GET /api/crires_2905nm_3608nm_vstar_dr_tau/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        2.9056027646908476,
        2.9056163348987156,
        2.905629905106583,
        2.905643475314451,
        2.905657045522319,
        2.9056706157301866,
        2.9056841859380547,
        2.9056977561459223,
        2.9057113263537904,
        2.9057248965616584,
        2.905738466769526,
        2.9057520369773937,
        2.9057656071852613,
        2.90577917739313,
        2.905792747600998,
        2.905806317808865,
        2.905819888016733,
        2.9058334582246013,
        2.905847028432469,
        2.905860598640337,
        2.9058741688482046,
        2.9058877390560727,
        2.9059013092639407,
        2.9059148794718084,
        2.905928449679676,
        2.9059420198875436,
        2.905955590095412,
        2.9059691603032802,
        2.9059827305111474,
        2.9059963007190155,
        2.906009870926883,
        2.906023441134751,
        2.9060370113426193,
        2.906050581550487,
        2.906064151758355,
        2.9060777219662226,
        2.9060912921740907,
        2.9061048623819583,
        2.906118432589826,
        2.906132002797694,
        2.906145573005562,
        2.90615914321343,
        2.906172713421298,
        2.9061862836291654,
        2.9061998538370335,
        2.906213424044901,
        2.9062269942527688,
        2.9062405644606373,
        2.906254134668505,
        2.906267704876373,
        2.9062812750842406,
        2.9062948452921082,
        2.9063084154999763,
        2.906321985707844,
        2.9063355559157125,
        2.9063491261235797,
        2.9063626963314477,
        2.906376266539316,
        2.9063898367471834,
        2.906403406955051,
        2.9064169771629187,
        2.906430547370787,
        2.9064441175786553,
        2.906457687786523,
        2.9064712579943905,
        2.906484828202258,
        2.9064983984101262,
        2.9065119686179943,
        2.906525538825862,
        2.90653910903373,
        2.9065526792415977,
        2.9065662494494657,
        2.906579819657334,
        2.906593389865201,
        2.906606960073069,
        2.906620530280937,
        2.90672909194388,
        2.906742662151748,
        2.9067562323596157,
        2.9067698025674833,
        2.9067833727753514,
        2.906796942983219,
        2.9068105131910875,
        2.9068240833989547,
        2.906837653606823,
        2.906851223814691,
        2.9068647940225585,
        2.9068783642304266,
        2.9068919344382937,
        2.9069055046461623,
        2.9069190748540303,
        2.906932645061898,
        2.9069462152697656,
        2.9069597854776337,
        2.9069733556855013,
        2.9069869258933694,
        2.907000496101237,
        2.907014066309105,
        2.907122627972048,
        2.9071361981799155,
        2.9071497683877836,
        2.9071633385956517,
        2.9071769088035193,
        2.9071904790113874,
        2.907204049219255,
        2.907217619427123,
        2.907231189634991,
        2.9072854704664626,
        2.9072990406743306,
        2.907312610882198,
        2.907326181090066,
        2.9073397512979335,
        2.9073533215058016,
        2.9073668917136692,
        2.9073804619215373,
        2.9073940321294054,
        2.907407602337273,
        2.9074211725451407,
        2.9074347427530087,
        2.9074483129608764,
        2.9074618831687444,
        2.9074754533766125,
        2.90748902358448,
        2.907502593792348,
        2.907516164000216,
        2.907529734208084,
        2.907543304415951,
        2.907556874623819,
        2.9075704448316877,
        2.9075840150395553,
        2.9075975852474234,
        2.9076111554552906,
        2.9076247256631587,
        2.9076382958710267,
        2.9076518660788944,
        2.9076654362867624,
        2.90767900649463,
        2.907692576702498,
        2.907706146910366,
        2.9077197171182334,
        2.9077332873261015,
        2.907746857533969,
        2.9077604277418376,
        2.9077739979497057,
        2.907787568157573,
        2.907801138365441,
        2.9078147085733086,
        2.9078282787811767,
        2.9078418489890443,
        2.9078554191969124,
        2.9078689894047804,
        2.907882559612648,
        2.907896129820516,
        2.907909700028384,
        2.9079232702362514,
        2.9079368404441195,
        2.907950410651988,
        2.907963980859855,
        2.9079775510677233,
        2.907991121275591,
        2.908004691483459,
        2.908018261691327,
        2.9080318318991942,
        2.9080454021070627,
        2.9080589723149304,
        2.9080725425227985,
        2.908086112730666,
        2.9080996829385337,
        2.908113253146402,
        2.9081268233542694,
        2.9081403935621375,
        2.9081539637700056,
        2.908167533977873,
        2.9081811041857413,
        2.908194674393609,
        2.9082082446014765,
        2.9082218148093446,
        2.9082353850172127,
        2.9082489552250808,
        2.908262525432948,
        2.908276095640816,
        2.908289665848684,
        2.9083032360565517,
        2.9083168062644202,
        2.9083303764722874,
        2.9083439466801555,
        2.9083575168880236,
        2.908371087095891,
        2.908384657303759,
        2.9083982275116265,
        2.908411797719495,
        2.908425367927363,
        2.9084389381352302,
        2.9084525083430983,
        2.908466078550966,
        2.908479648758834,
        2.908493218966702,
        2.9085067891745697,
        2.908520359382438,
        2.9085339295903054,
        2.9085474997981735,
        2.908561070006041,
        2.9085746402139088,
        2.908588210421777,
        2.908601780629645,
        2.908615350837513,
        2.9086289210453806,
        2.9086424912532483,
        2.9086560614611163,
        2.9088189039555306,
        2.9088324741633986,
        2.9088460443712663,
        2.908859614579134,
        2.9088731847870015,
        2.90888675499487,
        2.908900325202738,
        2.9089138954106057,
        2.9089274656184734,
        2.908941035826341,
        2.908954606034209,
        2.908968176242077,
        2.908981746449945,
        2.908995316657813,
        2.909008886865681,
        2.9090224570735486,
        2.9090360272814166,
        2.909049597489284,
        2.909063167697152,
        2.9090767379050204,
        2.909090308112888,
        2.9091038783207557,
        2.9091174485286233,
        2.9091310187364914,
        2.9091445889443595,
        2.9091581591522266,
        2.909171729360095,
        2.909185299567963,
        2.909198869775831,
        2.909212439983699,
        2.909226010191566,
        2.909239580399434,
        2.909253150607302,
        2.9092667208151703,
        2.909280291023038,
        2.9092938612309056,
        2.9093074314387737,
        2.9093210016466413,
        2.9093345718545094,
        2.909348142062377,
        2.909361712270245,
        2.909375282478113,
        2.909388852685981,
        2.9094024228938484,
        2.9094159931017165,
        2.909429563309584,
        2.909443133517452,
        2.90945670372532,
        2.909470273933188,
        2.909483844141056,
        2.9094974143489236,
        2.9095109845567917,
        2.909524554764659,
        2.909538124972527,
        2.9095516951803955,
        2.909565265388263,
        2.9095788355961307,
        2.9095924058039984,
        2.9096059760118664,
        2.9096195462197345,
        2.909633116427602,
        2.90964668663547,
        2.909660256843338,
        2.909673827051206,
        2.909687397259074,
        2.909700967466941,
        2.9097145376748093,
        2.909728107882677,
        2.9097416780905454,
        2.9097552482984135,
        2.9097688185062807,
        2.9097823887141487,
        2.9097959589220164,
        2.9098095291298844,
        2.909823099337752,
        2.90983666954562,
        2.909850239753488,
        2.909863809961356,
        2.9098773801692235,
        2.9098909503770916,
        2.909904520584959,
        2.9099180907928273,
        2.9099316610006953,
        2.909945231208563,
        2.909958801416431,
        2.9099723716242987,
        2.9099859418321667,
        2.909999512040034,
        2.910013082247902,
        2.9100266524557705,
        2.910040222663638,
        2.9100537928715062,
        2.9100673630793734,
        2.9100809332872415,
        2.9100945034951096,
        2.910108073702977,
        2.9101216439108453,
        2.9101352141187133,
        2.910148784326581,
        2.910162354534449,
        2.9101759247423162,
        2.9101894949501843,
        2.9102030651580524,
        2.9102166353659205,
        2.9102302055737885,
        2.9102437757816557,
        2.910257345989524,
        2.910270916197392,
        2.9102844864052595,
        2.910298056613127,
        2.910311626820995,
        2.9103251970288633,
        2.9103387672367313,
        2.910352337444599,
        2.9103659076524666,
        2.9103794778603342,
        2.9103930480682023,
        2.910406618276071,
        2.910420188483938,
        2.910433758691806,
        2.9104473288996737,
        2.910460899107542,
        2.9104744693154094,
        2.910488039523277,
        2.9105016097311456,
        2.910515179939013,
        2.9105287501468813,
        2.910542320354749,
        2.9105558905626165,
        2.9105694607704846,
        2.9105830309783522,
        2.9105966011862203,
        2.9106101713940884,
        2.910623741601956,
        2.910637311809824,
        2.9106508820176917,
        2.9106644522255594,
        2.910678022433428,
        2.9106915926412955,
        2.9107051628491636,
        2.9107187330570308,
        2.910732303264899,
        2.910745873472767,
        2.9107594436806346,
        2.910773013888503,
        2.9107865840963703,
        2.9108001543042383,
        2.9108137245121064,
        2.910827294719974,
        2.9108408649278417,
        2.9108544351357093,
        2.910868005343578,
        2.910881575551446,
        2.910895145759313,
        2.910908715967181,
        2.910922286175049,
        2.910935856382917,
        2.910949426590785,
        2.9109629967986526,
        2.9109765670065206,
        2.9109901372143883,
        2.9110037074222563,
        2.911017277630124,
        2.9110308478379916,
        2.9110444180458597,
        2.9110579882537277,
        2.911071558461596,
        2.9110851286694635,
        2.911098698877331,
        2.911112269085199,
        2.9111258392930672,
        2.9111394095009344,
        2.911152979708803,
        2.9111665499166706,
        2.9111801201245386,
        2.9111936903324063,
        2.911207260540274,
        2.911220830748142,
        2.9112344009560096,
        2.911247971163878,
        2.9112615413717458,
        2.9112751115796134,
        2.9112886817874815,
        2.911302251995349,
        2.9113158222032167,
        2.911329392411085,
        2.911342962618953,
        2.911356532826821,
        2.9113701030346886,
        2.911383673242556,
        2.9113972434504243,
        2.911410813658292,
        2.91142438386616,
        2.9114379540740276,
        2.9114515242818957,
        2.9114650944897638,
        2.9114786646976314,
        2.9114922349054995,
        2.9115058051133667,
        2.9115193753212347,
        2.9115329455291032,
        2.911546515736971,
        2.9115600859448385,
        2.911573656152706,
        2.911587226360574,
        2.9116007965684423,
        2.9116143667763095,
        2.911627936984178,
        2.9116415071920456,
        2.9116550773999137,
        2.9116686476077818,
        2.911682217815649,
        2.911695788023517,
        2.9117093582313847,
        2.911722928439253,
        2.911736498647121,
        2.9117500688549884,
        2.9117636390628565,
        2.911777209270724,
        2.911790779478592,
        2.91180434968646,
        2.911817919894328,
        2.911831490102196,
        2.9118450603100636,
        2.9118586305179313,
        2.9118722007257993,
        2.911885770933667,
        2.911899341141535,
        2.9119129113494027,
        2.9119264815572707,
        2.911940051765139,
        2.9119536219730064,
        2.9119671921808745,
        2.9119807623887417,
        2.91199433259661,
        2.9120079028044783,
        2.912021473012346,
        2.9120350432202136,
        2.912048613428081,
        2.9120621836359493,
        2.9120757538438173,
        2.912089324051685,
        2.912102894259553,
        2.9121164644674207,
        2.9121300346752887,
        2.912143604883157,
        2.912157175091024,
        2.912170745298892,
        2.91218431550676,
        2.9121978857146282,
        2.912211455922496,
        2.9122250261303635,
        2.9122385963382316,
        2.9122521665460996,
        2.9122657367539673,
        2.912279306961835,
        2.912292877169703,
        2.912306447377571,
        2.912320017585439,
        2.9123335877933063,
        2.9123471580011744,
        2.912360728209042,
        2.91237429841691,
        2.9123878686247786,
        2.912401438832646,
        2.912415009040514,
        2.9124285792483815,
        2.9124421494562496,
        2.912455719664117,
        2.912469289871985,
        2.9124828600798534,
        2.912496430287721,
        2.912510000495589,
        2.9125235707034567,
        2.9125371409113243,
        2.9125507111191924,
        2.91256428132706,
        2.912577851534928,
        2.912591421742796,
        2.912604991950664,
        2.9126999834057385,
        2.9127135536136066,
        2.9127271238214747,
        2.9127406940293423,
        2.91275426423721,
        2.912767834445078,
        2.912781404652946,
        2.912794974860814,
        2.912808545068682,
        2.9128221152765494,
        2.912835685484417,
        2.912849255692285,
        2.9128628259001537,
        2.912876396108021,
        2.912889966315889,
        2.9129035365237566,
        2.9129171067316246,
        2.9129306769394923,
        2.91294424714736,
        2.9129578173552284,
        2.912971387563096,
        2.912984957770964,
        2.9129985279788317,
        2.9130120981866994,
        2.9130256683945674,
        2.9130392386024355,
        2.913052808810303,
        2.9130663790181712,
        2.913079949226039,
        2.913093519433907,
        2.9131070896417746,
        2.913120659849642,
        2.9131342300575107,
        2.9131478002653783,
        2.9134056342148678,
        2.9134192044227354,
        2.9134327746306035,
        2.9134463448384715,
        2.913459915046339,
        2.913473485254207,
        2.9134870554620744,
        2.9135006256699425,
        2.913514195877811,
        2.9135277660856786,
        2.9135413362935463,
        2.913554906501414,
        2.913568476709282,
        2.91358204691715,
        2.9135956171250172,
        2.9136091873328858,
        2.9136227575407534,
        2.9136363277486215,
        2.913649897956489,
        2.9136634681643567,
        2.913677038372225,
        2.9136906085800924,
        2.913704178787961,
        2.9137177489958286,
        2.913731319203696,
        2.9137448894115643,
        2.913758459619432,
        2.9137720298272995,
        2.9137856000351676,
        2.9137991702430357,
        2.9138127404509038,
        2.9138263106587714,
        2.913839880866639,
        2.913853451074507,
        2.9138670212823747,
        2.913880591490243,
        2.9138941616981104,
        2.9139077319059785,
        2.9139213021138466,
        2.913934872321714,
        2.913948442529582,
        2.9139620127374495,
        2.9139755829453176,
        2.913989153153186,
        2.9140027233610537,
        2.9140162935689213,
        2.914029863776789,
        2.914043433984657,
        2.914057004192525,
        2.9140705744003923,
        2.914084144608261,
        2.9140977148161284,
        2.9141112850239965,
        2.9141248552318646,
        2.914138425439732,
        2.9141519956476,
        2.9141655658554675,
        2.914179136063336,
        2.9141927062712036,
        2.9142062764790713,
        2.9142198466869393,
        2.914233416894807,
        2.914246987102675,
        2.9142605573105427,
        2.9142741275184108,
        2.914287697726279,
        2.914301267934147,
        2.914314838142014,
        2.914328408349882,
        2.91434197855775,
        2.914355548765618,
        2.914369118973486,
        2.9143826891813536,
        2.9143962593892216,
        2.9144098295970893,
        2.9144233998049573,
        2.914436970012825,
        2.9144505402206926,
        2.914464110428561,
        2.9144776806364288,
        2.9144912508442964,
        2.9145048210521645,
        2.914518391260032,
        2.915115480406218,
        2.915129050614086,
        2.915142620821954,
        2.9151561910298214,
        2.9151697612376894,
        2.9151833314455575,
        2.915196901653425,
        2.915210471861293,
        2.915224042069161,
        2.915237612277029,
        2.915251182484897,
        2.9152647526927646,
        2.9152783229006323,
        2.9152918931085,
        2.915305463316368,
        2.9153190335242365,
        2.9153326037321037,
        2.9153461739399718,
        2.91535974414784,
        2.9153733143557075,
        2.915386884563575,
        2.9154004547714427,
        2.9154140249793112,
        2.9154275951871793,
        2.915441165395047,
        2.9154547356029146,
        2.915468305810782,
        2.9154818760186503,
        2.915495446226519,
        2.915509016434386,
        2.915522586642254,
        2.9155361568501217,
        2.9155497270579898,
        2.915563297265858,
        2.915576867473725,
        2.9155904376815935,
        2.915604007889461,
        2.9156175780973292,
        2.915631148305197,
        2.9156447185130645,
        2.9156582887209326,
        2.9156718589288,
        2.9156854291366683,
        2.9156989993445364,
        2.915712569552404,
        2.915726139760272,
        2.9157397099681397,
        2.9157532801760073,
        2.9157668503838754,
        2.9157804205917435,
        2.9157939907996115,
        2.9158075610074787,
        2.915821131215347,
        2.915834701423215,
        2.9158482716310825,
        2.9158618418389506,
        2.915875412046818,
        2.9158889822546863,
        2.9159025524625544,
        2.915916122670422,
        2.9159296928782896,
        2.9159432630861573,
        2.9159568332940253,
        2.915970403501894,
        2.9159839737097615,
        2.915997543917629,
        2.9160111141254967,
        2.916024684333365,
        2.916038254541233,
        2.9160518247491,
        2.9160653949569686,
        2.9160789651648362,
        2.9160925353727043,
        2.916106105580572,
        2.9161196757884396,
        2.9161332459963076,
        2.9161468162041753,
        2.916160386412044,
        2.9161739566199114,
        2.916187526827779,
        2.916201097035647,
        2.9162146672435147,
        2.9162282374513824,
        2.9162418076592505,
        2.9162553778671185,
        2.9162689480749866,
        2.9162825182828542,
        2.916296088490722,
        2.91630965869859,
        2.9163232289064576,
        2.9163367991143256,
        2.9163503693221933,
        2.9163639395300613,
        2.9163775097379294,
        2.916391079945797,
        2.9164046501536647,
        2.9164182203615323,
        2.9164317905694004,
        2.916445360777269,
        2.9164589309851365,
        2.916472501193004,
        2.9164860714008722,
        2.91649964160874,
        2.916513211816608,
        2.916526782024475,
        2.9165403522323436,
        2.9165539224402117,
        2.9165674926480794,
        2.9165810628559474,
        2.9165946330638146,
        2.9166082032716827,
        2.9166217734795508,
        2.916635343687419,
        2.9166489138952865,
        2.916662484103154,
        2.916676054311022,
        2.9166896245188902,
        2.916703194726758,
        2.9167167649346255,
        2.9167303351424936,
        2.9167439053503617,
        2.9167574755582297,
        2.916771045766097,
        2.916784615973965,
        2.9167981861818326,
        2.9168117563897007,
        2.9168253265975688,
        2.9168388968054364,
        2.9168524670133045,
        2.916866037221172,
        2.91687960742904,
        2.916893177636908,
        2.9169067478447754,
        2.916920318052644,
        2.9169338882605116,
        2.916947458468379,
        2.9169610286762473,
        2.916974598884115,
        2.916988169091983,
        2.9170017392998506,
        2.9170153095077187,
        2.9170288797155868,
        2.9170424499234544,
        2.9170560201313225,
        2.9170695903391897,
        2.9170831605470577,
        2.917096730754926,
        2.917110300962794,
        2.9171238711706615,
        2.917137441378529,
        2.9171510115863972,
        2.9171645817942653,
        2.917178152002133,
        2.9171917222100006,
        2.9172052924178686,
        2.9172188626257367,
        2.917232432833605,
        2.917246003041472,
        2.91725957324934,
        2.9172731434572077,
        2.9172867136650757,
        2.9176395390696404,
        2.917653109277508,
        2.9176666794853756,
        2.917680249693244,
        2.9176938199011118,
        2.91770739010898,
        2.9177209603168475,
        2.917734530524715,
        2.917748100732583,
        2.917761670940451,
        2.9177752411483193,
        2.9177888113561865,
        2.9178023815640546,
        2.9178159517719227,
        2.9178295219797903,
        2.917843092187658,
        2.917856662395526,
        2.917870232603394,
        2.917883802811262,
        2.9178973730191298,
        2.9179109432269974,
        2.917924513434865,
        2.917938083642733,
        2.9179516538506016,
        2.917965224058469,
        2.917978794266337,
        2.9179923644742045,
        2.9180059346820726,
        2.9180195048899407,
        2.918033075097808,
        2.9180466453056764,
        2.918060215513544,
        2.918073785721412,
        2.9180873559292797,
        2.9181009261371473,
        2.9181144963450154,
        2.918128066552883,
        2.918141636760751,
        2.918155206968619,
        2.918168777176487,
        2.918182347384355,
        2.9181959175922225,
        2.91820948780009,
        2.9182230580079582,
        2.9182366282158263,
        2.9182501984236944,
        2.9182637686315616,
        2.9182773388394296,
        2.9182909090472977,
        2.9183044792551653,
        2.9183180494630334,
        2.918331619670901,
        2.918345189878769,
        2.918358760086637,
        2.918372330294505,
        2.9183859005023725,
        2.91839947071024,
        2.918413040918108,
        2.9184266111259767,
        2.9184401813338443,
        2.918453751541712,
        2.9184673217495796,
        2.9184808919574476,
        2.9184944621653157,
        2.918508032373183,
        2.9185216025810514,
        2.9185351727889195,
        2.918548742996787,
        2.9185623132046548,
        2.9185758834125224,
        2.9185894536203905,
        2.9186030238282585,
        2.9186165940361266,
        2.9186301642439942,
        2.918643734451862,
        2.91865730465973,
        2.918670874867598,
        2.918684445075465,
        2.9186980152833333,
        2.9187115854912014,
        2.9187251556990694,
        2.9187387259069375,
        2.9187522961148047,
        2.9187658663226728,
        2.9187794365305404,
        2.9187930067384085,
        2.9188065769462765,
        2.918820147154144,
        2.9188337173620122,
        2.91884728756988,
        2.9188608577777475,
        2.9188744279856156,
        2.918887998193483,
        2.9189015684013517,
        2.9189151386092194,
        2.918928708817087,
        2.918942279024955,
        2.9189558492328227,
        2.9189694194406908,
        2.918982989648558,
        2.9189965598564265,
        2.9190101300642946,
        2.919023700272162,
        2.9190372704800303,
        2.9190508406878974,
        2.9190644108957655,
        2.9190779811036336,
        2.9190915513115017,
        2.9191051215193693,
        2.919118691727237,
        2.919132261935105,
        2.919145832142973,
        2.9191594023508403,
        2.9191729725587083,
        2.9191865427665764,
        2.9192001129744445,
        2.9192136831823126,
        2.9192272533901797,
        2.919240823598048,
        2.9192543938059154,
        2.9192679640137835,
        2.9192815342216516,
        2.9192951044295192,
        2.9193086746373873,
        2.919322244845255,
        2.919335815053123,
        2.9193493852609906,
        2.9193629554688583,
        2.919376525676727,
        2.9193900958845944,
        2.919403666092462,
        2.91941723630033,
        2.9194308065081978,
        2.919444376716066,
        2.9194579469239335,
        2.9194715171318015,
        2.9194850873396696,
        2.9194986575475372,
        2.9195122277554053,
        2.9195257979632725,
        2.9195393681711406,
        2.9195529383790086,
        2.9195665085868767,
        2.9195800787947443,
        2.919593649002612,
        2.91960721921048,
        2.919620789418348,
        2.9196343596262158,
        2.9196479298340834,
        2.919661500041952,
        2.9196750702498195,
        2.9196886404576876,
        2.919702210665555,
        2.919715780873423,
        2.919729351081291,
        2.9197429212891586,
        2.919756491497027,
        2.9197700617048943,
        2.9197836319127624,
        2.9197972021206304,
        2.919810772328498,
        2.9198243425363657,
        2.9198379127442333,
        2.919851482952102,
        2.91986505315997,
        2.919878623367837,
        2.919892193575705,
        2.919905763783573,
        2.919919333991441,
        2.919932904199309,
        2.9199464744071766,
        2.9199600446150447,
        2.9199736148229123,
        2.9199871850307804,
        2.920000755238648,
        2.9200143254465156,
        2.9200278956543837,
        2.9200414658622518,
        2.92005503607012,
        2.9200686062779875,
        2.920082176485855,
        2.920095746693723,
        2.920109316901591,
        2.9201228871094584,
        2.920136457317327,
        2.9201500275251946,
        2.9201635977330627,
        2.9201771679409303,
        2.920190738148798,
        2.920204308356666,
        2.920217878564534,
        2.920231448772402,
        2.9202450189802693,
        2.9202585891881374,
        2.9202721593960055,
        2.920285729603873,
        2.9202992998117407,
        2.920312870019609,
        2.920326440227477,
        2.920340010435345,
        2.9203535806432126,
        2.9203671508510802,
        2.920380721058948,
        2.920394291266816,
        2.9204078614746845,
        2.9204214316825516,
        2.9204350018904197,
        2.9204485720982873,
        2.9204621423061554,
        2.9204757125140235,
        2.9204892827218907,
        2.920502852929759,
        2.920516423137627,
        2.920529993345495,
        2.9205435635533625,
        2.92055713376123,
        2.9205707039690982,
        2.920584274176966,
        2.920597844384834,
        2.920611414592702,
        2.9206249848005696,
        2.9206385550084377,
        2.920652125216306,
        2.920665695424173,
        2.920679265632041,
        2.920760686879248,
        2.9207742570871162,
        2.9207878272949843,
        2.920801397502852,
        2.92081496771072,
        2.9208285379185877,
        2.9208421081264553,
        2.9208556783343234,
        2.920869248542191,
        2.9208828187500595,
        2.920896388957927,
        2.9209099591657948,
        2.920923529373663,
        2.9209370995815305,
        2.9209506697893985,
        2.9209642399972657,
        2.9209778102051343,
        2.9209913804130023,
        2.92100495062087,
        2.9210185208287376,
        2.921032091036605,
        2.9210456612444733,
        2.9210592314523414,
        2.9210728016602094,
        2.921086371868077,
        2.9210999420759447,
        2.9211135122838128,
        2.9233933072056133,
        2.925673102127414,
        2.925686672335282,
        2.92570024254315,
        2.9257138127510176,
        2.9257273829588857,
        2.9257409531667533,
        2.925754523374621,
        2.925768093582489,
        2.9257816637903566,
        2.925795233998225,
        2.9258088042060924,
        2.9258223744139604,
        2.9258359446218285,
        2.925849514829696,
        2.925863085037564,
        2.9258766552454314,
        2.9258902254533,
        2.925903795661168,
        2.9259173658690356,
        2.9259309360769032,
        2.925944506284771,
        2.925958076492639,
        2.925971646700507,
        2.925985216908375,
        2.9259987871162427,
        2.926012357324111,
        2.9260259275319784,
        2.9260394977398465,
        2.9260530679477137,
        2.9260666381555818,
        2.9260802083634503,
        2.926093778571318,
        2.9261073487791855,
        2.926120918987053,
        2.9261344891949213,
        2.9261480594027893,
        2.926161629610657,
        2.926175199818525,
        2.9261887700263927,
        2.9262023402342607,
        2.926215910442129,
        2.926229480649996,
        2.926243050857864,
        2.9262566210657317,
        2.9262701912736,
        2.9262837614814683,
        2.9262973316893355,
        2.9263109018972036,
        2.926324472105071,
        2.9263380423129393,
        2.926351612520807,
        2.926365182728675,
        2.926378752936543,
        2.9263923231444107,
        2.9264058933522787,
        2.9264194635601464,
        2.926433033768014,
        2.926446603975882,
        2.92646017418375,
        2.926473744391618,
        2.926487314599486,
        2.9265008848073535,
        2.9265144550152216,
        2.9265280252230887,
        2.926541595430957,
        2.9265551656388253,
        2.926568735846693,
        2.926582306054561,
        2.9265958762624282,
        2.9266094464702963,
        2.9266230166781644,
        2.926636586886032,
        2.9266501570939,
        2.9266637273017677,
        2.926677297509636,
        2.926690867717504,
        2.9267044379253715,
        2.926718008133239,
        2.9267315783411068,
        2.9267451485489753,
        2.9267587187568433,
        2.9267722889647105,
        2.9267858591725786,
        2.9267994293804462,
        2.9268129995883143,
        2.926826569796182,
        2.92684014000405,
        2.926853710211918,
        2.9268672804197857,
        2.926880850627654,
        2.9268944208355214,
        2.926907991043389,
        2.926921561251257,
        2.926935131459125,
        2.926948701666993,
        2.926962271874861,
        2.9269758420827285,
        2.9269894122905966,
        2.9270029824984647,
        2.927016552706332,
        2.9270301229142004,
        2.927043693122068,
        2.927057263329936,
        2.9270708335378037,
        2.9270844037456714,
        2.9270979739535394,
        2.927111544161407,
        2.9271251143692756,
        2.927138684577143,
        2.927152254785011,
        2.927165824992879,
        2.9271793952007465,
        2.927192965408614,
        2.9272065356164823,
        2.9272201058243503,
        2.9272336760322184,
        2.9272472462400856,
        2.9272608164479537,
        2.9272743866558217,
        2.9272879568636894,
        2.927301527071558,
        2.927315097279425,
        2.927328667487293,
        2.927342237695161,
        2.927355807903029,
        2.9273693781108965,
        2.927382948318764,
        2.9273965185266326,
        2.9274100887345007,
        2.9274236589423683,
        2.927437229150236,
        2.9274507993581036,
        2.9274643695659717,
        2.9274779397738397,
        2.9274915099817074,
        2.9275050801895754,
        2.927518650397443,
        2.927532220605311,
        2.927545790813179,
        2.9275593610210464,
        2.9275729312289145,
        2.9275865014367826,
        2.9276000716446506,
        2.9276136418525183,
        2.927627212060386,
        2.927640782268254,
        2.9276543524761216,
        2.9276679226839892,
        2.9276814928918578,
        2.9276950630997254,
        2.9277086333075935,
        2.927722203515461,
        2.9277357737233287,
        2.927749343931197,
        2.9277629141390644,
        2.927776484346933,
        2.9277900545548,
        2.927803624762668,
        2.9278171949705363,
        2.927830765178404,
        2.927844335386272,
        2.927857905594139,
        2.9278714758020077,
        2.9278850460098758,
        2.9278986162177434,
        2.927912186425611,
        2.9279257566334786,
        2.9279393268413467,
        2.927952897049215,
        2.9279664672570824,
        2.9279800374649505,
        2.927993607672818,
        2.928007177880686,
        2.9280207480885543,
        2.9280343182964215,
        2.9280478885042895,
        2.928061458712158,
        2.9280750289200257,
        2.9280885991278933,
        2.928102169335761,
        2.928115739543629,
        2.928129309751497,
        2.9281428799593647,
        2.928156450167233,
        2.9281700203751004,
        2.9281835905829685,
        2.9281971607908366,
        2.9282107309987038,
        2.928224301206572,
        2.9282378714144395,
        2.928251441622308,
        2.9282650118301756,
        2.9282785820380433,
        2.9282921522459113,
        2.928305722453779,
        2.928319292661647,
        2.9283328628695147,
        2.9283464330773827,
        2.928360003285251,
        2.9283735734931184,
        2.928387143700986,
        2.928400713908854,
        2.9284142841167218,
        2.92842785432459,
        2.928441424532458,
        2.9284549947403256,
        2.9284685649481936,
        2.9284821351560613,
        2.9284957053639293,
        2.9285092755717965,
        2.9285228457796646,
        2.928536415987533,
        2.9285499861954007,
        2.928563556403269,
        2.928577126611136,
        2.928590696819004,
        2.928604267026872,
        2.92861783723474,
        2.928631407442608,
        2.9286449776504755,
        2.9286585478583436,
        2.9286721180662116,
        2.928685688274079,
        2.928699258481947,
        2.9287128286898145,
        2.928726398897683,
        2.928739969105551,
        2.9287535393134183,
        2.9287671095212864,
        2.928780679729154,
        2.928794249937022,
        2.9288078201448897,
        2.928821390352758,
        2.928834960560626,
        2.9288485307684935,
        2.9288621009763616,
        2.928875671184229,
        2.928889241392097,
        2.928902811599965,
        2.928916381807833,
        2.9289299520157006,
        2.9289435222235687,
        2.9289570924314363,
        2.9289706626393044,
        2.9289842328471716,
        2.9289978030550397,
        2.929011373262908,
        2.929024943470776,
        2.929038513678644,
        2.929052083886511,
        2.929065654094379,
        2.929079224302247,
        2.929092794510115,
        2.929106364717983,
        2.9291199349258505,
        2.9291335051337186,
        2.9291470753415867,
        2.9291606455494543,
        2.929174215757322,
        2.92918778596519,
        2.929201356173058,
        2.929214926380926,
        2.9292284965887934,
        2.9292420667966614,
        2.9292556370045295,
        2.929269207212397,
        2.9292827774202648,
        2.929296347628133,
        2.929309917836001,
        2.929323488043869,
        2.9293370582517366,
        2.9293506284596043,
        2.929364198667472,
        2.92937776887534,
        2.9293913390832085,
        2.9294049092910757,
        2.9294184794989437,
        2.9294320497068114,
        2.9294456199146794,
        2.9294591901225475,
        2.9294727603304147,
        2.9294863305382832,
        2.929499900746151,
        2.929513470954019,
        2.9295270411618866,
        2.929540611369754,
        2.9295541815776223,
        2.92956775178549,
        2.929581321993358,
        2.929594892201226,
        2.9296084624090937,
        2.9296220326169617,
        2.9296356028248294,
        2.929649173032697,
        2.929662743240565,
        2.929676313448433,
        2.9296898836563012,
        2.9297034538641684,
        2.9297170240720365,
        2.9297305942799046,
        2.929744164487772,
        2.9297577346956407,
        2.929771304903508,
        2.929784875111376,
        2.929798445319244,
        2.9298120155271117,
        2.9298255857349793,
        2.929839155942847,
        2.9298527261507155,
        2.9298662963585835,
        2.929879866566451,
        2.929893436774319,
        2.9299070069821864,
        2.9299205771900545,
        2.9299341473979226,
        2.92994771760579,
        2.9299612878136583,
        2.929974858021526,
        2.929988428229394,
        2.9300019984372616,
        2.9300155686451292,
        2.9300291388529973,
        2.9300427090608654,
        2.930259832386751,
        2.930273402594619,
        2.9302869728024867,
        2.9303005430103544,
        2.9303141132182224,
        2.9303276834260905,
        2.9303412536339586,
        2.930354823841826,
        2.930368394049694,
        2.930381964257562,
        2.9303955344654296,
        2.9304091046732976,
        2.9304226748811653,
        2.9304362450890333,
        2.9304498152969014,
        2.930463385504769,
        2.930476955712637,
        2.9304905259205043,
        2.9305040961283724,
        2.930517666336241,
        2.9305312365441085,
        2.930544806751976,
        2.930558376959844,
        2.930571947167712,
        2.93058551737558,
        2.9305990875834476,
        2.9306126577913156,
        2.9306262279991833,
        2.9306397982070513,
        2.9306533684149194,
        2.9306669386227866,
        2.9306805088306547,
        2.9306940790385223,
        2.930707649246391,
        2.9307212194542585,
        2.930734789662126,
        2.930748359869994,
        2.930761930077862,
        2.93077550028573,
        2.9307890704935975,
        2.9308026407014656,
        2.9308162109093336,
        2.9308297811172013,
        2.930843351325069,
        2.930856921532937,
        2.9308704917408046,
        2.9308840619486727,
        2.9308976321565408,
        2.9309112023644084,
        2.9309247725722765,
        2.930938342780144,
        2.930951912988012,
        2.9309654831958794,
        2.9309790534037474,
        2.930992623611616,
        2.9310061938194836,
        2.931019764027351,
        2.931033334235219,
        2.931046904443087,
        2.931060474650955,
        2.9310740448588226,
        2.9310876150666907,
        2.9311011852745583,
        2.9311147554824264,
        2.9311283256902945,
        2.9311418958981617,
        2.9311554661060297,
        2.9311690363138974,
        2.931182606521766,
        2.931196176729634,
        2.931209746937501,
        2.931223317145369,
        2.9312368873532373,
        2.931250457561105,
        2.9312640277689725,
        2.9312775979768406,
        2.9312911681847087,
        2.9313047383925768,
        2.9313183086004444,
        2.931331878808312,
        2.9313454490161797,
        2.9313590192240477,
        2.9313725894319163,
        2.9313861596397834,
        2.9313997298476515,
        2.931413300055519,
        2.931426870263387,
        2.931440440471255,
        2.9314540106791225,
        2.931467580886991,
        2.9314811510948586,
        2.9314947213027267,
        2.9315082915105943,
        2.931521861718462,
        2.93153543192633,
        2.9315490021341977,
        2.9315625723420657,
        2.931576142549934,
        2.9315897127578014,
        2.9316032829656695,
        2.931616853173537,
        2.931630423381405,
        2.931643993589273,
        2.931657563797141,
        2.931671134005009,
        2.931684704212876,
        2.9316982744207443,
        2.9317118446286123,
        2.93172541483648,
        2.9317389850443476,
        2.9317525552522157,
        2.9317661254600837,
        2.931779695667952,
        2.9317932658758195,
        2.931806836083687,
        2.9318204062915547,
        2.931833976499423,
        2.9318475467072913,
        2.9318611169151585,
        2.9318746871230266,
        2.931888257330894,
        2.9319018275387623,
        2.9319153977466303,
        2.9319289679544975,
        2.931942538162366,
        2.9319561083702337,
        2.9319696785781018,
        2.9319832487859694,
        2.931996818993837,
        2.932010389201705,
        2.9320239594095727,
        2.9320375296174412,
        2.932051099825309,
        2.9320646700331765,
        2.9320782402410446,
        2.932091810448912,
        2.93210538065678,
        2.9321189508646484,
        2.932132521072516,
        2.932146091280384,
        2.9321596614882512,
        2.9321732316961193,
        2.9321868019039874,
        2.932200372111855,
        2.9322139423197235,
        2.9322275125275907,
        2.932241082735459,
        2.932254652943327,
        2.9322682231511945,
        2.932281793359062,
        2.9322953635669298,
        2.9323089337747983,
        2.9323225039826664,
        2.932336074190534,
        2.9323496443984016,
        2.9323632146062697,
        2.9323767848141373,
        2.9323903550220054,
        2.932403925229873,
        2.932417495437741,
        2.932431065645609,
        2.932444635853477,
        2.9324582060613444,
        2.932471776269212,
        2.93248534647708,
        2.9324989166849487,
        2.9325124868928163,
        2.932526057100684,
        2.932621048555759,
        2.932634618763627,
        2.9326481889714944,
        2.9326617591793624,
        2.93267532938723,
        2.9326888995950986,
        2.9327024698029662,
        2.932716040010834,
        2.932729610218702,
        2.9327431804265696,
        2.932756750634437,
        2.9327703208423053,
        2.9327838910501733,
        2.9327974612580414,
        2.932811031465909,
        2.9328246016737767,
        2.9328381718816448,
        2.9328517420895124,
        2.9328653122973805,
        2.932878882505248,
        2.932892452713116,
        2.9329060229209842,
        2.932919593128852,
        2.93293316333672,
        2.932946733544587,
        2.932960303752455,
        2.9329738739603237,
        2.9329874441681913,
        2.933001014376059,
        2.9330145845839266,
        2.9330281547917947,
        2.9330417249996628,
        2.9330552952075304,
        2.9330688654153985,
        2.933082435623266,
        2.933096005831134,
        2.9331095760390022,
        2.9331231462468694,
        2.9331367164547375,
        2.933150286662605,
        2.9331638568704737,
        2.9331774270783413,
        2.933190997286209,
        2.933204567494077,
        2.9332181377019446,
        2.9332317079098127,
        2.9332452781176803,
        2.9332588483255484,
        2.9332724185334165,
        2.933285988741284,
        2.9332995589491517,
        2.93331312915702,
        2.9333266993648874,
        2.9333402695727555,
        2.933353839780624,
        2.933367409988491,
        2.9333809801963593,
        2.933394550404227,
        2.933408120612095,
        2.9334216908199626,
        2.9334352610278303,
        2.9334488312356988,
        2.9334624014435664,
        2.933475971651434,
        2.933489541859302,
        2.9335031120671697,
        2.933516682275038,
        2.9335302524829054,
        2.9335438226907735,
        2.9335573928986416,
        2.933570963106509,
        2.9335845333143773,
        2.9335981035222445,
        2.9336116737301126,
        2.9336252439379806,
        2.9336388141458487,
        2.933652384353717,
        2.933665954561584,
        2.93388307788747,
        2.9338966480953377,
        2.9339102183032053,
        2.933923788511074,
        2.9339373587189415,
        2.9339509289268095,
        2.933964499134677,
        2.933978069342545,
        2.933991639550413,
        2.9340052097582805,
        2.9340187799661486,
        2.9340323501740166,
        2.9340459203818843,
        2.9340594905897524,
        2.93407306079762,
        2.9340866310054876,
        2.9341002012133557,
        2.9341137714212238,
        2.934127341629092,
        2.934140911836959,
        2.934154482044827,
        2.934168052252695,
        2.934181622460563,
        2.9341951926684304,
        2.9342087628762985,
        2.9342223330841666,
        2.9342359032920347,
        2.9342494734999023,
        2.93426304370777,
        2.9342766139156375,
        2.9342901841235056,
        2.934303754331374,
        2.9343173245392413,
        2.9343308947471094,
        2.934344464954977,
        2.934358035162845,
        2.934371605370713,
        2.9343851755785804,
        2.934398745786449,
        2.934412315994317,
        2.9344258862021846,
        2.934439456410052,
        2.93445302661792,
        2.934466596825788,
        2.9344801670336564,
        2.9344937372415236,
        2.9345073074493917,
        2.9345208776572593,
        2.9345344478651274,
        2.9345480180729955,
        2.9345615882808627,
        2.934575158488731,
        2.934588728696599,
        2.934602298904467,
        2.9346158691123345,
        2.934629439320202,
        2.9346430095280702,
        2.934656579735938,
        2.9346701499438064,
        2.934683720151674,
        2.9346972903595416,
        2.9347108605674097,
        2.9347244307752773,
        2.934738000983145,
        2.934751571191013,
        2.934765141398881,
        2.934778711606749,
        2.934792281814617,
        2.9348058520224845,
        2.9348194222303525,
        2.934941554101163,
        2.9349551243090315,
        2.934968694516899,
        2.9349822647247668,
        2.9349958349326344,
        2.9350094051405025,
        2.9350229753483705,
        2.9350365455562377,
        2.9350501157641062,
        2.935063685971974,
        2.935077256179842,
        2.93509082638771,
        2.935104396595577,
        2.9351179668034453,
        2.935131537011313,
        2.9351451072191814,
        2.935158677427049,
        2.9351722476349167,
        2.9351858178427848,
        2.9351993880506524,
        2.93521295825852,
        2.935226528466388,
        2.935240098674256,
        2.9352536688821242,
        2.935267239089992,
        2.9352808092978595,
        2.9352943795057276,
        2.935307949713595,
        2.9353215199214633,
        2.935335090129331,
        2.935348660337199,
        2.935362230545067,
        2.9353758007529347,
        2.9353893709608028,
        2.93540294116867,
        2.935416511376538,
        2.9354300815844065,
        2.935443651792274,
        2.935457222000142,
        2.9354707922080094,
        2.9354843624158775,
        2.9354979326237456,
        2.935511502831613,
        2.9355250730394813,
        2.9355386432473494,
        2.935552213455217,
        2.935565783663085,
        2.9355793538709523,
        2.9355929240788203,
        2.935701485741763,
        2.9357150559496312,
        2.9357286261574993,
        2.9357421963653674,
        2.9357557665732346,
        2.9357693367811026,
        2.9357829069889703,
        2.9357964771968383,
        2.935810047404707,
        2.935823617612574,
        2.935837187820442,
        2.9358507580283097,
        2.935864328236178,
        2.9358778984440455,
        2.935891468651913,
        2.9359050388597816,
        2.9359186090676492,
        2.935932179275517,
        2.935945749483385,
        2.9359593196912526,
        2.9359728898991206,
        2.9359864601069883,
        2.9360000303148563,
        2.9360136005227244,
        2.9360950217699315,
        2.9361085919777996,
        2.936122162185667,
        2.936135732393535,
        2.936149302601403,
        2.9361628728092706,
        2.936176443017138,
        2.9361900132250063,
        2.9362035834328744,
        2.9362171536407424,
        2.9362307238486096,
        2.9362442940564777,
        2.9362578642643453,
        2.9362714344722134,
        2.936285004680082,
        2.936298574887949,
        2.936312145095817,
        2.936325715303685,
        2.936339285511553,
        2.9363528557194205,
        2.936366425927288,
        2.9363799961351567,
        2.9363935663430243,
        2.9364071365508924,
        2.93642070675876,
        2.9364342769666276,
        2.9364478471744957,
        2.9364614173823633,
        2.9364749875902314,
        2.9364885577980995,
        2.936502128005967,
        2.936515698213835,
        2.9365292684217033,
        2.9365428386295704,
        2.9365564088374385,
        2.9365699790453066,
        2.9365835492531747,
        2.9365971194610423,
        2.93661068966891,
        2.936624259876778,
        2.9366378300846456,
        2.9366514002925133,
        2.9366649705003818,
        2.9366785407082494,
        2.9366921109161175,
        2.936705681123985,
        2.9367192513318527,
        2.936732821539721,
        2.9367463917475884,
        2.936759961955457,
        2.936773532163324,
        2.9367871023711922,
        2.9368006725790603,
        2.936814242786928,
        2.936827812994796,
        2.9368413832026636,
        2.9368549534105317,
        2.9368685236184,
        2.9368820938262674,
        2.936895664034135,
        2.9369092342420027,
        2.9369228044498707,
        2.9369363746577393,
        2.9369499448656065,
        2.9369635150734745,
        2.936977085281342,
        2.9369906554892102,
        2.9370042256970783,
        2.9370177959049455,
        2.937031366112814,
        2.9370449363206816,
        2.9370585065285497,
        2.9370720767364173,
        2.937085646944285,
        2.937099217152153,
        2.9371127873600207,
        2.937126357567889,
        2.937139927775757,
        2.9371534979836245,
        2.9371670681914925,
        2.93718063839936,
        2.937194208607228,
        2.937207778815096,
        2.937221349022964,
        2.937234919230832,
        2.937248489438699,
        2.9372620596465673,
        2.9372756298544354,
        2.937289200062303,
        2.937302770270171,
        2.9373163404780387,
        2.9373299106859068,
        2.937343480893775,
        2.9373570511016425,
        2.93737062130951,
        2.9373841915173777,
        2.937397761725246,
        2.9374113319331143,
        2.937424902140982,
        2.9374384723488496,
        2.937452042556717,
        2.9374656127645853,
        2.9374791829724534,
        2.9374927531803205,
        2.937506323388189,
        2.9375198935960567,
        2.9375334638039248,
        2.937547034011793,
        2.93756060421966,
        2.937574174427528,
        2.937587744635396,
        2.9376013148432643,
        2.937614885051132,
        2.9376284552589995,
        2.9376420254668676,
        2.9376555956747357,
        2.937669165882603,
        2.937682736090471,
        2.937696306298339,
        2.937709876506207,
        2.937723446714075,
        2.9377370169219423,
        2.9377505871298104,
        2.937764157337678,
        2.937777727545546,
        2.937791297753414,
        2.9378591487927532,
        2.937872719000621,
        2.9378862892084894,
        2.937899859416357,
        2.9379134296242246,
        2.9379269998320927,
        2.9379405700399603,
        2.9379541402478284,
        2.9379677104556956,
        2.937981280663564,
        2.937994850871432,
        2.9380084210793,
        2.938021991287168,
        2.938035561495035,
        2.938049131702903,
        2.9380627019107712,
        2.938646220849089,
        2.938659791056957,
        2.9386733612648253,
        2.9386869314726924,
        2.9387005016805605,
        2.9387140718884286,
        2.938727642096296,
        2.9387412123041647,
        2.938754782512032,
        2.9387683527199,
        2.938781922927768,
        2.9387954931356357,
        2.9388090633435033,
        2.938822633551371,
        2.9388362037592395,
        2.9388497739671076,
        2.938863344174975,
        2.938876914382843,
        2.9388904845907105,
        2.9389040547985785,
        2.9389176250064466,
        2.9389311952143142,
        2.9389447654221823,
        2.93895833563005,
        2.938971905837918,
        2.938985476045786,
        2.9389990462536533,
        2.9390126164615213,
        2.9390261866693894,
        2.9390397568772575,
        2.939053327085125,
        2.9390668972929928,
        2.939080467500861,
        2.9390940377087285,
        2.939107607916596,
        2.9391211781244646,
        2.9391347483323322,
        2.9391483185402003,
        2.939161888748068,
        2.9391754589559356,
        2.9391890291638036,
        2.9392025993716717,
        2.93921616957954,
        2.939229739787407,
        2.939243309995275,
        2.939256880203143,
        2.9392704504110108,
        2.939284020618879,
        2.9392975908267465,
        2.9393111610346145,
        2.9393247312424826,
        2.9393383014503502,
        2.939351871658218,
        2.9393654418660855,
        2.9393790120739536,
        2.939392582281822,
        2.9394061524896893,
        2.9394197226975574,
        2.939433292905425,
        2.939446863113293,
        2.939460433321161,
        2.939731837478518,
        2.939745407686386,
        2.939758977894254,
        2.939772548102122,
        2.9397861183099896,
        2.9397996885178577,
        2.9398132587257253,
        2.939826828933593,
        2.939840399141461,
        2.9398539693493286,
        2.939867539557197,
        2.939881109765065,
        2.9398946799729324,
        2.9399082501808005,
        2.939921820388668,
        2.939935390596536,
        2.9399489608044034,
        2.939962531012272,
        2.93997610122014,
        2.9399896714280076,
        2.9400032416358752,
        2.940016811843743,
        2.940030382051611,
        2.940043952259479,
        2.940057522467347,
        2.9400710926752147,
        2.940152513922422,
        2.94016608413029,
        2.940179654338158,
        2.940193224546025,
        2.9402067947538932,
        2.940220364961761,
        2.940233935169629,
        2.940247505377497,
        2.9402610755853646,
        2.9402746457932327,
        2.9402882160011004,
        2.9403017862089684,
        2.940315356416836,
        2.9403289266247037,
        2.940342496832572,
        2.94035606704044,
        2.9403696372483075,
        2.9403832074561755,
        2.940396777664043,
        2.9404103478719112,
        2.9404239180797784,
        2.940437488287647,
        2.940532479742722,
        2.9405460499505898,
        2.9405596201584574,
        2.9405731903663255,
        2.9405867605741935,
        2.940600330782061,
        2.940613900989929,
        2.940627471197797,
        2.940641041405665,
        2.940654611613533,
        2.9406681818214,
        2.9406817520292683,
        2.940695322237136,
        2.940708892445004,
        2.9427647789369846,
        2.944847805844702,
        2.944861376052569,
        2.9448749462604376,
        2.9448885164683056,
        2.9449020866761733,
        2.944915656884041,
        2.9449292270919085,
        2.9449427972997766,
        2.9449563675076447,
        2.9449699377155127,
        2.9449835079233804,
        2.944997078131248,
        2.945010648339116,
        2.945024218546984,
        2.9450377887548513,
        2.9450513589627194,
        2.945064929170588,
        2.9450784993784556,
        2.9450920695863236,
        2.945105639794191,
        2.945119210002059,
        2.945132780209927,
        2.9451463504177946,
        2.9451599206256627,
        2.9451734908335303,
        2.9451870610413984,
        2.9452006312492665,
        2.945214201457134,
        2.9452277716650017,
        2.9452413418728693,
        2.945254912080738,
        2.945268482288606,
        2.945282052496473,
        2.945295622704341,
        2.945309192912209,
        2.945322763120077,
        2.9453363333279445,
        2.9453499035358126,
        2.9453634737436807,
        2.9453770439515483,
        2.9453906141594164,
        2.945404184367284,
        2.9454177545751516,
        2.9454313247830197,
        2.945444894990888,
        2.9454584651987554,
        2.9454720354066235,
        2.945485605614491,
        2.945499175822359,
        2.945512746030227,
        2.9455263162380945,
        2.945539886445963,
        2.9455534566538306,
        2.9455670268616987,
        2.945580597069566,
        2.945594167277434,
        2.945607737485302,
        2.9456213076931697,
        2.9456348779010377,
        2.9456484481089054,
        2.9456620183167734,
        2.9456755885246415,
        2.945689158732509,
        2.9457027289403768,
        2.9457162991482444,
        2.945729869356113,
        2.945743439563981,
        2.945757009771848,
        2.9457705799797163,
        2.945784150187584,
        2.945797720395452,
        2.94581129060332,
        2.9458248608111877,
        2.9458384310190557,
        2.9458520012269234,
        2.9458655714347914,
        2.945879141642659,
        2.9458927118505267,
        2.9459062820583948,
        2.945919852266263,
        2.945933422474131,
        2.9459469926819986,
        2.945960562889866,
        2.9459741330977343,
        2.945987703305602,
        2.9460012735134695,
        2.946014843721338,
        2.9460284139292057,
        2.9460419841370737,
        2.946055554344941,
        2.946069124552809,
        2.946082694760677,
        2.9460962649685447,
        2.9461098351764132,
        2.946123405384281,
        2.9461369755921485,
        2.9461505458000166,
        2.946164116007884,
        2.946177686215752,
        2.94619125642362,
        2.946204826631488,
        2.946218396839356,
        2.9462319670472237,
        2.9462455372550913,
        2.9462591074629594,
        2.946272677670827,
        2.946286247878695,
        2.9462998180865627,
        2.946313388294431,
        2.946326958502299,
        2.9463405287101665,
        2.946354098918034,
        2.9463676691259018,
        2.9463812393337703,
        2.9463948095416383,
        2.946408379749506,
        2.9464219499573736,
        2.9464355201652412,
        2.9464490903731093,
        2.9464626605809774,
        2.946476230788845,
        2.946489800996713,
        2.9465033712045807,
        2.946516941412449,
        2.946530511620317,
        2.946544081828184,
        2.946557652036052,
        2.94657122224392,
        2.9465847924517883,
        2.946598362659656,
        2.9466119328675235,
        2.9466255030753916,
        2.9466390732832592,
        2.9466526434911273,
        2.9466662136989954,
        2.946679783906863,
        2.946693354114731,
        2.9467069243225987,
        2.9467204945304664,
        2.9467340647383344,
        2.946747634946202,
        2.9467612051540706,
        2.9467747753619378,
        2.946788345569806,
        2.946801915777674,
        2.9468154859855415,
        2.9468290561934096,
        2.946842626401277,
        2.9468561966091453,
        2.9468697668170134,
        2.946883337024881,
        2.9468969072327487,
        2.9469104774406163,
        2.9469240476484844,
        2.9469376178563524,
        2.9469511880642205,
        2.946964758272088,
        2.9469783284799558,
        2.946991898687824,
        2.947005468895692,
        2.947019039103559,
        2.947032609311427,
        2.9470461795192953,
        2.9470597497271633,
        2.947073319935031,
        2.9470868901428986,
        2.9471004603507667,
        2.9471140305586347,
        2.9471276007665024,
        2.9471411709743704,
        2.947154741182238,
        2.947168311390106,
        2.9471818815979742,
        2.9471954518058414,
        2.9472090220137095,
        2.947222592221577,
        2.9472361624294456,
        2.9472497326373137,
        2.947263302845181,
        2.9481860769801957,
        2.948199647188064,
        2.948213217395931,
        2.948226787603799,
        2.948240357811667,
        2.948253928019535,
        2.948267498227403,
        2.9482810684352705,
        2.9482946386431386,
        2.9483082088510066,
        2.9483217790588743,
        2.948335349266742,
        2.9483489194746095,
        2.9483624896824776,
        2.948376059890346,
        2.9483896300982133,
        2.9484032003060814,
        2.948416770513949,
        2.948430340721817,
        2.948443910929685,
        2.9484574811375523,
        2.948471051345421,
        2.9484846215532885,
        2.9484981917611566,
        2.948511761969024,
        2.948525332176892,
        2.94853890238476,
        2.9485524725926275,
        2.948566042800496,
        2.9485796130083637,
        2.9485931832162313,
        2.9486067534240994,
        2.948620323631967,
        2.9486338938398347,
        2.9486474640477027,
        2.948661034255571,
        2.948674604463439,
        2.9487695959185136,
        2.9487831661263817,
        2.9487967363342493,
        2.948810306542117,
        2.9488238767499846,
        2.948837446957853,
        2.948851017165721,
        2.948864587373589,
        2.9488781575814564,
        2.948891727789324,
        2.948905297997192,
        2.94891886820506,
        2.948932438412928,
        2.948946008620796,
        2.9489595788286636,
        2.9489731490365316,
        2.9489867192443997,
        2.949000289452267,
        2.949013859660135,
        2.949027429868003,
        2.949041000075871,
        2.9490545702837387,
        2.9490681404916064,
        2.9490817106994744,
        2.949095280907342,
        2.9491088511152097,
        2.9491224213230782,
        2.949135991530946,
        2.949149561738814,
        2.9491631319466816,
        2.949176702154549,
        2.9491902723624173,
        2.949203842570285,
        2.9492174127781534,
        2.9492309829860206,
        2.9492445531938887,
        2.9492581234017567,
        2.9492716936096244,
        2.9492852638174925,
        2.94929883402536,
        2.949312404233228,
        2.9493259744410962,
        2.949339544648964,
        2.9493531148568315,
        2.9493666850646996,
        2.949380255272567,
        2.9493938254804353,
        2.9494073956883033,
        2.949420965896171,
        2.949434536104039,
        2.9494481063119067,
        2.9494616765197748,
        2.949475246727642,
        2.94948881693551,
        2.9495023871433785,
        2.949515957351246,
        2.949529527559114,
        2.9495430977669814,
        2.9495566679748495,
        2.9495702381827176,
        2.949583808390585,
        2.9495973785984533,
        2.949610948806321,
        2.949624519014189,
        2.949638089222057,
        2.9496516594299242,
        2.9496652296377923,
        2.94967879984566,
        2.9496923700535285,
        2.9497059402613965,
        2.9497195104692637,
        2.949733080677132,
        2.9497466508849994,
        2.9497602210928675,
        2.949773791300735,
        2.949787361508603,
        2.9498009317164713,
        2.949814501924339,
        2.9498280721322065,
        2.9498416423400746,
        2.9498552125479423,
        2.9498687827558103,
        2.9498823529636784,
        2.949895923171546,
        2.949909493379414,
        2.9499230635872817,
        2.94993663379515,
        2.949950204003017,
        2.949963774210885,
        2.9499773444187536,
        2.949990914626621,
        2.9500044848344893,
        2.9500180550423565,
        2.9500316252502246,
        2.9500451954580926,
        2.9500587656659603,
        2.9500723358738283,
        2.950085906081696,
        2.950099476289564,
        2.950113046497432,
        2.9501266167052997,
        2.9501401869131674,
        2.950153757121035,
        2.9501673273289035,
        2.9501808975367716,
        2.950194467744639,
        2.950208037952507,
        2.9502216081603745,
        2.9502351783682426,
        2.95024874857611,
        2.9502623187839783,
        2.9502758889918463,
        2.9502894591997144,
        2.950303029407582,
        2.9503165996154497,
        2.9503301698233173,
        2.9503437400311854,
        2.950357310239054,
        2.950370880446921,
        2.950384450654789,
        2.950398020862657,
        2.950411591070525,
        2.950425161278393,
        2.95043873148626,
        2.9504523016941286,
        2.9504658719019963,
        2.9504794421098643,
        2.950493012317732,
        2.9505065825255996,
        2.9505201527334677,
        2.9505337229413353,
        2.9505472931492034,
        2.9505608633570715,
        2.950574433564939,
        2.950588003772807,
        2.950601573980675,
        2.9506151441885424,
        2.9506287143964105,
        2.9506422846042786,
        2.9506558548121467,
        2.950669425020014,
        2.950682995227882,
        2.95069656543575,
        2.9507101356436176,
        2.9507237058514857,
        2.9507372760593533,
        2.9507508462672214,
        2.9507644164750895,
        2.950777986682957,
        2.9507915568908247,
        2.9508051270986924,
        2.9508186973065604,
        2.950832267514429,
        2.950845837722296,
        2.950859407930164,
        2.950872978138032,
        2.9508865483459,
        2.950900118553768,
        2.950913688761635,
        2.9509272589695037,
        2.9509408291773713,
        2.9509543993852394,
        2.950967969593107,
        2.9509815398009747,
        2.9509951100088427,
        2.9510086802167104,
        2.951022250424579,
        2.9510358206324465,
        2.951049390840314,
        2.951062961048182,
        2.95107653125605,
        2.9510901014639175,
        2.951103671671786,
        2.9511172418796536,
        2.9511308120875217,
        2.9511443822953893,
        2.951157952503257,
        2.951171522711125,
        2.9511850929189927,
        2.951198663126861,
        2.9512122333347284,
        2.9512258035425964,
        2.9512393737504645,
        2.951252943958332,
        2.9512665141662,
        2.9512800843740674,
        2.951293654581936,
        2.951307224789804,
        2.9513207949976716,
        2.9513343652055393,
        2.951347935413407,
        2.951361505621275,
        2.951375075829143,
        2.9513886460370107,
        2.9514022162448788,
        2.951415786452747,
        2.9514293566606145,
        2.9514429268684825,
        2.9514564970763497,
        2.951470067284218,
        2.9514836374920863,
        2.951497207699954,
        2.951578628947161,
        2.9515921991550287,
        2.9516057693628968,
        2.951619339570765,
        2.951632909778632,
        2.9516464799865,
        2.9516600501943677,
        2.9516736204022362,
        2.951687190610104,
        2.9517007608179715,
        2.9517143310258396,
        2.951727901233707,
        2.9517414714415753,
        2.951755041649443,
        2.951768611857311,
        2.951782182065179,
        2.9517957522730467,
        2.9518093224809143,
        2.9518228926887824,
        2.95183646289665,
        2.951850033104518,
        2.9518636033123857,
        2.951877173520254,
        2.951890743728122,
        2.9519043139359895,
        2.9519178841438576,
        2.9519314543517248,
        2.951945024559593,
        2.9519585947674614,
        2.951972164975329,
        2.9519857351831966,
        2.9519993053910643,
        2.9520128755989323,
        2.9520264458068004,
        2.952040016014668,
        2.952053586222536,
        2.9520671564304037,
        2.952080726638272,
        2.95209429684614,
        2.952107867054007,
        2.952121437261875,
        2.9521350074697428,
        2.9521485776776113,
        2.9521621478854794,
        2.9521757180933466,
        2.9521892883012146,
        2.9522028585090823,
        2.9522164287169503,
        2.952229998924818,
        2.952243569132686,
        2.952257139340554,
        2.9522707095484217,
        2.9522842797562894,
        2.9522978499641575,
        2.952311420172025,
        2.952324990379893,
        2.9523385605877612,
        2.952352130795629,
        2.952365701003497,
        2.9523792712113646,
        2.9523928414192326,
        2.9524064116271,
        2.952419981834968,
        2.9524335520428364,
        2.952447122250704,
        2.952460692458572,
        2.9524742626664398,
        2.9524878328743074,
        2.9525014030821755,
        2.952514973290043,
        2.952528543497911,
        2.9525421137057792,
        2.952555683913647,
        2.952569254121515,
        2.952582824329382,
        2.95259639453725,
        2.9526099647451183,
        2.9526235349529864,
        2.9526371051608544,
        2.9526506753687216,
        2.9526642455765897,
        2.9526778157844578,
        2.9526913859923254,
        2.952704956200193,
        2.952718526408061,
        2.952732096615929,
        2.9527456668237972,
        2.952759237031665,
        2.9527728072395325,
        2.9527863774474,
        2.952799947655268,
        2.9528135178631367,
        2.952827088071004,
        2.952840658278872,
        2.9528542284867396,
        2.9528677986946077,
        2.9528813689024758,
        2.952894939110343,
        2.9529085093182115,
        2.952922079526079,
        2.952935649733947,
        2.952949219941815,
        2.9529627901496824,
        2.9529763603575505,
        2.952989930565418,
        2.953003500773286,
        2.9530170709811543,
        2.953030641189022,
        2.95304421139689,
        2.9530577816047576,
        2.9530713518126253,
        2.9530849220204933,
        2.9530984922283614,
        2.9531120624362295,
        2.9531256326440967,
        2.9531392028519647,
        2.953152773059833,
        2.9531663432677004,
        2.9531799134755685,
        2.953193483683436,
        2.9532070538913042,
        2.9532206240991723,
        2.95323419430704,
        2.9532477645149076,
        2.953261334722775,
        2.9532749049306433,
        2.953288475138512,
        2.953302045346379,
        2.953315615554247,
        2.9533291857621147,
        2.9533427559699827,
        2.953356326177851,
        2.953369896385718,
        2.9533834665935865,
        2.953397036801454,
        2.9534106070093222,
        2.95342417721719,
        2.9534377474250575,
        2.9534513176329256,
        2.953464887840794,
        2.9534784580486617,
        2.9534920282565293,
        2.953505598464397,
        2.953519168672265,
        2.953532738880133,
        2.9535463090880003,
        2.953559879295869,
        2.95418410885779,
        2.954197679065658,
        2.9542112492735257,
        2.954224819481394,
        2.954238389689262,
        2.9542519598971295,
        2.954265530104997,
        2.9542791003128652,
        2.954292670520733,
        2.954306240728601,
        2.954319810936469,
        2.9543333811443366,
        2.9543469513522047,
        2.9543605215600723,
        2.9543740917679404,
        2.9543876619758076,
        2.9544012321836757,
        2.954414802391544,
        2.954428372599412,
        2.9544419428072795,
        2.954455513015147,
        2.954469083223015,
        2.9544826534308832,
        2.954496223638751,
        2.954509793846619,
        2.9545233640544866,
        2.9545369342623546,
        2.9545505044702227,
        2.95456407467809,
        2.954577644885958,
        2.954591215093826,
        2.954604785301694,
        2.954618355509562,
        2.9546319257174294,
        2.9546454959252975,
        2.9546590661331655,
        2.954672636341033,
        2.954686206548901,
        2.954699776756769,
        2.954713346964637,
        2.954726917172505,
        2.954740487380372,
        2.9547540575882403,
        2.95520187444788,
        2.9552154446557477,
        2.9552290148636153,
        2.955242585071483,
        2.955256155279351,
        2.9552697254872196,
        2.9552832956950867,
        2.955296865902955,
        2.9553104361108224,
        2.9553240063186905,
        2.955337576526558,
        2.955351146734426,
        2.9553647169422943,
        2.955378287150162,
        2.95539185735803,
        2.9554054275658976,
        2.9554189977737653,
        2.9554325679816333,
        2.955446138189501,
        2.955459708397369,
        2.955473278605237,
        2.9554868488131047,
        2.955500419020973,
        2.9555139892288405,
        2.955527559436708,
        2.955541129644576,
        2.9555546998524442,
        2.9555682700603123,
        2.9555818402681795,
        2.9555954104760476,
        2.9556089806839156,
        2.9556225508917833,
        2.9556361210996513,
        2.9556496913075194,
        2.955663261515387,
        2.955676831723255,
        2.9556904019311228,
        2.9557039721389904,
        2.9557175423468585,
        2.955731112554726,
        2.9557446827625946,
        2.955758252970462,
        2.95577182317833,
        2.955785393386198,
        2.9557989635940656,
        2.9558125338019337,
        2.955826104009801,
        2.9558396742176694,
        2.9558532444255374,
        2.955866814633405,
        2.9558803848412727,
        2.9558939550491403,
        2.9559075252570084,
        2.955921095464877,
        2.9559346656727445,
        2.955948235880612,
        2.95596180608848,
        2.955975376296348,
        2.955988946504216,
        2.956002516712083,
        2.9560160869199517,
        2.9562332102458373,
        2.956246780453705,
        2.956260350661573,
        2.9562739208694406,
        2.9562874910773087,
        2.9563010612851763,
        2.9563146314930444,
        2.9563282017009125,
        2.95634177190878,
        2.956355342116648,
        2.9563689123245154,
        2.9563824825323834,
        2.956396052740252,
        2.9564096229481196,
        2.9564231931559872,
        2.956436763363855,
        2.956450333571723,
        2.956463903779591,
        2.956477473987458,
        2.9564910441953267,
        2.9565046144031943,
        2.9565181846110624,
        2.9565317548189305,
        2.9565453250267977,
        2.9565588952346658,
        2.9565724654425334,
        2.956586035650402,
        2.9565996058582695,
        2.956613176066137,
        2.9566267462740052,
        2.9566403164818733,
        2.956653886689741,
        2.9566674568976086,
        2.9566810271054766,
        2.9566945973133447,
        2.956708167521213,
        2.95672173772908,
        2.956735307936948,
        2.9567488781448157,
        2.9567624483526838,
        2.956776018560552,
        2.9567895887684195,
        2.9568031589762875,
        2.956816729184155,
        2.9568302993920232,
        2.956843869599891,
        2.9568574398077585,
        2.956871010015627,
        2.9568845802234947,
        2.9568981504313623,
        2.9569117206392304,
        2.956925290847098,
        2.956938861054966,
        2.9569524312628337,
        2.9573595374988697,
        2.957373107706738,
        2.9573866779146054,
        2.957400248122473,
        2.957413818330341,
        2.9574273885382087,
        2.957440958746077,
        2.957522379993284,
        2.957535950201152,
        2.95754952040902,
        2.9575630906168873,
        2.9575766608247553,
        2.9575902310326234,
        2.957603801240491,
        2.9576173714483587,
        2.9576309416562268,
        2.957644511864095,
        2.957658082071963,
        2.9576716522798305,
        2.957685222487698,
        2.957698792695566,
        2.957712362903434,
        2.9577259331113024,
        2.9577395033191696,
        2.9577530735270376,
        2.9577666437349057,
        2.9577802139427734,
        2.9577937841506414,
        2.9578073543585086,
        2.957820924566377,
        2.957834494774245,
        2.957848064982113,
        2.9578616351899805,
        2.957875205397848,
        2.957888775605716,
        2.9579023458135842,
        2.957915916021452,
        2.95792948622932,
        2.9579430564371876,
        2.9579566266450557,
        2.9579701968529237,
        2.957983767060791,
        2.957997337268659,
        2.958010907476527,
        2.958024477684395,
        2.9580380478922628,
        2.9580516181001304,
        2.9580651883079985,
        2.958078758515866,
        2.958092328723734,
        2.9581058989316023,
        2.95811946913947,
        2.958133039347338,
        2.9581466095552056,
        2.958160179763073,
        2.9581737499709413,
        2.958187320178809,
        2.9582008903866774,
        2.9582144605945446,
        2.9582280308024127,
        2.9582416010102808,
        2.9582551712181484,
        2.9582687414260165,
        2.958282311633884,
        2.958295881841752,
        2.9583094520496203,
        2.958323022257488,
        2.9583365924653555,
        2.958485864751902,
        2.95849943495977,
        2.958513005167638,
        2.9585265753755055,
        2.9585401455833735,
        2.958553715791241,
        2.9585672859991097,
        2.9585808562069773,
        2.958594426414845,
        2.958607996622713,
        2.9586215668305806,
        2.9586351370384483,
        2.9586487072463163,
        2.9586622774541844,
        2.9586758476620525,
        2.95868941786992,
        2.9587029880777878,
        2.958716558285656,
        2.9587301284935235,
        2.9587436987013915,
        2.958757268909259,
        2.9587708391171272,
        2.9587844093249953,
        2.958797979532863,
        2.9588115497407306,
        2.9588251199485986,
        2.9588386901564663,
        2.958852260364335,
        2.9588658305722024,
        2.95887940078007,
        2.958892970987938,
        2.9589065411958058,
        2.958920111403674,
        2.958933681611541,
        2.9589472518194095,
        2.9589608220272776,
        2.9589743922351452,
        2.9589879624430133,
        2.9590015326508805,
        2.9590151028587486,
        2.9590286730666167,
        2.9590422432744847,
        2.9590558134823524,
        2.95906938369022,
        2.959082953898088,
        2.959096524105956,
        2.9591100943138238,
        2.9591236645216914,
        2.9591372347295595,
        2.9591508049374275,
        2.9591643751452956,
        2.959177945353163,
        2.959191515561031,
        2.9592050857688985,
        2.9592186559767666,
        2.9592322261846347,
        2.9592457963925023,
        2.9592593666003704,
        2.959272936808238,
        2.959286507016106,
        2.9593000772239737,
        2.9593136474318413,
        2.95932721763971,
        2.9593407878475775,
        2.961505236002501,
        2.9637239649888962,
        2.9637375351967643,
        2.963751105404632,
        2.9637646756125005,
        2.963778245820368,
        2.9637918160282357,
        2.963805386236104,
        2.9638189564439714,
        2.9638325266518395,
        2.9638460968597067,
        2.963859667067575,
        2.9638732372754433,
        2.963886807483311,
        2.963900377691179,
        2.963913947899046,
        2.9639275181069142,
        2.9639410883147823,
        2.9639546585226504,
        2.963968228730518,
        2.9639817989383856,
        2.9639953691462537,
        2.964008939354122,
        2.9640225095619894,
        2.964036079769857,
        2.964049649977725,
        2.964063220185593,
        2.9640767903934613,
        2.9640903606013285,
        2.9641039308091965,
        2.9641175010170646,
        2.9641310712249322,
        2.9641446414328003,
        2.964158211640668,
        2.964171781848536,
        2.964185352056404,
        2.9641989222642717,
        2.9642124924721394,
        2.964226062680007,
        2.9642396328878755,
        2.9642532030957436,
        2.9642667733036108,
        2.964280343511479,
        2.9642939137193465,
        2.9643074839272145,
        2.9643210541350826,
        2.9643346243429503,
        2.9643481945508183,
        2.964361764758686,
        2.964375334966554,
        2.9643889051744217,
        2.9644024753822893,
        2.9644160455901574,
        2.9644296157980254,
        2.964443186005893,
        2.964456756213761,
        2.9644703264216288,
        2.964483896629497,
        2.9644974668373645,
        2.964511037045232,
        2.9645246072531006,
        2.9645381774609683,
        2.9645517476688363,
        2.9645653178767035,
        2.9645788880845716,
        2.9645924582924397,
        2.9646060285003073,
        2.964619598708176,
        2.964633168916043,
        2.964646739123911,
        2.964660309331779,
        2.964673879539647,
        2.9646874497475144,
        2.964701019955382,
        2.9647145901632506,
        2.9647281603711186,
        2.9647417305789863,
        2.964755300786854,
        2.9647688709947215,
        2.9647824412025896,
        2.9647960114104577,
        2.9648095816183253,
        2.9648231518261934,
        2.964836722034061,
        2.964850292241929,
        2.9648638624497967,
        2.9648774326576643,
        2.9648910028655324,
        2.9649045730734005,
        2.9649181432812686,
        2.964931713489136,
        2.964945283697004,
        2.964958853904872,
        2.9649724241127395,
        2.964985994320607,
        2.9649995645284757,
        2.9650131347363433,
        2.9650267049442114,
        2.965040275152079,
        2.9650538453599466,
        2.9650674155678147,
        2.9650809857756824,
        2.965094555983551,
        2.965108126191418,
        2.965121696399286,
        2.965135266607154,
        2.965148836815022,
        2.9651624070228895,
        2.9651759772307575,
        2.9651895474386256,
        2.9652031176464937,
        2.9652166878543613,
        2.965230258062229,
        2.965243828270097,
        2.9652573984779647,
        2.9652709686858327,
        2.9652845388937004,
        2.9652981091015684,
        2.9653116793094365,
        2.965325249517304,
        2.965338819725172,
        2.9653523899330394,
        2.965365960140908,
        2.965379530348776,
        2.9653931005566436,
        2.9654066707645113,
        2.965420240972379,
        2.965433811180247,
        2.965447381388115,
        2.9654609515959827,
        2.9654745218038507,
        2.9654880920117184,
        2.9655016622195864,
        2.9655152324274545,
        2.9655288026353217,
        2.9655423728431898,
        2.965555943051058,
        2.965569513258926,
        2.9655830834667936,
        2.965596653674661,
        2.9656102238825293,
        2.965623794090397,
        2.965637364298265,
        2.965650934506133,
        2.9656645047140007,
        2.9656780749218687,
        2.9656916451297364,
        2.965705215337604,
        2.965718785545472,
        2.9657323557533397,
        2.9657459259612082,
        2.9657594961690754,
        2.9657730663769435,
        2.9657866365848116,
        2.965800206792679,
        2.9658137770005473,
        2.9658273472084145,
        2.965840917416283,
        2.965854487624151,
        2.9658680578320187,
        2.9658816280398863,
        2.965895198247754,
        2.965908768455622,
        2.96592233866349,
        2.965935908871358,
        2.965949479079226,
        2.9659630492870934,
        2.9659766194949615,
        2.9659901897028296,
        2.9660037599106968,
        2.966017330118565,
        2.966030900326433,
        2.966044470534301,
        2.966058040742169,
        2.9660716109500362,
        2.9660851811579043,
        2.966098751365772,
        2.96611232157364,
        2.966125891781508,
        2.9661394619893757,
        2.966153032197244,
        2.966166602405112,
        2.966180172612979,
        2.966193742820847,
        2.9662073130287148,
        2.9662208832365833,
        2.9662344534444514,
        2.9662480236523185,
        2.9662615938601866,
        2.9662751640680542,
        2.9662887342759223,
        2.96630230448379,
        2.966315874691658,
        2.966329444899526,
        2.9663430151073937,
        2.966356585315262,
        2.9663701555231294,
        2.966383725730997,
        2.966397295938865,
        2.966410866146733,
        2.966424436354601,
        2.966438006562469,
        2.9664515767703366,
        2.9664651469782046,
        2.966478717186072,
        2.96649228739394,
        2.9665058576018084,
        2.966519427809676,
        2.966532998017544,
        2.9665465682254113,
        2.9665601384332794,
        2.9665737086411474,
        2.966587278849015,
        2.966600849056883,
        2.966614419264751,
        2.966627989472619,
        2.9667229809276936,
        2.9667365511355617,
        2.9667501213434293,
        2.9667636915512974,
        2.9667772617591655,
        2.966790831967033,
        2.966804402174901,
        2.966817972382769,
        2.966831542590637,
        2.9668451127985045,
        2.966858683006372,
        2.96687225321424,
        2.9668858234221083,
        2.966899393629976,
        2.966912963837844,
        2.9669265340457116,
        2.9669401042535797,
        2.9669536744614473,
        2.966967244669315,
        2.9669808148771835,
        2.966994385085051,
        2.967007955292919,
        2.9670215255007863,
        2.9670350957086544,
        2.9670486659165225,
        2.96706223612439,
        2.9670758063322586,
        2.967089376540126,
        2.967102946747994,
        2.967116516955862,
        2.9671300871637296,
        2.9671436573715972,
        2.967157227579465,
        2.9671707977873334,
        2.9671843679952015,
        2.9671979382030687,
        2.9672115084109367,
        2.9672250786188044,
        2.9672386488266724,
        2.9672522190345405,
        2.967265789242408,
        2.967279359450276,
        2.9672929296581443,
        2.967306499866012,
        2.9673200700738795,
        2.967333640281747,
        2.9673472104896153,
        2.9673607806974838,
        2.9673743509053514,
        2.967387921113219,
        2.9674014913210867,
        2.9674150615289547,
        2.967428631736823,
        2.96744220194469,
        2.9674557721525585,
        2.967469342360426,
        2.967482912568294,
        2.9674964827761623,
        2.9675100529840295,
        2.9675236231918976,
        2.967537193399765,
        2.9675507636076337,
        2.9675643338155013,
        2.967577904023369,
        2.967591474231237,
        2.9676050444391047,
        2.9676186146469723,
        2.9676321848548404,
        2.9676457550627084,
        2.9676593252705765,
        2.967672895478444,
        2.967686465686312,
        2.96770003589418,
        2.9677136061020475,
        2.9677271763099156,
        2.967740746517783,
        2.9677543167256513,
        2.9677678869335193,
        2.967781457141387,
        2.967795027349255,
        2.9678085975571222,
        2.9678221677649907,
        2.967835737972859,
        2.9678493081807265,
        2.967862878388594,
        2.9678764485964617,
        2.96789001880433,
        2.967903589012198,
        2.9679171592200655,
        2.9679307294279336,
        2.967944299635801,
        2.9679578698436693,
        2.9679714400515373,
        2.9679850102594045,
        2.9679985804672726,
        2.9680121506751407,
        2.9680257208830088,
        2.9680392910908764,
        2.968052861298744,
        2.968066431506612,
        2.9680800017144797,
        2.968093571922348,
        2.968107142130216,
        2.9681207123380835,
        2.9681342825459516,
        2.968147852753819,
        2.968161422961687,
        2.968174993169555,
        2.9681885633774225,
        2.968202133585291,
        2.9682157037931587,
        2.9682292740010263,
        2.9682428442088944,
        2.968256414416762,
        2.96826998462463,
        2.9684056867033086,
        2.9684192569111767,
        2.9684328271190443,
        2.9684463973269124,
        2.9684599675347796,
        2.9684735377426477,
        2.968487107950516,
        2.968500678158384,
        2.968514248366252,
        2.968527818574119,
        2.968541388781987,
        2.9687178014842694,
        2.968731371692137,
        2.968744941900005,
        2.968758512107873,
        2.968772082315741,
        2.968785652523609,
        2.9687992227314766,
        2.9688127929393446,
        2.9688263631472123,
        2.96883993335508,
        2.968853503562948,
        2.968867073770816,
        2.9688806439786837,
        2.9688942141865517,
        2.9689077843944194,
        2.9689213546022875,
        2.9689349248101546,
        2.9689484950180227,
        2.9689620652258912,
        2.968975635433759,
        2.968989205641627,
        2.969002775849494,
        2.969016346057362,
        2.9690299162652303,
        2.969043486473098,
        2.969057056680966,
        2.9690706268888336,
        2.9690841970967017,
        2.9690977673045698,
        2.9691113375124374,
        2.969124907720305,
        2.9691384779281726,
        2.969152048136041,
        2.9691656183439092,
        2.9691791885517764,
        2.9691927587596445,
        2.969206328967512,
        2.96921989917538,
        2.969233469383248,
        2.969247039591116,
        2.969260609798984,
        2.9692741800068516,
        2.9692877502147197,
        2.9693013204225873,
        2.969314890630455,
        2.969328460838323,
        2.9693420310461915,
        2.9693556012540587,
        2.969369171461927,
        2.9693827416697944,
        2.9693963118776625,
        2.9694098820855306,
        2.9694234522933978,
        2.9694370225012663,
        2.969450592709134,
        2.969464162917002,
        2.9694777331248696,
        2.9694913033327373,
        2.9695048735406053,
        2.969518443748473,
        2.9698848393609056,
        2.969898409568773,
        2.9699119797766413,
        2.969925549984509,
        2.969939120192377,
        2.9699526904002447,
        2.9699662606081123,
        2.9699798308159804,
        2.969993401023848,
        2.9700069712317165,
        2.970020541439584,
        2.970034111647452,
        2.97004768185532,
        2.9700612520631875,
        2.970074822271055,
        2.970088392478923,
        2.9701019626867913,
        2.9701155328946593,
        2.970129103102527,
        2.9701426733103946,
        2.9703733668441483,
        2.9703869370520164,
        2.970400507259884,
        2.970414077467752,
        2.97042764767562,
        2.9704412178834874,
        2.9704547880913554,
        2.970468358299224,
        2.9704819285070916,
        2.970495498714959,
        2.970509068922827,
        2.970522639130695,
        2.970536209338563,
        2.9705497795464306,
        2.9705633497542987,
        2.9705769199621663,
        2.970726192248713,
        2.9707397624565806,
        2.9707533326644486,
        2.9707669028723167,
        2.9707804730801843,
        2.970794043288052,
        2.97080761349592,
        2.9708211837037877,
        2.9708347539116557,
        2.970848324119524,
        2.9708618943273915,
        2.9708754645352595,
        2.970889034743127,
        2.9709026049509952,
        2.9709161751588624,
        2.9709297453667305,
        2.970943315574599,
        2.9709568857824666,
        2.9709704559903347,
        2.970984026198202,
        2.97099759640607,
        2.971011166613938,
        2.9710247368218057,
        2.9710383070296738,
        2.9710518772375414,
        2.9716489663837273,
        2.9716625365915954,
        2.971676106799463,
        2.971689677007331,
        2.9717032472151987,
        2.9718253790860096,
        2.9718389492938773,
        2.9718525195017453,
        2.9718660897096134,
        2.9718796599174806,
        2.971893230125349,
        2.9719068003332167,
        2.971920370541085,
        2.9719339407489525,
        2.97194751095682,
        2.971961081164688,
        2.971974651372556,
        2.9719882215804243,
        2.972001791788292,
        2.9720153619961596,
        2.9722189151141776,
        2.972232485322045,
        2.972246055529913,
        2.972259625737781,
        2.9722731959456494,
        2.972286766153517,
        2.9723003363613847,
        2.9723139065692523,
        2.9723274767771204,
        2.9723410469849885,
        2.9723546171928557,
        2.972368187400724,
        2.972381757608592,
        2.972883855299703,
        2.97289742550757,
        2.9729109957154383,
        2.972924565923307,
        2.9729381361311744,
        2.972951706339042,
        2.9729652765469097,
        2.9729788467547777,
        2.972992416962646,
        2.9730059871705135,
        2.9730195573783815,
        2.973033127586249,
        2.9730466977941172,
        2.9730602680019853,
        2.9730738382098525,
        2.9730874084177206,
        2.973100978625588,
        2.9731145488334567,
        2.9731281190413243,
        2.973141689249192,
        2.97315525945706,
        2.9731688296649277,
        2.9731823998727958,
        2.9731959700806634,
        2.9732095402885315,
        2.9732231104963995,
        2.973236680704267,
        2.973250250912135,
        2.973263821120003,
        2.9732773913278705,
        2.9732909615357386,
        2.9733045317436066,
        2.9733181019514743,
        2.9733316721593424,
        2.97334524236721,
        2.973358812575078,
        2.9733723827829452,
        2.9733859529908133,
        2.973399523198682,
        2.9734130934065495,
        2.973426663614417,
        2.9734402338222847,
        2.973453804030153,
        2.973467374238021,
        2.9734809444458885,
        2.9734945146537566,
        2.973508084861624,
        2.9735216550694923,
        2.9735352252773604,
        2.9735487954852275,
        2.9735623656930956,
        2.9735759359009633,
        2.9735895061088318,
        2.9736030763167,
        2.973616646524567,
        2.973630216732435,
        2.973643786940303,
        2.973657357148171,
        2.9736709273560384,
        2.9736844975639065,
        2.9736980677717746,
        2.9737116379796427,
        2.9737252081875103,
        2.973738778395378,
        2.9737523486032456,
        2.9737659188111136,
        2.973874480474057,
        2.9738880506819245,
        2.9739016208897926,
        2.9739151910976602,
        2.973928761305528,
        2.973942331513396,
        2.9739559017212636,
        2.9739694719291316,
        2.9739830421369997,
        2.9739966123448673,
        2.9740101825527354,
        2.974023752760603,
        2.9740373229684707,
        2.9740508931763388,
        2.974064463384207,
        2.974078033592075,
        2.974091603799942,
        2.97410517400781,
        2.9741187442156782,
        2.974132314423546,
        2.9741458846314135,
        2.9741594548392816,
        2.9741730250471496,
        2.9741865952550177,
        2.9742001654628853,
        2.974213735670753,
        2.9742273058786206,
        2.9742408760864887,
        2.974254446294357,
        2.9742680165022244,
        2.9742815867100925,
        2.97429515691796,
        2.9745122802438457,
        2.974525850451714,
        2.974539420659582,
        2.97455299086745,
        2.974566561075317,
        2.974580131283185,
        2.9745937014910533,
        2.974607271698921,
        2.974620841906789,
        2.9746344121146566,
        2.9746479823225247,
        2.9746615525303928,
        2.9746751227382604,
        2.974688692946128,
        2.974702263153996,
        2.9747158333618637,
        2.9747294035697323,
        2.9747429737776,
        2.9747565439854675,
        2.9752043608451073,
        2.975217931052975,
        2.9752315012608426,
        2.9752450714687106,
        2.9752586416765783,
        2.9752722118844463,
        2.975285782092314,
        2.975353633131653,
        2.975367203339521,
        2.9753807735473896,
        2.9753943437552572,
        2.975407913963125,
        2.9754214841709925,
        2.9754350543788606,
        2.9754486245867287,
        2.9754621947945963,
        2.9754757650024644,
        2.975489335210332,
        2.9755029054182,
        2.975516475626068,
        2.9755300458339353,
        2.9755436160418034,
        2.975557186249671,
        2.9755707564575395,
        2.975584326665407,
        2.975597896873275,
        2.975611467081143,
        2.9756250372890105,
        2.9756386074968786,
        2.975652177704746,
        2.9756657479126143,
        2.9756793181204824,
        2.9756928883283504,
        2.9757064585362176,
        2.9757200287440857,
        2.9757335989519533,
        2.9757471691598214,
        2.97576073936769,
        2.975774309575557,
        2.975787879783425,
        2.975801449991293,
        2.975815020199161,
        2.9758285904070285,
        2.975842160614896,
        2.9758557308227647,
        2.9758693010306323,
        2.9758828712385004,
        2.975896441446368,
        2.9759100116542356,
        2.9759235818621037,
        2.9759371520699713,
        2.9759507222778394,
        2.9759642924857075,
        2.975977862693575,
        2.975991432901443,
        2.9760050031093104,
        2.9760185733171785,
        2.9760321435250465,
        2.9760457137329146,
        2.9760592839407827,
        2.97607285414865,
        2.976086424356518,
        2.976099994564386,
        2.9761135647722536,
        2.9761271349801213,
        2.9761407051879893,
        2.9761542753958574,
        2.9761678456037255,
        2.9763578285138754,
        2.976371398721743,
        2.9763849689296107,
        2.9763985391374788,
        2.9764121093453464,
        2.9764256795532145,
        2.9764392497610825,
        2.97645281996895,
        2.9764663901768182,
        2.976479960384686,
        2.9764935305925535,
        2.9765071008004216,
        2.9765206710082897,
        2.9765342412161577,
        2.976547811424025,
        2.976561381631893,
        2.976574951839761,
        2.9765885220476287,
        2.9766020922554963,
        2.9766156624633644,
        2.9766292326712325,
        2.9766428028791005,
        2.976656373086968,
        2.976669943294836,
        2.9766835135027034,
        2.9766970837105715,
        2.97671065391844,
        2.976724224126307,
        2.9767377943341753,
        2.9769549176600614,
        2.9769684878679286,
        2.9769820580757966,
        2.9769956282836647,
        2.977009198491533,
        2.9770227686994004,
        2.977036338907268,
        2.977049909115136,
        2.9770634793230037,
        2.977077049530872,
        2.97709061973874,
        3.2533664817205237,
        3.5297237649495146,
        3.5297373351573826,
        3.5297509053652503,
        3.529764475573118,
        3.529778045780986,
        3.5297916159888536,
        3.5298051861967217,
        3.52981875640459,
        3.5298323266124574,
        3.5298458968203255,
        3.529859467028193,
        3.5298730372360607,
        3.529886607443929,
        3.5299001776517964,
        3.529913747859665,
        3.5299273180675326,
        3.5299408882754006,
        3.5299544584832683,
        3.529968028691136,
        3.529981598899004,
        3.529995169106871,
        3.5300087393147397,
        3.5300223095226078,
        3.5300358797304754,
        3.5300494499383435,
        3.5300630201462107,
        3.5300765903540787,
        3.530090160561947,
        3.530103730769815,
        3.5301173009776825,
        3.53013087118555,
        3.530144441393418,
        3.5301580116012863,
        3.530171581809154,
        3.5301851520170215,
        3.5301987222248896,
        3.5302122924327577,
        3.5302258626406258,
        3.530239432848493,
        3.530253003056361,
        3.5302665732642287,
        3.5302801434720967,
        3.5302937136799653,
        3.5303072838878324,
        3.5303208540957005,
        3.530334424303568,
        3.5303479945114358,
        3.530361564719304,
        3.5303751349271715,
        3.53038870513504,
        3.5304022753429076,
        3.5304158455507757,
        3.5304294157586433,
        3.530442985966511,
        3.530456556174379,
        3.530470126382246,
        3.5304836965901147,
        3.530497266797983,
        3.5305108370058504,
        3.5305244072137185,
        3.530537977421586,
        3.530551547629454,
        3.530565117837322,
        3.53057868804519,
        3.5305922582530576,
        3.530605828460925,
        3.5306193986687933,
        3.5306329688766613,
        3.530646539084529,
        3.530660109292397,
        3.5306736795002647,
        3.5306872497081327,
        3.530700819916001,
        3.530714390123868,
        3.530727960331736,
        3.530741530539604,
        3.530755100747472,
        3.5307686709553403,
        3.530782241163208,
        3.5307958113710756,
        3.5308093815789436,
        3.5308229517868113,
        3.530836521994679,
        3.5308500922025465,
        3.530863662410415,
        3.530877232618283,
        3.5308908028261508,
        3.5309043730340184,
        3.530917943241886,
        3.530931513449754,
        3.530945083657622,
        3.53095865386549,
        3.530972224073358,
        3.5309857942812255,
        3.5309993644890936,
        3.5310129346969616,
        3.531026504904829,
        3.531040075112697,
        3.531053645320565,
        3.5310672155284326,
        3.5310807857363007,
        3.5310943559441683,
        3.5311079261520364,
        3.531121496359904,
        3.531135066567772,
        3.53114863677564,
        3.531162206983508,
        3.531175777191376,
        3.531189347399243,
        3.531202917607111,
        3.531216487814979,
        3.531230058022847,
        3.5312436282307154,
        3.531257198438583,
        3.5312707686464506,
        3.5312843388543187,
        3.5312979090621863,
        3.531311479270054,
        3.5313250494779216,
        3.53133861968579,
        3.531352189893658,
        3.531365760101526,
        3.531379330309394,
        3.531392900517261,
        3.531406470725129,
        3.531420040932997,
        3.531433611140865,
        3.531447181348733,
        3.5314607515566006,
        3.5314743217644686,
        3.5314878919723367,
        3.5315014621802043,
        3.5315150323880724,
        3.53152860259594,
        3.531542172803808,
        3.5315557430116757,
        3.5315693132195434,
        3.5315828834274114,
        3.531596453635279,
        3.5316100238431476,
        3.5316235940510152,
        3.531637164258883,
        3.531650734466751,
        3.5316643046746186,
        3.531677874882486,
        3.5316914450903543,
        3.5317050152982223,
        3.5317185855060904,
        3.5317321557139585,
        3.5317457259218257,
        3.5317592961296937,
        3.5317728663375614,
        3.531786436545429,
        3.5318000067532975,
        3.531813576961165,
        3.5318271471690332,
        3.531840717376901,
        3.531854287584769,
        3.5318678577926366,
        3.531881428000504,
        3.5318949982083727,
        3.53190856841624,
        3.531922138624108,
        3.531935708831976,
        3.5319492790398437,
        3.5319628492477118,
        3.5319764194555794,
        3.5319899896634475,
        3.5320035598713155,
        3.532017130079183,
        3.532030700287051,
        3.5320442704949184,
        3.5320578407027865,
        3.5320714109106546,
        3.5320849811185226,
        3.5320985513263907,
        3.532112121534258,
        3.532125691742126,
        3.532139261949994,
        3.5321528321578612,
        3.5321664023657293,
        3.5321799725735974,
        3.5321935427814655,
        3.5322071129893335,
        3.532220683197201,
        3.532234253405069,
        3.5322478236129364,
        3.5322613938208045,
        3.5322749640286726,
        3.53228853423654,
        3.5323021044444083,
        3.532315674652276,
        3.532329244860144,
        3.5323428150680116,
        3.5323563852758793,
        3.5323699554837478,
        3.5323835256916154,
        3.532397095899483,
        3.532410666107351,
        3.5324242363152187,
        3.532437806523087,
        3.5324513767309544,
        3.5324649469388225,
        3.5324785171466906,
        3.532492087354558,
        3.532505657562426,
        3.5325192277702935,
        3.5325327979781616,
        3.5325463681860296,
        3.5325599383938977,
        3.5325735086017658,
        3.532587078809633,
        3.532600649017501,
        3.532614219225369,
        3.5326277894332363,
        3.5326413596411044,
        3.5326549298489724,
        3.5326685000568405,
        3.5326820702647086,
        3.5326956404725762,
        3.532709210680444,
        3.5327227808883115,
        3.5327363510961796,
        3.5327499213040476,
        3.5327634915119153,
        3.5327770617197833,
        3.5327906319276514,
        3.532804202135519,
        3.532817772343387,
        3.5328313425512543,
        3.532844912759123,
        3.532858482966991,
        3.532872053174858,
        3.532885623382726,
        3.532899193590594,
        3.532912763798462,
        3.53292633400633,
        3.532939904214198,
        3.5329534744220656,
        3.5329670446299333,
        3.5329806148378013,
        3.532994185045669,
        3.5330077552535366,
        3.5330213254614047,
        3.5330348956692728,
        3.533048465877141,
        3.5330620360850085,
        3.533075606292876,
        3.533089176500744,
        3.533102746708612,
        3.5331163169164794,
        3.533129887124348,
        3.5331434573322156,
        3.5331570275400837,
        3.5331705977479513,
        3.533184167955819,
        3.533197738163687,
        3.5332113083715546,
        3.5332248785794227,
        3.5332384487872903,
        3.5332520189951584,
        3.5332655892030265,
        3.533279159410894,
        3.533292729618762,
        3.5333062998266294,
        3.533319870034498,
        3.533333440242366,
        3.533347010450233,
        3.533360580658101,
        3.533374150865969,
        3.533387721073837,
        3.533401291281705,
        3.533414861489573,
        3.5334284316974407,
        3.5334420019053083,
        3.5334555721131764,
        3.533469142321044,
        3.5334827125289117,
        3.5334962827367797,
        3.533509852944648,
        3.533523423152516,
        3.533536993360384,
        3.533550563568251,
        3.533564133776119,
        3.533577703983987,
        3.5335912741918545,
        3.533604844399723,
        3.5336184146075906,
        3.5336319848154587,
        3.5336455550233263,
        3.5336591252311944,
        3.533672695439062,
        3.5336862656469297,
        3.533699835854798,
        3.5337134060626654,
        3.5337269762705334,
        3.5337405464784015,
        3.533754116686269,
        3.5337676868941372,
        3.5337812571020044,
        3.533794827309873,
        3.533808397517741,
        3.5338219677256086,
        3.5338355379334763,
        3.533849108141344,
        3.533862678349212,
        3.5338762485570805,
        3.533889818764948,
        3.5339033889728158,
        3.533916959180684,
        3.5339305293885515,
        3.5339440995964195,
        3.5339576698042867,
        3.5339712400121552,
        3.5339848102200233,
        3.533998380427891,
        3.534011950635759,
        3.534025520843626,
        3.5340390910514943,
        3.5340526612593623,
        3.53406623146723,
        3.534079801675098,
        3.5340933718829657,
        3.5341069420908338,
        3.534120512298702,
        3.5341340825065695,
        3.534147652714437,
        3.534161222922305,
        3.5341747931301732,
        3.534188363338041,
        3.5342019335459085,
        3.5342155037537766,
        3.534229073961644,
        3.5342426441695123,
        3.534256214377381,
        3.534269784585248,
        3.534283354793116,
        3.5342969250009837,
        3.5343104952088513,
        3.5343240654167194,
        3.534337635624587,
        3.5343512058324555,
        3.534364776040323,
        3.5343783462481912,
        3.534391916456059,
        3.5344054866639265,
        3.5344190568717946,
        3.5344326270796618,
        3.5344461972875303,
        3.5344597674953984,
        3.534473337703266,
        3.534486907911134,
        3.5345004781190013,
        3.5345140483268693,
        3.5345276185347374,
        3.5345411887426055,
        3.534554758950473,
        3.5345683291583407,
        3.534581899366209,
        3.534595469574077,
        3.5346090397819445,
        3.534622609989812,
        3.53463618019768,
        3.5346497504055483,
        3.5346633206134164,
        3.5346768908212836,
        3.5346904610291516,
        3.5347040312370193,
        3.5347176014448873,
        3.534731171652756,
        3.534744741860623,
        3.534758312068491,
        3.5347718822763587,
        3.5347854524842264,
        3.5347990226920945,
        3.534812592899962,
        3.5348261631078306,
        3.5348397333156982,
        3.5348533035235663,
        3.534866873731434,
        3.5348804439393016,
        3.5348940141471696,
        3.534907584355037,
        3.5349211545629053,
        3.5349347247707734,
        3.534948294978641,
        3.534961865186509,
        3.534975435394377,
        3.5349890056022444,
        3.5350025758101125,
        3.5350161460179805,
        3.535029716225848,
        3.5350432864337162,
        3.535056856641584,
        3.535070426849452,
        3.5350839970573196,
        3.535097567265187,
        3.5351111374730557,
        3.5351247076809234,
        3.5351382778887914,
        3.5351518480966586,
        3.5351654183045267,
        3.5351789885123948,
        3.5351925587202624,
        3.535206128928131,
        3.535219699135998,
        3.535233269343866,
        3.5352468395517342,
        3.535260409759602,
        3.5352739799674695,
        3.535287550175337,
        3.5353011203832057,
        3.5353146905910737,
        3.5353282607989414,
        3.535341831006809,
        3.5353554012146766,
        3.5353689714225447,
        3.5353825416304128,
        3.5353961118382804,
        3.5354096820461485,
        3.535423252254016,
        3.535436822461884,
        3.5354503926697523,
        3.5354639628776194,
        3.5354775330854875,
        3.5354911032933556,
        3.535504673501223,
        3.5355182437090913,
        3.535531813916959,
        3.535545384124827,
        3.5355589543326946,
        3.5355725245405623,
        3.5355860947484308,
        3.5355996649562984,
        3.5356132351641665,
        3.5356268053720337,
        3.5356403755799017,
        3.53565394578777,
        3.5356675159956374,
        3.535735367034977,
        3.5357489372428446,
        3.535762507450712,
        3.5357760776585807,
        3.535789647866449,
        3.5358032180743164,
        3.535816788282184,
        3.5358303584900517,
        3.5358439286979197,
        3.535857498905788,
        3.5358710691136555,
        3.5358846393215235,
        3.535898209529391,
        3.5359117797372592,
        3.5359253499451273,
        3.5359389201529945,
        3.5359524903608626,
        3.535966060568731,
        3.5359796307765987,
        3.5359932009844663,
        3.536006771192334,
        3.536020341400202,
        3.53603391160807,
        3.5360474818159378,
        3.536061052023806,
        3.5360746222316735,
        3.5360881924395415,
        3.536101762647409,
        3.536115332855277,
        3.536128903063145,
        3.5361424732710125,
        3.536156043478881,
        3.5361696136867486,
        3.5361831838946163,
        3.5362781753496915,
        3.536291745557559,
        3.536305315765427,
        3.536318885973295,
        3.5363324561811633,
        3.5363460263890305,
        3.5363595965968986,
        3.5363731668047667,
        3.5363867370126343,
        3.5364003072205024,
        3.5364138774283695,
        3.536427447636238,
        3.536441017844106,
        3.5364545880519738,
        3.5364681582598414,
        3.536481728467709,
        3.536495298675577,
        3.536508868883445,
        3.5365224390913133,
        3.536536009299181,
        3.5365495795070485,
        3.5365631497149166,
        3.536576719922784,
        3.536590290130652,
        3.53660386033852,
        3.536617430546388,
        3.536631000754256,
        3.536644570962124,
        3.5366581411699913,
        3.5366717113778594,
        3.536685281585727,
        3.5366988517935947,
        3.536712422001463,
        3.536725992209331,
        3.536739562417199,
        3.5367531326250665,
        3.5367667028329346,
        3.5367802730408022,
        3.53679384324867,
        3.5368074134565384,
        3.5368209836644056,
        3.5368345538722736,
        3.5368481240801417,
        3.5368616942880093,
        3.5368752644958774,
        3.5368888347037446,
        3.536902404911613,
        3.536915975119481,
        3.536929545327349,
        3.5369431155352165,
        3.536956685743084,
        3.536970255950952,
        3.5369838261588202,
        3.5369973963666883,
        3.537010966574556,
        3.5370245367824236,
        3.5370381069902916,
        3.5370516771981597,
        3.537065247406027,
        3.537078817613895,
        3.5370923878217635,
        3.537105958029631,
        3.537119528237499,
        3.5371330984453664,
        3.5371466686532345,
        3.5371602388611025,
        3.5371738090689697,
        3.5371873792768382,
        3.537200949484706,
        3.537214519692574,
        3.537228089900442,
        3.5372416601083096,
        3.5372552303161773,
        3.537268800524045,
        3.5372823707319134,
        3.537295940939781,
        3.5373095111476487,
        3.5373230813555168,
        3.5373366515633844,
        3.5373502217712525,
        3.5373637919791205,
        3.537377362186988,
        3.5373909323948562,
        3.537404502602724,
        3.5374180728105915,
        3.5374316430184596,
        3.537445213226327,
        3.5374587834341953,
        3.5374723536420634,
        3.5374859238499314,
        3.537499494057799,
        3.5375130642656667,
        3.5375266344735348,
        3.537540204681402,
        3.53755377488927,
        3.5375673450971385,
        3.537580915305006,
        3.5375944855128743,
        3.5376080557207414,
        3.5376216259286095,
        3.5376351961364776,
        3.537648766344345,
        3.5376623365522133,
        3.537675906760081,
        3.537689476967949,
        3.537703047175817,
        3.5377166173836847,
        3.5377301875915523,
        3.53774375779942,
        3.5377573280072885,
        3.5377708982151566,
        3.5377844684230237,
        3.537798038630892,
        3.5378116088387594,
        3.5378251790466275,
        3.5378387492544956,
        3.5378523194623632,
        3.5378658896702313,
        3.537879459878099,
        3.5378930300859666,
        3.5379066002938346,
        3.5379201705017023,
        3.5379337407095703,
        3.5379473109174384,
        3.5379608811253065,
        3.537974451333174,
        3.5379880215410417,
        3.53800159174891,
        3.538015161956777,
        3.538028732164645,
        3.5380423023725136,
        3.5380558725803812,
        3.5380694427882493,
        3.5380830129961174,
        3.5380965832039846,
        3.5381101534118526,
        3.5381237236197203,
        3.5381372938275883,
        3.5381508640354564,
        3.538164434243324,
        3.538178004451192,
        3.5381915746590598,
        3.538205144866928,
        3.5382187150747955,
        3.5382322852826635,
        3.5382458554905316,
        3.538259425698399,
        3.538272995906267,
        3.538286566114135,
        3.5383001363220026,
        3.5383137065298707,
        3.5383272767377387,
        3.5383408469456064,
        3.5383544171534744,
        3.538367987361342,
        3.5385308298557563,
        3.5385444000636244,
        3.5385579702714924,
        3.5385715404793596,
        3.5385851106872277,
        3.5385986808950958,
        3.5386122511029634,
        3.5386258213108315,
        3.538639391518699,
        3.538652961726567,
        3.538666531934435,
        3.538680102142303,
        3.538693672350171,
        3.5387072425580386,
        3.5387208127659067,
        3.538734382973774,
        3.538747953181642,
        3.53876152338951,
        3.5387750935973776,
        3.538788663805246,
        3.538802234013114,
        3.5388158042209814,
        3.5388293744288495,
        3.538842944636717,
        3.5388565148445847,
        3.5388700850524524,
        3.538883655260321,
        3.538897225468189,
        3.5389107956760566,
        3.5389243658839247,
        3.538937936091792,
        3.53895150629966,
        3.538965076507528,
        3.5389786467153956,
        3.5389922169232637,
        3.5390057871311313,
        3.5390193573389994,
        3.5390329275468675,
        3.539046497754735,
        3.5390600679626028,
        3.539073638170471,
        3.539087208378339,
        3.5391007785862065,
        3.539114348794074,
        3.5391279190019422,
        3.5391414892098103,
        3.539155059417678,
        3.539168629625546,
        3.5391821998334136,
        3.5391957700412817,
        3.53920934024915,
        3.539222910457017,
        3.539236480664885,
        3.5392500508727527,
        3.539263621080621,
        3.5392771912884893,
        3.5392907614963565,
        3.5393043317042245,
        3.539317901912092,
        3.53933147211996,
        3.539345042327828,
        3.539358612535696,
        3.539372182743564,
        3.5393857529514317,
        3.5393993231592997,
        3.5394128933671674,
        3.539426463575035,
        3.539440033782903,
        3.5394536039907707,
        3.5394671741986388,
        3.539480744406507,
        3.5394943146143745,
        3.5395078848222425,
        3.53952145503011,
        3.539535025237978,
        3.5395485954458463,
        3.539562165653714,
        3.5395757358615816,
        3.539589306069449,
        3.5396028762773173,
        3.5396164464851854,
        3.539630016693053,
        3.5396435869009215,
        3.5396571571087887,
        3.5396707273166568,
        3.539684297524525,
        3.539697867732392,
        3.53971143794026,
        3.5397250081481277,
        3.5397385783559963,
        3.5397521485638643,
        3.539765718771732,
        3.5397792889795996,
        3.5397928591874672,
        3.5398064293953353,
        3.539819999603203,
        3.539833569811071,
        3.539847140018939,
        3.5398607102268067,
        3.539874280434675,
        3.5398878506425424,
        3.53990142085041,
        3.539914991058278,
        3.539928561266146,
        3.539942131474014,
        3.539955701681882,
        3.5399692718897495,
        3.5399828420976176,
        3.5399964123054852,
        3.540009982513353,
        3.5400235527212214,
        3.540037122929089,
        3.5400506931369566,
        3.5400642633448243,
        3.5400778335526923,
        3.5400914037605604,
        3.540104973968428,
        3.5401185441762966,
        3.5401321143841638,
        3.540145684592032,
        3.5401592547999,
        3.540172825007767,
        3.540186395215635,
        3.540199965423503,
        3.5402135356313713,
        3.5402271058392394,
        3.540240676047107,
        3.5402542462549746,
        3.5402678164628427,
        3.5402813866707104,
        3.540294956878578,
        3.540308527086446,
        3.540322097294314,
        3.540335667502182,
        3.54034923771005,
        3.540362807917918,
        3.540376378125785,
        3.540389948333653,
        3.5404035185415217,
        3.540417088749389,
        3.540430658957257,
        3.5404442291651246,
        3.5404577993729927,
        3.5404713695808607,
        3.5404849397887284,
        3.5404985099965964,
        3.540512080204464,
        3.540525650412332,
        3.5405392206201998,
        3.5405527908280674,
        3.5405663610359355,
        3.540579931243803,
        3.5405935014516716,
        3.5406070716595393,
        3.540620641867407,
        3.540634212075275,
        3.5406477822831426,
        3.54066135249101,
        3.5406749226988783,
        3.5406884929067464,
        3.5407020631146144,
        3.540715633322482,
        3.5407292035303497,
        3.5407427737382178,
        3.5407563439460854,
        3.540769914153953,
        3.540783484361821,
        3.540797054569689,
        3.5408106247775573,
        3.540824194985425,
        3.540837765193293,
        3.54085133540116,
        3.5408649056090282,
        3.5408784758168967,
        3.540892046024764,
        3.540905616232632,
        3.5409191864404996,
        3.5409327566483677,
        3.540946326856236,
        3.540959897064104,
        3.5409734672719715,
        3.540987037479839,
        3.541000607687707,
        3.541014177895575,
        3.5410277481034425,
        3.5410413183113105,
        3.5410548885191786,
        3.5410684587270467,
        3.5410820289349147,
        3.541095599142782,
        3.54110916935065,
        3.5411227395585176,
        3.5411363097663853,
        3.541149879974254,
        3.5411634501821214,
        3.5411770203899895,
        3.541190590597857,
        3.541204160805725,
        3.541217731013593,
        3.5412313012214605,
        3.541244871429329,
        3.541258441637196,
        3.5412720118450642,
        3.5412855820529323,
        3.5412991522608,
        3.541312722468668,
        3.5413262926765356,
        3.5413398628844037,
        3.541353433092272,
        3.5413670033001394,
        3.541380573508007,
        3.541394143715875,
        3.5414077139237428,
        3.541421284131611,
        3.541434854339479,
        3.5414484245473465,
        3.5414619947552146,
        3.5414755649630822,
        3.5414891351709503,
        3.5415027053788175,
        3.5415162755866856,
        3.541529845794554,
        3.5415434160024217,
        3.54155698621029,
        3.541570556418157,
        3.541584126626025,
        3.541597696833893,
        3.5416112670417603,
        3.541624837249629,
        3.5416384074574965,
        3.5416519776653645,
        3.5416655478732326,
        3.5416791180811003,
        3.541692688288968,
        3.5417062584968355,
        3.541719828704704,
        3.5417333989125717,
        3.5417469691204393,
        3.5417605393283074,
        3.541774109536175,
        3.541787679744043,
        3.541801249951911,
        3.5418148201597788,
        3.541828390367647,
        3.5418419605755145,
        3.541855530783382,
        3.54186910099125,
        3.541882671199118,
        3.541896241406986,
        3.541909811614854,
        3.541923381822722,
        3.5419369520305897,
        3.5419505222384573,
        3.5419640924463254,
        3.5419776626541926,
        3.5419912328620606,
        3.542004803069929,
        3.542018373277797,
        3.542031943485665,
        3.542045513693532,
        3.5420590839014,
        3.542072654109268,
        3.542086224317136,
        3.542099794525004,
        3.5421133647328715,
        3.5421269349407396,
        3.5421405051486077,
        3.5421540753564753,
        3.542167645564343,
        3.5421812157722106,
        3.542194785980079,
        3.542208356187947,
        3.5422219263958143,
        3.5422354966036824,
        3.54224906681155,
        3.542262637019418,
        3.542276207227286,
        3.542289777435154,
        3.542303347643022,
        3.54231691785089,
        3.542330488058757,
        3.5423440582666252,
        3.542357628474493,
        3.542371198682361,
        3.5423847688902295,
        3.542398339098097,
        3.5424119093059647,
        3.5424254795138324,
        3.5424390497217004,
        3.542452619929568,
        3.5424661901374357,
        3.542479760345304,
        3.542493330553172,
        3.54250690076104,
        3.542520470968908,
        3.542534041176775,
        3.5425476113846432,
        3.542561181592511,
        3.542574751800379,
        3.542588322008247,
        3.5426018922161147,
        3.5426154624239827,
        3.5426290326318504,
        3.5426426028397184,
        3.542656173047586,
        3.542669743255454,
        3.542683313463322,
        3.5426968836711894,
        3.5427104538790575,
        3.5427240240869255,
        3.542737594294793,
        3.5427511645026613,
        3.5427647347105293,
        3.542778304918397,
        3.542791875126265,
        3.5428054453341327,
        3.5428190155420003,
        3.542832585749868,
        3.542846155957736,
        3.5428597261656045,
        3.542873296373472,
        3.5428868665813398,
        3.5429004367892074,
        3.5429140069970755,
        3.5429275772049436,
        3.542968287828547,
        3.542981858036415,
        3.542995428244283,
        3.5430089984521502,
        3.5430225686600183,
        3.543036138867886,
        3.543049709075754,
        3.543063279283622,
        3.5430768494914897,
        3.543090419699358,
        3.5431039899072254,
        3.5431175601150935,
        3.543131130322961,
        3.543144700530829,
        3.5431582707386973,
        3.5431718409465645,
        3.5431854111544325,
        3.5431989813623006,
        3.5432125515701682,
        3.5432261217780363,
        3.5432396919859044,
        3.543253262193772,
        3.54326683240164,
        3.5432804026095077,
        3.5432939728173753,
        3.543307543025243,
        3.543321113233111,
        3.5433346834409796,
        3.543348253648847,
        3.5433618238567153,
        3.5433753940645825,
        3.5433889642724505,
        3.5434025344803186,
        3.5434161046881862,
        3.5434296748960543,
        3.5434432451039224,
        3.54345681531179,
        3.543470385519658,
        3.5434839557275257,
        3.5434975259353934,
        3.543511096143262,
        3.5435246663511295,
        3.543538236558997,
        3.5435518067668648,
        3.543565376974733,
        3.543578947182601,
        3.5435925173904685,
        3.5436060875983366,
        3.5436196578062042,
        3.5436332280140723,
        3.5436467982219404,
        3.5436603684298076,
        3.5436739386376757,
        3.5436875088455433,
        3.543701079053412,
        3.54371464926128,
        3.543728219469147,
        3.543741789677015,
        3.5437553598848828,
        3.5437689300927504,
        3.5437825003006185,
        3.5437960705084866,
        3.5438096407163546,
        3.5438232109242223,
        3.5438367811320903,
        3.543850351339958,
        3.5438639215478256,
        3.5438774917556937,
        3.5438910619635613,
        3.5439046321714294,
        3.5439182023792974,
        3.543931772587165,
        3.543945342795033,
        3.543958913002901,
        3.5439724832107684,
        3.543986053418637,
        3.5439996236265046,
        3.544013193834372,
        3.54402676404224,
        3.544040334250108,
        3.544053904457976,
        3.5440674746658436,
        3.544081044873712,
        3.5440946150815793,
        3.5441081852894474,
        3.5441217554973155,
        3.5441353257051826,
        3.5441488959130507,
        3.5441624661209183,
        3.544176036328787,
        3.544189606536655,
        3.544203176744522,
        3.54421674695239,
        3.544230317160258,
        3.544243887368126,
        3.5442574575759935,
        3.5442710277838616,
        3.5442845979917297,
        3.5442981681995973,
        3.5443117384074654,
        3.544325308615333,
        3.5443388788232006,
        3.5443524490310687,
        3.544366019238937,
        3.5443795894468044,
        3.5443931596546725,
        3.54440672986254,
        3.544420300070408,
        3.5444338702782763,
        3.5444474404861435,
        3.544461010694012,
        3.5444745809018796,
        3.5444881511097472,
        3.5445017213176153,
        3.544515291525483,
        3.544528861733351,
        3.5445424319412187,
        3.544556002149087,
        3.544569572356955,
        3.5445831425648224,
        3.5445967127726905,
        3.5446102829805577,
        3.5446238531884258,
        3.544637423396294,
        3.544650993604162,
        3.54466456381203,
        3.544678134019897,
        3.5446917042277652,
        3.5447052744356333,
        3.544718844643501,
        3.5447324148513686,
        3.5447459850592367,
        3.5447595552671047,
        3.544773125474973,
        3.5447866956828404,
        3.544800265890708,
        3.5448138360985757,
        3.5448274063064438,
        3.5448409765143123,
        3.5448545467221795,
        3.5448681169300476,
        3.544881687137915,
        3.5448952573457833,
        3.5449088275536513,
        3.5449223977615185,
        3.544935967969387,
        3.5449495381772547,
        3.5449631083851227,
        3.5449766785929904,
        3.544990248800858,
        3.545003819008726,
        3.5450173892165937,
        3.5450309594244622,
        3.54504452963233,
        3.5450580998401975,
        3.5450716700480656,
        3.545085240255933,
        3.545098810463801,
        3.545112380671669,
        3.545125950879537,
        3.545139521087405,
        3.5451530912952727,
        3.5451666615031403,
        3.5451802317110084,
        3.545193801918876,
        3.5452073721267436,
        3.5452209423346117,
        3.54523451254248,
        3.545248082750348,
        3.5452616529582155,
        3.545275223166083,
        3.5452887933739508,
        3.545302363581819,
        3.5453159337896873,
        3.5453295039975545,
        3.5453430742054226,
        3.5453566444132902,
        3.5453702146211583,
        3.5453837848290264,
        3.5453973550368936,
        3.545410925244762,
        3.5454244954526297,
        3.545438065660498,
        3.5454516358683654,
        3.545465206076233,
        3.545478776284101,
        3.545492346491969,
        3.5455059166998373,
        3.545519486907705,
        3.5455330571155725,
        3.5455466273234406,
        3.5455601975313087,
        3.545573767739176,
        3.545587337947044,
        3.545600908154912,
        3.54561447836278,
        3.545628048570648,
        3.5456416187785154,
        3.5456551889863834,
        3.545668759194251,
        3.545682329402119,
        3.545695899609987,
        3.545709469817855,
        3.545723040025723,
        3.5457366102335905,
        3.5457501804414586,
        3.5457637506493263,
        3.5457773208571943,
        3.5457908910650624,
        3.5458044612729296,
        3.5458180314807977,
        3.5458316016886657,
        3.5458451718965334,
        3.5458587421044014,
        3.545872312312269,
        3.545885882520137,
        3.545899452728005,
        3.545913022935873,
        3.5459265931437405,
        3.545940163351608,
        3.545953733559476,
        3.5459673037673447,
        3.5459808739752123,
        3.54599444418308,
        3.5460080143909476,
        3.5460215845988157,
        3.5460351548066837,
        3.546048725014551,
        3.5460622952224194,
        3.546075865430287,
        3.546089435638155,
        3.5461030058460232,
        3.5461165760538904,
        3.5461301462617585,
        3.546143716469626,
        3.5461572866774946,
        3.5461708568853623,
        3.54618442709323,
        3.546197997301098,
        3.5462115675089656,
        3.5462251377168337,
        3.5462387079247013,
        3.5462522781325694,
        3.5462658483404375,
        3.5462794185483046,
        3.5462929887561727,
        3.546306558964041,
        3.5463201291719084,
        3.5463336993797765,
        3.5463472695876446,
        3.546360839795512,
        3.5463744100033803,
        3.546387980211248,
        3.5464015504191155,
        3.546415120626983,
        3.5464286908348512,
        3.5464422610427198,
        3.5464558312505874,
        3.5464694014584555,
        3.5464829716663226,
        3.5464965418741907,
        3.546510112082059,
        3.546523682289926,
        3.5465372524977945,
        3.546550822705662,
        3.54656439291353,
        3.5465779631213983,
        3.546591533329266,
        3.5466051035371335,
        3.5466186737450016,
        3.5466322439528697,
        3.5466458141607373,
        3.546659384368605,
        3.546672954576473,
        3.546686524784341,
        3.5467000949922087,
        3.5467136652000764,
        3.5467272354079444,
        3.5467408056158125,
        3.5467543758236806,
        3.5467679460315478,
        3.546781516239416,
        3.5467950864472835,
        3.5468086566551515,
        3.54682222686302,
        3.5468357970708873,
        3.5468493672787553,
        3.546862937486623,
        3.5468765076944906,
        3.5468900779023587,
        3.5469036481102263,
        3.546917218318095,
        3.5469307885259624,
        3.5469443587338305,
        3.546957928941698,
        3.5469714991495658,
        3.546985069357434,
        3.549393781253979,
        3.5519110548134676,
        3.551924625021335,
        3.5519381952292033,
        3.551951765437071,
        3.551965335644939,
        3.551978905852807,
        3.5519924760606743,
        3.5520060462685423,
        3.5520196164764104,
        3.552033186684278,
        3.552046756892146,
        3.5520603271000137,
        3.552073897307882,
        3.5520874675157494,
        3.5521010377236175,
        3.5521146079314856,
        3.552128178139353,
        3.5521417483472213,
        3.5521553185550885,
        3.5521688887629566,
        3.5521824589708246,
        3.5521960291786923,
        3.552209599386561,
        3.5522231695944284,
        3.552236739802296,
        3.552250310010164,
        3.5522638802180317,
        3.5522774504258994,
        3.552291020633767,
        3.5523045908416355,
        3.5523181610495036,
        3.5523317312573712,
        3.5523453014652393,
        3.5523588716731065,
        3.5523724418809746,
        3.5523860120888426,
        3.5523995822967103,
        3.5524131525045783,
        3.552426722712446,
        3.552440292920314,
        3.552453863128182,
        3.5524674333360498,
        3.5524810035439174,
        3.5524945737517855,
        3.5525081439596535,
        3.552521714167521,
        3.552535284375389,
        3.552548854583257,
        3.5525624247911245,
        3.5525759949989926,
        3.5525895652068606,
        3.5526031354147283,
        3.5526167056225963,
        3.552630275830464,
        3.5526438460383316,
        3.5526574162461997,
        3.5526709864540673,
        3.552684556661936,
        3.5526981268698035,
        3.552711697077671,
        3.552725267285539,
        3.552738837493407,
        3.5527524077012744,
        3.552765977909142,
        3.5527795481170106,
        3.5527931183248787,
        3.5528066885327463,
        3.5528202587406144,
        3.5528338289484815,
        3.5528473991563496,
        3.552860969364218,
        3.5528745395720853,
        3.5528881097799534,
        3.552901679987821,
        3.552915250195689,
        3.552928820403557,
        3.552942390611425,
        3.552955960819293,
        3.552969531027161,
        3.5529831012350286,
        3.552996671442896,
        3.553010241650764,
        3.553023811858632,
        3.5530373820665,
        3.553050952274368,
        3.553064522482236,
        3.5530780926901033,
        3.5530916628979714,
        3.5531052331058395,
        3.5531188033137067,
        3.5531323735215747,
        3.553145943729443,
        3.553159513937311,
        3.553173084145179,
        3.5531866543530466,
        3.5532002245609142,
        3.553213794768782,
        3.55322736497665,
        3.553240935184518,
        3.5532545053923856,
        3.5532680756002537,
        3.5532816458081213,
        3.5532952160159894,
        3.553308786223857,
        3.5533223564317247,
        3.553335926639593,
        3.553349496847461,
        3.5533630670553285,
        3.5533766372631965,
        3.553390207471064,
        3.5534037776789322,
        3.5534173478868,
        3.553430918094668,
        3.553444488302536,
        3.5534580585104036,
        3.5534716287182717,
        3.553485198926139,
        3.553498769134007,
        3.553512339341875,
        3.553525909549743,
        3.553539479757611,
        3.5535530499654784,
        3.5535666201733465,
        3.5535801903812145,
        3.5535937605890817,
        3.55360733079695,
        3.553620901004818,
        3.553634471212686,
        3.553648041420554,
        3.5536616116284216,
        3.5536751818362893,
        3.553688752044157,
        3.553702322252025,
        3.5537158924598935,
        3.5538380243307035,
        3.5538515945385716,
        3.553865164746439,
        3.5538787349543073,
        3.553892305162175,
        3.553905875370043,
        3.553919445577911,
        3.5539330157857787,
        3.5539465859936468,
        3.553960156201514,
        3.553973726409382,
        3.55398729661725,
        3.554000866825118,
        3.5540144370329863,
        3.554028007240854,
        3.5540415774487215,
        3.5540551476565896,
        3.5540687178644568,
        3.554082288072325,
        3.5540958582801934,
        3.554109428488061,
        3.554122998695929,
        3.5541365689037967,
        3.5541501391116643,
        3.5541637093195324,
        3.5541772795274,
        3.5541908497352686,
        3.5542044199431357,
        3.554217990151004,
        3.554231560358872,
        3.5542451305667395,
        3.5542587007746076,
        3.554272270982475,
        3.5542858411903433,
        3.5542994113982114,
        3.5543129816060786,
        3.5543265518139466,
        3.5543401220218143,
        3.5543536922296823,
        3.5543672624375504,
        3.554380832645418,
        3.554394402853286,
        3.5544079730611537,
        3.554421543269022,
        3.5544351134768895,
        3.554448683684757,
        3.554462253892625,
        3.5544758241004932,
        3.5544893943083613,
        3.554502964516229,
        3.5545165347240966,
        3.5545301049319646,
        3.5545436751398323,
        3.5545572453477,
        3.5545708155555684,
        3.554584385763436,
        3.554597955971304,
        3.5546115261791718,
        3.5546250963870394,
        3.5546386665949075,
        3.554652236802775,
        3.5546658070106436,
        3.554679377218511,
        3.554692947426379,
        3.554706517634247,
        3.5547200878421146,
        3.5547336580499826,
        3.55474722825785,
        3.5547607984657184,
        3.5547743686735864,
        3.5547879388814536,
        3.5548015090893217,
        3.5548150792971893,
        3.5548286495050574,
        3.5548422197129255,
        3.554855789920793,
        3.554869360128661,
        3.554882930336529,
        3.554896500544397,
        3.5549100707522645,
        3.554923640960132,
        3.554937211168,
        3.5549507813758683,
        3.5549643515837364,
        3.5549779217916044,
        3.5549914919994716,
        3.5550050622073397,
        3.5550186324152078,
        3.555032202623075,
        3.5550457728309435,
        3.555059343038811,
        3.555072913246679,
        3.5550864834545473,
        3.5551000536624144,
        3.5551136238702825,
        3.55512719407815,
        3.5551407642860187,
        3.5551543344938863,
        3.555167904701754,
        3.555181474909622,
        3.5551950451174896,
        3.5552086153253577,
        3.5552221855332258,
        3.5552357557410934,
        3.5552493259489615,
        3.555262896156829,
        3.5552764663646967,
        3.555290036572565,
        3.5553036067804324,
        3.555317176988301,
        3.555330747196168,
        3.5553443174040362,
        3.5553578876119043,
        3.555371457819772,
        3.5553850280276396,
        3.555398598235507,
        3.5554121684433757,
        3.555425738651244,
        3.5554393088591114,
        3.5554528790669795,
        3.5554664492748467,
        3.5554800194827147,
        3.555493589690583,
        3.5555071598984505,
        3.5555207301063185,
        3.555534300314186,
        3.5555478705220542,
        3.5555614407299223,
        3.5555750109377895,
        3.5555885811456576,
        3.5556021513535256,
        3.5556157215613937,
        3.5556292917692613,
        3.555642861977129,
        3.555656432184997,
        3.5556700023928647,
        3.5556835726007328,
        3.5556971428086013,
        3.5557107130164685,
        3.5557242832243365,
        3.555737853432204,
        3.555751423640072,
        3.55576499384794,
        3.5557785640558075,
        3.555792134263676,
        3.5558057044715436,
        3.5558192746794113,
        3.5558328448872794,
        3.555846415095147,
        3.5558599853030146,
        3.5558735555108822,
        3.5558871257187508,
        3.555900695926619,
        3.5559142661344865,
        3.5559278363423545,
        3.5559414065502217,
        3.55595497675809,
        3.555968546965958,
        3.555982117173826,
        3.5559956873816936,
        3.556009257589561,
        3.5560228277974293,
        3.5560363980052974,
        3.556049968213165,
        3.5560635384210326,
        3.5560771086289007,
        3.5560906788367688,
        3.5561042490446364,
        3.556117819252504,
        3.556131389460372,
        3.55614495966824,
        3.556158529876108,
        3.5561721000839763,
        3.5561856702918435,
        3.5561992404997116,
        3.5562128107075797,
        3.556226380915447,
        3.556239951123315,
        3.5562535213311826,
        3.556267091539051,
        3.556280661746919,
        3.5562942319547863,
        3.5563078021626544,
        3.556321372370522,
        3.55633494257839,
        3.5563485127862577,
        3.556362082994126,
        3.556375653201994,
        3.5563892234098615,
        3.5564027936177296,
        3.5564163638255977,
        3.556429934033465,
        3.556443504241333,
        3.556457074449201,
        3.5564706446570686,
        3.5564842148649367,
        3.5564977850728043,
        3.5565113552806724,
        3.55652492548854,
        3.5565384956964077,
        3.556552065904276,
        3.556565636112144,
        3.5565792063200115,
        3.556592776527879,
        3.556606346735747,
        3.5566199169436152,
        3.556633487151483,
        3.5566470573593514,
        3.556660627567219,
        3.5566741977750866,
        3.5566877679829547,
        3.5567013381908223,
        3.55671490839869,
        3.5567284786065576,
        3.556742048814426,
        3.556755619022294,
        3.556769189230162,
        3.5567827594380295,
        3.556796329645897,
        3.556809899853765,
        3.556823470061633,
        3.556837040269501,
        3.556850610477369,
        3.5568641806852366,
        3.5568777508931047,
        3.5568913211009727,
        3.55690489130884,
        3.556918461516708,
        3.556932031724576,
        3.5569456019324437,
        3.5569591721403118,
        3.5569727423481794,
        3.5569863125560475,
        3.556999882763915,
        3.5570134529717827,
        3.5570270231796512,
        3.557040593387519,
        3.5570541635953865,
        3.557067733803254,
        3.557081304011122,
        3.5570948742189903,
        3.557108444426858,
        3.5571220146347264,
        3.5571355848425945,
        3.5571491550504617,
        3.5571627252583298,
        3.5571762954661974,
        3.557189865674065,
        3.557203435881933,
        3.557217006089801,
        3.5572305762976693,
        3.557244146505537,
        3.5572577167134045,
        3.5572712869212726,
        3.55728485712914,
        3.557298427337008,
        3.557311997544876,
        3.557325567752744,
        3.557339137960612,
        3.5573527081684797,
        3.557366278376348,
        3.5573798485842154,
        3.557393418792083,
        3.5574069889999516,
        3.557420559207819,
        3.557434129415687,
        3.5574476996235544,
        3.5574612698314225,
        3.5574748400392906,
        3.5574884102471582,
        3.5575019804550263,
        3.557515550662894,
        3.557529120870762,
        3.5575426910786296,
        3.5575562612864973,
        3.5575698314943653,
        3.557583401702233,
        3.5575969719101015,
        3.5576105421179696,
        3.5576241123258368,
        3.557637682533705,
        3.5576512527415725,
        3.55766482294944,
        3.5576783931573086,
        3.5576919633651762,
        3.5577055335730443,
        3.557719103780912,
        3.5577326739887796,
        3.5577462441966476,
        3.5577598144045153,
        3.5577733846123833,
        3.557786954820251,
        3.557800525028119,
        3.557814095235987,
        3.5578276654438548,
        3.557841235651723,
        3.5578548058595905,
        3.5578683760674585,
        3.5578819462753266,
        3.5578955164831942,
        3.557909086691062,
        3.5579226568989295,
        3.5579362271067976,
        3.5579497973146657,
        3.5579633675225337,
        3.5579769377304014,
        3.557990507938269,
        3.558004078146137,
        3.5580176483540047,
        3.5580312185618723,
        3.5580447887697404,
        3.5580583589776085,
        3.5580719291854765,
        3.5580854993933446,
        3.5580990696012122,
        3.55811263980908,
        3.5581262100169475,
        3.5581397802248156,
        3.5581533504326837,
        3.5581669206405513,
        3.5581804908484194,
        3.5581940610562874,
        3.558207631264155,
        3.5582212014720227,
        3.5582347716798903,
        3.558248341887759,
        3.558261912095626,
        3.558275482303494,
        3.558289052511362,
        3.55830262271923,
        3.558316192927098,
        3.558329763134966,
        3.5583433333428336,
        3.5583569035507017,
        3.5583704737585693,
        3.558384043966437,
        3.558397614174305,
        3.5584111843821726,
        3.5584247545900407,
        3.558438324797909,
        3.5584518950057764,
        3.5584654652136445,
        3.558479035421512,
        3.5584926056293797,
        3.5585061758372474,
        3.5585197460451155,
        3.55868258853953,
        3.5586961587473978,
        3.5587097289552654,
        3.558723299163134,
        3.5587368693710015,
        3.558750439578869,
        3.5587640097867372,
        3.558777579994605,
        3.558791150202473,
        3.558804720410341,
        3.558818290618209,
        3.5588318608260767,
        3.5588454310339444,
        3.5588590012418124,
        3.55887257144968,
        3.5588861416575477,
        3.5588997118654158,
        3.558913282073284,
        3.558926852281152,
        3.5589404224890195,
        3.558953992696887,
        3.5589675629047552,
        3.5589811331126224,
        3.5589947033204905,
        3.559008273528359,
        3.5590218437362267,
        3.5590354139440947,
        3.5590489841519624,
        3.55906255435983,
        3.559076124567698,
        3.5590896947755657,
        3.5591032649834338,
        3.5591168351913014,
        3.5591304053991695,
        3.5591439756070375,
        3.559157545814905,
        3.559171116022773,
        3.5591846862306404,
        3.559198256438509,
        3.559211826646377,
        3.559225396854244,
        3.5592389670621123,
        3.55925253726998,
        3.559266107477848,
        3.559279677685716,
        3.559293247893584,
        3.5593068181014518,
        3.55932038830932,
        3.5593339585171875,
        3.559347528725055,
        3.5593610989329227,
        3.559374669140791,
        3.5593882393486593,
        3.559401809556527,
        3.5594153797643946,
        3.5594289499722622,
        3.5594425201801303,
        3.559456090387998,
        3.5594696605958656,
        3.559483230803734,
        3.5594968010116017,
        3.55951037121947,
        3.559523941427338,
        3.5595375116352055,
        3.559551081843073,
        3.5595646520509407,
        3.5595782222588093,
        3.559591792466677,
        3.5596053626745445,
        3.5596189328824126,
        3.5596325030902802,
        3.5596460732981483,
        3.559659643506016,
        3.559673213713884,
        3.559686783921752,
        3.5597003541296193,
        3.5597139243374873,
        3.5597274945453554,
        3.559741064753223,
        3.559754634961091,
        3.559768205168959,
        3.559781775376827,
        3.559795345584695,
        3.5598089157925625,
        3.5598224860004306,
        3.559836056208298,
        3.559849626416166,
        3.5598631966240344,
        3.559876766831902,
        3.5598903370397696,
        3.5599039072476373,
        3.5599174774555054,
        3.5599310476633734,
        3.5599446178712406,
        3.559958188079109,
        3.5599717582869768,
        3.559985328494845,
        3.559998898702713,
        3.5600124689105805,
        3.560026039118448,
        3.5600396093263162,
        3.5600531795341843,
        3.560066749742052,
        3.5600803199499196,
        3.5600938901577877,
        3.5601074603656553,
        3.5601210305735234,
        3.5601346007813914,
        3.560148170989259,
        3.560161741197127,
        3.5601753114049943,
        3.5601888816128624,
        3.5602024518207305,
        3.560365294315145,
        3.5603788645230128,
        3.5603924347308804,
        3.5604060049387485,
        3.560419575146616,
        3.560433145354484,
        3.5604467155623523,
        3.56046028577022,
        3.560473855978088,
        3.5604874261859556,
        3.5605009963938232,
        3.5605145666016917,
        3.5605281368095594,
        3.5605417070174274,
        3.5605552772252946,
        3.5605688474331627,
        3.560582417641031,
        3.5605959878488984,
        3.5606095580567665,
        3.560623128264634,
        3.560636698472502,
        3.5606502686803703,
        3.5606638388882375,
        3.5606774090961055,
        3.560690979303973,
        3.5607045495118417,
        3.5607181197197098,
        3.5607316899275774,
        3.560745260135445,
        3.5607588303433126,
        3.5607724005511807,
        3.5607859707590483,
        3.5607995409669164,
        3.5608131111747845,
        3.560826681382652,
        3.56084025159052,
        3.560853821798388,
        3.5608673920062555,
        3.5608809622141235,
        3.560894532421991,
        3.5609081026298592,
        3.5609216728377273,
        3.560935243045595,
        3.560948813253463,
        3.5609623834613306,
        3.5609759536691987,
        3.560989523877067,
        3.5610030940849344,
        3.5610166642928025,
        3.5610302345006697,
        3.5610438047085378,
        3.561057374916406,
        3.5610709451242735,
        3.561084515332142,
        3.561098085540009,
        3.5611116557478772,
        3.5611252259557453,
        3.5611387961636125,
        3.5611523663714806,
        3.561165936579348,
        3.5611795067872167,
        3.561193076995085,
        3.5612066472029524,
        3.56122021741082,
        3.5612337876186877,
        3.5612473578265558,
        3.561260928034424,
        3.5612744982422915,
        3.5612880684501595,
        3.561301638658027,
        3.5613152088658953,
        3.561328779073763,
        3.5613423492816305,
        3.5613559194894986,
        3.561369489697367,
        3.5613830599052343,
        3.5613966301131024,
        3.56141020032097,
        3.561423770528838,
        3.561437340736706,
        3.5614509109445738,
        3.561464481152442,
        3.5614780513603095,
        3.5614916215681776,
        3.561505191776045,
        3.561518761983913,
        3.561532332191781,
        3.5615459023996485,
        3.561559472607517,
        3.5615730428153847,
        3.5615866130232523,
        3.5616001832311204,
        3.5616137534389876,
        3.5616273236468556,
        3.5616408938547237,
        3.561654464062592,
        3.56166803427046,
        3.5616816044783275,
        3.5616951746861956,
        3.561708744894063,
        3.561722315101931,
        3.561735885309799,
        3.5617494555176665,
        3.5617630257255346,
        3.5617765959334027,
        3.5617901661412703,
        3.5618037363491384,
        3.5618173065570056,
        3.5618308767648736,
        3.561844446972742,
        3.5618580171806093,
        3.5618715873884774,
        3.561885157596345,
        3.561898727804213,
        3.561912298012081,
        3.561925868219949,
        3.561939438427817,
        3.5619530086356845,
        3.5619665788435526,
        3.5619801490514207,
        3.561993719259288,
        3.562007289467156,
        3.5620208596750236,
        3.562034429882892,
        3.5620480000907597,
        3.5620615702986274,
        3.5620751405064954,
        3.562088710714363,
        3.5621022809222307,
        3.5621158511300988,
        3.562129421337967,
        3.562142991545835,
        3.5621565617537025,
        3.5621701319615706,
        3.5621837021694382,
        3.562197272377306,
        3.562210842585174,
        3.5622244127930416,
        3.5622379830009097,
        3.5622515532087777,
        3.5622651234166454,
        3.5622786936245134,
        3.5622922638323806,
        3.5623058340402487,
        3.562319404248117,
        3.5623329744559844,
        3.5623465446638525,
        3.56236011487172,
        3.562373685079588,
        3.5623872552874563,
        3.5624008254953243,
        3.5624143957031924,
        3.5624279659110596,
        3.5624415361189277,
        3.5624551063267957,
        3.562468676534663,
        3.562482246742531,
        3.5624958169503995,
        3.562509387158267,
        3.5625229573661352,
        3.5625365275740024,
        3.5625500977818705,
        3.5625636679897386,
        3.5625772381976057,
        3.5626586594448133,
        3.562672229652681,
        3.5626857998605495,
        3.5626993700684175,
        3.5627129402762847,
        3.562726510484153,
        3.5627400806920204,
        3.5627536508998885,
        3.562767221107756,
        3.562780791315624,
        3.5627943615234923,
        3.56280793173136,
        3.5628215019392275,
        3.5628350721470956,
        3.5628486423549632,
        3.5628622125628313,
        3.5628757827706994,
        3.5628893529785675,
        3.562902923186435,
        3.5629164933943027,
        3.562930063602171,
        3.562943633810038,
        3.562957204017906,
        3.5629707742257746,
        3.562984344433642,
        3.5629979146415103,
        3.5630114848493775,
        3.5630250550572455,
        3.5630386252651136,
        3.563052195472981,
        3.5630657656808493,
        3.563079335888717,
        3.563092906096585,
        3.563106476304453,
        3.5631200465123207,
        3.5631336167201884,
        3.563147186928056,
        3.5631607571359245,
        3.5631743273437926,
        3.5631878975516598,
        3.563201467759528,
        3.5632150379673955,
        3.5632286081752635,
        3.5632421783831316,
        3.5632557485909993,
        3.5632693187988673,
        3.563282889006735,
        3.5632964592146026,
        3.5633100294224707,
        3.5633914506696778,
        3.563405020877546,
        3.5634185910854135,
        3.563432161293281,
        3.5634457315011496,
        3.5634593017090173,
        3.5634728719168853,
        3.5634864421247525,
        3.5635000123326206,
        3.5635135825404887,
        3.5635271527483563,
        3.5635407229562244,
        3.5635542931640924,
        3.56356786337196,
        3.563581433579828,
        3.563595003787696,
        3.5636085739955634,
        3.5636221442034315,
        3.5636357144112996,
        3.5636492846191676,
        3.563662854827035,
        3.563676425034903,
        3.563689995242771,
        3.5637035654506386,
        3.5637171356585067,
        3.5637307058663743,
        3.5637442760742424,
        3.5637578462821105,
        3.5637714164899776,
        3.5637849866978457,
        3.5637985569057133,
        3.5638121271135814,
        3.56382569732145,
        3.5638392675293176,
        3.563852837737185,
        3.563866407945053,
        3.563879978152921,
        3.563893548360789,
        3.563907118568656,
        3.5639206887765247,
        3.5639342589843923,
        3.5639478291922604,
        3.5639613994001285,
        3.5639749696079956,
        3.5639885398158637,
        3.5640021100237314,
        3.5640156802315994,
        3.5640292504394675,
        3.564042820647335,
        3.564056390855203,
        3.564069961063071,
        3.5640835312709385,
        3.5640971014788065,
        3.5641106716866746,
        3.5641242418945427,
        3.56413781210241,
        3.564151382310278,
        3.564164952518146,
        3.5641785227260137,
        3.5641920929338817,
        3.56420566314175,
        3.5642192333496174,
        3.5642328035574855,
        3.564246373765353,
        3.5642599439732208,
        3.5642735141810884,
        3.5642870843889565,
        3.564300654596825,
        3.5643142248046926,
        3.5643277950125603,
        3.564341365220428,
        3.564354935428296,
        3.564368505636164,
        3.564382075844031,
        3.5643956460518997,
        3.5644092162597674,
        3.5644227864676354,
        3.5644363566755035,
        3.5644499268833707,
        3.5644634970912388,
        3.5644770672991064,
        3.5644906375069745,
        3.5645042077148426,
        3.56451777792271,
        3.5645313481305783,
        3.5645449183384463,
        3.5645584885463135,
        3.5645720587541816,
        3.5645856289620497,
        3.5645991991699177,
        3.564612769377785,
        3.564626339585653,
        3.564639909793521,
        3.5646534800013887,
        3.564667050209257,
        3.5646806204171253,
        3.5646941906249925,
        3.5647077608328606,
        3.564721331040728,
        3.564734901248596,
        3.564748471456464,
        3.564762041664332,
        3.5647756118722,
        3.5647891820800677,
        3.5648027522879353,
        3.5648163224958034,
        3.564829892703671,
        3.564843462911539,
        3.5648570331194067,
        3.564870603327275,
        3.564884173535143,
        3.5648977437430105,
        3.5649113139508786,
        3.564924884158746,
        3.564938454366614,
        3.5649520245744823,
        3.56496559478235,
        3.5649791649902176,
        3.5649927351980852,
        3.5650063054059533,
        3.5650198756138214,
        3.565033445821689,
        3.565047016029557,
        3.5650605862374247,
        3.565074156445293,
        3.5650877266531604,
        3.565101296861028,
        3.565114867068896,
        3.5651284372767638,
        3.5651420074846323,
        3.5651555776925004,
        3.5651691479003675,
        3.5651827181082356,
        3.5651962883161032,
        3.565209858523971,
        3.565223428731839,
        3.565236998939707,
        3.565250569147575,
        3.5652641393554427,
        3.5652777095633104,
        3.5652912797711784,
        3.565304849979046,
        3.565318420186914,
        3.5653319903947818,
        3.56534556060265,
        3.565359130810518,
        3.5653727010183855,
        3.5653862712262536,
        3.5653998414341213,
        3.565413411641989,
        3.5654269818498574,
        3.565440552057725,
        3.5654541222655927,
        3.5654676924734603,
        3.5654812626813284,
        3.5654948328891964,
        3.565508403097064,
        3.565521973304932,
        3.5655355435127998,
        3.565549113720668,
        3.5655626839285355,
        3.565576254136403,
        3.565589824344271,
        3.565603394552139,
        3.5656169647600073,
        3.5656305349678754,
        3.565644105175743,
        3.5656576753836107,
        3.5656712455914787,
        3.5656848157993464,
        3.565698386007214,
        3.565711956215082,
        3.56572552642295,
        3.5657390966308182,
        3.565752666838686,
        3.5657662370465535,
        3.565779807254421,
        3.565793377462289,
        3.5658069476701573,
        3.565820517878025,
        3.565834088085893,
        3.5658476582937606,
        3.5658612285016287,
        3.5658747987094968,
        3.565888368917364,
        3.5659019391252325,
        3.5659155093331,
        3.5659290795409677,
        3.565942649748836,
        3.5659562199567034,
        3.5659697901645715,
        3.565983360372439,
        3.565996930580307,
        3.5660105007881753,
        3.5662819049455323,
        3.5662954751534,
        3.566309045361268,
        3.5663226155691357,
        3.5663361857770037,
        3.566349755984872,
        3.5663633261927394,
        3.5663768964006075,
        3.566390466608475,
        3.566404036816343,
        3.566417607024211,
        3.5664311772320785,
        3.5664447474399465,
        3.566458317647814,
        3.5664718878556827,
        3.5664854580635503,
        3.566499028271418,
        3.566512598479286,
        3.566526168687153,
        3.5665397388950213,
        3.5665533091028894,
        3.5665668793107574,
        3.5665804495186255,
        3.566594019726493,
        3.566607589934361,
        3.566621160142229,
        3.5666347303500965,
        3.566648300557964,
        3.566661870765832,
        3.5666754409737003,
        3.5666890111815683,
        3.566702581389436,
        3.5667161515973036,
        3.5667297218051717,
        3.5667432920130393,
        3.566756862220908,
        3.566770432428775,
        3.566784002636643,
        3.566797572844511,
        3.566811143052379,
        3.566824713260247,
        3.5668382834681145,
        3.5668518536759826,
        3.5668654238838506,
        3.5668789940917183,
        3.566892564299586,
        3.5669061345074535,
        3.5669197047153216,
        3.5669332749231897,
        3.5669468451310578,
        3.5669604153389254,
        3.566973985546793,
        3.566987555754661,
        3.5670011259625287,
        3.5670146961703963,
        3.5670282663782644,
        3.5670418365861325,
        3.5670554067940006,
        3.5670689770018686,
        3.5673403811592257,
        3.5673539513670933,
        3.5673675215749614,
        3.5673810917828286,
        3.5673946619906967,
        3.567408232198565,
        3.567421802406433,
        3.5674353726143004,
        3.567448942822168,
        3.567462513030036,
        3.567476083237904,
        3.5674896534457714,
        3.56750322365364,
        3.5675167938615076,
        3.5675303640693756,
        3.5675439342772437,
        3.5675575044851113,
        3.567571074692979,
        3.5676389257323184,
        3.567652495940186,
        3.567666066148054,
        3.567679636355922,
        3.56769320656379,
        3.567706776771658,
        3.567720346979525,
        3.567733917187393,
        3.5677474873952613,
        3.567761057603129,
        3.567774627810997,
        3.5677881980188655,
        3.567801768226733,
        3.5678153384346007,
        3.5678289086424684,
        3.5678424788503365,
        3.567856049058204,
        3.5678696192660717,
        3.5678831894739402,
        3.567896759681808,
        3.567910329889676,
        3.5679239000975436,
        3.567937470305411,
        3.5679510405132793,
        3.5679646107211465,
        3.567978180929015,
        3.567991751136883,
        3.5680053213447507,
        3.5680188915526188,
        3.5680324617604864,
        3.568046031968354,
        3.568059602176222,
        3.56807317238409,
        3.5680867425919582,
        3.5681003127998254,
        3.5681138830076935,
        3.5681274532155616,
        3.568141023423429,
        3.568154593631297,
        3.568168163839165,
        3.568181734047033,
        3.568195304254901,
        3.5682088744627682,
        3.5682224446706363,
        3.568236014878504,
        3.568249585086372,
        3.5682631552942405,
        3.568276725502108,
        3.568290295709976,
        3.5683038659178434,
        3.5683174361257115,
        3.568331006333579,
        3.5683445765414468,
        3.5683581467493153,
        3.568371716957183,
        3.568385287165051,
        3.5683988573729186,
        3.5684124275807863,
        3.5684259977886543,
        3.5684395679965215,
        3.56845313820439,
        3.568466708412258,
        3.5706582969829173,
        3.572985587632256,
        3.5729991578401235,
        3.573012728047991,
        3.573026298255859,
        3.5730398684637272,
        3.573053438671595,
        3.573067008879463,
        3.573080579087331,
        3.5730941492951986,
        3.5731077195030667,
        3.5731212897109343,
        3.573134859918802,
        3.57314843012667,
        3.5731620003345377,
        3.573175570542406,
        3.573189140750274,
        3.5732027109581415,
        3.5732162811660095,
        3.573229851373877,
        3.573243421581745,
        3.5732569917896124,
        3.573270561997481,
        3.573284132205349,
        3.5732977024132166,
        3.5733112726210843,
        3.573324842828952,
        3.57333841303682,
        3.573351983244688,
        3.5733655534525557,
        3.5733791236604238,
        3.5733926938682914,
        3.5734062640761595,
        3.5734198342840275,
        3.5734334044918947,
        3.573446974699763,
        3.573460544907631,
        3.5734741151154985,
        3.5734876853233666,
        3.573501255531234,
        3.5735148257391023,
        3.57352839594697,
        3.573541966154838,
        3.573555536362706,
        3.5735691065705737,
        3.5735826767784418,
        3.5735962469863094,
        3.573609817194177,
        3.573623387402045,
        3.5736369576099127,
        3.5736505278177813,
        3.573664098025649,
        3.5736776682335165,
        3.5736912384413846,
        3.573704808649252,
        3.57371837885712,
        3.5737319490649875,
        3.573745519272856,
        3.573759089480724,
        3.5737726596885917,
        3.5737862298964593,
        3.573799800104327,
        3.573813370312195,
        3.573826940520063,
        3.5738405107279307,
        3.573854080935799,
        3.5738676511436664,
        3.5738812213515345,
        3.5738947915594026,
        3.5739083617672702,
        3.573921931975138,
        3.573935502183006,
        3.573949072390874,
        3.5739626425987416,
        3.5739762128066093,
        3.5739897830144773,
        3.574003353222345,
        3.574016923430213,
        3.574030493638081,
        3.5740440638459487,
        3.574057634053817,
        3.574071204261685,
        3.574084774469552,
        3.57409834467742,
        3.574111914885288,
        3.5741254850931563,
        3.5741390553010244,
        3.5741526255088916,
        3.5741661957167596,
        3.5741797659246273,
        3.574193336132495,
        3.574206906340363,
        3.574220476548231,
        3.574234046756099,
        3.5742476169639668,
        3.5742611871718344,
        3.5742747573797025,
        3.57428832758757,
        3.5743018977954386,
        3.574315468003306,
        3.574329038211174,
        3.574342608419042,
        3.5743561786269096,
        3.5743697488347776,
        3.5743833190426453,
        3.5743968892505134,
        3.5744104594583814,
        3.574424029666249,
        3.5744375998741167,
        3.5744511700819843,
        3.5744647402898524,
        3.5744783104977205,
        3.5744918807055885,
        3.574505450913456,
        3.574519021121324,
        3.574532591329192,
        3.57454616153706,
        3.574559731744927,
        3.574573301952795,
        3.5745868721606633,
        3.5746004423685314,
        3.5746140125763994,
        3.574627582784267,
        3.5746411529921347,
        3.5746547232000023,
        3.5746682934078704,
        3.5746818636157385,
        3.574695433823606,
        3.574709004031474,
        3.5748311359022846,
        3.5748447061101527,
        3.5748582763180203,
        3.5748718465258884,
        3.5748854167337565,
        3.574898986941624,
        3.5749125571494917,
        3.5749261273573594,
        3.5749396975652274,
        3.5749532677730955,
        3.5749668379809636,
        3.5749804081888312,
        3.574993978396699,
        3.575007548604567,
        3.575021118812435,
        3.575034689020302,
        3.5750482592281703,
        3.5750618294360383,
        3.5750753996439064,
        3.5750889698517745,
        3.575102540059642,
        3.5751161102675098,
        3.5751296804753774,
        3.5751432506832455,
        3.5751568208911135,
        3.575170391098981,
        3.5751839613068492,
        3.5751975315147173,
        3.575211101722585,
        3.5752246719304526,
        3.57523824213832,
        3.5752518123461887,
        3.5752653825540563,
        3.575278952761924,
        3.575292522969792,
        3.5753060931776597,
        3.5753196633855278,
        3.575333233593396,
        3.575346803801264,
        3.5753603740091315,
        3.575373944216999,
        3.5753875144248672,
        3.575401084632735,
        3.5754146548406025,
        3.5754282250484706,
        3.5754417952563387,
        3.5754553654642067,
        3.5754689356720744,
        3.575482505879942,
        3.57549607608781,
        3.5755096462956772,
        3.5755232165035453,
        3.575536786711414,
        3.5755503569192815,
        3.5755639271271495,
        3.575577497335017,
        3.575591067542885,
        3.575604637750753,
        3.5756182079586205,
        3.575631778166489,
        3.575645348374356,
        3.5756589185822243,
        3.5756724887900924,
        3.57568605899796,
        3.5756996292058276,
        3.5757131994136953,
        3.5757267696215638,
        3.575740339829432,
        3.575753910037299,
        3.575767480245167,
        3.5757810504530347,
        3.575794620660903,
        3.575808190868771,
        3.575821761076639,
        3.5758353312845066,
        3.575848901492374,
        3.5758624717002423,
        3.57587604190811,
        3.5758896121159776,
        3.5759031823238456,
        3.5759167525317137,
        3.575930322739582,
        3.5759438929474494,
        3.575957463155317,
        3.575971033363185,
        3.5759846035710523,
        3.5759981737789204,
        3.576011743986789,
        3.5760253141946565,
        3.5760388844025246,
        3.5760524546103922,
        3.5760660248182603,
        3.576079595026128,
        3.5760931652339956,
        3.576106735441864,
        3.5761203056497313,
        3.5761338758575993,
        3.5761474460654674,
        3.576161016273335,
        3.576174586481203,
        3.5761881566890703,
        3.576201726896939,
        3.576215297104807,
        3.576228867312674,
        3.576242437520542,
        3.5762560077284102,
        3.576269577936278,
        3.576283148144146,
        3.576296718352014,
        3.5763102885598816,
        3.5763238587677497,
        3.5763374289756173,
        3.5763509991834854,
        3.5763645693913526,
        3.5763781395992207,
        3.576391709807089,
        3.576405280014957,
        3.5764188502228245,
        3.576432420430692,
        3.57644599063856,
        3.5764595608464282,
        3.5764731310542954,
        3.576486701262164,
        3.5765002714700316,
        3.5765138416778997,
        3.5765274118857677,
        3.5765409820936354,
        3.576554552301503,
        3.5765681225093706,
        3.576581692717239,
        3.5765952629251068,
        3.5766088331329744,
        3.5766224033408425,
        3.57663597354871,
        3.576649543756578,
        3.5766631139644463,
        3.576676684172314,
        3.576690254380182,
        3.576703824588049,
        3.576717394795917,
        3.5767309650037853,
        3.576744535211653,
        3.5767581054195214,
        3.576771675627389,
        3.576785245835257,
        3.5767988160431248,
        3.5768123862509924,
        3.5768259564588605,
        3.5768395266667277,
        3.576853096874596,
        3.5768666670824643,
        3.576880237290332,
        3.5768938074982,
        3.576907377706067,
        3.5769209479139352,
        3.5769345181218033,
        3.576948088329671,
        3.576961658537539,
        3.5769752287454066,
        3.5769887989532747,
        3.577002369161143,
        3.5770159393690104,
        3.577029509576878,
        3.577043079784746,
        3.577056649992614,
        3.5770702202004823,
        3.5770837904083495,
        3.5770973606162175,
        3.577110930824085,
        3.5771245010319532,
        3.5771380712398213,
        3.577151641447689,
        3.577165211655557,
        3.5771787818634246,
        3.5771923520712923,
        3.5772059222791603,
        3.577219492487028,
        3.5772330626948965,
        3.5772466329027646,
        3.577260203110632,
        3.5772737733185,
        3.5772873435263675,
        3.5773009137342355,
        3.5773144839421027,
        3.5773280541499712,
        3.5773416243578393,
        3.577355194565707,
        3.577368764773575,
        3.5773823349814426,
        3.5773959051893103,
        3.5774094753971784,
        3.577423045605046,
        3.577436615812914,
        3.577450186020782,
        3.5774637562286498,
        3.577477326436518,
        3.5774908966443855,
        3.5775044668522535,
        3.5775180370601216,
        3.5775316072679892,
        3.5775451774758573,
        3.5775587476837245,
        3.5775723178915926,
        3.5775858880994607,
        3.5775994583073283,
        3.577613028515197,
        3.577626598723064,
        3.577640168930932,
        3.5776537391388,
        3.5776673093466673,
        3.5776808795545354,
        3.577694449762403,
        3.5777080199702715,
        3.5777215901781396,
        3.5777351603860073,
        3.577748730593875,
        3.5777623008017425,
        3.5777758710096106,
        3.5777894412174787,
        3.5778030114253463,
        3.5778165816332144,
        3.577830151841082,
        3.57784372204895,
        3.5778572922568177,
        3.5778708624646853,
        3.5778844326725534,
        3.5778980028804215,
        3.577911573088289,
        3.577925143296157,
        3.577938713504025,
        3.577952283711893,
        3.5779658539197605,
        3.5779794241276286,
        3.5779929943354967,
        3.5780065645433643,
        3.5780201347512324,
        3.5780337049590996,
        3.5780472751669676,
        3.5780608453748357,
        3.5780744155827033,
        3.578087985790572,
        3.578101555998439,
        3.578115126206307,
        3.578128696414175,
        3.5781422666220424,
        3.5781558368299105,
        3.578169407037778,
        3.5781829772456466,
        3.5781965474535147,
        3.5782101176613823,
        3.5782236878692504,
        3.5782372580771176,
        3.5782508282849856,
        3.5782643984928537,
        3.5782779687007213,
        3.5782915389085894,
        3.578305109116457,
        3.578318679324325,
        3.578332249532193,
        3.5783458197400604,
        3.5783593899479285,
        3.578372960155797,
        3.578386530363664,
        3.5784001005715322,
        3.5784136707794,
        3.578427240987268,
        3.578440811195136,
        3.5784543814030036,
        3.5784679516108717,
        3.5784815218187394,
        3.5784950920266074,
        3.5785086622344755,
        3.5785222324423427,
        3.5785358026502108,
        3.5785493728580784,
        3.578562943065947,
        3.5785765132738145,
        3.578590083481682,
        3.5786036536895502,
        3.578617223897418,
        3.5786307941052855,
        3.5786443643131536,
        3.5786579345210217,
        3.5786715047288897,
        3.5786850749367574,
        3.5786986451446254,
        3.578712215352493,
        3.5787257855603607,
        3.5787393557682288,
        3.5787529259760964,
        3.5787664961839645,
        3.5787800663918325,
        3.5787936365997,
        3.5788072068075683,
        3.5788207770154354,
        3.5788343472233035,
        3.578847917431172,
        3.578861487639039,
        3.5788750578469073,
        3.578888628054775,
        3.578902198262643,
        3.578915768470511,
        3.5789293386783787,
        3.578942908886247,
        3.5789564790941144,
        3.5789700493019825,
        3.5789836195098506,
        3.5789971897177177,
        3.579010759925586,
        3.579024330133454,
        3.579037900341322,
        3.57905147054919,
        3.5790650407570572,
        3.5790786109649253,
        3.579092181172793,
        3.5791057513806606,
        3.579119321588529,
        3.5791328917963967,
        3.579146462004265,
        3.5791600322121324,
        3.5791736024200005,
        3.579187172627868,
        3.5792007428357357,
        3.5792143130436043,
        3.579227883251472,
        3.5792414534593395,
        3.5792550236672076,
        3.5792685938750752,
        3.5792821640829433,
        3.5792957342908105,
        3.579309304498679,
        3.5794585767852256,
        3.579472146993093,
        3.579485717200961,
        3.5794992874088294,
        3.579512857616697,
        3.579526427824565,
        3.5795399980324323,
        3.5795535682403004,
        3.5795671384481684,
        3.5795807086560356,
        3.579594278863904,
        3.5796078490717718,
        3.57962141927964,
        3.579634989487508,
        3.5796485596953755,
        3.5796621299032436,
        3.579675700111111,
        3.5796892703189793,
        3.5797028405268474,
        3.5797164107347146,
        3.5797299809425827,
        3.5797435511504503,
        3.5797571213583184,
        3.5797706915661864,
        3.579784261774054,
        3.579797831981922,
        3.5798114021897898,
        3.5798249723976574,
        3.5798385426055255,
        3.579852112813393,
        3.579865683021261,
        3.5798792532291293,
        3.5798928234369973,
        3.579906393644865,
        3.5799199638527326,
        3.5799335340606007,
        3.5799471042684683,
        3.579960674476336,
        3.5799742446842044,
        3.579987814892072,
        3.58000138509994,
        3.580014955307808,
        3.5800285255156754,
        3.5800420957235435,
        3.580055665931411,
        3.580069236139279,
        3.580082806347147,
        3.580096376555015,
        3.580109946762883,
        3.5801235169707506,
        3.5801370871786187,
        3.580150657386486,
        3.5801642275943544,
        3.5801777978022225,
        3.5801913680100896,
        3.5802049382179577,
        3.5802185084258253,
        3.5802320786336934,
        3.5802456488415615,
        3.580259219049429,
        3.580272789257297,
        3.580286359465165,
        3.5802999296730325,
        3.5803134998809005,
        3.580327070088768,
        3.5803406402966362,
        3.5803542105045043,
        3.5803677807123724,
        3.5803813509202405,
        3.5803949211281076,
        3.5804084913359757,
        3.580422061543844,
        3.580435631751711,
        3.5804492019595795,
        3.580462772167447,
        3.580476342375315,
        3.5804899125831833,
        3.5805034827910505,
        3.5805170529989185,
        3.580530623206786,
        3.5805441934146542,
        3.5805577636225223,
        3.58057133383039,
        3.580584904038258,
        3.5805984742461257,
        3.5806120444539937,
        3.5806256146618614,
        3.5806391848697294,
        3.5806527550775975,
        3.580666325285465,
        3.5806798954933328,
        3.580693465701201,
        3.5807070359090685,
        3.5807206061169365,
        3.5807341763248046,
        3.5807477465326722,
        3.5807613167405403,
        3.580774886948408,
        3.5807884571562756,
        3.580802027364143,
        3.5808155975720113,
        3.58082916777988,
        3.5808427379877474,
        3.5808563081956155,
        3.5808698784034827,
        3.5808834486113508,
        3.580897018819219,
        3.580910589027086,
        3.581059861313633,
        3.5810734315215007,
        3.581087001729369,
        3.581100571937237,
        3.5811141421451045,
        3.5811277123529726,
        3.58114128256084,
        3.581154852768708,
        3.581168422976576,
        3.5811819931844435,
        3.5811955633923116,
        3.5812091336001797,
        3.5812227038080473,
        3.5812362740159154,
        3.581249844223783,
        3.5812634144316506,
        3.5812769846395183,
        3.5812905548473863,
        3.581304125055255,
        3.5813176952631225,
        3.5813312654709906,
        3.581344835678858,
        3.581358405886726,
        3.581371976094594,
        3.581385546302462,
        3.5813991165103296,
        3.5814126867181972,
        3.5814262569260653,
        3.5814398271339334,
        3.581453397341801,
        3.5814669675496686,
        3.5814805377575367,
        3.581494107965405,
        3.5815076781732724,
        3.58152124838114,
        3.581534818589008,
        3.581548388796876,
        3.581561959004744,
        3.5815755292126124,
        3.581670520667687,
        3.581684090875555,
        3.5816976610834224,
        3.5817112312912904,
        3.581724801499158,
        3.5817383717070257,
        3.5817519419148938,
        3.581765512122762,
        3.58177908233063,
        3.5817926525384975,
        3.5818062227463656,
        3.5818197929542337,
        3.581833363162101,
        3.581846933369969,
        3.581860503577837,
        3.5818740737857047,
        3.5818876439935727,
        3.5819012142014404,
        3.5819147844093084,
        3.581928354617176,
        3.5819419248250437,
        3.581955495032912,
        3.58196906524078,
        3.5819826354486475,
        3.581996205656515,
        3.582009775864383,
        3.5820233460722513,
        3.582036916280119,
        3.5820504864879874,
        3.5820640566958546,
        3.5820776269037227,
        3.5820911971115907,
        3.5821047673194584,
        3.582118337527326,
        3.5821319077351936,
        3.582145477943062,
        3.5821590481509302,
        3.582172618358798,
        3.5821861885666655,
        3.582199758774533,
        3.582213328982401,
        3.582226899190269,
        3.582240469398137,
        3.582254039606005,
        3.5822676098138726,
        3.5822811800217407,
        3.5822947502296087,
        3.582308320437476,
        3.582321890645344,
        3.582335460853212,
        3.5823490310610797,
        3.582362601268948,
        3.5823761714768154,
        3.5823897416846835,
        3.582403311892551,
        3.5824168821004188,
        3.5824304523082873,
        3.582444022516155,
        3.5824575927240225,
        3.58247116293189,
        3.5824847331397582,
        3.5824983033476263,
        3.582511873555494,
        3.5825254437633625,
        3.5825390139712296,
        3.5825525841790977,
        3.582566154386966,
        3.5825797245948334,
        3.582593294802701,
        3.582606865010569,
        3.582620435218437,
        3.5826340054263053,
        3.582647575634173,
        3.5826611458420405,
        3.5826747160499086,
        3.5826882862577762,
        3.582701856465644,
        3.582715426673512,
        3.58272899688138,
        3.582742567089248,
        3.5827561372971157,
        3.582769707504984,
        3.582783277712851,
        3.582796847920719,
        3.5828104181285876,
        3.582823988336455,
        3.582837558544323,
        3.5828511287521905,
        3.5828646989600585,
        3.5828782691679266,
        3.5828918393757943,
        3.5829054095836623,
        3.58291897979153,
        3.582932549999398,
        3.5829461202072657,
        3.5829596904151333,
        3.5829732606230014,
        3.582986830830869,
        3.5830004010387375,
        3.583013971246605,
        3.5830275414544728,
        3.583041111662341,
        3.5830546818702085,
        3.583068252078076,
        3.583081822285944,
        3.5830953924938123,
        3.5831089627016803,
        3.583122532909548,
        3.5831361031174156,
        3.5831496733252837,
        3.5831632435331513,
        3.583244664780359,
        3.583258234988226,
        3.583271805196094,
        3.5832853754039626,
        3.5832989456118303,
        3.583312515819698,
        3.5833260860275655,
        3.5833396562354336,
        3.5833532264433017,
        3.5833667966511693,
        3.5833803668590374,
        3.583393937066905,
        3.583407507274773,
        3.5834210774826407,
        3.5834346476905083,
        3.5834482178983764,
        3.583461788106244,
        3.5834753583141126,
        3.58348892852198,
        3.583502498729848,
        3.583516068937716,
        3.5835296391455835,
        3.583543209353451,
        3.5835567795613192,
        3.5835703497691873,
        3.5835839199770554,
        3.5835974901849235,
        3.583611060392791,
        3.5836246306006587,
        3.5836382008085264,
        3.5836517710163944,
        3.583665341224262,
        3.58367891143213,
        3.583692481639998,
        3.583706051847866,
        3.583719622055734,
        3.5837331922636015,
        3.583746762471469,
        3.5837603326793377,
        3.5837739028872053,
        3.583787473095073,
        3.583801043302941,
        3.5838146135108087,
        3.5838281837186767,
        3.583841753926545,
        3.5838553241344124,
        3.5838688943422805,
        3.5839503155894876,
        3.5839638857973553,
        3.583977456005223,
        3.583991026213091,
        3.584004596420959,
        3.584018166628826,
        3.5840317368366947,
        3.5840453070445624,
        3.5840588772524304,
        3.5840724474602985,
        3.584086017668166,
        3.5840995878760338,
        3.5841131580839014,
        3.58412672829177,
        3.5841402984996376,
        3.584153868707505,
        3.5841674389153733,
        3.584181009123241,
        3.584194579331109,
        3.5842081495389766,
        3.5842217197468447,
        3.5842352899547127,
        3.5842488601625804,
        3.584262430370448,
        3.584276000578316,
        3.5842895707861837,
        3.584303140994052,
        3.58431671120192,
        3.584330281409788,
        3.5843438516176556,
        3.584357421825523,
        3.5843709920333913,
        3.5843845622412585,
        3.5843981324491265,
        3.584411702656995,
        3.5844252728648627,
        3.5844388430727308,
        3.584452413280598,
        3.584465983488466,
        3.584479553696334,
        3.5844931239042013,
        3.58450669411207,
        3.5845202643199374,
        3.5845338345278055,
        3.5845474047356736,
        3.584560974943541,
        3.584574545151409,
        3.5845881153592765,
        3.584601685567145,
        3.584615255775013,
        3.5846288259828802,
        3.5846423961907483,
        3.584655966398616,
        3.584669536606484,
        3.5846831068143516,
        3.5846966770222197,
        3.584710247230088,
        3.584723817437956,
        3.584737387645823,
        3.584750957853691,
        3.5847645280615588,
        3.584778098269427,
        3.5847916684772954,
        3.584805238685163,
        3.5848188088930306,
        3.5848323791008982,
        3.5848459493087663,
        3.584859519516634,
        3.5848730897245016,
        3.58488665993237,
        3.5849002301402377,
        3.584913800348106,
        3.5849273705559734,
        3.584940940763841,
        3.584954510971709,
        3.5849680811795763,
        3.584981651387445,
        3.584995221595313,
        3.5850087918031806,
        3.5850223620110486,
        3.5850359322189163,
        3.5850495024267843,
        3.585063072634652,
        3.58507664284252,
        3.585090213050388,
        3.5851037832582553,
        3.5851173534661234,
        3.5851309236739914,
        3.585144493881859,
        3.585158064089727,
        3.585171634297595,
        3.585185204505463,
        3.585198774713331,
        3.585212344921198,
        3.585225915129066,
        3.585239485336934,
        3.585253055544802,
        3.5852666257526704,
        3.585280195960538,
        3.5852937661684057,
        3.5853073363762733,
        3.5853209065841414,
        3.5853344767920095,
        3.5853480469998766,
        3.585361617207745,
        3.585375187415613,
        3.585388757623481,
        3.5854023278313485,
        3.585415898039216,
        3.585429468247084,
        3.585443038454952,
        3.58545660866282,
        3.585470178870688,
        3.5854837490785556,
        3.5854973192864237,
        3.5855108894942913,
        3.5855244597021594,
        3.585538029910027,
        3.585551600117895,
        3.585565170325763,
        3.5855787405336303,
        3.5855923107414984,
        3.5856058809493665,
        3.585619451157234,
        3.585633021365102,
        3.58564659157297,
        3.585660161780838,
        3.585673731988706,
        3.585687302196573,
        3.5857008724044412,
        3.585714442612309,
        3.585728012820177,
        3.5857415830280455,
        3.585755153235913,
        3.585768723443781,
        3.585782293651649,
        3.5857958638595164,
        3.5858094340673845,
        3.5858230042752517,
        3.58583657448312,
        3.5858501446909883,
        3.585863714898856,
        3.585877285106724,
        3.585890855314591,
        3.5859044255224592,
        3.5859179957303273,
        3.585931565938195,
        3.585945136146063,
        3.5859587063539307,
        3.5859722765617987,
        3.585985846769667,
        3.5859994169775344,
        3.586012987185402,
        3.58602655739327,
        3.586040127601138,
        3.5860536978090063,
        3.5860672680168735,
        3.5860808382247416,
        3.586094408432609,
        3.5861079786404773,
        3.5861215488483453,
        3.586135119056213,
        3.586148689264081,
        3.5861622594719487,
        3.5861758296798163,
        3.5861893998876844,
        3.5862029700955524,
        3.5862165403034205,
        3.586230110511288,
        3.5862436807191562,
        3.586257250927024,
        3.5862708211348915,
        3.5862843913427596,
        3.586297961550627,
        3.5863115317584953,
        3.5863251019663633,
        3.586338672174231,
        3.586352242382099,
        3.5863658125899662,
        3.5863793827978343,
        3.586392953005703,
        3.58640652321357,
        3.586420093421438,
        3.5864336636293057,
        3.586447233837174,
        3.586705067786663,
        3.5867186379945313,
        3.586732208202399,
        3.5867457784102665,
        3.5867593486181346,
        3.586772918826003,
        3.5867864890338703,
        3.5868000592417384,
        3.586813629449606,
        3.586827199657474,
        3.5868407698653413,
        3.5868543400732094,
        3.586867910281078,
        3.5868814804889455,
        3.586895050696813,
        3.586908620904681,
        3.586922191112549,
        3.586935761320417,
        3.5869493315282845,
        3.586962901736153,
        3.5869764719440207,
        3.5869900421518883,
        3.5870036123597564,
        3.5870171825676236,
        3.5870307527754917,
        3.5870443229833597,
        3.587057893191228,
        3.587071463399096,
        3.587085033606963,
        3.587098603814831,
        3.587112174022699,
        3.5871257442305664,
        3.5871393144384345,
        3.5871528846463026,
        3.5871664548541706,
        3.5871800250620387,
        3.5871935952699063,
        3.5872071654777744,
        3.5872207356856416,
        3.5872343058935097,
        3.587247876101378,
        3.5872614463092454,
        3.5872750165171134,
        3.587288586724981,
        3.587302156932849,
        3.5873157271407172,
        3.5873292973485844,
        3.587342867556453,
        3.5873564377643206,
        3.587370007972188,
        3.5873835781800563,
        3.587397148387924,
        3.587410718595792,
        3.5874242888036596,
        3.587437859011528,
        3.5874514292193957,
        3.5877092631688847,
        3.5877228333767532,
        3.5877364035846204,
        3.5877499737924885,
        3.587763544000356,
        3.587777114208224,
        3.5877906844160923,
        3.5878042546239595,
        3.587817824831828,
        3.5878313950396956,
        3.5878449652475632,
        3.5878585354554313,
        3.587872105663299,
        3.587885675871167,
        3.587899246079035,
        3.587912816286903,
        3.5879263864947712,
        3.5879399567026384,
        3.5879535269105065,
        3.5879670971183746,
        3.5879806673262418,
        3.58799423753411,
        3.588007807741978,
        3.588021377949846,
        3.588034948157714,
        3.5880485183655813,
        3.5880620885734493,
        3.588075658781317,
        3.5880892289891846,
        3.588102799197053,
        3.5881163694049207,
        3.588129939612789,
        3.5881435098206564,
        3.5881570800285245,
        3.588170650236392,
        3.5881842204442598,
        3.5881977906521283,
        3.588211360859996,
        3.5882249310678636,
        3.5882385012757316,
        3.5882520714835993,
        3.5882656416914673,
        3.588279211899335,
        3.588292782107203,
        3.588306352315071,
        3.5883199225229387,
        3.5883334927308064,
        3.588347062938674,
        3.588360633146542,
        3.58837420335441,
        3.5883877735622782,
        3.5884013437701463,
        3.5884149139780135,
        3.5884284841858816,
        3.5884420543937496,
        3.588455624601617,
        3.588469194809485,
        3.588482765017353,
        3.588496335225221,
        3.588509905433089,
        3.5885234756409563,
        3.5885370458488244,
        3.588550616056692,
        3.58856418626456,
        3.588577756472428,
        3.588591326680296,
        3.588604896888164,
        3.5886184670960315,
        3.5886320373038996,
        3.5886456075117676,
        3.5886591777196353,
        3.5886727479275033,
        3.588686318135371,
        3.5886998883432386,
        3.5887134585511067,
        3.5887270287589743,
        3.5887405989668424,
        3.5887541691747105,
        3.588767739382578,
        3.588781309590446,
        3.5911628810712553,
        3.5937072950464795,
        3.593720865254347,
        3.593734435462215,
        3.593748005670083,
        3.5937615758779513,
        3.593775146085819,
        3.593788716293687,
        3.5938022865015546,
        3.5938158567094223,
        3.5938294269172903,
        3.5938429971251575,
        3.593856567333026,
        3.593870137540894,
        3.5938837077487618,
        3.59389727795663,
        3.593910848164497,
        3.593924418372365,
        3.593937988580233,
        3.5939515587881012,
        3.593965128995969,
        3.5939786992038365,
        3.5939922694117046,
        3.5940058396195727,
        3.5940194098274403,
        3.5940329800353084,
        3.594046550243176,
        3.594060120451044,
        3.594073690658912,
        3.5940872608667793,
        3.5941008310746474,
        3.594114401282515,
        3.594127971490383,
        3.5941415416982516,
        3.594155111906119,
        3.594168682113987,
        3.5941822523218545,
        3.594195822529722,
        3.59420939273759,
        3.594222962945458,
        3.5942365331533264,
        3.5942501033611944,
        3.594263673569062,
        3.5942772437769297,
        3.5942908139847973,
        3.5943043841926654,
        3.5943179544005335,
        3.594331524608401,
        3.594345094816269,
        3.594358665024137,
        3.594372235232005,
        3.5943858054398725,
        3.59439937564774,
        3.594412945855608,
        3.5944265160634763,
        3.594440086271344,
        3.594453656479212,
        3.5944672266870796,
        3.5944807968949477,
        3.5944943671028153,
        3.5945079373106834,
        3.5945215075185515,
        3.594535077726419,
        3.594548647934287,
        3.5945622181421544,
        3.5945757883500224,
        3.5945893585578905,
        3.594602928765758,
        3.5946164989736267,
        3.594630069181494,
        3.594643639389362,
        3.59465720959723,
        3.594670779805097,
        3.5946843500129653,
        3.594697920220833,
        3.5948200520916442,
        3.594833622299512,
        3.59484719250738,
        3.594860762715248,
        3.594874332923115,
        3.5948879031309833,
        3.5949014733388513,
        3.594915043546719,
        3.594928613754587,
        3.5949421839624547,
        3.5949557541703228,
        3.5949693243781904,
        3.5949828945860585,
        3.5949964647939265,
        3.595010035001794,
        3.5950236052096622,
        3.59503717541753,
        3.5950507456253975,
        3.5950643158332656,
        3.595077886041133,
        3.5950914562490017,
        3.595105026456869,
        3.595118596664737,
        3.595132166872605,
        3.5951457370804727,
        3.5951593072883403,
        3.595172877496208,
        3.5951864477040765,
        3.5952000179119445,
        3.595213588119812,
        3.5952271583276803,
        3.5952407285355474,
        3.5952542987434155,
        3.5952678689512836,
        3.595281439159151,
        3.5952950093670193,
        3.5953085795748874,
        3.595322149782755,
        3.595335719990623,
        3.5953492901984903,
        3.5953628604063583,
        3.595376430614227,
        3.595390000822094,
        3.595403571029962,
        3.5954171412378297,
        3.595430711445698,
        3.595444281653566,
        3.5954578518614335,
        3.595471422069302,
        3.5954849922771692,
        3.5954985624850373,
        3.5955121326929054,
        3.5955257029007726,
        3.5955392731086406,
        3.5955528433165083,
        3.595566413524377,
        3.595579983732245,
        3.595593553940112,
        3.59560712414798,
        3.5956206943558477,
        3.5956342645637154,
        3.5956478347715835,
        3.5956614049794515,
        3.5956749751873196,
        3.5956885453951872,
        3.5957021156030553,
        3.595715685810923,
        3.5957292560187906,
        3.595742826226659,
        3.5957563964345267,
        3.5957699666423943,
        3.5957835368502624,
        3.59579710705813,
        3.595810677265998,
        3.5958242474738658,
        3.595837817681734,
        3.595851387889602,
        3.5958649580974695,
        3.595878528305337,
        3.595892098513205,
        3.595905668721073,
        3.595919238928941,
        3.595932809136809,
        3.595946379344677,
        3.5959599495525443,
        3.5959735197604124,
        3.5959870899682804,
        3.5960006601761476,
        3.5960142303840157,
        3.5960278005918838,
        3.596041370799752,
        3.59605494100762,
        3.596068511215487,
        3.596082081423355,
        3.596095651631223,
        3.5961092218390904,
        3.596122792046959,
        3.5961363622548266,
        3.5961499324626947,
        3.5961635026705623,
        3.5961770728784304,
        3.5961906430862984,
        3.5962042132941656,
        3.596217783502034,
        3.5962313537099018,
        3.5962449239177694,
        3.5962584941256375,
        3.596272064333505,
        3.596285634541373,
        3.5962992047492413,
        3.596312774957109,
        3.596326345164977,
        3.5963399153728446,
        3.596353485580712,
        3.59636705578858,
        3.596380625996448,
        3.596394196204316,
        3.596407766412184,
        3.596421336620052,
        3.59643490682792,
        3.5964484770357874,
        3.5964620472436555,
        3.596475617451523,
        3.5964891876593907,
        3.5965027578672593,
        3.596516328075127,
        3.596529898282995,
        3.5965434684908626,
        3.5965570386987302,
        3.5965706089065983,
        3.596584179114466,
        3.596597749322334,
        3.5966113195302016,
        3.5966248897380697,
        3.596638459945938,
        3.5966520301538054,
        3.5966656003616735,
        3.5966791705695407,
        3.596692740777409,
        3.5967063109852773,
        3.5967198811931445,
        3.5967334514010125,
        3.59674702160888,
        3.5967605918167482,
        3.5967741620246163,
        3.596787732232484,
        3.596801302440352,
        3.5968148726482196,
        3.5968284428560873,
        3.5968420130639553,
        3.596855583271823,
        3.596869153479691,
        3.596882723687559,
        3.596896293895427,
        3.5969098641032953,
        3.5969234343111625,
        3.5969370045190305,
        3.596950574726898,
        3.596964144934766,
        3.5969777151426343,
        3.596991285350502,
        3.59700485555837,
        3.5970184257662376,
        3.5970319959741053,
        3.5970455661819734,
        3.597059136389841,
        3.597072706597709,
        3.5970862768055767,
        3.5970998470134448,
        3.597113417221313,
        3.5971269874291805,
        3.5971405576370485,
        3.597154127844916,
        3.5971676980527842,
        3.5971812682606523,
        3.59719483846852,
        3.5972084086763876,
        3.597221978884255,
        3.5972355490921233,
        3.5972491192999914,
        3.5972626895078594,
        3.597276259715727,
        3.5972898299235947,
        3.5973034001314628,
        3.5973169703393304,
        3.597330540547198,
        3.597344110755066,
        3.597357680962934,
        3.5973712511708023,
        3.5973848213786703,
        3.5973983915865375,
        3.5974119617944056,
        3.5974255320022737,
        3.597439102210141,
        3.5974526724180094,
        3.597466242625877,
        3.597479812833745,
        3.597493383041613,
        3.5975069532494803,
        3.5975205234573484,
        3.597534093665216,
        3.597547663873084,
        3.597561234080952,
        3.59757480428882,
        3.597588374496688,
        3.5976019447045555,
        3.5976155149124236,
        3.5976290851202917,
        3.5976426553281593,
        3.5976562255360274,
        3.597669795743895,
        3.5976833659517626,
        3.5976969361596307,
        3.5977105063674983,
        3.5977240765753664,
        3.5977376467832345,
        3.597751216991102,
        3.59776478719897,
        3.597778357406838,
        3.5977919276147055,
        3.597805497822573,
        3.597819068030441,
        3.5978326382383097,
        3.5978462084461773,
        3.5978597786540454,
        3.597873348861913,
        3.5978869190697806,
        3.5979004892776487,
        3.5979140594855163,
        3.5979276296933844,
        3.597941199901252,
        3.59795477010912,
        3.597968340316988,
        3.597981910524856,
        3.5979954807327235,
        3.598009050940591,
        3.5980226211484596,
        3.5980361913563272,
        3.598049761564195,
        3.598063331772063,
        3.5980769019799306,
        3.5980904721877986,
        3.598104042395667,
        3.5981176126035344,
        3.5981311828114024,
        3.59814475301927,
        3.5981583232271377,
        3.5981718934350058,
        3.5981854636428734,
        3.598199033850742,
        3.5982126040586095,
        3.598226174266477,
        3.5982397444743452,
        3.598253314682213,
        3.5982668848900805,
        3.598280455097948,
        3.5982940253058167,
        3.5983075955136847,
        3.5983211657215524,
        3.5983347359294204,
        3.598348306137288,
        3.5983618763451557,
        3.5983754465530238,
        3.598389016760892,
        3.5984025869687595,
        3.598416157176627,
        3.598429727384495,
        3.5984432975923633,
        3.598456867800231,
        3.5984704380080985,
        3.598484008215967,
        3.5984975784238347,
        3.5985111486317023,
        3.59852471883957,
        3.598538289047438,
        3.598551859255306,
        3.5985654294631737,
        3.5985789996710422,
        3.59859256987891,
        3.5986061400867775,
        3.5986197102946456,
        3.598633280502513,
        3.598646850710381,
        3.5986604209182484,
        3.598673991126117,
        3.598687561333985,
        3.5987011315418527,
        3.5987147017497203,
        3.598728271957588,
        3.598741842165456,
        3.5987554123733236,
        3.5987689825811917,
        3.59878255278906,
        3.5987961229969274,
        3.5988096932047955,
        3.5988232634126636,
        3.5988368336205308,
        3.598850403828399,
        3.598863974036267,
        3.5988775442441345,
        3.5988911144520026,
        3.5989046846598702,
        3.5989182548677383,
        3.598931825075606,
        3.5989453952834736,
        3.598958965491342,
        3.5989725356992097,
        3.598986105907078,
        3.598999676114945,
        3.599013246322813,
        3.599026816530681,
        3.5990403867385488,
        3.5990539569464173,
        3.599067527154285,
        3.599216799440831,
        3.5992303696486987,
        3.5992439398565668,
        3.599257510064435,
        3.5992710802723025,
        3.5992846504801705,
        3.5992982206880386,
        3.5993117908959062,
        3.599325361103774,
        3.599338931311642,
        3.59935250151951,
        3.5993660717273777,
        3.5993796419352453,
        3.5993932121431134,
        3.599406782350981,
        3.599420352558849,
        3.599433922766717,
        3.5994474929745848,
        3.599461063182453,
        3.59947463339032,
        3.599488203598188,
        3.599501773806056,
        3.599515344013924,
        3.5995289142217923,
        3.5995424844296604,
        3.5995560546375276,
        3.5995696248453957,
        3.5995831950532633,
        3.5995967652611314,
        3.599610335468999,
        3.599623905676867,
        3.599637475884735,
        3.599651046092603,
        3.5996646163004704,
        3.5996781865083385,
        3.599691756716206,
        3.599705326924074,
        3.599718897131942,
        3.59973246733981,
        3.599746037547678,
        3.5997596077555456,
        3.5997731779634137,
        3.5997867481712813,
        3.599800318379149,
        3.5998138885870175,
        3.599827458794885,
        3.5998410290027527,
        3.5998545992106203,
        3.5998681694184884,
        3.5998817396263565,
        3.599895309834224,
        3.599908880042092,
        3.59992245024996,
        3.599936020457828,
        3.5999495906656955,
        3.599963160873563,
        3.5999767310814312,
        3.599990301289299,
        3.6000038714971674,
        3.6000174417050355,
        3.600031011912903,
        3.6000445821207707,
        3.6000581523286384,
        3.6000717225365064,
        3.600085292744374,
        3.600098862952242,
        3.60011243316011,
        3.600126003367978,
        3.600139573575846,
        3.6001531437837135,
        3.600166713991581,
        3.6001802841994492,
        3.600193854407317,
        3.600207424615185,
        3.600220994823053,
        3.6002345650309207,
        3.6002481352387887,
        3.6002617054466564,
        3.600275275654524,
        3.6002888458623925,
        3.60030241607026,
        3.600315986278128,
        3.6003295564859954,
        3.6003431266938635,
        3.6003566969017315,
        3.600370267109599,
        3.6003838373174673,
        3.600397407525335,
        3.600410977733203,
        3.600424547941071,
        3.600438118148938,
        3.6004516883568063,
        3.6004652585646744,
        3.6004788287725424,
        3.6004923989804105,
        3.600505969188278,
        3.6005195393961458,
        3.6007502329298995,
        3.6007638031377676,
        3.600777373345635,
        3.6007909435535033,
        3.600804513761371,
        3.6008180839692385,
        3.6008316541771066,
        3.6008452243849747,
        3.6008587945928427,
        3.6008723648007104,
        3.600885935008578,
        3.600899505216446,
        3.6009130754243133,
        3.6009266456321813,
        3.60094021584005,
        3.6009537860479175,
        3.6009673562557856,
        3.600980926463653,
        3.600994496671521,
        3.601008066879389,
        3.6010216370872565,
        3.601035207295125,
        3.6010487775029922,
        3.6010623477108603,
        3.6010759179187284,
        3.601089488126596,
        3.6011030583344636,
        3.6011166285423313,
        3.6011301987502,
        3.601143768958068,
        3.601157339165935,
        3.601170909373803,
        3.6011844795816708,
        3.601198049789539,
        3.601211619997407,
        3.6012251902052745,
        3.6012387604131426,
        3.6012523306210102,
        3.6012659008288783,
        3.601279471036746,
        3.6012930412446136,
        3.6013066114524817,
        3.6013201816603497,
        3.601333751868218,
        3.6013473220760854,
        3.601360892283953,
        3.601374462491821,
        3.6013880326996883,
        3.6014016029075564,
        3.601415173115425,
        3.6014287433232925,
        3.6014423135311606,
        3.6014558837390283,
        3.601469453946896,
        3.601483024154764,
        3.6014965943626316,
        3.6015101645705,
        3.6015237347783673,
        3.6015373049862354,
        3.6015508751941034,
        3.601564445401971,
        3.601578015609839,
        3.6015915858177063,
        3.601605156025575,
        3.601618726233443,
        3.60163229644131,
        3.601645866649178,
        3.6016594368570463,
        3.601673007064914,
        3.601686577272782,
        3.6017001474806496,
        3.6017137176885177,
        3.6017272878963857,
        3.6017408581042534,
        3.601754428312121,
        3.6017679985199886,
        3.6017815687278567,
        3.6017951389357252,
        3.601808709143593,
        3.6018222793514605,
        3.601835849559328,
        3.601849419767196,
        3.6018629899750643,
        3.6018765601829315,
        3.6018901303908,
        3.6019037005986676,
        3.6019172708065357,
        3.6019308410144038,
        3.601944411222271,
        3.601957981430139,
        3.6019715516380066,
        3.601985121845875,
        3.601998692053743,
        3.6020122622616104,
        3.6020258324694785,
        3.602039402677346,
        3.602052972885214,
        3.602066543093082,
        3.60208011330095,
        3.602093683508818,
        3.602107253716685,
        3.6021208239245532,
        3.6021343941324213,
        3.602147964340289,
        3.602161534548157,
        3.6021751047560246,
        3.6021886749638927,
        3.602202245171761,
        3.6022158153796284,
        3.602229385587496,
        3.6022429557953637,
        3.6022565260032318,
        3.6022700962111003,
        3.602283666418968,
        3.602297236626836,
        3.602310806834703,
        3.6023243770425712,
        3.6023379472504393,
        3.6023515174583065,
        3.602365087666175,
        3.6023786578740427,
        3.6023922280819107,
        3.602405798289779,
        3.602419368497646,
        3.602432938705514,
        3.6024465089133817,
        3.60246007912125,
        3.602473649329118,
        3.6024872195369855,
        3.6025007897448535,
        3.602514359952721,
        3.6026093514077964,
        3.602622921615664,
        3.602636491823532,
        3.6026500620314006,
        3.6026636322392678,
        3.602677202447136,
        3.6026907726550035,
        3.602704342862871,
        3.6027179130707387,
        3.602731483278607,
        3.6028129045258144,
        3.602826474733682,
        3.60284004494155,
        3.602853615149418,
        3.602867185357286,
        3.602880755565154,
        3.602894325773021,
        3.602907895980889,
        3.6029214661887576,
        3.6029350363966253,
        3.602948606604493,
        3.6029621768123605,
        3.6029757470202286,
        3.6029893172280967,
        3.6030028874359643,
        3.603016457643833,
        3.6030300278517,
        3.603043598059568,
        3.603057168267436,
        3.6030707384753033,
        3.6030843086831714,
        3.603097878891039,
        3.6031114490989076,
        3.6031250193067756,
        3.603138589514643,
        3.603152159722511,
        3.6031657299303785,
        3.6031793001382466,
        3.6031928703461142,
        3.6032064405539823,
        3.6032200107618504,
        3.603233580969718,
        3.603247151177586,
        3.6032607213854537,
        3.6032742915933214,
        3.6032878618011894,
        3.6033014320090575,
        3.603315002216925,
        3.603328572424793,
        3.603342142632661,
        3.603355712840529,
        3.6033692830483965,
        3.603382853256264,
        3.6033964234641327,
        3.6034778447113394,
        3.603491414919208,
        3.603504985127075,
        3.603518555334943,
        3.603532125542811,
        3.6035456957506784,
        3.6035592659585465,
        3.603572836166414,
        3.6035864063742826,
        3.6035999765821507,
        3.603613546790018,
        3.603627116997886,
        3.6036406872057536,
        3.6036542574136217,
        3.6036678276214893,
        3.6036813978293574,
        3.6036949680372254,
        3.603708538245093,
        3.603722108452961,
        3.6037356786608292,
        3.6037492488686964,
        3.6037628190765645,
        3.603776389284433,
        3.6037899594923,
        3.6038035297001683,
        3.603817099908036,
        3.603830670115904,
        3.603844240323772,
        3.6038578105316392,
        3.6038713807395077,
        3.6038849509473754,
        3.603898521155243,
        3.603912091363111,
        3.6039256615709787,
        3.603939231778847,
        3.6039528019867144,
        3.603966372194583,
        3.6039799424024506,
        3.603993512610318,
        3.6040070828181863,
        3.604020653026054,
        3.6040342232339215,
        3.6040477934417896,
        3.6040613636496577,
        3.6040749338575258,
        3.6040885040653934,
        3.604102074273261,
        3.604115644481129,
        3.6041292146889967,
        3.6041427848968643,
        3.6041563551047324,
        3.6041699253126005,
        3.6041834955204686,
        3.604197065728336,
        3.6042106359362043,
        3.6042242061440715,
        3.6042377763519395,
        3.604251346559808,
        3.6042649167676752,
        3.6042784869755433,
        3.604292057183411,
        3.604305627391279,
        3.604319197599147,
        3.6043327678070143,
        3.604346338014883,
        3.6043599082227504,
        3.604373478430618,
        3.604387048638486,
        3.6044006188463538,
        3.604414189054222,
        3.6044277592620895,
        3.604441329469958,
        3.604454899677826,
        3.6044684698856932,
        3.6044820400935613,
        3.604495610301429,
        3.6045091805092966,
        3.6045227507171647,
        3.6045363209250327,
        3.604549891132901,
        3.6045634613407684,
        3.604577031548636,
        3.604590601756504,
        3.6046041719643718,
        3.6046177421722394,
        3.6046313123801075,
        3.6046448825879756,
        3.6046584527958436,
        3.6046720230037113,
        3.6046855932115793,
        3.604699163419447,
        3.6047127336273146,
        3.604726303835183,
        3.6047398740430507,
        3.6047534442509184,
        3.604767014458786,
        3.604780584666654,
        3.604794154874522,
        3.60480772508239,
        3.604821295290258,
        3.604834865498126,
        3.6048484357059936,
        3.604862005913861,
        3.604875576121729,
        3.604889146329597,
        3.604902716537465,
        3.604916286745333,
        3.604929856953201,
        3.6049434271610683,
        3.6049569973689364,
        3.6049705675768045,
        3.6049841377846716,
        3.6049977079925397,
        3.605011278200408,
        3.605024848408276,
        3.605038418616144,
        3.605051988824011,
        3.605065559031879,
        3.605079129239747,
        3.6050926994476145,
        3.605106269655483,
        3.6051198398633506,
        3.6051334100712187,
        3.6051469802790863,
        3.6051605504869544,
        3.6051741206948225,
        3.60518769090269,
        3.605201261110558,
        3.605214831318426,
        3.6052284015262934,
        3.6052419717341615,
        3.605418384436444,
        3.6054319546443114,
        3.6054455248521795,
        3.605459095060047,
        3.605472665267915,
        3.605486235475783,
        3.605499805683651,
        3.605513375891519,
        3.6055269460993866,
        3.6055405163072543,
        3.605554086515122,
        3.6055676567229904,
        3.605581226930858,
        3.6055947971387257,
        3.6056083673465937,
        3.6056219375544614,
        3.6056355077623294,
        3.6056490779701975,
        3.605662648178065,
        3.605676218385933,
        3.605689788593801,
        3.6057033588016685,
        3.6057169290095366,
        3.605730499217404,
        3.6057440694252723,
        3.6057576396331403,
        3.605771209841008,
        3.605784780048876,
        3.6057983502567437,
        3.6058119204646113,
        3.605825490672479,
        3.605839060880347,
        3.6058526310882155,
        3.606096894829837,
        3.6061104650377045,
        3.6061240352455726,
        3.6061376054534406,
        3.6061511756613083,
        3.6061647458691763,
        3.606178316077044,
        3.6061918862849116,
        3.6062054564927792,
        3.6062190267006473,
        3.606232596908516,
        3.6062461671163835,
        3.606259737324251,
        3.6062733075321187,
        3.606286877739987,
        3.6063004479478544,
        3.606314018155722,
        3.6063275883635906,
        3.606341158571458,
        3.6063547287793263,
        3.6063682989871944,
        3.6063818691950615,
        3.6063954394029296,
        3.6064090096107972,
        3.6064225798186653,
        3.6064361500265334,
        3.606449720234401,
        3.606463290442269,
        3.6064768606501367,
        3.6064904308580044,
        3.6065040010658724,
        3.6065175712737405,
        3.6065311414816086,
        3.6065447116894758,
        3.606558281897344,
        3.606571852105212,
        3.6065854223130795,
        3.6065989925209476,
        3.6066125627288157,
        3.6066261329366833,
        3.6066397031445514,
        3.606653273352419,
        3.6066668435602867,
        3.6066804137681543,
        3.6066939839760224,
        3.606707554183891,
        3.6067211243917585,
        3.606734694599626,
        3.6067482648074938,
        3.606761835015362,
        3.6067754052232295,
        3.606788975431097,
        3.6068025456389656,
        3.6070603795884546,
        3.6070739497963227,
        3.607087520004191,
        3.6071010902120584,
        3.6071146604199265,
        3.607128230627794,
        3.6071418008356617,
        3.60715537104353,
        3.6071689412513974,
        3.607182511459266,
        3.6071960816671336,
        3.607209651875001,
        3.6072232220828693,
        3.607236792290737,
        3.607250362498605,
        3.607263932706472,
        3.6072775029143407,
        3.6072910731222088,
        3.6073046433300764,
        3.6073182135379445,
        3.607331783745812,
        3.6073453539536797,
        3.607358924161548,
        3.607372494369416,
        3.6073860645772835,
        3.607399634785151,
        3.607413204993019,
        3.6074267752008873,
        3.607440345408755,
        3.6074539156166225,
        3.6074674858244906,
        3.6074810560323587,
        3.6074946262402263,
        3.607711749566112,
        3.60772531977398,
        3.6077388899818477,
        3.6077524601897157,
        3.607766030397584,
        3.6077796006054514,
        3.6077931708133195,
        3.607806741021187,
        3.6078203112290548,
        3.6078338814369233,
        3.607847451644791,
        3.607861021852659,
        3.607874592060526,
        3.6078881622683943,
        3.6079017324762623,
        3.60791530268413,
        3.607928872891998,
        3.6079424430998657,
        3.6079560133077337,
        3.607969583515602,
        3.607983153723469,
        3.607996723931337,
        3.608010294139205,
        3.6080238643470732,
        3.6080374345549413,
        3.608051004762809,
        3.6080645749706766,
        3.6080781451785446
    ],
    "flux": [
        1.27257,
        1.23725,
        1.26825,
        1.29824,
        1.27323,
        1.26704,
        1.26693,
        1.25381,
        1.26715,
        1.29273,
        1.28132,
        1.28509,
        1.30795,
        1.31529,
        1.30204,
        1.2883,
        1.28215,
        1.26525,
        1.26889,
        1.27539,
        1.2694,
        1.25114,
        1.25225,
        1.28853,
        1.28773,
        1.27256,
        1.26171,
        1.25889,
        1.26418,
        1.26939,
        1.27121,
        1.27237,
        1.26111,
        1.25108,
        1.25605,
        1.25934,
        1.24805,
        1.24311,
        1.25893,
        1.27059,
        1.27237,
        1.25904,
        1.25647,
        1.2593,
        1.25713,
        1.25244,
        1.25464,
        1.26248,
        1.26338,
        1.26597,
        1.26336,
        1.26048,
        1.25154,
        1.25915,
        1.31205,
        1.35828,
        1.32389,
        1.27738,
        1.25735,
        1.25263,
        1.25809,
        1.26503,
        1.25869,
        1.25903,
        1.26771,
        1.25837,
        1.2561,
        1.25249,
        1.24878,
        1.24996,
        1.25142,
        1.27708,
        1.29178,
        1.29032,
        1.28185,
        1.28386,
        1.26631,
        1.2506,
        1.26093,
        1.25975,
        1.27623,
        1.2913,
        1.30256,
        1.30668,
        1.30701,
        1.30908,
        1.31111,
        1.29513,
        1.25323,
        1.252,
        1.25848,
        1.26308,
        1.25799,
        1.24565,
        1.24164,
        1.22926,
        1.24207,
        1.26971,
        1.24628,
        1.25165,
        1.25499,
        1.25507,
        1.25097,
        1.23649,
        1.24787,
        1.26277,
        1.25996,
        1.29583,
        1.2777,
        1.2734,
        1.2747,
        1.2587,
        1.25457,
        1.26201,
        1.27135,
        1.2826,
        1.27511,
        1.2687,
        1.28414,
        1.27703,
        1.26491,
        1.26712,
        1.27818,
        1.2775,
        1.28278,
        1.27501,
        1.26377,
        1.24675,
        1.25139,
        1.25837,
        1.24785,
        1.25679,
        1.25183,
        1.24927,
        1.24791,
        1.24658,
        1.25024,
        1.25317,
        1.2479,
        1.24398,
        1.2418,
        1.24647,
        1.2514,
        1.25327,
        1.25153,
        1.25187,
        1.25969,
        1.26871,
        1.27711,
        1.28834,
        1.2873,
        1.2843,
        1.28711,
        1.28278,
        1.25986,
        1.26143,
        1.25786,
        1.26186,
        1.25569,
        1.25405,
        1.26062,
        1.26377,
        1.25404,
        1.254,
        1.25451,
        1.25741,
        1.25287,
        1.25329,
        1.25872,
        1.26054,
        1.25645,
        1.25882,
        1.25361,
        1.25692,
        1.26105,
        1.26263,
        1.26839,
        1.27781,
        1.27982,
        1.29737,
        1.2983,
        1.29624,
        1.30462,
        1.31328,
        1.31931,
        1.31927,
        1.30644,
        1.33473,
        1.35764,
        1.33052,
        1.31739,
        1.3194,
        1.32389,
        1.32434,
        1.32032,
        1.32801,
        1.31511,
        1.29736,
        1.29828,
        1.30916,
        1.31705,
        1.31473,
        1.29937,
        1.30082,
        1.28549,
        1.28637,
        1.2913,
        1.29451,
        1.29251,
        1.27744,
        1.27659,
        1.27208,
        1.26638,
        1.25916,
        1.25729,
        1.27794,
        1.2794,
        1.29471,
        1.28701,
        1.28583,
        1.27873,
        1.27235,
        1.28511,
        1.27654,
        1.27386,
        1.27191,
        1.27897,
        1.29134,
        1.29127,
        1.28091,
        1.27912,
        1.28175,
        1.2978,
        1.28791,
        1.28868,
        1.28985,
        1.28634,
        1.28438,
        1.28833,
        1.28319,
        1.2784,
        1.27098,
        1.27024,
        1.27986,
        1.28615,
        1.29018,
        1.30132,
        1.28884,
        1.28742,
        1.30174,
        1.29878,
        1.29151,
        1.29839,
        1.31007,
        1.30316,
        1.29549,
        1.28604,
        1.27841,
        1.27583,
        1.27297,
        1.26978,
        1.26537,
        1.25985,
        1.26438,
        1.2594,
        1.25694,
        1.26516,
        1.26059,
        1.24885,
        1.24552,
        1.25355,
        1.2628,
        1.26592,
        1.26254,
        1.26242,
        1.26163,
        1.2602,
        1.25974,
        1.25928,
        1.25545,
        1.25756,
        1.25836,
        1.25685,
        1.25699,
        1.26154,
        1.26108,
        1.24821,
        1.24891,
        1.24882,
        1.2446,
        1.26242,
        1.27312,
        1.27508,
        1.27602,
        1.27958,
        1.29106,
        1.2854,
        1.28205,
        1.2919,
        1.28241,
        1.27597,
        1.28015,
        1.2769,
        1.28239,
        1.27554,
        1.29128,
        1.31108,
        1.31493,
        1.31475,
        1.31594,
        1.31152,
        1.30726,
        1.30092,
        1.32548,
        1.34387,
        1.33365,
        1.32983,
        1.33719,
        1.33622,
        1.35355,
        1.35738,
        1.33965,
        1.33295,
        1.33648,
        1.33774,
        1.33132,
        1.31989,
        1.30531,
        1.2993,
        1.3002,
        1.29566,
        1.28915,
        1.28636,
        1.28825,
        1.28911,
        1.2817,
        1.2726,
        1.27336,
        1.28888,
        1.29648,
        1.28368,
        1.27334,
        1.28136,
        1.28206,
        1.2868,
        1.27678,
        1.27556,
        1.27094,
        1.27268,
        1.27754,
        1.27792,
        1.27865,
        1.278,
        1.27314,
        1.27104,
        1.27003,
        1.27069,
        1.26629,
        1.25857,
        1.26005,
        1.25728,
        1.26159,
        1.26536,
        1.26665,
        1.26242,
        1.26028,
        1.26221,
        1.2589,
        1.25444,
        1.26553,
        1.26459,
        1.25978,
        1.26789,
        1.28165,
        1.28448,
        1.27546,
        1.28199,
        1.2792,
        1.26282,
        1.25737,
        1.26028,
        1.26062,
        1.25366,
        1.24617,
        1.2496,
        1.25647,
        1.25286,
        1.24826,
        1.2482,
        1.24971,
        1.251,
        1.2516,
        1.24672,
        1.23783,
        1.29392,
        1.30198,
        1.27378,
        1.25226,
        1.24667,
        1.24242,
        1.24259,
        1.24248,
        1.24552,
        1.2526,
        1.24953,
        1.24884,
        1.25062,
        1.24843,
        1.2471,
        1.24995,
        1.24683,
        1.2458,
        1.24457,
        1.24837,
        1.24848,
        1.24511,
        1.25287,
        1.25285,
        1.25912,
        1.25109,
        1.24865,
        1.24483,
        1.24291,
        1.24413,
        1.24464,
        1.25477,
        1.253,
        1.24254,
        1.24597,
        1.24774,
        1.2461,
        1.24356,
        1.24098,
        1.24335,
        1.24351,
        1.24705,
        1.25072,
        1.25248,
        1.25282,
        1.25289,
        1.25314,
        1.25298,
        1.25131,
        1.25691,
        1.25308,
        1.25093,
        1.24973,
        1.24954,
        1.25042,
        1.24927,
        1.2493,
        1.25314,
        1.2587,
        1.26623,
        1.27247,
        1.27001,
        1.26207,
        1.26299,
        1.27194,
        1.26409,
        1.25821,
        1.25152,
        1.25277,
        1.2571,
        1.25762,
        1.25255,
        1.23986,
        1.2471,
        1.25676,
        1.24618,
        1.24408,
        1.24758,
        1.24712,
        1.24355,
        1.24443,
        1.25342,
        1.25365,
        1.23762,
        1.24175,
        1.24791,
        1.24786,
        1.24857,
        1.25104,
        1.25336,
        1.24207,
        1.24527,
        1.24304,
        1.2463,
        1.25066,
        1.25424,
        1.24828,
        1.24677,
        1.25105,
        1.24697,
        1.24149,
        1.24105,
        1.24147,
        1.24951,
        1.24974,
        1.24306,
        1.2425,
        1.24601,
        1.24714,
        1.24729,
        1.24433,
        1.2463,
        1.25256,
        1.25467,
        1.24784,
        1.23816,
        1.23675,
        1.23945,
        1.24282,
        1.24048,
        1.23996,
        1.23851,
        1.23709,
        1.23951,
        1.23411,
        1.24777,
        1.23491,
        1.24103,
        1.25034,
        1.26043,
        1.24377,
        1.24668,
        1.2485,
        1.24638,
        1.24206,
        1.23817,
        1.23827,
        1.23976,
        1.2411,
        1.24602,
        1.23423,
        1.24004,
        1.24292,
        1.24355,
        1.24503,
        1.24386,
        1.24035,
        1.2422,
        1.24544,
        1.23987,
        1.23123,
        1.23428,
        1.24069,
        1.23889,
        1.23783,
        1.2484,
        1.24507,
        1.24181,
        1.23582,
        1.24295,
        1.24429,
        1.24135,
        1.24395,
        1.25164,
        1.2517,
        1.24916,
        1.24826,
        1.24491,
        1.24418,
        1.25,
        1.25076,
        1.24559,
        1.24635,
        1.24398,
        1.23832,
        1.24972,
        1.24596,
        1.24297,
        1.24404,
        1.24248,
        1.23772,
        1.24226,
        1.24273,
        1.24241,
        1.24089,
        1.24972,
        1.2531,
        1.25117,
        1.25157,
        1.25254,
        1.2489,
        1.24199,
        1.24466,
        1.24739,
        1.24363,
        1.24043,
        1.2421,
        1.24427,
        1.24443,
        1.26893,
        1.24882,
        1.23793,
        1.23736,
        1.23713,
        1.23434,
        1.23653,
        1.24613,
        1.23314,
        1.2377,
        1.24488,
        1.244,
        1.24314,
        1.24038,
        1.24389,
        1.25054,
        1.24743,
        1.24394,
        1.24131,
        1.24394,
        1.24662,
        1.24457,
        1.23635,
        1.22995,
        1.24096,
        1.24661,
        1.2555,
        1.25727,
        1.26191,
        1.26127,
        1.262,
        1.26435,
        1.25437,
        1.2558,
        1.24744,
        1.24593,
        1.24434,
        1.24724,
        1.2512,
        1.25076,
        1.24872,
        1.25585,
        1.25623,
        1.25211,
        1.25204,
        1.25609,
        1.25792,
        1.25308,
        1.24566,
        1.24503,
        1.25163,
        1.2583,
        1.24587,
        1.24278,
        1.24569,
        1.24773,
        1.24724,
        1.24808,
        1.25299,
        1.25351,
        1.24896,
        1.2478,
        1.2525,
        1.25192,
        1.25187,
        1.25387,
        1.24885,
        1.24497,
        1.24288,
        1.24776,
        1.24968,
        1.25141,
        1.2506,
        1.25061,
        1.25284,
        1.25078,
        1.25123,
        1.24945,
        1.24617,
        1.25105,
        1.25748,
        1.25661,
        1.25379,
        1.25724,
        1.25503,
        1.2482,
        1.25438,
        1.25672,
        1.25419,
        1.25122,
        1.25091,
        1.25467,
        1.25894,
        1.25009,
        1.26066,
        1.26335,
        1.25567,
        1.25435,
        1.25306,
        1.2506,
        1.25212,
        1.25408,
        1.25292,
        1.25591,
        1.25291,
        1.25365,
        1.25037,
        1.25073,
        1.25414,
        1.25169,
        1.25457,
        1.25346,
        1.24512,
        1.24917,
        1.24464,
        1.23877,
        1.24279,
        1.25262,
        1.25373,
        1.24819,
        1.251,
        1.24995,
        1.25275,
        1.2531,
        1.25555,
        1.25786,
        1.25516,
        1.25182,
        1.24614,
        1.25121,
        1.25092,
        1.25018,
        1.24803,
        1.24628,
        1.24792,
        1.24998,
        1.2434,
        1.24715,
        1.25018,
        1.25419,
        1.25059,
        1.2412,
        1.23882,
        1.24517,
        1.24896,
        1.25646,
        1.2507,
        1.25516,
        1.2543,
        1.25293,
        1.2532,
        1.2512,
        1.24517,
        1.24241,
        1.25248,
        1.25261,
        1.25071,
        1.25029,
        1.24657,
        1.24508,
        1.24833,
        1.25095,
        1.25107,
        1.26346,
        1.2435,
        1.23624,
        1.2364,
        1.24189,
        1.24762,
        1.25216,
        1.25381,
        1.24064,
        1.24717,
        1.25074,
        1.24868,
        1.24426,
        1.24429,
        1.24931,
        1.25258,
        1.24891,
        1.24201,
        1.24366,
        1.24583,
        1.2485,
        1.24542,
        1.24353,
        1.24111,
        1.24138,
        1.24313,
        1.24171,
        1.24772,
        1.24145,
        1.24829,
        1.25063,
        1.24694,
        1.24754,
        1.25194,
        1.2504,
        1.24172,
        1.24587,
        1.2571,
        1.24955,
        1.24321,
        1.24635,
        1.24601,
        1.24137,
        1.24076,
        1.24406,
        1.25385,
        1.2498,
        1.24851,
        1.25039,
        1.25247,
        1.25442,
        1.25544,
        1.25315,
        1.24774,
        1.24952,
        1.24703,
        1.2477,
        1.25251,
        1.25776,
        1.26236,
        1.26451,
        1.26254,
        1.26055,
        1.26504,
        1.2639,
        1.27223,
        1.27165,
        1.27513,
        1.27623,
        1.27639,
        1.28603,
        1.28583,
        1.27238,
        1.28028,
        1.27474,
        1.26837,
        1.26638,
        1.26861,
        1.26916,
        1.26372,
        1.26068,
        1.25892,
        1.25567,
        1.25485,
        1.25499,
        1.25571,
        1.25428,
        1.25282,
        1.25489,
        1.2493,
        1.25092,
        1.25626,
        1.25722,
        1.25134,
        1.24778,
        1.24848,
        1.24959,
        1.2499,
        1.24978,
        1.25103,
        1.25667,
        1.26477,
        1.26621,
        1.26096,
        1.25969,
        1.26439,
        1.26491,
        1.27081,
        1.26959,
        1.27115,
        1.27543,
        1.27174,
        1.2667,
        1.26433,
        1.26477,
        1.26692,
        1.25568,
        1.26006,
        1.25867,
        1.25519,
        1.25399,
        1.25009,
        1.24619,
        1.24497,
        1.24204,
        1.25266,
        1.24619,
        1.24583,
        1.25064,
        1.25025,
        1.2475,
        1.2477,
        1.24752,
        1.24009,
        1.23939,
        1.24623,
        1.24863,
        1.24526,
        1.24214,
        1.24461,
        1.24722,
        1.24761,
        1.25431,
        1.25188,
        1.25461,
        1.24911,
        1.2427,
        1.24206,
        1.24367,
        1.24454,
        1.24426,
        1.24423,
        1.25661,
        1.24405,
        1.24792,
        1.25106,
        1.241,
        1.23497,
        1.24154,
        1.2465,
        1.23763,
        1.24341,
        1.24342,
        1.24257,
        1.2421,
        1.24532,
        1.24343,
        1.23784,
        1.23901,
        1.24734,
        1.24856,
        1.24612,
        1.24492,
        1.24292,
        1.24479,
        1.24853,
        1.24916,
        1.24566,
        1.24313,
        1.24501,
        1.2404,
        1.25273,
        1.24965,
        1.2502,
        1.25367,
        1.25604,
        1.25798,
        1.25866,
        1.25185,
        1.24709,
        1.24822,
        1.25206,
        1.25406,
        1.2497,
        1.24843,
        1.25353,
        1.25046,
        1.2433,
        1.24243,
        1.24472,
        1.24825,
        1.24723,
        1.24665,
        1.24764,
        1.24679,
        1.24411,
        1.24473,
        1.23914,
        1.23697,
        1.24013,
        1.24212,
        1.2374,
        1.23782,
        1.24522,
        1.24312,
        1.24098,
        1.23845,
        1.24426,
        1.24463,
        1.24691,
        1.24443,
        1.24328,
        1.2448,
        1.2424,
        1.25036,
        1.2462,
        1.24482,
        1.24502,
        1.24629,
        1.24596,
        1.24315,
        1.24006,
        1.24002,
        1.2452,
        1.25938,
        1.27619,
        1.25491,
        1.23356,
        1.24182,
        1.2462,
        1.23844,
        1.24385,
        1.24071,
        1.23964,
        1.24457,
        1.24376,
        1.24287,
        1.24867,
        1.23807,
        1.23938,
        1.24239,
        1.24054,
        1.23897,
        1.23937,
        1.24152,
        1.24854,
        1.24825,
        1.24975,
        1.24727,
        1.24947,
        1.25067,
        1.25181,
        1.25254,
        null,
        1.23325,
        1.2323,
        1.23205,
        1.22287,
        1.19716,
        1.20004,
        1.2208,
        1.24232,
        1.24151,
        1.2325,
        1.2313,
        1.22844,
        1.22033,
        1.21885,
        1.22714,
        1.23107,
        1.22545,
        1.22378,
        1.22205,
        1.23396,
        1.23666,
        1.23011,
        1.22666,
        1.2288,
        1.23197,
        1.22855,
        1.23515,
        1.23096,
        1.22816,
        1.23022,
        1.22984,
        1.22713,
        1.22606,
        1.22783,
        1.23305,
        1.23077,
        1.23339,
        1.23176,
        1.2292,
        1.23126,
        1.2346,
        1.23723,
        1.23636,
        1.22946,
        1.22747,
        1.23165,
        1.22413,
        1.22422,
        1.22877,
        1.23056,
        1.22934,
        1.22745,
        1.2255,
        1.22302,
        1.22185,
        1.22343,
        1.22672,
        1.22883,
        1.22254,
        1.2247,
        1.22933,
        1.22632,
        1.22122,
        1.22395,
        1.22629,
        1.22966,
        1.2341,
        1.23424,
        1.22825,
        1.22757,
        1.23065,
        1.23107,
        1.22843,
        1.22702,
        1.22686,
        1.22264,
        1.22823,
        1.22345,
        1.22305,
        1.22278,
        1.22018,
        1.22286,
        1.22964,
        1.22354,
        1.22067,
        1.22311,
        1.22236,
        1.22369,
        1.22644,
        1.22447,
        1.22502,
        1.22777,
        1.2229,
        1.21506,
        1.22352,
        1.22291,
        1.22262,
        1.2227,
        1.22273,
        1.22459,
        1.22634,
        1.22574,
        1.22572,
        1.23005,
        1.2267,
        1.22993,
        1.21272,
        1.21028,
        1.21937,
        1.22713,
        1.22972,
        1.22925,
        1.23,
        1.23392,
        1.22605,
        1.23002,
        1.23747,
        1.23869,
        1.2374,
        1.23278,
        1.23242,
        1.2332,
        1.23029,
        1.23622,
        1.24036,
        1.23609,
        1.23944,
        1.24829,
        1.25394,
        1.25833,
        1.26343,
        1.26829,
        1.27633,
        1.28991,
        1.28342,
        1.28925,
        1.29315,
        1.28749,
        1.27806,
        1.27133,
        1.27062,
        1.27107,
        1.26799,
        1.26246,
        1.24773,
        1.25019,
        1.24737,
        1.24464,
        1.24242,
        1.24213,
        1.23889,
        1.23889,
        1.24343,
        1.24073,
        1.24251,
        1.2419,
        1.24173,
        1.2388,
        1.24405,
        1.24627,
        1.24835,
        1.24759,
        1.24744,
        1.25624,
        1.25251,
        1.26131,
        1.25904,
        1.26797,
        1.27622,
        1.27306,
        1.27484,
        1.29569,
        1.3113,
        1.29335,
        1.27955,
        1.28925,
        1.28949,
        1.28802,
        1.2808,
        1.27566,
        1.2703,
        1.26865,
        1.27069,
        1.26807,
        1.25752,
        1.24381,
        1.24496,
        1.24435,
        1.24197,
        1.24001,
        1.2213,
        1.2109,
        1.22174,
        1.23023,
        1.22179,
        1.22318,
        1.22777,
        1.22584,
        1.2299,
        1.23531,
        1.23411,
        1.22973,
        1.23086,
        1.23608,
        1.23742,
        1.24111,
        1.23789,
        1.23897,
        1.23005,
        1.23404,
        1.23301,
        1.23518,
        1.23824,
        1.23766,
        1.23831,
        1.23747,
        1.23883,
        1.239,
        1.24294,
        1.23669,
        1.23309,
        1.23387,
        1.23178,
        1.22761,
        1.22725,
        1.22678,
        1.22045,
        1.23252,
        1.22906,
        1.22823,
        1.22833,
        1.23045,
        1.23143,
        1.23216,
        1.23253,
        1.23025,
        1.23212,
        1.23102,
        1.22546,
        1.22989,
        1.22696,
        1.22097,
        1.22022,
        1.22226,
        1.22166,
        1.22123,
        1.22504,
        1.2172,
        1.22072,
        1.2267,
        1.2218,
        1.22689,
        1.22368,
        1.22062,
        1.22583,
        1.23099,
        1.22906,
        1.2234,
        1.2297,
        1.23574,
        1.24463,
        1.24642,
        1.24446,
        1.25179,
        1.26177,
        1.26584,
        1.2706,
        1.27925,
        1.27926,
        1.28363,
        1.29179,
        1.29786,
        1.30826,
        1.31748,
        1.32809,
        1.33483,
        1.32935,
        1.31832,
        1.31692,
        1.32953,
        1.31874,
        1.31656,
        1.31606,
        1.30713,
        1.29614,
        1.28631,
        1.28233,
        1.28493,
        1.27899,
        1.26982,
        1.26907,
        1.26937,
        1.26352,
        1.26159,
        1.26061,
        1.26133,
        1.26269,
        1.263,
        1.26169,
        1.25468,
        1.25592,
        1.26666,
        1.2615,
        1.25601,
        1.25382,
        1.25511,
        1.25761,
        1.25773,
        1.25388,
        1.24836,
        1.24423,
        1.24291,
        1.24739,
        1.23886,
        1.2346,
        1.23578,
        1.23609,
        1.23781,
        1.24004,
        1.23819,
        1.24057,
        1.23817,
        1.24214,
        1.2225,
        1.23265,
        1.23255,
        1.2263,
        1.22539,
        1.22813,
        1.23029,
        1.23058,
        1.22965,
        1.23083,
        1.22458,
        1.21792,
        1.21917,
        1.22414,
        1.22706,
        1.21548,
        1.2528,
        1.27975,
        1.26107,
        1.23634,
        1.22951,
        1.23057,
        1.2288,
        1.22473,
        1.22292,
        1.2263,
        1.2273,
        1.2371,
        1.21929,
        1.21737,
        1.2193,
        1.22567,
        1.2275,
        1.22642,
        1.22991,
        1.23545,
        1.24064,
        1.23389,
        1.23355,
        1.22479,
        1.22611,
        1.22622,
        1.22968,
        1.23127,
        1.23021,
        1.23283,
        1.23802,
        1.23897,
        1.23534,
        1.22986,
        1.22873,
        1.23192,
        1.23172,
        1.2324,
        1.23776,
        1.23756,
        1.23374,
        1.24759,
        1.25899,
        1.25202,
        1.23973,
        1.24597,
        1.25385,
        1.25126,
        1.23667,
        1.24146,
        1.25927,
        1.26243,
        1.26414,
        1.26128,
        1.26261,
        1.26222,
        1.26297,
        1.26428,
        1.26166,
        1.25577,
        1.25068,
        1.24538,
        1.24244,
        1.24949,
        1.25036,
        1.23759,
        1.23717,
        1.23715,
        1.23386,
        1.23401,
        1.23495,
        1.23427,
        1.23232,
        1.23323,
        1.23903,
        1.23592,
        1.23044,
        1.22715,
        1.23233,
        1.23505,
        1.23483,
        1.22947,
        1.2276,
        1.23041,
        1.23269,
        1.23489,
        1.23149,
        1.23091,
        1.22294,
        1.22776,
        1.2276,
        1.22744,
        1.22352,
        1.22391,
        1.22914,
        1.23258,
        1.23269,
        1.22614,
        1.24117,
        1.23799,
        1.23332,
        1.23121,
        1.22945,
        1.23148,
        1.23184,
        1.23145,
        1.23042,
        1.22537,
        1.23043,
        1.22943,
        1.22562,
        1.22949,
        1.22948,
        1.22459,
        1.22987,
        1.23258,
        1.22844,
        1.22719,
        1.22844,
        1.22405,
        1.23003,
        1.23899,
        1.24045,
        1.23739,
        1.23141,
        1.2287,
        1.23165,
        1.23637,
        1.23851,
        1.23575,
        1.23198,
        1.2502,
        1.23189,
        1.23971,
        1.23121,
        1.23482,
        1.23185,
        1.23046,
        1.22808,
        1.22663,
        1.23041,
        1.22681,
        1.23266,
        1.23143,
        1.22507,
        1.2281,
        1.23275,
        1.23157,
        1.23198,
        1.24087,
        1.24272,
        1.23583,
        1.23671,
        1.23637,
        1.24126,
        1.24567,
        1.24165,
        1.23386,
        1.23057,
        1.22798,
        1.22894,
        1.23466,
        1.23221,
        1.2345,
        1.23653,
        1.22794,
        1.22499,
        1.22911,
        1.22753,
        1.2289,
        1.23309,
        1.23329,
        1.23673,
        1.23596,
        1.23497,
        1.23586,
        1.23453,
        1.22984,
        1.22591,
        1.22743,
        1.2315,
        1.22984,
        1.23517,
        1.24274,
        1.23348,
        1.22862,
        1.22704,
        1.22699,
        1.22598,
        1.2207,
        1.21686,
        1.22141,
        1.22706,
        1.22642,
        1.21842,
        1.22035,
        1.21571,
        1.21403,
        1.22362,
        1.22717,
        1.22543,
        1.22504,
        1.22326,
        1.21952,
        1.22342,
        1.22623,
        1.22319,
        1.22314,
        1.22234,
        1.2201,
        1.22039,
        1.21803,
        1.22329,
        1.23205,
        1.22971,
        1.22468,
        1.22048,
        1.21944,
        1.23266,
        1.22639,
        1.2196,
        1.22323,
        1.22767,
        1.22982,
        1.22868,
        1.21949,
        1.20874,
        1.21802,
        1.23055,
        1.22013,
        1.23582,
        1.23056,
        1.23242,
        1.23527,
        1.22815,
        1.23101,
        1.2261,
        1.22431,
        1.22201,
        1.22181,
        1.22476,
        1.22367,
        1.22733,
        1.23179,
        1.23056,
        1.22994,
        1.23571,
        1.23631,
        1.22863,
        1.23031,
        1.23378,
        1.22494,
        1.22785,
        1.23337,
        1.23578,
        1.23203,
        1.23019,
        1.23329,
        1.23309,
        1.23271,
        1.23817,
        1.23858,
        1.24576,
        1.24144,
        1.24009,
        1.24434,
        1.24956,
        1.25177,
        1.25283,
        1.25354,
        1.25338,
        1.25815,
        1.25914,
        1.25955,
        1.25462,
        1.26007,
        1.26857,
        1.27518,
        1.27699,
        1.27475,
        1.27306,
        1.27157,
        1.26449,
        1.25696,
        1.25928,
        1.25682,
        1.26167,
        1.25519,
        1.25583,
        1.25889,
        1.26124,
        1.26085,
        1.25911,
        1.25981,
        1.26273,
        1.26328,
        1.26474,
        1.26958,
        1.25854,
        1.2639,
        1.25018,
        1.25551,
        1.26044,
        1.2524,
        1.23822,
        1.24036,
        1.2374,
        1.24319,
        1.25222,
        1.24427,
        1.2363,
        1.23877,
        1.24017,
        1.23093,
        1.23424,
        1.22716,
        1.23391,
        1.23147,
        1.22922,
        1.22754,
        1.22401,
        1.21898,
        1.2163,
        1.22723,
        1.22736,
        1.23068,
        1.23194,
        1.21496,
        1.23354,
        1.20209,
        1.19801,
        1.22539,
        1.2417,
        1.23934,
        1.23078,
        1.2198,
        1.22444,
        1.23249,
        1.2241,
        1.22895,
        1.2272,
        1.22622,
        1.227,
        1.22745,
        1.23165,
        1.22847,
        1.21277,
        1.2183,
        1.24513,
        1.21569,
        1.25364,
        1.24022,
        1.23314,
        1.2327,
        1.2211,
        1.22821,
        1.2271,
        1.23514,
        1.23925,
        1.23534,
        1.23404,
        1.23542,
        1.23161,
        1.2293,
        1.23778,
        1.23991,
        1.24371,
        1.23372,
        1.2363,
        1.23751,
        1.23664,
        1.23264,
        1.21418,
        1.23297,
        1.2327,
        1.23704,
        1.23015,
        1.22502,
        1.22785,
        1.23075,
        1.22885,
        1.23014,
        1.2319,
        1.22949,
        1.23161,
        1.23374,
        1.23261,
        1.23141,
        1.23102,
        1.23194,
        1.23323,
        1.2316,
        1.22822,
        1.22605,
        1.22875,
        1.23531,
        1.23802,
        1.23385,
        1.23577,
        1.23732,
        1.22869,
        1.2371,
        1.24148,
        1.23694,
        1.23153,
        1.22886,
        1.2298,
        1.23508,
        1.23988,
        1.23771,
        1.2348,
        1.23438,
        1.22971,
        1.23522,
        1.2295,
        1.23188,
        1.22752,
        1.22609,
        1.23364,
        1.23795,
        1.2322,
        1.22837,
        1.23385,
        1.23417,
        1.23461,
        1.23052,
        1.23451,
        1.2376,
        1.23514,
        1.2305,
        1.22886,
        1.22835,
        1.23118,
        1.23209,
        1.22732,
        1.23441,
        1.23481,
        1.23153,
        1.23825,
        1.23943,
        1.23576,
        1.23647,
        1.23543,
        1.23782,
        1.23648,
        1.23689,
        1.24235,
        1.23692,
        1.22864,
        1.23229,
        1.23865,
        1.23682,
        1.23537,
        1.23794,
        1.23447,
        1.23563,
        1.23857,
        1.2369,
        1.23373,
        1.23332,
        1.23031,
        1.22236,
        1.23224,
        1.24601,
        1.23717,
        1.23186,
        1.22898,
        1.22923,
        1.22951,
        1.22878,
        1.22984,
        1.23115,
        1.23139,
        1.23342,
        1.23222,
        1.23562,
        1.23105,
        1.22324,
        1.23023,
        1.23205,
        1.23436,
        1.22749,
        1.22674,
        1.23101,
        1.23113,
        1.22982,
        1.22804,
        1.22707,
        1.2331,
        1.22748,
        1.22687,
        1.22319,
        1.22641,
        1.23604,
        1.23642,
        1.23323,
        1.23466,
        1.23834,
        1.24071,
        1.2292,
        1.22703,
        1.22029,
        1.22053,
        1.21967,
        1.22284,
        1.22432,
        1.21857,
        1.2173,
        1.22121,
        1.21153,
        1.22916,
        1.22267,
        1.22214,
        1.23151,
        1.23999,
        1.22252,
        1.22221,
        1.22445,
        1.22632,
        1.22728,
        1.22411,
        1.2242,
        1.22529,
        1.22686,
        1.22093,
        1.22988,
        1.22928,
        1.23299,
        1.2301,
        1.22801,
        1.22818,
        1.22504,
        1.22452,
        1.22849,
        1.23748,
        1.23058,
        1.22931,
        1.21821,
        1.22631,
        1.22904,
        1.22795,
        1.22841,
        1.23037,
        1.23239,
        1.23349,
        1.23114,
        1.22773,
        1.23375,
        1.23258,
        1.23074,
        1.23873,
        1.21051,
        1.21326,
        1.22581,
        1.23062,
        1.23332,
        1.23203,
        1.22771,
        1.22533,
        1.22572,
        1.23144,
        1.23561,
        1.23544,
        1.23255,
        1.22651,
        1.21984,
        1.2339,
        1.23183,
        1.23061,
        1.23359,
        1.23059,
        1.22182,
        1.21982,
        1.22956,
        1.23871,
        1.24021,
        1.21902,
        1.21193,
        1.21675,
        1.22386,
        1.22932,
        1.23014,
        1.2273,
        1.22558,
        1.22706,
        1.22144,
        1.22691,
        1.22971,
        1.22302,
        1.23413,
        1.23534,
        1.23036,
        1.22839,
        1.22646,
        1.22526,
        1.23119,
        1.23769,
        1.23572,
        1.23784,
        1.24028,
        1.25335,
        1.27399,
        1.24944,
        1.24787,
        1.24383,
        1.23684,
        1.23346,
        1.24552,
        1.25449,
        1.23669,
        1.23199,
        1.23695,
        1.2448,
        1.23871,
        1.22927,
        1.22537,
        1.23849,
        1.25091,
        1.26482,
        1.3188,
        1.32582,
        1.2698,
        1.25582,
        1.29078,
        1.26145,
        1.25091,
        1.24426,
        1.24752,
        1.24293,
        1.23961,
        1.24099,
        1.24043,
        1.22776,
        1.23851,
        1.23505,
        1.23252,
        1.23426,
        1.23552,
        null,
        1.19533,
        1.19741,
        1.1995,
        1.19997,
        1.20671,
        1.21236,
        1.21203,
        1.20872,
        1.20239,
        1.20297,
        1.2014,
        1.19697,
        1.20577,
        1.20447,
        1.20565,
        1.21544,
        1.20872,
        1.20726,
        1.21023,
        1.21032,
        1.20873,
        1.20539,
        1.20432,
        1.20953,
        1.21039,
        1.21395,
        1.21149,
        1.20268,
        1.21205,
        1.20858,
        1.19572,
        1.19717,
        1.20121,
        1.2043,
        1.20451,
        1.19938,
        1.19539,
        1.19764,
        1.20064,
        1.20255,
        1.20473,
        1.19579,
        1.19638,
        1.20031,
        1.19245,
        1.20086,
        1.19862,
        1.19813,
        1.19965,
        1.2034,
        1.20559,
        1.20386,
        1.19811,
        1.1967,
        1.20406,
        1.20336,
        1.20192,
        1.19552,
        1.20007,
        1.19948,
        1.19726,
        1.20189,
        1.19848,
        1.20035,
        1.20234,
        1.20301,
        1.20523,
        1.20513,
        1.20305,
        1.20298,
        1.20157,
        1.20321,
        1.20007,
        1.20247,
        1.19856,
        1.1951,
        1.19875,
        1.20269,
        1.19852,
        1.20527,
        1.20681,
        1.20479,
        1.19933,
        1.19097,
        1.19412,
        1.20819,
        1.21079,
        1.20777,
        1.2023,
        1.2108,
        1.21729,
        1.21175,
        1.21254,
        1.2115,
        1.21435,
        1.20785,
        1.20858,
        1.212,
        1.20914,
        1.20372,
        1.20302,
        1.2049,
        1.20159,
        1.20636,
        1.20735,
        1.19456,
        1.19672,
        1.20371,
        1.20146,
        1.20521,
        1.20078,
        1.20736,
        1.21262,
        1.21096,
        1.20956,
        1.20534,
        1.20115,
        1.20355,
        1.19629,
        1.1983,
        1.204,
        1.20475,
        1.20246,
        1.20189,
        1.19972,
        1.19947,
        1.20153,
        1.20317,
        1.20323,
        1.20241,
        1.20538,
        1.20855,
        1.20926,
        1.21111,
        1.20815,
        1.20659,
        1.21231,
        1.21004,
        1.20805,
        1.21527,
        1.22168,
        1.21867,
        1.22834,
        1.23293,
        1.23127,
        1.22736,
        1.22835,
        1.24269,
        1.25539,
        1.2494,
        1.24783,
        1.2585,
        1.25931,
        1.25715,
        1.25018,
        1.23987,
        1.24587,
        1.23714,
        1.23372,
        1.23053,
        1.22977,
        1.22726,
        1.22894,
        1.22669,
        1.22575,
        1.2303,
        1.21937,
        1.21374,
        1.2077,
        1.19731,
        1.21263,
        1.20414,
        1.19855,
        1.21425,
        1.20895,
        1.21639,
        1.20131,
        1.20123,
        1.20955,
        1.2083,
        1.20298,
        1.19878,
        1.19927,
        1.18807,
        1.17927,
        1.19638,
        1.20048,
        1.19758,
        1.19356,
        1.19865,
        1.19806,
        1.19501,
        1.20575,
        1.2156,
        1.21457,
        1.20693,
        1.20026,
        1.20349,
        1.20803,
        1.2034,
        1.20063,
        1.20714,
        1.21269,
        1.21484,
        1.21297,
        1.19832,
        1.21113,
        1.21579,
        1.20832,
        1.2106,
        1.21245,
        1.21289,
        1.2198,
        1.22141,
        1.23206,
        1.24919,
        1.21456,
        1.21258,
        1.22953,
        1.23404,
        1.24503,
        1.2493,
        1.25298,
        1.256,
        1.26015,
        1.25866,
        1.25381,
        1.25329,
        1.25311,
        1.25295,
        1.25437,
        1.24242,
        1.24013,
        1.24234,
        1.24071,
        1.2252,
        1.22619,
        1.22673,
        1.23471,
        1.22923,
        1.23458,
        1.23347,
        1.23274,
        1.23784,
        1.23922,
        1.23598,
        1.23626,
        1.23539,
        1.22971,
        1.23539,
        1.23578,
        1.2329,
        1.22947,
        1.23372,
        1.22903,
        1.22672,
        1.22659,
        1.23008,
        1.21841,
        1.21702,
        1.21579,
        1.21489,
        1.21233,
        1.21103,
        1.21318,
        1.21269,
        1.21188,
        1.21279,
        1.21545,
        1.21054,
        1.21193,
        1.20675,
        1.2028,
        1.20082,
        1.20646,
        1.2033,
        1.20931,
        1.21627,
        1.21819,
        1.21518,
        1.20838,
        1.20644,
        1.2089,
        1.20787,
        1.208,
        1.2128,
        1.21467,
        1.21116,
        1.21198,
        1.22136,
        1.21357,
        1.21739,
        1.21149,
        1.21387,
        1.22241,
        1.22076,
        1.22197,
        1.22546,
        1.21815,
        1.22119,
        1.23478,
        1.23829,
        1.23808,
        1.24152,
        1.24248,
        1.24303,
        1.24963,
        1.24684,
        1.24022,
        1.24149,
        1.23957,
        1.23529,
        1.2287,
        1.22932,
        1.22735,
        1.22496,
        1.21566,
        1.21437,
        1.22153,
        1.22346,
        1.21772,
        1.21401,
        1.21794,
        1.21509,
        1.21927,
        1.21377,
        1.2007,
        1.21042,
        1.21376,
        1.20855,
        1.20855,
        1.20534,
        1.20186,
        1.20089,
        1.20297,
        1.20506,
        1.20253,
        1.20712,
        1.21461,
        1.21379,
        1.21139,
        1.21062,
        1.21701,
        1.21217,
        1.20737,
        1.20661,
        1.21214,
        1.21702,
        1.21954,
        1.21564,
        1.21191,
        1.21023,
        1.21412,
        1.2161,
        1.21501,
        1.20725,
        1.20113,
        1.19993,
        1.20014,
        1.20327,
        1.20641,
        1.20779,
        1.20685,
        1.20899,
        1.2029,
        1.20396,
        1.21077,
        1.20599,
        1.21189,
        1.20287,
        1.20603,
        1.21006,
        1.21109,
        1.21251,
        1.21526,
        1.21136,
        1.21086,
        1.21198,
        1.21069,
        1.21613,
        1.21393,
        1.21447,
        1.21107,
        1.21385,
        1.21725,
        1.2097,
        1.21116,
        1.21527,
        1.2175,
        1.21663,
        1.21625,
        1.2152,
        1.21833,
        1.21709,
        1.21746,
        1.21811,
        1.21367,
        1.21083,
        1.2153,
        1.21594,
        1.20648,
        1.2105,
        1.21243,
        1.2132,
        1.20841,
        1.20278,
        1.20157,
        1.21663,
        1.21259,
        1.20674,
        1.20686,
        1.20909,
        1.20821,
        1.20549,
        1.20626,
        1.20711,
        1.2055,
        1.20531,
        1.21416,
        1.2127,
        1.20641,
        1.21259,
        1.20974,
        1.20938,
        1.21096,
        1.21043,
        1.20798,
        1.21242,
        1.21168,
        1.21516,
        1.21935,
        1.22047,
        1.21881,
        1.21297,
        1.20868,
        1.20702,
        1.21143,
        1.21548,
        1.21382,
        1.216,
        1.22331,
        1.21187,
        1.22101,
        1.22627,
        1.22387,
        1.21842,
        1.21715,
        1.21057,
        1.2127,
        1.21677,
        1.2161,
        1.21952,
        1.21987,
        1.21632,
        1.21736,
        1.21068,
        1.20418,
        1.21163,
        1.21132,
        1.20867,
        1.20994,
        1.21167,
        1.21097,
        1.21967,
        1.22551,
        1.21536,
        1.21536,
        1.2154,
        1.21257,
        1.22326,
        1.23001,
        1.23216,
        1.23468,
        1.23219,
        1.23025,
        1.23366,
        1.2321,
        1.22622,
        1.22628,
        1.23667,
        1.23796,
        1.23076,
        1.23685,
        1.22857,
        1.23512,
        1.22565,
        1.21939,
        1.22104,
        1.21507,
        1.21353,
        1.21153,
        1.20917,
        1.20992,
        1.2094,
        1.20912,
        1.20959,
        1.20886,
        1.20543,
        1.20014,
        1.21453,
        1.21312,
        1.20873,
        1.20735,
        1.20639,
        1.21245,
        1.20825,
        1.2122,
        1.20735,
        1.21037,
        1.2057,
        1.2044,
        1.20957,
        1.21305,
        1.20996,
        1.213,
        1.22539,
        1.22519,
        1.2142,
        1.21515,
        1.21802,
        1.20329,
        1.17966,
        1.21105,
        1.20988,
        1.21579,
        1.21887,
        1.21172,
        1.22677,
        1.21913,
        1.22019,
        1.22207,
        1.2162,
        1.21849,
        1.21023,
        1.20688,
        1.20746,
        1.2134,
        1.21068,
        1.20749,
        1.21227,
        1.20852,
        1.20895,
        1.20701,
        1.20817,
        1.21543,
        1.2069,
        1.2121,
        1.22391,
        1.2089,
        1.20788,
        1.20018,
        1.20022,
        1.20116,
        1.19797,
        1.20875,
        1.21522,
        1.2103,
        1.21809,
        1.22192,
        1.22437,
        1.22789,
        1.22797,
        1.22741,
        1.22222,
        1.23092,
        1.19891,
        1.20227,
        1.20042,
        1.19089,
        1.19776,
        1.20414,
        1.19827,
        1.21753,
        1.20948,
        1.20646,
        1.20574,
        1.20821,
        1.20542,
        1.21091,
        1.2155,
        1.21167,
        1.20401,
        1.20191,
        1.20597,
        1.21053,
        1.20756,
        1.2026,
        1.20636,
        1.20465,
        1.20119,
        1.21997,
        1.22201,
        1.20064,
        1.20626,
        1.20207,
        1.21092,
        1.21286,
        1.20161,
        1.20058,
        1.21298,
        1.21889,
        1.21323,
        1.21654,
        1.22428,
        1.22915,
        1.21668,
        1.20562,
        1.21383,
        1.21642,
        1.20661,
        1.21774,
        1.23245,
        1.24693,
        1.23798,
        1.23405,
        1.22948,
        1.24081,
        1.23747,
        1.23539,
        1.2352,
        1.23002,
        1.22023,
        1.21758,
        1.21658,
        1.21382,
        1.21823,
        1.21934,
        1.21273,
        1.21183,
        1.21568,
        1.21746,
        1.20737,
        1.1885,
        1.1888,
        1.2089,
        1.21473,
        1.20929,
        1.21457,
        1.21597,
        1.21417,
        1.20827,
        1.20543,
        1.21564,
        1.21256,
        1.20321,
        1.20248,
        1.20416,
        1.205,
        1.21147,
        1.21392,
        1.2151,
        1.21308,
        1.20789,
        1.20661,
        1.20569,
        1.20627,
        1.21215,
        1.21559,
        1.21052,
        1.21248,
        1.22401,
        1.23074,
        1.22733,
        1.22949,
        1.23038,
        1.23086,
        1.23873,
        1.24367,
        1.27156,
        1.18815,
        1.18388,
        1.19146,
        1.21572,
        1.20865,
        1.19618,
        1.18766,
        1.19927,
        1.21453,
        1.21786,
        1.21477,
        1.20773,
        1.21588,
        1.22048,
        1.22128,
        1.21623,
        1.21866,
        1.2196,
        1.21681,
        1.21466,
        1.2219,
        1.23286,
        1.23526,
        1.23583,
        1.24186,
        1.24561,
        1.24361,
        1.24272,
        1.2383,
        1.24037,
        1.23886,
        1.2395,
        1.2453,
        1.24542,
        1.24168,
        1.2352,
        1.23965,
        1.23929,
        1.23703,
        1.23292,
        1.23377,
        1.23585,
        1.22621,
        1.21923,
        1.2182,
        1.21521,
        1.21845,
        1.21464,
        1.20974,
        1.2146,
        1.21692,
        1.21921,
        1.2221,
        1.21464,
        1.21586,
        1.21313,
        1.20961,
        1.21775,
        1.2153,
        1.21271,
        1.21311,
        1.21137,
        1.20833,
        1.21514,
        1.21097,
        1.19866,
        1.20127,
        1.21337,
        1.21266,
        1.21303,
        1.21313,
        1.21153,
        1.21819,
        1.21993,
        1.21162,
        1.20984,
        1.21314,
        1.21394,
        1.21817,
        1.22635,
        1.22614,
        1.23503,
        1.23393,
        1.23248,
        1.23058,
        1.22724,
        1.21471,
        1.22178,
        1.21491,
        1.22556,
        1.21454,
        1.20979,
        1.21244,
        1.21061,
        1.20946,
        1.20829,
        1.2091,
        1.21344,
        1.21755,
        1.21802,
        1.22448,
        1.22481,
        1.22369,
        1.23117,
        1.22709,
        1.21734,
        1.22431,
        1.22778,
        1.2189,
        1.21767,
        1.22056,
        1.21445,
        1.21891,
        1.2244,
        1.2225,
        1.21877,
        1.21949,
        1.2174,
        1.21954,
        1.22278,
        1.23434,
        1.24706,
        1.20633,
        1.21396,
        1.21489,
        1.21352,
        1.21288,
        1.20943,
        1.21692,
        1.21596,
        1.21279,
        1.22742,
        1.24019,
        1.2328,
        1.22854,
        1.2313,
        1.22622,
        1.2326,
        1.22559,
        1.23158,
        1.2341,
        1.22567,
        1.22179,
        1.22543,
        1.21586,
        1.21798,
        1.21535,
        1.21655,
        1.22047,
        1.22459,
        1.21779,
        1.21734,
        1.21368,
        1.21122,
        1.21495,
        1.2168,
        1.21438,
        1.21894,
        1.21984,
        1.21679,
        1.21965,
        1.21989,
        1.2233,
        1.22989,
        1.24271,
        1.24763,
        1.24589,
        1.22177,
        1.20586,
        1.21285,
        1.22435,
        1.22041,
        1.22243,
        1.2192,
        1.20376,
        1.20119,
        1.21494,
        1.21246,
        1.21405,
        1.21226,
        1.21628,
        1.20862,
        1.21031,
        1.21277,
        1.21643,
        1.21431,
        null,
        1.22805,
        1.2279,
        1.22539,
        1.21524,
        1.21321,
        1.21139,
        1.21732,
        1.21046,
        1.20989,
        1.21148,
        1.2085,
        1.20732,
        1.21712,
        1.21473,
        1.21138,
        1.21383,
        1.21493,
        1.21074,
        1.2073,
        1.213,
        1.21861,
        1.22405,
        1.24025,
        1.23313,
        1.22239,
        1.22133,
        1.2312,
        1.23488,
        1.2429,
        1.24475,
        1.23989,
        1.24295,
        1.24557,
        1.24193,
        1.24414,
        1.24777,
        1.24727,
        1.24388,
        1.24297,
        1.24497,
        1.24607,
        1.23983,
        1.2354,
        1.23233,
        1.23275,
        1.23883,
        1.23533,
        1.23515,
        1.24171,
        1.24902,
        1.23947,
        1.23945,
        1.23215,
        1.23121,
        1.22855,
        1.2275,
        1.21601,
        1.21594,
        1.20958,
        1.20708,
        1.21298,
        1.21708,
        1.20644,
        1.20238,
        1.19989,
        1.22811,
        1.20818,
        1.19581,
        1.21056,
        1.21184,
        1.20519,
        1.2126,
        1.19604,
        1.20314,
        1.20807,
        1.20744,
        1.20043,
        1.20019,
        1.20497,
        1.20555,
        1.20654,
        1.20103,
        1.20078,
        1.20443,
        1.20692,
        1.20861,
        1.21217,
        1.21716,
        1.21144,
        1.20517,
        1.20677,
        1.21326,
        1.21659,
        1.21288,
        1.21293,
        1.21841,
        1.22309,
        1.2282,
        1.2338,
        1.23767,
        1.23669,
        1.22709,
        1.21866,
        1.22295,
        1.22621,
        1.22565,
        1.22366,
        1.22021,
        1.22411,
        1.22223,
        1.21736,
        1.21021,
        1.21408,
        1.21124,
        1.20897,
        1.20571,
        1.21006,
        1.2166,
        1.21592,
        1.21301,
        1.2238,
        1.22888,
        1.22809,
        1.22228,
        1.21949,
        1.20465,
        1.20442,
        1.1983,
        1.20687,
        1.20318,
        1.20423,
        1.20896,
        1.20431,
        1.20091,
        1.21146,
        1.20447,
        1.20308,
        1.19546,
        1.17964,
        1.18749,
        1.20399,
        1.20555,
        1.21312,
        1.20696,
        1.2114,
        1.21368,
        1.21839,
        1.21678,
        1.22108,
        1.22379,
        1.2228,
        1.22157,
        1.21831,
        1.2161,
        1.20976,
        1.20198,
        1.20381,
        1.20736,
        1.21022,
        1.20587,
        1.20138,
        1.20551,
        1.20431,
        1.2006,
        1.19636,
        1.20087,
        1.20796,
        1.21656,
        1.21751,
        1.21934,
        1.21603,
        1.21393,
        1.20247,
        1.20202,
        1.20707,
        1.20943,
        1.21526,
        1.21419,
        1.2084,
        1.21457,
        1.21661,
        1.21502,
        1.21102,
        1.2181,
        1.20997,
        1.21514,
        1.20643,
        1.2104,
        1.20612,
        1.20705,
        1.20164,
        1.21114,
        1.21414,
        1.20244,
        1.20749,
        1.21557,
        1.21194,
        1.21675,
        1.22716,
        1.24091,
        1.23194,
        1.23221,
        1.22088,
        1.21733,
        1.21798,
        1.2105,
        1.2135,
        1.2243,
        1.22,
        1.22065,
        1.21553,
        1.21961,
        1.22257,
        1.23252,
        1.24048,
        1.26238,
        1.25935,
        1.2537,
        1.24856,
        1.25091,
        1.25129,
        1.24701,
        1.24509,
        1.24972,
        1.24232,
        1.23449,
        1.23864,
        1.24012,
        1.23465,
        1.22083,
        1.21436,
        1.21689,
        1.21725,
        1.21381,
        1.22162,
        1.21917,
        1.22288,
        1.2192,
        1.21713,
        1.21265,
        1.2119,
        1.21034,
        1.215,
        1.20912,
        1.2148,
        1.22301,
        1.22985,
        1.22175,
        1.22282,
        1.21235,
        1.21314,
        1.1996,
        1.20564,
        1.20573,
        1.21318,
        1.20897,
        1.22426,
        1.2186,
        1.21938,
        1.22102,
        1.2225,
        1.21491,
        1.22356,
        1.21885,
        1.22583,
        1.21419,
        1.22646,
        1.20984,
        1.21332,
        1.21209,
        1.22277,
        1.22069,
        1.21182,
        1.20492,
        1.21112,
        1.20579,
        1.21058,
        1.20488,
        1.21164,
        1.2072,
        1.20398,
        1.19328,
        1.19838,
        1.19491,
        1.20395,
        1.19735,
        1.2079,
        1.19272,
        1.1865,
        1.19725,
        1.19774,
        1.20435,
        1.21738,
        1.21752,
        1.20297,
        1.18142,
        1.18389,
        1.19154,
        1.20114,
        1.21261,
        1.22144,
        1.21291,
        1.20814,
        1.20629,
        1.20539,
        1.20592,
        1.20867,
        1.2037,
        1.20698,
        1.21397,
        1.21529,
        1.21591,
        1.22305,
        1.22993,
        1.23559,
        1.23652,
        1.2338,
        1.2184,
        1.20501,
        1.20855,
        1.20523,
        1.20095,
        1.20122,
        1.1933,
        1.19364,
        1.19991,
        1.18764,
        1.1797,
        1.18966,
        1.19437,
        1.17381,
        1.16976,
        1.1865,
        1.19109,
        1.19504,
        1.18325,
        1.18369,
        1.18752,
        1.19242,
        1.18131,
        1.18972,
        1.17438,
        1.18331,
        1.1826,
        1.17679,
        1.18329,
        1.20146,
        1.20641,
        1.21774,
        1.21976,
        1.23545,
        1.22262,
        1.23086,
        1.24191,
        1.23323,
        1.22779,
        1.23483,
        1.23226,
        1.24535,
        1.23319,
        1.23375,
        1.22752,
        1.2428,
        1.23688,
        1.23867,
        1.23342,
        1.25246,
        1.2341,
        1.24028,
        1.24662,
        1.25387,
        1.24662,
        1.24336,
        1.2354,
        1.24197,
        1.23555,
        1.23315,
        1.22862,
        1.23073,
        1.22299,
        1.23333,
        1.2381,
        1.23262,
        1.22066,
        1.22299,
        1.22171,
        1.22014,
        1.2063,
        1.21627,
        1.21558,
        1.22041,
        1.23255,
        1.23746,
        1.22228,
        1.21607,
        1.1963,
        1.19075,
        1.17337,
        1.23718,
        1.25805,
        1.13623,
        1.16988,
        1.16968,
        1.15919,
        1.16839,
        1.17897,
        1.19455,
        1.19388,
        1.18935,
        1.19179,
        1.19783,
        1.19614,
        1.19978,
        1.20218,
        1.19895,
        1.202,
        1.21405,
        1.21649,
        1.21931,
        1.22483,
        1.22464,
        1.21224,
        1.21347,
        1.21551,
        1.2077,
        1.20198,
        1.20554,
        1.21838,
        1.21154,
        1.20047,
        1.20549,
        1.21849,
        1.21573,
        1.20566,
        1.20483,
        1.19471,
        1.20437,
        1.22908,
        1.23324,
        1.24015,
        1.24891,
        1.24609,
        1.23337,
        1.2137,
        1.20769,
        1.21171,
        1.21262,
        1.19953,
        1.19006,
        1.19346,
        1.19808,
        1.20289,
        1.20705,
        1.20683,
        1.19756,
        1.20196,
        1.20453,
        1.18748,
        1.17578,
        1.18399,
        1.20269,
        1.20471,
        1.15513,
        1.17461,
        1.17254,
        1.17591,
        1.16863,
        1.18631,
        1.1772,
        1.18446,
        1.19727,
        1.20068,
        1.19405,
        1.18102,
        1.1851,
        1.19052,
        1.18746,
        1.17975,
        1.18967,
        1.1991,
        1.19425,
        1.19916,
        1.18103,
        1.17953,
        1.16986,
        1.17497,
        1.18273,
        1.19182,
        1.18691,
        1.18644,
        1.18662,
        1.18525,
        1.1845,
        1.18181,
        1.17788,
        1.18387,
        1.17357,
        1.18928,
        1.19544,
        1.20187,
        1.19528,
        1.20409,
        1.19599,
        1.20285,
        1.19186,
        1.20195,
        1.19783,
        1.19443,
        1.19535,
        1.19989,
        1.20046,
        1.20118,
        1.18986,
        1.18378,
        1.19616,
        1.20947,
        1.19759,
        1.21364,
        1.22201,
        1.22051,
        1.22363,
        1.23102,
        1.2223,
        1.22186,
        1.21226,
        1.21556,
        1.20193,
        1.21409,
        1.21455,
        1.21646,
        1.20633,
        1.21895,
        1.21865,
        1.22529,
        1.22765,
        1.24949,
        1.27281,
        1.279,
        1.275,
        1.2527,
        1.226,
        1.21704,
        1.21626,
        1.22432,
        1.20933,
        1.21731,
        1.20987,
        1.20823,
        1.2007,
        1.20651,
        1.19682,
        1.2086,
        1.20626,
        1.21516,
        1.1995,
        1.21334,
        1.20457,
        1.20341,
        1.20248,
        1.21449,
        1.20725,
        1.20367,
        1.17914,
        1.17665,
        1.18772,
        1.19921,
        1.19161,
        1.19109,
        1.18906,
        1.19721,
        1.20075,
        1.19551,
        1.19296,
        1.20979,
        1.20848,
        1.1929,
        1.20037,
        1.19032,
        1.20049,
        1.20622,
        1.20883,
        1.20443,
        1.20453,
        1.20466,
        1.19727,
        1.18736,
        1.19297,
        1.19114,
        1.18022,
        1.18311,
        1.1751,
        1.17285,
        1.1661,
        1.14884,
        1.17972,
        1.16282,
        1.15588,
        1.17273,
        1.17714,
        1.1757,
        1.18221,
        1.18594,
        1.188,
        1.17126,
        1.17758,
        1.19312,
        1.18716,
        1.16468,
        1.17462,
        1.18581,
        1.16917,
        1.16551,
        1.19601,
        1.19387,
        1.1897,
        1.18557,
        1.17834,
        1.19913,
        1.20083,
        1.21731,
        1.22034,
        1.21871,
        1.22992,
        1.22715,
        1.22349,
        1.22838,
        1.23604,
        1.24525,
        1.2435,
        1.24124,
        1.23488,
        1.23692,
        1.23409,
        1.2237,
        1.22122,
        1.22028,
        1.21834,
        1.21177,
        1.2101,
        1.20605,
        1.20547,
        1.21258,
        1.21698,
        1.20847,
        1.21704,
        1.21837,
        1.2082,
        1.20331,
        1.21282,
        1.21723,
        1.21451,
        1.21978,
        1.21712,
        1.20777,
        1.2074,
        1.21843,
        1.22288,
        1.22055,
        1.21801,
        1.2251,
        1.2135,
        1.21519,
        1.21628,
        1.21828,
        1.21687,
        1.21283,
        1.20159,
        1.21583,
        1.21518,
        1.20144,
        1.19446,
        1.20223,
        1.20015,
        1.2056,
        1.20116,
        1.21795,
        1.21637,
        1.24286,
        1.23081,
        1.28292,
        1.1643,
        1.16019,
        1.18819,
        1.16575,
        1.16596,
        1.17732,
        1.17676,
        1.18755,
        1.20489,
        1.19463,
        1.20545,
        1.19567,
        1.19475,
        1.1989,
        1.20191,
        1.20565,
        1.20965,
        1.20771,
        1.20555,
        1.21561,
        1.22423,
        1.22147,
        1.20938,
        1.19715,
        1.19951,
        1.2021,
        1.18732,
        1.18902,
        1.21229,
        1.17643,
        1.1648,
        1.15033,
        1.17048,
        1.16697,
        1.18441,
        1.17964,
        1.19624,
        1.18332,
        1.18546,
        1.18675,
        null,
        0.820522,
        0.827709,
        0.834896,
        0.842083,
        0.847431,
        0.849956,
        0.853856,
        0.862729,
        0.869928,
        0.870727,
        0.863586,
        0.855715,
        0.859327,
        0.860407,
        0.854156,
        0.856668,
        0.866209,
        0.853404,
        0.866071,
        0.867693,
        0.860032,
        0.850051,
        0.853069,
        0.858977,
        0.853033,
        0.844645,
        0.850262,
        0.854398,
        0.844746,
        0.846637,
        0.857838,
        0.850831,
        0.85588,
        0.856224,
        0.856717,
        0.859775,
        0.860553,
        0.836326,
        0.846164,
        0.86128,
        0.845139,
        0.842487,
        0.860114,
        0.86197,
        0.851193,
        0.851729,
        0.85457,
        0.85689,
        0.856265,
        0.852894,
        0.850832,
        0.853122,
        0.856883,
        0.857699,
        0.852887,
        0.846039,
        0.846736,
        0.849091,
        0.851124,
        0.851778,
        0.851273,
        0.849729,
        0.853569,
        0.859387,
        0.855401,
        0.845417,
        0.842611,
        0.84357,
        0.846983,
        0.856853,
        0.849031,
        0.856224,
        0.863382,
        0.853983,
        0.840725,
        0.84519,
        0.850987,
        0.851783,
        0.845182,
        0.853528,
        0.856567,
        0.855384,
        0.85178,
        0.848863,
        0.856874,
        0.853757,
        0.850549,
        0.853867,
        0.85652,
        0.842375,
        0.843444,
        0.850847,
        0.849579,
        0.837265,
        0.842139,
        0.846704,
        0.848405,
        0.850987,
        0.837579,
        0.846426,
        0.85028,
        0.842105,
        0.838294,
        0.849004,
        0.844835,
        0.835472,
        0.832473,
        0.849947,
        0.846499,
        0.848257,
        0.849571,
        0.841739,
        0.850125,
        0.847054,
        0.841647,
        0.845127,
        0.870483,
        0.847678,
        0.838397,
        0.8384,
        0.843609,
        0.849887,
        0.851142,
        0.845896,
        0.848075,
        0.861247,
        0.851501,
        0.866359,
        0.857908,
        0.842902,
        0.846205,
        0.843223,
        0.840846,
        0.839895,
        0.840878,
        0.843877,
        0.834336,
        0.837936,
        0.841214,
        0.840251,
        0.841857,
        0.837354,
        0.838627,
        0.843122,
        0.847137,
        0.844841,
        0.855658,
        0.851328,
        0.841013,
        0.839076,
        0.844231,
        0.840214,
        0.838782,
        0.840364,
        0.840567,
        0.840765,
        0.843707,
        0.841659,
        0.836707,
        0.841386,
        0.845557,
        0.839391,
        0.835296,
        0.839397,
        0.843294,
        0.83893,
        0.840666,
        0.844399,
        0.844404,
        0.840223,
        0.837298,
        0.837127,
        0.838677,
        0.84023,
        0.844605,
        0.836937,
        0.834649,
        0.841034,
        0.849387,
        0.83949,
        0.841117,
        0.84606,
        0.847343,
        0.839592,
        0.830745,
        0.831239,
        0.84141,
        0.855006,
        0.845255,
        0.847561,
        0.849573,
        0.849214,
        0.84737,
        0.850152,
        0.84827,
        0.851171,
        0.853842,
        0.844561,
        0.847554,
        0.836755,
        0.836326,
        0.845917,
        0.839598,
        0.835958,
        0.841617,
        0.845793,
        0.84287,
        0.838345,
        0.832161,
        0.837214,
        0.843068,
        0.840372,
        0.838003,
        0.831142,
        0.835638,
        0.843479,
        0.841108,
        0.838843,
        0.846804,
        0.851442,
        0.850011,
        0.845924,
        0.84514,
        0.842879,
        0.844444,
        0.847718,
        0.840388,
        0.84068,
        0.839469,
        0.839687,
        0.840659,
        0.830797,
        0.849633,
        0.845417,
        0.834457,
        0.83731,
        0.852577,
        0.849513,
        0.846282,
        0.845417,
        0.844702,
        0.840582,
        0.835074,
        0.837543,
        0.841279,
        0.829373,
        0.838559,
        0.847084,
        0.845011,
        0.836716,
        0.845168,
        0.839725,
        0.841693,
        0.844523,
        0.842212,
        0.831507,
        0.835816,
        0.841297,
        0.842265,
        0.836722,
        0.834797,
        0.839799,
        0.840264,
        0.842295,
        0.852252,
        0.839349,
        0.844924,
        0.848742,
        0.845347,
        0.83683,
        0.836261,
        0.834122,
        0.837903,
        0.844594,
        0.841465,
        0.841859,
        0.84515,
        0.844198,
        0.839544,
        0.845928,
        0.847834,
        0.85123,
        0.862498,
        0.876297,
        0.849429,
        0.850397,
        0.857751,
        0.860335,
        0.851861,
        0.844835,
        0.851434,
        0.859678,
        0.865804,
        0.868152,
        0.860637,
        0.853342,
        0.847559,
        0.843886,
        0.842404,
        0.839477,
        0.841058,
        0.839694,
        0.836956,
        0.845105,
        0.840432,
        0.834299,
        0.828948,
        0.827626,
        0.837008,
        0.838507,
        0.846232,
        0.854269,
        0.855429,
        0.840564,
        0.838487,
        0.842894,
        0.846019,
        0.842252,
        0.843941,
        0.842749,
        0.842608,
        0.848143,
        0.861719,
        0.851815,
        0.85072,
        0.85313,
        0.853443,
        0.845781,
        0.845861,
        0.84525,
        0.844385,
        0.842473,
        0.837452,
        0.839586,
        0.838535,
        0.84054,
        0.846212,
        0.84712,
        0.845058,
        0.850887,
        0.852366,
        0.844409,
        0.84891,
        0.845609,
        0.840761,
        0.842626,
        0.853267,
        0.839671,
        0.841091,
        0.842084,
        0.84061,
        0.838775,
        0.842755,
        0.847105,
        0.846694,
        0.84205,
        0.837021,
        0.844667,
        0.846253,
        0.844627,
        0.844227,
        0.851156,
        0.842781,
        0.835834,
        0.834691,
        0.840358,
        0.850595,
        0.839583,
        0.831617,
        0.831061,
        0.836011,
        0.834709,
        0.847992,
        0.849776,
        0.847333,
        0.846791,
        0.845269,
        0.841558,
        0.844902,
        0.846663,
        0.841218,
        0.847712,
        0.847286,
        0.837881,
        0.831025,
        0.83857,
        0.846094,
        0.847278,
        0.845682,
        0.845514,
        0.850878,
        0.854165,
        0.845325,
        0.840096,
        0.841012,
        0.843611,
        0.835089,
        0.834474,
        0.836371,
        0.839623,
        0.846437,
        0.845153,
        0.840416,
        0.835799,
        0.833199,
        0.832471,
        0.843003,
        0.844685,
        0.848806,
        0.856187,
        0.846234,
        0.853238,
        0.850659,
        0.848062,
        0.85182,
        0.850785,
        0.854192,
        0.852199,
        0.845756,
        0.840424,
        0.853117,
        0.850511,
        0.841932,
        0.841383,
        0.857281,
        0.853198,
        0.847915,
        0.8423,
        0.837861,
        0.836506,
        0.841254,
        0.849426,
        0.847583,
        0.84306,
        0.851919,
        0.858673,
        0.850469,
        0.85372,
        0.863078,
        0.828631,
        0.866856,
        0.858774,
        0.850935,
        0.851016,
        0.855082,
        0.844305,
        0.842927,
        0.848286,
        0.852598,
        0.85464,
        0.865533,
        0.850744,
        0.840172,
        0.834214,
        0.834735,
        0.854597,
        0.848183,
        0.828769,
        0.823061,
        0.845849,
        0.871827,
        0.84748,
        0.847633,
        0.85611,
        0.849297,
        0.842686,
        0.850392,
        0.860943,
        0.85962,
        0.838038,
        0.834411,
        0.831971,
        0.84821,
        0.865874,
        0.85533,
        0.841056,
        0.838472,
        0.842692,
        0.838741,
        0.856589,
        0.842695,
        0.840731,
        0.852894,
        0.853235,
        0.846404,
        0.84696,
        0.848705,
        0.846783,
        0.837251,
        0.852643,
        0.848248,
        0.840674,
        0.836886,
        0.833221,
        0.843454,
        0.84258,
        0.836583,
        0.834016,
        0.848063,
        0.843462,
        0.84695,
        0.848675,
        0.843982,
        0.840713,
        0.838454,
        0.838582,
        0.8419,
        0.845093,
        0.834289,
        0.844876,
        0.847477,
        0.847967,
        0.849735,
        0.837143,
        0.835011,
        0.842782,
        0.847175,
        0.840964,
        0.845868,
        0.839939,
        0.842655,
        0.845747,
        0.840318,
        0.835127,
        0.840092,
        0.843146,
        0.846776,
        0.852684,
        0.840224,
        0.833255,
        0.836473,
        0.841751,
        0.83978,
        0.839808,
        0.839163,
        0.83979,
        0.838456,
        0.832164,
        0.835734,
        0.832985,
        0.829608,
        0.832582,
        0.846467,
        0.843169,
        0.840905,
        0.835638,
        0.832034,
        0.837015,
        0.833345,
        0.832056,
        0.833691,
        0.839105,
        0.848321,
        0.84633,
        0.843262,
        0.839831,
        0.838743,
        0.843844,
        0.851583,
        0.850801,
        0.849374,
        0.84833,
        0.844206,
        0.833551,
        0.832102,
        0.841211,
        0.851238,
        0.844407,
        0.845713,
        0.835349,
        0.836505,
        0.847593,
        0.845109,
        0.850382,
        0.848816,
        0.82002,
        0.787645,
        0.820551,
        0.839679,
        0.854861,
        0.852228,
        0.839032,
        0.845335,
        0.845427,
        0.843228,
        0.842055,
        0.840033,
        0.829034,
        0.842125,
        0.843301,
        0.84036,
        0.837891,
        0.834633,
        0.8496,
        0.843282,
        0.837032,
        0.840002,
        0.842484,
        0.833885,
        0.829601,
        0.83576,
        0.848445,
        0.848358,
        0.843443,
        0.846473,
        0.8506,
        0.850027,
        0.84156,
        0.844795,
        0.845105,
        0.842749,
        0.840607,
        0.845577,
        0.842389,
        0.844792,
        0.849681,
        0.850973,
        0.838203,
        0.845963,
        0.844205,
        0.840949,
        0.842685,
        0.848811,
        0.842601,
        0.836149,
        0.83615,
        0.842015,
        0.839739,
        0.842419,
        0.84595,
        0.846782,
        0.842666,
        0.845129,
        0.844797,
        0.845168,
        0.846586,
        0.840247,
        0.847149,
        0.851985,
        0.848611,
        0.840557,
        0.851185,
        0.843554,
        0.845555,
        0.845604,
        0.841052,
        0.853045,
        0.848524,
        0.844276,
        0.843012,
        0.844539,
        0.844933,
        0.843537,
        0.834336,
        0.835258,
        0.848595,
        0.840978,
        0.836022,
        0.84766,
        0.853509,
        0.845326,
        0.846099,
        0.847524,
        0.850636,
        0.852085,
        0.852198,
        0.858518,
        0.853551,
        0.849721,
        0.851644,
        0.859957,
        0.869194,
        0.866213,
        0.863086,
        0.853136,
        0.842327,
        0.860004,
        0.879875,
        0.885918,
        0.878373,
        0.861964,
        0.847269,
        0.857654,
        0.845593,
        0.839454,
        0.847092,
        0.844321,
        0.85861,
        0.856427,
        0.849959,
        0.84458,
        0.834279,
        0.834013,
        0.839265,
        0.845868,
        0.849065,
        0.84338,
        0.839023,
        0.838209,
        0.842715,
        0.846962,
        0.83745,
        0.844487,
        0.840694,
        0.8341,
        0.834109,
        0.851233,
        0.838102,
        0.842463,
        0.848839,
        0.848752,
        0.84011,
        0.849725,
        0.86256,
        0.86834,
        0.873138,
        0.895622,
        0.883262,
        0.861001,
        0.851072,
        0.855024,
        0.858434,
        0.856933,
        0.853811,
        0.859025,
        0.865876,
        0.85808,
        0.84118,
        0.840302,
        0.842225,
        0.842371,
        0.840877,
        0.838298,
        0.843857,
        0.850982,
        0.853186,
        0.845556,
        0.845515,
        0.842003,
        0.845212,
        0.854929,
        0.863109,
        0.836759,
        0.84482,
        0.856466,
        0.86059,
        0.855201,
        0.855463,
        0.848366,
        0.838362,
        0.834116,
        0.84083,
        0.837885,
        0.849979,
        0.850936,
        0.845789,
        0.844339,
        0.840468,
        0.841137,
        0.843825,
        0.845818,
        0.844929,
        0.840659,
        0.84449,
        0.846606,
        0.847988,
        0.848453,
        0.838195,
        0.847807,
        0.848348,
        0.847827,
        0.851882,
        0.847946,
        0.844131,
        0.842031,
        0.844587,
        0.850561,
        0.850073,
        0.843649,
        0.846244,
        0.850266,
        0.847601,
        0.832116,
        0.83045,
        0.831207,
        0.836188,
        0.843511,
        0.845671,
        0.841857,
        0.837954,
        0.835683,
        0.83858,
        0.852037,
        0.845163,
        0.843628,
        0.847495,
        0.853232,
        0.853957,
        0.851928,
        0.846372,
        0.841726,
        0.839945,
        0.840811,
        0.831146,
        0.841747,
        0.844323,
        0.840008,
        0.843912,
        0.845145,
        0.84188,
        0.843018,
        0.844814,
        0.840779,
        0.850044,
        0.845156,
        0.851712,
        0.861061,
        0.857202,
        0.849599,
        0.835583,
        0.826102,
        0.834483,
        0.86394,
        0.875514,
        0.85363,
        0.848849,
        0.848853,
        0.83932,
        0.842332,
        0.854914,
        0.853852,
        0.849796,
        0.848765,
        0.836088,
        0.843902,
        0.844453,
        0.839791,
        0.836012,
        0.841374,
        0.834058,
        0.835217,
        0.846495,
        0.861056,
        0.862439,
        0.85015,
        0.853746,
        0.85656,
        0.8526,
        0.848638,
        0.858989,
        0.848858,
        0.838894,
        0.835657,
        0.835535,
        0.842159,
        0.847117,
        0.846002,
        0.843458,
        0.847937,
        0.84559,
        0.846439,
        0.844769,
        0.843429,
        0.846829,
        0.84564,
        0.847246,
        0.8438,
        0.84005,
        0.841438,
        0.841309,
        0.852116,
        0.854648,
        0.847139,
        0.837508,
        0.855057,
        0.849229,
        0.847246,
        0.850576,
        0.853805,
        0.843392,
        0.841244,
        0.829328,
        0.824825,
        0.837247,
        0.859824,
        0.856539,
        0.854007,
        0.854508,
        0.856059,
        0.852915,
        0.846165,
        0.844221,
        0.848134,
        0.851486,
        0.843536,
        0.840171,
        0.849874,
        0.847059,
        0.837687,
        0.840916,
        0.84266,
        0.850165,
        0.848845,
        0.846598,
        0.853865,
        0.849593,
        0.844796,
        0.840974,
        0.841046,
        0.84564,
        0.843656,
        0.842752,
        0.838521,
        0.837189,
        0.840854,
        0.837807,
        0.845722,
        0.84802,
        0.841931,
        0.833295,
        0.840223,
        0.847572,
        0.848611,
        0.849442,
        0.852398,
        0.854912,
        0.843843,
        0.8377,
        0.837942,
        0.843414,
        0.850435,
        0.846315,
        0.846491,
        0.847161,
        0.84389,
        0.834748,
        0.846891,
        0.849809,
        0.849858,
        0.849343,
        0.849061,
        0.848658,
        0.843595,
        0.8424,
        0.844834,
        0.84831,
        0.849752,
        0.849452,
        0.848063,
        0.845934,
        0.84453,
        0.847727,
        0.818883,
        0.887538,
        0.849813,
        0.842086,
        0.835557,
        0.838521,
        0.845459,
        0.839527,
        0.861246,
        0.845072,
        0.839516,
        0.845946,
        0.843773,
        0.850745,
        0.847582,
        0.844218,
        0.838703,
        0.828996,
        0.838381,
        0.846153,
        0.846715,
        0.843506,
        0.841276,
        0.843225,
        0.845704,
        0.845358,
        0.846266,
        0.84903,
        0.84519,
        0.847394,
        0.840203,
        0.836699,
        0.839121,
        0.836082,
        0.847315,
        0.862041,
        0.863253,
        0.850687,
        0.838193,
        0.840372,
        0.8519,
        0.850477,
        0.844986,
        0.852535,
        0.844764,
        0.842282,
        0.840178,
        0.839304,
        0.8409,
        0.841957,
        0.84144,
        0.841087,
        0.84239,
        0.845237,
        0.84574,
        0.831709,
        0.83463,
        0.840718,
        0.842639,
        0.84585,
        0.849687,
        0.849631,
        0.844036,
        0.840976,
        0.853801,
        0.84538,
        0.844841,
        0.847475,
        0.848836,
        0.84582,
        0.842844,
        0.847832,
        0.837659,
        0.829871,
        0.84271,
        0.847634,
        0.854983,
        0.850144,
        0.847754,
        0.852518,
        0.837398,
        0.846274,
        0.840536,
        0.841702,
        0.850127,
        0.833853,
        0.852875,
        0.849244,
        0.842603,
        0.842075,
        0.846886,
        0.839379,
        0.839319,
        0.838884,
        0.840375,
        0.847118,
        0.84235,
        0.852754,
        0.849506,
        0.843557,
        0.84609,
        0.838088,
        0.840906,
        0.837785,
        0.835964,
        0.840882,
        0.849668,
        0.844478,
        0.845475,
        0.845417,
        0.846283,
        0.858562,
        0.837518,
        0.834281,
        0.841997,
        0.852365,
        0.85635,
        0.84153,
        0.841293,
        0.845827,
        0.850836,
        0.853819,
        0.852859,
        0.849616,
        0.84777,
        0.846402,
        0.844004,
        0.839226,
        0.838636,
        0.838386,
        0.840448,
        0.843113,
        0.840462,
        0.848222,
        0.843004,
        0.839251,
        0.8401,
        0.842206,
        0.854103,
        0.848065,
        0.845493,
        0.84692,
        0.846238,
        0.839573,
        0.846285,
        0.849045,
        0.846736,
        0.841766,
        0.837784,
        0.838945,
        0.838956,
        0.838782,
        0.840525,
        0.846891,
        0.847085,
        0.84445,
        0.848264,
        0.854392,
        0.851523,
        0.848845,
        0.846338,
        0.841568,
        0.838308,
        0.840624,
        0.843809,
        0.845825,
        0.85712,
        0.856132,
        0.837073,
        0.839,
        0.851709,
        0.861033,
        0.860919,
        0.852986,
        0.847413,
        0.845202,
        0.84059,
        0.841708,
        0.851912,
        0.868083,
        0.851401,
        0.854996,
        0.849378,
        0.83943,
        0.838179,
        0.850854,
        0.848836,
        0.851336,
        0.853581,
        0.853459,
        0.860006,
        0.849312,
        0.842827,
        0.842492,
        0.84842,
        0.859181,
        0.860472,
        0.861037,
        0.864603,
        0.863853,
        0.851496,
        0.857963,
        0.8689,
        0.869027,
        0.857963,
        0.844333,
        0.851387,
        0.86134,
        0.861582,
        0.85526,
        0.850555,
        0.859964,
        0.843533,
        0.846184,
        0.851783,
        0.851028,
        0.842995,
        0.855052,
        0.858581,
        0.85278,
        0.845513,
        0.842848,
        0.829903,
        0.84586,
        0.850555,
        0.852426,
        0.859234,
        0.861863,
        0.858505,
        0.863207,
        0.867467,
        0.866534,
        0.860911,
        0.854663,
        0.850018,
        0.852341,
        0.857615,
        0.858622,
        0.857284,
        0.858871,
        0.860064,
        0.857783,
        0.853309,
        0.859191,
        0.869807,
        0.862005,
        0.853601,
        0.851257,
        0.844024,
        0.858451,
        0.852734,
        0.852539,
        0.860031,
        0.863249,
        0.857366,
        0.853848,
        0.852325,
        0.851959,
        0.851309,
        0.847458,
        0.855314,
        0.86474,
        0.865226,
        0.858749,
        0.864525,
        0.868038,
        0.864683,
        0.864448,
        0.86539,
        0.858756,
        0.855283,
        0.854501,
        0.84965,
        0.847365,
        0.854231,
        0.862703,
        0.852825,
        0.849554,
        0.852878,
        0.859131,
        0.863933,
        0.843134,
        0.843038,
        0.849772,
        0.852385,
        0.845116,
        0.846127,
        0.850602,
        0.852506,
        0.848878,
        0.842727,
        0.854516,
        0.850115,
        0.844563,
        0.84327,
        0.844819,
        0.838697,
        0.853741,
        null,
        0.87098,
        0.859166,
        0.847353,
        0.835539,
        0.837045,
        0.835505,
        0.831652,
        0.83112,
        0.839846,
        0.83406,
        0.820684,
        0.817955,
        0.823423,
        0.824466,
        0.832829,
        0.830381,
        0.830813,
        0.836894,
        0.843785,
        0.838957,
        0.837289,
        0.831805,
        0.828603,
        0.827759,
        0.827834,
        0.836106,
        0.823067,
        0.823693,
        0.829869,
        0.832648,
        0.830312,
        0.835401,
        0.837868,
        0.840142,
        0.838314,
        0.830366,
        0.827173,
        0.829554,
        0.835897,
        0.841781,
        0.841114,
        0.830254,
        0.837053,
        0.835601,
        0.836736,
        0.832404,
        0.820294,
        0.821219,
        0.839966,
        0.845095,
        0.841884,
        0.838596,
        0.839655,
        0.820177,
        0.817101,
        0.822021,
        0.829678,
        0.83425,
        0.829459,
        0.830944,
        0.830141,
        0.827184,
        0.829252,
        0.839933,
        0.836229,
        0.834479,
        0.834443,
        0.831645,
        0.826617,
        0.825638,
        0.836254,
        0.835433,
        0.83761,
        0.838385,
        0.833037,
        0.82923,
        0.844103,
        0.847859,
        0.84107,
        0.83354,
        0.837203,
        0.846013,
        0.838826,
        0.837191,
        0.836853,
        0.835095,
        0.838299,
        0.846348,
        0.838132,
        0.836964,
        0.837466,
        0.832209,
        0.852078,
        0.839723,
        0.837497,
        0.837743,
        0.835667,
        0.833465,
        0.828967,
        0.828839,
        0.827054,
        0.823721,
        0.823296,
        0.835462,
        0.837347,
        0.833988,
        0.835483,
        0.840361,
        0.840685,
        0.831428,
        0.832533,
        0.832158,
        0.837475,
        0.846367,
        0.8436,
        0.835006,
        0.836385,
        0.83918,
        0.836032,
        0.828416,
        0.83958,
        0.835302,
        0.828837,
        0.830449,
        0.836154,
        0.835608,
        0.843386,
        0.832384,
        0.825165,
        0.824409,
        0.827212,
        0.828429,
        0.827092,
        0.827841,
        0.840331,
        0.833342,
        0.827539,
        0.831475,
        0.83947,
        0.844096,
        0.841197,
        0.830507,
        0.835228,
        0.834665,
        0.831436,
        0.833742,
        0.830539,
        0.829347,
        0.834843,
        0.833256,
        0.82522,
        0.823811,
        0.826363,
        0.835893,
        0.834513,
        0.828921,
        0.827688,
        0.831947,
        0.815386,
        0.82098,
        0.822987,
        0.818572,
        0.815608,
        0.818454,
        0.829108,
        0.825841,
        0.823227,
        0.832083,
        0.851225,
        0.836654,
        0.847263,
        0.834745,
        0.82658,
        0.838624,
        0.836575,
        0.837721,
        0.837689,
        0.836254,
        0.836077,
        0.838261,
        0.834952,
        0.836523,
        0.842154,
        0.821745,
        0.790541,
        0.797309,
        0.837838,
        0.845225,
        0.840403,
        0.835917,
        0.836817,
        0.839523,
        0.846211,
        0.8413,
        0.835214,
        0.832128,
        0.833274,
        0.839563,
        0.845698,
        0.848997,
        0.849842,
        0.850874,
        0.853426,
        0.842114,
        0.834521,
        0.834129,
        0.827328,
        0.81666,
        0.826801,
        0.83743,
        0.84052,
        0.837489,
        0.834315,
        0.835913,
        0.840892,
        0.82854,
        0.826803,
        0.831014,
        0.834579,
        0.83367,
        0.839335,
        0.844692,
        0.839786,
        0.833898,
        0.832471,
        0.83342,
        0.830447,
        0.832299,
        0.831859,
        0.833177,
        0.836556,
        0.831005,
        0.837771,
        0.826781,
        0.830112,
        0.835882,
        0.826693,
        0.834176,
        0.822187,
        0.822454,
        0.825996,
        0.82958,
        0.835274,
        0.835616,
        0.825092,
        0.816903,
        0.815432,
        0.818589,
        0.81866,
        0.816673,
        0.819518,
        0.820617,
        0.823781,
        0.828873,
        0.820993,
        0.820199,
        0.819527,
        0.824674,
        0.833701,
        0.840253,
        0.838314,
        0.839249,
        0.837257,
        0.834658,
        0.832579,
        0.831449,
        0.839803,
        0.831957,
        0.828603,
        0.831613,
        0.833513,
        0.82163,
        0.833995,
        0.833827,
        0.836644,
        0.837796,
        0.832787,
        0.833083,
        0.834651,
        0.843398,
        0.8478,
        0.843858,
        0.8359,
        0.840278,
        0.835373,
        0.833263,
        0.839615,
        0.844342,
        0.831584,
        0.832739,
        0.846872,
        0.844744,
        0.833665,
        0.826011,
        0.830293,
        0.837383,
        0.830358,
        0.833524,
        0.839257,
        0.837903,
        0.838138,
        0.835362,
        0.829918,
        0.832119,
        0.836465,
        0.835503,
        0.842709,
        0.842019,
        0.829709,
        0.829136,
        0.840151,
        0.84417,
        0.838,
        0.840077,
        0.837209,
        0.838149,
        0.841184,
        0.832169,
        0.834204,
        0.835178,
        0.827228,
        0.82479,
        0.834125,
        0.837901,
        0.843076,
        0.844609,
        0.840247,
        0.83434,
        0.833259,
        0.841053,
        0.834194,
        0.834481,
        0.830712,
        0.825671,
        0.828557,
        0.840297,
        0.83729,
        0.840145,
        0.839663,
        0.835976,
        0.835951,
        0.824353,
        0.833293,
        0.842567,
        0.842491,
        0.836586,
        0.840105,
        0.850588,
        0.845595,
        0.836278,
        0.831092,
        0.833703,
        0.839935,
        0.837286,
        0.83558,
        0.839565,
        0.840447,
        0.834183,
        0.839605,
        0.831888,
        0.835438,
        0.835522,
        0.835472,
        0.842893,
        0.838631,
        0.840508,
        0.83437,
        0.831644,
        0.8336,
        0.832275,
        0.822447,
        0.821765,
        0.825913,
        0.831606,
        0.833113,
        0.825434,
        0.829876,
        0.835795,
        0.832308,
        0.823531,
        0.818827,
        0.828926,
        0.835638,
        0.841679,
        0.828301,
        0.814994,
        0.820265,
        0.833253,
        0.836567,
        0.836342,
        0.831067,
        0.830885,
        0.841028,
        0.841738,
        0.841522,
        0.846651,
        0.841267,
        0.832334,
        0.833676,
        0.82769,
        0.832366,
        0.841908,
        0.843911,
        0.83745,
        0.830032,
        0.817467,
        0.833792,
        0.835757,
        0.83525,
        0.836951,
        0.832427,
        0.837454,
        0.841606,
        0.837925,
        0.833065,
        0.833207,
        0.838338,
        0.829363,
        0.829443,
        0.832723,
        0.838471,
        0.841609,
        0.83007,
        0.834332,
        0.840432,
        0.842339,
        0.840933,
        0.839054,
        0.837962,
        0.83559,
        0.831813,
        0.830268,
        0.833422,
        0.840244,
        0.842624,
        0.842293,
        0.840954,
        0.839219,
        0.840214,
        0.843161,
        0.828655,
        0.831994,
        0.832531,
        0.833405,
        0.83316,
        0.829348,
        0.837181,
        0.835123,
        0.83618,
        0.835979,
        0.832777,
        0.829385,
        0.829157,
        0.836843,
        0.837486,
        0.833599,
        0.829759,
        0.828253,
        0.823301,
        0.833194,
        0.835873,
        0.837849,
        0.839471,
        0.82821,
        0.814385,
        0.825927,
        0.832971,
        0.831591,
        0.829715,
        0.840142,
        0.827038,
        0.826025,
        0.825547,
        0.827596,
        0.831333,
        0.821864,
        0.820495,
        0.835206,
        0.842945,
        0.843226,
        0.839526,
        0.850558,
        0.82783,
        0.831757,
        0.825101,
        0.828895,
        0.837832,
        0.835558,
        0.842337,
        0.835073,
        0.836539,
        0.831488,
        0.827191,
        0.839709,
        0.842143,
        0.841616,
        0.833658,
        0.835174,
        0.838919,
        0.827096,
        0.833679,
        0.833173,
        0.831781,
        0.832663,
        0.836273,
        0.839796,
        0.83545,
        0.844046,
        0.841818,
        0.837566,
        0.836579,
        0.834741,
        0.826876,
        0.83425,
        0.840382,
        0.841915,
        0.838424,
        0.830816,
        0.823214,
        0.832244,
        0.831676,
        0.825139,
        0.824249,
        0.838568,
        0.834071,
        0.82721,
        0.831506,
        0.834126,
        0.829569,
        0.828773,
        0.827625,
        0.838872,
        0.839524,
        0.83398,
        0.830416,
        0.832118,
        0.837769,
        0.836193,
        0.830593,
        0.828462,
        0.832654,
        0.836933,
        0.834805,
        0.834235,
        0.832725,
        0.834915,
        0.840395,
        0.837967,
        0.829137,
        0.828429,
        0.829494,
        0.832422,
        0.834539,
        0.827281,
        0.833908,
        0.829681,
        0.828324,
        0.826654,
        0.82368,
        0.830537,
        0.82644,
        0.833212,
        0.83642,
        0.836863,
        0.833683,
        0.814951,
        0.815382,
        0.826721,
        0.824577,
        0.823763,
        0.833878,
        0.830751,
        0.826156,
        0.834629,
        0.836547,
        0.835497,
        0.836086,
        0.829109,
        0.833708,
        0.832918,
        0.832152,
        0.830621,
        0.829031,
        0.834527,
        0.832832,
        0.825686,
        0.825136,
        0.833134,
        0.841226,
        0.831344,
        0.820853,
        0.830972,
        0.837205,
        0.829936,
        0.830242,
        0.832943,
        0.8264,
        0.833303,
        0.83281,
        0.839443,
        0.845671,
        0.842443,
        0.832884,
        0.846281,
        0.838392,
        0.835542,
        0.841048,
        0.847953,
        0.846364,
        0.844117,
        0.835843,
        0.822172,
        0.821713,
        0.839403,
        0.850615,
        0.840513,
        0.838511,
        0.830288,
        0.826773,
        0.833739,
        0.838704,
        0.842291,
        0.844286,
        0.831533,
        0.82627,
        0.837316,
        0.842777,
        0.843023,
        0.830229,
        0.828201,
        0.829273,
        0.829012,
        0.835844,
        0.836973,
        0.828286,
        0.829666,
        0.837508,
        0.84271,
        0.838304,
        0.827711,
        0.833903,
        0.835136,
        0.829728,
        0.823824,
        0.82609,
        0.831467,
        0.833811,
        0.83451,
        0.833911,
        0.834127,
        0.837216,
        0.834269,
        0.829162,
        0.83012,
        0.833723,
        0.838103,
        0.842504,
        0.833928,
        0.825785,
        0.83217,
        0.843465,
        0.84853,
        0.840267,
        0.8198,
        0.824759,
        0.832427,
        0.833862,
        0.831122,
        0.831249,
        0.833144,
        0.833038,
        0.824047,
        0.826102,
        0.832223,
        0.825942,
        0.824641,
        0.82909,
        0.835725,
        0.82648,
        0.819558,
        0.833222,
        0.826284,
        0.834651,
        0.836767,
        0.83845,
        0.839215,
        0.835892,
        0.827894,
        0.836975,
        0.829649,
        0.828175,
        0.835532,
        0.844708,
        0.847386,
        0.835271,
        0.839461,
        0.844452,
        0.845684,
        0.842424,
        0.83421,
        0.829187,
        0.836501,
        0.840576,
        0.837026,
        0.827666,
        0.819119,
        0.832666,
        0.840263,
        0.841015,
        0.838894,
        0.838461,
        0.841425,
        0.833741,
        0.839294,
        0.837834,
        0.83879,
        0.844088,
        0.843581,
        0.83413,
        0.822348,
        0.82799,
        0.834611,
        0.843437,
        0.862961,
        0.848199,
        0.838071,
        0.833773,
        0.836719,
        0.839968,
        0.835456,
        0.82971,
        0.826975,
        0.834527,
        0.839945,
        0.839638,
        0.836972,
        0.837031,
        0.839554,
        0.830777,
        0.831042,
        0.833287,
        0.828306,
        0.829412,
        0.83365,
        0.831172,
        0.828175,
        0.825598,
        0.821057,
        0.812217,
        0.835163,
        0.841012,
        0.840354,
        0.842691,
        0.844904,
        0.831292,
        0.810101,
        0.848001,
        0.833674,
        0.828072,
        0.829113,
        0.832797,
        0.833176,
        0.845384,
        0.838421,
        0.828585,
        0.82782,
        0.834494,
        0.838269,
        0.830022,
        0.839616,
        0.843724,
        0.837147,
        0.826963,
        0.825378,
        0.842063,
        0.829535,
        0.832147,
        0.832137,
        0.830743,
        0.83043,
        0.823967,
        0.831178,
        0.830553,
        0.83051,
        0.833457,
        0.83784,
        0.838846,
        0.827494,
        0.842673,
        0.843638,
        0.840192,
        0.840644,
        0.841228,
        0.835884,
        0.837733,
        0.838265,
        0.838798,
        0.839172,
        0.836738,
        0.826978,
        0.824097,
        0.829186,
        0.836455,
        0.840039,
        0.838686,
        0.840709,
        0.838962,
        0.839351,
        0.834464,
        0.834552,
        0.833485,
        0.827807,
        0.824033,
        0.82628,
        0.820508,
        0.824482,
        0.831522,
        0.834601,
        0.833504,
        0.839854,
        0.840812,
        0.835942,
        0.831291,
        0.830491,
        0.833656,
        0.838497,
        0.836474,
        0.835008,
        0.830705,
        0.830594,
        0.837157,
        0.833404,
        0.838545,
        0.827666,
        0.830014,
        0.830853,
        0.820784,
        0.820352,
        0.838866,
        0.835529,
        0.833237,
        0.835744,
        0.839963,
        0.840739,
        0.833764,
        0.841716,
        0.836261,
        0.82939,
        0.828681,
        0.832201,
        0.833565,
        0.831095,
        0.83103,
        0.829608,
        0.830188,
        0.835093,
        0.835712,
        0.845443,
        0.84677,
        0.836867,
        0.835462,
        0.84459,
        0.832208,
        0.840949,
        0.835769,
        0.83508,
        0.837344,
        0.837835,
        0.834502,
        0.832367,
        0.830484,
        0.833354,
        0.833897,
        0.833429,
        0.837428,
        0.842376,
        0.843306,
        0.85125,
        0.853569,
        0.852383,
        0.849885,
        0.833103,
        0.839779,
        0.842148,
        0.835094,
        0.830673,
        0.836922,
        0.847559,
        0.839323,
        0.834746,
        0.83391,
        0.834376,
        0.837265,
        0.843791,
        0.839128,
        0.833346,
        0.82849,
        0.833368,
        0.842071,
        0.844198,
        0.843913,
        0.842416,
        0.839774,
        0.831373,
        0.823884,
        0.825417,
        0.837154,
        0.848493,
        0.847793,
        0.845871,
        0.842196,
        0.838785,
        0.841078,
        0.844845,
        0.838585,
        0.843049,
        0.840107,
        0.837432,
        0.849333,
        0.841352,
        0.833121,
        0.844211,
        0.845251,
        0.839387,
        0.845216,
        0.873301,
        0.861218,
        0.857327,
        0.85639,
        0.850321,
        0.840683,
        0.837249,
        0.821929,
        0.824308,
        0.825777,
        0.834484,
        0.842586,
        0.836511,
        0.832275,
        0.846159,
        0.853508,
        0.848393,
        0.842074,
        0.843993,
        0.845282,
        0.848809,
        0.84047,
        0.83317,
        0.83057,
        0.834401,
        0.844639,
        0.844668,
        0.842904,
        0.837953,
        0.830927,
        0.828808,
        0.838926,
        0.857177,
        0.839657,
        0.824617,
        0.826663,
        0.836317,
        0.842221,
        0.850644,
        0.843613,
        0.836562,
        0.832503,
        0.834916,
        0.837784,
        0.831444,
        0.839651,
        0.84465,
        0.838807,
        0.834778,
        0.836855,
        0.840031,
        0.835041,
        0.840719,
        0.835963,
        0.840373,
        0.841723,
        0.834579,
        0.843713,
        0.845384,
        0.839823,
        0.839893,
        0.841695,
        0.838225,
        0.830172,
        0.846673,
        0.840927,
        0.841499,
        0.83945,
        0.838894,
        0.845779,
        0.848611,
        0.840437,
        0.830293,
        0.833912,
        0.837865,
        0.841222,
        0.835018,
        0.85352,
        0.846981,
        0.844106,
        0.841636,
        0.838617,
        0.838061,
        0.843795,
        0.843964,
        0.841823,
        0.846565,
        0.847944,
        0.841784,
        0.840153,
        0.848885,
        0.834305,
        0.83691,
        0.842149,
        0.838536,
        0.829937,
        0.840112,
        0.834883,
        0.847716,
        0.841025,
        0.826197,
        0.825496,
        0.839715,
        0.84329,
        0.831895,
        0.835936,
        0.835285,
        0.831014,
        0.841183,
        0.841344,
        0.843594,
        0.845875,
        0.856863,
        0.854777,
        0.833488,
        0.838274,
        0.839395,
        0.83679,
        0.838356,
        0.844266,
        0.848379,
        0.843965,
        0.838797,
        0.830303,
        0.836006,
        0.834117,
        0.829322,
        0.831866,
        0.828891,
        0.832004,
        0.846939,
        0.842956,
        0.835446,
        0.836208,
        0.843799,
        0.847216,
        0.855495,
        0.843692,
        0.84261,
        0.843949,
        0.839066,
        0.837276,
        0.849194,
        0.84505,
        0.845729,
        0.845134,
        0.845847,
        0.852083,
        0.851558,
        0.844342,
        0.827729,
        0.833954,
        0.847629,
        0.833008,
        0.838862,
        0.84448,
        0.829818,
        0.829948,
        0.842161,
        0.837381,
        0.838731,
        0.844262,
        0.843127,
        0.829672,
        0.828385,
        0.82196,
        0.831257,
        0.830082,
        0.823639,
        0.828447,
        0.828654,
        0.82583,
        0.808549,
        0.823471,
        0.836232,
        0.825486,
        0.815584,
        0.819877,
        0.815457,
        0.824413,
        0.830687,
        0.831928,
        0.836098,
        0.847013,
        0.842154,
        0.837825,
        0.835341,
        0.834166,
        0.839612,
        0.854573,
        0.83908,
        0.83571,
        0.828103,
        0.831828,
        0.838579,
        0.837815,
        0.841239,
        0.838713,
        0.836951,
        0.834049,
        0.834124,
        0.835478,
        0.832463,
        0.831247,
        0.829353,
        0.835385,
        0.83781,
        0.837492,
        0.838586,
        0.840117,
        0.848297,
        0.836657,
        0.83497,
        0.837662,
        null,
        0.819733,
        0.824645,
        0.829557,
        0.834469,
        0.833618,
        0.830525,
        0.828406,
        0.83161,
        0.842888,
        0.828404,
        0.840996,
        0.841505,
        0.846598,
        0.850491,
        0.846735,
        0.847034,
        0.832344,
        0.83434,
        0.83259,
        0.833146,
        0.835742,
        0.84009,
        0.848174,
        0.838605,
        0.830147,
        0.833842,
        0.8386,
        0.836884,
        0.828982,
        0.822847,
        0.830681,
        0.837237,
        0.833383,
        0.839285,
        0.845358,
        0.844968,
        0.848154,
        0.845159,
        0.839694,
        0.832473,
        0.834732,
        0.838888,
        0.839143,
        0.839366,
        0.838473,
        0.837655,
        0.837475,
        0.838267,
        0.83895,
        0.837479,
        0.833832,
        0.835494,
        0.832078,
        0.82843,
        0.827047,
        0.830275,
        0.830919,
        0.825144,
        0.840493,
        0.843616,
        0.827557,
        0.838036,
        0.858302,
        0.863788,
        0.851313,
        0.846447,
        0.845832,
        0.848938,
        0.845186,
        0.838708,
        0.842095,
        0.85554,
        0.849923,
        0.835084,
        0.835367,
        0.847006,
        0.855399,
        0.852883,
        0.846314,
        0.851609,
        0.845064,
        0.846767,
        0.842277,
        0.844185,
        0.850306,
        0.851106,
        0.844561,
        0.847705,
        0.851792,
        0.847473,
        0.83395,
        0.829587,
        0.840675,
        0.848209,
        0.84701,
        0.843579,
        0.838852,
        0.841546,
        0.843377,
        0.841141,
        0.841673,
        0.839281,
        0.842228,
        0.84705,
        0.844075,
        0.842249,
        0.837408,
        0.82527,
        0.848315,
        0.849293,
        0.849036,
        0.84064,
        0.841849,
        0.849412,
        0.85187,
        0.864632,
        0.860747,
        0.843566,
        0.84696,
        0.852808,
        0.852715,
        0.85079,
        0.848685,
        0.839214,
        0.837197,
        0.839073,
        0.837575,
        0.833531,
        0.841735,
        0.836737,
        0.843501,
        0.839036,
        0.829939,
        0.829055,
        0.842572,
        0.859742,
        0.849455,
        0.855945,
        0.85099,
        0.848494,
        0.844872,
        0.840296,
        0.840837,
        0.849766,
        0.843184,
        0.843761,
        0.836229,
        0.836029,
        0.837231,
        0.834934,
        0.845206,
        0.83672,
        0.842381,
        0.829804,
        0.826866,
        0.826337,
        0.827265,
        0.844391,
        0.836775,
        0.835198,
        0.838983,
        0.83833,
        0.838355,
        0.84066,
        0.8411,
        0.843222,
        0.830387,
        0.840098,
        0.835847,
        0.838526,
        0.847591,
        0.841119,
        0.813622,
        0.838168,
        0.826362,
        0.832092,
        0.830083,
        0.822839,
        0.825633,
        0.836613,
        0.830663,
        0.837463,
        0.835146,
        0.833213,
        0.831008,
        0.830524,
        0.839033,
        0.852837,
        0.847313,
        0.830204,
        0.835432,
        0.841207,
        0.84255,
        0.850435,
        0.847782,
        0.824693,
        0.836529,
        0.835132,
        0.828502,
        0.822391,
        0.818178,
        0.821226,
        0.828856,
        0.825727,
        0.833901,
        0.836141,
        0.834928,
        0.833381,
        0.828031,
        0.832708,
        0.826954,
        0.823508,
        0.834162,
        0.833624,
        0.824598,
        0.826517,
        0.819563,
        0.839756,
        0.832337,
        0.836527,
        0.835821,
        0.828992,
        0.827827,
        0.835401,
        0.831857,
        0.839475,
        0.833869,
        0.825972,
        0.828495,
        0.832553,
        0.818918,
        0.81751,
        0.826199,
        0.821687,
        0.823467,
        0.832659,
        0.837889,
        0.831347,
        0.825339,
        0.821601,
        0.837654,
        0.832852,
        0.827059,
        0.826173,
        0.823758,
        0.818446,
        0.826308,
        0.820387,
        0.813685,
        0.819307,
        0.820057,
        0.815048,
        0.822182,
        0.829016,
        0.830741,
        0.826519,
        0.821638,
        0.824366,
        0.826123,
        0.821656,
        0.829143,
        0.830564,
        0.828574,
        0.831359,
        0.830107,
        0.825908,
        0.825592,
        0.831123,
        0.826457,
        0.841344,
        0.84174,
        0.835427,
        0.834744,
        0.840232,
        0.842567,
        0.836077,
        0.842395,
        0.821704,
        0.836561,
        0.83724,
        0.828889,
        0.827819,
        0.82123,
        0.846733,
        0.834288,
        0.825216,
        0.827592,
        0.826886,
        0.820823,
        0.820051,
        0.820038,
        0.8267,
        0.822797,
        0.818709,
        0.825718,
        0.834901,
        0.835637,
        0.833916,
        0.837521,
        0.832158,
        0.835876,
        0.8371,
        0.835547,
        0.83498,
        0.835099,
        0.828019,
        0.832229,
        0.823353,
        0.821541,
        0.826683,
        0.828067,
        0.823654,
        0.827477,
        0.821649,
        0.821688,
        0.830793,
        0.834822,
        0.834307,
        0.833328,
        0.833744,
        0.838784,
        0.825995,
        0.814652,
        0.826896,
        0.830954,
        0.826352,
        0.824811,
        0.816217,
        0.815011,
        0.814589,
        0.824259,
        0.826378,
        0.831566,
        0.83901,
        0.831063,
        0.814752,
        0.842111,
        0.837009,
        0.832007,
        0.827457,
        0.822234,
        0.820181,
        0.826475,
        0.83512,
        0.821609,
        0.828225,
        0.829438,
        0.828912,
        0.832941,
        0.837373,
        0.837005,
        0.835901,
        0.83258,
        0.822765,
        0.822376,
        0.826814,
        0.825448,
        0.823277,
        0.828679,
        0.830084,
        0.829658,
        0.827686,
        0.826432,
        0.827994,
        0.831218,
        0.83125,
        0.845245,
        0.839695,
        0.85281,
        0.853652,
        0.835461,
        0.82504,
        0.844812,
        0.829633,
        0.824631,
        0.830387,
        0.832115,
        0.829565,
        0.8319,
        0.838549,
        0.828449,
        0.816117,
        0.827944,
        0.819828,
        0.82032,
        0.828762,
        0.831302,
        0.825038,
        0.822309,
        0.82026,
        0.822469,
        0.835287,
        0.835555,
        0.82498,
        0.818455,
        0.820459,
        0.837363,
        0.835951,
        0.839753,
        0.829339,
        0.821696,
        0.821373,
        0.819409,
        0.827359,
        0.838935,
        0.83659,
        0.842204,
        0.840558,
        0.830369,
        0.822437,
        0.824959,
        0.827521,
        0.833261,
        0.830032,
        0.835642,
        0.835096,
        0.833589,
        0.839911,
        0.834144,
        0.836401,
        0.824027,
        0.822244,
        0.820881,
        0.826091,
        0.833175,
        0.83163,
        0.837989,
        0.834486,
        0.834316,
        0.827646,
        0.830552,
        0.835503,
        0.831231,
        0.824686,
        0.828762,
        0.822674,
        0.818929,
        0.828832,
        0.830596,
        0.822645,
        0.818028,
        0.819632,
        0.842202,
        0.844827,
        0.8345,
        0.826944,
        0.829992,
        0.834242,
        0.828526,
        0.826095,
        0.83234,
        0.836855,
        0.839805,
        0.831366,
        0.827909,
        0.83509,
        0.833799,
        0.832091,
        0.835044,
        0.8267,
        0.829161,
        0.820853,
        0.82854,
        0.815618,
        0.834054,
        0.825469,
        0.822701,
        0.832783,
        0.839359,
        0.831964,
        0.832834,
        0.828706,
        0.829251,
        0.820687,
        0.824597,
        0.83048,
        0.828056,
        0.830193,
        0.830583,
        0.814048,
        0.824819,
        0.824946,
        0.82849,
        0.833813,
        0.8337,
        0.838991,
        0.829728,
        0.821666,
        0.829563,
        0.84491,
        0.84973,
        0.842577,
        0.833561,
        0.827522,
        0.855254,
        0.850838,
        0.843847,
        0.838808,
        0.837452,
        0.838432,
        0.838532,
        0.835946,
        0.825006,
        0.820083,
        0.827849,
        0.834063,
        0.834434,
        0.833176,
        0.834511,
        0.834316,
        0.832349,
        0.833333,
        0.84231,
        0.841638,
        0.830129,
        0.82127,
        0.824141,
        0.818998,
        0.83004,
        0.831164,
        0.824398,
        0.821169,
        0.828188,
        0.835591,
        0.827142,
        0.845592,
        0.822621,
        0.823214,
        0.830594,
        0.827422,
        0.825454,
        0.833319,
        0.822828,
        0.829642,
        0.833982,
        0.827173,
        0.829035,
        0.827285,
        0.820895,
        0.821066,
        0.82169,
        0.81798,
        0.818656,
        0.823888,
        0.818449,
        0.821424,
        0.833202,
        0.832393,
        0.824365,
        0.829688,
        0.829134,
        0.831049,
        0.830088,
        0.836729,
        0.844051,
        0.834011,
        0.829938,
        0.818622,
        0.828518,
        0.818002,
        0.81918,
        0.826711,
        0.821303,
        0.80668,
        0.815492,
        0.827878,
        0.838483,
        0.837566,
        0.832001,
        0.834432,
        0.829374,
        0.83265,
        0.828659,
        0.827412,
        0.838052,
        0.848043,
        0.843859,
        0.831871,
        0.831537,
        0.830184,
        0.830955,
        0.835757,
        0.827273,
        0.822752,
        0.832178,
        0.828511,
        0.820197,
        0.840372,
        0.819084,
        0.822235,
        0.82888,
        0.832952,
        0.842577,
        0.848679,
        0.832789,
        0.819833,
        0.825249,
        0.832868,
        0.832742,
        0.822249,
        0.812181,
        0.819404,
        0.826482,
        0.816947,
        0.813539,
        0.818629,
        0.824916,
        0.837545,
        0.839796,
        0.82885,
        0.834466,
        0.841039,
        0.856806,
        0.829982,
        0.827696,
        0.830982,
        0.826337,
        0.821971,
        0.827361,
        0.831721,
        0.815949,
        0.825401,
        0.834298,
        0.82465,
        0.828098,
        0.83244,
        0.821635,
        0.81969,
        0.831214,
        0.831132,
        0.822541,
        0.825674,
        0.832345,
        0.827829,
        0.813173,
        0.807472,
        0.815983,
        0.822244,
        0.835913,
        0.821759,
        0.820072,
        0.826351,
        0.825632,
        0.826738,
        0.820297,
        0.808762,
        0.81072,
        0.832705,
        0.825901,
        0.81228,
        0.816314,
        0.819753,
        0.819941,
        0.8087,
        0.804009,
        0.807899,
        0.816207,
        0.822503,
        0.825038,
        0.826948,
        0.827569,
        0.815406,
        0.830984,
        0.831231,
        0.826716,
        0.824518,
        0.826062,
        0.830946,
        0.836916,
        0.838415,
        0.825528,
        0.827897,
        0.831039,
        0.837247,
        0.839227,
        0.830409,
        0.833415,
        0.826078,
        0.820378,
        0.809444,
        0.821723,
        0.834108,
        0.833521,
        0.828747,
        0.826287,
        0.835789,
        0.840773,
        0.833435,
        0.833456,
        0.835916,
        0.835439,
        0.831336,
        0.824108,
        0.822857,
        0.846849,
        0.832648,
        0.822063,
        0.821579,
        0.821329,
        0.818812,
        0.821163,
        0.811684,
        0.836903,
        0.836822,
        0.837969,
        0.830102,
        0.823955,
        0.826029,
        0.824993,
        0.823732,
        0.832897,
        0.835333,
        0.832484,
        0.830452,
        0.822765,
        0.818546,
        0.829807,
        0.826825,
        0.831066,
        0.830187,
        0.814886,
        0.827929,
        0.84071,
        0.836415,
        0.83475,
        0.83206,
        0.830063,
        0.832275,
        0.832244,
        0.828047,
        0.822608,
        0.819573,
        0.829529,
        0.829068,
        0.823008,
        0.821782,
        0.821624,
        0.833509,
        0.827444,
        0.836332,
        0.836401,
        0.834306,
        0.829622,
        0.824235,
        0.823258,
        0.82154,
        0.816683,
        0.824936,
        0.831657,
        0.833892,
        0.831842,
        0.835008,
        0.839991,
        0.821052,
        0.828312,
        0.822992,
        0.822183,
        0.827319,
        0.831247,
        0.829578,
        0.827471,
        0.833672,
        0.83679,
        0.836184,
        0.824021,
        0.81948,
        0.816122,
        0.819255,
        0.837623,
        0.843703,
        0.844213,
        0.835412,
        0.816464,
        0.821161,
        0.835362,
        0.831645,
        0.838339,
        0.833332,
        0.834766,
        0.83383,
        0.82598,
        0.833653,
        0.83568,
        0.834811,
        0.840738,
        0.836882,
        0.838438,
        0.832298,
        0.829557,
        0.846501,
        0.826335,
        0.831446,
        0.834809,
        0.823833,
        0.821069,
        0.820667,
        0.816537,
        0.814638,
        0.821727,
        0.827393,
        0.831876,
        0.832859,
        0.820665,
        0.816369,
        0.825699,
        0.82955,
        0.81389,
        0.823852,
        0.819634,
        0.822501,
        0.820876,
        0.831096,
        0.831242,
        0.822002,
        0.82432,
        0.828221,
        0.832519,
        0.825754,
        0.824318,
        0.829213,
        0.831123,
        0.832193,
        0.830771,
        0.819511,
        0.827319,
        0.820464,
        0.830631,
        0.827017,
        0.834941,
        0.832406,
        0.820432,
        0.827366,
        0.831192,
        0.834034,
        0.830273,
        0.81578,
        0.812528,
        0.81799,
        0.825852,
        0.829438,
        0.822959,
        0.821434,
        0.818882,
        0.814825,
        0.814019,
        0.814836,
        0.814053,
        0.81359,
        0.818906,
        0.826961,
        0.805436,
        0.829439,
        0.831854,
        0.827613,
        0.815802,
        0.815567,
        0.831499,
        0.829449,
        0.822123,
        0.819926,
        0.815665,
        0.823144,
        0.825996,
        0.825551,
        0.829733,
        0.832912,
        0.818735,
        0.824507,
        0.827906,
        0.822298,
        0.821354,
        0.830735,
        0.834067,
        0.826704,
        0.828241,
        0.825232,
        0.82609,
        0.838149,
        0.832853,
        0.829199,
        0.826759,
        0.830341,
        0.843926,
        0.840023,
        0.822548,
        0.825918,
        0.824824,
        0.818296,
        0.818931,
        0.820553,
        0.821996,
        0.834535,
        0.837461,
        0.821568,
        0.824923,
        0.846091,
        0.83805,
        0.819263,
        0.81815,
        0.831112,
        0.83154,
        0.835673,
        0.821664,
        0.818268,
        0.819288,
        0.816844,
        0.819289,
        0.832728,
        0.845331,
        0.836748,
        0.830016,
        0.828366,
        0.819151,
        0.828538,
        0.831018,
        0.822489,
        0.826345,
        0.847867,
        0.830932,
        0.827237,
        0.831378,
        0.832224,
        0.825647,
        0.83484,
        0.8434,
        0.827909,
        0.825394,
        0.816959,
        0.838603,
        0.832356,
        0.828009,
        0.83965,
        0.839843,
        0.819041,
        0.80846,
        0.820183,
        0.82474,
        0.843966,
        0.880848,
        0.878085,
        0.85988,
        0.842811,
        0.830583,
        0.836579,
        0.845434,
        0.82356,
        0.823519,
        0.82934,
        0.825686,
        0.826752,
        0.830341,
        0.818095,
        0.831956,
        0.830361,
        0.845028,
        0.830228,
        0.817565,
        0.81394,
        0.812901,
        0.815979,
        0.828636,
        0.822686,
        0.848467,
        0.833336,
        0.831779,
        0.829973,
        0.829537,
        0.829015,
        0.824286,
        0.82591,
        0.840804,
        0.820947,
        0.819363,
        0.822038,
        0.825864,
        0.824686,
        0.820278,
        0.820723,
        0.826048,
        0.833965,
        0.829225,
        0.824017,
        0.824094,
        0.822739,
        0.819944,
        0.821876,
        0.827077,
        0.821488,
        0.846114,
        0.833024,
        0.834826,
        0.838572,
        0.830834,
        0.81897,
        0.817121,
        0.82638,
        0.835202,
        0.834458,
        0.831034,
        0.821212,
        0.816855,
        0.820839,
        0.827223,
        0.832388,
        0.836967,
        0.835867,
        0.855434,
        0.849131,
        0.831181,
        0.833683,
        0.835196,
        0.836581,
        0.844229,
        0.827893,
        0.821689,
        0.82872,
        0.827099,
        0.817479,
        0.802401,
        0.805236,
        0.823184,
        0.831463,
        0.825348,
        0.828458,
        0.823613,
        0.804219,
        0.809808,
        0.821883,
        0.823274,
        0.819483,
        0.820323,
        0.819682,
        0.830404,
        0.840257,
        0.82388,
        0.830523,
        0.838935,
        0.828754,
        0.811468,
        0.811721,
        0.828739,
        0.83521,
        0.807041,
        0.809713,
        0.796695,
        0.801871,
        0.812943,
        0.818033,
        0.820728,
        0.817333,
        0.82937,
        0.830897,
        0.830463,
        0.826217,
        0.828043,
        0.827267,
        0.825244,
        0.827487,
        0.824081,
        0.82558,
        0.813614,
        0.820143,
        0.823684,
        0.825949,
        0.831823,
        0.830126,
        0.820955,
        0.833137,
        0.845159,
        0.823439,
        0.823987,
        0.817017,
        0.821317,
        0.825001,
        0.823516,
        0.825333,
        0.828395,
        0.824339,
        0.837962,
        0.821772,
        0.816749,
        0.821993,
        0.817633,
        0.816419,
        0.824272,
        null,
        0.821344,
        0.807206,
        0.804119,
        0.805532,
        0.806649,
        0.804417,
        0.791317,
        0.799287,
        0.806344,
        0.802928,
        0.813975,
        0.807815,
        0.794675,
        0.801812,
        0.809271,
        0.796908,
        0.786522,
        0.791832,
        0.807525,
        0.786238,
        0.787563,
        0.80876,
        0.810593,
        0.80636,
        0.811388,
        0.809276,
        0.792723,
        0.798727,
        0.809758,
        0.804223,
        0.815358,
        0.821995,
        0.812432,
        0.807163,
        0.808651,
        0.805058,
        0.793228,
        0.792766,
        0.829822,
        0.812254,
        0.80453,
        0.806284,
        0.809683,
        0.810404,
        0.813136,
        0.809713,
        0.801194,
        0.803511,
        0.808402,
        0.811614,
        0.807809,
        0.816612,
        0.808993,
        0.792629,
        0.793021,
        0.799226,
        0.802016,
        0.807295,
        0.806292,
        0.804895,
        0.824439,
        0.820755,
        0.816266,
        0.815093,
        0.81492,
        0.812723,
        0.811771,
        0.813892,
        0.813775,
        0.811891,
        0.814388,
        0.801905,
        0.812502,
        0.811666,
        0.799787,
        0.811623,
        0.821004,
        0.815884,
        0.814371,
        0.814024,
        0.808854,
        0.8138,
        0.812572,
        0.813523,
        0.819469,
        0.810116,
        0.80656,
        0.808567,
        0.808926,
        0.808935,
        0.807767,
        0.805655,
        0.812353,
        0.808479,
        0.813092,
        0.816496,
        0.822341,
        0.807624,
        0.800528,
        0.799201,
        0.801914,
        0.805903,
        0.803915,
        0.818159,
        0.819766,
        0.792139,
        0.803416,
        0.81033,
        0.803658,
        0.800345,
        0.807448,
        0.808466,
        0.800181,
        0.807747,
        0.810105,
        0.818002,
        0.80463,
        0.809415,
        0.812309,
        0.808614,
        0.808713,
        0.805761,
        0.797838,
        0.799239,
        0.806777,
        0.80872,
        0.802216,
        0.816212,
        0.812195,
        0.825798,
        0.826716,
        0.812057,
        0.799467,
        0.797026,
        0.800727,
        0.807774,
        0.809752,
        0.813338,
        0.808617,
        0.819614,
        0.814596,
        0.799468,
        0.805168,
        0.821027,
        0.817529,
        0.805125,
        0.797278,
        0.827737,
        0.816013,
        0.798508,
        0.792597,
        0.803971,
        0.81256,
        0.81131,
        0.812513,
        0.816092,
        0.804283,
        0.805636,
        0.814502,
        0.824376,
        0.809916,
        0.804308,
        0.807271,
        0.810191,
        0.810051,
        0.810181,
        0.811774,
        0.808886,
        0.799877,
        0.809139,
        0.802139,
        0.813534,
        0.799631,
        0.801898,
        0.813339,
        0.816781,
        0.812983,
        0.815589,
        0.83554,
        0.809433,
        0.816526,
        0.824648,
        0.805171,
        0.810798,
        0.811913,
        0.806482,
        0.808193,
        0.814586,
        0.8126,
        0.802205,
        0.808664,
        0.807019,
        0.809503,
        0.803087,
        0.800606,
        0.810616,
        0.816121,
        0.813855,
        0.813417,
        0.810593,
        0.800997,
        0.809415,
        0.799863,
        0.805287,
        0.799184,
        0.801285,
        0.812664,
        0.810301,
        0.806466,
        0.809448,
        0.802129,
        0.810506,
        0.818403,
        0.799246,
        0.815509,
        0.813946,
        0.80034,
        0.793221,
        0.801115,
        0.809584,
        0.805124,
        0.799742,
        0.81201,
        0.807414,
        0.804679,
        0.806001,
        0.807599,
        0.811154,
        0.807607,
        0.803158,
        0.802659,
        0.804027,
        0.805507,
        0.806854,
        0.807878,
        0.799605,
        0.794956,
        0.802167,
        0.805009,
        0.815025,
        0.811898,
        0.804781,
        0.804454,
        0.802602,
        0.812894,
        0.816937,
        0.809827,
        0.812942,
        0.812097,
        0.806625,
        0.800132,
        0.803599,
        0.810446,
        0.806559,
        0.801479,
        0.816108,
        0.817639,
        0.809438,
        0.800761,
        0.803426,
        0.811806,
        0.808899,
        0.801532,
        0.800033,
        0.803049,
        0.807802,
        0.812626,
        0.799564,
        0.801426,
        0.77934,
        0.78471,
        0.77873,
        0.78341,
        0.789527,
        0.800923,
        0.810015,
        0.808662,
        0.808578,
        0.813592,
        0.816793,
        0.802788,
        0.810818,
        0.801356,
        0.811116,
        0.812289,
        0.807384,
        0.806224,
        0.806839,
        0.805985,
        0.807215,
        0.813789,
        0.807471,
        0.811069,
        0.811954,
        0.811345,
        0.817816,
        0.813658,
        0.807998,
        0.815929,
        0.821283,
        0.805635,
        0.808371,
        0.823301,
        0.811134,
        0.805468,
        0.807573,
        0.81106,
        0.820851,
        0.823008,
        0.819102,
        0.81805,
        0.815297,
        0.812089,
        0.81103,
        0.81658,
        0.80819,
        0.813686,
        0.809988,
        0.808554,
        0.813936,
        0.818653,
        0.822275,
        0.821652,
        0.810253,
        0.82345,
        0.82398,
        0.824589,
        0.826661,
        0.832411,
        0.826446,
        0.821008,
        0.811865,
        0.808322,
        0.810935,
        0.803059,
        0.804691,
        0.808148,
        0.811967,
        0.813774,
        0.81198,
        0.809115,
        0.81344,
        0.811501,
        0.812964,
        0.813516,
        0.805078,
        0.810071,
        0.816277,
        0.80809,
        0.816538,
        0.815872,
        0.819182,
        0.817678,
        0.814791,
        0.823098,
        0.827217,
        0.81999,
        0.818888,
        0.819679,
        0.812407,
        0.80636,
        0.806192,
        0.812702,
        0.810999,
        0.805827,
        0.800264,
        0.801273,
        0.815636,
        0.82488,
        0.81264,
        0.813639,
        0.807602,
        0.816109,
        0.821344,
        0.815767,
        0.817149,
        0.813265,
        0.809791,
        0.817227,
        0.823157,
        0.816915,
        0.813764,
        0.812042,
        0.816398,
        0.81596,
        0.815892,
        0.81904,
        0.812841,
        0.807183,
        0.805679,
        0.809415,
        0.815537,
        0.81944,
        0.815496,
        0.807094,
        0.807861,
        0.812304,
        0.816689,
        0.807164,
        0.811858,
        0.819287,
        0.823451,
        0.82175,
        0.818343,
        0.80915,
        0.809929,
        0.82758,
        0.821126,
        0.827373,
        0.820498,
        0.810716,
        0.819798,
        0.811859,
        0.817886,
        0.81571,
        0.812501,
        0.815245,
        0.818845,
        0.819597,
        0.813988,
        0.814981,
        0.815802,
        0.818841,
        0.812891,
        0.810703,
        0.824637,
        0.830405,
        0.82481,
        0.825461,
        0.825596,
        0.810241,
        0.80542,
        0.812947,
        0.80803,
        0.819796,
        0.81184,
        0.812559,
        0.813908,
        0.814821,
        0.818502,
        0.813177,
        0.801108,
        0.802286,
        0.812265,
        0.80783,
        0.808559,
        0.810641,
        0.810269,
        0.813449,
        0.824573,
        0.818136,
        0.811989,
        0.815256,
        0.818515,
        0.819407,
        0.819281,
        0.810545,
        0.805821,
        0.816978,
        0.818725,
        0.812274,
        0.82166,
        0.829659,
        0.827274,
        0.818674,
        0.809627,
        0.805716,
        0.81303,
        0.824669,
        0.814535,
        0.819512,
        0.811903,
        0.812412,
        0.815782,
        0.81755,
        0.822415,
        0.82423,
        0.814935,
        0.809668,
        0.81805,
        0.807212,
        0.807272,
        0.797656,
        0.810787,
        0.814881,
        0.809164,
        0.811125,
        0.812748,
        0.819803,
        0.799884,
        0.803653,
        0.824144,
        0.81709,
        0.808705,
        0.820873,
        0.807766,
        0.789826,
        0.784874,
        0.790944,
        0.797878,
        0.799694,
        0.800188,
        0.796145,
        0.809661,
        0.79726,
        0.792401,
        0.804781,
        0.812735,
        0.811796,
        0.811112,
        0.807082,
        0.810278,
        0.818806,
        0.813897,
        0.828208,
        0.81455,
        0.817011,
        0.813111,
        0.81919,
        0.814102,
        0.810193,
        0.813618,
        0.821241,
        0.818005,
        0.809916,
        0.811898,
        0.812428,
        0.821438,
        0.817629,
        0.821798,
        0.817113,
        0.823869,
        0.808283,
        0.7984,
        0.80304,
        0.815994,
        0.822029,
        0.821329,
        0.82263,
        0.814392,
        0.819194,
        0.814095,
        0.833542,
        0.821817,
        0.816358,
        0.816683,
        0.825245,
        0.825188,
        0.82054,
        0.805843,
        0.79636,
        0.819251,
        0.81817,
        0.825173,
        0.81229,
        0.807402,
        0.829129,
        0.821367,
        0.812416,
        0.806592,
        0.808295,
        0.813753,
        0.81565,
        0.812824,
        0.808829,
        0.808651,
        0.814372,
        0.833412,
        0.811986,
        0.81336,
        0.815939,
        0.822769,
        0.823023,
        0.816672,
        0.812352,
        0.811568,
        0.813023,
        0.817906,
        0.816967,
        0.818813,
        0.820923,
        0.814455,
        0.804514,
        0.803513,
        0.819675,
        0.807685,
        0.806111,
        0.813191,
        0.813839,
        0.819924,
        0.818705,
        0.815387,
        0.804627,
        0.822276,
        0.820422,
        0.814277,
        0.824092,
        0.818539,
        0.824306,
        0.824175,
        0.819861,
        0.818731,
        0.814435,
        0.814585,
        0.818003,
        0.822068,
        0.800671,
        0.808305,
        0.813361,
        0.814447,
        0.815302,
        0.814968,
        0.82308,
        0.827034,
        0.82354,
        0.821722,
        0.815677,
        0.820554,
        0.811401,
        0.811233,
        0.812956,
        0.80985,
        0.806936,
        0.802493,
        0.809151,
        0.809604,
        0.805339,
        0.806411,
        0.810008,
        0.810277,
        0.80913,
        0.811286,
        0.818915,
        0.815663,
        0.812324,
        0.820171,
        0.803157,
        0.799569,
        0.813368,
        0.804314,
        0.806356,
        0.817479,
        0.816364,
        0.813226,
        0.819305,
        0.816249,
        0.811685,
        0.828256,
        0.832987,
        0.818116,
        0.808363,
        0.81404,
        0.807333,
        0.816305,
        0.824185,
        0.821292,
        0.821369,
        0.826759,
        0.825805,
        0.823797,
        0.825113,
        0.799407,
        0.812409,
        0.808969,
        0.821669,
        0.817073,
        0.813852,
        0.809783,
        0.815912,
        0.821589,
        0.82349,
        0.820809,
        0.809272,
        0.815557,
        0.813909,
        0.816514,
        0.833003,
        0.830894,
        0.815926,
        0.808235,
        0.806533,
        0.816716,
        0.814177,
        0.822181,
        0.815443,
        0.803599,
        0.793539,
        0.804878,
        0.818647,
        0.826754,
        0.811003,
        0.806917,
        0.814999,
        0.813994,
        0.816518,
        0.817932,
        0.816104,
        0.807208,
        0.816122,
        0.810673,
        0.821501,
        0.817996,
        0.813708,
        0.814066,
        0.806812,
        0.80583,
        0.815222,
        0.82099,
        0.821159,
        0.815987,
        0.811575,
        0.824634,
        0.811306,
        0.800631,
        0.803163,
        0.816564,
        0.819911,
        0.812362,
        0.810443,
        0.815064,
        0.817564,
        0.814751,
        0.811986,
        0.817402,
        0.810616,
        0.795451,
        0.799467,
        0.798117,
        0.818654,
        0.821244,
        0.821437,
        0.814722,
        0.811247,
        0.811497,
        0.810432,
        0.807882,
        0.811307,
        0.828695,
        0.820483,
        0.820611,
        0.823363,
        0.810672,
        0.811159,
        0.826386,
        0.814498,
        0.818104,
        0.824715,
        0.81498,
        0.806415,
        0.817994,
        0.832536,
        0.824945,
        0.819259,
        0.811145,
        0.813634,
        0.819965,
        0.822887,
        0.824141,
        0.821876,
        0.823612,
        0.820875,
        0.820159,
        0.826774,
        0.832318,
        0.824554,
        0.808865,
        0.823983,
        0.826603,
        0.822144,
        0.837186,
        0.815936,
        0.829196,
        0.809557,
        0.810212,
        0.815241,
        0.818051,
        0.82323,
        0.823737,
        0.817137,
        0.818247,
        0.832745,
        0.814744,
        0.802874,
        0.802558,
        0.815265,
        0.801739,
        0.807249,
        0.811824,
        0.822658,
        0.815116,
        0.809073,
        0.816069,
        0.820737,
        0.823461,
        0.824077,
        0.831744,
        0.818197,
        0.821352,
        0.824045,
        0.820527,
        0.826312,
        0.822841,
        0.809783,
        0.800033,
        0.81446,
        0.8134,
        0.819011,
        0.821327,
        0.821077,
        0.817498,
        0.805532,
        0.818905,
        0.815479,
        0.814314,
        0.813368,
        0.840645,
        0.809801,
        0.815094,
        0.818323,
        0.820269,
        0.813581,
        0.816815,
        0.822165,
        0.820884,
        0.819918,
        0.818505,
        0.818574,
        0.823445,
        0.830798,
        0.820365,
        0.810917,
        0.821117,
        0.826045,
        0.83046,
        0.823255,
        0.833301,
        0.840426,
        0.830799,
        0.817185,
        0.809105,
        0.824139,
        0.813301,
        0.823613,
        0.828624,
        0.822909,
        0.817468,
        0.825682,
        0.820055,
        0.816558,
        0.82161,
        0.823135,
        0.8233,
        0.825767,
        0.822161,
        0.820913,
        0.83038,
        0.812108,
        0.815975,
        0.830184,
        0.824702,
        0.829647,
        0.828408,
        0.818263,
        0.82235,
        0.822341,
        0.825511,
        0.830941,
        0.830352,
        0.830425,
        0.828787,
        0.831949,
        0.828436,
        0.833736,
        0.826276,
        0.818169,
        0.833341,
        0.832558,
        0.82831,
        0.826527,
        0.83289,
        0.831253,
        0.827181,
        0.827161,
        0.826943,
        0.837639,
        0.85033,
        0.831614,
        0.820633,
        0.820557,
        0.845203,
        0.827471,
        0.816263,
        0.821952,
        0.8271,
        0.82568,
        0.827665,
        0.828126,
        0.820448,
        0.825106,
        0.825381,
        0.830448,
        0.825077,
        0.837843,
        0.826993,
        0.833161,
        0.84041,
        0.838573,
        0.826332,
        0.837976,
        0.831462,
        0.819448,
        0.819669,
        0.818749,
        0.821074,
        0.80867,
        0.823114,
        0.825128,
        0.82302,
        0.797147,
        0.825416,
        0.831873,
        0.824727,
        0.810348,
        0.817203,
        0.823795,
        0.819087,
        0.816556,
        0.81385,
        0.818608,
        0.830517,
        0.828105,
        0.827893,
        0.831672,
        0.831433,
        0.85081,
        0.816806,
        0.821275,
        0.835101,
        0.830943,
        0.820922,
        0.837348,
        0.830182,
        0.832059,
        0.838894,
        0.839516,
        0.836068,
        0.824459,
        0.831482
    ],
    "flux_error": [
        0.00878159,
        0.00726456,
        0.0067396,
        0.00610008,
        0.00631512,
        0.00699153,
        0.00724131,
        0.00691984,
        0.00682492,
        0.00694781,
        0.00517495,
        0.00548693,
        0.00593999,
        0.00609798,
        0.00585198,
        0.00521257,
        0.00451633,
        0.004272,
        0.00490357,
        0.00469816,
        0.00480543,
        0.00460097,
        0.00431947,
        0.00459145,
        0.00372889,
        0.00393778,
        0.00364351,
        0.00347634,
        0.00362104,
        0.00391505,
        0.00399368,
        0.00387252,
        0.00496703,
        0.00413507,
        0.00475473,
        0.00472326,
        0.00498763,
        0.00510441,
        0.00440506,
        0.00389247,
        0.00453707,
        0.0040444,
        0.0034037,
        0.00341537,
        0.00411604,
        0.00434187,
        0.00346471,
        0.0033211,
        0.00367904,
        0.00319837,
        0.00299825,
        0.00348091,
        0.0039044,
        0.00384422,
        0.003729,
        0.00400094,
        0.00384177,
        0.00384124,
        0.00350867,
        0.00342474,
        0.0037836,
        0.00419529,
        0.00410831,
        0.00380212,
        0.00408337,
        0.00366875,
        0.00386071,
        0.004389,
        0.00530455,
        0.00612409,
        0.00551736,
        0.0062449,
        0.00722457,
        0.00780071,
        0.00751511,
        0.0080702,
        0.00762651,
        0.00625818,
        0.00482805,
        0.00463299,
        0.00410506,
        0.00491453,
        0.00497385,
        0.0050472,
        0.00524543,
        0.00538927,
        0.00576904,
        0.0068043,
        0.00533767,
        0.00537214,
        0.00498357,
        0.00423471,
        0.00393501,
        0.00429113,
        0.00445873,
        0.00471909,
        0.00524905,
        0.00739683,
        0.00635861,
        0.00501603,
        0.00474616,
        0.00469529,
        0.00413515,
        0.00470906,
        0.00470138,
        0.00536046,
        0.00672276,
        0.00767038,
        0.00633445,
        0.00438088,
        0.00427968,
        0.00406758,
        0.00399052,
        0.00386518,
        0.00368487,
        0.00390276,
        0.00385979,
        0.00466724,
        0.00403528,
        0.0036366,
        0.00343439,
        0.00340775,
        0.00361752,
        0.00385476,
        0.0038661,
        0.00390833,
        0.00402635,
        0.00484921,
        0.00492922,
        0.00403236,
        0.00328331,
        0.00342598,
        0.0031217,
        0.00339457,
        0.00300531,
        0.00300527,
        0.00303063,
        0.00305418,
        0.00327724,
        0.00302008,
        0.00278604,
        0.00286437,
        0.00323013,
        0.00331937,
        0.00319324,
        0.00307114,
        0.0030519,
        0.00321748,
        0.00387748,
        0.00365358,
        0.00375132,
        0.00387151,
        0.00368065,
        0.00361979,
        0.00420049,
        0.00405981,
        0.00340217,
        0.00298934,
        0.00315965,
        0.00347792,
        0.00363757,
        0.00352865,
        0.00319193,
        0.00286302,
        0.00315743,
        0.00292628,
        0.00277627,
        0.00280643,
        0.00287954,
        0.0028902,
        0.0029443,
        0.00327152,
        0.00272418,
        0.00284483,
        0.00338813,
        0.00355411,
        0.003301,
        0.00333918,
        0.0042137,
        0.00462009,
        0.00415146,
        0.00405626,
        0.00372696,
        0.00350775,
        0.00392882,
        0.00475096,
        0.00485096,
        0.00439199,
        0.00436368,
        0.00427432,
        0.0038483,
        0.00377747,
        0.00356421,
        0.00289239,
        0.00327562,
        0.00360525,
        0.00559529,
        0.00687055,
        0.0068768,
        0.00572876,
        0.00441697,
        0.00378197,
        0.00355952,
        0.00444256,
        0.00367602,
        0.00429005,
        0.00478037,
        0.00480948,
        0.00533536,
        0.00455611,
        0.00414854,
        0.00427167,
        0.00401368,
        0.00327773,
        0.00293899,
        0.00323968,
        0.00395022,
        0.0038568,
        0.00368075,
        0.00376815,
        0.00377487,
        0.00355677,
        0.00330661,
        0.00295228,
        0.00333467,
        0.00302287,
        0.00335576,
        0.00345103,
        0.00340806,
        0.0037798,
        0.00434904,
        0.00363304,
        0.00402813,
        0.00346607,
        0.00315542,
        0.00319394,
        0.0030945,
        0.00273221,
        0.00253074,
        0.00271721,
        0.00334111,
        0.00384308,
        0.00349431,
        0.00341583,
        0.00344992,
        0.00361193,
        0.00454413,
        0.00588635,
        0.00555853,
        0.00523799,
        0.00526064,
        0.00528377,
        0.00517121,
        0.00502332,
        0.00477413,
        0.0037959,
        0.00324555,
        0.00325955,
        0.00326129,
        0.00304179,
        0.00279598,
        0.00269833,
        0.00271716,
        0.00280371,
        0.00248357,
        0.00252123,
        0.00280816,
        0.00262751,
        0.00263451,
        0.00287086,
        0.00252943,
        0.00249368,
        0.00247357,
        0.00265906,
        0.00283628,
        0.00291165,
        0.00266281,
        0.00245417,
        0.00285015,
        0.00306931,
        0.00299929,
        0.00314137,
        0.00291072,
        0.00229941,
        0.00218811,
        0.00270323,
        0.00307543,
        0.0034087,
        0.00296299,
        0.00304368,
        0.00281295,
        0.00261073,
        0.00249986,
        0.00261576,
        0.00296794,
        0.00280035,
        0.00306707,
        0.00344892,
        0.00332648,
        0.00288936,
        0.00275043,
        0.00297503,
        0.00303862,
        0.00276649,
        0.00278095,
        0.00258652,
        0.00311098,
        0.00337029,
        0.00355356,
        0.00424855,
        0.00528188,
        0.00546897,
        0.00655967,
        0.00481424,
        0.00379849,
        0.00347621,
        0.00329493,
        0.00296313,
        0.00271265,
        0.00307384,
        0.00395702,
        0.00480953,
        0.00406926,
        0.00384941,
        0.00351506,
        0.00293173,
        0.00289957,
        0.00313892,
        0.00281241,
        0.0026485,
        0.00276677,
        0.00290658,
        0.0029558,
        0.00302683,
        0.00321833,
        0.00334054,
        0.00316572,
        0.0029362,
        0.00381612,
        0.00441341,
        0.00428628,
        0.00384278,
        0.00365718,
        0.00376825,
        0.00323257,
        0.00347681,
        0.00339076,
        0.00291556,
        0.00242738,
        0.00243863,
        0.0027994,
        0.00267907,
        0.00275317,
        0.00258327,
        0.00262334,
        0.00269859,
        0.00269959,
        0.00281018,
        0.00303882,
        0.00307032,
        0.00313835,
        0.00319066,
        0.00306685,
        0.00294081,
        0.00305897,
        0.00294183,
        0.00240806,
        0.00216117,
        0.00269463,
        0.00260615,
        0.00236138,
        0.00254748,
        0.00303855,
        0.00314773,
        0.00296704,
        0.00326388,
        0.00351081,
        0.00284246,
        0.00263248,
        0.00286999,
        0.00278895,
        0.00258561,
        0.00256518,
        0.00254549,
        0.00229211,
        0.00292337,
        0.00311363,
        0.00300001,
        0.00270358,
        0.00275114,
        0.00304133,
        0.00297554,
        0.00257551,
        0.00291366,
        0.00247787,
        0.00294466,
        0.00321193,
        0.00299791,
        0.00279128,
        0.00287561,
        0.00267978,
        0.00274643,
        0.00244214,
        0.00265511,
        0.00276409,
        0.00288107,
        0.0028716,
        0.002711,
        0.00282846,
        0.00273504,
        0.0024556,
        0.00208354,
        0.00254652,
        0.00276592,
        0.00289014,
        0.00319436,
        0.00297679,
        0.00233305,
        0.00255297,
        0.00280284,
        0.00249038,
        0.0024241,
        0.00258488,
        0.00250997,
        0.00233763,
        0.00308548,
        0.00272182,
        0.0027821,
        0.00284596,
        0.00280135,
        0.00272251,
        0.00265801,
        0.00265716,
        0.002922,
        0.0030567,
        0.00287696,
        0.00277133,
        0.00255729,
        0.00231415,
        0.00238144,
        0.00271599,
        0.00261231,
        0.00312765,
        0.00259042,
        0.00279687,
        0.00268668,
        0.00261759,
        0.00259378,
        0.00245826,
        0.00253359,
        0.00263303,
        0.0027241,
        0.00291882,
        0.00306978,
        0.00325122,
        0.00327157,
        0.00322981,
        0.00350652,
        0.00351628,
        0.00363651,
        0.00394723,
        0.00410153,
        0.0036583,
        0.00296387,
        0.00274947,
        0.00305762,
        0.00264317,
        0.00261741,
        0.00289627,
        0.00265905,
        0.0027296,
        0.00284389,
        0.00283227,
        0.00288379,
        0.00293639,
        0.0032883,
        0.00352504,
        0.00361613,
        0.00372081,
        0.00356948,
        0.00333716,
        0.00330269,
        0.00326652,
        0.00296523,
        0.00324261,
        0.00296575,
        0.00275803,
        0.00288605,
        0.00295966,
        0.00322522,
        0.00314051,
        0.00274395,
        0.00287972,
        0.00280277,
        0.00331214,
        0.00287564,
        0.00284906,
        0.00294395,
        0.00303945,
        0.00305275,
        0.00308635,
        0.00336235,
        0.0028331,
        0.00293188,
        0.0031107,
        0.00304894,
        0.00320568,
        0.00349417,
        0.003586,
        0.00345874,
        0.00316833,
        0.00339919,
        0.00336417,
        0.00302799,
        0.00317607,
        0.00338229,
        0.00350407,
        0.00384751,
        0.00357268,
        0.00494935,
        0.00541847,
        0.00551609,
        0.00682742,
        0.00674682,
        0.0053529,
        0.00498188,
        0.00547846,
        0.00506509,
        0.00449893,
        0.00409933,
        0.00390976,
        0.00383828,
        0.00379794,
        0.00375658,
        0.0036296,
        0.0037989,
        0.00345135,
        0.00326513,
        0.0035051,
        0.00369638,
        0.0035287,
        0.00336316,
        0.00330403,
        0.00279417,
        0.00304205,
        0.00310139,
        0.00286226,
        0.0031124,
        0.00343594,
        0.00277775,
        0.00220192,
        0.00299655,
        0.00337297,
        0.00296503,
        0.00312318,
        0.00307657,
        0.00299104,
        0.00318675,
        0.00294075,
        0.00310876,
        0.00333336,
        0.00312695,
        0.00284557,
        0.00267896,
        0.00294192,
        0.00308459,
        0.00261475,
        0.00341942,
        0.00322378,
        0.00308093,
        0.00298508,
        0.0028728,
        0.00292087,
        0.00305312,
        0.00308654,
        0.00311565,
        0.00278208,
        0.00300882,
        0.00264659,
        0.00308382,
        0.00313097,
        0.00283561,
        0.00298053,
        0.00342067,
        0.00301171,
        0.00318272,
        0.00319367,
        0.0032771,
        0.00342913,
        0.00345219,
        0.00323592,
        0.00297962,
        0.003098,
        0.00335492,
        0.00404028,
        0.0039253,
        0.0037216,
        0.00411619,
        0.00458805,
        0.00468406,
        0.00481272,
        0.0042035,
        0.00504418,
        0.00626616,
        0.00622876,
        0.00627627,
        0.00437784,
        0.00420075,
        0.00416343,
        0.0043851,
        0.00390271,
        0.00376723,
        0.00375313,
        0.00405704,
        0.00403564,
        0.0036133,
        0.00342268,
        0.00345659,
        0.00342669,
        0.00356853,
        0.0038718,
        0.00403906,
        0.00381719,
        0.00353386,
        0.00340699,
        0.00320466,
        0.00329908,
        0.00268712,
        0.00244802,
        0.0025668,
        0.00273247,
        0.00302315,
        0.00309801,
        0.00269253,
        0.00272353,
        0.0030531,
        0.00287322,
        0.00286556,
        0.00308615,
        0.00299106,
        0.00269745,
        0.0026593,
        0.00294862,
        0.00309098,
        0.00266487,
        0.00282515,
        0.00296546,
        0.0027096,
        0.00255262,
        0.0027159,
        0.00285048,
        0.00274331,
        0.00303754,
        0.00307696,
        0.00279902,
        0.00258217,
        0.00288847,
        0.00303447,
        0.00286378,
        0.00307194,
        0.0031186,
        0.00292713,
        0.0022096,
        0.00206516,
        0.00228879,
        0.00259734,
        0.00281962,
        0.00295449,
        0.00304333,
        0.00281043,
        0.00256316,
        0.00258949,
        0.00252243,
        0.00233843,
        0.00241993,
        0.00252931,
        0.00240756,
        0.00295544,
        0.00285668,
        0.00197408,
        0.00262736,
        0.00275813,
        0.00276532,
        0.00268987,
        0.0025106,
        0.00261689,
        0.00265012,
        0.00240021,
        0.00272238,
        0.00240918,
        0.00246356,
        0.00259196,
        0.00246617,
        0.00240412,
        0.00275511,
        0.00233154,
        0.00287296,
        0.00289513,
        0.00320407,
        0.00295928,
        0.00249769,
        0.002454,
        0.00283663,
        0.00319169,
        0.00264619,
        0.00263413,
        0.00298735,
        0.00297622,
        0.00321026,
        0.00326537,
        0.00284488,
        0.00273953,
        0.00277472,
        0.00266145,
        0.00242829,
        0.00244549,
        0.00255457,
        0.00281234,
        0.00284101,
        0.00261257,
        0.00290663,
        0.00240565,
        0.0025137,
        0.00303253,
        0.00279906,
        0.00225647,
        0.00213756,
        0.0025294,
        0.00285179,
        0.00272401,
        0.00237279,
        0.0026765,
        0.00276088,
        0.00256772,
        0.00259034,
        0.0025795,
        0.00248552,
        0.00271277,
        0.00248026,
        0.00242185,
        0.00272511,
        0.0028281,
        0.00293344,
        0.0028927,
        0.00284893,
        0.00300571,
        0.0031514,
        0.00304905,
        0.00316825,
        0.00304642,
        0.00295496,
        0.00296648,
        0.00298019,
        0.00296957,
        0.00310572,
        0.00351805,
        0.00358041,
        0.00299996,
        0.00369244,
        0.0040592,
        0.00406454,
        0.00419898,
        0.00432482,
        0.00414788,
        0.00467888,
        0.00483127,
        0.00737479,
        0.00508977,
        0.00476141,
        0.00491585,
        0.00472936,
        0.00402802,
        0.00321507,
        0.00288228,
        0.00343157,
        0.00331399,
        0.00299515,
        0.00304801,
        0.00305246,
        0.00332938,
        0.00346456,
        0.00313883,
        0.00284608,
        0.00305458,
        0.00276302,
        0.00312125,
        0.00309994,
        0.00280842,
        0.00263019,
        0.00293255,
        0.00343633,
        0.00337624,
        0.00311148,
        0.00310823,
        0.00285166,
        0.00302234,
        0.00311722,
        0.00286666,
        0.00262577,
        0.0027559,
        0.00304957,
        0.00328894,
        0.00283079,
        0.00269857,
        0.00316133,
        0.00317357,
        0.00305612,
        0.0031142,
        0.00304195,
        0.00267198,
        0.00269454,
        0.00274233,
        0.00306319,
        0.00290824,
        0.00267026,
        0.00278663,
        0.00278913,
        0.00241724,
        0.00293268,
        0.00319388,
        0.00304315,
        0.00305041,
        0.00299969,
        0.00314903,
        0.00328498,
        0.00312428,
        0.00285605,
        0.00300716,
        0.00326628,
        0.00299165,
        0.00287463,
        0.00271061,
        0.00283339,
        0.00293205,
        0.00285689,
        0.00284521,
        0.00248417,
        0.00264252,
        0.00325538,
        0.00279925,
        0.00278185,
        0.00289018,
        0.00293879,
        0.00298229,
        0.00281664,
        0.00228934,
        0.00268492,
        0.00306362,
        0.00316026,
        0.00296475,
        0.00295204,
        0.00291368,
        0.00277898,
        0.00298798,
        0.002793,
        0.00237843,
        0.00289527,
        0.00276929,
        0.00296102,
        0.00332259,
        0.00343019,
        0.00333702,
        0.00336324,
        0.0032074,
        0.00337959,
        0.0031394,
        0.00340335,
        0.00347908,
        0.00317849,
        0.00305338,
        0.00329934,
        0.00320754,
        0.00282266,
        0.00313613,
        0.00268059,
        0.00286043,
        0.00299314,
        0.00286262,
        0.00253042,
        0.00239524,
        0.0028656,
        0.00286436,
        0.00252568,
        0.0026633,
        0.0030524,
        0.0028788,
        0.0027323,
        0.00287004,
        0.00297203,
        0.00292354,
        0.0024459,
        0.00250329,
        0.00279177,
        0.0028697,
        0.00287367,
        0.00294559,
        0.00295268,
        0.00292781,
        0.00314825,
        0.00272726,
        0.00238701,
        0.00261309,
        0.00277344,
        0.00280397,
        0.00282892,
        0.00286391,
        0.00290378,
        0.00296055,
        0.00256508,
        0.00268068,
        0.00317189,
        0.00287534,
        0.00261651,
        0.00260804,
        0.00267762,
        0.00270167,
        0.00276289,
        0.00310452,
        0.00284827,
        0.00295001,
        0.00275545,
        0.00286353,
        0.00281327,
        0.00272048,
        0.00288701,
        0.00275028,
        0.00269357,
        0.00312671,
        0.00294647,
        0.00279647,
        0.00294173,
        0.00287454,
        0.00268616,
        0.00268487,
        0.00261445,
        0.00294028,
        0.00286356,
        0.00311986,
        0.00295045,
        0.00294882,
        0.00286862,
        0.00284981,
        0.00293359,
        0.0026331,
        0.00278486,
        0.00326359,
        0.00290465,
        0.00269045,
        0.00283751,
        0.00300305,
        0.00304276,
        0.00309891,
        0.00311452,
        0.00250532,
        0.00261241,
        0.00271036,
        0.00258421,
        0.00266351,
        0.00268766,
        0.00267155,
        0.00280264,
        0.00292927,
        0.00277529,
        0.00300212,
        0.00280922,
        0.00272965,
        0.00287822,
        0.00291914,
        0.00284205,
        0.00290802,
        0.00310582,
        0.0029349,
        0.002826,
        0.00275641,
        0.0029213,
        0.00288305,
        0.00305133,
        0.0030164,
        0.00253466,
        0.00232483,
        0.0027371,
        0.00273504,
        0.00278808,
        0.00277175,
        0.00243273,
        0.00273058,
        0.00310148,
        0.00312783,
        0.00335228,
        0.00351368,
        0.00346158,
        0.00526739,
        0.00448126,
        0.00423757,
        0.00331067,
        0.00288681,
        0.00304552,
        0.00325757,
        0.00303212,
        0.00289326,
        0.0030648,
        0.00303114,
        0.0026725,
        0.00334831,
        0.00307031,
        0.00254664,
        0.00254429,
        0.00287859,
        0.00290473,
        0.00294686,
        0.00322213,
        0.0029456,
        0.00343952,
        0.00331888,
        0.00310222,
        0.00300253,
        0.0030294,
        0.00315486,
        0.00312421,
        null,
        0.00488603,
        0.00412588,
        0.00346697,
        0.00346324,
        0.00353235,
        0.00343642,
        0.00352102,
        0.00326555,
        0.00331323,
        0.00286076,
        0.00289191,
        0.0033109,
        0.00329929,
        0.00282269,
        0.00274541,
        0.00251021,
        0.00315711,
        0.00333204,
        0.00278402,
        0.00298216,
        0.00297975,
        0.00292865,
        0.00320609,
        0.00330461,
        0.00299265,
        0.00356991,
        0.00332981,
        0.00335909,
        0.00327238,
        0.00346572,
        0.00305154,
        0.00261363,
        0.00267729,
        0.00275335,
        0.00322433,
        0.00308798,
        0.00291152,
        0.00278041,
        0.00283732,
        0.00267414,
        0.00265414,
        0.00284196,
        0.00294122,
        0.00283427,
        0.00264101,
        0.00291962,
        0.00313022,
        0.00273099,
        0.00307252,
        0.00295671,
        0.00296278,
        0.00301649,
        0.00276521,
        0.00281466,
        0.00238768,
        0.00256493,
        0.00235484,
        0.00294444,
        0.0030774,
        0.0030231,
        0.00280631,
        0.00281193,
        0.00315523,
        0.00310609,
        0.00307047,
        0.00297889,
        0.00303812,
        0.00337162,
        0.00409331,
        0.0044258,
        0.00415356,
        0.00393502,
        0.00378568,
        0.00279395,
        0.00311635,
        0.00288895,
        0.00288293,
        0.00291596,
        0.00287436,
        0.00263499,
        0.00258039,
        0.00283752,
        0.0030193,
        0.00287125,
        0.00276099,
        0.00289499,
        0.00254605,
        0.00288378,
        0.00301511,
        0.00289757,
        0.00298801,
        0.00305433,
        0.00279564,
        0.00291823,
        0.00312168,
        0.00255372,
        0.00296384,
        0.00307221,
        0.00298603,
        0.0029234,
        0.00286976,
        0.00274602,
        0.00273823,
        0.00308595,
        0.00296911,
        0.00310208,
        0.00308366,
        0.00298308,
        0.00290986,
        0.00288344,
        0.00294794,
        0.00297964,
        0.00284123,
        0.00270679,
        0.0027028,
        0.00287883,
        0.00313623,
        0.00269851,
        0.00257021,
        0.00261792,
        0.00281892,
        0.00304084,
        0.00292681,
        0.00259544,
        0.00297923,
        0.00264234,
        0.00300787,
        0.0028229,
        0.00285052,
        0.00255787,
        0.00245472,
        0.00255856,
        0.0025806,
        0.00307311,
        0.00303269,
        0.00358334,
        0.00281023,
        0.00264444,
        0.00260334,
        0.00245042,
        0.00252563,
        0.00263174,
        0.00257138,
        0.00280328,
        0.0027608,
        0.00256917,
        0.00300362,
        0.00287826,
        0.00326698,
        0.0032404,
        0.00306627,
        0.00313942,
        0.00317406,
        0.0029035,
        0.00281353,
        0.00276953,
        0.0026119,
        0.0034944,
        0.00328697,
        0.00324289,
        0.00313078,
        0.0027778,
        0.00261252,
        0.00286299,
        0.003375,
        0.00311235,
        0.00280708,
        0.00328734,
        0.00308633,
        0.00323019,
        0.00414013,
        0.0041742,
        0.00327088,
        0.0030846,
        0.00260626,
        0.00323212,
        0.00300095,
        0.00308582,
        0.00338323,
        0.00337103,
        0.00339861,
        0.00328822,
        0.00298823,
        0.0027581,
        0.0024677,
        0.0026801,
        0.00316178,
        0.00287455,
        0.00268854,
        0.00262997,
        0.0027354,
        0.00267834,
        0.00265309,
        0.00274774,
        0.00237155,
        0.00240729,
        0.00271429,
        0.00227043,
        0.00226035,
        0.00256518,
        0.00268857,
        0.00286019,
        0.00283556,
        0.00254402,
        0.00263616,
        0.00284069,
        0.00288355,
        0.00271966,
        0.00291363,
        0.00268484,
        0.00273145,
        0.00300136,
        0.00296429,
        0.00269448,
        0.00260208,
        0.00239871,
        0.00264115,
        0.00313676,
        0.00277006,
        0.00291754,
        0.00283144,
        0.00276716,
        0.00285633,
        0.00281496,
        0.00268982,
        0.00284741,
        0.00242883,
        0.0025394,
        0.00266422,
        0.00280449,
        0.0028071,
        0.0027918,
        0.00292672,
        0.00296577,
        0.0027605,
        0.00272412,
        0.00316795,
        0.00339967,
        0.0030516,
        0.00237736,
        0.00217445,
        0.00228461,
        0.00245685,
        0.00270759,
        0.00274869,
        0.002496,
        0.00266542,
        0.00250391,
        0.00306987,
        0.00272063,
        0.00262601,
        0.00227829,
        0.00244366,
        0.00263017,
        0.0024813,
        0.00244794,
        0.00260842,
        0.00219424,
        0.0020965,
        0.00222665,
        0.00287922,
        0.00301828,
        0.00259236,
        0.00255945,
        0.0027449,
        0.00259887,
        0.00248972,
        0.00279296,
        0.00222923,
        0.00274393,
        0.00324522,
        0.00312103,
        0.00327674,
        0.00304402,
        0.00281588,
        0.00273361,
        0.00279431,
        0.00329316,
        0.00315849,
        0.00306719,
        0.00314906,
        0.00292663,
        0.00277421,
        0.00282248,
        0.00289145,
        0.00267614,
        0.00234454,
        0.00241057,
        0.0027842,
        0.00249248,
        0.00245853,
        0.0026075,
        0.00236428,
        0.00241915,
        0.00274588,
        0.00255208,
        0.00313867,
        0.00415767,
        0.00301183,
        0.00260803,
        0.00287978,
        0.00246101,
        0.0028459,
        0.00286869,
        0.00308148,
        0.00328461,
        0.00305649,
        0.00273033,
        0.00281971,
        0.0030001,
        0.00312423,
        0.00325829,
        0.00341985,
        0.00341137,
        0.00313959,
        0.00299932,
        0.00347492,
        0.00360093,
        0.0032432,
        0.00361662,
        0.0042528,
        0.00457792,
        0.00633822,
        0.00511233,
        0.00446937,
        0.00391463,
        0.00343358,
        0.00292145,
        0.00290744,
        0.00337514,
        0.00346085,
        0.0030644,
        0.0027601,
        0.00274523,
        0.00282312,
        0.00265834,
        0.00244671,
        0.00280732,
        0.00263012,
        0.00273096,
        0.0027766,
        0.00254867,
        0.00230846,
        0.00245184,
        0.00286157,
        0.00321201,
        0.00326109,
        0.00308806,
        0.00316361,
        0.00339005,
        0.00337113,
        0.00334808,
        0.00303856,
        0.00367302,
        0.00355384,
        0.00278721,
        0.00255371,
        0.00276455,
        0.00255712,
        0.00273611,
        0.00278502,
        0.00299675,
        0.00269716,
        0.00276514,
        0.00289588,
        0.00257429,
        0.00225285,
        0.00237735,
        0.00270219,
        0.0027834,
        0.00260819,
        0.00239226,
        0.00226585,
        0.00217611,
        0.00216356,
        0.00246375,
        0.00237954,
        0.00211504,
        0.00233759,
        0.00281953,
        0.00279963,
        0.00291332,
        0.00265201,
        0.00282259,
        0.00295785,
        0.00278949,
        0.00272164,
        0.00260889,
        0.00270808,
        0.00269818,
        0.00244602,
        0.00282929,
        0.00301557,
        0.00316735,
        0.00322983,
        0.0026279,
        0.00286812,
        0.00250881,
        0.00236035,
        0.00261746,
        0.0027214,
        0.00246934,
        0.00223165,
        0.00249614,
        0.00218817,
        0.00291658,
        0.00288261,
        0.00277723,
        0.00260421,
        0.00254798,
        0.00268901,
        0.0027979,
        0.00272932,
        0.00272667,
        0.00285253,
        0.00227914,
        0.00216002,
        0.0021608,
        0.00262456,
        0.00276179,
        0.00269959,
        0.00258917,
        0.0025817,
        0.00270288,
        0.00265467,
        0.00242734,
        0.00238436,
        0.00223482,
        0.00223526,
        0.00249357,
        0.0025794,
        0.00281597,
        0.00294326,
        0.00309536,
        0.00316097,
        0.00262291,
        0.00290081,
        0.00406345,
        0.00303324,
        0.0027453,
        0.00256483,
        0.00258887,
        0.00255974,
        0.00271518,
        0.00284165,
        0.00257656,
        0.00232505,
        0.0025459,
        0.00273152,
        0.00297774,
        0.0028303,
        0.00267306,
        0.0028113,
        0.00296344,
        0.00266076,
        0.00235981,
        0.00240592,
        0.00246296,
        0.00257217,
        0.00224648,
        0.00260997,
        0.00258104,
        0.00278101,
        0.00264488,
        0.00249851,
        0.00263585,
        0.0027863,
        0.0027345,
        0.00276945,
        0.00299788,
        0.00268046,
        0.00265168,
        0.00240178,
        0.00242269,
        0.00242078,
        0.00260735,
        0.00277451,
        0.00257133,
        0.00233968,
        0.00245266,
        0.00247089,
        0.00269927,
        0.00284812,
        0.00268931,
        0.00293802,
        0.00287528,
        0.00281868,
        0.00259464,
        0.00273027,
        0.00275644,
        0.00249409,
        0.00293741,
        0.00320654,
        0.00303195,
        0.00273428,
        0.00273036,
        0.00284556,
        0.00293367,
        0.00291105,
        0.00267094,
        0.00299627,
        0.00280125,
        0.00264638,
        0.00278219,
        0.00294508,
        0.00298053,
        0.00276048,
        0.00253034,
        0.00274182,
        0.00256528,
        0.00276041,
        0.00285325,
        0.00253458,
        0.00266048,
        0.00259284,
        0.00269892,
        0.00267835,
        0.00262365,
        0.00281104,
        0.00283965,
        0.00244128,
        0.00257404,
        0.00272568,
        0.00250899,
        0.00285863,
        0.00257554,
        0.00287619,
        0.00282287,
        0.00280551,
        0.00300983,
        0.00274389,
        0.00256877,
        0.00281928,
        0.00256706,
        0.0024531,
        0.00281178,
        0.00284261,
        0.00278781,
        0.00266454,
        0.00278427,
        0.00294112,
        0.00307281,
        0.00334707,
        0.00296857,
        0.0028327,
        0.0032229,
        0.00290691,
        0.00297746,
        0.00299043,
        0.00309047,
        0.00314513,
        0.0028062,
        0.00257122,
        0.0029197,
        0.00308366,
        0.00301888,
        0.00307609,
        0.00279308,
        0.00326472,
        0.00306698,
        0.00351275,
        0.00321272,
        0.00338249,
        0.00377477,
        0.00362154,
        0.00368982,
        0.00410126,
        0.00501314,
        0.00495152,
        0.00563239,
        0.00452138,
        0.00409908,
        0.00364668,
        0.00318801,
        0.00315631,
        0.00359997,
        0.00374704,
        0.00348281,
        0.00281435,
        0.00316465,
        0.00298632,
        0.00303154,
        0.00282101,
        0.00264945,
        0.00300158,
        0.00328949,
        0.00307076,
        0.0027064,
        0.00240869,
        0.00301465,
        0.00291542,
        0.00248852,
        0.00273021,
        0.00286417,
        0.00286141,
        0.00285174,
        0.00269655,
        0.00243595,
        0.00237789,
        0.00293949,
        0.00264839,
        0.00278079,
        0.00257603,
        0.00241961,
        0.00269758,
        0.00302666,
        0.00290851,
        0.00275785,
        0.00266571,
        0.0021567,
        0.0021655,
        0.0027637,
        0.0031523,
        0.00267215,
        0.00307902,
        0.00302719,
        0.00266293,
        0.00255848,
        0.00273341,
        0.00264368,
        0.00241666,
        0.00260951,
        0.00242818,
        0.0026233,
        0.00284664,
        0.00243828,
        0.00230449,
        0.00262731,
        0.00260882,
        0.00245457,
        0.00253677,
        0.00280282,
        0.0029709,
        0.00289544,
        0.00272164,
        0.00285292,
        0.00270714,
        0.00281618,
        0.00291558,
        0.00253299,
        0.00262472,
        0.00249602,
        0.00265879,
        0.00246745,
        0.00237015,
        0.00233228,
        0.00227363,
        0.00234031,
        0.0026991,
        0.00305989,
        0.00283613,
        0.00282248,
        0.00200864,
        0.00235389,
        0.00238699,
        0.00266045,
        0.00289013,
        0.00292528,
        0.00262798,
        0.00213185,
        0.00198642,
        0.00231677,
        0.0022869,
        0.00228794,
        0.00273788,
        0.00269671,
        0.00234148,
        0.00262332,
        0.00249098,
        0.00242426,
        0.00254336,
        0.00269515,
        0.002651,
        0.00241171,
        0.00253395,
        0.00259886,
        0.00236746,
        0.0023232,
        0.00251577,
        0.00213186,
        0.00214203,
        0.00248626,
        0.0025227,
        0.00256014,
        0.00287111,
        0.00318051,
        0.00387012,
        0.00509372,
        0.00443326,
        0.00398934,
        0.00370254,
        0.00299466,
        0.00285881,
        0.00307608,
        0.00287914,
        0.00293527,
        0.00271856,
        0.00284211,
        0.00222659,
        0.00227086,
        0.00262315,
        0.00263273,
        0.00265127,
        0.00274142,
        0.00252617,
        0.00240595,
        0.00243499,
        0.00223439,
        0.00313987,
        0.00271047,
        0.00246944,
        0.00252925,
        0.00231452,
        0.00230019,
        0.00235042,
        0.00266508,
        0.00240656,
        0.00277724,
        0.00238345,
        0.00235348,
        0.00244164,
        0.00265102,
        0.00286907,
        0.00218708,
        0.0023951,
        0.00229985,
        0.00213941,
        0.00248563,
        0.00245735,
        0.00266835,
        0.00261238,
        0.0026341,
        0.00271568,
        0.00287374,
        0.00269109,
        0.00236112,
        0.00302634,
        0.00250687,
        0.00247005,
        0.00243984,
        0.00263586,
        0.00240951,
        0.00233829,
        0.00255348,
        0.0025603,
        0.00243234,
        0.00242176,
        0.00272798,
        0.0032219,
        0.00295412,
        0.0024784,
        0.00261382,
        0.00228678,
        0.00227388,
        0.00245004,
        0.00253412,
        0.00251779,
        0.00253405,
        0.00264685,
        0.00251843,
        0.00221958,
        0.00257959,
        0.00313953,
        0.00258119,
        0.00226532,
        0.00238086,
        0.00275584,
        0.00254812,
        0.00286134,
        0.00280986,
        0.00279777,
        0.00289538,
        0.00290918,
        0.00312469,
        0.00301832,
        0.00273881,
        0.00301658,
        0.0026056,
        0.00285862,
        0.00251754,
        0.0026878,
        0.00273792,
        0.00256284,
        0.00244426,
        0.00272948,
        0.00316856,
        0.00317819,
        0.00312986,
        0.00320006,
        0.00260171,
        0.00276834,
        0.00311845,
        0.00261241,
        0.00264497,
        0.00269051,
        0.00244648,
        0.00222656,
        0.00228656,
        0.00228802,
        0.00212111,
        0.0026875,
        0.0026459,
        0.00264325,
        0.00271725,
        0.00275922,
        0.00252524,
        0.00261094,
        0.00223403,
        0.00232621,
        0.00260198,
        0.00268109,
        0.00277832,
        0.00255598,
        0.00257874,
        0.00266809,
        0.00237949,
        0.0026048,
        0.00280585,
        0.00259242,
        0.00244881,
        0.00272202,
        0.00272892,
        0.00275418,
        0.00288219,
        0.00285186,
        0.0030643,
        0.00277219,
        0.00306051,
        0.00257239,
        0.00304515,
        0.00291464,
        0.0031963,
        0.00333622,
        0.0034683,
        0.00331903,
        0.00332266,
        0.00366126,
        0.00418557,
        0.00433364,
        0.0037397,
        0.0035745,
        0.00333609,
        0.0030703,
        0.00296396,
        0.00317946,
        0.00331017,
        0.00320462,
        0.00351291,
        0.0039981,
        0.00433764,
        0.00430987,
        0.00495593,
        0.00526123,
        0.00519404,
        0.00399137,
        0.00341319,
        0.00373756,
        0.00502252,
        0.00402764,
        0.00458029,
        0.00452241,
        0.00517432,
        0.00580875,
        0.005794,
        0.004761,
        0.00388012,
        0.00422223,
        0.00370763,
        0.00340646,
        0.00351767,
        0.00327026,
        0.00348355,
        0.00375311,
        0.00326443,
        0.00296006,
        0.00294936,
        0.00301181,
        0.00342508,
        0.00322299,
        0.00291254,
        0.0030857,
        0.00293539,
        0.00291037,
        0.00336112,
        0.00346538,
        0.00322949,
        0.00304831,
        0.00318362,
        0.00279974,
        0.00279786,
        0.00298458,
        0.00335304,
        0.00314452,
        0.00274505,
        0.00262201,
        0.00274257,
        0.00319102,
        0.00340005,
        0.00307093,
        0.003236,
        0.00278028,
        0.00298745,
        0.00321375,
        0.00309705,
        0.00319097,
        0.00313959,
        0.00305928,
        0.0033132,
        0.00338542,
        0.00363864,
        0.00384672,
        0.00371951,
        0.00430854,
        0.00528045,
        0.00457074,
        0.00872555,
        0.00838182,
        0.00857293,
        0.007689,
        0.00636994,
        0.00595747,
        0.00543083,
        0.00436159,
        0.00373657,
        0.00416345,
        0.00384983,
        0.00357453,
        0.00328201,
        0.00312756,
        0.00274171,
        0.00272836,
        0.00286462,
        0.00299875,
        0.00291527,
        0.00257792,
        0.00285266,
        0.00304663,
        0.00295287,
        0.00320344,
        0.00401937,
        0.00530327,
        0.00463186,
        0.0038919,
        0.00387216,
        0.00381366,
        0.00371424,
        0.00371078,
        0.00317217,
        0.00282133,
        0.00322321,
        0.00285971,
        0.00245964,
        0.00255911,
        0.00285051,
        0.00295898,
        0.00282711,
        0.00278325,
        0.0031232,
        0.00349374,
        0.0034593,
        0.00385455,
        0.00339787,
        0.00542277,
        0.00484153,
        0.00381528,
        0.00369412,
        0.00313105,
        0.00290021,
        0.0029751,
        0.00287273,
        0.00268787,
        0.00316507,
        0.00301139,
        0.00271428,
        0.00295748,
        0.00278627,
        0.00245762,
        null,
        0.00341194,
        0.00341847,
        0.003425,
        0.00300962,
        0.00308925,
        0.0032905,
        0.0032323,
        0.00329598,
        0.00321682,
        0.00309745,
        0.00289712,
        0.00306408,
        0.00303288,
        0.00320969,
        0.0031488,
        0.0031379,
        0.00291299,
        0.00276664,
        0.00301787,
        0.00330344,
        0.00338018,
        0.00342637,
        0.00342924,
        0.00325172,
        0.00310167,
        0.00288699,
        0.00314221,
        0.00293493,
        0.00311462,
        0.00276535,
        0.0028004,
        0.00308615,
        0.00304889,
        0.003179,
        0.0031199,
        0.00300836,
        0.00303942,
        0.00314145,
        0.00311673,
        0.00293968,
        0.00337071,
        0.0030312,
        0.00319832,
        0.00282612,
        0.00272906,
        0.00342666,
        0.00310525,
        0.00312178,
        0.00279904,
        0.00276318,
        0.00308035,
        0.00309102,
        0.0028905,
        0.00294407,
        0.0029897,
        0.00300965,
        0.00348486,
        0.00267983,
        0.00303678,
        0.002965,
        0.00308783,
        0.00316145,
        0.00307367,
        0.00281542,
        0.00283864,
        0.0030489,
        0.00304616,
        0.0029045,
        0.00296018,
        0.00296947,
        0.00260313,
        0.00257797,
        0.00287737,
        0.00271904,
        0.00300908,
        0.00299479,
        0.00264577,
        0.00284657,
        0.00304027,
        0.00322485,
        0.00324258,
        0.00313221,
        0.00307104,
        0.00301591,
        0.00293267,
        0.0028653,
        0.00267629,
        0.00265819,
        0.00303497,
        0.00297158,
        0.00310028,
        0.00317195,
        0.00289537,
        0.00312946,
        0.00321366,
        0.0029599,
        0.00282728,
        0.00305047,
        0.00322923,
        0.00301623,
        0.00278493,
        0.00276056,
        0.00272269,
        0.00342344,
        0.00306306,
        0.00271484,
        0.00270277,
        0.00379792,
        0.00312638,
        0.00314442,
        0.00269217,
        0.00269716,
        0.00304038,
        0.00296961,
        0.00276528,
        0.00295506,
        0.0032117,
        0.0030236,
        0.00271482,
        0.00300208,
        0.003099,
        0.0030406,
        0.00287311,
        0.00270441,
        0.00264566,
        0.00300195,
        0.00322783,
        0.00314622,
        0.00286029,
        0.00264841,
        0.00265471,
        0.00303894,
        0.00329436,
        0.00302657,
        0.00318533,
        0.00313867,
        0.00314895,
        0.00334567,
        0.00318009,
        0.00355993,
        0.00335927,
        0.00306099,
        0.00317016,
        0.0035054,
        0.00345599,
        0.00346006,
        0.00348665,
        0.00332665,
        0.0031189,
        0.00318616,
        0.00366996,
        0.00363918,
        0.00333945,
        0.00351624,
        0.00339976,
        0.00309501,
        0.00351144,
        0.00401564,
        0.00408371,
        0.00388794,
        0.00369745,
        0.0040066,
        0.00432595,
        0.00423884,
        0.004342,
        0.00517431,
        0.00603356,
        0.00606707,
        0.00588724,
        0.00539572,
        0.00434232,
        0.00528466,
        0.00488925,
        0.00444085,
        0.00512362,
        0.00619107,
        0.00668698,
        0.00745539,
        0.00726849,
        0.00618398,
        0.00549666,
        0.00550495,
        0.0056227,
        0.00502036,
        0.00485559,
        0.0048238,
        0.00436893,
        0.00413409,
        0.00424503,
        0.00428768,
        0.00402873,
        0.00352835,
        0.00384622,
        0.00410564,
        0.00369108,
        0.00335282,
        0.00322893,
        0.00330783,
        0.00364294,
        0.00384588,
        0.00363716,
        0.00334369,
        0.00325706,
        0.00364077,
        0.00303685,
        0.00309982,
        0.00357946,
        0.00353999,
        0.00386392,
        0.00375858,
        0.00402287,
        0.00423439,
        0.00419389,
        0.00451697,
        0.00474829,
        0.00640624,
        0.0055994,
        0.00506347,
        0.00502768,
        0.00504236,
        0.00438003,
        0.00407006,
        0.00363612,
        0.00327065,
        0.00292471,
        0.00295467,
        0.00305413,
        0.00315698,
        0.00315327,
        0.00295329,
        0.00300742,
        0.00285259,
        0.00276447,
        0.00282391,
        0.00321524,
        0.00368087,
        0.00281999,
        0.00287601,
        0.00322594,
        0.00348565,
        0.00315377,
        0.00266028,
        0.00270571,
        0.00312371,
        0.00313527,
        0.00282294,
        0.00287052,
        0.00292735,
        0.00244963,
        0.00245035,
        0.00273648,
        0.0031744,
        0.00318528,
        0.00299464,
        0.0031484,
        0.0032236,
        0.00313437,
        0.00307994,
        0.00282781,
        0.0026011,
        0.00279037,
        0.00286498,
        0.00276669,
        0.00291556,
        0.00310642,
        0.00306183,
        0.00300969,
        0.00293378,
        0.00301156,
        0.00292994,
        0.00305521,
        0.00256548,
        0.00274945,
        0.00305481,
        0.0028186,
        0.00278034,
        0.00299521,
        0.00303101,
        0.00305315,
        0.00297304,
        0.00273643,
        0.00265323,
        0.00287709,
        0.0029824,
        0.00268746,
        0.00263644,
        0.00310018,
        0.00272358,
        0.00284777,
        0.00242053,
        0.00227753,
        0.00287359,
        0.00242654,
        0.00293875,
        0.00278405,
        0.00256137,
        0.00263057,
        0.00277112,
        0.00284319,
        0.00278293,
        0.00258504,
        0.00276795,
        0.00326736,
        0.00319687,
        0.00307996,
        0.00287161,
        0.00302648,
        0.00333152,
        0.00271233,
        0.00321721,
        0.00286935,
        0.00266359,
        0.00308727,
        0.00266699,
        0.00274081,
        0.00300992,
        0.00273741,
        0.00272011,
        0.00299502,
        0.00287133,
        0.0029002,
        0.00337806,
        0.00332876,
        0.00311818,
        0.00281655,
        0.00282086,
        0.00296871,
        0.00301754,
        0.00343806,
        0.00309756,
        0.00302216,
        0.00288939,
        0.00287642,
        0.00285467,
        0.00284226,
        0.00284725,
        0.002749,
        0.00273478,
        0.00266415,
        0.00262668,
        0.00293284,
        0.00304319,
        0.00296683,
        0.00263685,
        0.00302855,
        0.00263893,
        0.00289379,
        0.00278624,
        0.00291732,
        0.00306814,
        0.00280534,
        0.00306422,
        0.00327923,
        0.00310549,
        0.00310281,
        0.00323983,
        0.00299935,
        0.00299884,
        0.0032246,
        0.00307056,
        0.00310257,
        0.00282746,
        0.00264451,
        0.00297927,
        0.00269138,
        0.00312543,
        0.00245564,
        0.0029147,
        0.00276294,
        0.00281798,
        0.00327215,
        0.00263522,
        0.00266978,
        0.00259018,
        0.00283687,
        0.00290512,
        0.00274304,
        0.00279826,
        0.00272617,
        0.00263642,
        0.00278817,
        0.0029558,
        0.00312399,
        0.00266486,
        0.00330808,
        0.00316684,
        0.00285828,
        0.00309689,
        0.00316955,
        0.00297817,
        0.00247793,
        0.00276123,
        0.00258681,
        0.00270356,
        0.00301679,
        0.00265759,
        0.00269544,
        0.00310849,
        0.00272207,
        0.00265381,
        0.00310979,
        0.00297702,
        0.00294685,
        0.00307909,
        0.00262196,
        0.00250782,
        0.00271473,
        0.00323892,
        0.00304929,
        0.0026473,
        0.00282806,
        0.00284504,
        0.00257737,
        0.00272538,
        0.0028048,
        0.00272413,
        0.00291794,
        0.00295145,
        0.00271349,
        0.00298555,
        0.00259512,
        0.00289976,
        0.00266905,
        0.00263703,
        0.0027316,
        0.00297269,
        0.00289368,
        0.00262305,
        0.00269146,
        0.00301912,
        0.00307192,
        0.00286597,
        0.00278063,
        0.00267341,
        0.00260929,
        0.0031123,
        0.00337348,
        0.00307887,
        0.00287745,
        0.0030322,
        0.00315632,
        0.00254291,
        0.00338858,
        0.00281103,
        0.00295228,
        0.00288937,
        0.002975,
        0.00309003,
        0.00298155,
        0.0030004,
        0.00302036,
        0.00298448,
        0.00305962,
        0.00314443,
        0.00311529,
        0.00321761,
        0.00353455,
        0.00340903,
        0.0030928,
        0.00274729,
        0.00279939,
        0.00294391,
        0.00266261,
        0.00317887,
        0.00301519,
        0.00308163,
        0.00282449,
        0.00283803,
        0.00310185,
        0.00273131,
        0.00292635,
        0.00296761,
        0.00306929,
        0.00343253,
        0.00337047,
        0.00320032,
        0.00312415,
        0.00306262,
        0.00301897,
        0.00307412,
        0.00307375,
        0.00315008,
        0.00289515,
        0.00302386,
        0.00275662,
        0.00266053,
        0.00269989,
        0.00280004,
        0.00284147,
        0.00282477,
        0.00258812,
        0.00247098,
        0.00275228,
        0.00286762,
        0.00294768,
        0.00297175,
        0.00268857,
        0.00278719,
        0.00295589,
        0.00283654,
        0.00280805,
        0.00291489,
        0.00290013,
        0.00303201,
        0.00292759,
        0.00286446,
        0.00316393,
        0.00309267,
        0.00268585,
        0.00285987,
        0.00290604,
        0.00289289,
        0.00321992,
        0.00335013,
        0.00309342,
        0.00305559,
        0.00325752,
        0.00330663,
        0.00326496,
        0.00313092,
        0.00290822,
        0.00283333,
        0.00312714,
        0.00315059,
        0.0034703,
        0.00256941,
        0.00267054,
        0.00321219,
        0.00318042,
        0.00323172,
        0.00317187,
        0.00333175,
        0.00304066,
        0.00286088,
        0.00281221,
        0.00320309,
        0.00318585,
        0.00288155,
        0.00298595,
        0.00319385,
        0.00351768,
        0.00383419,
        0.00352798,
        0.00358644,
        0.00374999,
        0.00358647,
        0.00321195,
        0.00376492,
        0.00314176,
        0.00335524,
        0.00366038,
        0.00338296,
        0.00384258,
        0.00411975,
        0.0040495,
        0.00410463,
        0.00435837,
        0.00410873,
        0.00424543,
        0.00450808,
        0.00477507,
        0.00496273,
        0.00520082,
        0.00636553,
        0.00688368,
        0.00545275,
        0.00528298,
        0.00482135,
        0.00415459,
        0.00365105,
        0.00378795,
        0.00353783,
        0.0040176,
        0.00399703,
        0.0039293,
        0.00416587,
        0.00399713,
        0.0041066,
        0.00349092,
        0.00312903,
        0.00325797,
        0.003468,
        0.00359848,
        0.00356521,
        0.00376762,
        0.003905,
        0.00391392,
        0.00409475,
        0.00370117,
        0.00375771,
        0.00368406,
        0.00363385,
        0.00341872,
        0.00390253,
        0.00307732,
        0.00340897,
        0.00410733,
        0.00302679,
        0.00407141,
        0.00477616,
        0.00453514,
        0.00400839,
        0.00503661,
        0.00527435,
        0.00544469,
        0.00590726,
        0.00690081,
        0.00725908,
        0.00572137,
        0.00465614,
        0.00558518,
        0.00494397,
        0.00478732,
        0.00496298,
        0.00424996,
        0.00409642,
        0.00418652,
        0.00467173,
        0.00410621,
        0.0037039,
        0.00339938,
        0.00349063,
        0.00327628,
        0.00329077,
        0.00334201,
        0.00339123,
        0.00332266,
        0.00316432,
        0.00354865,
        0.00387199,
        0.00372103,
        0.00413699,
        0.00442873,
        0.00417419,
        0.00354597,
        0.00317099,
        0.00343345,
        0.00301136,
        0.00320511,
        0.0027417,
        0.00320608,
        0.00308072,
        0.00340291,
        0.00286406,
        0.00295547,
        0.00312481,
        0.00336925,
        0.00334194,
        0.00320419,
        0.00324553,
        0.0033558,
        0.00349312,
        0.00350272,
        0.00324382,
        0.00312294,
        0.00296871,
        0.00278394,
        0.00365072,
        0.00359301,
        0.00358798,
        0.00324429,
        0.00401251,
        0.00458833,
        0.00376736,
        0.00518771,
        0.00420738,
        0.00518044,
        0.00565741,
        0.0063575,
        0.00724696,
        0.00587272,
        0.0046977,
        0.00504404,
        0.00392095,
        0.00429623,
        0.00379382,
        0.0038873,
        0.00357372,
        0.00325015,
        0.00313495,
        0.00328348,
        0.00341848,
        0.00312757,
        0.00351926,
        0.00346529,
        0.00314237,
        0.00312777,
        0.00312731,
        0.00311221,
        0.00301149,
        0.00284872,
        0.00281136,
        0.00296744,
        0.00317814,
        0.00296948,
        0.00268914,
        0.00294973,
        0.00304095,
        0.00325711,
        0.00331575,
        0.00307371,
        0.00274276,
        0.00320013,
        0.00305581,
        0.00253487,
        0.00265187,
        0.0025773,
        0.00280162,
        0.00300452,
        0.00300613,
        0.00294878,
        0.00292763,
        0.0024833,
        0.00255268,
        0.00271947,
        0.00278894,
        0.00288022,
        0.0028016,
        0.00280785,
        0.00297483,
        0.00288117,
        0.0026721,
        0.00282944,
        0.00231848,
        0.00218698,
        0.00285798,
        0.00303425,
        0.0028426,
        0.00285298,
        0.00302739,
        0.00280737,
        0.00300108,
        0.00308282,
        0.0030132,
        0.00267167,
        0.00286186,
        0.00290976,
        0.00290658,
        0.00282239,
        0.00281372,
        0.00310991,
        0.00294419,
        0.00280781,
        0.0031252,
        0.00321125,
        0.00313538,
        0.00298184,
        0.00293306,
        0.00275702,
        0.00306579,
        0.00302263,
        0.00269707,
        0.00339528,
        0.0032478,
        0.00289155,
        0.00286081,
        0.00275152,
        0.00289092,
        0.00287839,
        0.00348093,
        0.0030577,
        0.00312509,
        0.00304205,
        0.00291228,
        0.00274905,
        0.00305729,
        0.00305797,
        0.00283375,
        0.00293907,
        0.00312131,
        0.00294565,
        0.00297456,
        0.00314853,
        0.00348005,
        0.00355504,
        0.00314511,
        0.00327561,
        0.00339373,
        0.00330103,
        0.00299182,
        0.00303164,
        0.00285093,
        0.0030875,
        0.00302803,
        0.00345358,
        0.00363026,
        0.00399569,
        0.00422891,
        0.00546661,
        0.00438866,
        0.00613759,
        0.00482791,
        0.00405454,
        0.0039126,
        0.00378111,
        0.00356203,
        0.00329925,
        0.00346837,
        0.00355007,
        0.00335245,
        0.00314796,
        0.00319532,
        0.00310876,
        0.00306396,
        0.00314106,
        0.00275009,
        0.00299019,
        0.00236431,
        0.00307872,
        0.00328323,
        0.00305474,
        0.00268421,
        0.00292524,
        0.00298474,
        0.00295642,
        0.00333477,
        0.00311509,
        0.00333381,
        0.00313533,
        0.00302326,
        0.00287526,
        0.00322991,
        0.00344178,
        0.00307332,
        0.00303457,
        0.00328688,
        0.00312672,
        0.00288006,
        0.00297175,
        0.00306882,
        0.00304439,
        0.00309257,
        0.00318303,
        0.0033234,
        0.00342179,
        0.0034268,
        0.00346505,
        0.00370737,
        0.00360175,
        0.00290434,
        0.0032022,
        0.0026023,
        0.00259971,
        0.0027114,
        0.00298631,
        0.00291409,
        0.00351396,
        0.00295211,
        0.00268597,
        0.00314875,
        0.00317239,
        0.00291072,
        0.00278373,
        0.00318996,
        0.00361735,
        null,
        0.00345675,
        0.00315973,
        0.00307882,
        0.00311207,
        0.00311057,
        0.00281677,
        0.00282797,
        0.00259583,
        0.00277977,
        0.00304608,
        0.00306515,
        0.00288433,
        0.00298446,
        0.00321731,
        0.0031219,
        0.00309823,
        0.00297644,
        0.00294985,
        0.00317759,
        0.00320277,
        0.00336581,
        0.00356422,
        0.00308699,
        0.00331594,
        0.00315703,
        0.00319666,
        0.00278779,
        0.00269755,
        0.0030595,
        0.00311434,
        0.0033692,
        0.00308928,
        0.00311136,
        0.00309513,
        0.00273306,
        0.00305251,
        0.00278461,
        0.00296842,
        0.00292047,
        0.00268984,
        0.00278624,
        0.00285873,
        0.00301006,
        0.00291925,
        0.00263484,
        0.00274002,
        0.00315403,
        0.00313582,
        0.00298694,
        0.00298782,
        0.00311296,
        0.00283819,
        0.00294265,
        0.00297181,
        0.00278867,
        0.00262433,
        0.00230489,
        0.0022443,
        0.00278182,
        0.00261914,
        0.00286455,
        0.00236182,
        0.00264268,
        0.0029716,
        0.00264657,
        0.00252818,
        0.00309881,
        0.00290882,
        0.00283081,
        0.00260445,
        0.00245379,
        0.00284388,
        0.00285178,
        0.00280386,
        0.00263185,
        0.00270189,
        0.00229134,
        0.00294374,
        0.00278724,
        0.00245192,
        0.00248698,
        0.00254391,
        0.00285735,
        0.00320838,
        0.00285731,
        0.002762,
        0.00265826,
        0.00249805,
        0.00257231,
        0.00300335,
        0.00296158,
        0.00287883,
        0.00282012,
        0.00262725,
        0.00250518,
        0.00250667,
        0.00270371,
        0.00294435,
        0.0028551,
        0.00279698,
        0.00314399,
        0.00325446,
        0.00294661,
        0.00274408,
        0.00295039,
        0.00281465,
        0.00258274,
        0.00280191,
        0.00308657,
        0.00316405,
        0.00289969,
        0.0029567,
        0.00319119,
        0.00328925,
        0.00322326,
        0.00301291,
        0.00255461,
        0.00310523,
        0.00306093,
        0.00312891,
        0.00320688,
        0.00302562,
        0.0031635,
        0.00313909,
        0.0027045,
        0.00228352,
        0.00206414,
        0.00219301,
        0.00245742,
        0.00260421,
        0.0028119,
        0.00290078,
        0.00286417,
        0.0029891,
        0.00311765,
        0.00266695,
        0.00253113,
        0.00234589,
        0.00270408,
        0.0024913,
        0.00283236,
        0.00272369,
        0.00252819,
        0.00258809,
        0.00285372,
        0.00279364,
        0.00265334,
        0.00271347,
        0.0030818,
        0.00292899,
        0.00274823,
        0.00273205,
        0.00276498,
        0.00296011,
        0.00305289,
        0.00285047,
        0.00244832,
        0.00231427,
        0.00251781,
        0.00279415,
        0.00276858,
        0.00260724,
        0.0026101,
        0.00275403,
        0.00306253,
        0.00274296,
        0.00275714,
        0.00298319,
        0.00271096,
        0.00257907,
        0.00300289,
        0.00367696,
        0.00365023,
        0.00353921,
        0.00337104,
        0.00302652,
        0.00251525,
        0.00213919,
        0.00217924,
        0.00220532,
        0.0025325,
        0.00219155,
        0.0026715,
        0.00290505,
        0.00256886,
        0.001923,
        0.00228733,
        0.00226234,
        0.00269053,
        0.00299515,
        0.00198966,
        0.00231524,
        0.00282984,
        0.00311546,
        0.00262203,
        0.00253863,
        0.00320387,
        0.00309736,
        0.00272698,
        0.00275925,
        0.00300569,
        0.00282267,
        0.00303078,
        0.00294632,
        0.00282693,
        0.00283622,
        0.0034443,
        0.00320098,
        0.00300266,
        0.00319623,
        0.00405325,
        0.00432046,
        0.00427713,
        0.00582661,
        0.00832458,
        0.0077357,
        0.0054059,
        0.00457912,
        0.00380318,
        0.00321442,
        0.00325565,
        0.00319161,
        0.00319133,
        0.00314487,
        0.00287979,
        0.00274961,
        0.0029379,
        0.00304025,
        0.00286597,
        0.00283521,
        0.00275677,
        0.00293898,
        0.00335663,
        0.00307349,
        0.00276938,
        0.00262207,
        0.00290712,
        0.00301484,
        0.003196,
        0.00294388,
        0.00310393,
        0.0028142,
        0.0025847,
        0.00249745,
        0.00292786,
        0.00294773,
        0.00294591,
        0.00308447,
        0.00277158,
        0.00283218,
        0.00274978,
        0.00274531,
        0.00268286,
        0.00273506,
        0.00296098,
        0.00266428,
        0.00243454,
        0.00246213,
        0.00296166,
        0.00280527,
        0.00253599,
        0.00339495,
        0.00339559,
        0.00312844,
        0.00275256,
        0.00333756,
        0.00274772,
        0.00258012,
        0.00294969,
        0.0028073,
        0.00257457,
        0.00288818,
        0.00330726,
        0.00238873,
        0.00266256,
        0.0024713,
        0.00219787,
        0.00210689,
        0.00223606,
        0.00276991,
        0.00329677,
        0.00309963,
        0.00325759,
        0.00326225,
        0.00339467,
        0.00376766,
        0.00444455,
        0.00465956,
        0.00420267,
        0.00410487,
        0.00343139,
        0.00317672,
        0.00344417,
        0.0036295,
        0.00445733,
        0.00527657,
        0.00453741,
        0.00405612,
        0.00346124,
        0.00328932,
        0.00310209,
        0.00280113,
        0.00238164,
        0.00259228,
        0.00259908,
        0.00292941,
        0.00338039,
        0.0032624,
        0.00300399,
        0.00330991,
        0.00314999,
        0.00328314,
        0.00370577,
        0.00335663,
        0.00294101,
        0.00283025,
        0.00290393,
        0.002816,
        0.00274311,
        0.00325366,
        0.00352715,
        0.00319733,
        0.00306501,
        0.0030804,
        0.00332145,
        0.00363919,
        0.00332702,
        0.00344146,
        0.00429778,
        0.00574598,
        0.00583457,
        0.00504062,
        0.00460595,
        0.00463614,
        0.00459132,
        0.00440222,
        0.00409719,
        0.00476157,
        0.00524691,
        0.00658041,
        0.00821681,
        0.00924938,
        0.00646545,
        0.00578446,
        0.00554791,
        0.00492427,
        0.00367719,
        0.00382911,
        0.00372661,
        0.00378387,
        0.00336153,
        0.00322961,
        0.00319713,
        0.00312719,
        0.00326768,
        0.00307011,
        0.00330633,
        0.00320358,
        0.00328337,
        0.00292354,
        0.00336709,
        0.00301486,
        0.00236088,
        0.0032318,
        0.00324105,
        0.00326621,
        0.00374265,
        0.00289933,
        0.00308919,
        0.00311077,
        0.00347762,
        0.00308798,
        0.00286428,
        0.00251724,
        0.00312947,
        0.0028854,
        0.00332877,
        0.00290283,
        0.00258368,
        0.00261124,
        0.0035057,
        0.00336682,
        0.00324673,
        0.00320304,
        0.00340246,
        0.00366857,
        0.00405104,
        0.00320893,
        0.00346353,
        0.00387228,
        0.00400031,
        0.00402796,
        0.00498798,
        0.00521209,
        0.00430516,
        0.00389721,
        0.0041973,
        0.00523773,
        0.00627628,
        0.00632308,
        0.00770944,
        0.00750509,
        0.00657331,
        0.00601636,
        0.00547645,
        0.00448103,
        0.0045775,
        0.00448605,
        0.00418101,
        0.00376229,
        0.00388472,
        0.00372419,
        0.00351368,
        0.00304782,
        0.00299188,
        0.00345421,
        0.00358,
        0.00344768,
        0.00316169,
        0.00348419,
        0.00344477,
        0.0032915,
        0.0030737,
        0.00315381,
        0.00333613,
        0.00344303,
        0.00356423,
        0.00354137,
        0.00348656,
        0.00366583,
        0.00392695,
        0.00398093,
        0.0037093,
        0.00435451,
        0.00539406,
        0.00580063,
        0.00847473,
        0.00760985,
        0.00783172,
        0.00768167,
        0.00632107,
        0.00474109,
        0.00422681,
        0.00477747,
        0.00466216,
        0.00440153,
        0.00456631,
        0.00463383,
        0.00410049,
        0.00414412,
        0.00448284,
        0.00441418,
        0.00430732,
        0.00482038,
        0.00539338,
        0.00517855,
        0.00543337,
        0.00613522,
        0.00648024,
        0.00627043,
        0.00716338,
        0.00861438,
        0.00929294,
        0.00801702,
        0.00847473,
        0.00719322,
        0.00547241,
        0.00421613,
        0.00388065,
        0.00397423,
        0.00399279,
        0.00410027,
        0.00390427,
        0.00380714,
        0.00371755,
        0.0038906,
        0.00446339,
        0.00444604,
        0.0044882,
        0.00528373,
        0.00643286,
        0.00747038,
        0.00820951,
        0.00679135,
        0.00550557,
        0.00532001,
        0.00534375,
        0.00508431,
        0.00476846,
        0.00482235,
        0.00522906,
        0.00557144,
        0.0065019,
        0.0076282,
        0.00862503,
        0.00528739,
        0.00487618,
        0.00461101,
        0.00518845,
        0.00513954,
        0.0048176,
        0.00461048,
        0.00564701,
        0.00631001,
        0.00516716,
        0.00555736,
        0.00461914,
        0.00384996,
        0.00402454,
        0.00397401,
        0.00344407,
        0.00291499,
        0.00321177,
        0.00349087,
        0.00362401,
        0.00364513,
        0.00335133,
        0.00368098,
        0.00371889,
        0.00344667,
        0.00312842,
        0.0030356,
        0.00302565,
        0.00329246,
        0.00293178,
        0.00302254,
        0.00311738,
        0.00326366,
        0.00319527,
        0.00356482,
        0.00321893,
        0.0037565,
        0.00321989,
        0.00357267,
        0.00355828,
        0.00340022,
        0.00390116,
        0.00446888,
        0.00437597,
        0.00406338,
        0.00355518,
        0.00372957,
        0.0031939,
        0.00346232,
        0.00306446,
        0.00268767,
        0.00349912,
        0.0032213,
        0.00354197,
        0.00330634,
        0.00292479,
        0.00313946,
        0.00356368,
        0.00302711,
        0.00339169,
        0.00366969,
        0.00382894,
        0.00401336,
        0.00409472,
        0.00396658,
        0.00538724,
        0.00589931,
        0.00597604,
        0.00458768,
        0.00419162,
        0.00359227,
        0.00318324,
        0.00352393,
        0.00294839,
        0.00318316,
        0.00346132,
        0.00369481,
        0.00374558,
        0.00333504,
        0.0030761,
        0.00277984,
        0.0033018,
        0.00287216,
        0.0029108,
        0.00314333,
        0.00304275,
        0.00312971,
        0.00308297,
        0.00299197,
        0.0030291,
        0.00347618,
        0.00364402,
        0.0031746,
        0.00341047,
        0.00377237,
        0.00402196,
        0.00428992,
        0.00585256,
        0.00746092,
        0.00534833,
        0.00500468,
        0.0045348,
        0.00438312,
        0.00419869,
        0.00431519,
        0.00436698,
        0.00430271,
        0.00344246,
        0.00368605,
        0.00403752,
        0.0042583,
        0.00442763,
        0.00508553,
        0.00538049,
        0.00532828,
        0.00670893,
        0.00776273,
        0.00466073,
        0.00374222,
        0.00441749,
        0.00362674,
        0.003614,
        0.00375242,
        0.00394286,
        0.00303547,
        0.00298634,
        0.00300842,
        0.00284475,
        0.00335782,
        0.00332569,
        0.00288214,
        0.00286587,
        0.00271095,
        0.0028542,
        0.00323257,
        0.00276918,
        0.00276311,
        0.00286357,
        0.00260784,
        0.00275873,
        0.00283526,
        0.00293332,
        0.00270996,
        0.00243846,
        0.00289278,
        0.0031453,
        0.00270073,
        0.00263614,
        0.00281481,
        0.00273243,
        0.00290464,
        0.00317288,
        0.00291034,
        0.00298321,
        0.00303808,
        0.00287047,
        0.00323594,
        0.00300184,
        0.00253187,
        0.0028082,
        0.00274893,
        0.0029314,
        0.00314699,
        0.00302577,
        0.00319171,
        0.00335099,
        0.0032417,
        0.00316771,
        0.00290414,
        0.00278471,
        0.00311733,
        0.00281769,
        0.00330737,
        0.00336607,
        0.00332404,
        0.00365533,
        0.00339936,
        0.00359005,
        0.00337446,
        0.0033596,
        0.0042662,
        0.00436276,
        0.00607133,
        0.00663673,
        0.00990353,
        0.00725786,
        0.00597095,
        0.00506524,
        0.00481756,
        0.00502629,
        0.00414342,
        0.0036996,
        0.00383758,
        0.00414979,
        0.00353943,
        0.00338019,
        0.00298605,
        0.00335433,
        0.00349154,
        0.00338424,
        0.00350649,
        0.0038683,
        0.00420138,
        0.0038184,
        0.00430817,
        0.00406972,
        0.00390784,
        0.0047214,
        0.00467834,
        0.0044367,
        0.00501956,
        0.00573178,
        0.00703809,
        0.00940528,
        0.00771016,
        0.00580586,
        0.00531671,
        0.00525401,
        0.00462622,
        0.00544816,
        0.004457,
        0.00368829,
        0.00388119,
        0.00317679,
        0.00340955,
        null,
        0.00502542,
        0.00497623,
        0.00492703,
        0.00487783,
        0.00491595,
        0.00517993,
        0.00535633,
        0.00514423,
        0.00481896,
        0.00471113,
        0.00481259,
        0.00504996,
        0.0052957,
        0.00540577,
        0.00527728,
        0.00551319,
        0.00590595,
        0.00492948,
        0.00531284,
        0.0051895,
        0.00516604,
        0.00567555,
        0.00560778,
        0.00514402,
        0.00485666,
        0.00486157,
        0.00511853,
        0.00513891,
        0.00589624,
        0.00618336,
        0.00577883,
        0.0052749,
        0.0051572,
        0.0049767,
        0.00506573,
        0.0053801,
        0.00480536,
        0.00523454,
        0.00565954,
        0.00575853,
        0.00543838,
        0.00551276,
        0.00441249,
        0.00433839,
        0.00492036,
        0.00441315,
        0.0046608,
        0.0046489,
        0.00470573,
        0.00503116,
        0.0057108,
        0.00549818,
        0.00553454,
        0.00546897,
        0.00512836,
        0.00555471,
        0.00645256,
        0.00618415,
        0.00504102,
        0.0039601,
        0.004603,
        0.00498852,
        0.00501078,
        0.00494259,
        0.00542046,
        0.00519456,
        0.00475636,
        0.00439053,
        0.00433082,
        0.00480932,
        0.0051364,
        0.0056299,
        0.00551826,
        0.00442255,
        0.00521832,
        0.00591521,
        0.005817,
        0.00524398,
        0.00494498,
        0.00444191,
        0.00522263,
        0.00558658,
        0.00510692,
        0.00463954,
        0.00615219,
        0.00637928,
        0.00608089,
        0.00588443,
        0.00574399,
        0.00456357,
        0.00484754,
        0.00539338,
        0.0047157,
        0.00478888,
        0.00499976,
        0.00515615,
        0.00522536,
        0.00522817,
        0.00419464,
        0.00404502,
        0.0042702,
        0.00459237,
        0.00493957,
        0.00455446,
        0.00448352,
        0.00465483,
        0.0048826,
        0.00480794,
        0.00418573,
        0.00436502,
        0.00489014,
        0.00497442,
        0.00450256,
        0.00500749,
        0.00528763,
        0.00524211,
        0.00530429,
        0.00558813,
        0.00510909,
        0.00484932,
        0.00513168,
        0.00549334,
        0.00599084,
        0.00702082,
        0.00803976,
        0.00905623,
        0.0122035,
        0.0121532,
        0.0113344,
        0.00968744,
        0.00718276,
        0.00749479,
        0.00737464,
        0.00657408,
        0.00569409,
        0.00583603,
        0.00542604,
        0.00556235,
        0.00545639,
        0.00500925,
        0.00495014,
        0.00561763,
        0.00562636,
        0.00517171,
        0.00473368,
        0.00554962,
        0.00467503,
        0.00429127,
        0.00443349,
        0.00472483,
        0.00464657,
        0.00502405,
        0.00523224,
        0.00508931,
        0.00463595,
        0.00485211,
        0.00481459,
        0.00452372,
        0.00429475,
        0.0048351,
        0.00530165,
        0.00540635,
        0.00500882,
        0.00433998,
        0.00457028,
        0.00432609,
        0.00431445,
        0.00455898,
        0.00484473,
        0.00412007,
        0.00449731,
        0.00429096,
        0.00410091,
        0.00506685,
        0.0047753,
        0.00483326,
        0.00466322,
        0.00444606,
        0.00494724,
        0.00436355,
        0.00440596,
        0.00467687,
        0.00487582,
        0.00486292,
        0.00473523,
        0.00491862,
        0.00572736,
        0.00687723,
        0.00595714,
        0.00529039,
        0.00514562,
        0.00527297,
        0.00534747,
        0.00558367,
        0.00541017,
        0.00531356,
        0.00523031,
        0.0048554,
        0.00521912,
        0.00459367,
        0.00428885,
        0.00446444,
        0.00411686,
        0.00462189,
        0.00483915,
        0.00499912,
        0.00530465,
        0.00582725,
        0.00503579,
        0.00439434,
        0.00442066,
        0.00520237,
        0.00558979,
        0.00557828,
        0.00538538,
        0.00510588,
        0.00488336,
        0.00564659,
        0.00512456,
        0.00500909,
        0.00509707,
        0.00410387,
        0.00456258,
        0.00422647,
        0.0046094,
        0.00550597,
        0.00442435,
        0.00459695,
        0.00442311,
        0.00440523,
        0.004754,
        0.0048041,
        0.00436101,
        0.00444029,
        0.00480125,
        0.00497853,
        0.00420231,
        0.00441214,
        0.00474795,
        0.00476461,
        0.00426523,
        0.00458907,
        0.00494731,
        0.00494702,
        0.00464254,
        0.00439147,
        0.00471077,
        0.00482722,
        0.00556634,
        0.00636643,
        0.00479434,
        0.0046014,
        0.00465098,
        0.00449613,
        0.00425196,
        0.00524458,
        0.00482189,
        0.00459141,
        0.00437659,
        0.00399995,
        0.00435589,
        0.00406644,
        0.00421574,
        0.00453072,
        0.00446491,
        0.00406585,
        0.00428816,
        0.00428342,
        0.00434669,
        0.00529094,
        0.00510116,
        0.00479919,
        0.0045748,
        0.00457238,
        0.00492799,
        0.0047349,
        0.00435699,
        0.00401983,
        0.00397839,
        0.00461633,
        0.00412822,
        0.00477463,
        0.00548884,
        0.00557831,
        0.00613704,
        0.0056467,
        0.00658252,
        0.00810815,
        0.00895511,
        0.0094868,
        0.00928125,
        0.00897096,
        0.00842376,
        0.00731316,
        0.00589102,
        0.00602401,
        0.00602204,
        0.00569238,
        0.00574952,
        0.00487646,
        0.00484162,
        0.00574554,
        0.00695042,
        0.0068723,
        0.00577831,
        0.00513166,
        0.00542402,
        0.00619795,
        0.00520568,
        0.00531152,
        0.00504178,
        0.00508321,
        0.00568878,
        0.00497369,
        0.00470228,
        0.00481146,
        0.00496466,
        0.00473511,
        0.00351338,
        0.00350259,
        0.00411852,
        0.00469667,
        0.00457184,
        0.00419131,
        0.00465265,
        0.00468176,
        0.00432666,
        0.00436863,
        0.00442305,
        0.00455195,
        0.0046835,
        0.00459752,
        0.00390261,
        0.004483,
        0.00425935,
        0.00426901,
        0.00474569,
        0.00462958,
        0.00483882,
        0.00459311,
        0.00476395,
        0.00563808,
        0.00532008,
        0.00431184,
        0.0041645,
        0.004256,
        0.00391057,
        0.00423196,
        0.00393222,
        0.00423136,
        0.0049931,
        0.00559251,
        0.00465231,
        0.00412964,
        0.00393736,
        0.00397433,
        0.00410607,
        0.00417964,
        0.00437952,
        0.00414803,
        0.00376415,
        0.0041791,
        0.00399595,
        0.00399341,
        0.00392311,
        0.00386567,
        0.00424886,
        0.00456069,
        0.00485509,
        0.00474757,
        0.00425466,
        0.00406735,
        0.0044497,
        0.00450274,
        0.00434803,
        0.00420856,
        0.00441422,
        0.00380969,
        0.00359584,
        0.0038634,
        0.00436602,
        0.00407548,
        0.00392933,
        0.00418071,
        0.00448222,
        0.00445476,
        0.00477022,
        0.00381026,
        0.00346185,
        0.00400804,
        0.0049772,
        0.00440622,
        0.00381911,
        0.00377759,
        0.00424421,
        0.0048132,
        0.00416593,
        0.00389739,
        0.00370125,
        0.0035448,
        0.00362013,
        0.00392813,
        0.00383343,
        0.00393543,
        0.00436776,
        0.00460898,
        0.00559264,
        0.00548059,
        0.00503875,
        0.00503209,
        0.00621771,
        0.00449955,
        0.00474945,
        0.0054923,
        0.00559696,
        0.00643097,
        0.00539798,
        0.00454536,
        0.00440448,
        0.00493873,
        0.00482717,
        0.0054366,
        0.00512316,
        0.0045531,
        0.00458983,
        0.00399319,
        0.00496967,
        0.00524571,
        0.00469978,
        0.00406024,
        0.00462673,
        0.0047163,
        0.00496957,
        0.00548578,
        0.00609988,
        0.00619241,
        0.00527887,
        0.0060394,
        0.00847683,
        0.0101923,
        0.00885915,
        0.00658526,
        0.00607239,
        0.00587483,
        0.00552278,
        0.00575741,
        0.00546602,
        0.0056829,
        0.005984,
        0.00605597,
        0.00588544,
        0.00657442,
        0.00607498,
        0.00543703,
        0.00567577,
        0.00737344,
        0.00962258,
        0.0129685,
        0.0140357,
        0.0110817,
        0.00874746,
        0.00628196,
        0.00552626,
        0.00607506,
        0.00699565,
        0.00709633,
        0.00722408,
        0.00718935,
        0.00762242,
        0.00887024,
        0.0081315,
        0.00987143,
        0.0138986,
        0.00969567,
        0.00951168,
        0.00759496,
        0.00677802,
        0.00692356,
        0.00636638,
        0.00643952,
        0.00548937,
        0.00523404,
        0.00557297,
        0.00515678,
        0.00545846,
        0.00470789,
        0.00441091,
        0.00485421,
        0.00520578,
        0.0051202,
        0.00468631,
        0.00451353,
        0.00477296,
        0.00514802,
        0.00485663,
        0.0043723,
        0.00445542,
        0.00497491,
        0.00440863,
        0.00415859,
        0.00421809,
        0.00440361,
        0.00452439,
        0.00434528,
        0.00489245,
        0.00483433,
        0.00466896,
        0.00467923,
        0.00431658,
        0.00475786,
        0.00480695,
        0.00470774,
        0.00464275,
        0.0041443,
        0.00499102,
        0.00466802,
        0.00420856,
        0.00463343,
        0.00508662,
        0.00487544,
        0.00477955,
        0.0049514,
        0.00520496,
        0.00434801,
        0.00468442,
        0.00495208,
        0.00495375,
        0.00477784,
        0.00488941,
        0.00501277,
        0.00486553,
        0.00455921,
        0.00437512,
        0.00503568,
        0.00529316,
        0.00538707,
        0.00529141,
        0.00493566,
        0.00448641,
        0.00407648,
        0.00433904,
        0.00483066,
        0.00478212,
        0.00487933,
        0.00554154,
        0.00589942,
        0.00570455,
        0.0051077,
        0.00565472,
        0.00517131,
        0.00473807,
        0.00454596,
        0.00435575,
        0.00438814,
        0.00418776,
        0.00440596,
        0.00484361,
        0.00482126,
        0.00505015,
        0.00465463,
        0.00450224,
        0.00459656,
        0.00440082,
        0.00525801,
        0.00477386,
        0.00427813,
        0.00434838,
        0.00498039,
        0.00546201,
        0.00531542,
        0.00493288,
        0.00461934,
        0.00460783,
        0.00441757,
        0.00483954,
        0.00488486,
        0.00457117,
        0.00494503,
        0.0046045,
        0.00465254,
        0.00498696,
        0.00520289,
        0.00454156,
        0.00451019,
        0.00490341,
        0.00495417,
        0.0046644,
        0.00496023,
        0.00401429,
        0.0044313,
        0.00471388,
        0.00457137,
        0.00549599,
        0.00483948,
        0.00496202,
        0.00521277,
        0.00518918,
        0.00491993,
        0.00442828,
        0.00414853,
        0.00438355,
        0.00507167,
        0.0055942,
        0.00517662,
        0.00514326,
        0.00494339,
        0.00443509,
        0.00426188,
        0.00452013,
        0.00430321,
        0.00413599,
        0.0044753,
        0.00562098,
        0.00584175,
        0.00501789,
        0.00419985,
        0.00399219,
        0.00407602,
        0.00447192,
        0.00473282,
        0.00471961,
        0.00454311,
        0.00475536,
        0.00500754,
        0.00473386,
        0.00479126,
        0.00528507,
        0.00465048,
        0.00511912,
        0.00549957,
        0.00535003,
        0.00481515,
        0.00460444,
        0.00493972,
        0.00531961,
        0.00523421,
        0.00420838,
        0.00521536,
        0.00498086,
        0.00474257,
        0.00511975,
        0.00457595,
        0.00473816,
        0.00525164,
        0.00503206,
        0.00410636,
        0.00485239,
        0.0053452,
        0.0051817,
        0.00487073,
        0.00473133,
        0.00456703,
        0.00481859,
        0.00481224,
        0.0048839,
        0.00512896,
        0.00499144,
        0.0050981,
        0.00569622,
        0.00544814,
        0.00431505,
        0.00496386,
        0.0059766,
        0.00607362,
        0.00605563,
        0.00633128,
        0.00632359,
        0.00782201,
        0.00969907,
        0.011738,
        0.0133919,
        0.0134183,
        0.0103117,
        0.00947603,
        0.00931551,
        0.00897296,
        0.00939306,
        0.00806045,
        0.00995215,
        0.0118688,
        0.0120206,
        0.0111374,
        0.0117492,
        0.00960374,
        0.00753718,
        0.00680215,
        0.00616906,
        0.00624962,
        0.00561765,
        0.0049212,
        0.00459403,
        0.00469461,
        0.0053051,
        0.00487194,
        0.00514125,
        0.00593095,
        0.00448077,
        0.00464896,
        0.00494361,
        0.00513194,
        0.00495775,
        0.00411796,
        0.00497534,
        0.00496023,
        0.00492788,
        0.00517629,
        0.00543297,
        0.00560002,
        0.00542822,
        0.00491644,
        0.0048509,
        0.0067093,
        0.0061504,
        0.00643031,
        0.00822233,
        0.0113874,
        0.0150051,
        0.0144709,
        0.011898,
        0.00921119,
        0.00730058,
        0.0062728,
        0.0062743,
        0.00628901,
        0.00594048,
        0.00560525,
        0.00600129,
        0.00525418,
        0.00498437,
        0.00482189,
        0.00464279,
        0.00447434,
        0.00464693,
        0.00526131,
        0.00547969,
        0.00514288,
        0.00450401,
        0.00478965,
        0.00536127,
        0.00580476,
        0.00626981,
        0.00702768,
        0.00720161,
        0.00823011,
        0.00893956,
        0.00909917,
        0.00868457,
        0.00646075,
        0.00568246,
        0.00544467,
        0.00535166,
        0.00541275,
        0.00722233,
        0.00628712,
        0.00516741,
        0.0046441,
        0.00479746,
        0.00470276,
        0.00503456,
        0.00431217,
        0.00359489,
        0.00401322,
        0.00510485,
        0.00467816,
        0.0043454,
        0.00443115,
        0.00473375,
        0.00412852,
        0.0041213,
        0.00441934,
        0.00462682,
        0.00462636,
        0.00502445,
        0.00422092,
        0.00421975,
        0.00451307,
        0.00460202,
        0.00453429,
        0.0045476,
        0.00428834,
        0.0042945,
        0.00473893,
        0.00508987,
        0.00446288,
        0.00457802,
        0.00465622,
        0.00455847,
        0.00519482,
        0.00423077,
        0.00433962,
        0.00504136,
        0.00553804,
        0.00482179,
        0.00500329,
        0.00490713,
        0.00493372,
        0.0049972,
        0.00458444,
        0.0047669,
        0.00511259,
        0.00499936,
        0.00457722,
        0.00450403,
        0.00408893,
        0.00413562,
        0.00427958,
        0.00436211,
        0.00437626,
        0.00480738,
        0.00454637,
        0.00475559,
        0.00522403,
        0.00522663,
        0.00502826,
        0.00528816,
        0.0055412,
        0.00593359,
        0.00665754,
        0.00693494,
        0.00845424,
        0.0108999,
        0.0123135,
        0.0111307,
        0.00881765,
        0.00783651,
        0.00680266,
        0.00561521,
        0.00453517,
        0.00419289,
        0.00514491,
        0.0048846,
        0.0043874,
        0.00443046,
        0.00437063,
        0.00469463,
        0.004497,
        0.00473159,
        0.00537737,
        0.0042835,
        0.00525082,
        0.00599955,
        0.00627289,
        0.00630715,
        0.00684787,
        0.00832943,
        0.00995189,
        0.00933701,
        0.00671962,
        0.00508907,
        0.00603931,
        0.00516216,
        0.00456015,
        0.00471048,
        0.00491968,
        0.00518252,
        0.00412163,
        0.00391811,
        0.00433047,
        0.00389349,
        0.00444189,
        0.00385952,
        0.00397314,
        0.00457848,
        0.0047145,
        0.00399859,
        0.00411458,
        0.00463905,
        0.00481927,
        0.00425044,
        0.00445912,
        0.00455848,
        0.00443677,
        0.00447043,
        0.00488731,
        0.00499367,
        0.00510062,
        0.00460844,
        0.00445064,
        0.00508576,
        0.00535653,
        0.00558988,
        0.00620991,
        0.00683104,
        0.00753748,
        0.00928473,
        0.0110129,
        0.00965528,
        0.00759842,
        0.00632956,
        0.00609193,
        0.00647183,
        0.00517254,
        0.00476264,
        0.00524327,
        0.00475765,
        0.00421487,
        0.00426799,
        0.00487436,
        0.00511049,
        0.0039183,
        0.00341425,
        0.00421464,
        0.00433366,
        0.00405676,
        0.00417335,
        0.00373487,
        0.00421484,
        0.00455913,
        0.00459451,
        0.00441157,
        0.00422627,
        0.00435975,
        0.00388964,
        0.00370241,
        0.00425335,
        0.00431567,
        0.00415872,
        0.00432411,
        0.00441161,
        0.00425201,
        0.00418432,
        0.00392063,
        0.00460244,
        0.00464604,
        0.00401603,
        0.00450405,
        0.00373375,
        0.00347252,
        0.00398182,
        0.00501161,
        0.0058609,
        0.00484141,
        0.00472252,
        0.0043319,
        0.00399869,
        0.00461916,
        0.00470652,
        0.00482699,
        0.00491372,
        0.00483529,
        0.0045491,
        0.00466499,
        0.0046118,
        0.00491097,
        0.00532047,
        0.00549352,
        0.00539753,
        0.00602169,
        0.00763799,
        0.00886484,
        0.00920834,
        0.0103831,
        0.0123114,
        0.0098162,
        0.00737829,
        0.00632314,
        0.0058056,
        0.00520645,
        0.00463479,
        0.00485985,
        0.00574382,
        0.00547762,
        0.00490012,
        0.00452914,
        0.00465125,
        0.00490397,
        0.00473337,
        0.0053747,
        0.00582635,
        0.00484749,
        0.00468876,
        0.0041482,
        0.00453962,
        0.0049562,
        0.00469128,
        0.00500362,
        0.00532228,
        0.00562049,
        0.00583076,
        0.00591307,
        0.00588444,
        0.0067556,
        0.00802461,
        0.0093042,
        0.00995329,
        0.00905702,
        0.00715269,
        0.00596093,
        0.0052469,
        0.00498202,
        0.00524282,
        0.00536029,
        0.00545451,
        0.00545539,
        0.00517439,
        0.00454813,
        0.00485287,
        0.00465092,
        0.00462706,
        0.00449552,
        0.00401586,
        0.00412691,
        0.00457369,
        0.0049678,
        0.004823,
        0.0042256,
        0.00467684,
        0.00511418,
        0.00530871,
        0.00542349,
        0.00540732,
        0.00487574,
        0.00508044,
        0.00467578,
        0.00455102,
        0.00477783,
        0.00479103,
        0.00462666,
        0.00486533,
        0.00506377,
        0.00508777,
        0.00497452,
        0.00476569,
        0.00505528,
        0.0047749,
        0.0044975,
        0.00492491,
        0.00527339,
        0.00544739,
        0.00577759,
        0.00608415,
        0.00633848,
        0.00701278,
        0.00784192,
        0.00841004,
        0.00839845,
        0.00805379,
        0.00834919,
        0.00917447,
        0.00726657,
        0.00561627,
        0.00520201,
        0.00533396,
        0.00513271,
        0.00498607,
        0.00497948,
        0.00510264,
        0.00533871,
        0.00593779,
        0.00552945,
        0.00515307,
        0.00534114,
        0.00593569,
        0.00499462,
        0.0048569,
        0.00494345,
        0.00475824,
        0.00438723,
        0.00491596,
        0.00486743,
        0.0044402,
        0.00455589,
        0.00522797,
        0.0055253,
        0.00501422,
        0.0054666,
        0.00513962,
        0.00450802,
        0.00490356,
        0.00451975,
        0.00431705,
        0.00451184,
        0.00481349,
        0.00488169,
        0.00480536,
        0.0049804,
        0.00472821,
        0.00495988,
        0.00585675,
        0.00541529,
        0.00491631,
        0.00479639,
        0.00503939,
        0.00512537,
        0.00408571,
        0.00528539,
        0.00524275,
        0.00465151,
        0.00425294,
        0.00460747,
        0.0042533,
        0.00499893,
        0.00527476,
        0.00511551,
        0.00498358,
        0.00473235,
        0.00522855,
        0.00518934,
        0.00512236,
        0.00518428,
        0.00401355,
        0.00510639,
        0.00463578,
        0.00448336,
        0.00525806,
        0.00558659,
        0.0053369,
        0.00513655,
        0.0049646,
        0.00501254,
        0.00550989,
        0.00568807,
        0.00534511,
        0.00520262,
        0.00566281,
        0.00669799,
        0.00676068,
        0.00794868,
        0.00915495,
        0.0109028,
        0.0128059,
        0.0118909,
        0.00928502,
        0.00724972,
        0.00674329,
        0.00708909,
        0.00582568,
        0.00507312,
        0.0051436,
        0.00545348,
        0.00527505,
        0.00412712,
        0.00469043,
        0.00501748,
        0.00499949,
        0.00483952,
        0.00478166,
        0.00484255,
        0.00439781,
        0.00483042,
        0.00513291,
        0.00481735,
        0.00499104,
        0.00535279,
        0.00495684,
        0.0050825,
        0.00561738,
        0.00510253,
        0.00492366,
        0.00474825,
        0.00463241,
        0.0048292,
        0.00551467,
        0.00566672,
        0.00646043,
        0.00768772,
        0.00835908,
        0.00778817,
        0.00663218,
        0.00624094,
        0.00591884,
        0.00558178,
        0.00529308,
        0.00525492,
        0.00563954,
        0.00584994,
        0.00572458,
        0.00582083,
        0.00693056,
        0.00670843,
        0.00782954,
        0.00765896,
        0.0071119,
        0.007563,
        0.0071323,
        0.00699504,
        0.00658672,
        0.0063184,
        0.00634716,
        0.00598991,
        0.00599817,
        0.00612576,
        0.00614137,
        0.00598809,
        0.00576234,
        0.00483094,
        0.00524782,
        0.00521801,
        0.00486383,
        0.00502803,
        0.0051689,
        0.00498826,
        0.0046394,
        0.00455482,
        0.00482359,
        0.00447474,
        0.005164,
        0.00586495,
        0.00592081,
        0.00546257,
        0.00552261,
        0.00553397,
        0.00536715,
        0.00516405,
        0.00510252,
        0.00525646,
        0.00465938,
        0.00490204,
        0.00579896,
        0.00598215,
        0.00486059,
        0.00506039,
        0.00445196,
        0.00460629,
        0.00498673,
        0.00520849,
        0.00541664,
        0.00603598,
        0.00628393,
        0.00674189,
        0.00702683,
        0.0063611,
        0.0070956,
        0.005506,
        0.0049414,
        0.00558757,
        0.00635946,
        0.00529992,
        0.00547946,
        0.00548155,
        0.0052597,
        0.00493299,
        0.00461753,
        0.00438022,
        0.00464402,
        0.00519133,
        0.00546095,
        0.00486014,
        0.00500441,
        0.005417,
        0.00560531,
        0.0052889,
        0.00449658,
        0.00402154,
        0.00515745,
        0.00494002,
        0.00452265,
        0.00484217,
        0.00551695,
        0.00441606,
        null,
        0.00545036,
        0.00525982,
        0.00506928,
        0.00487874,
        0.00449778,
        0.00435896,
        0.00426395,
        0.00410008,
        0.00427943,
        0.00464941,
        0.0048146,
        0.00501735,
        0.00531226,
        0.00550729,
        0.00468016,
        0.00476424,
        0.00465932,
        0.0044482,
        0.00435677,
        0.00443964,
        0.0043416,
        0.00446315,
        0.00471218,
        0.00481264,
        0.00454731,
        0.00433248,
        0.00477541,
        0.00493806,
        0.00518146,
        0.00535261,
        0.00462388,
        0.00514449,
        0.0053867,
        0.00527821,
        0.00502803,
        0.00485249,
        0.00461032,
        0.0044309,
        0.00436093,
        0.00435614,
        0.00442107,
        0.00459644,
        0.00474866,
        0.00444823,
        0.00446659,
        0.0046837,
        0.00496628,
        0.00567447,
        0.00516287,
        0.00553699,
        0.00545831,
        0.00503972,
        0.00519143,
        0.00510243,
        0.00604926,
        0.00598352,
        0.00557957,
        0.00549491,
        0.00560717,
        0.00586725,
        0.0058963,
        0.00554056,
        0.00531526,
        0.00558322,
        0.00488899,
        0.00492889,
        0.00489599,
        0.00471705,
        0.00468401,
        0.00528788,
        0.00601232,
        0.00606046,
        0.00515292,
        0.0048354,
        0.00574537,
        0.00528312,
        0.00543128,
        0.00560783,
        0.00533663,
        0.00518777,
        0.00594603,
        0.00536161,
        0.00559786,
        0.00613739,
        0.00616388,
        0.00546998,
        0.00486623,
        0.00554765,
        0.00533899,
        0.00512145,
        0.00484785,
        0.0043804,
        0.00474857,
        0.00593533,
        0.00537668,
        0.0050999,
        0.00526185,
        0.0041823,
        0.00466229,
        0.00471052,
        0.00457282,
        0.00481664,
        0.00525958,
        0.00407623,
        0.00516543,
        0.00575756,
        0.00553373,
        0.00516495,
        0.00554639,
        0.00606453,
        0.00572045,
        0.00540376,
        0.00523378,
        0.00526023,
        0.0055252,
        0.0052307,
        0.00575106,
        0.00529878,
        0.00484271,
        0.00541526,
        0.00554684,
        0.00476644,
        0.00471739,
        0.00480058,
        0.00494156,
        0.00539152,
        0.00549432,
        0.00606121,
        0.00606533,
        0.00559643,
        0.00514701,
        0.00538333,
        0.00558243,
        0.00503627,
        0.00540842,
        0.00498248,
        0.0058713,
        0.00624936,
        0.00611794,
        0.00575176,
        0.0051959,
        0.00490561,
        0.00507851,
        0.0051742,
        0.00530703,
        0.00553422,
        0.00465733,
        0.00525897,
        0.00548061,
        0.00554838,
        0.00562312,
        0.00569873,
        0.00619814,
        0.0056432,
        0.00536206,
        0.00541717,
        0.00549841,
        0.00521392,
        0.00621623,
        0.00637594,
        0.00667745,
        0.0071904,
        0.00755301,
        0.00751804,
        0.00898292,
        0.009942,
        0.0109686,
        0.0117273,
        0.0110528,
        0.00915947,
        0.00689385,
        0.00646351,
        0.00643877,
        0.0058205,
        0.00585992,
        0.00512268,
        0.00491105,
        0.00515258,
        0.00505678,
        0.00416826,
        0.00404319,
        0.00449415,
        0.00563932,
        0.00571146,
        0.004946,
        0.00508628,
        0.00499885,
        0.00434273,
        0.00440538,
        0.00486635,
        0.0051432,
        0.00484539,
        0.00471239,
        0.00491602,
        0.00493924,
        0.00531153,
        0.00630952,
        0.006192,
        0.00653467,
        0.00678288,
        0.00778266,
        0.0087656,
        0.00821215,
        0.00773857,
        0.00657012,
        0.00575805,
        0.00505338,
        0.00476711,
        0.00599398,
        0.00623948,
        0.00551977,
        0.00494798,
        0.00470843,
        0.00481305,
        0.00562414,
        0.00513313,
        0.00500582,
        0.00488057,
        0.00472791,
        0.0048072,
        0.00564654,
        0.00562813,
        0.00550129,
        0.00548684,
        0.00539228,
        0.00479163,
        0.00446435,
        0.0047072,
        0.00474433,
        0.00472337,
        0.00493897,
        0.00546749,
        0.00543117,
        0.00564434,
        0.00546461,
        0.00533373,
        0.00579546,
        0.0061217,
        0.00576156,
        0.00553736,
        0.00545436,
        0.00521169,
        0.00457667,
        0.00484252,
        0.00553143,
        0.00507566,
        0.00530978,
        0.00640767,
        0.00594553,
        0.00522214,
        0.00523266,
        0.00537756,
        0.00534105,
        0.00503681,
        0.0046501,
        0.00497742,
        0.00566551,
        0.00558764,
        0.00527373,
        0.00569666,
        0.00588617,
        0.00533471,
        0.00547368,
        0.00548817,
        0.00503317,
        0.00447942,
        0.00491296,
        0.00525787,
        0.00482041,
        0.00465768,
        0.0051139,
        0.0051038,
        0.00492786,
        0.00498285,
        0.00539565,
        0.00566648,
        0.00547381,
        0.00540168,
        0.00495949,
        0.00470385,
        0.00445616,
        0.00443964,
        0.00478488,
        0.00444245,
        0.00476109,
        0.00475358,
        0.00449142,
        0.00414125,
        0.00388671,
        0.00425399,
        0.00462705,
        0.00467953,
        0.00489546,
        0.00503911,
        0.00395629,
        0.00476808,
        0.00527324,
        0.00509177,
        0.00476759,
        0.00479742,
        0.00488787,
        0.00541582,
        0.00505133,
        0.00500197,
        0.00528682,
        0.0052728,
        0.00426944,
        0.00415672,
        0.00487545,
        0.00518732,
        0.00483706,
        0.00441935,
        0.00414831,
        0.00426243,
        0.00415585,
        0.00429837,
        0.00458002,
        0.00424125,
        0.00477393,
        0.00458215,
        0.00455744,
        0.00441699,
        0.00423267,
        0.00506414,
        0.00463293,
        0.00495045,
        0.00505664,
        0.00510096,
        0.00515427,
        0.00391809,
        0.00454726,
        0.00437989,
        0.0041839,
        0.00425034,
        0.00444894,
        0.00439702,
        0.00393917,
        0.00423546,
        0.00443507,
        0.00432556,
        0.00431452,
        0.00416387,
        0.00463866,
        0.00454133,
        0.00410239,
        0.00390391,
        0.00444622,
        0.00474853,
        0.00472887,
        0.00497267,
        0.00503995,
        0.00456216,
        0.00388438,
        0.0048055,
        0.0052088,
        0.00506885,
        0.00468953,
        0.00445228,
        0.00460657,
        0.00421122,
        0.00453671,
        0.00460471,
        0.00454013,
        0.00478244,
        0.0043097,
        0.00418093,
        0.00421603,
        0.00410634,
        0.00436628,
        0.00557526,
        0.00461606,
        0.00444972,
        0.0044271,
        0.00455848,
        0.00456493,
        0.00400919,
        0.00454572,
        0.00467303,
        0.00491954,
        0.00487844,
        0.00470391,
        0.00549115,
        0.00450018,
        0.00502547,
        0.00507144,
        0.00470847,
        0.00459678,
        0.00503256,
        0.0047998,
        0.00476738,
        0.00479423,
        0.00471757,
        0.00480175,
        0.00636619,
        0.00574716,
        0.00494333,
        0.00479293,
        0.00465914,
        0.00373576,
        0.00420922,
        0.00439315,
        0.00396692,
        0.00400801,
        0.00480651,
        0.00561421,
        0.00429912,
        0.0044928,
        0.00492975,
        0.00525281,
        0.00501083,
        0.00392545,
        0.00468774,
        0.00442433,
        0.00458217,
        0.00456103,
        0.00458076,
        0.00605881,
        0.00552776,
        0.00515467,
        0.00468525,
        0.0045223,
        0.00471867,
        0.00451293,
        0.00381568,
        0.00420532,
        0.0044608,
        0.00441093,
        0.00434978,
        0.00466982,
        0.00428705,
        0.00488559,
        0.00518221,
        0.00469954,
        0.00381445,
        0.00397711,
        0.00431997,
        0.00447169,
        0.00443885,
        0.00442919,
        0.00471023,
        0.0054029,
        0.00481099,
        0.0047822,
        0.00481897,
        0.00483166,
        0.00503886,
        0.00501145,
        0.0053904,
        0.00468025,
        0.00450971,
        0.00506227,
        0.0050879,
        0.00530919,
        0.00471748,
        0.00452439,
        0.00455523,
        0.00482689,
        0.00560357,
        0.00449436,
        0.00471406,
        0.00477497,
        0.0047113,
        0.00489003,
        0.00553292,
        0.00509313,
        0.00509168,
        0.00532485,
        0.00549968,
        0.0053158,
        0.00460747,
        0.00514378,
        0.00513831,
        0.00529255,
        0.00527786,
        0.0048244,
        0.00449773,
        0.00490259,
        0.00494216,
        0.00461624,
        0.00436742,
        0.00408256,
        0.00419089,
        0.00483069,
        0.00559764,
        0.00487594,
        0.00450657,
        0.00484283,
        0.00515582,
        0.00520077,
        0.00491534,
        0.00553138,
        0.00560236,
        0.00515966,
        0.0052369,
        0.00579699,
        0.00532519,
        0.00530532,
        0.00520464,
        0.0049689,
        0.00507221,
        0.00585364,
        0.00529459,
        0.00540706,
        0.00525394,
        0.00480748,
        0.00499211,
        0.00474718,
        0.00560507,
        0.00549612,
        0.00512636,
        0.00509434,
        0.00529557,
        0.00478841,
        0.00517212,
        0.00488152,
        0.00446806,
        0.00460231,
        0.005414,
        0.00500732,
        0.00484691,
        0.00519671,
        0.00508563,
        0.0043083,
        0.00387699,
        0.00446576,
        0.00466529,
        0.00520282,
        0.00521958,
        0.00466013,
        0.00482738,
        0.00512977,
        0.00487113,
        0.00467029,
        0.00497461,
        0.00538025,
        0.00458762,
        0.00478514,
        0.00461064,
        0.00485365,
        0.00493863,
        0.00468907,
        0.00498028,
        0.00429442,
        0.00543956,
        0.00562439,
        0.00530437,
        0.00510801,
        0.00442684,
        0.00427286,
        0.00452963,
        0.00491074,
        0.00479956,
        0.00437709,
        0.00507865,
        0.00483883,
        0.00545826,
        0.0056625,
        0.00558486,
        0.00550251,
        0.00511725,
        0.00476143,
        0.00535368,
        0.00540936,
        0.00541477,
        0.00597022,
        0.00663191,
        0.00629042,
        0.00595802,
        0.00598465,
        0.0060539,
        0.00574571,
        0.00496714,
        0.00431159,
        0.00462715,
        0.00528395,
        0.00525878,
        0.00450336,
        0.00481104,
        0.00517189,
        0.00505756,
        0.00515122,
        0.00502082,
        0.00472986,
        0.0059059,
        0.00519566,
        0.00533348,
        0.00576298,
        0.00591616,
        0.00581392,
        0.00644816,
        0.00712015,
        0.00720468,
        0.00781587,
        0.00538579,
        0.00583328,
        0.00572305,
        0.00526371,
        0.00573678,
        0.00583967,
        0.00548647,
        0.00527141,
        0.00549747,
        0.00558716,
        0.00570756,
        0.00632343,
        0.00681654,
        0.00729543,
        0.00823974,
        0.010191,
        0.0114099,
        0.0106318,
        0.00902719,
        0.00755453,
        0.00685202,
        0.00695957,
        0.00528866,
        0.00547184,
        0.00610359,
        0.0062405,
        0.00557259,
        0.00461035,
        0.00517101,
        0.00590462,
        0.00567842,
        0.00559206,
        0.0058762,
        0.00498684,
        0.00479712,
        0.00448893,
        0.00496498,
        0.00522147,
        0.00488998,
        0.00495519,
        0.00516221,
        0.00547515,
        0.00541763,
        0.00492569,
        0.00439632,
        0.00451129,
        0.00500256,
        0.00502034,
        0.00492489,
        0.00518284,
        0.00535282,
        0.00441119,
        0.00477122,
        0.00459301,
        0.00487526,
        0.00516629,
        0.00524526,
        0.00524117,
        0.00433803,
        0.00450402,
        0.00546721,
        0.0054119,
        0.00468308,
        0.00511019,
        0.0042586,
        0.00490991,
        0.00468343,
        0.00494251,
        0.00550406,
        0.00506612,
        0.00463171,
        0.0047828,
        0.00448155,
        0.00433789,
        0.0045916,
        0.00507648,
        0.00561382,
        0.00493016,
        0.00461738,
        0.00479715,
        0.00493753,
        0.00464224,
        0.00511394,
        0.00576903,
        0.00601898,
        0.00540903,
        0.00478818,
        0.00497471,
        0.00463985,
        0.00520484,
        0.0053756,
        0.00532812,
        0.00513676,
        0.00490478,
        0.00496444,
        0.00490865,
        0.00495291,
        0.00504152,
        0.00501793,
        0.00501406,
        0.005664,
        0.00488152,
        0.00505878,
        0.00505498,
        0.00473965,
        0.00457039,
        0.00518145,
        0.00448913,
        0.00429479,
        0.00449268,
        0.00483345,
        0.00495742,
        0.00454135,
        0.0044597,
        0.00421833,
        0.00417919,
        0.00424108,
        0.00447527,
        0.00503888,
        0.00414778,
        0.00494511,
        0.00584884,
        0.00579548,
        0.0051697,
        0.00528508,
        0.00462396,
        0.00465988,
        0.00520451,
        0.00531406,
        0.00507455,
        0.00523184,
        0.00515809,
        0.00520354,
        0.00481855,
        0.00497756,
        0.00520871,
        0.00469324,
        0.00509837,
        0.00466962,
        0.00469476,
        0.00461971,
        0.00444618,
        0.00447608,
        0.00477139,
        0.00500114,
        0.00485667,
        0.00453077,
        0.00460026,
        0.00499759,
        0.00415863,
        0.00419289,
        0.00442037,
        0.0052524,
        0.00563835,
        0.00495682,
        0.00417648,
        0.00420505,
        0.00422818,
        0.00438186,
        0.00452461,
        0.00454513,
        0.00447469,
        0.00429935,
        0.00507858,
        0.00440455,
        0.00463415,
        0.00486785,
        0.0051558,
        0.00522041,
        0.00485265,
        0.0049072,
        0.00474409,
        0.00501958,
        0.00551688,
        0.00561278,
        0.00542563,
        0.00415736,
        0.00449166,
        0.00521507,
        0.00507315,
        0.0040962,
        0.00476662,
        0.0043717,
        0.00408781,
        0.00429574,
        0.00450255,
        0.00450988,
        0.00505905,
        0.00412052,
        0.00485134,
        0.00464415,
        0.00399355,
        0.00383575,
        0.00438087,
        0.00424681,
        0.00474524,
        0.00538047,
        0.00496541,
        0.00398724,
        0.00410757,
        0.00381206,
        0.00435306,
        0.00484194,
        0.00500951,
        0.00468826,
        0.0040634,
        0.00444756,
        0.0046229,
        0.00490145,
        0.00511622,
        0.00513048,
        0.00498758,
        0.00504813,
        0.00475633,
        0.00406734,
        0.00401802,
        0.00398436,
        0.00409272,
        0.00439634,
        0.00461715,
        0.00500804,
        0.00519294,
        0.00464316,
        0.00465186,
        0.00486104,
        0.00383771,
        0.00434692,
        0.00450587,
        0.00534954,
        0.00531365,
        0.00460324,
        0.004511,
        0.00502603,
        0.004551,
        0.0048316,
        0.00502397,
        0.00465382,
        0.00407461,
        0.00466055,
        0.00479356,
        0.00421993,
        0.00422803,
        0.00441859,
        0.0042791,
        0.00410467,
        0.00498276,
        0.00441026,
        0.00438836,
        0.00449326,
        0.00461447,
        0.00516604,
        0.00428054,
        0.00495768,
        0.00508716,
        0.00497193,
        0.00491163,
        0.00484138,
        0.00435128,
        0.00445091,
        0.00514925,
        0.00535208,
        0.00507626,
        0.00472408,
        0.00407759,
        0.00477615,
        0.00455497,
        0.00467797,
        0.00472721,
        0.00459453,
        0.00537216,
        0.00489081,
        0.00588202,
        0.00598232,
        0.00539417,
        0.00488694,
        0.00500174,
        0.00508305,
        0.00436489,
        0.00493435,
        0.00572027,
        0.00637151,
        0.00689774,
        0.00584141,
        0.00510981,
        0.00515595,
        0.00548351,
        0.00526079,
        0.00438144,
        0.00435633,
        0.00518138,
        0.00491116,
        0.00535637,
        0.00563681,
        0.00536766,
        0.00579134,
        0.00637403,
        0.00514027,
        0.00524136,
        0.00545762,
        0.00530895,
        0.00547893,
        0.00516103,
        0.00510987,
        0.00510686,
        0.0053062,
        0.0054447,
        0.00523869,
        0.00512158,
        0.00546647,
        0.00533864,
        0.00524926,
        0.00535111,
        0.00535745,
        0.0047228,
        0.00509845,
        0.00509449,
        0.00596357,
        0.00614349,
        0.00552419,
        0.00574856,
        0.00586819,
        0.0060467,
        0.00632331,
        0.00676086,
        0.00706534,
        0.00680288,
        0.00592886,
        0.00543315,
        0.00595743,
        0.00629001,
        0.00691379,
        0.00850889,
        0.0104502,
        0.01215,
        0.0111312,
        0.0094029,
        0.00834161,
        0.0077845,
        0.0064503,
        0.006394,
        0.00612656,
        0.00574211,
        0.0054451,
        0.00576997,
        0.0067587,
        0.00618497,
        0.00560114,
        0.00479171,
        0.00477479,
        0.00574944,
        0.00673996,
        0.00571906,
        0.0052676,
        0.00634632,
        0.006146,
        0.00569198,
        0.00558307,
        0.00492561,
        0.00521731,
        0.00509676,
        0.00488784,
        0.00490867,
        0.00501447,
        0.00489733,
        0.0048877,
        0.00523286,
        0.00574267,
        0.00567155,
        0.00525678,
        0.00516476,
        0.0057904,
        0.00556719,
        0.00519076,
        0.00503851,
        0.00547468,
        0.00612568,
        0.00614145,
        0.00619139,
        0.00654551,
        0.00558393,
        0.00496543,
        0.00495483,
        0.00489929,
        0.00499561,
        0.00541485,
        0.00544935,
        0.00550054,
        0.00510839,
        0.00444668,
        0.00502605,
        0.00458739,
        0.00547515,
        0.00549106,
        0.00560799,
        0.0057736,
        0.00505783,
        0.00572499,
        0.0052752,
        0.00553284,
        0.00526012,
        0.00469048,
        0.00486964,
        0.00623806,
        0.00573172,
        0.00472812,
        0.00498759,
        0.00531951,
        0.0074269,
        0.00587032,
        0.00628156,
        0.00664325,
        0.00765766,
        0.00737666,
        0.00593121,
        0.00503694,
        0.00618511,
        0.00576438,
        0.00522285,
        0.00577887,
        0.0063282,
        0.00599928,
        0.00540696,
        0.00554693,
        0.00519843,
        0.00511328,
        0.00540117,
        0.00563837,
        0.00561825,
        0.00679268,
        0.00557689,
        0.00472171,
        0.00497562,
        0.00520893,
        0.00520942,
        0.00693678,
        0.00678961,
        0.00584261,
        0.00552983,
        0.00528195,
        0.00511853,
        0.00580292,
        0.00751991,
        0.00728918,
        0.00886648,
        0.0102917,
        0.00981568,
        0.00823139,
        0.00947802,
        0.0066422,
        0.00652199,
        0.00657824,
        0.00591392,
        0.00509549,
        0.00532856,
        0.00601561,
        0.0058262,
        0.00555306,
        0.00529176,
        0.00546369,
        0.00606137,
        0.00584402,
        0.00573781,
        0.005798,
        0.00554162,
        0.00531527,
        0.00523479,
        0.00680087,
        0.00746051,
        0.00608246,
        0.00945299,
        0.00887042,
        0.00710012,
        0.00743665,
        0.00851817,
        0.00925018,
        0.00935412,
        0.00881098,
        0.00803529,
        0.00759818,
        0.00784978,
        0.0084785,
        0.0096033,
        0.0130334,
        0.0153364,
        0.0132693,
        0.00928198,
        0.00751275,
        0.00647237,
        0.00599998,
        0.00647063,
        0.00606239,
        0.0051424,
        0.00529176,
        0.00577787,
        0.00580405,
        0.00567215,
        0.00645139,
        0.00509947,
        0.00570171,
        0.00589294,
        0.00584056,
        0.00657435,
        0.00597316,
        0.00642062,
        0.00625448,
        0.00614627,
        0.00655676,
        0.00701602,
        0.0063569,
        0.00518757,
        0.00579998,
        0.0060213,
        0.00586075,
        0.00557666,
        0.00558782,
        0.00650009,
        0.00590169,
        0.00574358,
        0.00559921,
        0.00512839,
        0.00443366,
        0.00412984,
        0.0052931,
        0.00568592,
        0.00489841,
        0.00453405,
        0.00483933,
        0.00521315,
        0.00517042,
        0.0047151,
        0.00534706,
        0.00519803,
        0.00515329,
        0.00529779,
        0.00495052,
        0.00603139,
        0.00465913,
        0.00519664,
        0.00485384,
        0.00438445,
        0.00488414,
        0.00502416,
        0.00530872,
        0.0050059,
        0.00447883,
        0.00445837,
        null,
        0.00501783,
        0.00556504,
        0.00611225,
        0.00665946,
        0.00622929,
        0.00655337,
        0.00697586,
        0.00671151,
        0.00699514,
        0.00728571,
        0.00715429,
        0.00655359,
        0.00646025,
        0.00685871,
        0.00709028,
        0.00677148,
        0.0070646,
        0.00657621,
        0.00696478,
        0.00665874,
        0.00594142,
        0.00570002,
        0.00602372,
        0.00630601,
        0.00695768,
        0.00655731,
        0.00619762,
        0.00586999,
        0.00573753,
        0.00645072,
        0.00590644,
        0.00581181,
        0.00531609,
        0.00583432,
        0.00625335,
        0.00594459,
        0.0061043,
        0.00687867,
        0.0063927,
        0.00600539,
        0.00564574,
        0.00574598,
        0.00628941,
        0.0065197,
        0.00568789,
        0.00598794,
        0.0059312,
        0.00562424,
        0.00531445,
        0.00566789,
        0.00681074,
        0.00602267,
        0.00637054,
        0.00601702,
        0.00540097,
        0.00535064,
        0.00643899,
        0.00783664,
        0.00616947,
        0.00642496,
        0.00675136,
        0.0074302,
        0.00854485,
        0.00926182,
        0.00899815,
        0.00923244,
        0.00806307,
        0.00853563,
        0.00786753,
        0.00749011,
        0.00765286,
        0.00745088,
        0.00700604,
        0.00818375,
        0.0079277,
        0.00834648,
        0.00828141,
        0.00787892,
        0.00800487,
        0.00839818,
        0.00760261,
        0.00905804,
        0.00876622,
        0.00820269,
        0.00774822,
        0.00725406,
        0.00728862,
        0.00820593,
        0.00952709,
        0.00863495,
        0.00788487,
        0.00800773,
        0.00819341,
        0.00761727,
        0.00864352,
        0.00790895,
        0.00865957,
        0.00883878,
        0.00808516,
        0.00738075,
        0.00775748,
        0.00844546,
        0.00883673,
        0.00747199,
        0.00687764,
        0.00687418,
        0.0068764,
        0.00700984,
        0.00795469,
        0.00877491,
        0.00737869,
        0.00713427,
        0.00721334,
        0.00755729,
        0.00857865,
        0.00860527,
        0.0073234,
        0.00680699,
        0.00723657,
        0.00720115,
        0.0073401,
        0.00799027,
        0.00690169,
        0.00890353,
        0.00726928,
        0.00734597,
        0.0071872,
        0.00728265,
        0.00718027,
        0.00660845,
        0.00689422,
        0.00752259,
        0.00773251,
        0.00774331,
        0.00767182,
        0.00725785,
        0.00645043,
        0.008228,
        0.00753412,
        0.00731589,
        0.00805125,
        0.00837014,
        0.00753159,
        0.00778593,
        0.00770408,
        0.0075548,
        0.00689548,
        0.0070681,
        0.00709023,
        0.00625105,
        0.0064373,
        0.0065011,
        0.00692322,
        0.00678446,
        0.00712827,
        0.00698709,
        0.00647127,
        0.00718399,
        0.00669741,
        0.00661696,
        0.00614647,
        0.006725,
        0.00696583,
        0.00662112,
        0.0067712,
        0.0063512,
        0.00638479,
        0.00591704,
        0.00578435,
        0.00590667,
        0.00594871,
        0.00579956,
        0.00585804,
        0.00656427,
        0.00746003,
        0.00752038,
        0.00681142,
        0.00620428,
        0.00621562,
        0.00635036,
        0.0065032,
        0.0059236,
        0.00622541,
        0.00690967,
        0.00749596,
        0.00741288,
        0.0064783,
        0.00633767,
        0.00631076,
        0.00725602,
        0.0069152,
        0.00643647,
        0.00759435,
        0.00966649,
        0.00769126,
        0.00650071,
        0.00753345,
        0.00756943,
        0.00736799,
        0.00720869,
        0.00678941,
        0.00624804,
        0.00676469,
        0.00659744,
        0.00628376,
        0.00605816,
        0.00654598,
        0.00727197,
        0.00693917,
        0.00647238,
        0.00751328,
        0.00745402,
        0.00632719,
        0.00595847,
        0.00627914,
        0.00605397,
        0.00631152,
        0.00757035,
        0.00796869,
        0.00706748,
        0.00669052,
        0.00711914,
        0.0075527,
        0.00750814,
        0.00683625,
        0.0067289,
        0.00615221,
        0.00613519,
        0.00636468,
        0.00609105,
        0.00530381,
        0.00548111,
        0.00661744,
        0.00622881,
        0.00669006,
        0.00624057,
        0.00570432,
        0.00677564,
        0.0067807,
        0.00704893,
        0.00730967,
        0.006641,
        0.00694823,
        0.00749097,
        0.00691948,
        0.00609769,
        0.00777726,
        0.0085114,
        0.00757538,
        0.00686627,
        0.00673784,
        0.00703396,
        0.0073397,
        0.00614003,
        0.00590704,
        0.00658809,
        0.00675142,
        0.00694575,
        0.00699125,
        0.00652894,
        0.00627968,
        0.00607929,
        0.00652467,
        0.00668046,
        0.006827,
        0.00664429,
        0.00642706,
        0.00683562,
        0.00558087,
        0.0068426,
        0.00696517,
        0.00657676,
        0.00668919,
        0.00712711,
        0.00694001,
        0.00590678,
        0.00551961,
        0.00571322,
        0.00624879,
        0.00688346,
        0.00675944,
        0.00595287,
        0.00593424,
        0.00599955,
        0.00589808,
        0.00636133,
        0.0061007,
        0.00580153,
        0.00579948,
        0.00573396,
        0.00601619,
        0.00602587,
        0.00571494,
        0.00595318,
        0.00622004,
        0.00654002,
        0.00685007,
        0.00652474,
        0.00668838,
        0.00568616,
        0.00677751,
        0.00658687,
        0.00587429,
        0.00575025,
        0.00603127,
        0.00667618,
        0.00619483,
        0.00583075,
        0.00587807,
        0.00640429,
        0.006623,
        0.00606471,
        0.00568759,
        0.00704145,
        0.00629827,
        0.00633363,
        0.00630224,
        0.00588323,
        0.00558541,
        0.0060235,
        0.00662474,
        0.00623401,
        0.00579291,
        0.00610167,
        0.00641034,
        0.00618797,
        0.00565025,
        0.00550623,
        0.00597659,
        0.00541553,
        0.00618565,
        0.00647784,
        0.0060652,
        0.00588983,
        0.00639655,
        0.00584207,
        0.0067999,
        0.00600296,
        0.00531019,
        0.00490588,
        0.00511802,
        0.00579277,
        0.00590943,
        0.00683108,
        0.00748438,
        0.0071378,
        0.00714879,
        0.00706877,
        0.00640306,
        0.00582678,
        0.00687818,
        0.00583861,
        0.00554113,
        0.00660077,
        0.0068239,
        0.0058675,
        0.00525574,
        0.00617098,
        0.00582809,
        0.00572702,
        0.00596782,
        0.00655729,
        0.00655398,
        0.00654232,
        0.00732746,
        0.00684799,
        0.00819842,
        0.00731477,
        0.00689644,
        0.00808404,
        0.00821912,
        0.00690052,
        0.00751063,
        0.00776486,
        0.00680984,
        0.00655903,
        0.0066167,
        0.00629624,
        0.00626427,
        0.00686135,
        0.00624757,
        0.00566588,
        0.00626008,
        0.00613958,
        0.00616029,
        0.00631928,
        0.00636724,
        0.00626391,
        0.00543693,
        0.0058956,
        0.00565363,
        0.0058196,
        0.00585636,
        0.00599768,
        0.00627257,
        0.00574005,
        0.00579311,
        0.00562047,
        0.0062057,
        0.00675887,
        0.00670486,
        0.00685761,
        0.00771969,
        0.00686334,
        0.00645048,
        0.00674481,
        0.00672514,
        0.00690116,
        0.00673416,
        0.00615628,
        0.00596392,
        0.00485199,
        0.00572331,
        0.00682042,
        0.00705091,
        0.00677694,
        0.00624939,
        0.00589007,
        0.00670306,
        0.00650328,
        0.00561661,
        0.00595764,
        0.0063182,
        0.00638528,
        0.00616715,
        0.00588497,
        0.00642364,
        0.00621151,
        0.00639656,
        0.00578755,
        0.00593151,
        0.00637022,
        0.00601813,
        0.00527372,
        0.00623577,
        0.00673084,
        0.00654238,
        0.00646775,
        0.0063828,
        0.0062791,
        0.00640464,
        0.00680503,
        0.00617183,
        0.00603837,
        0.00587982,
        0.00519656,
        0.00493553,
        0.00544279,
        0.0057939,
        0.00498971,
        0.00638699,
        0.00636416,
        0.00610832,
        0.00643672,
        0.00653157,
        0.00606335,
        0.00591184,
        0.00523757,
        0.00524519,
        0.0059699,
        0.00585974,
        0.00618328,
        0.0062871,
        0.00540411,
        0.00602819,
        0.00641061,
        0.00634553,
        0.00597016,
        0.00594149,
        0.00644276,
        0.00545925,
        0.00654717,
        0.00583521,
        0.00641599,
        0.0072391,
        0.0074914,
        0.00705785,
        0.00642726,
        0.00720636,
        0.006237,
        0.00729998,
        0.00639933,
        0.00591997,
        0.0065726,
        0.00710015,
        0.00708791,
        0.00708801,
        0.00549472,
        0.0057774,
        0.00739954,
        0.00809492,
        0.00809081,
        0.00851381,
        0.00780032,
        0.00834838,
        0.00753808,
        0.0080136,
        0.00757598,
        0.00710662,
        0.00703954,
        0.00682117,
        0.00788098,
        0.00802676,
        0.0080944,
        0.00936734,
        0.010264,
        0.0090105,
        0.0068971,
        0.0068983,
        0.00625291,
        0.00672998,
        0.00624288,
        0.0059491,
        0.00627567,
        0.00638936,
        0.00624573,
        0.00690405,
        0.00620689,
        0.00559767,
        0.00585201,
        0.00526441,
        0.00520715,
        0.0055187,
        0.00544233,
        0.00559365,
        0.00570105,
        0.006663,
        0.00672842,
        0.00653939,
        0.00626465,
        0.00633112,
        0.00669077,
        0.00611885,
        0.00550419,
        0.00587515,
        0.00600273,
        0.00549204,
        0.0058922,
        0.00690657,
        0.00697699,
        0.00663482,
        0.00654564,
        0.00585475,
        0.00512204,
        0.00555748,
        0.00589759,
        0.00552107,
        0.00529192,
        0.00554046,
        0.00572579,
        0.00613026,
        0.00595275,
        0.00629638,
        0.00638275,
        0.00570903,
        0.00539033,
        0.00695841,
        0.00671688,
        0.0062649,
        0.00582709,
        0.00597174,
        0.00636034,
        0.0063982,
        0.00610787,
        0.00635898,
        0.00571711,
        0.00623464,
        0.00682294,
        0.00611624,
        0.00572666,
        0.00631293,
        0.00636825,
        0.00652122,
        0.0064968,
        0.00679254,
        0.00681434,
        0.00634354,
        0.00635153,
        0.00635064,
        0.00535712,
        0.00593584,
        0.00600867,
        0.00603177,
        0.00598778,
        0.00608747,
        0.00699125,
        0.00588874,
        0.00619014,
        0.0060563,
        0.00633995,
        0.00637209,
        0.00623035,
        0.0063999,
        0.00673211,
        0.00656315,
        0.00678244,
        0.00708427,
        0.0068788,
        0.00714535,
        0.00723655,
        0.00665506,
        0.00683657,
        0.00728271,
        0.0101149,
        0.0124788,
        0.0157609,
        0.013824,
        0.0106615,
        0.00881512,
        0.00848266,
        0.00892146,
        0.00770854,
        0.00723252,
        0.00683505,
        0.00635624,
        0.00621266,
        0.0060097,
        0.0064289,
        0.00749565,
        0.00746907,
        0.0063979,
        0.00635836,
        0.00563737,
        0.00567509,
        0.00653613,
        0.00673134,
        0.00573745,
        0.00518496,
        0.00568731,
        0.00629848,
        0.00603385,
        0.00578133,
        0.00601917,
        0.00598773,
        0.00556894,
        0.00595875,
        0.00653283,
        0.00672886,
        0.00682845,
        0.00647831,
        0.00634737,
        0.0060954,
        0.00570026,
        0.00613862,
        0.00739431,
        0.00707735,
        0.00716562,
        0.00810104,
        0.00811125,
        0.00796328,
        0.0084307,
        0.00847046,
        0.0073001,
        0.00724154,
        0.00716718,
        0.00711275,
        0.00686488,
        0.00622942,
        0.00569039,
        0.00596021,
        0.00637343,
        0.00608066,
        0.00625919,
        0.00630868,
        0.00653124,
        0.00676293,
        0.00690559,
        0.00668968,
        0.00514288,
        0.00594671,
        0.00662678,
        0.00748534,
        0.00723633,
        0.00717598,
        0.0077291,
        0.00800866,
        0.00816045,
        0.00753588,
        0.00622672,
        0.00593601,
        0.00643225,
        0.00658257,
        0.00640353,
        0.00657357,
        0.00686814,
        0.00692048,
        0.00609296,
        0.00644064,
        0.00590249,
        0.0056859,
        0.00614546,
        0.0063962,
        0.00617074,
        0.00650906,
        0.00640027,
        0.00602552,
        0.00578564,
        0.0061001,
        0.00662197,
        0.00668283,
        0.0062066,
        0.00624067,
        0.00571154,
        0.00586118,
        0.00604104,
        0.00573864,
        0.00576464,
        0.00611884,
        0.00564436,
        0.0050805,
        0.00555753,
        0.00652287,
        0.00651227,
        0.0061419,
        0.00576407,
        0.00598261,
        0.00678082,
        0.00607482,
        0.00653814,
        0.00543714,
        0.00585033,
        0.00598689,
        0.00636078,
        0.00583391,
        0.00609136,
        0.00619463,
        0.00589131,
        0.00579904,
        0.00603635,
        0.00576879,
        0.00560236,
        0.00564479,
        0.00607035,
        0.00614648,
        0.00593373,
        0.00584799,
        0.00606397,
        0.00681929,
        0.00553876,
        0.00711276,
        0.00670296,
        0.00591161,
        0.00575058,
        0.00601451,
        0.00616236,
        0.00638141,
        0.00737961,
        0.00673567,
        0.00714574,
        0.00686167,
        0.00609564,
        0.00561701,
        0.00566973,
        0.00582563,
        0.00479621,
        0.00588963,
        0.00679811,
        0.00638862,
        0.00599198,
        0.00631175,
        0.00690026,
        0.00681962,
        0.00546734,
        0.00549938,
        0.00654536,
        0.005926,
        0.00584689,
        0.00599325,
        0.0059074,
        0.00602013,
        0.00648267,
        0.00658832,
        0.00599604,
        0.00588725,
        0.00626768,
        0.00765572,
        0.0065,
        0.00602242,
        0.00634514,
        0.00683674,
        0.00696887,
        0.00665493,
        0.00713661,
        0.00673026,
        0.00666326,
        0.00675691,
        0.00675907,
        0.00620092,
        0.00546921,
        0.00570354,
        0.00709209,
        0.00709589,
        0.00601553,
        0.00624922,
        0.00672506,
        0.00657572,
        0.00654749,
        0.00732236,
        0.00779662,
        0.00840817,
        0.00731876,
        0.0075159,
        0.00736223,
        0.00712375,
        0.00700758,
        0.00648104,
        0.00540322,
        0.00631379,
        0.00625661,
        0.00671424,
        0.00700021,
        0.00629979,
        0.00577777,
        0.00589532,
        0.00606096,
        0.00620318,
        0.00509556,
        0.00582101,
        0.00551953,
        0.00627885,
        0.00620825,
        0.00624446,
        0.00706513,
        0.00668787,
        0.00635315,
        0.00581423,
        0.00606629,
        0.00587495,
        0.00609014,
        0.00648663,
        0.00649692,
        0.00626004,
        0.00651444,
        0.00660972,
        0.00642311,
        0.00649618,
        0.00683238,
        0.00756718,
        0.0073494,
        0.00629336,
        0.00696783,
        0.00707306,
        0.00916519,
        0.00861511,
        0.00850494,
        0.0078754,
        0.00777964,
        0.00809189,
        0.00740162,
        0.00710525,
        0.00749263,
        0.0064641,
        0.00729129,
        0.00757752,
        0.007155,
        0.00666142,
        0.0065511,
        0.00685095,
        0.00705508,
        0.00626259,
        0.0061261,
        0.00580832,
        0.005609,
        0.00543961,
        0.00590769,
        0.0068513,
        0.00516205,
        0.00543293,
        0.00655016,
        0.00628896,
        0.00588129,
        0.00596913,
        0.00631146,
        0.00630696,
        0.00587992,
        0.00609762,
        0.00559391,
        0.00617461,
        0.00601655,
        0.00637269,
        0.00664799,
        0.00632706,
        0.00605974,
        0.00652462,
        0.00756271,
        0.00703882,
        0.00683635,
        0.0064423,
        0.00674044,
        0.00683959,
        0.00638491,
        0.00663215,
        0.0066911,
        0.00621784,
        0.00663638,
        0.00648706,
        0.00589081,
        0.00594851,
        0.00660526,
        0.00691099,
        0.00659192,
        0.00627374,
        0.00646316,
        0.00742212,
        0.00831342,
        0.00764456,
        0.00716194,
        0.00731717,
        0.00656459,
        0.00634133,
        0.00748082,
        0.00742941,
        0.00754723,
        0.00770999,
        0.00771552,
        0.0082399,
        0.00921513,
        0.00902891,
        0.00734291,
        0.0075643,
        0.00749571,
        0.00817075,
        0.0092563,
        0.00879145,
        0.00793696,
        0.00821762,
        0.00683134,
        0.00721492,
        0.00741578,
        0.0077691,
        0.00722725,
        0.00780157,
        0.00830203,
        0.00814303,
        0.00963279,
        0.0133529,
        0.0133328,
        0.013814,
        0.0134613,
        0.0115312,
        0.00956264,
        0.00870452,
        0.0085331,
        0.00798968,
        0.00721564,
        0.00653146,
        0.0075858,
        0.00687228,
        0.00565595,
        0.00652357,
        0.00596595,
        0.00618044,
        0.00614073,
        0.00655219,
        0.00598667,
        0.00582984,
        0.00569299,
        0.00600436,
        0.00630974,
        0.00587115,
        0.005305,
        0.00662047,
        0.00626641,
        0.00599555,
        0.00584615,
        0.00565232,
        0.0057816,
        0.00589625,
        0.00559384,
        0.00575807,
        0.00692548,
        0.00550948,
        0.00569154,
        0.00635974,
        0.00617463,
        0.00606043,
        0.0061336,
        0.00590815,
        0.00677434,
        0.00626044,
        0.00585696,
        0.00622315,
        0.00640601,
        0.0057566,
        0.00561371,
        0.00631789,
        0.00650554,
        0.00628722,
        0.00622215,
        0.0069929,
        0.00657229,
        0.00577631,
        0.0057341,
        0.00600934,
        0.00652259,
        0.00748709,
        0.00605629,
        0.00767454,
        0.00666463,
        0.00722397,
        0.00653753,
        0.00612938,
        0.0064101,
        0.0063936,
        0.00600589,
        0.0171081,
        0.012351,
        0.0104028,
        0.00868727,
        0.00787526,
        0.00727982,
        0.00720403,
        0.00759625,
        0.00664254,
        0.00706391,
        0.00739564,
        0.00725082,
        0.00729798,
        0.00843726,
        0.00923904,
        0.00850812,
        0.00734137,
        0.00795327,
        0.00781303,
        0.00850848,
        0.00749378,
        0.00681903,
        0.00636374,
        0.00612374,
        0.00596107,
        0.00570785,
        0.0057032,
        0.00646287,
        0.00570363,
        0.0060185,
        0.00620374,
        0.00620653,
        0.00673253,
        0.00718124,
        0.00663633,
        0.00601675,
        0.00564573,
        0.00635749,
        0.0063879,
        0.00670536,
        0.00665631,
        0.00654169,
        0.00627507,
        0.00593452,
        0.00658491,
        0.00641988,
        0.00719451,
        0.00682699,
        0.00617361,
        0.00646645,
        0.00683562,
        0.00647901,
        0.00610384,
        0.00659822,
        0.00543478,
        0.00569436,
        0.00675636,
        0.00641955,
        0.00611622,
        0.00662646,
        0.00697377,
        0.00637306,
        0.00613943,
        0.00730299,
        0.00677038,
        0.0075406,
        0.00684688,
        0.00595447,
        0.00583964,
        0.00600184,
        0.0057911,
        0.00572052,
        0.00623671,
        0.00626306,
        0.00562008,
        0.00539951,
        0.00609273,
        0.00599858,
        0.00552599,
        0.00603211,
        null,
        0.00641583,
        0.00604627,
        0.00633587,
        0.00613027,
        0.00563842,
        0.00600533,
        0.00635636,
        0.00639381,
        0.00639724,
        0.00582505,
        0.00664418,
        0.00786193,
        0.00740043,
        0.00713961,
        0.00713452,
        0.00708978,
        0.00748278,
        0.00616507,
        0.00580685,
        0.0059672,
        0.00557601,
        0.00637246,
        0.00635148,
        0.00619445,
        0.00653472,
        0.00654907,
        0.0057273,
        0.00546252,
        0.0059503,
        0.00538359,
        0.00620954,
        0.00647927,
        0.0055724,
        0.00513011,
        0.00513525,
        0.00531894,
        0.00576509,
        0.0059926,
        0.00584109,
        0.00560789,
        0.00572569,
        0.00559621,
        0.00542118,
        0.00503244,
        0.00472929,
        0.00482385,
        0.00537209,
        0.0057983,
        0.0052814,
        0.00667455,
        0.0054827,
        0.00452897,
        0.00473244,
        0.00546078,
        0.00557106,
        0.00519287,
        0.00525801,
        0.00570676,
        0.00547357,
        0.00578416,
        0.00533452,
        0.0054651,
        0.00492505,
        0.00483753,
        0.00447405,
        0.00444989,
        0.0049188,
        0.00503478,
        0.00467831,
        0.00512767,
        0.00582742,
        0.00512222,
        0.00535426,
        0.00486327,
        0.0049346,
        0.0053794,
        0.00555745,
        0.00533778,
        0.00519993,
        0.00534189,
        0.0053723,
        0.00520007,
        0.0056819,
        0.00579666,
        0.00550908,
        0.00560773,
        0.00541461,
        0.00562101,
        0.00587175,
        0.0060386,
        0.00605222,
        0.00582702,
        0.00581945,
        0.00600919,
        0.00559593,
        0.00520821,
        0.00551314,
        0.00581663,
        0.00605285,
        0.00587612,
        0.00540459,
        0.00566349,
        0.00659294,
        0.00561344,
        0.00581599,
        0.00564276,
        0.00550679,
        0.00600845,
        0.00604163,
        0.00584012,
        0.0056835,
        0.00598927,
        0.00619822,
        0.00513091,
        0.00593302,
        0.00539367,
        0.00535806,
        0.00616089,
        0.00676358,
        0.00639736,
        0.0065867,
        0.00664365,
        0.00622295,
        0.00637829,
        0.00590737,
        0.00632616,
        0.00586366,
        0.00654953,
        0.00619496,
        0.00670969,
        0.00695146,
        0.0067158,
        0.00658249,
        0.00670977,
        0.00696126,
        0.00754021,
        0.0070933,
        0.00617458,
        0.00553906,
        0.00647249,
        0.00603741,
        0.00520563,
        0.00521164,
        0.00572,
        0.00586891,
        0.00552187,
        0.00499066,
        0.0056747,
        0.00564637,
        0.00597358,
        0.00521516,
        0.00544908,
        0.005535,
        0.0055064,
        0.00576656,
        0.00555018,
        0.00481996,
        0.00545835,
        0.00637378,
        0.00531629,
        0.00584027,
        0.00564182,
        0.00571903,
        0.00587653,
        0.00558048,
        0.00559049,
        0.00710229,
        0.00922665,
        0.00845402,
        0.00658245,
        0.00588783,
        0.00598619,
        0.00504777,
        0.00471427,
        0.00528722,
        0.00526484,
        0.00454562,
        0.00461264,
        0.00501126,
        0.00466533,
        0.00502556,
        0.00510632,
        0.00522564,
        0.00547045,
        0.00573415,
        0.00534077,
        0.00519808,
        0.00593709,
        0.00620315,
        0.00543117,
        0.00552374,
        0.00547332,
        0.00588053,
        0.00533877,
        0.00535631,
        0.00609492,
        0.00620217,
        0.00571227,
        0.00533159,
        0.00491659,
        0.00495061,
        0.00503169,
        0.00590163,
        0.00506416,
        0.00458002,
        0.00522127,
        0.00558909,
        0.00598784,
        0.00607182,
        0.00578324,
        0.0059867,
        0.00565223,
        0.00637283,
        0.00639216,
        0.00652512,
        0.00612649,
        0.00531621,
        0.00608273,
        0.00647706,
        0.00602385,
        0.00602256,
        0.00626392,
        0.00583111,
        0.00546029,
        0.00498117,
        0.00627765,
        0.00540642,
        0.00571642,
        0.00617512,
        0.00579294,
        0.00577597,
        0.00649105,
        0.00653766,
        0.00610045,
        0.00572642,
        0.00651976,
        0.00564424,
        0.00624028,
        0.00613339,
        0.00623077,
        0.00597502,
        0.00547998,
        0.00554113,
        0.00599383,
        0.00602666,
        0.00573142,
        0.00637874,
        0.00597778,
        0.00593603,
        0.006083,
        0.00620191,
        0.00626556,
        0.00628125,
        0.00596569,
        0.0059574,
        0.00703841,
        0.00569424,
        0.00683,
        0.005848,
        0.00609732,
        0.00664921,
        0.00690142,
        0.00732909,
        0.00759876,
        0.00760098,
        0.00780295,
        0.00834533,
        0.00922115,
        0.00904729,
        0.0075714,
        0.00779629,
        0.0073882,
        0.0070687,
        0.00689475,
        0.00667164,
        0.00660419,
        0.00687208,
        0.00679133,
        0.0055416,
        0.00525983,
        0.00521137,
        0.00545761,
        0.00583325,
        0.00620746,
        0.0064002,
        0.00620417,
        0.00550415,
        0.00523491,
        0.00566068,
        0.00484679,
        0.00490246,
        0.00536623,
        0.00505091,
        0.00513699,
        0.00509424,
        0.0057914,
        0.00632824,
        0.00606818,
        0.00549478,
        0.00529786,
        0.00548373,
        0.00572577,
        0.00609057,
        0.00483653,
        0.00517073,
        0.00530671,
        0.0050668,
        0.00551408,
        0.00521646,
        0.00481273,
        0.00563672,
        0.00625419,
        0.00555447,
        0.005983,
        0.00559783,
        0.00513256,
        0.00547971,
        0.0054351,
        0.00530332,
        0.00525358,
        0.00518095,
        0.00538342,
        0.00570814,
        0.00538087,
        0.00556379,
        0.00433138,
        0.00558087,
        0.00539821,
        0.00534546,
        0.00604013,
        0.00600152,
        0.00603473,
        0.00626343,
        0.00590078,
        0.00539663,
        0.0054278,
        0.00509789,
        0.00516506,
        0.00614683,
        0.00567372,
        0.00541695,
        0.0052428,
        0.00511082,
        0.00569147,
        0.00623769,
        0.00563867,
        0.00507173,
        0.00567308,
        0.00564731,
        0.00580796,
        0.00671438,
        0.00603414,
        0.0057496,
        0.00545312,
        0.00578756,
        0.00608852,
        0.00597834,
        0.00599201,
        0.00530422,
        0.00511043,
        0.00604639,
        0.00607555,
        0.00549927,
        0.00512662,
        0.00537702,
        0.00569051,
        0.0054278,
        0.00540285,
        0.0061476,
        0.00645704,
        0.0059778,
        0.00627484,
        0.00604803,
        0.00579078,
        0.00523718,
        0.00556491,
        0.00597039,
        0.00545204,
        0.00577653,
        0.00668796,
        0.00660142,
        0.0064808,
        0.00615085,
        0.00634857,
        0.00573612,
        0.00610737,
        0.00595596,
        0.0058781,
        0.0064105,
        0.00659118,
        0.00583337,
        0.00590693,
        0.0061934,
        0.0056289,
        0.00532426,
        0.00588834,
        0.00656573,
        0.00546167,
        0.00503606,
        0.00498218,
        0.00537482,
        0.00559278,
        0.00582371,
        0.005637,
        0.0054359,
        0.00562849,
        0.00555121,
        0.0048178,
        0.00440382,
        0.00539911,
        0.00537614,
        0.00511365,
        0.00526116,
        0.00571124,
        0.00543269,
        0.00532999,
        0.00581156,
        0.00594613,
        0.00531116,
        0.005009,
        0.00606729,
        0.005827,
        0.00612501,
        0.00604848,
        0.00566688,
        0.00507415,
        0.00563307,
        0.00799013,
        0.00874484,
        0.00707865,
        0.00596499,
        0.00495051,
        0.00490855,
        0.00575205,
        0.00573726,
        0.00529191,
        0.00544409,
        0.00491731,
        0.00559046,
        0.00600627,
        0.005977,
        0.00617231,
        0.00616083,
        0.0059665,
        0.00538032,
        0.00559778,
        0.00521437,
        0.00598636,
        0.00584123,
        0.00545289,
        0.00564467,
        0.00559287,
        0.0054678,
        0.00545733,
        0.00541595,
        0.00610925,
        0.00672106,
        0.00519628,
        0.00479295,
        0.00531407,
        0.00597132,
        0.00543457,
        0.00565229,
        0.00618097,
        0.00571477,
        0.00507038,
        0.00542816,
        0.00609192,
        0.00695828,
        0.00580109,
        0.00643573,
        0.00605801,
        0.00595693,
        0.00594925,
        0.006368,
        0.00590505,
        0.00577918,
        0.00625639,
        0.00606345,
        0.00542467,
        0.00537378,
        0.00549719,
        0.00556563,
        0.00587951,
        0.00614907,
        0.00701607,
        0.00675619,
        0.00695382,
        0.00619963,
        0.00706584,
        0.00723498,
        0.00887189,
        0.00805369,
        0.00891715,
        0.00843851,
        0.00836209,
        0.00800619,
        0.00797997,
        0.00813026,
        0.00773118,
        0.00722478,
        0.00707395,
        0.00686972,
        0.00843977,
        0.00722124,
        0.0072229,
        0.00543818,
        0.00588541,
        0.0059859,
        0.00607571,
        0.00578622,
        0.00531595,
        0.00555395,
        0.00593191,
        0.00609004,
        0.00532036,
        0.00533891,
        0.00757489,
        0.00663231,
        0.00633722,
        0.00627478,
        0.00546239,
        0.00521774,
        0.00552815,
        0.00569382,
        0.00603875,
        0.00624858,
        0.00551064,
        0.00607543,
        0.0055734,
        0.00546909,
        0.00524378,
        0.00480672,
        0.0057516,
        0.00613729,
        0.0061695,
        0.00605074,
        0.00531372,
        0.00485627,
        0.00522114,
        0.00482524,
        0.00609554,
        0.00574754,
        0.00588844,
        0.0055805,
        0.00524596,
        0.0055248,
        0.00521545,
        0.0049694,
        0.00530174,
        0.00549723,
        0.00544461,
        0.00545547,
        0.0057424,
        0.00496382,
        0.00472202,
        0.00502746,
        0.00589754,
        0.00568227,
        0.00556022,
        0.00469895,
        0.0045155,
        0.00530742,
        0.0053869,
        0.0050588,
        0.00502601,
        0.00564462,
        0.00577364,
        0.00604236,
        0.00534469,
        0.00542269,
        0.00514093,
        0.00533687,
        0.00637249,
        0.00651105,
        0.00568326,
        0.00552055,
        0.00578494,
        0.00579832,
        0.0057538,
        0.0064779,
        0.00649693,
        0.00512938,
        0.0053253,
        0.00583903,
        0.00616369,
        0.00584122,
        0.00586497,
        0.00599076,
        0.00542103,
        0.00552502,
        0.00567229,
        0.00469176,
        0.00619979,
        0.0058988,
        0.00541444,
        0.00582257,
        0.00597577,
        0.00579149,
        0.00541742,
        0.00537888,
        0.00569211,
        0.00615936,
        0.00653648,
        0.00549751,
        0.0058824,
        0.00565871,
        0.00634341,
        0.00581514,
        0.00624108,
        0.00656997,
        0.00626995,
        0.00556067,
        0.00575244,
        0.00600063,
        0.00561055,
        0.00750773,
        0.00616133,
        0.00579866,
        0.00611356,
        0.00624462,
        0.00578837,
        0.00533739,
        0.00571187,
        0.00559312,
        0.00541106,
        0.00547583,
        0.00552434,
        0.00551258,
        0.00573719,
        0.00617543,
        0.00577931,
        0.00484861,
        0.00493283,
        0.00463734,
        0.00548394,
        0.00516263,
        0.00537245,
        0.00626503,
        0.00573503,
        0.00551861,
        0.00531736,
        0.00504843,
        0.00512503,
        0.00563036,
        0.00619688,
        0.00532554,
        0.00545567,
        0.00514051,
        0.00590101,
        0.00502596,
        0.00449882,
        0.00463407,
        0.00443508,
        0.00529904,
        0.00616472,
        0.00594271,
        0.00573635,
        0.00569303,
        0.00458314,
        0.00499926,
        0.00477236,
        0.00616943,
        0.0052853,
        0.00570792,
        0.00606952,
        0.00592162,
        0.00577714,
        0.00522213,
        0.00558052,
        0.00499235,
        0.0052282,
        0.00525834,
        0.00506233,
        0.00598134,
        0.00609529,
        0.00618305,
        0.00616835,
        0.0059191,
        0.00570654,
        0.00566826,
        0.00607277,
        0.00636194,
        0.0059556,
        0.0055329,
        0.00485547,
        0.00493845,
        0.00559546,
        0.00567029,
        0.00555375,
        0.00507388,
        0.00511464,
        0.00611699,
        0.00648384,
        0.00591019,
        0.00659545,
        0.00598411,
        0.00708358,
        0.0063725,
        0.0059463,
        0.00615948,
        0.00630153,
        0.00661927,
        0.00577955,
        0.00550859,
        0.00561152,
        0.00575682,
        0.00588769,
        0.00558063,
        0.00634063,
        0.00632148,
        0.00580916,
        0.00474668,
        0.00520518,
        0.00544846,
        0.00591927,
        0.00621018,
        0.00569364,
        0.00608629,
        0.00623952,
        0.0056587,
        0.00581458,
        0.00611799,
        0.00602141,
        0.00656766,
        0.0055227,
        0.00602985,
        0.00685023,
        0.00734861,
        0.00675439,
        0.00575161,
        0.00609997,
        0.00625166,
        0.00603489,
        0.006022,
        0.00602779,
        0.00611354,
        0.00571687,
        0.00467736,
        0.00583127,
        0.00573957,
        0.00582496,
        0.00568724,
        0.00575388,
        0.00551509,
        0.00567613,
        0.00526302,
        0.00547345,
        0.00611252,
        0.00633794,
        0.00664773,
        0.00581717,
        0.00556513,
        0.00603633,
        0.00535658,
        0.00587854,
        0.00556799,
        0.00535799,
        0.00567523,
        0.00564509,
        0.00541355,
        0.00550861,
        0.00574298,
        0.00601861,
        0.00618853,
        0.00560657,
        0.0055842,
        0.00591736,
        0.00411275,
        0.00401212,
        0.00427168,
        0.00488417,
        0.00530367,
        0.0049898,
        0.00521617,
        0.00535191,
        0.00521446,
        0.00537657,
        0.00574816,
        0.00575679,
        0.00524546,
        0.0065951,
        0.00439308,
        0.00546082,
        0.00599857,
        0.00540009,
        0.00545659,
        0.00662986,
        0.00657967,
        0.00554726,
        0.00516973,
        0.00604395,
        0.00647288,
        0.00558409,
        0.00588149,
        0.00616396,
        0.0060411,
        0.00571008,
        0.00462758,
        0.00499652,
        0.00635801,
        0.00801765,
        0.00833583,
        0.00636888,
        0.00668353,
        0.00640081,
        0.00698232,
        0.00707992,
        0.00675494,
        0.00655251,
        0.00570615,
        0.00622326,
        0.00622461,
        0.00550948,
        0.00656176,
        0.00548767,
        0.00575671,
        0.00631074,
        0.00646534,
        0.00609718,
        0.00602793,
        0.00600753,
        0.00591619,
        0.00592186,
        0.00595355,
        0.00581669,
        0.00564577,
        0.00619191,
        0.0069483,
        0.00691367,
        0.00590623,
        0.00635657,
        0.00640078,
        0.00624533,
        0.00676214,
        0.00634971,
        0.00586971,
        0.00639669,
        0.0063833,
        0.00572292,
        0.00504881,
        0.00619397,
        0.00498008,
        0.00562238,
        0.00510896,
        0.00516013,
        0.00534862,
        0.00575492,
        0.00543394,
        0.0053577,
        0.00585077,
        0.00579607,
        0.00554887,
        0.00610606,
        0.0063588,
        0.00626473,
        0.00557637,
        0.00656176,
        0.00534395,
        0.00498796,
        0.00535654,
        0.00529277,
        0.00528548,
        0.00535952,
        0.00514547,
        0.00554477,
        0.00588373,
        0.00555898,
        0.00573882,
        0.00619969,
        0.00610516,
        0.00568,
        0.00577745,
        0.00629682,
        0.00478132,
        0.00526794,
        0.00493669,
        0.00541093,
        0.00515755,
        0.00497994,
        0.0053494,
        0.00553409,
        0.00563332,
        0.00584217,
        0.00553837,
        0.00546711,
        0.00580121,
        0.00726743,
        0.0063222,
        0.00547009,
        0.00658339,
        0.00609515,
        0.00568552,
        0.00555206,
        0.00566672,
        0.00554158,
        0.00531666,
        0.00611483,
        0.00657682,
        0.0066292,
        0.0060686,
        0.00643828,
        0.00687389,
        0.00579465,
        0.00621602,
        0.00695995,
        0.00646192,
        0.00611832,
        0.00699652,
        0.0072164,
        0.00712445,
        0.00775785,
        0.00785906,
        0.00740833,
        0.00800239,
        0.00750071,
        0.00926065,
        0.00939621,
        0.00809787,
        0.00790904,
        0.00967445,
        0.00811694,
        0.00874236,
        0.00773561,
        0.00792792,
        0.00801992,
        0.00732735,
        0.00658005,
        0.00671051,
        0.00689147,
        0.00620056,
        0.00664173,
        0.0069713,
        0.00648295,
        0.00807681,
        0.0069009,
        0.0057093,
        0.00633486,
        0.00657058,
        0.00682796,
        0.00725279,
        0.006587,
        0.0062705,
        0.00713794,
        0.00743881,
        0.00704816,
        0.00704872,
        0.00652824
    ]
}