212379,
        0.0212439,
        0.0215531,
        0.0215826,
        0.0214278,
        0.0215169,
        0.0214499,
        0.021497,
        0.0216111,
        0.0217362,
        0.021761,
        0.0218798,
        0.0220717,
        0.0221527,
        0.0237715,
        0.0230334,
        0.0222688,
        0.0227633,
        0.0229276,
        0.0228636,
        0.022695,
        0.0227493,
        0.0227087,
        0.0225706,
        0.0226578,
        0.0227258,
        0.0241977,
        0.0234572,
        0.0224556,
        0.0223226,
        0.0224613,
        0.0226623,
        0.022762,
        0.0229015,
        0.0234862,
        0.0237849,
        0.0233746,
        0.0271586,
        0.0280123,
        0.0232759,
        0.0229312,
        0.0229707,
        0.0231311,
        0.0232015,
        0.0235743,
        0.0239566,
        0.0243945,
        0.0247669,
        0.0251084,
        0.0254168,
        0.0257043,
        0.0259379,
        0.0259792,
        0.0263393,
        0.0268345,
        0.0276037,
        0.0286282,
        0.0300264,
        0.0323224,
        0.0351856,
        0.0385771,
        0.0417091,
        0.0424367,
        0.0413414,
        0.0379999,
        0.0347456,
        0.0324636,
        0.0305484,
        0.0289885,
        0.0279604,
        0.0274652,
        0.0274864,
        0.0275705,
        0.0273208,
        0.0272439,
        0.0277745,
        0.0262294,
        0.0253858,
        0.0248655,
        0.024526,
        0.0243818,
        0.0244677,
        0.0245775,
        0.0246411,
        0.0246916,
        0.0249241,
        0.0251691,
        0.0272528,
        0.0263981,
        0.0265946,
        0.0273065,
        0.027494,
        0.0272716,
        0.0267947,
        0.0264004,
        0.0256632,
        0.0249017,
        0.0243932,
        0.023845,
        0.0234677,
        0.0230354,
        0.022606,
        0.0223485,
        0.0222172,
        0.0221887,
        0.0218985,
        0.0218407,
        0.0217567,
        0.0218388,
        0.0218851,
        0.0219659,
        0.0219709,
        0.0216459,
        0.0217801,
        0.0215892,
        0.0215307,
        0.0214582,
        0.0212201,
        0.0213063,
        0.0222446,
        0.0227764,
        0.0256881,
        0.0256805,
        0.0223223,
        0.0221181,
        0.022131,
        0.022032,
        0.0220555,
        0.0223185,
        0.022438,
        0.0227511,
        0.0230489,
        0.0232439,
        0.0232393,
        0.0233411,
        0.0235107,
        0.0233155,
        0.0231899,
        0.0232815,
        0.0228654,
        0.0229223,
        0.0232222,
        0.0233,
        0.0230951,
        0.0230238,
        0.0232605,
        0.0230032,
        0.0231366,
        0.0233679,
        0.0236625,
        0.0236119,
        0.0234691,
        0.0234484,
        0.0234078,
        0.0234986,
        0.0239475,
        0.0270702,
        0.0269708,
        0.0277801,
        0.0276099,
        0.023534,
        0.0236385,
        0.0234934,
        0.0234287,
        0.0240201,
        0.0262248,
        0.025719,
        0.0234222,
        0.023313,
        0.0235173,
        0.0234728,
        0.0237125,
        0.0236226,
        0.0236062,
        0.0240076,
        0.024028,
        0.0241592,
        0.0243448,
        0.0245717,
        0.0248856,
        0.0253088,
        0.0257411,
        0.0260855,
        0.0264576,
        0.0266933,
        0.0269001,
        0.0271288,
        0.027404,
        0.027556,
        0.027725,
        0.02774,
        0.0283634,
        0.0287679,
        0.0294541,
        0.0297312,
        0.0302068,
        0.0308397,
        0.0321284,
        0.0329061,
        0.0340821,
        0.0349124,
        0.0365052,
        0.0388337,
        0.040452,
        0.0424915,
        0.0449944,
        0.0487688,
        0.0522537,
        0.0567629,
        0.0615091,
        0.0678074,
        0.0763319,
        0.0866782,
        0.0989537,
        0.114911,
        0.1352,
        0.154668,
        0.173472,
        0.184632,
        0.192196,
        0.182598,
        0.16573,
        0.148097,
        0.125904,
        0.108941,
        0.0958592,
        0.0811107,
        0.0736206,
        0.0669093,
        0.062244,
        0.0583834,
        0.0565734,
        0.0538833,
        0.0532633,
        0.0530039,
        0.0530054,
        0.0520351,
        0.0493158,
        0.0457508,
        0.0425692,
        0.0392018,
        0.0365232,
        0.0342077,
        0.032909,
        0.0316325,
        0.0306068,
        0.0299531,
        0.0289933,
        0.0284159,
        0.0282134,
        0.0277381,
        0.0285744,
        0.0286068,
        0.0264848,
        0.0265765,
        0.0264534,
        0.0259573,
        0.0260161,
        0.0261756,
        0.0267102,
        0.02994,
        0.0274172,
        0.0257824,
        0.0267036,
        0.0345027,
        0.0312182,
        0.0264418,
        0.0254643,
        0.0254398,
        0.0254523,
        0.025349,
        0.0251292,
        0.0251359,
        0.0252277,
        0.0252877,
        0.027034,
        0.0254959,
        0.0247576,
        0.024683,
        0.0244356,
        0.0242329,
        0.0242189,
        0.0242102,
        0.0241719,
        0.0240063,
        0.0245999,
        0.0273466,
        0.0258882,
        0.0237445,
        0.0239968,
        0.0241522,
        0.0244187,
        0.0255584,
        0.0283211,
        0.0260022,
        0.0248692,
        0.0246429,
        0.0245633,
        0.0245409,
        0.0244781,
        0.0244485,
        0.0243449,
        0.0241414,
        0.0238315,
        0.0234329,
        0.0231056,
        0.0226472,
        0.0225167,
        0.0225239,
        0.0231527,
        0.0229874,
        0.0224248,
        0.0224284,
        0.0223743,
        0.0225806,
        0.0226131,
        0.0237559,
        0.0259627,
        0.0240383,
        0.0230237,
        0.022967,
        0.0227325,
        0.022507,
        0.0226256,
        0.0226816,
        0.0228341,
        0.0228708,
        0.022907,
        0.0227741,
        0.0228661,
        0.0228114,
        0.0228367,
        0.0229991,
        0.0228926,
        0.0228893,
        0.0230115,
        0.0230081,
        0.0230098,
        0.0230109,
        0.0227452,
        0.0226253,
        0.0225046,
        0.0224742,
        0.0223247,
        0.022338,
        0.0224599,
        0.0224996,
        0.0224399,
        0.0222539,
        0.0220785,
        0.0219917,
        0.0220174,
        0.0218758,
        0.0217729,
        0.0217237,
        0.0217598,
        0.0215221,
        0.0214404,
        0.0215563,
        0.0216125,
        0.0216304,
        0.0216643,
        0.0217185,
        0.0222205,
        0.0221318,
        0.0214856,
        0.021081,
        0.0209646,
        0.020954,
        0.0210554,
        0.0210268,
        0.0211344,
        0.0214182,
        0.0212521,
        0.021359,
        0.02155,
        0.0217155,
        0.0220665,
        0.0223384,
        0.0225406,
        0.0226748,
        0.022459,
        0.022637,
        0.0230067,
        0.023391,
        0.0233742,
        0.0235038,
        0.0234012,
        0.0229589,
        0.0225974,
        0.0225626,
        0.0227465,
        0.022663,
        0.022652,
        0.0227492,
        0.0229542,
        0.0229317,
        0.0232376,
        0.0234519,
        0.0235529,
        0.0237135,
        0.0240065,
        0.0243026,
        0.0249578,
        0.0254003,
        0.0258392,
        0.0267526,
        0.0279591,
        0.02964,
        0.0311065,
        0.0328103,
        0.0344016,
        0.0349948,
        0.0346973,
        0.0332046,
        0.0312167,
        0.029493,
        0.0285449,
        0.0279047,
        0.0273068,
        0.0267017,
        0.0260151,
        0.0255868,
        0.0254237,
        0.0252998,
        0.0252602,
        0.0247519,
        0.0243966,
        0.0242584,
        0.0241095,
        0.0247715,
        0.0257091,
        0.0240976,
        0.0228213,
        0.0227005,
        0.0225364,
        0.0225683,
        0.0225472,
        0.0222708,
        0.0226786,
        0.0226095,
        0.0222143,
        0.0222705,
        0.0219327,
        0.0222884,
        0.02322,
        0.0231933,
        0.0223488,
        0.0220361,
        0.0217856,
        0.0232478,
        0.0243275,
        0.0237223,
        0.0228762,
        0.0220227,
        0.0218104,
        0.0217397,
        0.0215844,
        0.0214966,
        0.0215408,
        0.0214124,
        0.0216916,
        0.0219096,
        0.0220435,
        0.0225104,
        0.022461,
        0.0226787,
        0.0227963,
        0.022724,
        0.0229107,
        0.0229821,
        0.0230945,
        0.0226569,
        0.0224185,
        0.0220373,
        0.0217296,
        0.0218212,
        0.0219218,
        0.0217365,
        0.0216526,
        0.0215001,
        0.0211972,
        0.0213588,
        0.0218239,
        0.0217079,
        0.0218723,
        0.0215424,
        0.0215928,
        0.0216212,
        0.0215453,
        0.021165,
        0.0211145,
        0.021074,
        0.0210664,
        0.0209518,
        0.0208704,
        0.0207036,
        0.020785,
        0.020706,
        0.0206561,
        0.020452,
        0.0206706,
        0.0206052,
        0.0207314,
        0.0209094,
        0.0209292,
        0.0212454,
        0.0220446,
        0.0228583,
        0.0217442,
        0.0214208,
        0.021465,
        0.0212947,
        0.0209933,
        0.0209375,
        0.0214237,
        0.0214841,
        0.0213222,
        0.0212584,
        0.021318,
        0.0215767,
        0.0215652,
        0.0218951,
        0.0220852,
        0.0221058,
        0.0221532,
        0.0220096,
        0.022058,
        0.0220977,
        0.0221567,
        0.0219378,
        0.0219405,
        0.0220958,
        0.0221015,
        0.0217121,
        0.0223784,
        0.0227954,
        0.0217925,
        0.0212723,
        0.0212337,
        0.0210519,
        0.0213004,
        0.0212497,
        0.0209015,
        0.0208398,
        0.0211439,
        0.0211139,
        0.0209265,
        0.0209345,
        0.0209427,
        0.0210951,
        0.0212235,
        0.021255,
        0.0212747,
        0.021261,
        0.0214627,
        0.0214892,
        0.0212821,
        0.0211758,
        0.0210651,
        0.0213243,
        0.0211826,
        0.0211713,
        0.0209917,
        0.0210741,
        0.0211957,
        0.0212185,
        0.0212427,
        0.021193,
        0.0211101,
        0.0211345,
        0.0209181,
        0.020821,
        0.0208337,
        0.0210175,
        0.0211669,
        0.0212434,
        0.0215648,
        0.0220569,
        0.022228,
        0.0222672,
        0.0226345,
        0.0229857,
        0.023333,
        0.0239702,
        0.0247797,
        0.0253511,
        0.026017,
        0.0290462,
        0.031415,
        0.0298263,
        0.0282953,
        0.0279641,
        0.0285089,
        0.0283349,
        0.030084,
        0.0303075,
        0.0269186,
        0.0262706,
        0.0266196,
        0.0267143,
        0.0262991,
        0.0254078,
        0.0246103,
        0.0248159,
        0.0241774,
        0.0234801,
        0.0235914,
        0.0226872,
        0.02299,
        0.0238032,
        0.023834,
        0.0224506,
        0.0217018,
        0.021738,
        0.019754,
        0.0208845,
        0.0212699,
        0.0208368,
        0.0208928,
        0.0209186,
        0.0209335,
        0.0210952,
        0.0212146,
        0.0211155,
        0.0210949,
        0.0210622,
        0.020878,
        0.0207975,
        0.0210356,
        0.0210803,
        0.0211219,
        0.0212578,
        0.0213188,
        0.0212887,
        0.0211761,
        0.0213089,
        0.0212828,
        0.0214954,
        0.0217117,
        0.0221145,
        0.0224596,
        0.0222625,
        0.0221507,
        0.0221462,
        0.0220698,
        0.0222558,
        0.0223226,
        0.0221603,
        0.022296,
        0.0224102,
        0.0224278,
        0.0225534,
        0.0226653,
        0.0224484,
        0.0221469,
        0.0221153,
        0.0222274,
        0.0226312,
        0.0228517,
        0.0231793,
        0.0233485,
        0.0234336,
        0.0234422,
        0.0235239,
        0.024022,
        0.0241973,
        0.0244688,
        0.0247503,
        0.025406,
        0.0262541,
        0.0270634,
        0.0275684,
        0.0281757,
        0.027915,
        0.0277071,
        0.0269034,
        0.0259841,
        0.0252195,
        0.0247827,
        0.0241044,
        0.0237422,
        0.023525,
        0.0229473,
        0.0236725,
        0.0251359,
        0.0256726,
        0.0237884,
        0.0225614,
        0.0225886,
        0.0229332,
        0.023421,
        0.0239365,
        0.0244603,
        0.0250534,
        0.0262003,
        0.0276644,
        0.0293066,
        0.0311315,
        0.0332623,
        0.0362151,
        0.0381281,
        0.0388654,
        0.0384027,
        0.0368135,
        0.034678,
        0.0324158,
        0.0304371,
        0.0287347,
        0.0274267,
        0.026225,
        0.0255213,
        0.0251648,
        0.0248379,
        0.0240537,
        0.0236111,
        0.0234316,
        0.0233174,
        0.0232087,
        0.0232728,
        0.0231361,
        0.0234144,
        0.0235537,
        0.0238944,
        0.0241175,
        0.0253863,
        0.0254236,
        0.024101,
        0.0234317,
        0.023222,
        0.0235637,
        0.023296,
        0.0230609,
        0.0225196,
        0.0225454,
        0.0249046,
        0.0256517,
        0.0247602,
        0.0235967,
        0.0224263,
        0.0220252,
        0.0217654,
        0.0216566,
        0.0216865,
        0.0214258,
        0.0213531,
        0.0216321,
        0.0216513,
        0.0215472,
        0.0216365,
        0.0214873,
        0.0214902,
        0.0215595,
        0.0216283,
        0.0217834,
        0.0217684,
        0.0216148,
        0.0218068,
        0.0216291,
        0.0217393,
        0.0220097,
        0.0222185,
        0.0226814,
        0.0228587,
        0.0232013,
        0.0235311,
        0.0237263,
        0.0244327,
        0.0249626,
        0.0254742,
        0.0258168,
        0.0259257,
        0.025918,
        0.0254806,
        0.0253957,
        0.0250686,
        0.0246285,
        0.0241117,
        0.0240553,
        0.0240987,
        0.0242767,
        0.0242754,
        0.0243547,
        0.0247822,
        0.0251978,
        0.0253279,
        0.025661,
        0.0263522,
        0.0282797,
        0.0290772,
        0.0291642,
        0.0288264,
        0.0282621,
        0.0271053,
        0.0266205,
        0.0258148,
        0.0267782,
        0.0269887,
        0.0250287,
        0.02408,
        0.0238565,
        0.0235057,
        0.0231426,
        0.0228156,
        0.0229895,
        0.0231634,
        0.0230513,
        0.0230025,
        0.0230308,
        0.0229534,
        0.0228004,
        0.0228082,
        0.0230299,
        0.0237964,
        0.0249726,
        0.0240688,
        0.023069,
        0.0229978,
        0.0232045,
        0.024901,
        0.0253004,
        0.0237872,
        0.0228858,
        0.022907,
        0.0228841,
        0.0227054,
        0.0247984,
        0.0264567,
        0.0235706,
        0.0227285,
        0.0229906,
        0.0229668,
        0.023014,
        0.0230023,
        0.0232131,
        0.0233863,
        0.023297,
        0.0234078,
        0.0236976,
        0.0237261,
        0.0239043,
        0.0241205,
        0.0242196,
        0.0247856,
        0.0252442,
        0.024921,
        0.0245641,
        0.0244626,
        0.0242559,
        0.0250168,
        0.0257426,
        0.0252638,
        0.0242819,
        0.0242812,
        0.0244933,
        0.0244474,
        0.0244715,
        0.024772,
        0.024506,
        0.0243219,
        0.0245462,
        0.0261502,
        0.0276422,
        0.0259195,
        0.0248757,
        0.0250996,
        0.0252258,
        0.0252227,
        0.0250273,
        0.0246861,
        0.0258815,
        0.029576,
        0.0272429,
        0.0250781,
        0.0242446,
        0.0240902,
        0.0239296,
        0.0242121,
        0.0245128,
        0.0245131,
        0.0243676,
        0.0245388,
        0.0246954,
        0.0245219,
        0.0247821,
        0.0246935,
        0.0243409,
        0.024321,
        0.0243612,
        0.0245409,
        0.0271073,
        0.0285135,
        0.0265094,
        0.0252107,
        0.025938,
        0.0274306,
        0.0280299,
        0.028138,
        0.0271809,
        0.0265019,
        0.0266851,
        0.0270463,
        0.0274988,
        0.0279997,
        0.0281003,
        0.0284728,
        0.0287573,
        0.0286537,
        0.0284701,
        0.028367,
        0.028062,
        0.0279589,
        0.028042,
        0.0282112,
        0.0289216,
        0.0291105,
        0.0282773,
        0.0276641,
        0.0277371,
        0.0276419,
        0.0272783,
        0.0271318,
        0.0273362,
        0.0273704,
        0.027245,
        0.0271387,
        0.0274225,
        0.0276796,
        0.0281667,
        0.0277767,
        0.0290788,
        0.0297523,
        0.0285918,
        0.0278369,
        0.0278443,
        0.0276717,
        0.0276542,
        0.0279647,
        0.0279588,
        0.0285604,
        0.0296301,
        0.0290967,
        0.0281667,
        0.0282696,
        0.0284044,
        0.0284555,
        0.0299474,
        0.0326224,
        0.0304629,
        0.0292736,
        0.0297873,
        0.0305251,
        0.0310346,
        0.031467,
        0.031408,
        0.0314888,
        0.0315484,
        0.032086,
        0.0347255,
        0.0330759,
        0.0309015,
        0.0311699,
        0.0312687,
        0.0311823,
        0.0305576,
        0.0302607,
        0.0302846,
        0.0306151,
        0.0307523,
        0.0307188,
        0.0308195,
        0.031349,
        0.0313236,
        0.0314497,
        0.0320553,
        0.0326346,
        0.0340861,
        0.0347807,
        0.0342351,
        0.0348141,
        0.0352757,
        0.0364669,
        0.038022,
        0.0393231,
        0.0408823,
        0.0416267,
        0.0418052,
        0.0401538,
        0.0382447,
        0.0374115,
        0.0368982,
        0.0369208,
        0.0362849,
        0.0359109,
        0.0359552,
        0.035547,
        0.0353608,
        0.0348545,
        0.0342607,
        0.0341545,
        0.0339965,
        0.0346856,
        0.0343889,
        0.0343652,
        0.0342215,
        0.0345389,
        0.0349687,
        0.0349692,
        0.0344176,
        0.0346661,
        0.0346129,
        0.0349644,
        0.0356066,
        0.0356405,
        0.0357571,
        0.0362779,
        0.0408261,
        0.0432899,
        0.039556,
        0.0380759,
        0.038007,
        0.0386861,
        0.0392702,
        0.0398517,
        0.039878,
        0.0405327,
        0.0410606,
        0.0421412,
        0.0422017,
        0.044849,
        0.0446718,
        0.0441998,
        0.0448704,
        0.0462498,
        0.0467127,
        0.0476702,
        0.0503562,
        0.0512698,
        0.0521724,
        0.0533373,
        0.0549836,
        0.0559704,
        0.0576113,
        0.0609575,
        0.0621799,
        0.0667682,
        0.0705952,
        0.0743927,
        0.0758363,
        0.0799325,
        0.0849443,
        0.0933098,
        0.100893,
        0.107996,
        0.117448,
        0.130485,
        0.140953,
        0.157873,
        0.186917,
        0.206908,
        0.236019,
        0.221551,
        0.193471,
        0.172692,
        0.165269,
        0.154762,
        0.141441,
        0.141415,
        0.146375,
        0.137696,
        0.123953,
        0.121977,
        0.118724,
        0.118163,
        0.127449,
        0.134341,
        0.12087,
        0.123439,
        0.125137,
        0.129196,
        0.140333,
        0.150765,
        0.155426,
        0.171774,
        0.188203,
        0.207742,
        0.230412,
        0.189465,
        0.170607,
        0.155927,
        0.148023,
        0.13465,
        0.121227,
        0.115173,
        0.106583,
        0.104405,
        0.0980764,
        0.0926317,
        0.0977342,
        0.10656,
        0.0980944,
        0.0758424,
        0.0712969,
        0.0701309,
        0.0687039,
        0.0675126,
        0.065359,
        0.0702719,
        0.0698534,
        0.0625018,
        0.0603155,
        0.0595024,
        0.0583603,
        0.0588033,
        0.0584459,
        0.0587042,
        0.0642496,
        0.0621454,
        0.0546457,
        0.054556,
        0.0536186,
        0.0529869,
        0.0533098,
        0.0542565,
        0.0556159,
        0.0585105,
        0.0612249,
        0.0634904,
        0.0651247,
        0.0662182,
        0.063755,
        0.0623785,
        0.0599463,
        0.0571475,
        0.0545331,
        0.0523553,
        0.0511565,
        0.0505564,
        0.0488163,
        0.0468604,
        0.0459442,
        0.0454994,
        0.0445961,
        0.0444804,
        0.044121,
        0.0432664,
        0.0433158,
        0.043601,
        0.0433929,
        0.0425358,
        0.0425748,
        0.0425356,
        0.0415523,
        0.0431425,
        0.0433576,
        0.040806,
        0.0398663,
        0.0392309,
        0.038999,
        0.0384502,
        0.0377487,
        0.0375542,
        0.0390248,
        0.0392746,
        0.0382867,
        0.0373501,
        0.0363135,
        0.0349968,
        0.0344824,
        0.0341222,
        0.0336103,
        0.0332379,
        0.0331131,
        0.0330629,
        0.0328908,
        0.0325979,
        0.0327444,
        0.0330489,
        0.0327013,
        0.0323599,
        0.0321775,
        0.0323536,
        0.0325912,
        0.0328608,
        0.0323446,
        0.0318465,
        0.0318724,
        0.0319879,
        0.0320188,
        0.0326492,
        0.0334128,
        0.0329826,
        0.0324955,
        0.032259,
        0.0319359,
        0.0316329,
        0.0318041,
        0.0322833,
        0.0324078,
        0.0322761,
        0.0322772,
        0.032063,
        0.0318136,
        0.0321517,
        0.0322474,
        0.0322476,
        0.0321599,
        0.0323661,
        0.0324249,
        0.0322173,
        0.0318481,
        0.0318117,
        0.0315067,
        0.0313951,
        0.0311587,
        0.0311089,
        0.0308069,
        0.0308845,
        0.0312649,
        0.0311082,
        0.0306177,
        0.0308197,
        0.0319217,
        0.032977,
        0.0317877,
        0.0305047,
        0.030561,
        0.0307081,
        0.030807,
        0.0307321,
        0.0312471,
        0.0313245,
        0.0317115,
        0.0318073,
        0.0318143,
        0.0317133,
        0.0321214,
        0.0322663,
        0.0323539,
        0.0326029,
        0.0328463,
        0.033638,
        0.0333879,
        0.0332729,
        0.0333143,
        0.0330272,
        0.0329169,
        0.0329468,
        0.0326762,
        0.0328183,
        0.0332002,
        0.0333404,
        0.0330974,
        0.035229,
        0.0381717,
        0.0361135,
        0.0347156,
        0.0343697,
        0.0342825,
        0.0339453,
        0.0335019,
        0.0338183,
        0.034081,
        0.034601,
        0.0348634,
        0.035275,
        0.0352974,
        0.0353097,
        0.0355322,
        0.0357366,
        0.0356937,
        0.0361474,
        0.0362562,
        0.0367088,
        0.0381614,
        0.0391138,
        0.0397423,
        0.0372242,
        0.0350364,
        0.0347752,
        0.0346875,
        0.0337042,
        0.0339305,
        0.0336532,
        0.0327214,
        0.0323454,
        0.0321673,
        0.0322513,
        0.0322137,
        0.0324177,
        0.0325701,
        0.032106,
        0.0319015,
        0.032226,
        0.0318335,
        0.0321704,
        0.0335677,
        0.0333671,
        0.0334351,
        0.0333203,
        0.0313464,
        0.0307746,
        0.0309859,
        0.0310031,
        0.0310814,
        0.0308809,
        0.0304239,
        0.0305252,
        0.0300788,
        0.0299881,
        0.0300867,
        0.0300977,
        0.030222,
        0.0308065,
        0.0308853,
        0.0312385,
        0.0314123,
        0.0313053,
        0.0315061,
        0.0316981,
        0.0325939,
        0.0331238,
        0.0334869,
        0.0336425,
        0.0347414,
        0.0355576,
        0.0366583,
        0.0384372,
        0.0409278,
        0.0428791,
        0.0435639,
        0.0435238,
        0.041575,
        0.0396591,
        0.0383159,
        0.0370644,
        0.0369555,
        0.036376,
        0.0358107,
        0.0356668,
        0.0351546,
        0.0354409,
        0.0351801,
        0.0350941,
        0.034963,
        0.0347708,
        0.0345316,
        0.0341347,
        0.0344513,
        0.0347699,
        0.0348166,
        0.0354396,
        0.0355397,
        0.0367644,
        0.037602,
        0.0373175,
        0.0372755,
        0.0358341,
        0.0355903,
        0.0357464,
        0.0355564,
        0.0355929,
        0.0352802,
        0.0352337,
        0.034976,
        0.0354101,
        0.0358569,
        0.0356338,
        0.035679,
        0.0357542,
        0.0355888,
        0.0352507,
        0.0346294,
        0.0351908,
        0.0353834,
        0.0343798,
        0.0356582,
        0.0357341,
        0.0345047,
        0.0348122,
        0.0347678,
        0.0343701,
        0.0343891,
        0.0347409,
        0.0342353,
        0.034922,
        0.034786,
        0.034612,
        0.0366909,
        0.0369346,
        0.0349791,
        0.0365965,
        0.0376523,
        0.0345044,
        0.0345458,
        0.0342763,
        0.0345111,
        0.0346527,
        0.0349638,
        0.0347211,
        0.0346439,
        0.0350211,
        0.0351713,
        0.0357611,
        0.0356481,
        0.0352954,
        0.035786,
        0.0357718,
        0.0353087,
        0.0352468,
        0.0361864,
        0.0359277,
        0.0360314,
        0.0363263,
        0.0367139,
        0.0368498,
        0.0370813,
        0.0371302,
        0.0372454,
        0.037659,
        0.037896,
        0.0376224,
        0.0380268,
        0.0381702,
        0.0382877,
        0.0381437,
        0.0388336,
        0.03858,
        0.0391937,
        0.0384332,
        0.0389491,
        0.0400071,
        0.0401176,
        0.0403967,
        0.0405874,
        0.0405846,
        0.0405373,
        0.0405601,
        0.041435,
        0.0417763,
        0.0419839,
        0.0416865,
        0.0424567,
        0.0431777,
        0.0423501,
        0.043273,
        0.0443707,
        0.0446764,
        0.0457931,
        0.0457842,
        0.0458406,
        0.0461503,
        0.0465556,
        0.0461884,
        0.0465025,
        0.0475515,
        0.0479278,
        0.0483586,
        0.0483104,
        0.0489046,
        0.0497163,
        0.0494504,
        0.0503364,
        0.0511254,
        0.0515606,
        0.0517753,
        0.0525086,
        0.0533345,
        0.0548894,
        0.0544946,
        0.0544035,
        0.0555979,
        0.0560042,
        0.0569526,
        0.0576939,
        0.0576514,
        0.0589768,
        0.0610738,
        0.0611409,
        0.0609388,
        0.0635497,
        0.0638999,
        0.0653126,
        0.0670132,
        0.0691147,
        0.0700468,
        0.0721778,
        0.0737337,
        0.0744729,
        0.0790888,
        0.0815143,
        0.0845228,
        0.0860432,
        0.0892611,
        0.0911195,
        0.0947199,
        0.0987449,
        0.101255,
        0.104339,
        0.110081,
        0.121004,
        0.126849,
        0.12921,
        0.144452,
        0.152198,
        0.165474,
        0.180099,
        0.200962,
        0.211517,
        null,
        0.0566857,
        0.0579153,
        0.0574987,
        0.057565,
        0.0580351,
        0.0587797,
        0.0519638,
        0.0457338,
        0.0438487,
        0.0423505,
        0.0408468,
        0.0396004,
        0.0394323,
        0.0390555,
        0.0381118,
        0.0372554,
        0.0369922,
        0.0372911,
        0.0375073,
        0.0375264,
        0.0372172,
        0.0371632,
        0.0369037,
        0.0369038,
        0.0388138,
        0.0393896,
        0.0379749,
        0.0372927,
        0.0373459,
        0.0377826,
        0.0383377,
        0.0379587,
        0.0376773,
        0.0379006,
        0.0379925,
        0.0378914,
        0.0383597,
        0.0382698,
        0.0386713,
        0.0393803,
        0.0393934,
        0.0392359,
        0.0393017,
        0.0395043,
        0.0394737,
        0.0408695,
        0.0419615,
        0.0409748,
        0.0399184,
        0.0397919,
        0.0399521,
        0.0399774,
        0.0401842,
        0.0408748,
        0.0409202,
        0.0404828,
        0.0406283,
        0.0409802,
        0.0413826,
        0.0416195,
        0.0419934,
        0.0425172,
        0.0433262,
        0.0433716,
        0.0435717,
        0.044217,
        0.0453764,
        0.0454516,
        0.0457582,
        0.046946,
        0.0469986,
        0.0476555,
        0.0476292,
        0.0477049,
        0.0491194,
        0.0508296,
        0.0538233,
        0.0568358,
        0.059161,
        0.0605305,
        0.0597022,
        0.0570494,
        0.0552315,
        0.0535242,
        0.0524231,
        0.0518073,
        0.0519458,
        0.0518678,
        0.0519402,
        0.0524306,
        0.0526159,
        0.053401,
        0.0535858,
        0.053164,
        0.0538433,
        0.0559761,
        0.0592837,
        0.0588594,
        0.0568595,
        0.0575086,
        0.0580876,
        0.0583852,
        0.0580801,
        0.0592786,
        0.0605791,
        0.0617175,
        0.0620222,
        0.0627084,
        0.0626923,
        0.0652322,
        0.0654156,
        0.0655648,
        0.0678013,
        0.0683956,
        0.0688887,
        0.0700761,
        0.0722474,
        0.0743897,
        0.077108,
        0.0853543,
        0.0853575,
        0.0812652,
        0.0834261,
        0.0851967,
        0.0878387,
        0.0898751,
        0.0935735,
        0.0961575,
        0.100244,
        0.104192,
        0.112074,
        0.117468,
        0.121979,
        0.132723,
        0.136176,
        0.143161,
        0.145675,
        0.163468,
        0.178271,
        0.202385,
        0.213816,
        0.223208,
        0.257071,
        0.242811,
        0.219736,
        0.198169,
        0.196277,
        0.1948,
        0.188857,
        0.185524,
        0.18237,
        0.180817,
        0.174103,
        0.175093,
        0.176897,
        0.168849,
        0.16792,
        0.168166,
        0.171028,
        0.183781,
        0.187719,
        0.194954,
        0.195987,
        0.190288,
        0.18158,
        0.187436,
        0.221246,
        0.224885,
        0.225227,
        0.243942,
        0.248305,
        0.254853,
        0.24718,
        0.226476,
        0.198982,
        0.193476,
        0.180552,
        0.16522,
        0.159442,
        0.150492,
        0.148224,
        0.152442,
        0.142253,
        0.137684,
        0.136647,
        0.13313,
        0.125763,
        0.115482,
        0.114574,
        0.112989,
        0.111315,
        0.110411,
        0.104492,
        0.105213,
        0.104703,
        0.104105,
        0.104828,
        0.0988629,
        0.0980496,
        0.0956606,
        0.0937512,
        0.0918653,
        0.0907775,
        0.0909915,
        0.0912561,
        0.0923733,
        0.091413,
        0.0910659,
        0.0880542,
        0.0875458,
        0.0887022,
        0.0897105,
        0.0892758,
        0.0892909,
        0.0881905,
        0.0899534,
        0.0908928,
        0.0909184,
        0.090485,
        0.0933234,
        0.0943476,
        0.0920296,
        0.0931404,
        0.0947183,
        0.0936617,
        0.0975602,
        0.0970808,
        0.0970441,
        0.0979693,
        0.100971,
        0.102836,
        0.103035,
        0.103767,
        0.106181,
        0.10696,
        0.108933,
        0.114711,
        0.115676,
        0.113853,
        0.113724,
        0.115619,
        0.120936,
        0.120944,
        0.123979,
        0.127525,
        0.129625,
        0.132329,
        0.134787,
        0.142588,
        0.138985,
        0.138028,
        0.139003,
        0.148769,
        0.157622,
        0.1627,
        0.168373,
        0.190998,
        0.195735,
        0.172566,
        0.179552,
        0.192823,
        0.210404,
        0.21916,
        0.221577,
        null,
        0.231435,
        0.210855,
        0.193657,
        0.190525,
        0.179949,
        0.1716,
        0.165255,
        0.16853,
        0.166372,
        0.147944,
        0.146688,
        0.143265,
        0.138092,
        0.132056,
        0.129097,
        0.122587,
        0.12172,
        0.119433,
        0.116914,
        0.111411,
        0.1107,
        0.112475,
        0.109617,
        0.105058,
        0.102134,
        0.0968574,
        0.0937881,
        0.0915176,
        0.0894396,
        0.0873537,
        0.0845819,
        0.0839235,
        0.0841765,
        0.0851068,
        0.0822588,
        0.0784126,
        0.0780944,
        0.0784151,
        0.0776232,
        0.0741907,
        0.0741368,
        0.0751902,
        0.0736361,
        0.0725776,
        0.0720565,
        0.071185,
        0.0716819,
        0.0686061,
        0.0666449,
        0.065994,
        0.0668975,
        0.0662729,
        0.0658961,
        0.0641942,
        0.0629479,
        0.0622763,
        0.0616274,
        0.0610248,
        0.0602535,
        0.0602281,
        0.0600552,
        0.0591297,
        0.0576108,
        0.056234,
        0.0557949,
        0.0556955,
        0.054417,
        0.0537347,
        0.0539768,
        0.0536898,
        0.0527404,
        0.0524975,
        0.0520403,
        0.0513752,
        0.0500318,
        0.0488801,
        0.0486283,
        0.0486329,
        0.0511819,
        0.0506506,
        0.0479722,
        0.0512428,
        0.0485834,
        0.0459459,
        0.0463176,
        0.0455853,
        0.045475,
        0.0453107,
        0.0453567,
        0.0450106,
        0.0446544,
        0.0450372,
        0.045352,
        0.0450916,
        0.0451777,
        0.0441408,
        0.0444613,
        0.0445587,
        0.0443086,
        0.0434333,
        0.0435617,
        0.0431974,
        0.0431219,
        0.0430987,
        0.0432438,
        0.0435874,
        0.0434691,
        0.0430567,
        0.0426125,
        0.042714,
        0.0434628,
        0.0427213,
        0.0426131,
        0.0420152,
        0.0424852,
        0.0426351,
        0.0429069,
        0.0425684,
        0.0421808,
        0.0420885,
        0.0422357,
        0.0416939,
        0.0419457,
        0.0423975,
        0.0424888,
        0.0422923,
        0.0413203,
        0.040693,
        0.0406498,
        0.0401316,
        0.0402483,
        0.0392425,
        0.0388311,
        0.0387292,
        0.0382648,
        0.0379657,
        0.0379253,
        0.0381462,
        0.0385788,
        0.039161,
        0.0398476,
        0.0404525,
        0.0422509,
        0.0437998,
        0.0454981,
        0.0463214,
        0.0451161,
        0.0432096,
        0.041295,
        0.0396475,
        0.0385244,
        0.0402334,
        0.0385012,
        0.0367983,
        0.0365838,
        0.0367284,
        0.0362061,
        0.0360566,
        0.0362012,
        0.0359426,
        0.0358819,
        0.0368985,
        0.0386607,
        0.0361106,
        0.0353743,
        0.0353067,
        0.0353178,
        0.0353993,
        0.0357926,
        0.0359968,
        0.0357716,
        0.0354484,
        0.0357202,
        0.0376542,
        0.0391421,
        0.0374459,
        0.0378699,
        0.0383184,
        0.0387194,
        0.0388368,
        0.0385002,
        0.0378078,
        0.0368083,
        0.0362683,
        0.0361871,
        0.0361275,
        0.0361036,
        0.0359965,
        0.0357885,
        0.035366,
        0.035205,
        0.03502,
        0.0352891,
        0.0358602,
        0.035422,
        0.0343811,
        0.0338202,
        0.0339357,
        0.0337224,
        0.0335568,
        0.033589,
        0.0330729,
        0.0329311,
        0.0326163,
        0.032438,
        0.0324241,
        0.0325719,
        0.0325128,
        0.0324891,
        0.0323411,
        0.0325933,
        0.0329132,
        0.0356116,
        0.0344138,
        0.0331315,
        0.0339838,
        0.0341752,
        0.0351769,
        0.0362549,
        0.0373559,
        0.0382638,
        0.0390058,
        0.0403879,
        0.0415046,
        0.0421917,
        0.0425137,
        0.041731,
        0.0411185,
        0.0403704,
        0.0387708,
        0.0374424,
        0.0364934,
        0.0358506,
        0.034989,
        0.0341867,
        0.0337986,
        0.0337209,
        0.0336153,
        0.0335757,
        0.0326322,
        0.0324672,
        0.0322968,
        0.0320774,
        0.031731,
        0.0317504,
        0.0319616,
        0.0320598,
        0.0320774,
        0.0319428,
        0.0314656,
        0.031185,
        0.0311935,
        0.0309383,
        0.030751,
        0.0309055,
        0.0306307,
        0.0308693,
        0.0331042,
        0.0314894,
        0.0304395,
        0.0301223,
        0.0296474,
        0.0295968,
        0.0293633,
        0.0294455,
        0.029454,
        0.028998,
        0.0289962,
        0.0289072,
        0.0288794,
        0.0289821,
        0.0290591,
        0.0290244,
        0.0289201,
        0.0288678,
        0.0291376,
        0.030078,
        0.0318462,
        0.0307716,
        0.0304622,
        0.0336942,
        0.0312498,
        0.0309415,
        0.0341377,
        0.0316176,
        0.0303031,
        0.0305884,
        0.030486,
        0.0300986,
        0.0296856,
        0.0294224,
        0.0292356,
        0.0294799,
        0.0294019,
        0.0294079,
        0.0291743,
        0.029344,
        0.0293938,
        0.0294034,
        0.0290156,
        0.0290944,
        0.0292337,
        0.02932,
        0.0291907,
        0.0293874,
        0.029195,
        0.0293214,
        0.0292267,
        0.0288076,
        0.0286057,
        0.0288554,
        0.0287849,
        0.0287422,
        0.0284728,
        0.0286785,
        0.0283838,
        0.0287424,
        0.0285947,
        0.0288037,
        0.0286714,
        0.028657,
        0.028707,
        0.0295442,
        0.0300314,
        0.0299031,
        0.0302535,
        0.0309575,
        0.0325333,
        0.0330337,
        0.033167,
        0.0345389,
        0.0358193,
        0.0367206,
        0.0350517,
        0.0325107,
        0.0310535,
        0.0302399,
        0.0294317,
        0.0290466,
        0.0284893,
        0.0282947,
        0.0281355,
        0.0278171,
        0.0277035,
        0.0282204,
        0.0278539,
        0.027531,
        0.0276103,
        0.0276097,
        0.0279775,
        0.0284553,
        0.028622,
        0.0293542,
        0.0286331,
        0.027866,
        0.0280456,
        0.0285077,
        0.0290595,
        0.0288541,
        0.0280192,
        0.0279303,
        0.0280421,
        0.0300628,
        0.0315173,
        0.0293035,
        0.0278456,
        0.0278572,
        0.0275822,
        0.0278215,
        0.027773,
        0.0274685,
        0.0276661,
        0.0276542,
        0.0274623,
        0.0274265,
        0.0275089,
        0.027462,
        0.0276754,
        0.0275236,
        0.0273601,
        0.027386,
        0.0271097,
        0.0267744,
        0.02683,
        0.0265371,
        0.0265112,
        0.0266155,
        0.0263837,
        0.0263927,
        0.0263605,
        0.0263006,
        0.0264266,
        0.026203,
        0.0263078,
        0.0262208,
        0.0261242,
        0.0262849,
        0.0261906,
        0.0265238,
        0.0272374,
        0.0275052,
        0.0275025,
        0.0279187,
        0.0283503,
        0.0283462,
        0.0288556,
        0.0292383,
        0.0295072,
        0.0296922,
        0.0297694,
        0.0303578,
        0.0304731,
        0.0294907,
        0.0293626,
        0.0296595,
        0.0301325,
        0.0306214,
        0.0315171,
        0.031876,
        0.0324048,
        0.0353498,
        0.0377442,
        0.0337688,
        0.0315619,
        0.0307353,
        0.030245,
        0.029593,
        0.0287524,
        0.029905,
        0.0302861,
        0.0285237,
        0.0274713,
        0.027378,
        0.0289,
        0.0306888,
        0.0280079,
        0.0268065,
        0.02697,
        0.0265872,
        0.0263951,
        0.0264394,
        0.0264101,
        0.0291173,
        0.03033,
        0.0272641,
        0.0258159,
        0.0258034,
        0.0257771,
        0.0258945,
        0.0255428,
        0.0255876,
        0.0257222,
        0.0251749,
        0.0255826,
        0.0263216,
        0.0258026,
        0.0254558,
        0.0253069,
        0.0251334,
        0.0250129,
        0.0248562,
        0.024829,
        0.0250451,
        0.0250304,
        0.0252454,
        0.0251917,
        0.0252016,
        0.0252577,
        0.0268587,
        0.0281139,
        0.0262852,
        0.0250005,
        0.0250016,
        0.0250746,
        0.0268244,
        0.0288524,
        0.0272422,
        0.0260616,
        0.0263103,
        0.0261866,
        0.026198,
        0.0260927,
        0.0262709,
        0.026761,
        0.0268795,
        0.0268057,
        0.0268538,
        0.027137,
        0.0276103,
        0.0276756,
        0.0278356,
        0.0281482,
        0.0280981,
        0.0284327,
        0.0291093,
        0.0297925,
        0.0298704,
        0.0300033,
        0.0302437,
        0.0298698,
        0.0293964,
        0.0288931,
        0.0284045,
        0.028195,
        0.027842,
        0.0277609,
        0.0273811,
        0.0287015,
        0.0303076,
        0.028389,
        0.0268617,
        0.026887,
        0.0268351,
        0.0272442,
        0.0275154,
        0.0281941,
        0.0290495,
        0.0297336,
        0.0306264,
        0.0312304,
        0.032062,
        0.0324166,
        0.0315327,
        0.0303531,
        0.0293115,
        0.0282696,
        0.0273481,
        0.0267446,
        0.0272748,
        0.0267701,
        0.0257278,
        0.025383,
        0.0256566,
        0.0255388,
        0.0254937,
        0.0255623,
        0.0254026,
        0.0253439,
        0.0254973,
        0.0257115,
        0.0254902,
        0.0256095,
        0.0257157,
        0.0256658,
        0.025789,
        0.0257432,
        0.0253595,
        0.0253105,
        0.0255529,
        0.0255533,
        0.0256909,
        0.0258509,
        0.0261756,
        0.0264693,
        0.0262363,
        0.0262567,
        0.026061,
        0.0261058,
        0.0260511,
        0.0261698,
        0.026143,
        0.0261132,
        0.0260336,
        0.0257841,
        0.0257778,
        0.0259231,
        0.0258007,
        0.0259342,
        0.0260687,
        0.0262703,
        0.0262628,
        0.0262332,
        0.025962,
        0.025882,
        0.0257307,
        0.0256442,
        0.0256765,
        0.0256441,
        0.025629,
        0.0254439,
        0.0253349,
        0.0250755,
        0.0251579,
        0.0251266,
        0.0253007,
        0.025355,
        0.025527,
        0.0253854,
        0.0254259,
        0.0255916,
        0.0257409,
        0.025862,
        0.0259567,
        0.0261889,
        0.0263652,
        0.0266215,
        0.0270067,
        0.0273308,
        0.0276282,
        0.0275258,
        0.0276502,
        0.0275143,
        0.0270954,
        0.0266802,
        0.0266445,
        0.0265101,
        0.0264169,
        0.0261625,
        0.0261801,
        0.0260519,
        0.0259906,
        0.0259911,
        0.0262438,
        0.0265072,
        0.0259474,
        0.0257312,
        0.0260754,
        0.0263641,
        0.0264873,
        0.0265915,
        0.0267657,
        0.0268822,
        0.0268678,
        0.0271063,
        0.0270523,
        0.0271136,
        0.0284777,
        0.0292716,
        0.028487,
        0.0286258,
        0.0288344,
        0.0293691,
        0.0297216,
        0.0300295,
        0.0301654,
        0.0301312,
        0.0300873,
        0.0295848,
        0.0292262,
        0.0289793,
        0.0290422,
        0.0291802,
        0.0295244,
        0.0297647,
        0.030706,
        0.0324003,
        0.0337193,
        0.0348108,
        0.0356753,
        0.0362508,
        0.0365294,
        0.0359798,
        0.0347461,
        0.0332315,
        0.0321436,
        0.0307366,
        0.0295167,
        0.0285792,
        0.0280354,
        0.0274537,
        0.0270518,
        0.0267656,
        0.0262682,
        0.0260764,
        0.0263088,
        0.0264548,
        0.0266795,
        0.0266135,
        0.0283801,
        0.0295727,
        0.0274243,
        0.0268865,
        0.0265818,
        0.0263678,
        0.0261511,
        0.0265603,
        0.0269483,
        0.0269227,
        0.0267435,
        0.026706,
        0.0268741,
        0.026833,
        0.0269436,
        0.0268338,
        0.0267719,
        0.0267742,
        0.0269482,
        0.0270327,
        0.0269919,
        0.0270832,
        0.0272483,
        0.0272704,
        0.0272511,
        0.0277036,
        0.0279112,
        0.0276444,
        0.0276979,
        0.0278182,
        0.027554,
        0.0275724,
        0.0275994,
        0.0272877,
        0.0274587,
        0.0276129,
        0.0278877,
        0.0284716,
        0.0289806,
        0.0287471,
        0.0290202,
        0.0294224,
        0.030104,
        0.0308562,
        0.0318528,
        0.0326504,
        0.0330017,
        0.032396,
        0.0314768,
        0.0305109,
        0.029744,
        0.0293247,
        0.0290603,
        0.0314439,
        0.0327701,
        0.0296165,
        0.0300815,
        0.0309067,
        0.0286658,
        0.0274944,
        0.0276172,
        0.0280104,
        0.0280822,
        0.0283129,
        0.0285532,
        0.0284839,
        0.0286211,
        0.0287732,
        0.0289327,
        0.0291967,
        0.0294421,
        0.029526,
        0.0294648,
        0.029567,
        0.0302403,
        0.0297147,
        0.0295469,
        0.0298836,
        0.0302238,
        0.0306931,
        0.0315086,
        0.0325931,
        0.0316319,
        0.0307058,
        0.0331716,
        0.0359423,
        0.0334616,
        0.0312866,
        0.0314505,
        0.0315344,
        0.0317445,
        0.0323196,
        0.0324006,
        0.0323855,
        0.0326429,
        0.0328926,
        0.0329881,
        0.0331104,
        0.0331771,
        0.0329571,
        0.032821,
        0.0329051,
        0.0334516,
        0.033783,
        0.0340535,
        0.0340926,
        0.0344116,
        0.0345052,
        0.0350516,
        0.0351797,
        0.0348789,
        0.0347497,
        0.0350255,
        0.0356289,
        0.0361488,
        0.0362799,
        0.0365339,
        0.0375526,
        0.0387177,
        0.0391067,
        0.038678,
        0.0387993,
        0.0393707,
        0.0397382,
        0.040418,
        0.0413364,
        0.0417545,
        0.0424273,
        0.0428918,
        0.0439625,
        0.0451421,
        0.0455656,
        0.0472143,
        0.0487144,
        0.0506808,
        0.0517571,
        0.0519354,
        0.0534007,
        0.0551085,
        0.05696,
        0.0587685,
        0.06104,
        0.0636888,
        0.0654156,
        0.0698485,
        0.0755008,
        0.0784201,
        0.0789733,
        0.0843002,
        0.0883464,
        0.093046,
        0.0982042,
        0.104931,
        0.114926,
        0.122378,
        0.13865,
        0.147376,
        0.16257,
        0.189323,
        0.242461,
        0.219747,
        0.199215,
        0.172285,
        0.144044,
        0.131107,
        0.120677,
        0.115249,
        0.106265,
        0.097898,
        0.0941635,
        0.0922221,
        0.0877913,
        0.0821829,
        0.0781719,
        0.0744553,
        0.0724408,
        0.0707714,
        0.0699697,
        0.0678277,
        0.0646349,
        0.0656117,
        0.0636401,
        0.060072,
        0.0591494,
        0.0575038,
        0.0561766,
        0.0550916,
        0.0551492,
        0.0545191,
        0.0529992,
        0.0516501,
        0.0507401,
        0.0497556,
        0.0495737,
        0.0491391,
        0.0485129,
        0.0478987,
        0.0476517,
        0.0477717,
        0.047406,
        0.0473203,
        0.0481647,
        0.0472777,
        0.0452773,
        0.0453432,
        0.0462161,
        0.0475054,
        0.0471573,
        0.0467381,
        0.0468124,
        0.0475632,
        0.0473461,
        0.0463066,
        0.0455114,
        0.0440529,
        0.0424508,
        0.0418621,
        0.0417995,
        0.0413281,
        0.0407627,
        0.0404403,
        0.040218,
        0.0394645,
        0.0397845,
        0.0392804,
        0.0393714,
        0.0398314,
        0.0394713,
        0.0395004,
        0.039344,
        0.0390764,
        0.0391157,
        0.0393332,
        0.0395962,
        0.0401494,
        0.0398833,
        0.0395892,
        0.0394404,
        0.0401432,
        0.0405782,
        0.0404571,
        0.0405442,
        0.0402382,
        0.0401815,
        0.0400823,
        0.0400704,
        0.0399346,
        0.0401275,
        0.0402086,
        0.0399546,
        0.0400535,
        0.0408041,
        0.0408982,
        0.0412723,
        0.0416096,
        0.0408262,
        0.0408342,
        0.0407288,
        0.0412203,
        0.0407409,
        0.0412862,
        0.0411091,
        0.0426032,
        0.0437209,
        0.0422456,
        0.0414838,
        0.0420235,
        0.0417813,
        0.0421477,
        0.0419122,
        0.0418824,
        0.0423863,
        0.0431872,
        0.0425605,
        0.0423438,
        0.0429526,
        0.04329,
        0.0435908,
        0.0436864,
        0.0435447,
        0.0442365,
        0.0440331,
        0.0442783,
        0.0453314,
        0.0454147,
        0.0462331,
        0.0472125,
        0.0477569,
        0.048024,
        0.0490928,
        0.050267,
        0.0512365,
        0.0530097,
        0.0537918,
        0.0559798,
        0.0578725,
        0.0602896,
        0.0632766,
        0.0664098,
        0.0702851,
        0.0744357,
        0.0762818,
        0.0749738,
        0.0766325,
        0.0788525,
        0.0761677,
        0.0763107,
        0.0839241,
        0.0848856,
        0.0762415,
        0.0793778,
        0.0781025,
        0.0795001,
        0.0836218,
        0.0865726,
        0.0888832,
        0.0910769,
        0.0953073,
        0.101061,
        0.102261,
        0.105405,
        0.114661,
        0.119872,
        0.124945,
        0.133837,
        0.149937,
        0.163845,
        0.171145,
        0.189698,
        0.202233,
        0.229858,
        0.262429,
        0.227293,
        0.209292,
        0.188269,
        0.178154,
        0.159871,
        0.143945,
        0.144019,
        0.135208,
        0.124894,
        0.114831,
        0.106816,
        0.102847,
        0.10028,
        0.095456,
        0.0885999,
        0.0854249,
        0.0832063,
        0.0815006,
        0.0779195,
        0.0750436,
        0.0723592,
        0.0717871,
        0.0702605,
        0.0692268,
        0.0669513,
        0.0651491,
        0.063262,
        0.0609409,
        0.0593274,
        0.0621789,
        0.0608285,
        0.0578921,
        0.0558613,
        0.0549209,
        0.0538137,
        0.0531209,
        0.0524561,
        0.0521306,
        0.0522165,
        0.0517747,
        0.051756,
        0.0515939,
        0.0514018,
        0.0513042,
        0.0500854,
        0.0490788,
        0.0479396,
        0.0471492,
        0.0455899,
        0.0451308,
        0.0447509,
        0.0448826,
        0.0443244,
        0.0430939,
        0.0421009,
        0.0418904,
        0.0410834,
        0.0411041,
        0.0410456,
        0.0411883,
        0.0406731,
        0.0405746,
        0.0418105,
        0.0417281,
        0.0404772,
        0.0400824,
        0.0404351,
        0.0444682,
        0.0450692,
        0.0408016,
        0.0404074,
        0.040184,
        0.0411375,
        0.0408788,
        0.0405046,
        0.0402511,
        0.0396551,
        0.0398071,
        0.0428561,
        0.0433177,
        0.0394746,
        0.0394196,
        0.0389663,
        0.0395411,
        0.039467,
        0.0389073,
        0.0388376,
        0.0382164,
        0.0426953,
        0.0428047,
        0.0396645,
        0.0449188,
        0.0433661,
        0.0386506,
        0.0381491,
        0.0386471,
        0.0383677,
        0.0416633,
        0.041273,
        0.04094,
        0.0436411,
        0.041601,
        0.0379156,
        0.0373337,
        0.0374149,
        0.0381826,
        0.0379318,
        0.0375008,
        0.0376224,
        0.0373332,
        0.03792,
        0.0382243,
        0.0373695,
        0.0361759,
        0.0356539,
        0.0358772,
        0.0354611,
        0.0355095,
        0.0350789,
        0.0353162,
        0.0345705,
        0.0343283,
        0.0340251,
        0.0344554,
        0.0355343,
        0.0368521,
        0.0349447,
        0.0344677,
        0.0357129,
        0.0388633,
        0.0363703,
        0.0338259,
        0.0332948,
        0.033507,
        0.0335334,
        0.0338281,
        0.0333663,
        0.0328244,
        0.0331773,
        0.0330098,
        0.0330325,
        0.0329655,
        0.0334047,
        0.0332739,
        0.033146,
        0.0333539,
        0.0332648,
        0.0337231,
        0.0331618,
        0.0329861,
        0.0330701,
        0.0331708,
        0.0333933,
        0.0333751,
        0.0335289,
        0.033627,
        0.0331725,
        0.0330305,
        0.0325202,
        0.0328231,
        0.0330499,
        0.0334467,
        0.0332425,
        0.0334538,
        0.0332971,
        0.0328465,
        0.0330006,
        0.0342863,
        0.0365509,
        0.0365922,
        0.0339898,
        0.0324998,
        0.0322174,
        0.0316155,
        0.0318308,
        0.0318979,
        0.0316097,
        0.0316097,
        0.032136,
        0.0318564,
        0.0315027,
        0.0309836,
        0.0312144,
        0.031719,
        0.0320266,
        0.0322584,
        0.0317464,
        0.0313847,
        0.0309717,
        0.0309909,
        0.0308604,
        0.0310281,
        0.031238,
        0.0311982,
        0.0311985,
        0.0312528,
        0.0314353,
        0.0315249,
        0.0311207,
        0.0314462,
        0.032753,
        0.0335365,
        0.0326143,
        0.0320159,
        0.0320788,
        0.0321142,
        0.0322812,
        0.0325206,
        0.0329428,
        0.0330832,
        0.0340237,
        0.0341292,
        0.0344356,
        0.0345239,
        0.0346356,
        0.0346311,
        0.0349178,
        0.0353454,
        0.0359628,
        0.036404,
        0.0370341,
        0.0366657,
        0.037521,
        0.0389222,
        0.0395319,
        0.038815,
        0.0385436,
        0.0388164,
        0.0391876,
        0.0398053,
        0.0399249,
        0.0408221,
        0.0423776,
        0.0441534,
        0.0448496,
        0.0470661,
        0.0496989,
        0.0535178,
        0.0579547,
        0.063388,
        0.0684482,
        0.0764601,
        0.0855902,
        0.0988746,
        0.113492,
        0.118895,
        0.11679,
        0.115252,
        0.110451,
        0.0980457,
        0.0913366,
        0.0895962,
        0.0831977,
        0.073388,
        0.0638894,
        0.0578486,
        0.0538967,
        0.0510547,
        0.0478468,
        0.0452275,
        0.0434601,
        0.0421112,
        0.0402967,
        0.0397705,
        0.039586,
        0.0392194,
        0.0378444,
        0.0380049,
        0.0373492,
        0.0361972,
        0.035824,
        0.0351174,
        0.0346723,
        0.0344278,
        0.0343277,
        0.0337094,
        0.0334918,
        0.0332092,
        0.0329289,
        0.0328053,
        0.0332801,
        0.0333895,
        0.0332052,
        0.0328429,
        0.0329198,
        0.0326016,
        0.0327824,
        0.0327047,
        0.0339001,
        0.0330367,
        0.0330278,
        0.0327535,
        0.0326035,
        0.0328419,
        0.0333292,
        0.0331117,
        0.0339701,
        0.0333584,
        0.0330128,
        0.0328286,
        0.0322927,
        0.0323219,
        0.0323027,
        0.032454,
        0.0327916,
        0.0328043,
        0.0325558,
        0.0324241,
        0.0323039,
        0.0327703,
        0.0329405,
        0.0329826,
        0.0329964,
        0.0329202,
        0.0324961,
        0.0321596,
        0.0322994,
        0.0325999,
        0.0325595,
        0.0328834,
        0.0329339,
        0.0329699,
        0.0328317,
        0.0326703,
        0.0327411,
        0.0328156,
        0.0330962,
        0.0328809,
        0.0330065,
        0.0329707,
        0.0329486,
        0.0329451,
        0.0337247,
        0.0340145,
        0.0341632,
        0.0348057,
        0.0349807,
        0.0351714,
        0.0355817,
        0.0373847,
        0.0381788,
        0.0380481,
        0.0389453,
        0.0372595,
        0.0369086,
        0.0372745,
        0.0368728,
        0.0371257,
        0.038613,
        0.0388632,
        0.0381184,
        0.0388199,
        0.0379999,
        0.0368924,
        0.0375434,
        0.0375844,
        0.037884,
        0.0378674,
        0.038999,
        0.038438,
        0.0363138,
        0.0362297,
        0.0365133,
        0.0374779,
        0.0371872,
        0.0361353,
        0.0381711,
        0.0375458,
        0.0374408,
        0.0376257,
        0.0373992,
        0.0368537,
        0.036031,
        0.0357962,
        0.0356726,
        0.0351785,
        0.0351542,
        0.0350951,
        0.0356284,
        0.0350514,
        0.0345388,
        0.0344075,
        0.03442,
        0.0346639,
        0.0346963,
        0.0349793,
        0.0357858,
        0.0346366,
        0.0345678,
        0.0340963,
        0.0335408,
        0.0336465,
        0.0343049,
        0.0339562,
        0.0338255,
        0.0333867,
        0.0331512,
        0.0328572,
        0.0330975,
        0.0331408,
        0.0333003,
        0.033208,
        0.0332446,
        0.0331955,
        0.0334604,
        0.0340111,
        0.0341635,
        0.0339254,
        0.0343396,
        0.0341042,
        0.0338846,
        0.0343932,
        0.0349389,
        0.0349111,
        0.0349815,
        0.03498,
        0.0355005,
        0.0353644,
        0.0353454,
        0.0356185,
        0.0367306,
        0.0367647,
        0.0369825,
        0.0369188,
        0.0371106,
        0.0380558,
        0.0384167,
        0.0387696,
        0.0399046,
        0.0411583,
        0.0413146,
        0.0414621,
        0.0414665,
        0.0421079,
        0.0430692,
        0.0435719,
        0.0433424,
        0.0433787,
        0.043298,
        0.0433736,
        0.0423434,
        0.0423023,
        0.0422532,
        0.0418046,
        0.0410577,
        0.0413972,
        0.0409206,
        0.04028,
        0.0404798,
        0.0409636,
        0.0406154,
        0.0403574,
        0.0406368,
        0.0404033,
        0.040576,
        0.0404861,
        0.0403066,
        0.039496,
        0.0382555,
        0.0379279,
        0.0377937,
        0.0379538,
        0.0368272,
        0.036388,
        0.0384164,
        0.0379227,
        0.0358829,
        0.0357069,
        0.0352086,
        0.0352648,
        0.0352542,
        0.035236,
        0.0351695,
        0.0348279,
        0.0348727,
        0.03514,
        0.0349552,
        0.0348752,
        0.0350368,
        0.0358449,
        null,
        0.0312218,
        0.0311015,
        0.0313392,
        0.0316145,
        0.0318343,
        0.0320019,
        0.0318041,
        0.0316338,
        0.0315632,
        0.0314749,
        0.0317797,
        0.031884,
        0.0321469,
        0.0327488,
        0.033089,
        0.0335396,
        0.0340609,
        0.034978,
        0.0359115,
        0.0374627,
        0.0387238,
        0.0388994,
        0.0392167,
        0.0393041,
        0.0387807,
        0.0379356,
        0.037431,
        0.0376378,
        0.0381932,
        0.0394486,
        0.0418862,
        0.0446079,
        0.0471298,
        0.0489258,
        0.0500352,
        0.0494716,
        0.0467947,
        0.0437028,
        0.0412318,
        0.039295,
        0.0377013,
        0.0364184,
        0.0356142,
        0.0349728,
        0.0346157,
        0.0343047,
        0.0339026,
        0.0332807,
        0.0331001,
        0.0330754,
        0.0330544,
        0.0328089,
        0.0328017,
        0.0329707,
        0.0331266,
        0.0331268,
        0.0327157,
        0.0328415,
        0.0328175,
        0.0327371,
        0.0327668,
        0.0324933,
        0.0326869,
        0.0326982,
        0.0330443,
        0.0336228,
        0.0340488,
        0.033552,
        0.0339176,
        0.0338883,
        0.034219,
        0.034228,
        0.0344306,
        0.0347268,
        0.0348492,
        0.0347286,
        0.0347398,
        0.0350277,
        0.0353014,
        0.0354643,
        0.03588,
        0.0356757,
        0.0363209,
        0.036424,
        0.0362854,
        0.0365325,
        0.0362904,
        0.0365872,
        0.0365098,
        0.0364686,
        0.0364029,
        0.0364979,
        0.0366235,
        0.0367113,
        0.036851,
        0.0369285,
        0.0369126,
        0.0367778,
        0.0370749,
        0.0371412,
        0.0368855,
        0.0370685,
        0.0369539,
        0.0373696,
        0.037705,
        0.0374303,
        0.0376174,
        0.037628,
        0.0373586,
        0.0378827,
        0.0379178,
        0.03807,
        0.0384417,
        0.0380943,
        0.0384513,
        0.0386644,
        0.0383867,
        0.038207,
        0.038513,
        0.0390598,
        0.0397007,
        0.0401311,
        0.0404324,
        0.0414375,
        0.0416353,
        0.0419515,
        0.0433017,
        0.044043,
        0.044469,
        0.0460606,
        0.0480046,
        0.0498392,
        0.0516581,
        0.0542727,
        0.0570268,
        0.0605806,
        0.0649462,
        0.0697801,
        0.075317,
        0.0824071,
        0.0861915,
        0.0853311,
        0.0828973,
        0.0805725,
        0.0748672,
        0.0700185,
        0.0671159,
        0.0707254,
        0.0690648,
        0.0591553,
        0.0545509,
        0.0530196,
        0.0514688,
        0.0504057,
        0.0501559,
        0.0496056,
        0.0492134,
        0.0487366,
        0.0484254,
        0.0480822,
        0.0480216,
        0.0482606,
        0.0484201,
        0.0485194,
        0.0481539,
        0.0480466,
        0.0487048,
        0.0490343,
        0.0488061,
        0.0482907,
        0.0490271,
        0.0494275,
        0.0498704,
        0.0506364,
        0.0505776,
        0.0505189,
        0.0505493,
        0.0504861,
        0.0514092,
        0.0526203,
        0.052592,
        0.0529157,
        0.0542924,
        0.0553333,
        0.0573634,
        0.0576853,
        0.0572265,
        0.0573706,
        0.0585774,
        0.0596711,
        0.059983,
        0.0604371,
        0.0627125,
        0.0624064,
        0.0626704,
        0.0640502,
        0.0668486,
        0.0680922,
        0.0679309,
        0.0698105,
        0.0701905,
        0.0721485,
        0.0737734,
        0.0754573,
        0.076848,
        0.0799637,
        0.0799407,
        0.0822499,
        0.0869373,
        0.0913093,
        0.0923862,
        0.096703,
        0.099451,
        0.102236,
        0.106292,
        0.107332,
        0.108786,
        0.115605,
        0.122999,
        0.129918,
        0.135829,
        0.133757,
        0.143318,
        0.156801,
        0.167041,
        0.178109,
        0.185884,
        0.193845,
        0.217711,
        0.232247,
        0.250881,
        0.252842,
        0.234246,
        0.204975,
        0.18746,
        0.171813,
        0.163854,
        0.155978,
        0.147764,
        0.135466,
        0.128086,
        0.123539,
        0.119551,
        0.112456,
        0.10422,
        0.103444,
        0.100139,
        0.0992243,
        0.0932533,
        0.0899711,
        0.0867047,
        0.0853472,
        0.081942,
        0.0805671,
        0.0868843,
        0.0841608,
        0.0746185,
        0.07166,
        0.0709413,
        0.0690269,
        0.0680911,
        0.0674425,
        0.0697047,
        0.0690642,
        0.0644879,
        0.0620479,
        0.0606036,
        0.0582198,
        0.0577124,
        0.0588084,
        0.0586585,
        0.0576115,
        0.056902,
        0.056196,
        0.0557136,
        0.0578933,
        0.0553856,
        0.0532281,
        0.0526753,
        0.052644,
        0.0521615,
        0.0511735,
        0.0504876,
        0.0500262,
        0.0497933,
        0.0487774,
        0.048111,
        0.0482707,
        0.0477901,
        0.0460352,
        0.0464094,
        0.0456019,
        0.0449301,
        0.0443906,
        0.0437864,
        0.0466414,
        0.0464466,
        0.0446611,
        0.0428178,
        0.041867,
        0.041642,
        0.0412079,
        0.0406233,
        0.0402542,
        0.0405105,
        0.0401284,
        0.0399159,
        0.0390522,
        0.0391605,
        0.0386997,
        0.0381218,
        0.0383849,
        0.0383407,
        0.0385242,
        0.0385428,
        0.0379321,
        0.0382233,
        0.037345,
        0.036635,
        0.0366574,
        0.0373975,
        0.0370876,
        0.0367406,
        0.0371612,
        0.0372294,
        0.0371036,
        0.0371327,
        0.0368729,
        0.0392306,
        0.0394639,
        0.0365088,
        0.0366556,
        0.0366836,
        0.0366554,
        0.0368639,
        0.0365694,
        0.0366013,
        0.0364592,
        0.0362385,
        0.0364501,
        0.0364275,
        0.0366039,
        0.0364481,
        0.0366728,
        0.0361101,
        0.0362725,
        0.0355926,
        0.0354165,
        0.0350921,
        0.0352273,
        0.0351764,
        0.0346954,
        0.0346721,
        0.0342371,
        0.0341696,
        0.0344782,
        0.0339846,
        0.0336191,
        0.0332077,
        0.0336576,
        0.0332518,
        0.0329916,
        0.0328242,
        0.0333307,
        0.0329848,
        0.0324635,
        0.0326864,
        0.0341024,
        0.0340918,
        0.0325185,
        0.0328021,
        0.0326173,
        0.0327641,
        0.0327381,
        0.0323585,
        0.0335519,
        0.0342878,
        0.0370727,
        0.036479,
        0.03186,
        0.0322308,
        0.0325877,
        0.0325791,
        0.0324165,
        0.0325785,
        0.0327152,
        0.0330816,
        0.0332932,
        0.0330728,
        0.0329369,
        0.0326586,
        0.0326717,
        0.032747,
        0.0331775,
        0.0330322,
        0.0331005,
        0.0331731,
        0.0332808,
        0.0332027,
        0.033205,
        0.0333775,
        0.037395,
        0.0367925,
        0.0333013,
        0.0334104,
        0.03301,
        0.033036,
        0.0330721,
        0.0329484,
        0.032614,
        0.0325861,
        0.0329075,
        0.0328331,
        0.0329334,
        0.0335325,
        0.0330118,
        0.0317377,
        0.0316983,
        0.0316646,
        0.0317656,
        0.0319523,
        0.0319748,
        0.0315752,
        0.0313737,
        0.0313665,
        0.03129,
        0.0313514,
        0.0310268,
        0.0310722,
        0.0311078,
        0.0308312,
        0.0310679,
        0.0307502,
        0.0311654,
        0.0310919,
        0.0307139,
        0.030977,
        0.0309701,
        0.0309887,
        0.0311944,
        0.0313391,
        0.0312549,
        0.0314956,
        0.0320253,
        0.0326766,
        0.0330866,
        0.0328713,
        0.0328496,
        0.0325162,
        0.0322561,
        0.0323988,
        0.0335367,
        0.0337778,
        0.0316661,
        0.0317859,
        0.0320732,
        0.031471,
        0.03215,
        0.0350616,
        0.0347635,
        0.0317085,
        0.0318114,
        0.0319938,
        0.0320749,
        0.032155,
        0.0322292,
        0.0322075,
        0.0319282,
        0.0321852,
        0.0324276,
        0.0324941,
        0.0325617,
        0.033131,
        0.0328179,
        0.0325235,
        0.0328357,
        0.0329257,
        0.0332313,
        0.0337751,
        0.0339054,
        0.0344032,
        0.0343596,
        0.0342045,
        0.0342509,
        0.033423,
        0.0327811,
        0.0323017,
        0.0320046,
        0.031746,
        0.0316677,
        0.0314052,
        0.0312953,
        0.0309545,
        0.0306573,
        0.030613,
        0.0308962,
        0.0304325,
        0.0306328,
        0.0308109,
        0.0311139,
        0.0304464,
        0.0304615,
        0.0305063,
        0.031059,
        0.0308803,
        0.030747,
        0.0308024,
        0.0313604,
        0.0310088,
        0.0310553,
        0.0316455,
        0.0317014,
        0.0320953,
        0.0323298,
        0.0326041,
        0.0329016,
        0.0329955,
        0.0327776,
        0.0327006,
        0.0329433,
        0.0333484,
        0.0354379,
        0.0352207,
        0.0336473,
        0.0335814,
        0.0341581,
        0.0342732,
        0.0348887,
        0.0346572,
        0.033955,
        0.0343067,
        0.034124,
        0.0340957,
        0.0339478,
        0.0337702,
        0.0338207,
        0.0338778,
        0.033958,
        0.0346989,
        0.0344725,
        0.0338288,
        0.0343722,
        0.0342291,
        0.0346191,
        0.0346303,
        0.0347188,
        0.0343947,
        0.0342928,
        0.0347976,
        0.0340781,
        0.0340651,
        0.0342887,
        0.0336993,
        0.0338625,
        0.0334029,
        0.0336422,
        0.0350397,
        0.0351109,
        0.0333577,
        0.0332001,
        0.0334098,
        0.0331629,
        0.0332098,
        0.033419,
        0.0337901,
        0.0335761,
        0.033449,
        0.0333523,
        0.0338601,
        0.0341954,
        0.0339884,
        0.0342071,
        0.034162,
        0.0348109,
        0.0350777,
        0.0345979,
        0.0345313,
        0.0351245,
        0.0354268,
        0.035764,
        0.0357014,
        0.0351603,
        0.0352581,
        0.0356387,
        0.0360839,
        0.0362067,
        0.0364545,
        0.0367576,
        0.0369003,
        0.0372983,
        0.0375041,
        0.0376701,
        0.037803,
        0.0379618,
        0.0380111,
        0.0386535,
        0.0390861,
        0.0384296,
        0.0380829,
        0.0377182,
        0.0379363,
        0.0378074,
        0.0374845,
        0.0368284,
        0.0363353,
        0.0365383,
        0.0362835,
        0.0362183,
        0.0358973,
        0.0357772,
        0.035875,
        0.035843,
        0.0359243,
        0.0383777,
        0.0376984,
        0.0358218,
        0.0357495,
        0.0356711,
        0.0359195,
        0.0370042,
        0.0368118,
        0.0362243,
        0.0358905,
        0.0363372,
        0.0368511,
        0.0371277,
        0.0369805,
        0.037035,
        0.0379415,
        0.0408739,
        0.0405751,
        0.0385245,
        0.038652,
        0.0384236,
        0.0387019,
        0.0387003,
        0.0386484,
        0.0383267,
        0.0381386,
        0.0382399,
        0.0382274,
        0.0393737,
        0.0390212,
        0.0392435,
        0.0445238,
        0.0430574,
        0.0389069,
        0.0388219,
        0.0392501,
        0.0390132,
        0.0391523,
        0.0392025,
        0.0390861,
        0.0387717,
        0.0393843,
        0.039653,
        0.0391235,
        0.0399042,
        0.0401463,
        0.0404859,
        0.0401943,
        0.040253,
        0.0401017,
        0.0401155,
        0.0402396,
        0.0406143,
        0.0426683,
        0.0421667,
        0.0402967,
        0.0401193,
        0.0403687,
        0.0399681,
        0.0402953,
        0.0410618,
        0.0410339,
        0.0410156,
        0.0413779,
        0.0430062,
        0.0418477,
        0.0413835,
        0.0416491,
        0.0414872,
        0.0415955,
        0.0415477,
        0.0410668,
        0.040885,
        0.0409541,
        0.0414047,
        0.0415034,
        0.0413022,
        0.0407936,
        0.0410285,
        0.0414252,
        0.0422388,
        0.0422081,
        0.042369,
        0.0426184,
        0.0427903,
        0.0428752,
        0.0438619,
        0.0469827,
        0.0461195,
        0.0429874,
        0.0431098,
        0.0435307,
        0.0442401,
        0.0449473,
        0.0449186,
        0.0447879,
        0.0444204,
        0.0447282,
        0.0450039,
        0.0447052,
        0.0452917,
        0.0459625,
        0.0458047,
        0.0478844,
        0.0495613,
        0.0474429,
        0.0481157,
        0.0481815,
        0.0474103,
        0.0468192,
        0.0473374,
        0.0471364,
        0.0474697,
        0.0474689,
        0.0469897,
        0.0474835,
        0.0477323,
        0.0478129,
        0.0473084,
        0.0478704,
        0.048042,
        0.0477959,
        0.0475895,
        0.0475676,
        0.0486249,
        0.0483792,
        0.0478857,
        0.0476377,
        0.0484137,
        0.0485504,
        0.0485317,
        0.0485526,
        0.049011,
        0.0493518,
        0.0490475,
        0.0491115,
        0.0493472,
        0.0492082,
        0.049906,
        0.0501807,
        0.0505441,
        0.0508,
        0.0508885,
        0.0522851,
        0.0528173,
        0.0530884,
        0.0524265,
        0.0525717,
        0.0525189,
        0.0523193,
        0.0526176,
        0.053231,
        0.0536373,
        0.055771,
        0.0584676,
        0.058701,
        0.0563913,
        0.0571782,
        0.0569463,
        0.0561351,
        0.0582257,
        0.0585854,
        0.0579202,
        0.0591837,
        0.059475,
        0.0603993,
        0.0609915,
        0.0602408,
        0.0612288,
        0.0607565,
        0.0617425,
        0.0618537,
        0.0635449,
        0.0633559,
        0.0639324,
        0.0647785,
        0.0653391,
        0.0668005,
        0.0672482,
        0.0663788,
        0.0680228,
        0.0689678,
        0.0689656,
        0.0680607,
        0.0677525,
        0.0675608,
        0.0689867,
        0.0692971,
        0.0713914,
        0.0718687,
        0.0730188,
        0.0753887,
        0.0772664,
        0.0760657,
        0.0763201,
        0.077542,
        0.0784182,
        0.0771845,
        0.079033,
        0.0815194,
        0.0835269,
        0.0884476,
        0.0885264,
        0.0849214,
        0.0847104,
        0.0857465,
        0.0885673,
        0.0919514,
        0.0960108,
        0.0993595,
        0.103822,
        0.102756,
        0.104304,
        0.106732,
        0.107623,
        0.111646,
        0.113577,
        0.119422,
        0.123338,
        0.127494,
        0.129399,
        0.129578,
        0.138079,
        0.150091,
        0.15472,
        0.158575,
        0.164526,
        0.169096,
        0.185343,
        0.188117,
        null,
        0.234615,
        0.234018,
        0.216223,
        0.217846,
        0.216403,
        0.197262,
        0.191949,
        0.198083,
        0.186078,
        0.191681,
        0.18721,
        0.175723,
        0.169527,
        0.163106,
        0.163685,
        0.158902,
        0.15686,
        0.154395,
        0.151601,
        0.151465,
        0.150072,
        0.144896,
        0.146623,
        0.141174,
        0.141225,
        0.14049,
        0.143131,
        0.14464,
        0.154526,
        0.150598,
        0.130159,
        0.133349,
        0.127593,
        0.126332,
        0.128238,
        0.125368,
        0.123208,
        0.122062,
        0.122377,
        0.119909,
        0.116794,
        0.116919,
        0.11774,
        0.119166,
        0.115852,
        0.112357,
        0.112001,
        0.109923,
        0.109981,
        0.109204,
        0.106195,
        0.104169,
        0.109423,
        0.107462,
        0.100344,
        0.100596,
        0.100603,
        0.101096,
        0.0983567,
        0.0954608,
        0.0945544,
        0.0946037,
        0.0924528,
        0.0925493,
        0.0917584,
        0.0916213,
        0.0883962,
        0.0871574,
        0.0925763,
        0.0924635,
        0.0890249,
        0.0864456,
        0.0846827,
        0.0835771,
        0.0846777,
        0.0837343,
        0.0833231,
        0.083998,
        0.0812453,
        0.0805526,
        0.081197,
        0.0791053,
        0.0786183,
        0.079035,
        0.0786951,
        0.0774503,
        0.0783285,
        0.079377,
        0.076961,
        0.0755425,
        0.076932,
        0.0746982,
        0.0749804,
        0.0766922,
        0.076934,
        0.0773885,
        0.0767679,
        0.0757319,
        0.0748394,
        0.0749397,
        0.0739096,
        0.0745774,
        0.0729104,
        0.0740922,
        0.0741052,
        0.0739026,
        0.0756242,
        0.0808704,
        0.07804,
        0.0752131,
        0.074974,
        0.0743106,
        0.0738199,
        0.0751924,
        0.0734589,
        0.0732208,
        0.0735372,
        0.0726395,
        0.0728586,
        0.0732728,
        0.071536,
        0.0717463,
        0.0732948,
        0.0715856,
        0.0714956,
        0.0714499,
        0.0725593,
        0.0727876,
        0.0715803,
        0.0717732,
        0.0718312,
        0.0718152,
        0.0722127,
        0.0713684,
        0.0721381,
        0.0701463,
        0.0693977,
        0.0701291,
        0.0687046,
        0.0682358,
        0.0683994,
        0.069375,
        0.0691798,
        0.0684271,
        0.0721156,
        0.0785967,
        0.0750399,
        0.0713728,
        0.0720775,
        0.0733311,
        0.0737757,
        0.0730209,
        0.0744976,
        0.0738129,
        0.0761889,
        0.078995,
        0.078399,
        0.0754443,
        0.0756187,
        0.0760253,
        0.0819547,
        0.0780667,
        0.0722172,
        0.0733083,
        0.0718024,
        0.0711274,
        0.0701368,
        0.0706371,
        0.0701784,
        0.0691134,
        0.0695238,
        0.0721456,
        0.0707279,
        0.0697713,
        0.0694801,
        0.0743008,
        0.0741889,
        0.0702552,
        0.0719103,
        0.0705329,
        0.0717283,
        0.0713861,
        0.0722455,
        0.0791256,
        0.0766282,
        0.0706702,
        0.0711831,
        0.0730569,
        0.0717397,
        0.0717496,
        0.0724854,
        0.0747169,
        0.0740343,
        0.0765116,
        0.0798234,
        0.0791421,
        0.0743219,
        0.0733019,
        0.0739377,
        0.0750371,
        0.0737109,
        0.0726236,
        0.0718742,
        0.0739278,
        0.0748939,
        0.0759732,
        0.0763693,
        0.0791035,
        0.0851556,
        0.0810837,
        0.0756812,
        0.0747364,
        0.0750744,
        0.075033,
        0.0764475,
        0.0768057,
        0.0766154,
        0.0772961,
        0.0770089,
        0.0775294,
        0.0772429,
        0.0815338,
        0.0837916,
        0.0839786,
        0.0815795,
        0.0799853,
        0.0817145,
        0.0836155,
        0.0838278,
        0.0837247,
        0.084041,
        0.0845552,
        0.0851994,
        0.0879734,
        0.08753,
        0.0907419,
        0.091498,
        0.0907023,
        0.0919264,
        0.0959639,
        0.0970695,
        0.0940643,
        0.0952412,
        0.0969596,
        0.0975479,
        0.100939,
        0.103209,
        0.112426,
        0.112748,
        0.10995,
        0.108152,
        0.107495,
        0.115897,
        0.120563,
        0.112779,
        0.109535,
        0.111922,
        0.118077,
        0.121067,
        0.123651,
        0.123488,
        0.117068,
        0.120431,
        0.126428,
        0.12902,
        0.126397,
        0.124796,
        0.130903,
        0.134759,
        0.134929,
        0.136131,
        0.141862,
        0.142552,
        0.165143,
        0.16098,
        0.144885,
        0.152569,
        0.155797,
        0.158255,
        0.166983,
        0.169111,
        0.171913,
        0.173701,
        0.18418,
        0.187352,
        0.194309,
        0.198843,
        0.205755,
        0.216818,
        0.223281,
        0.230414,
        0.237214,
        0.266981,
        null,
        0.297083,
        0.300375,
        0.233689,
        0.218795,
        0.223022,
        0.216695,
        0.206181,
        0.19846,
        0.195705,
        0.182479,
        0.18742,
        0.176492,
        0.16516,
        0.159211,
        0.159139,
        0.163157,
        0.162595,
        0.15346,
        0.144774,
        0.146017,
        0.160951,
        0.163793,
        0.141936,
        0.142381,
        0.136542,
        0.132169,
        0.129674,
        0.12783,
        0.127221,
        0.12617,
        0.120842,
        0.123626,
        0.136622,
        0.13636,
        0.113755,
        0.113118,
        0.119856,
        0.11433,
        0.109146,
        0.111234,
        0.109541,
        0.113339,
        0.110034,
        0.106768,
        0.108607,
        0.10835,
        0.110576,
        0.107814,
        0.104242,
        0.107482,
        0.109596,
        0.103645,
        0.102449,
        0.100796,
        0.0998073,
        0.103833,
        0.106187,
        0.101622,
        0.101335,
        0.10397,
        0.105294,
        0.105568,
        0.107722,
        0.111276,
        0.114327,
        0.117517,
        0.124236,
        0.132217,
        0.156504,
        0.168256,
        0.165953,
        0.17808,
        0.192036,
        0.215855,
        0.237054,
        0.209483,
        0.211009,
        0.221313,
        0.196748,
        0.177895,
        0.162747,
        0.153772,
        0.13968,
        0.12945,
        0.12273,
        0.115028,
        0.110105,
        0.108078,
        0.100883,
        0.107498,
        0.10756,
        0.0991189,
        0.0944471,
        0.0908241,
        0.0915001,
        0.0897208,
        0.0898904,
        0.0903363,
        0.0886474,
        0.0861612,
        0.0875711,
        0.0858174,
        0.0859492,
        0.0824109,
        0.0788342,
        0.0790593,
        0.0819765,
        0.0801187,
        0.0768421,
        0.0740099,
        0.07226,
        0.0713949,
        0.0708475,
        0.0699127,
        0.0699915,
        0.0702761,
        0.0697093,
        0.0680644,
        0.066483,
        0.0665792,
        0.0658401,
        0.06519,
        0.0653002,
        0.0687148,
        0.0700907,
        0.0644943,
        0.0627457,
        0.0620027,
        0.0600878,
        0.0605873,
        0.0611176,
        0.061999,
        0.0608214,
        0.0607131,
        0.0594401,
        0.0599036,
        0.0599607,
        0.0582393,
        0.0578917,
        0.0574764,
        0.0562369,
        0.0559941,
        0.0548716,
        0.0549933,
        0.0567446,
        0.0555912,
        0.0542025,
        0.0532562,
        0.053096,
        0.0537063,
        0.053042,
        0.0515828,
        0.0511439,
        0.051824,
        0.051237,
        0.0513435,
        0.0516418,
        0.0511556,
        0.0521012,
        0.0523127,
        0.0517358,
        0.0526867,
        0.0538628,
        0.0556091,
        0.0570961,
        0.0579914,
        0.0594238,
        0.0605611,
        0.0581921,
        0.0549181,
        0.0537694,
        0.0526352,
        0.0517411,
        0.0522719,
        0.0525694,
        0.0523717,
        0.0517237,
        0.0514444,
        0.0507486,
        0.0503432,
        0.0516853,
        0.0519364,
        0.0519965,
        0.051366,
        0.0512526,
        0.0519391,
        0.0526268,
        0.0527747,
        0.0520761,
        0.0514539,
        0.0520352,
        0.0528843,
        0.0528747,
        0.0521829,
        0.051777,
        0.05113,
        0.0503758,
        0.049887,
        0.0499109,
        0.0496511,
        0.049141,
        0.0494153,
        0.0497043,
        0.0486334,
        0.0491544,
        0.0494098,
        0.0487907,
        0.0477909,
        0.0473644,
        0.0477041,
        0.048049,
        0.0482622,
        0.047711,
        0.0500005,
        0.0556917,
        0.0523401,
        0.0481199,
        0.0474446,
        0.0474965,
        0.0471624,
        0.0474252,
        0.0481717,
        0.0483166,
        0.0482165,
        0.0483248,
        0.0491927,
        0.0490059,
        0.0487747,
        0.0492477,
        0.0486448,
        0.048575,
        0.0486644,
        0.0493136,
        0.0505898,
        0.0506761,
        0.0513263,
        0.0517076,
        0.0521193,
        0.052309,
        0.0528457,
        0.054373,
        0.0585859,
        0.0603333,
        0.0589767,
        0.0602399,
        0.0614857,
        0.0641483,
        0.066928,
        0.0725709,
        0.078413,
        0.0835444,
        0.0920295,
        0.105181,
        0.100952,
        0.0941767,
        0.085625,
        0.0780716,
        0.0712623,
        0.0669867,
        0.0626892,
        0.0592554,
        0.0570421,
        0.0550177,
        0.0544387,
        0.0532247,
        0.0525036,
        0.0505767,
        0.0491077,
        0.049001,
        0.0490156,
        0.051798,
        0.0504192,
        0.0520256,
        0.0521797,
        0.0465485,
        0.0465101,
        0.0460464,
        0.0458242,
        0.0475898,
        0.0463018,
        0.0478035,
        0.0463266,
        0.0451431,
        0.0446356,
        0.0444783,
        0.0447407,
        0.0441114,
        0.0441525,
        0.0439575,
        0.0439913,
        0.0434143,
        0.043877,
        0.0436985,
        0.0457897,
        0.0455064,
        0.0445474,
        0.0439526,
        0.0433421,
        0.0432645,
        0.043259,
        0.0432475,
        0.0449642,
        0.0452347,
        0.044714,
        0.0463483,
        0.0436902,
        0.0438443,
        0.0439726,
        0.0445008,
        0.0442795,
        0.0445174,
        0.0442293,
        0.0442304,
        0.0442649,
        0.0445418,
        0.0442564,
        0.0448233,
        0.0450552,
        0.0453502,
        0.0451713,
        0.0459068,
        0.0457067,
        0.0458018,
        0.0462252,
        0.0465498,
        0.0467685,
        0.0485745,
        0.0480587,
        0.0495885,
        0.0497252,
        0.0466646,
        0.0466982,
        0.0465701,
        0.0473613,
        0.0468068,
        0.0474711,
        0.0474777,
        0.0484258,
        0.0480458,
        0.0476893,
        0.047155,
        0.0468683,
        0.0472831,
        0.0476268,
        0.0471921,
        0.0474291,
        0.0474755,
        0.048,
        0.0512169,
        0.0507016,
        0.0496951,
        0.0520733,
        0.0487241,
        0.0478093,
        0.0477217,
        0.0470892,
        0.0467855,
        0.0464073,
        0.0465504,
        0.0466127,
        0.0461203,
        0.0466655,
        0.0461669,
        0.0450339,
        0.0458595,
        0.0458527,
        0.0456748,
        0.0452879,
        0.0448085,
        0.0448599,
        0.0447419,
        0.0442654,
        0.0451246,
        0.0446935,
        0.0448451,
        0.0450535,
        0.0452747,
        0.0447873,
        0.0448079,
        0.0449917,
        0.0450187,
        0.0445814,
        0.044868,
        0.0447319,
        0.0449031,
        0.0459048,
        0.0457437,
        0.0456984,
        0.0460846,
        0.0456711,
        0.0453089,
        0.0455199,
        0.0455135,
        0.0458839,
        0.0463075,
        0.0458442,
        0.0464186,
        0.0462588,
        0.045796,
        0.0461723,
        0.0460264,
        0.0468903,
        0.0465281,
        0.0463375,
        0.0461196,
        0.0464801,
        0.0473483,
        0.047598,
        0.047389,
        0.0475401,
        0.0473791,
        0.0474686,
        0.0474033,
        0.0480943,
        0.0484451,
        0.0482614,
        0.048118,
        0.0478542,
        0.0482202,
        0.0485961,
        0.0489503,
        0.0490171,
        0.0495158,
        0.0502631,
        0.0508415,
        0.0512783,
        0.0532332,
        0.0525148,
        0.0525863,
        0.0547175,
        0.054651,
        0.0548972,
        null,
        0.0331507,
        0.0333769,
        0.0334109,
        0.0333772,
        0.0331438,
        0.0331867,
        0.0336119,
        0.0334355,
        0.0334906,
        0.0337911,
        0.033773,
        0.0342872,
        0.034872,
        0.035101,
        0.0344932,
        0.0345125,
        0.0344878,
        0.0346534,
        0.0348934,
        0.0347971,
        0.0348765,
        0.0350836,
        0.0353764,
        0.0360666,
        0.0363127,
        0.0364611,
        0.0365233,
        0.0370857,
        0.0374231,
        0.0364819,
        0.0357293,
        0.0351414,
        0.0371505,
        0.0442069,
        0.042864,
        0.0357092,
        0.0336572,
        0.0334305,
        0.0335998,
        0.0334671,
        0.0333196,
        0.0334041,
        0.0339446,
        0.0339193,
        0.0343367,
        0.0344131,
        0.0345945,
        0.035098,
        0.0359784,
        0.0368029,
        0.0377931,
        0.0396516,
        0.0425025,
        0.0461826,
        0.0503267,
        0.055006,
        0.0587518,
        0.0621973,
        0.0636718,
        0.0604255,
        0.0549755,
        0.0511096,
        0.0467572,
        0.0433222,
        0.0413406,
        0.03998,
        0.0386225,
        0.0378195,
        0.0371104,
        0.0363166,
        0.0360652,
        0.0355666,
        0.0351171,
        0.0350299,
        0.0359754,
        0.0379032,
        0.0368533,
        0.0353669,
        0.035358,
        0.0357687,
        0.0355559,
        0.0352838,
        0.0350705,
        0.0357348,
        0.036095,
        0.0354949,
        0.035552,
        0.0356815,
        0.0356046,
        0.0360669,
        0.0366877,
        0.0364413,
        0.0367182,
        0.036684,
        0.0364339,
        0.0367306,
        0.0367258,
        0.0362293,
        0.0362488,
        0.0365359,
        0.0366351,
        0.0364251,
        0.0363463,
        0.0371495,
        0.037619,
        0.0378836,
        0.0386681,
        0.0394455,
        0.0401327,
        0.0415412,
        0.0431559,
        0.0445487,
        0.0475689,
        0.0512223,
        0.0545836,
        0.0598455,
        0.067181,
        0.0774338,
        0.0908829,
        0.110891,
        0.139122,
        0.185783,
        0.269384,
        0.321526,
        0.278618,
        0.186365,
        0.141973,
        0.107474,
        0.0886295,
        0.0749758,
        0.0649369,
        0.0583449,
        0.0546189,
        0.0506749,
        0.0479786,
        0.045642,
        0.0439871,
        0.0425108,
        0.0415879,
        0.0404863,
        0.0405586,
        0.0413739,
        0.0403444,
        0.0383664,
        0.0372064,
        0.03634,
        0.0361615,
        0.0363082,
        0.0358214,
        0.0353822,
        0.0351911,
        0.0347169,
        0.0346253,
        0.0340701,
        0.0341014,
        0.0338395,
        0.0335116,
        0.0337226,
        0.0334591,
        0.0334233,
        0.033312,
        0.0330888,
        0.0330801,
        0.0326061,
        0.0325703,
        0.0323719,
        0.0326174,
        0.0327057,
        0.0326827,
        0.031945,
        0.0317236,
        0.0318035,
        0.0321649,
        0.0320452,
        0.0319066,
        0.0320928,
        0.032082,
        0.0320051,
        0.0317988,
        0.0324545,
        0.032473,
        0.032801,
        0.0327304,
        0.0323127,
        0.0325744,
        0.0324269,
        0.0326326,
        0.0323984,
        0.0324552,
        0.032697,
        0.0322251,
        0.0324227,
        0.0326292,
        0.0327665,
        0.0325833,
        0.032501,
        0.0326513,
        0.0330157,
        0.0329075,
        0.0327657,
        0.0327273,
        0.0330363,
        0.033066,
        0.0333773,
        0.0330684,
        0.0326335,
        0.0322779,
        0.0321082,
        0.0318275,
        0.0316701,
        0.0314704,
        0.0317178,
        0.0314639,
        0.0313555,
        0.0311894,
        0.0309196,
        0.0310114,
        0.0308215,
        0.0312036,
        0.0307895,
        0.0310091,
        0.0308334,
        0.0308336,
        0.0306652,
        0.0304468,
        0.0303296,
        0.0303316,
        0.0306348,
        0.0304229,
        0.0302751,
        0.0305223,
        0.0303884,
        0.030502,
        0.0337774,
        0.0334881,
        0.0306909,
        0.0306798,
        0.0304678,
        0.030289,
        0.030852,
        0.0305062,
        0.0302149,
        0.0300681,
        0.0303247,
        0.0303637,
        0.0306459,
        0.0308484,
        0.0309193,
        0.0309761,
        0.0310185,
        0.0313784,
        0.0310699,
        0.0310149,
        0.0308066,
        0.0305879,
        0.0309863,
        0.0312905,
        0.0310774,
        0.0311384,
        0.0310177,
        0.0308804,
        0.0311192,
        0.0311729,
        0.0311498,
        0.0308861,
        0.0307367,
        0.0309964,
        0.0307719,
        0.0304153,
        0.0306214,
        0.0304687,
        0.0301261,
        0.0301351,
        0.0305612,
        0.0305441,
        0.0308239,
        0.0301336,
        0.0300562,
        0.0299984,
        0.0298801,
        0.0297729,
        0.0296139,
        0.0293879,
        0.0292165,
        0.0291992,
        0.0293188,
        0.0295638,
        0.0292065,
        0.0294267,
        0.0293668,
        0.0293699,
        0.0293586,
        0.0295748,
        0.0294725,
        0.0294669,
        0.0297576,
        0.0294002,
        0.0295096,
        0.0296414,
        0.0301651,
        0.0327341,
        0.0324264,
        0.0296275,
        0.0296588,
        0.0299383,
        0.0303028,
        0.0310288,
        0.0324846,
        0.033088,
        0.0319507,
        0.0321256,
        0.031864,
        0.0322017,
        0.0326939,
        0.0331165,
        0.0332574,
        0.0329961,
        0.0326368,
        0.0322508,
        0.0320351,
        0.0317929,
        0.0313186,
        0.0313736,
        0.0308348,
        0.0305815,
        0.0309321,
        0.0309282,
        0.030696,
        0.030585,
        0.0304034,
        0.030174,
        0.0303374,
        0.0304078,
        0.0337906,
        0.0318545,
        0.0300262,
        0.029778,
        0.0293388,
        0.0293324,
        0.0292246,
        0.0289242,
        0.0287195,
        0.0288809,
        0.0290369,
        0.029074,
        0.0289992,
        0.0291424,
        0.0314436,
        0.0317037,
        0.0286379,
        0.0286636,
        0.0285572,
        0.0284263,
        0.0286865,
        0.0287939,
        0.0285185,
        0.0286164,
        0.0286496,
        0.028665,
        0.0285299,
        0.0285489,
        0.0285877,
        0.0286736,
        0.0289695,
        0.0288955,
        0.028877,
        0.0291257,
        0.0295149,
        0.0296314,
        0.0293693,
        0.0290904,
        0.0294171,
        0.0292653,
        0.0292317,
        0.0295722,
        0.0295188,
        0.0297876,
        0.0297905,
        0.0299342,
        0.0296217,
        0.0295918,
        0.0296353,
        0.0296742,
        0.0300777,
        0.0302458,
        0.0303812,
        0.0304949,
        0.0303563,
        0.0306217,
        0.0302829,
        0.0304192,
        0.0304997,
        0.0302732,
        0.030142,
        0.0303574,
        0.0302576,
        0.0301683,
        0.0307517,
        0.0302663,
        0.0293522,
        0.0292568,
        0.0289927,
        0.0285911,
        0.0285762,
        0.0283925,
        0.028261,
        0.0282477,
        0.0282459,
        0.0283407,
        0.0283161,
        0.0280516,
        0.0280276,
        0.0281927,
        0.0280678,
        0.0279175,
        0.0280401,
        0.028068,
        0.0279806,
        0.027947,
        0.0278395,
        0.0281432,
        0.0281562,
        0.0280676,
        0.0282751,
        0.0283734,
        0.028168,
        0.0282501,
        0.0283287,
        0.02828,
        0.0285814,
        0.0290417,
        0.0288817,
        0.0290113,
        0.0291764,
        0.0291029,
        0.0294156,
        0.0299278,
        0.0299894,
        0.0296769,
        0.029671,
        0.0296543,
        0.0299738,
        0.0302669,
        0.0298599,
        0.030086,
        0.0318415,
        0.0320556,
        0.0299294,
        0.0300683,
        0.0298454,
        0.0300749,
        0.0296458,
        0.02987,
        0.03004,
        0.0301968,
        0.0304809,
        0.0337245,
        0.0318948,
        0.0303772,
        0.030404,
        0.0304035,
        0.03017,
        0.0303348,
        0.0303335,
        0.0304374,
        0.0307509,
        0.0321226,
        0.0317014,
        0.0315425,
        0.0313539,
        0.0318954,
        0.0321857,
        0.0333775,
        0.0378369,
        0.0381647,
        0.0351836,
        0.0368167,
        0.038776,
        0.0410245,
        0.0432729,
        0.0462544,
        0.0500082,
        0.0539826,
        0.0575681,
        0.0593409,
        0.0605763,
        0.0604888,
        0.0575603,
        0.0531816,
        0.0502744,
        0.0464363,
        0.0440639,
        0.0415325,
        0.0392206,
        0.0379132,
        0.0364357,
        0.0352186,
        0.034832,
        0.0340791,
        0.0331678,
        0.0327321,
        0.0323219,
        0.0319992,
        0.0317586,
        0.0316931,
        0.0313761,
        0.0314948,
        0.0311165,
        0.0311246,
        0.0309718,
        0.0307843,
        0.0305221,
        0.030491,
        0.0304647,
        0.0303705,
        0.030048,
        0.0301936,
        0.0307771,
        0.0306286,
        0.0302469,
        0.0306109,
        0.0300578,
        0.0299289,
        0.0299632,
        0.0299413,
        0.029949,
        0.02993,
        0.0300419,
        0.0300393,
        0.0298734,
        0.0294129,
        0.029468,
        0.02941,
        0.0293056,
        0.0293355,
        0.0297614,
        0.0295836,
        0.0296708,
        0.0300883,
        0.0296488,
        0.0296548,
        0.0294533,
        0.0294609,
        0.0294259,
        0.0292983,
        0.0295545,
        0.0295019,
        0.0296997,
        0.0294524,
        0.0297797,
        0.0298279,
        0.02992,
        0.0299619,
        0.0302114,
        0.0303878,
        0.0303138,
        0.0306232,
        0.0315121,
        0.0349112,
        0.0353423,
        0.0313949,
        0.0315465,
        0.0322745,
        0.0371958,
        0.0367573,
        0.0325683,
        0.0325944,
        0.0330719,
        0.0332151,
        0.0335914,
        0.0343325,
        0.0343394,
        0.0341796,
        0.0338275,
        0.0342617,
        0.0348115,
        0.0349377,
        0.0351088,
        0.0355069,
        0.0351889,
        0.0351724,
        0.0352407,
        0.0356849,
        0.0361922,
        0.038064,
        0.0382509,
        0.0370843,
        0.0369431,
        0.0366681,
        0.0359553,
        0.0360196,
        0.0358721,
        0.0360719,
        0.0360704,
        0.0364375,
        0.0370387,
        0.0372878,
        0.0369745,
        0.0369863,
        0.0374254,
        0.0379479,
        0.0384709,
        0.0385087,
        0.0384904,
        0.0389005,
        0.0395812,
        0.0402107,
        0.0405611,
        0.0416768,
        0.0438564,
        0.0436512,
        0.0434313,
        0.044581,
        0.0460623,
        0.0459661,
        0.0469533,
        0.047927,
        0.0486977,
        0.0505358,
        0.0512419,
        0.0529265,
        0.0545525,
        0.0569314,
        0.0591925,
        0.0610049,
        0.0633009,
        0.0660553,
        0.0679869,
        0.0726274,
        0.0776265,
        0.0807967,
        0.0835034,
        0.0886502,
        0.0927926,
        0.101185,
        0.108863,
        0.117183,
        0.130839,
        0.142592,
        0.163644,
        0.183974,
        0.216069,
        0.24975,
        0.298634,
        0.258453,
        0.223823,
        0.18482,
        0.161879,
        0.142895,
        0.130255,
        0.120965,
        0.108167,
        0.100392,
        0.0940229,
        0.0885373,
        0.0843464,
        0.0804597,
        0.0758785,
        0.071629,
        0.0679869,
        0.0670703,
        0.0645144,
        0.0620624,
        0.0597846,
        0.0568778,
        0.0563553,
        0.055299,
        0.0543893,
        0.0531145,
        0.0531008,
        0.0521578,
        0.0508503,
        0.0493102,
        0.0479548,
        0.0476881,
        0.0466574,
        0.0458887,
        0.0459877,
        0.045704,
        0.0458108,
        0.0455293,
        0.0449518,
        0.0438972,
        0.0427744,
        0.042214,
        0.0413952,
        0.0413214,
        0.0409401,
        0.0401481,
        0.0395189,
        0.0389915,
        0.0390959,
        0.0385834,
        0.0379255,
        0.0378236,
        0.0376657,
        0.036894,
        0.0365695,
        0.0359218,
        0.0355259,
        0.0356993,
        0.0356049,
        0.0358613,
        0.0352777,
        0.0347357,
        0.0345577,
        0.0344586,
        0.0341747,
        0.0343281,
        0.0339398,
        0.0334806,
        0.0333667,
        0.0333744,
        0.0337144,
        0.0341036,
        0.0344817,
        0.0340764,
        0.0340337,
        0.0338403,
        0.0342289,
        0.0340368,
        0.0340497,
        0.0345678,
        0.0347205,
        0.0346186,
        0.0346967,
        0.0354603,
        0.0380023,
        0.0361507,
        0.0344532,
        0.0348588,
        0.0356707,
        0.0367415,
        0.0388699,
        0.0407324,
        0.041607,
        0.0398349,
        0.0375883,
        0.0357158,
        0.0341612,
        0.0335289,
        0.0327807,
        0.0326673,
        0.0325034,
        0.0326396,
        0.032417,
        0.0323632,
        0.0323702,
        0.0321093,
        0.0321445,
        0.031783,
        0.0321693,
        0.0322898,
        0.0320837,
        0.0317623,
        0.031955,
        0.0316451,
        0.0318749,
        0.0319135,
        0.0322272,
        0.0325183,
        0.0322333,
        0.0323105,
        0.0319924,
        0.0317512,
        0.0312259,
        0.0307263,
        0.0303579,
        0.0303229,
        0.0306312,
        0.030184,
        0.0300886,
        0.0299316,
        0.0294921,
        0.0296023,
        0.0295813,
        0.0291875,
        0.0297382,
        0.0291592,
        0.0293582,
        0.0295463,
        0.0302944,
        0.030831,
        0.0302551,
        0.0294394,
        0.0295768,
        0.0295293,
        0.0293772,
        0.0294493,
        0.0297557,
        0.0297174,
        0.029701,
        0.0298825,
        0.0297838,
        0.0298206,
        0.0300005,
        0.0297703,
        0.0300243,
        0.0302744,
        0.0300733,
        0.0301504,
        0.03024,
        0.0303062,
        0.0301817,
        0.0303818,
        0.0305795,
        0.0301739,
        0.029986,
        0.0298992,
        0.0300872,
        0.0300461,
        0.0303173,
        0.0304794,
        0.0299749,
        0.0297495,
        0.0297045,
        0.0298702,
        0.0302058,
        0.0300907,
        0.0301676,
        0.030883,
        0.0311937,
        0.0311009,
        0.0314097,
        0.0321919,
        0.0323494,
        0.0325019,
        0.0319565,
        0.0306687,
        0.0297078,
        0.0293444,
        0.0291813,
        0.0289174,
        0.0289613,
        0.02909,
        0.0316053,
        0.0334878,
        0.0306383,
        0.0289649,
        0.0288647,
        0.0285103,
        0.0285388,
        0.0285817,
        0.0287553,
        0.0287245,
        0.0285291,
        0.0288443,
        0.0288052,
        0.028636,
        0.0287951,
        0.0289155,
        0.0286984,
        0.0287395,
        0.0289941,
        0.0292706,
        0.0290537,
        0.031484,
        0.0339908,
        0.0312447,
        0.0295544,
        0.0296857,
        0.0296543,
        0.0298641,
        0.029902,
        0.02959,
        0.0296058,
        0.0299835,
        0.0302686,
        0.0300949,
        0.0300643,
        0.0299989,
        0.0297265,
        0.0298122,
        0.0299088,
        0.0299722,
        0.0300112,
        0.0299836,
        0.0297128,
        0.029556,
        0.0295615,
        0.029625,
        0.0299661,
        0.0300019,
        0.0302245,
        0.0310639,
        0.0303339,
        0.0291777,
        0.0293241,
        0.0295718,
        0.0293495,
        0.0289592,
        0.0286203,
        0.0287461,
        0.0288942,
        0.0290919,
        0.0288524,
        0.0287626,
        0.028854,
        0.0290353,
        0.0289886,
        0.0289885,
        0.0287335,
        0.0284167,
        0.0283654,
        0.0287279,
        0.0288951,
        0.0286015,
        0.0284718,
        0.0285506,
        0.0288784,
        0.029015,
        0.0289975,
        0.0287852,
        0.0288281,
        0.0288584,
        0.0288724,
        0.0288999,
        0.0291256,
        0.0291609,
        0.0292851,
        0.0292322,
        0.0292362,
        0.0299654,
        0.0303765,
        0.0298248,
        0.0295003,
        0.0296135,
        0.0297241,
        0.0298049,
        0.0300043,
        0.0298151,
        0.0298427,
        0.0299775,
        0.0301899,
        0.030243,
        0.0299727,
        0.0299284,
        0.0303895,
        0.0305893,
        0.0309883,
        0.0320465,
        0.0318613,
        0.0314372,
        0.0309488,
        0.0301951,
        0.0300501,
        0.029945,
        0.0300072,
        0.0298548,
        0.029867,
        0.0301934,
        0.0302416,
        0.0300534,
        0.0300594,
        0.0302268,
        0.0304958,
        0.0305749,
        0.0305625,
        0.0307992,
        0.0312341,
        0.031399,
        0.0312952,
        0.0315807,
        0.0317931,
        0.0315984,
        0.0327085,
        0.0312678,
        0.0300458,
        0.0297034,
        0.0301473,
        0.0302323,
        0.0293992,
        0.0289886,
        0.0305137,
        0.0313794,
        0.0301853,
        0.0293589,
        0.0292615,
        0.0291598,
        0.0292011,
        0.0289793,
        0.0286644,
        0.0294537,
        0.0299608,
        0.0299934,
        0.0296499,
        0.0297223,
        0.0297321,
        0.0297886,
        0.0299136,
        0.0300455,
        0.0300494,
        0.0298931,
        0.0302561,
        0.030035,
        0.0300209,
        0.0300292,
        0.0302864,
        0.0304981,
        0.0310373,
        0.0314361,
        0.0313283,
        0.03129,
        0.0311757,
        0.0307209,
        0.0308699,
        0.0309146,
        0.0309901,
        0.0308696,
        0.0308174,
        0.0327661,
        0.0352294,
        0.0342035,
        0.0316922,
        0.0310717,
        0.0304827,
        0.0305211,
        0.0305617,
        0.0306828,
        0.0303938,
        0.0311188,
        0.0307568,
        0.0306245,
        0.031001,
        0.0311002,
        0.0305551,
        0.0303059,
        0.0298669,
        0.0300771,
        0.0299466,
        0.0299922,
        0.0295243,
        0.0295563,
        0.0296331,
        0.032849,
        0.0338536,
        0.0307558,
        0.0293408,
        0.029526,
        0.0296465,
        0.0301363,
        0.0302991,
        0.0299448,
        0.0299259,
        0.029877,
        0.0299593,
        0.0299409,
        0.0299516,
        0.0300285,
        0.0304492,
        0.0313519,
        0.0307448,
        0.0302804,
        0.0303201,
        0.0305254,
        0.0312717,
        0.0312985,
        0.0312661,
        0.0312348,
        0.0309756,
        0.0310313,
        0.0307095,
        0.0307794,
        0.0312377,
        0.0314455,
        0.0314051,
        0.0313384,
        0.0316304,
        0.0320513,
        0.0322771,
        0.0323025,
        0.0323541,
        0.0327273,
        0.0321138,
        0.0323155,
        0.032403,
        0.0330407,
        0.0337499,
        0.0326828,
        0.0314856,
        0.0314768,
        0.0312537,
        0.0310221,
        0.0310048,
        0.0316452,
        0.0316197,
        0.0310125,
        0.0309407,
        0.0307707,
        0.0303683,
        0.0303872,
        0.030692,
        0.0304606,
        0.0299863,
        0.0300543,
        0.0298595,
        0.0298145,
        0.029748,
        0.0298975,
        0.0297281,
        0.0299753,
        0.0296576,
        0.031382,
        0.0324674,
        0.0309646,
        0.0306658,
        0.0302273,
        0.0300556,
        0.0302385,
        0.029874,
        0.0295368,
        0.0300188,
        0.0303936,
        0.0304274,
        0.0324139,
        0.032469,
        0.0311625,
        0.0305899,
        0.0308348,
        0.0313182,
        0.0317688,
        0.0313566,
        0.0311483,
        0.0310533,
        0.0313538,
        0.0314003,
        0.0313798,
        0.0314881,
        0.0314467,
        0.0317865,
        0.0317069,
        0.0318242,
        0.0318848,
        0.0320367,
        0.0322662,
        0.0324416,
        0.0319301,
        0.0318382,
        0.0323705,
        0.0322732,
        0.0321259,
        0.0318755,
        0.0321647,
        0.0322371,
        0.0323232,
        0.0320568,
        0.0321531,
        0.0318746,
        0.0320249,
        0.0321623,
        0.032112,
        0.0322847,
        0.0322065,
        0.0322877,
        0.0322213,
        0.0320929,
        0.0321827,
        0.0321502,
        0.0322567,
        0.0324591,
        0.0329012,
        0.0334391,
        0.0339489,
        0.033996,
        0.0343373,
        0.034283,
        0.0343269,
        0.0341349,
        0.0337409,
        0.0329488,
        0.0330024,
        0.0325658,
        0.0322786,
        0.0320523,
        0.0320367,
        0.0319408,
        0.0321353,
        0.0320652,
        0.0319018,
        0.0321668,
        0.0323496,
        0.0322329,
        0.0324092,
        0.0325493,
        0.0323222,
        0.032504,
        0.032764,
        0.032663,
        0.0326746,
        0.0329,
        0.0329917,
        0.0330066,
        0.0330218,
        0.0329054,
        0.032988,
        0.0330351,
        0.0334671,
        0.0341253,
        0.0339114,
        0.0338981,
        0.0338973,
        0.0340189,
        0.0339406,
        0.0339394,
        0.0340243,
        0.0342583,
        0.0342138,
        0.0345502,
        0.0343416,
        0.034146,
        0.0363423,
        0.0367569,
        0.0349693,
        0.0341617,
        0.0346493,
        0.0354043,
        0.0365185,
        0.0352866,
        0.0338712,
        0.0339055,
        0.034079,
        0.0341644,
        0.0338741,
        0.0340361,
        0.0344161,
        0.0348465,
        0.0354178,
        0.0351508,
        0.0338302,
        0.0336503,
        0.0357818,
        0.0363511,
        0.0346273,
        0.0336631,
        0.0336898,
        0.0360259,
        0.0369032,
        0.0347937,
        0.033417,
        0.0341336,
        0.0341847,
        0.0341145,
        0.0339065,
        0.0341427,
        0.0365107,
        0.0386792,
        0.0361328,
        0.0344142,
        0.0342203,
        0.0345422,
        0.0350927,
        0.0364204,
        0.0371766,
        0.0358663,
        0.0349632,
        0.0349069,
        0.0352155,
        0.0357628,
        0.0355824,
        0.0359632,
        0.0370155,
        0.036766,
        0.0377495,
        0.0386301,
        0.0375405,
        0.0364192,
        0.0367304,
        0.036975,
        0.037261,
        0.0370641,
        0.0367186,
        0.0372439,
        0.0369321,
        0.0373155,
        0.0373184,
        0.0369442,
        0.036633,
        0.0372595,
        0.0372067,
        0.0370799,
        0.0368985,
        0.0369762,
        0.040191,
        0.0424182,
        0.0393767,
        0.0369453,
        0.03692,
        0.03786,
        0.0378554,
        0.0378561,
        0.0373583,
        0.0372925,
        0.037358,
        0.0368071,
        0.036955,
        0.0369259,
        0.0371294,
        0.0370689,
        0.0369777,
        0.0372696,
        0.0373642,
        0.0375938,
        0.0371497,
        0.0372134,
        0.0388938,
        0.0418966,
        0.0422713,
        0.0433631,
        0.0459805,
        0.0414779,
        0.0378931,
        0.0378815,
        0.0378812,
        0.0381843,
        0.0383992,
        0.0383254,
        0.0387636,
        0.0386643,
        0.0385869,
        0.0389944,
        0.0388542,
        0.0391184,
        0.0398108,
        0.0398347,
        0.0399746,
        0.0395368,
        0.0398947,
        0.0399554,
        0.0401401,
        0.0407301,
        0.0406105,
        0.0403226,
        0.0408242,
        0.0412282,
        0.0414303,
        0.0417695,
        0.0414044,
        0.041284,
        0.0417531,
        0.0418324,
        0.0419523,
        0.0438675,
        0.0456073,
        0.0434084,
        0.042136,
        0.042945,
        0.0431575,
        0.0442995,
        0.0439029,
        0.043262,
        0.043381,
        0.0431658,
        0.0435965,
        0.043435,
        0.0441557,
        0.0444428,
        0.0450159,
        0.0450367,
        0.0455229,
        0.0466446,
        0.0480745,
        0.0493371,
        0.0508875,
        0.0526637,
        0.0542855,
        0.0564722,
        0.0581421,
        0.0598913,
        0.0588149,
        0.0580409,
        0.0562922,
        0.055296,
        0.0546887,
        0.054549,
        0.0528203,
        0.0520773,
        0.0522656,
        0.0495405,
        0.0477934,
        0.0475654,
        0.0472058,
        0.0465938,
        0.0474236,
        0.0492302,
        0.0480304,
        0.0455697,
        0.0460338,
        0.0456357,
        0.0459399,
        0.0460589,
        0.0481878,
        0.0521773,
        0.05028,
        0.0473061,
        0.0471179,
        0.0471947,
        0.0476752,
        0.0477643,
        0.0473275,
        0.0473691,
        0.0483308,
        0.0481067,
        0.049174,
        0.0500095,
        0.048851,
        0.0490386,
        0.0493274,
        0.0489585,
        0.0490208,
        0.0489505,
        0.049776,
        0.0505628,
        0.0513718,
        0.0514885,
        0.0523145,
        0.0519829,
        0.0523663,
        0.0526699,
        0.052658,
        0.0531756,
        0.0527922,
        0.0533033,
        0.0539641,
        0.0545556,
        0.0550237,
        0.0555501,
        0.0567444,
        0.0586428,
        0.0583303,
        0.05717,
        0.0571603,
        0.0567705,
        0.0573647,
        0.0563199,
        0.0557293,
        0.0551275,
        0.0540219,
        0.0539767,
        0.0540756,
        0.0541514,
        0.0587732,
        0.0584877,
        0.0534372,
        0.0537421,
        0.0533094,
        0.053382,
        0.0529682,
        0.0533187,
        0.0530613,
        0.0542921,
        0.0559692,
        0.055067,
        0.056113,
        0.0573685,
        0.0563781,
        0.0570566,
        0.0570786,
        0.0564593,
        0.0565829,
        0.0576637,
        0.0581737,
        0.0591615,
        0.058041,
        0.0589328,
        0.0591487,
        0.0586783,
        0.0577151,
        0.0590336,
        0.0594203,
        0.0586584,
        0.0593707,
        0.0589421,
        0.0590314,
        0.0602941,
        0.0616914,
        0.0636767,
        0.0633498,
        0.0632581,
        0.063588,
        0.0646056,
        0.0650446,
        0.0648691,
        0.0655507,
        0.0634057,
        0.0644742,
        0.0648778,
        0.0638895,
        0.064686,
        0.0654815,
        0.0662393,
        0.06715,
        0.0683701,
        0.0691442,
        0.0695179,
        0.0698097,
        0.0707483,
        0.0717305,
        0.0734508,
        0.0730904,
        0.072719,
        0.070993,
        0.0684759,
        0.0668738,
        0.0658682,
        0.0655314,
        0.0656612,
        0.066249,
        0.0648686,
        0.0645416,
        0.0663315,
        0.0656377,
        0.0638548,
        0.0634142,
        0.064976,
        0.0663033,
        0.0654745,
        0.0665583,
        0.0647694,
        0.0644799,
        0.065285,
        0.066,
        0.0656617,
        0.0663599,
        0.0671964,
        0.0674615,
        0.067734,
        0.0684978,
        0.0693225,
        0.069176,
        0.0686064,
        0.0686216,
        0.0701256,
        0.0705707,
        0.0712889,
        0.0729112,
        0.0730535,
        0.0735335,
        0.0746593,
        0.0846653,
        0.085189,
        0.0748664,
        0.0763263,
        0.0796878,
        0.0778118,
        0.0770814,
        0.0765474,
        0.0771407,
        0.0785525,
        0.0797464,
        0.0785081,
        0.0792876,
        0.0806487,
        0.0827992,
        0.0825838,
        0.0817887,
        0.0812224,
        0.082417,
        0.0821743,
        0.0832776,
        0.0841344,
        0.086557,
        0.0854592,
        0.0864095,
        0.086638,
        0.0893848,
        0.0888224,
        0.0885228,
        0.0916423,
        0.0902389,
        0.0934215,
        0.0936721,
        0.0906964,
        0.0916565,
        0.091276,
        0.0950565,
        0.108816,
        0.107238,
        0.096759,
        0.100349,
        0.100883,
        0.103158,
        0.107436,
        0.108237,
        0.11154,
        0.113032,
        0.110598,
        0.11464,
        0.112388,
        0.113907,
        0.128697,
        0.132431,
        0.121954,
        0.118715,
        0.116995,
        0.114712,
        0.118914,
        0.124469,
        0.123187,
        0.127923,
        0.130238,
        0.133468,
        0.130348,
        0.145637,
        0.145182,
        0.133814,
        0.138431,
        0.137938,
        0.138289,
        0.141417,
        0.145663,
        0.148341,
        0.152558,
        0.15506,
        0.160151,
        0.170341,
        0.179544,
        0.175739,
        0.177019,
        0.174045,
        0.172465,
        0.185387,
        0.193631,
        0.191859,
        0.189104,
        0.190774,
        0.196941,
        0.205898,
        0.220668,
        0.232396,
        0.286619,
        0.299782,
        0.30252,
        null,
        0.267441,
        0.23044,
        0.232257,
        0.227544,
        0.220701,
        0.225135,
        0.228184,
        0.222451,
        0.213601,
        0.20687,
        0.197306,
        0.201791,
        0.19535,
        0.195627,
        0.187682,
        0.185188,
        0.184614,
        0.176034,
        0.169706,
        0.170841,
        0.170203,
        0.171514,
        0.169729,
        0.168696,
        0.166219,
        0.160751,
        0.154472,
        0.157292,
        0.156729,
        0.145696,
        0.144215,
        0.146564,
        0.144964,
        0.143605,
        0.139618,
        0.136317,
        0.137091,
        0.138866,
        0.131817,
        0.133401,
        0.130267,
        0.130864,
        0.135542,
        null,
        0.0509677,
        0.0504321,
        0.0509857,
        0.0517185,
        0.0511046,
        0.0506544,
        0.0508491,
        0.0504029,
        0.0513442,
        0.0513481,
        0.0512878,
        0.0515466,
        0.052034,
        0.0522273,
        0.0520401,
        0.0520125,
        0.0514589,
        0.0519286,
        0.0521777,
        0.05213,
        0.0518778,
        0.0518654,
        0.0524644,
        0.0522113,
        0.0514732,
        0.0524993,
        0.0528693,
        0.0517502,
        0.0514858,
        0.0529392,
        0.0537306,
        0.0526847,
        0.0524072,
        0.0536453,
        0.0533,
        0.0535007,
        0.0541449,
        0.0540587,
        0.0547161,
        0.0551931,
        0.0555122,
        0.0565528,
        0.0568261,
        0.0570432,
        0.0575543,
        0.0597264,
        0.0600867,
        0.060549,
        0.0619565,
        0.0645616,
        0.0681195,
        0.0710728,
        0.0745662,
        0.0766254,
        0.0781794,
        0.0770405,
        0.0768122,
        0.0762221,
        0.0744359,
        0.0776225,
        0.0845711,
        0.0854262,
        0.0856218,
        0.0886038,
        0.0887887,
        0.089756,
        0.0882916,
        0.0841915,
        0.0820268,
        0.0790736,
        0.0777044,
        0.0762814,
        0.0751706,
        0.074802,
        0.0749897,
        0.0752155,
        0.0746754,
        0.0758242,
        0.0774841,
        0.077121,
        0.0766828,
        0.0789766,
        0.077354,
        0.0808257,
        0.0816155,
        0.0823801,
        0.0814232,
        0.0830297,
        0.0839711,
        0.0849476,
        0.0864423,
        0.0873152,
        0.0885614,
        0.0910296,
        0.093092,
        0.0940572,
        0.0934061,
        0.0959517,
        0.1009,
        0.100336,
        0.10431,
        0.112792,
        0.114892,
        0.132985,
        0.135758,
        0.129646,
        0.131438,
        0.137223,
        0.147541,
        0.145345,
        0.154078,
        0.155525,
        0.164329,
        0.171901,
        0.185822,
        0.197421,
        0.201673,
        0.208562,
        0.254675,
        0.303374,
        0.271563,
        0.245527,
        0.225396,
        0.209544,
        0.194162,
        0.189827,
        0.191857,
        0.173253,
        0.166705,
        0.162265,
        0.154188,
        0.14336,
        0.139815,
        0.141054,
        0.132697,
        0.128106,
        0.130703,
        0.131637,
        0.124757,
        0.12303,
        0.120595,
        0.117133,
        0.119034,
        0.1153,
        0.112024,
        0.108039,
        0.105406,
        0.103877,
        0.0999118,
        0.0963124,
        0.09478,
        0.0897502,
        0.0886367,
        0.0864411,
        0.0828677,
        0.0796762,
        0.0777793,
        0.0771865,
        0.0747502,
        0.0731977,
        0.0730959,
        0.0731104,
        0.0701921,
        0.0684523,
        0.0675439,
        0.0674358,
        0.0668892,
        0.0673589,
        0.0670084,
        0.0650819,
        0.0646186,
        0.0647272,
        0.0646901,
        0.0642403,
        0.0654248,
        0.0657809,
        0.066402,
        0.0682767,
        0.0696019,
        0.0719458,
        0.0740155,
        0.0736708,
        0.0710979,
        0.0671336,
        0.0641286,
        0.0623268,
        0.0612741,
        0.0598979,
        0.0591907,
        0.0585994,
        0.0571556,
        0.0572501,
        0.0567411,
        0.0555,
        0.0553839,
        0.0542119,
        0.0536507,
        0.0545581,
        0.0537729,
        0.0536072,
        0.0615674,
        0.0592538,
        0.05054,
        0.0498034,
        0.0497389,
        0.0503306,
        0.0503637,
        0.0490272,
        0.0484374,
        0.0502521,
        0.0550509,
        0.0532212,
        0.0480874,
        0.047593,
        0.0473709,
        0.0468306,
        0.0474733,
        0.0472828,
        0.0465749,
        0.0458702,
        0.0459346,
        0.0462066,
        0.0461496,
        0.0463075,
        0.0468777,
        0.0459188,
        0.0461782,
        0.0456614,
        0.0454008,
        0.0467606,
        0.0464255,
        0.0456866,
        0.0459273,
        0.0458103,
        0.0460472,
        0.0460204,
        0.047064,
        0.0472256,
        0.0459786,
        0.0457656,
        0.0454951,
        0.0473235,
        0.0532572,
        0.0516621,
        0.0462597,
        0.0465163,
        0.0465423,
        0.0474702,
        0.0472363,
        0.0470768,
        0.0481519,
        0.0481985,
        0.0483127,
        0.048747,
        0.0493902,
        0.0497805,
        0.0503864,
        0.0518659,
        0.0525527,
        0.053653,
        0.0552612,
        0.0580096,
        0.0591295,
        0.0613179,
        0.0657179,
        0.0692034,
        0.0758886,
        0.0785228,
        0.0835407,
        0.0842826,
        0.0816133,
        0.0810712,
        0.0793813,
        0.074882,
        0.0772891,
        0.073833,
        0.0617714,
        0.0579478,
        0.0566876,
        0.0534174,
        0.0507303,
        0.0508332,
        0.0482806,
        0.0475047,
        0.0462619,
        0.0450404,
        0.0445166,
        0.0439731,
        0.0434249,
        0.0438037,
        0.0430453,
        0.0429015,
        0.0429242,
        0.0423686,
        0.0421888,
        0.0420914,
        0.0419788,
        0.0416659,
        0.0420966,
        0.0418248,
        0.0417519,
        0.0418135,
        0.0418827,
        0.0417309,
        0.0414295,
        0.0416256,
        0.0416345,
        0.0407183,
        0.0406594,
        0.0412085,
        0.0417956,
        0.0433273,
        0.0463924,
        0.046363,
        0.0418852,
        0.0409314,
        0.0405419,
        0.0406276,
        0.0412627,
        0.041129,
        0.0404282,
        0.0407338,
        0.0409064,
        0.0407612,
        0.0402978,
        0.0401756,
        0.0399733,
        0.0401634,
        0.0396316,
        0.0387944,
        0.0388414,
        0.0391964,
        0.0389523,
        0.0392605,
        0.03905,
        0.0386683,
        0.0388044,
        0.0393955,
        0.0426712,
        0.0404695,
        0.0386251,
        0.0382566,
        0.0383106,
        0.038099,
        0.0378326,
        0.0382528,
        0.0384196,
        0.0383992,
        0.0382275,
        0.0381627,
        0.0383405,
        0.0384796,
        0.038637,
        0.038407,
        0.0383997,
        0.0387248,
        0.0389956,
        0.0389983,
        0.0388327,
        0.040341,
        0.0465476,
        0.0443968,
        0.0407697,
        0.0415859,
        0.0423435,
        0.0423894,
        0.0437737,
        0.0452849,
        0.0471394,
        0.0495802,
        0.0514751,
        0.0514002,
        0.0499418,
        0.0481404,
        0.0453951,
        0.0439324,
        0.0432252,
        0.0422899,
        0.0418811,
        0.0414588,
        0.0414267,
        0.0407885,
        0.0404455,
        0.0399711,
        0.0402634,
        0.04006,
        0.0400638,
        0.0398333,
        0.0399974,
        0.0402342,
        0.0397548,
        0.0398351,
        0.0391439,
        0.0389509,
        0.0389044,
        0.0385875,
        0.0388594,
        0.0393482,
        0.0418508,
        0.0425349,
        0.0440056,
        0.0429909,
        0.038215,
        0.0381379,
        0.0384897,
        0.0409054,
        0.0410137,
        0.0383423,
        0.0382269,
        0.0382022,
        0.0383518,
        0.0381051,
        0.03809,
        0.0380217,
        0.0381262,
        0.0383336,
        0.038956,
        0.0400533,
        0.0386526,
        0.0381525,
        0.03817,
        0.0388336,
        0.0390955,
        0.0390436,
        0.0389664,
        0.0394766,
        0.0394159,
        0.0394283,
        0.0402085,
        0.0403494,
        0.0409787,
        0.0404812,
        0.039507,
        0.0409481,
        0.0418387,
        0.0412671,
        0.0401525,
        0.040528,
        0.0406494,
        0.0411579,
        0.0415515,
        0.0412315,
        0.0413268,
        0.0412522,
        0.0414798,
        0.0413629,
        0.041354,
        0.0420819,
        0.0438913,
        0.0437904,
        0.0422741,
        0.0428387,
        0.0425201,
        0.0423643,
        0.042107,
        0.0423929,
        0.0418755,
        0.0418879,
        0.0425588,
        0.0423217,
        0.0423849,
        0.0425165,
        0.0423278,
        0.0426517,
        0.0427725,
        0.0433271,
        0.0434696,
        0.0442962,
        0.0446247,
        0.0444642,
        0.0447587,
        0.0455344,
        0.0482815,
        0.049307,
        0.0469259,
        0.0476464,
        0.0480501,
        0.0495852,
        0.0513528,
        0.0531613,
        0.0599462,
        0.0614669,
        0.0564742,
        0.0580195,
        0.0608938,
        0.0621201,
        0.0649085,
        0.0699269,
        0.0742665,
        0.0801091,
        0.0870647,
        0.0947005,
        0.102973,
        0.122574,
        0.136044,
        0.148812,
        0.183428,
        0.252412,
        0.302006,
        0.221348,
        0.178015,
        0.159852,
        0.134799,
        0.118585,
        0.105521,
        0.0960805,
        0.0886283,
        0.0835542,
        0.0776972,
        0.0723998,
        0.0685116,
        0.0662228,
        0.0621984,
        0.0607819,
        0.0610017,
        0.0607495,
        0.0560349,
        0.0552768,
        0.0565381,
        0.0553299,
        0.0520823,
        0.0524159,
        0.0504208,
        0.0508177,
        0.0493666,
        0.0484607,
        0.0479486,
        0.0477712,
        0.0483389,
        0.055273,
        0.0540526,
        0.0483253,
        0.0475299,
        0.0467874,
        0.046357,
        0.0468432,
        0.0460887,
        0.0470728,
        0.0475208,
        0.0476822,
        0.047846,
        0.0480197,
        0.0491563,
        0.0496582,
        0.0498072,
        0.0507504,
        0.0517971,
        0.0536508,
        0.0546522,
        0.0568857,
        0.0634758,
        0.0635623,
        0.0650715,
        0.0691357,
        0.0718223,
        0.0720551,
        0.0696912,
        0.0682225,
        0.0690663,
        0.0704872,
        0.073161,
        0.0784097,
        0.0835157,
        0.08791,
        0.0985673,
        0.112713,
        0.130494,
        0.154541,
        0.158146,
        0.173333,
        0.164027,
        0.148134,
        0.133317,
        0.120567,
        0.102455,
        0.0923516,
        0.086105,
        0.0785232,
        0.0707845,
        0.0662782,
        0.0642734,
        0.0627321,
        0.0604344,
        0.0586145,
        0.0562602,
        0.0549657,
        0.0559346,
        0.055306,
        0.0553724,
        0.0546205,
        0.0548658,
        0.055702,
        0.0559146,
        0.056025,
        0.0574699,
        0.0571011,
        0.0567962,
        0.0573371,
        0.0568788,
        0.0561092,
        0.0612464,
        0.0604707,
        0.0561602,
        0.0563334,
        0.0560779,
        0.0550669,
        0.0551102,
        0.0549942,
        0.0557132,
        0.0566083,
        0.0585755,
        0.0596515,
        0.0614087,
        0.0649458,
        0.069186,
        0.0726766,
        0.0738124,
        0.0736545,
        0.0720737,
        0.0707868,
        0.0703801,
        0.0718594,
        0.0756961,
        0.0777936,
        0.0801793,
        0.0792372,
        0.0780418,
        0.0808599,
        0.0788772,
        0.0787432,
        0.0862645,
        0.0832703,
        0.0801728,
        0.0805927,
        0.0826797,
        0.0844818,
        0.0883856,
        0.0884007,
        0.0918524,
        0.0991266,
        0.10543,
        0.106634,
        0.113318,
        0.136193,
        0.138913,
        0.133576,
        0.144535,
        0.151769,
        0.166586,
        0.196299,
        0.219303,
        0.255551,
        0.29264,
        0.236673,
        0.219254,
        0.207997,
        0.17578,
        0.15588,
        0.147223,
        0.144224,
        0.138097,
        0.12903,
        0.120744,
        0.115174,
        0.114881,
        0.107244,
        0.0981269,
        0.0991264,
        0.0969518,
        0.093101,
        0.0912304,
        0.0898985,
        0.0898147,
        0.0915199,
        0.0881923,
        0.0843929,
        0.0839091,
        0.0820396,
        0.0803568,
        0.0793901,
        0.0778132,
        0.0773211,
        0.0775482,
        0.0772634,
        0.0761199,
        0.0751705,
        0.0768166,
        0.078552,
        0.0877324,
        0.0877845,
        0.0814688,
        0.0810495,
        0.0832175,
        0.0847931,
        0.0846561,
        0.0891426,
        0.0945046,
        0.100539,
        0.103135,
        0.107985,
        0.110185,
        0.111074,
        0.111438,
        0.10564,
        0.100253,
        0.0977254,
        0.096415,
        0.0963638,
        0.092389,
        0.0905877,
        0.0900898,
        0.0922783,
        0.0937715,
        0.0893286,
        0.0913489,
        0.0956519,
        0.100383,
        0.0977244,
        0.0983418,
        0.0992075,
        0.103573,
        0.109397,
        0.113554,
        0.121388,
        0.120647,
        0.118883,
        0.123889,
        0.121426,
        0.115105,
        0.120999,
        0.136805,
        0.134635,
        0.126594,
        0.128072,
        0.126161,
        0.128187,
        0.138422,
        0.141927,
        0.139158,
        0.148551,
        0.154712,
        0.159165,
        0.166793,
        0.176412,
        0.176316,
        0.187928,
        0.185705,
        0.197513,
        0.216205,
        0.219562,
        0.235837,
        null,
        0.25767,
        0.219205,
        0.193746,
        0.177298,
        0.169924,
        0.163444,
        0.162277,
        0.158685,
        0.153394,
        0.145081,
        0.142078,
        0.139801,
        0.133659,
        0.126735,
        0.126517,
        0.120927,
        0.119378,
        0.131782,
        0.126447,
        0.111486,
        0.113991,
        0.111701,
        0.105673,
        0.105857,
        0.104699,
        0.101123,
        0.100828,
        0.100523,
        0.100211,
        0.0969267,
        0.0971793,
        0.0963019,
        0.0936663,
        0.0908366,
        0.0912444,
        0.0929454,
        0.0875915,
        0.0845922,
        0.0815925,
        0.0785215,
        0.0777791,
        0.0776541,
        0.0744258,
        0.07228,
        0.0707065,
        0.0697883,
        0.070282,
        0.0739928,
        0.0716875,
        0.0671926,
        0.0654991,
        0.0639978,
        0.0635956,
        0.0636,
        0.0631386,
        0.0622325,
        0.0614616,
        0.0650012,
        0.0642566,
        0.0603825,
        0.0595091,
        0.0586606,
        0.0585473,
        0.0577955,
        0.0571018,
        0.0567839,
        0.0556175,
        0.0546201,
        0.0555572,
        0.0549237,
        0.0546353,
        0.0537994,
        0.0534988,
        0.0543778,
        0.0544738,
        0.0544387,
        0.0534604,
        0.0531067,
        0.0538513,
        0.0555254,
        0.0557435,
        0.0534302,
        0.0535266,
        0.0532411,
        0.0539552,
        0.0534112,
        0.0533844,
        0.0534596,
        0.0540974,
        0.0540662,
        0.0555268,
        0.0577994,
        0.0585858,
        0.0597438,
        0.0628385,
        0.0661121,
        0.0600895,
        0.0545199,
        0.0531885,
        0.051863,
        0.0522725,
        0.0518965,
        0.0509037,
        0.0494677,
        0.0495686,
        0.0499445,
        0.0487222,
        0.0479521,
        0.0475171,
        0.0468964,
        0.0468691,
        0.0464832,
        0.0460095,
        0.0458564,
        0.0463994,
        0.0459717,
        0.0457472,
        0.0450615,
        0.0447263,
        0.0441379,
        0.0437603,
        0.0440954,
        0.0446637,
        0.044327,
        0.0437745,
        0.0433399,
        0.0434858,
        0.0433865,
        0.042997,
        0.0448664,
        0.046794,
        0.0446523,
        0.0424412,
        0.0425633,
        0.0429558,
        0.0426321,
        0.0425153,
        0.0427079,
        0.0430065,
        0.0426347,
        0.0425018,
        0.0424594,
        0.0423451,
        0.0423516,
        0.0423621,
        0.0428931,
        0.0434641,
        0.0431685,
        0.0422678,
        0.0423599,
        0.0424117,
        0.0421305,
        0.0424059,
        0.0423962,
        0.0423509,
        0.0425128,
        0.0433021,
        0.0432704,
        0.0422933,
        0.0420819,
        0.0421769,
        0.0423595,
        0.0426742,
        0.0436891,
        0.0450083,
        0.0435269,
        0.0419351,
        0.0421119,
        0.0424942,
        0.0445907,
        0.0457418,
        0.0436521,
        0.0425932,
        0.0425632,
        0.0425613,
        0.0423389,
        0.0414129,
        0.0408409,
        0.0407462,
        0.0408229,
        0.0405216,
        0.0400404,
        0.0401013,
        0.0400511,
        0.0400422,
        0.0400485,
        0.0424825,
        0.0447992,
        0.0412359,
        0.0385095,
        0.0382114,
        0.0384283,
        0.0400658,
        0.0424408,
        0.0410486,
        0.0389741,
        0.038587,
        0.0383397,
        0.0418328,
        0.0455895,
        0.0408416,
        0.0380664,
        0.038476,
        0.0390665,
        0.0401721,
        0.039756,
        0.0386376,
        0.0386861,
        0.038575,
        0.0387743,
        0.0407367,
        0.0408781,
        0.0391461,
        0.0388701,
        0.0395694,
        0.0394232,
        0.0398349,
        0.0400167,
        0.0401386,
        0.0401791,
        0.0398795,
        0.0397901,
        0.0400326,
        0.0400443,
        0.0399651,
        0.0406068,
        0.0401294,
        0.0400892,
        0.0401144,
        0.0396547,
        0.0402096,
        0.0401974,
        0.0400999,
        0.0404026,
        0.0397068,
        0.0397365,
        0.0402211,
        0.0414931,
        0.0407604,
        0.0393907,
        0.0397416,
        0.0397115,
        0.0394582,
        0.0394164,
        0.0392608,
        0.0391121,
        0.0390985,
        0.0389103,
        0.0387237,
        0.0385577,
        0.0382127,
        0.0384993,
        0.038281,
        0.0382304,
        0.0390205,
        0.0387247,
        0.0381558,
        0.0383325,
        0.0383198,
        0.0387413,
        0.038424,
        0.0388093,
        0.039456,
        0.0387769,
        0.0382031,
        0.0388652,
        0.0389311,
        0.038399,
        0.0400374,
        0.0430234,
        0.040588,
        0.0385396,
        0.0386695,
        0.0388569,
        0.0391952,
        0.0392948,
        0.0395779,
        0.0395436,
        0.0395628,
        0.0397289,
        0.0406617,
        0.0412633,
        0.040993,
        0.0434016,
        0.0439997,
        0.0425173,
        0.0420271,
        0.0414346,
        0.0415086,
        0.0419721,
        0.0428859,
        0.0437645,
        0.0443344,
        0.0455962,
        0.0469884,
        0.0477883,
        0.0485718,
        0.0482876,
        0.046841,
        0.0457479,
        0.044887,
        0.0439331,
        0.0428318,
        0.0431161,
        0.0430524,
        0.0423354,
        0.0423492,
        0.0430347,
        0.0430179,
        0.0440563,
        0.0448503,
        0.0434577,
        0.0424594,
        0.0421371,
        0.0422877,
        0.0419684,
        0.0419086,
        0.041331,
        0.0407453,
        0.0409529,
        0.0410662,
        0.0406296,
        0.0411875,
        0.0439774,
        0.044761,
        0.0417874,
        0.0394154,
        0.0394314,
        0.0398604,
        0.0399993,
        0.039965,
        0.0398303,
        0.0398379,
        0.0394059,
        0.0394352,
        0.039548,
        0.0394196,
        0.039279,
        0.0396457,
        0.0399401,
        0.0398168,
        0.0398793,
        0.0397596,
        0.0396842,
        0.0398569,
        0.0411398,
        0.0438598,
        0.0465062,
        0.0433882,
        0.0410652,
        0.041326,
        0.0435509,
        0.0461183,
        0.0437374,
        0.0409647,
        0.0411873,
        0.0418826,
        0.0422218,
        0.0420429,
        0.0418641,
        0.0416894,
        0.0421946,
        0.0421032,
        0.0423433,
        0.0426377,
        0.0428211,
        0.042502,
        0.042635,
        0.0428835,
        0.0423788,
        0.0431062,
        0.0433286,
        0.0423975,
        0.0421994,
        0.0424671,
        0.0426195,
        0.0426896,
        0.0428692,
        0.0434389,
        0.04333,
        0.0430887,
        0.0426897,
        0.042444,
        0.0426664,
        0.0431823,
        0.0432151,
        0.043783,
        0.0440441,
        0.043157,
        0.0429771,
        0.0431034,
        0.043179,
        0.043731,
        0.0438285,
        0.043303,
        0.0432937,
        0.0431225,
        0.0434808,
        0.0444932,
        0.0455502,
        0.0459567,
        0.0445476,
        0.0448885,
        0.0454469,
        0.0457973,
        0.0464935,
        0.0466718,
        0.0464819,
        0.0458944,
        0.0463481,
        0.0470574,
        0.049544,
        0.051078,
        0.0501227,
        0.0492178,
        0.0501936,
        0.0499902,
        0.0502001,
        0.0517462,
        0.052895,
        0.053036,
        0.0538948,
        0.0549179,
        0.0557527,
        0.0586026,
        0.0589916,
        0.0610417,
        0.0618876,
        0.064381,
        0.0669047,
        0.0699312,
        0.0717665,
        0.0761298,
        0.0800267,
        0.0865279,
        0.0986512,
        0.118532,
        0.120166,
        0.120825,
        0.138478,
        0.152784,
        0.171219,
        0.2107,
        0.252809,
        0.227595,
        0.203924,
        0.180222,
        0.16113,
        0.142371,
        0.124839,
        0.10921,
        0.0999573,
        0.0912729,
        0.0855384,
        0.0800771,
        0.0767515,
        0.0722271,
        0.0690716,
        0.0658616,
        0.0656264,
        0.0644706,
        0.0600924,
        0.0600757,
        0.0590772,
        0.0570972,
        0.0556534,
        0.054771,
        0.0544386,
        0.0537203,
        0.0533951,
        0.0530127,
        0.0522568,
        0.0524136,
        0.0517463,
        0.0517064,
        0.0532756,
        0.0519002,
        0.0510067,
        0.0517907,
        0.0523857,
        0.0505637,
        0.0505705,
        0.0505379,
        0.0507162,
        0.0509487,
        0.0504967,
        0.0507277,
        0.0514996,
        0.0518811,
        0.0521153,
        0.0523666,
        0.0536846,
        0.054169,
        0.0533233,
        0.0537346,
        0.0546044,
        0.0556745,
        0.0554684,
        0.0555164,
        0.0548707,
        0.0543884,
        0.0534004,
        0.0519072,
        0.0515584,
        0.0512057,
        0.0511038,
        0.0519567,
        0.0521175,
        0.0509912,
        0.0511619,
        0.0495478,
        0.0503466,
        0.0504446,
        0.0503082,
        0.0500966,
        0.0492104,
        0.0512919,
        0.0514268,
        0.0507678,
        0.0506468,
        0.0496838,
        0.0497539,
        0.0504147,
        0.0509256,
        0.0499489,
        0.0500032,
        0.0508484,
        0.0513222,
        0.0507525,
        0.0510261,
        0.0519856,
        0.0523605,
        0.0516362,
        0.0521221,
        0.0523538,
        0.0516075,
        0.0525961,
        0.0552663,
        0.0546088,
        0.0532194,
        0.062721,
        0.0618136,
        0.0576225,
        0.0586506,
        0.0564381,
        0.0562302,
        0.0572951,
        0.056578,
        0.054843,
        0.0542771,
        0.0552763,
        0.0560606,
        0.0570371,
        0.0578432,
        0.058885,
        0.060868,
        0.0629789,
        0.0669293,
        0.0708694,
        0.0742434,
        0.0752099,
        0.0731011,
        0.0711441,
        0.0692359,
        0.0684179,
        0.06908,
        0.07283,
        0.074114,
        0.0765129,
        0.0962686,
        0.0968685,
        0.0924935,
        0.0964882,
        0.100855,
        0.100635,
        0.10059,
        0.0969931,
        0.0938632,
        0.0905601,
        0.0828165,
        0.0786707,
        0.0757885,
        0.0722151,
        0.0683418,
        0.0657653,
        0.0695024,
        0.0680134,
        0.0614169,
        0.0601087,
        0.0605622,
        0.0686295,
        0.0684607,
        0.0754964,
        0.0716088,
        0.0563928,
        0.0550911,
        0.0551909,
        0.0551418,
        0.0557257,
        0.0548412,
        0.0544259,
        0.0545024,
        0.0545107,
        0.056304,
        0.0596085,
        0.0600163,
        0.0543876,
        0.0545989,
        0.0555193,
        0.0555833,
        0.0572283,
        0.0638634,
        0.0641076,
        0.0562744,
        0.0565745,
        0.0575725,
        0.0562323,
        0.0573225,
        0.0577425,
        0.0573934,
        0.0569256,
        0.057273,
        0.058455,
        0.057799,
        0.0575687,
        0.0583569,
        0.0576059,
        0.0583442,
        0.0583752,
        0.0609909,
        0.0672764,
        0.0657657,
        0.0592398,
        0.0604072,
        0.0612522,
        0.0608646,
        0.0611545,
        0.0616449,
        0.0629198,
        0.0637698,
        0.0634281,
        0.0628222,
        0.0625116,
        0.0645878,
        0.0645953,
        0.0640219,
        0.070396,
        0.073542,
        0.068123,
        0.0671985,
        0.0682839,
        0.0691829,
        0.0700362,
        0.0732257,
        0.0747939,
        0.0767668,
        0.0793019,
        0.0833833,
        0.0874276,
        0.0923235,
        0.0915872,
        0.0934362,
        0.100658,
        0.117671,
        0.115002,
        0.0980262,
        0.0996521,
        0.106443,
        0.111065,
        0.111587,
        0.115153,
        0.118053,
        0.13086,
        0.143198,
        0.155325,
        0.170712,
        0.187003,
        0.223247,
        0.257892,
        0.261308,
        0.239814,
        0.217426,
        0.19127,
        0.173027,
        0.161214,
        0.139504,
        0.127808,
        0.121489,
        0.115748,
        0.104875,
        0.101319,
        0.0984532,
        0.0985928,
        0.0934197,
        0.0892882,
        0.0866038,
        0.0841203,
        0.0830009,
        0.0791941,
        0.0788305,
        0.0763742,
        0.0757145,
        0.0744805,
        0.073481,
        0.0716762,
        0.071758,
        0.069999,
        0.0680546,
        0.067434,
        0.0672378,
        0.0696713,
        0.067891,
        0.0651505,
        0.065283,
        0.0647689,
        0.0728123,
        0.0711389,
        0.0623061,
        0.0616091,
        0.0622104,
        0.0633168,
        0.0615759,
        0.0613629,
        0.0623928,
        0.0618189,
        0.0623794,
        0.0627808,
        0.0631743,
        0.060825,
        0.0608939,
        0.0630307,
        0.0609688,
        0.0607024,
        0.0605306,
        0.0614877,
        0.0610766,
        0.060568,
        0.0619211,
        0.0627347,
        0.0622654,
        0.0623493,
        0.0613482,
        0.0621289,
        0.0613709,
        0.0600767,
        0.0614861,
        0.0625476,
        0.0614412,
        0.061287,
        0.0613795,
        0.0615918,
        0.0624203,
        0.0630802,
        0.0627107,
        0.0624604,
        0.0632002,
        0.0632699,
        0.0669402,
        0.0681763,
        0.0644456,
        0.0641393,
        0.063267,
        0.0638983,
        0.0708668,
        0.0745664,
        0.0647526,
        0.0642892,
        0.0644877,
        0.0637077,
        0.0638187,
        0.0650689,
        0.0733414,
        0.0716259,
        0.0638126,
        0.0716199,
        0.0718906,
        0.0629769,
        0.0624207,
        0.0632953,
        0.0640902,
        0.0632311,
        0.0625965,
        0.0726361,
        0.0701333,
        0.0621839,
        0.0633022,
        0.0633886,
        0.0638577,
        0.0623526,
        0.0615745,
        0.0622895,
        0.0638497,
        0.0629817,
        0.062948,
        0.0641883,
        0.0643461,
        0.0638971,
        0.063523,
        0.062467,
        0.0648358,
        0.0674142,
        0.0674196,
        0.0653638,
        0.0644099,
        0.0641122,
        0.0649199,
        0.0663233,
        0.0668387,
        0.0675675,
        0.0793472,
        0.0782047,
        0.067796,
        0.0679297,
        0.0739779,
        0.0752693,
        0.068579,
        0.0689223,
        0.0694108,
        0.0716873,
        0.0717086,
        0.0707352,
        0.0712862,
        0.0731215,
        0.0731245,
        0.073003,
        0.0735468,
        0.0716309,
        0.073108,
        0.0745431,
        0.0755527,
        0.0746769,
        0.0756753,
        0.0743127,
        0.0747742,
        0.0770842,
        0.076012,
        0.0767777,
        0.0767395,
        0.0770919,
        0.0768478,
        0.078253,
        0.0765557,
        0.0781251,
        0.0822648,
        0.0819343,
        0.0772971,
        0.0787941,
        0.0771009,
        0.0776961,
        0.0773878,
        0.0787453,
        0.0784526,
        0.0787123,
        0.0793426,
        0.0813293,
        0.0819957,
        0.0781359,
        0.07954,
        0.0802631,
        0.0814955,
        0.0818337,
        0.0831451,
        0.082577,
        0.0819121,
        0.0811568,
        0.0812856,
        0.0827136,
        0.0862032,
        0.0862005,
        0.0829257,
        0.0843716,
        0.0853112,
        0.0858028,
        0.0859975,
        0.0873877,
        0.090922,
        0.0890987,
        0.0879065,
        0.0877001,
        0.088547,
        0.0900621,
        0.0919141,
        0.0938459,
        0.0914944,
        0.0904917,
        0.0924522,
        0.0957042,
        0.0957189,
        0.0971925,
        0.0981636,
        0.0973132,
        0.0977271,
        0.0980969,
        0.0984927,
        0.100531,
        0.10339,
        0.103956,
        0.103331,
        0.102776,
        0.103328,
        0.105741,
        0.106437,
        0.106462,
        0.107434,
        0.111606,
        0.111708,
        0.111893,
        0.113429,
        0.115545,
        0.112846,
        0.114479,
        0.114449,
        0.115274,
        0.113885,
        0.114715,
        0.121059,
        0.122531,
        0.120232,
        0.122019,
        0.121057,
        0.119797,
        0.120099,
        0.126505,
        0.128473,
        0.121598,
        0.122634,
        0.126922,
        0.129378,
        0.126595,
        0.128446,
        0.13046,
        0.128555,
        0.137676,
        0.133963,
        0.128619,
        0.145636,
        0.151088,
        0.136391,
        0.1336,
        0.138801,
        0.148343,
        0.150094,
        0.150057,
        0.149699,
        0.143334,
        0.146754,
        0.152366,
        0.148284,
        0.151446,
        0.152921,
        0.161516,
        0.164705,
        0.163812,
        0.167658,
        0.172561,
        0.178262,
        0.178002,
        0.184748,
        0.189439,
        0.194058,
        0.195972,
        0.219519,
        0.228936,
        0.221193,
        0.213375,
        0.203451,
        0.20502,
        0.218728,
        0.224097,
        0.233805,
        0.245795,
        0.247048,
        0.251171,
        0.237622,
        null,
        0.296344,
        0.308047,
        0.256127,
        0.2492,
        0.254665,
        0.230349,
        0.229981,
        0.234412,
        0.219337,
        0.218488,
        0.21292,
        0.217257,
        0.229362,
        0.194533,
        0.20657,
        0.231208,
        0.218736,
        0.179527,
        0.194936,
        0.206406,
        0.186185,
        0.181043,
        0.192641,
        0.186032,
        0.181154,
        0.176379,
        0.173091,
        0.169064,
        0.167235,
        0.162829,
        0.154184,
        0.154406,
        0.166782,
        0.160299,
        0.166826,
        0.156434,
        0.146062,
        0.153574,
        0.158371,
        0.150663,
        0.142534,
        0.152972,
        0.155178,
        0.153803,
        0.151522,
        0.150423,
        0.142091,
        0.142916,
        0.141152,
        0.145286,
        0.145991,
        0.139299,
        0.13478,
        0.13632,
        0.134476,
        0.132718,
        0.129262,
        0.130692,
        0.131493,
        0.133014,
        0.130584,
        0.126396,
        0.128593,
        0.132395,
        0.127526,
        0.124495,
        0.124858,
        0.125244,
        0.127146,
        0.126707,
        0.12813,
        0.127762,
        0.122029,
        0.118756,
        0.122227,
        0.123972,
        0.120202,
        0.119892,
        0.123621,
        0.124222,
        0.119725,
        0.119226,
        0.114897,
        0.123105,
        0.134295,
        0.128224,
        0.121082,
        0.120217,
        0.120781,
        0.119435,
        0.120653,
        0.126017,
        0.143666,
        0.154403,
        0.176636,
        0.201128,
        0.240664,
        0.191301,
        0.165397,
        0.143585,
        0.131905,
        0.124934,
        0.119786,
        0.117289,
        0.114852,
        0.108823,
        0.106765,
        0.103048,
        0.0992978,
        0.0987537,
        0.102141,
        0.100568,
        0.0978078,
        0.0962334,
        0.0952383,
        0.0988835,
        0.0962009,
        0.0953392,
        0.0935168,
        0.0932115,
        0.0928239,
        0.0928697,
        0.0997925,
        0.0938048,
        0.0929294,
        0.0917949,
        0.091072,
        0.089843,
        0.0882653,
        0.0894196,
        0.090477,
        0.0886111,
        0.0884257,
        0.0880706,
        0.0884417,
        0.0835522,
        0.0840009,
        0.0835462,
        0.0836983,
        0.085058,
        0.0835035,
        0.082727,
        0.0831957,
        0.0830647,
        0.0824801,
        0.0813853,
        0.0803448,
        0.0786965,
        0.0786417,
        0.0793016,
        0.0788428,
        0.0784122,
        0.0799316,
        0.0792892,
        0.0780864,
        0.0795621,
        0.0789101,
        0.0786545,
        0.078365,
        0.0775934,
        0.077298,
        0.0778049,
        0.0782423,
        0.0762753,
        0.0760528,
        0.0752271,
        0.0780669,
        0.0821451,
        0.0811719,
        0.0785949,
        0.0804554,
        0.0810679,
        0.0819001,
        0.0833817,
        0.0822954,
        0.0822666,
        0.0846907,
        0.085953,
        0.0874047,
        0.087464,
        0.0865141,
        0.0844463,
        0.0817181,
        0.0802133,
        0.0773581,
        0.0797011,
        0.0798523,
        0.0785721,
        0.0777266,
        0.0770765,
        0.077964,
        0.0773399,
        0.0776667,
        0.0822535,
        0.0796013,
        0.0744824,
        0.0747641,
        0.0752226,
        0.075084,
        0.0748912,
        0.0749744,
        0.0741768,
        0.074385,
        0.0748731,
        0.0761838,
        0.0768746,
        0.0769082,
        0.077427,
        0.079055,
        0.079446,
        0.0778614,
        0.0819727,
        0.0820298,
        0.0840285,
        0.0858112,
        0.0854326,
        0.0871936,
        0.0907621,
        0.0948465,
        0.100149,
        0.103908,
        0.112661,
        0.122639,
        0.136538,
        0.147703,
        0.165133,
        0.191509,
        0.201021,
        0.198326,
        0.194689,
        0.181074,
        0.165544,
        0.147639,
        0.128295,
        0.125196,
        0.112817,
        0.106165,
        0.100052,
        0.0970954,
        0.0924053,
        0.0863404,
        0.0852729,
        0.0842176,
        0.0810066,
        0.0796437,
        0.0777379,
        0.0773221,
        0.0743313,
        0.0738067,
        0.0739221,
        0.0737349,
        0.075293,
        0.0738014,
        0.0718439,
        0.0723408,
        0.0697069,
        0.0709786,
        0.0704362,
        0.0686408,
        0.0697436,
        0.0684546,
        0.0674995,
        0.0670105,
        0.0665602,
        0.0662012,
        0.0662286,
        0.0665488,
        0.0668936,
        0.0674442,
        0.0677473,
        0.0694068,
        0.0708286,
        0.0743179,
        0.0773115,
        0.0786406,
        0.0795137,
        0.0824035,
        0.0842175,
        0.0876534,
        0.0949242,
        0.0951459,
        0.0881417,
        0.0859276,
        0.0823145,
        0.0768687,
        0.0735383,
        0.0721815,
        0.0693958,
        0.0672392,
        0.0678381,
        0.0666777,
        0.0643651,
        0.0677778,
        0.069499,
        0.0701139,
        0.0688187,
        0.0627707,
        0.0615217,
        0.0608105,
        0.0609807,
        0.0607315,
        0.0610032,
        0.0602349,
        0.0619253,
        0.0712603,
        0.0686314,
        0.0612672,
        0.0600814,
        0.0599599,
        0.0599191,
        0.0604609,
        0.0601821,
        0.0604034,
        0.060867,
        0.060501,
        0.0598224,
        0.0603462,
        0.0601018,
        0.0596571,
        0.0588126,
        0.0588818,
        0.0593571,
        0.0600781,
        0.0599902,
        0.059207,
        0.0588236,
        0.0582864,
        0.0593647,
        0.0589475,
        0.0585373,
        0.0582683,
        0.0591956,
        0.0588704,
        0.059259,
        0.064553,
        0.0624969,
        0.0578316,
        0.0570784,
        0.0573567,
        0.0569396,
        0.0561434,
        0.0564592,
        0.0569801,
        0.0573377,
        0.0561767,
        0.0564194,
        0.0572919,
        0.0573944,
        0.0572614,
        0.05753,
        0.0582743,
        0.0592895,
        0.0602831,
        0.0606324,
        0.0613401,
        0.064724,
        0.0634544,
        0.0626913,
        0.0646445,
        0.064291,
        0.067262,
        0.0701819,
        0.0724465,
        0.0776971,
        0.0868742,
        0.101379,
        0.12374,
        0.156904,
        0.227243,
        0.300443,
        0.199836,
        0.154857,
        0.118164,
        0.0985057,
        0.0883378,
        0.0780381,
        0.072615,
        0.0707538,
        0.0679676,
        0.0661744,
        0.0651762,
        0.063846,
        0.0635693,
        0.0624801,
        0.0618296,
        0.0611441,
        0.0601795,
        0.0593918,
        0.0588316,
        0.0585943,
        0.0587333,
        0.0575563,
        0.0576779,
        0.0578908,
        0.0574102,
        0.0572173,
        0.0565579,
        0.0559232,
        0.0557054,
        0.0569629,
        0.0567966,
        0.0557934,
        0.0553396,
        0.0556985,
        0.0558041,
        0.0565026,
        0.0550787,
        0.0554759,
        0.0559172,
        0.0554592,
        0.0567616,
        0.0567028,
        0.0564427,
        0.0560177,
        0.0565003,
        0.0577783,
        0.0572437,
        0.0570768,
        0.0578134,
        0.0585688,
        0.0584348,
        0.058592,
        0.0579088,
        0.0588628,
        0.0589905,
        0.0594135,
        0.0595851,
        0.0601756,
        0.0603594,
        0.0595771,
        0.0601717,
        0.0615133,
        0.0612444,
        0.062444,
        0.0626285,
        0.0620405,
        0.0625155,
        0.0643272,
        0.064828,
        0.0664944,
        0.0667057,
        0.0684076,
        0.0716943,
        0.0751065,
        0.0763247,
        0.0823529,
        0.088793,
        0.0941078,
        0.102626,
        0.109872,
        0.107332,
        0.114142,
        0.123004,
        0.129232,
        0.137862,
        0.145277,
        0.146194,
        0.14425,
        0.143873,
        0.140558,
        0.129472,
        0.124955,
        0.123063,
        0.119146,
        0.114922,
        0.110219,
        0.105315,
        0.0975874,
        0.0871746,
        0.0836042,
        0.0798365,
        0.0798591,
        0.0770165,
        0.0754817,
        0.0762106,
        0.0774872,
        0.0800668,
        0.0831516,
        0.0873382,
        0.0940686,
        0.116505,
        0.122491,
        0.109055,
        0.107496,
        0.106657,
        0.0952056,
        0.0885743,
        0.0832889,
        0.0800638,
        0.0753728,
        0.0716323,
        0.0686011,
        0.0651833,
        0.0634829,
        0.0631511,
        0.0627147,
        0.060106,
        0.060877,
        0.0596989,
        0.0587297,
        0.0576559,
        0.0580629,
        0.057545,
        0.0576801,
        0.0576161,
        0.0569283,
        0.0595178,
        0.0646611,
        0.0602885,
        0.0554613,
        0.05587,
        0.0554792,
        0.0549362,
        0.0558597,
        0.0555586,
        0.0549072,
        0.0545319,
        0.055105,
        0.0554231,
        0.0545709,
        0.0551612,
        0.0552645,
        0.0556661,
        0.0553352,
        0.0555034,
        0.0548701,
        0.0551234,
        0.053954,
        0.0537817,
        0.0540658,
        0.0535429,
        0.0525583,
        0.0518686,
        0.0522319,
        0.0511685,
        0.051277,
        0.0516018,
        0.0514454,
        0.0517716,
        0.052076,
        0.0514905,
        0.0510204,
        0.0508854,
        0.0505465,
        0.0511898,
        0.0517647,
        0.0520777,
        0.0509174,
        0.0510595,
        0.0525961,
        0.0539315,
        0.0549312,
        0.0555684,
        0.0554775,
        0.0568317,
        0.0596474,
        0.0625455,
        0.0656139,
        0.0686892,
        0.0666982,
        0.0640869,
        0.0630583,
        0.0606601,
        0.0578024,
        0.0577699,
        0.0567141,
        0.0554877,
        0.0550504,
        0.0551788,
        0.0542801,
        0.0564178,
        0.0557368,
        0.0531481,
        0.0527883,
        0.0526074,
        0.0535168,
        0.0537519,
        0.0533636,
        0.0531889,
        0.054672,
        0.0545208,
        0.0520333,
        0.0524924,
        0.0522202,
        0.0518192,
        0.0518459,
        0.0517086,
        0.0525276,
        0.0513314,
        0.0502471,
        0.0511901,
        0.0516965,
        0.0524012,
        0.0516321,
        0.0507844,
        0.0512741,
        0.0518676,
        0.0515005,
        0.0508239,
        0.0514303,
        0.0516797,
        0.0512098,
        0.050791,
        0.050694,
        0.0503161,
        0.0505803,
        0.050199,
        0.0498414,
        0.049257,
        0.0494586,
        0.0504864,
        0.0512228,
        0.051111,
        0.0521897,
        0.0507474,
        0.0503727,
        0.0506759,
        0.0503264,
        0.0506269,
        0.0513254,
        0.0508038,
        0.0515596,
        0.051397,
        0.0517951,
        0.0520577,
        0.0528311,
        0.0528742,
        0.0527286,
        0.054051,
        0.0546831,
        0.0543938,
        0.0553564,
        0.0546984,
        0.053819,
        0.0527655,
        0.0526632,
        0.0534384,
        0.053498,
        0.05319,
        0.0530581,
        0.0524929,
        0.0526809,
        0.0526269,
        0.0531391,
        0.0522103,
        0.052688,
        0.0533089,
        0.0525168,
        0.0520689,
        0.0517637,
        0.0518558,
        0.0519123,
        0.0527482,
        0.0521391,
        0.0508945,
        0.05106,
        0.0514317,
        0.053485,
        0.0540735,
        0.0526673,
        0.0520341,
        0.0537136,
        0.0531767,
        0.0527944,
        0.0531223,
        0.0522302,
        0.0520049,
        0.0523005,
        0.0509743,
        0.0506649,
        0.0500051,
        0.0499759,
        0.0505225,
        0.0505539,
        0.0504663,
        0.0503316,
        0.0504232,
        0.0506241,
        0.0506957,
        0.0511729,
        0.0525852,
        0.0532205,
        0.0537859,
        0.0544655,
        0.0565626,
        0.0595754,
        0.064564,
        0.0725715,
        0.0837311,
        0.0976972,
        0.11514,
        0.123276,
        0.117006,
        0.10178,
        0.0864729,
        0.0769356,
        0.0695124,
        0.0664848,
        0.0668066,
        0.0621143,
        0.0578887,
        0.0590366,
        0.0628994,
        0.0583758,
        0.0549355,
        0.0548129,
        0.0537386,
        0.0539537,
        0.0536245,
        0.0542286,
        0.0532166,
        0.0531434,
        0.0532836,
        0.0534115,
        0.0536675,
        0.0541451,
        0.0541128,
        0.0536116,
        0.0534899,
        0.0549523,
        0.055107,
        0.0558629,
        0.0560749,
        0.057994,
        0.0587152,
        0.0588754,
        0.0580705,
        0.0571468,
        0.0562021,
        0.0555103,
        0.0539953,
        0.0530987,
        0.0533835,
        0.0522736,
        0.052034,
        0.0522405,
        0.0525739,
        0.0522209,
        0.0521065,
        0.0531915,
        0.0533913,
        0.0529954,
        0.0533848,
        0.054382,
        0.0549846,
        0.0560008,
        0.0559929,
        0.0578204,
        0.0597189,
        0.0616397,
        0.0641948,
        0.0676123,
        0.0733968,
        0.0765843,
        0.0748943,
        0.0741366,
        0.0706462,
        0.0711706,
        0.0699559,
        0.0654896,
        0.0610138,
        0.0589654,
        0.0582294,
        0.0576694,
        0.0573076,
        0.0573741,
        0.0577999,
        0.0575634,
        0.0569151,
        0.0563954,
        0.0573941,
        0.057066,
        0.0568528,
        0.0570888,
        0.059222,
        0.0602624,
        0.0593232,
        0.061954,
        0.0652881,
        0.0679816,
        0.0704669,
        0.0711147,
        0.0698634,
        0.0673429,
        0.0648052,
        0.0621454,
        0.059974,
        0.0593034,
        0.0593931,
        0.058969,
        0.0583547,
        0.0571671,
        0.0570682,
        0.0580173,
        0.0570725,
        0.0561749,
        0.0566621,
        0.0576777,
        0.0626691,
        0.0596738,
        0.0597572,
        0.0627038,
        0.0628909,
        0.0627786,
        0.0668392,
        0.0719117,
        0.0742647,
        0.0732927,
        0.0734255,
        0.07289,
        0.0699977,
        0.0660794,
        0.0629453,
        0.0624527,
        0.0625166,
        0.0608743,
        0.0600406,
        0.0597471,
        0.0595201,
        0.0589258,
        0.0613718,
        0.0608982,
        0.0632959,
        0.0696822,
        0.0666852,
        0.0624501,
        0.0652077,
        0.0679366,
        0.0732935,
        0.0770245,
        0.0771791,
        0.0838145,
        0.0879508,
        0.0913083,
        0.088686,
        0.0822295,
        0.0785564,
        0.0749508,
        0.0714606,
        0.0690161,
        0.0684135,
        0.0660338,
        0.0666539,
        0.0661105,
        0.0670382,
        0.0674383,
        0.0669559,
        0.0676458,
        0.0686022,
        0.0690232,
        0.0704038,
        0.07223,
        0.0758529,
        0.0813055,
        0.0875711,
        0.0942605,
        0.101463,
        0.105288,
        0.105073,
        0.10046,
        0.0926076,
        0.0822376,
        0.0778757,
        0.0803719,
        0.0861794,
        0.0811566,
        0.0728961,
        0.0720955,
        0.0727422,
        0.0749351,
        0.0763926,
        0.0880146,
        0.0941911,
        0.0880411,
        0.0855976,
        0.0887933,
        0.0947782,
        0.104808,
        0.114319,
        0.120961,
        0.12373,
        0.11755,
        0.110282,
        0.106736,
        0.100978,
        0.0977578,
        0.0953613,
        0.0936296,
        0.0904802,
        0.0906689,
        0.0930366,
        0.0942962,
        0.0954124,
        0.0986986,
        0.105281,
        0.110565,
        0.114814,
        0.11811,
        0.130976,
        0.15207,
        0.174149,
        0.187265,
        0.180291,
        0.170468,
        0.156325,
        0.150614,
        0.148402,
        0.136648,
        0.132699,
        0.131847,
        0.134897,
        0.146094,
        0.150434,
        0.155025,
        0.153477,
        0.155655,
        0.183467,
        0.201894,
        0.219864,
        0.2805,
        0.308687,
        0.288606,
        0.280973,
        0.25221,
        0.250335,
        null,
        0.202003,
        0.181042,
        0.160844,
        0.155583,
        0.15253,
        0.153426,
        0.17177,
        0.180254,
        0.192035,
        0.200741,
        0.215466,
        0.208613,
        0.188549,
        0.171766,
        0.153714,
        0.140712,
        0.132722,
        0.122453,
        0.113545,
        0.10297,
        0.0982708,
        0.0959963,
        0.0943762,
        0.0906891,
        0.09154,
        0.0912369,
        0.0918279,
        0.094285,
        0.0941252,
        0.092631,
        0.0951902,
        0.0980884,
        0.103159,
        0.108374,
        0.114459,
        0.121658,
        0.133546,
        0.149727,
        0.158247,
        0.1838,
        0.216879,
        0.267531,
        0.325975,
        0.227706,
        0.209711,
        0.173977,
        0.154529,
        0.138992,
        0.124526,
        0.114904,
        0.109678,
        0.101004,
        0.0981886,
        0.0928449,
        0.0927739,
        0.0910349,
        0.0853329,
        0.0811452,
        0.0798964,
        0.0773979,
        0.0751656,
        0.0748872,
        0.073163,
        0.0727947,
        0.0700202,
        0.0695692,
        0.0683852,
        0.0666121,
        0.0672819,
        0.066376,
        0.0662781,
        0.0643403,
        0.0642491,
        0.0638623,
        0.0638082,
        0.0632799,
        0.0602823,
        0.0615332,
        0.0604134,
        0.0597962,
        0.060317,
        0.0599568,
        0.0600404,
        0.0595404,
        0.0623924,
        0.0662141,
        0.0644765,
        0.0594581,
        0.0592235,
        0.0594337,
        0.0591303,
        0.0598286,
        0.0593231,
        0.0583286,
        0.058299,
        0.0579172,
        0.0584878,
        0.0581353,
        0.0587381,
        0.060235,
        0.0613886,
        0.0590131,
        0.0577755,
        0.058398,
        0.0583076,
        0.0599075,
        0.0614885,
        0.0602197,
        0.0580008,
        0.0580832,
        0.0586324,
        0.0617716,
        0.0637092,
        0.0611519,
        0.05856,
        0.0589975,
        0.0592971,
        0.059163,
        0.059134,
        0.0585335,
        0.058263,
        0.0578016,
        0.0589728,
        0.0590001,
        0.0581486,
        0.0587675,
        0.059008,
        0.0582416,
        0.0581238,
        0.0581226,
        0.0571834,
        0.0569421,
        0.0567277,
        0.0583659,
        0.0576551,
        0.0576052,
        0.0570646,
        0.0568204,
        0.0566279,
        0.0570363,
        0.0584043,
        0.0563173,
        0.0552597,
        0.0556856,
        0.055795,
        0.0557922,
        0.056407,
        0.0563203,
        0.0553201,
        0.0550259,
        0.0554797,
        0.0553359,
        0.05526,
        0.0568236,
        0.0573727,
        0.0580658,
        0.0559546,
        0.0548583,
        0.0552332,
        0.0549717,
        0.0547417,
        0.0544219,
        0.0556085,
        0.0550621,
        0.0555097,
        0.0557754,
        0.05581,
        0.0557993,
        0.0566245,
        0.0558188,
        0.0573882,
        0.0572957,
        0.0564004,
        0.0584989,
        0.0659727,
        0.0629412,
        0.0572141,
        0.0565098,
        0.0572321,
        0.0580166,
        0.059928,
        0.0601629,
        0.0600827,
        0.0590746,
        0.0590937,
        0.060339,
        0.060118,
        0.0590496,
        0.0591328,
        0.0603441,
        0.0609506,
        0.0627739,
        0.0638377,
        0.0639984,
        0.0654699,
        0.0657998,
        0.0651776,
        0.064718,
        0.0650836,
        0.0627936,
        0.0610771,
        0.0611285,
        0.0614739,
        0.0616979,
        0.060622,
        0.0600214,
        0.0611024,
        0.0600577,
        0.0598466,
        0.0598551,
        0.0608612,
        0.0604714,
        0.0596903,
        0.0605531,
        0.0601116,
        0.0621603,
        0.063273,
        0.0643355,
        0.0661583,
        0.0650175,
        0.0650767,
        0.0667566,
        0.0662098,
        0.0658708,
        0.0649954,
        0.0638379,
        0.0635906,
        0.0612613,
        0.0623647,
        0.0658022,
        0.0641937,
        0.0598067,
        0.0589659,
        0.0586046,
        0.0601364,
        0.0650866,
        0.0625389,
        0.0593628,
        0.0587132,
        0.0588142,
        0.0594814,
        0.0592589,
        0.0599018,
        0.0595865,
        0.058618,
        0.0595768,
        0.0602223,
        0.0595266,
        0.0591128,
        0.0596631,
        0.0587206,
        0.0597466,
        0.0604139,
        0.0602207,
        0.0601005,
        0.0586895,
        0.0590678,
        0.0593597,
        0.0594165,
        0.0640108,
        0.0667345,
        0.0637461,
        0.0603158,
        0.0603986,
        0.0597787,
        0.059621,
        0.0603755,
        0.0614942,
        0.0675085,
        0.0723701,
        0.0654417,
        0.0600017,
        0.0601381,
        0.0602126,
        0.0590394,
        0.0593248,
        0.0587474,
        0.0596299,
        0.0592417,
        0.058093,
        0.0589054,
        0.0597953,
        0.0586509,
        0.0584655,
        0.0589972,
        0.0592848,
        0.0593103,
        0.0577957,
        0.0577425,
        0.0598292,
        0.0609014,
        0.0593925,
        0.0584878,
        0.0576727,
        0.0585422,
        0.0591218,
        0.0591718,
        0.0583328,
        0.0583135,
        0.057369,
        0.0582211,
        0.0587228,
        0.0654274,
        0.07283,
        0.0630572,
        0.0599213,
        0.0594178,
        0.060086,
        0.0595705,
        0.0590332,
        0.0585187,
        0.0591556,
        0.0603024,
        0.0614985,
        0.0619711,
        0.0608944,
        0.0600528,
        0.0598738,
        0.0615893,
        0.060573,
        0.0599851,
        0.0606148,
        0.0607648,
        0.0612251,
        0.0610295,
        0.0611613,
        0.0616733,
        0.062106,
        0.0627494,
        0.0630152,
        0.0628318,
        0.0643519,
        0.0644279,
        0.0628703,
        0.0621446,
        0.062181,
        0.0629127,
        0.063122,
        0.0639023,
        0.0635571,
        0.0635161,
        0.0645563,
        0.0629496,
        0.0617966,
        0.0612728,
        0.0616606,
        0.0613892,
        0.0624183,
        0.0624668,
        0.0616721,
        0.0628673,
        0.0654642,
        0.065552,
        0.0634524,
        0.0621744,
        0.0612936,
        0.0628608,
        0.0628017,
        0.0626938,
        0.061435,
        0.0624839,
        0.0659586,
        0.0635661,
        0.0611336,
        0.0619995,
        0.0628081,
        0.0634382,
        0.0684793,
        0.0663417,
        0.0627086,
        0.0617063,
        0.0612994,
        0.0616512,
        0.0620863,
        0.0624072,
        0.0632904,
        0.0633781,
        0.0631653,
        0.0629253,
        0.064123,
        0.0643024,
        0.0648091,
        0.0637997,
        0.0641851,
        0.0653604,
        0.0653404,
        0.0664046,
        0.0675458,
        0.0674013,
        0.0669378,
        0.0690094,
        0.06985,
        0.0705577,
        0.0704799,
        0.0725142,
        0.0750114,
        0.0781226,
        0.0810816,
        0.0869614,
        0.0906212,
        0.0932713,
        0.0938652,
        0.092177,
        0.0865215,
        0.0836157,
        0.0806,
        0.077214,
        0.0748013,
        0.0733718,
        0.0725011,
        0.0786522,
        0.075919,
        0.0693434,
        0.0687917,
        0.0671614,
        0.0660205,
        0.0661817,
        0.0665215,
        0.066988,
        0.0674174,
        0.0669463,
        0.0672086,
        0.0656059,
        0.0654811,
        0.0662653,
        0.0661377,
        0.0653753,
        0.0652562,
        0.0647954,
        0.0651055,
        0.0643764,
        0.0638127,
        0.0643165,
        0.0648908,
        0.0647416,
        0.0633734,
        0.0658953,
        0.0734768,
        0.0699933,
        0.0640678,
        0.0704267,
        0.0695763,
        0.06773,
        0.0710556,
        0.0721349,
        0.0669456,
        0.0657827,
        0.0645373,
        0.0661078,
        0.066337,
        0.0667557,
        0.0669197,
        0.0665462,
        0.0668737,
        0.0666875,
        0.0664996,
        0.0669423,
        0.0663558,
        0.0664155,
        0.0678013,
        0.0683237,
        0.0678538,
        0.0673415,
        0.0680562,
        0.0708597,
        0.0705892,
        0.0683321,
        0.069288,
        0.0687748,
        0.069206,
        0.0700971,
        0.0702347,
        0.0701236,
        0.0702702,
        0.0701867,
        0.0689505,
        0.0692632,
        0.0703949,
        0.0700215,
        0.0720529,
        0.0709735,
        0.0694238,
        0.0704302,
        0.069914,
        0.069414,
        0.0695373,
        0.0699633,
        0.0690693,
        0.0697035,
        0.0716004,
        0.0707915,
        0.0690931,
        0.0702355,
        0.0697056,
        0.0672476,
        0.0679444,
        0.0687524,
        0.0677594,
        0.0670641,
        0.0677563,
        0.0677772,
        0.0672632,
        0.0673465,
        0.066244,
        0.0669752,
        0.0657835,
        0.0662116,
        0.0677292,
        0.0683935,
        0.0677157,
        0.0685072,
        0.0695045,
        0.0676462,
        0.0669747,
        0.0682403,
        0.0675302,
        0.0681737,
        0.0674733,
        0.0686249,
        0.0686094,
        0.0684095,
        0.0694427,
        0.0686068,
        0.0684961,
        0.0687031,
        0.0679892,
        0.0681762,
        0.069669,
        0.0733236,
        0.0807069,
        0.0796435,
        0.0717236,
        0.0734812,
        0.0713145,
        0.0716808,
        0.0713843,
        0.0723429,
        0.0720052,
        0.0710113,
        0.0736885,
        0.0740492,
        0.0736589,
        0.0727867,
        0.073468,
        0.0777257,
        0.0781529,
        0.0744573,
        0.0738446,
        0.0733672,
        0.0735677,
        0.0744165,
        0.0752129,
        0.0738039,
        0.0733562,
        0.0744708,
        0.0762239,
        0.0740964,
        0.073065,
        0.0743162,
        0.0747807,
        0.0745973,
        0.0745053,
        0.0751137,
        0.0753449,
        0.0751166,
        0.0742394,
        0.0765858,
        0.0796868,
        0.0768197,
        0.0751686,
        0.0755451,
        0.0760279,
        0.0757595,
        0.0753555,
        0.0816298,
        0.0814451,
        0.0767209,
        0.0770326,
        0.0773062,
        0.0781666,
        0.0774454,
        0.0784609,
        0.078862,
        0.0804097,
        0.0819145,
        0.0820652,
        0.0814381,
        0.0832141,
        0.086291,
        0.0873591,
        0.0893808,
        0.0938721,
        0.0972668,
        0.102981,
        0.107615,
        0.118491,
        0.128192,
        0.142491,
        0.159786,
        0.176029,
        0.194648,
        0.247646,
        0.272724,
        0.247134,
        0.210796,
        0.186806,
        0.160756,
        0.139854,
        0.129815,
        0.123683,
        0.114009,
        0.107873,
        0.104174,
        0.104015,
        0.103811,
        0.100127,
        0.0975177,
        0.0948001,
        0.0922422,
        0.0925026,
        0.0912091,
        0.0886356,
        0.0866808,
        0.0894349,
        0.0905976,
        0.0901997,
        0.0873273,
        0.0863287,
        0.0851899,
        0.0852505,
        0.0868564,
        0.0850799,
        0.0835547,
        0.0834092,
        0.0832308,
        0.083967,
        0.0835271,
        0.0829588,
        0.0828411,
        0.0830081,
        0.0837298,
        0.0833812,
        0.0819841,
        0.0824699,
        0.0830997,
        0.0830292,
        0.0823391,
        0.0830144,
        0.0844754,
        0.082463,
        0.0821604,
        0.08235,
        0.0851809,
        0.0850341,
        0.0828053,
        0.0834962,
        0.0819444,
        0.0819883,
        0.0803332,
        0.0807503,
        0.0820506,
        0.0841091,
        0.0824336,
        0.0821687,
        0.0837731,
        0.0847211,
        0.0856868,
        0.087753,
        0.0868017,
        0.0864416,
        0.0849387,
        0.0856184,
        0.0867874,
        0.0885322,
        0.0873031,
        0.0863363,
        0.0863105,
        0.0858931,
        0.0868388,
        0.0871755,
        0.0882984,
        0.0886553,
        0.088275,
        0.0881883,
        0.0899013,
        0.0893931,
        0.088837,
        0.0880546,
        0.0872693,
        0.0872727,
        0.0873789,
        0.0874327,
        0.0877061,
        0.0889277,
        0.0901793,
        0.0904204,
        0.0899073,
        0.0890608,
        0.088482,
        0.0885908,
        0.0894105,
        0.0892932,
        0.086443,
        0.0881671,
        0.086146,
        0.0860196,
        0.0877284,
        0.0885475,
        0.0903504,
        0.090009,
        0.0877568,
        0.0867153,
        0.0871395,
        0.0877814,
        0.0896055,
        null,
        0.428169,
        0.442928,
        0.401793,
        0.348364,
        0.347133,
        0.317907,
        0.339666,
        0.326762,
        0.294208,
        0.285752,
        0.28245,
        0.282869,
        0.306824,
        0.312944,
        0.291158,
        0.285617,
        0.287583,
        0.286677,
        0.27334,
        0.273453,
        0.275324,
        0.256854,
        0.25882,
        0.247648,
        0.265389,
        0.279773,
        0.246885,
        0.241799,
        0.238048,
        0.239403,
        0.251936,
        0.24709,
        0.245234,
        0.245099,
        0.258214,
        0.268602,
        0.259525,
        0.252847,
        0.238262,
        0.245017,
        0.246002,
        0.261927,
        0.312017,
        0.331931,
        0.306908,
        0.292381,
        0.3012,
        0.238374,
        0.24418,
        0.261962,
        0.25184,
        0.237923,
        0.250682,
        0.262841,
        0.24778,
        0.226102,
        0.235571,
        0.233158,
        0.23144,
        0.226973,
        0.230743,
        0.225493,
        0.225967,
        0.233357,
        0.234938,
        0.235143,
        0.225321,
        0.224422,
        0.216234,
        0.226941,
        0.230564,
        0.22303,
        0.225285,
        0.224737,
        0.229075,
        0.208944,
        0.212978,
        0.234363,
        0.217181,
        0.208739,
        0.213558,
        0.21337,
        0.212279,
        0.209199,
        0.224581,
        0.221331,
        0.225476,
        0.214893,
        0.2214,
        0.236827,
        0.229119,
        0.223577,
        0.230189,
        0.235559,
        0.239105,
        0.234366,
        0.2417,
        0.229807,
        0.225369,
        0.21639,
        0.237701,
        0.247643,
        0.244845,
        0.24336,
        0.231899,
        0.241991,
        0.260783,
        0.248333,
        0.255764,
        0.254757,
        0.248711,
        0.255766,
        0.262191,
        0.24765,
        0.265253,
        0.291266,
        0.289159,
        0.271419,
        0.25643,
        0.335322,
        0.37088,
        0.334699,
        0.319265,
        0.296992,
        0.329358,
        0.321967,
        0.313422,
        0.320945,
        0.30837,
        0.308449,
        0.341369,
        0.340688,
        0.404854,
        0.33752,
        0.357742,
        null,
        0.392761,
        0.414773,
        0.361261,
        0.329692,
        0.342645,
        0.353344,
        0.347438,
        0.302581,
        0.30049,
        0.310086,
        0.335839,
        0.324461,
        0.329646,
        0.354495,
        0.306979,
        0.282026,
        0.271291,
        0.288359,
        0.291713,
        0.272148,
        0.300248,
        0.285394,
        0.259046,
        0.249351,
        0.267941,
        0.256095,
        0.263488,
        0.26076,
        0.26475,
        0.266438,
        0.264456,
        0.269255,
        0.266653,
        0.267603,
        0.243146,
        0.247883,
        0.237645,
        0.230705,
        0.23442,
        0.256939,
        0.252445,
        0.231354,
        0.23258,
        0.249039,
        0.233321,
        0.231814,
        0.228641,
        0.221987,
        0.22535,
        0.228328,
        0.222242,
        0.207015,
        0.222518,
        0.232734,
        0.229722,
        0.210003,
        0.210631,
        0.205741,
        0.21499,
        0.21698,
        0.220562,
        0.219331,
        0.213903,
        0.221047,
        0.208914,
        0.20773,
        0.21715,
        0.214357,
        0.214275,
        0.209282,
        0.218344,
        0.224175,
        0.225761,
        0.230635,
        0.243191,
        0.240134,
        0.252548,
        0.274372,
        0.306236,
        0.357092,
        0.407174,
        0.338465,
        0.319096,
        0.288029,
        0.280274,
        0.251786,
        0.23368,
        0.22069,
        0.212811,
        0.208094,
        0.207904,
        0.192185,
        0.194077,
        0.191126,
        0.184723,
        0.20296,
        0.194577,
        0.182683,
        0.189688,
        0.184955,
        0.18319,
        0.180674,
        0.177193,
        0.178497,
        0.1811,
        0.186241,
        0.196252,
        0.226602,
        0.230869,
        0.279228,
        0.33063,
        0.291096,
        0.246584,
        0.229057,
        0.230403,
        0.235227,
        0.268614,
        0.332556,
        0.314231,
        0.259469,
        0.213315,
        0.193998,
        0.183705,
        0.180091,
        0.176674,
        0.167263,
        0.165603,
        0.168323,
        0.163632,
        0.155538,
        0.156932,
        0.157153,
        0.1587,
        0.156245,
        0.157705,
        0.157019,
        0.162142,
        0.152017,
        0.151981,
        0.151295,
        0.143332,
        0.157235,
        0.157076,
        0.149856,
        0.15783,
        0.158779,
        0.154329,
        0.151998,
        0.156366,
        0.164598,
        0.156469,
        0.158164,
        0.156584,
        0.155287,
        0.151571,
        0.144717,
        0.147526,
        0.151662,
        0.154334,
        0.154423,
        0.146926,
        0.151796,
        0.145997,
        0.14863,
        0.152275,
        0.151829,
        0.152413,
        0.155288,
        0.148065,
        0.155428,
        0.154079,
        0.153018,
        0.146381,
        0.15151,
        0.149677,
        0.151299,
        0.15484,
        0.159581,
        0.158734,
        0.160331,
        0.164995,
        0.17157,
        0.17273,
        0.186042,
        0.211625,
        0.262994,
        0.272379,
        0.286629,
        0.333006,
        0.281416,
        0.225946,
        0.212872,
        0.203255,
        0.190586,
        0.179027,
        0.177056,
        0.164902,
        0.158429,
        0.16123,
        0.155172,
        0.157646,
        0.182209,
        0.175529,
        0.150904,
        0.149504,
        0.153258,
        0.163468,
        0.151935,
        0.145551,
        0.144062,
        0.144549,
        0.148642,
        0.142988,
        0.145509,
        0.146075,
        0.144128,
        0.137523,
        0.136897,
        0.136578,
        0.138581,
        0.139556,
        0.146946,
        0.140663,
        0.143815,
        0.141942,
        0.140198,
        0.143117,
        0.143923,
        0.148902,
        0.147567,
        0.148889,
        0.146456,
        0.14143,
        0.14454,
        0.146599,
        0.146194,
        0.153758,
        0.153838,
        0.158961,
        0.160378,
        0.16915,
        0.177037,
        0.19586,
        0.208532,
        0.221229,
        0.247599,
        0.285056,
        0.285524,
        0.261028,
        0.232024,
        0.219246,
        0.202238,
        0.192665,
        0.18388,
        0.171219,
        0.17198,
        0.165723,
        0.160464,
        0.157702,
        0.148129,
        0.146403,
        0.142943,
        0.14125,
        0.139473,
        0.137392,
        0.136526,
        0.130777,
        0.127052,
        0.131614,
        0.138619,
        0.137673,
        0.131288,
        0.134481,
        0.132097,
        0.131037,
        0.128459,
        0.127104,
        0.12586,
        0.124555,
        0.124188,
        0.123971,
        0.120135,
        0.125651,
        0.125597,
        0.125151,
        0.122599,
        0.124633,
        0.127124,
        0.123597,
        0.119867,
        0.122743,
        0.125021,
        0.123926,
        0.119681,
        0.119653,
        0.119547,
        0.120135,
        0.129565,
        0.133569,
        0.115994,
        0.116127,
        0.120033,
        0.118953,
        0.116648,
        0.120767,
        0.126304,
        0.124762,
        0.123413,
        0.121854,
        0.123943,
        0.123946,
        0.12419,
        0.123897,
        0.126705,
        0.127405,
        0.119711,
        0.119562,
        0.12432,
        0.125852,
        0.122027,
        0.122771,
        0.126129,
        0.127454,
        0.127583,
        0.123167,
        0.125278,
        0.121798,
        0.123268,
        0.122915,
        0.121755,
        0.122387,
        0.121014,
        0.124898,
        0.12897,
        0.129158,
        0.125618,
        0.124287,
        0.127738,
        0.142192,
        0.131963,
        0.117822,
        0.118552,
        0.11842,
        0.124547,
        0.124393,
        0.123584,
        0.124489,
        0.120054,
        0.121217,
        0.124826,
        0.123178,
        0.121762,
        0.121808,
        0.127325,
        0.130949,
        0.126692,
        0.131179,
        0.125844,
        0.123176,
        0.120088,
        0.122832,
        0.123562,
        0.12365,
        0.124707,
        0.125862,
        0.123458,
        0.126625,
        0.128644,
        0.128119,
        0.127258,
        0.126659,
        0.129263,
        0.129996,
        0.129812,
        0.128374,
        0.12968,
        0.1302,
        0.133296,
        0.133763,
        0.134773,
        0.131282,
        0.128251,
        0.132845,
        0.140743,
        0.151397,
        0.143913,
        0.135473,
        0.138975,
        0.143556,
        0.142619,
        0.13565,
        0.136478,
        0.139508,
        0.139327,
        0.138026,
        0.138139,
        0.150252,
        0.16116,
        0.158297,
        0.1501,
        0.171009,
        0.169776,
        0.147107,
        0.150017,
        0.159526,
        0.166976,
        0.172208,
        0.174571,
        0.174826,
        0.18992,
        0.215349,
        0.224338,
        0.240529,
        0.277262,
        0.311087,
        0.390557,
        0.310071,
        0.264358,
        0.235766,
        0.228139,
        0.212062,
        0.202997,
        0.188563,
        0.177891,
        0.170763,
        0.163507,
        0.162976,
        0.157088,
        0.158793,
        0.154775,
        0.154093,
        0.151422,
        0.152802,
        0.153298,
        0.149246,
        0.155123,
        0.147677,
        0.156072,
        0.156936,
        0.147837,
        0.144229,
        0.150897,
        0.145004,
        0.144674,
        0.154238,
        0.152715,
        0.151916,
        0.153735,
        0.157636,
        0.155388,
        0.150031,
        0.150679,
        0.152043,
        0.149217,
        0.147129,
        0.153484,
        0.144706,
        0.143099,
        0.145667,
        0.144785,
        0.145923,
        0.146079,
        0.141729,
        0.140284,
        0.150599,
        0.161586,
        0.162683,
        0.14268,
        0.150367,
        0.151019,
        0.146793,
        0.149437,
        0.148946,
        0.148767,
        0.145959,
        0.151635,
        0.157845,
        0.163479,
        0.159415,
        0.160171,
        0.155749,
        0.159147,
        0.167127,
        0.16631,
        0.169906,
        0.173472,
        0.166475,
        0.175917,
        0.193126,
        0.198199,
        0.205275,
        0.219719,
        0.217215,
        0.222951,
        0.265915,
        0.269446,
        0.260876,
        0.283773,
        0.257078,
        0.231538,
        0.223074,
        0.214194,
        0.204816,
        0.209215,
        0.202818,
        0.188753,
        0.186054,
        0.19668,
        0.190418,
        0.184111,
        0.201037,
        0.193304,
        0.195882,
        0.183554,
        0.183133,
        0.186932,
        0.194788,
        0.178602,
        0.180187,
        0.181926,
        0.184833,
        0.178028,
        0.182119,
        0.18115,
        0.185691,
        0.184622,
        0.178262,
        0.185032,
        0.183068,
        0.19949,
        0.197399,
        0.185454,
        0.173737,
        0.183224,
        0.192956,
        0.190102,
        0.18798,
        0.186649,
        0.212608,
        0.222801,
        0.20036,
        0.195425,
        0.18078,
        0.183719,
        0.188025,
        0.195025,
        0.201256,
        0.196622,
        0.193204,
        0.192694,
        0.197987,
        0.202068,
        0.197599,
        0.197849,
        0.208144,
        0.210162,
        0.212643,
        0.211761,
        0.218292,
        0.223328,
        0.224033,
        0.228781,
        0.221155,
        0.215604,
        0.218386,
        0.225778,
        0.217159,
        0.241721,
        0.25939,
        0.269935,
        0.243986,
        0.245774,
        0.23575,
        0.261245,
        0.266051,
        0.243718,
        0.242779,
        0.250577,
        0.263806,
        0.273227,
        0.308128,
        0.299846,
        0.281177,
        0.286525,
        0.277029,
        0.291077,
        0.303432
    ]
}