GET /api/ishell_4517nm_5232nm_vstar_v2508_oph/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.516930593068575,
        4.516950620280018,
        4.516970647491461,
        4.516990674702903,
        4.517010701914346,
        4.517030729125789,
        4.517051233175599,
        4.517071260387042,
        4.517091287598485,
        4.517111314809928,
        4.51713134202137,
        4.517151369232813,
        4.517171396444256,
        4.517191423655699,
        4.5172114508671415,
        4.5172314780785845,
        4.5172515052900275,
        4.5172720093398375,
        4.5172920365512805,
        4.5173120637627235,
        4.5173320909741665,
        4.517352118185609,
        4.517372145397052,
        4.517392172608495,
        4.51743222703138,
        4.517632499145808,
        4.517652526357251,
        4.517672553568693,
        4.517692580780136,
        4.51867248362573,
        4.518712061210247,
        4.51873208842169,
        4.518772142844576,
        4.5187921700560185,
        4.518811720429094,
        4.518831747640537,
        4.51885177485198,
        4.518871802063423,
        4.518891829274865,
        4.51891137964794,
        4.518931406859383,
        4.518951434070826,
        4.518971461282269,
        4.518991488493711,
        4.519011038866786,
        4.519031066078229,
        4.519051093289672,
        4.519071120501115,
        4.5191903300930365,
        4.519210357304479,
        4.519230384515922,
        4.519249934888997,
        4.51926996210044,
        4.519289989311883,
        4.519310016523325,
        4.5193295668964,
        4.519349594107843,
        4.519369621319286,
        4.519389648530729,
        4.519409198903804,
        4.519429226115246,
        4.519449253326689,
        4.519468803699764,
        4.519488830911207,
        4.51950885812265,
        4.5195284084957255,
        4.519588013291686,
        4.519608040503129,
        4.519707699721975,
        4.520599864307914,
        4.520619414680989,
        4.520639441892432,
        4.520658992265507,
        4.52067901947695,
        4.520698569850025,
        4.520718597061467,
        4.5207381474345425,
        4.520777725019061,
        4.520797752230504,
        4.520856880188097,
        4.520876907399539,
        4.520896457772614,
        4.520916484984057,
        4.520936035357132,
        4.520955585730207,
        4.52097561294165,
        4.520995163314725,
        4.521015190526168,
        4.5210347408992435,
        4.521054768110686,
        4.521074318483761,
        4.521094345695204,
        4.521113896068279,
        4.521133446441354,
        4.521153473652797,
        4.521173024025872,
        4.521193051237315,
        4.521212601610389,
        4.521232151983464,
        4.521252179194907,
        4.5212717295679825,
        4.5212917567794255,
        4.521311307152501,
        4.521330857525576,
        4.521350884737019,
        4.521370435110094,
        4.521389985483169,
        4.521410012694611,
        4.521429563067686,
        4.521449590279129,
        4.521469140652204,
        4.521488691025279,
        4.521508718236722,
        4.522532013373775,
        4.52255156374685,
        4.522571114119925,
        4.522590664493,
        4.522610214866075,
        4.5226297652391505,
        4.5226497924505935,
        4.522669342823669,
        4.522688893196744,
        4.522708443569819,
        4.522727993942894,
        4.522747544315969,
        4.522767094689044,
        4.522787121900487,
        4.522806672273562,
        4.522826222646637,
        4.5228457730197125,
        4.522865323392788,
        4.522884873765863,
        4.522904424138938,
        4.522923974512013,
        4.522944001723455,
        4.52296355209653,
        4.522983102469605,
        4.52300265284268,
        4.523022203215755,
        4.5230417535888305,
        4.523061303961906,
        4.523080854334981,
        4.523100404708056,
        4.523119955081131,
        4.523139505454206,
        4.523159532665649,
        4.523179083038724,
        4.523198633411799,
        4.523218183784874,
        4.5232377341579495,
        4.523257284531025,
        4.5232768349041,
        4.523296385277175,
        4.52331593565025,
        4.523335486023325,
        4.5233550363964,
        4.523374586769475,
        4.52339413714255,
        4.5234136875156254,
        4.5234332378887006,
        4.523452788261776,
        4.523472338634851,
        4.523491889007926,
        4.523511439381001,
        4.523530989754076,
        4.523589640873301,
        4.52433160137342,
        4.524351151746495,
        4.524389775654277,
        4.524409326027352,
        4.524428876400427,
        4.524448426773502,
        4.5244679771465774,
        4.5244875275196526,
        4.524507077892728,
        4.524526151427435,
        4.52454570180051,
        4.524565252173585,
        4.52458480254666,
        4.524604352919735,
        4.52462390329281,
        4.5246429768275185,
        4.524662527200594,
        4.524682077573669,
        4.524701627946744,
        4.524721178319819,
        4.524740251854526,
        4.524759802227601,
        4.524779352600676,
        4.524798902973751,
        4.5248184533468265,
        4.524837526881534,
        4.524857077254609,
        4.524876627627684,
        4.524896178000759,
        4.524915728373834,
        4.524934801908541,
        4.5249543522816165,
        4.524973902654692,
        4.524993453027767,
        4.525012526562475,
        4.52503207693555,
        4.525051627308625,
        4.525071177681699,
        4.525090251216407,
        4.525109801589482,
        4.5251293519625575,
        4.525148902335633,
        4.52516797587034,
        4.525187526243415,
        4.52520707661649,
        4.525226150151197,
        4.525245700524272,
        4.525265250897347,
        4.5252848012704225,
        4.52530387480513,
        4.525323425178205,
        4.52534297555128,
        4.525362049085988,
        4.525381599459063,
        4.525401149832138,
        4.525420700205213,
        4.525439773739921,
        4.525459324112996,
        4.525478874486071,
        4.526350058183832,
        4.526369131718539,
        4.526388682091614,
        4.526407755626321,
        4.5264273059993965,
        4.526446379534105,
        4.52646592990718,
        4.526485003441887,
        4.526504553814962,
        4.526523627349669,
        4.526543177722744,
        4.5265622512574515,
        4.526581801630527,
        4.526600875165235,
        4.52662042553831,
        4.526639499073017,
        4.526659049446092,
        4.526678122980799,
        4.526697673353874,
        4.526716746888582,
        4.526736297261657,
        4.526755370796364,
        4.526774444331072,
        4.526793994704147,
        4.526813068238854,
        4.526832618611929,
        4.526851692146637,
        4.526871242519712,
        4.526890316054419,
        4.526909866427494,
        4.526928939962202,
        4.526948013496909,
        4.5269675638699844,
        4.526986637404692,
        4.527006187777767,
        4.527025261312474,
        4.527044334847182,
        4.527063885220257,
        4.527082958754964,
        4.5271025091280395,
        4.527121582662747,
        4.527140656197454,
        4.527160206570529,
        4.527179280105236,
        4.527198830478311,
        4.527217904013019,
        4.527236977547727,
        4.527256527920802,
        4.527275601455509,
        4.527295151828584,
        4.527314225363291,
        4.527333298897999,
        4.527352849271074,
        4.527371922805782,
        4.527390996340489,
        4.527410546713564,
        4.52821688039332,
        4.528236430766395,
        4.528255504301103,
        4.52827457783581,
        4.528293651370517,
        4.528312724905224,
        4.5283322752782995,
        4.528351348813008,
        4.528370422347715,
        4.528389495882422,
        4.528408569417129,
        4.528427642951836,
        4.5284471933249115,
        4.52846626685962,
        4.528485340394327,
        4.528504413929034,
        4.528523487463741,
        4.528542560998449,
        4.528562111371524,
        4.528581184906232,
        4.528600258440939,
        4.528619331975646,
        4.528638405510354,
        4.528657479045061,
        4.5286765525797685,
        4.528696102952844,
        4.528715176487551,
        4.528734250022259,
        4.528753323556966,
        4.528772397091673,
        4.5287914706263805,
        4.528810544161089,
        4.528829617695796,
        4.528848691230503,
        4.528868241603578,
        4.528887315138285,
        4.5289063886729926,
        4.528925462207701,
        4.528944535742408,
        4.528963609277115,
        4.528982682811822,
        4.52900175634653,
        4.5290208298812376,
        4.529039903415945,
        4.529058976950652,
        4.52907805048536,
        4.529097124020067,
        4.529116674393142,
        4.52913574792785,
        4.529154821462557,
        4.529173894997265,
        4.529192968531972,
        4.529212042066679,
        4.5292311156013865,
        4.529250189136094,
        4.529269262670802,
        4.529288336205509,
        4.5301266180559,
        4.530164765125314,
        4.530183838660022,
        4.530202435356362,
        4.530221508891069,
        4.530240582425777,
        4.530259655960484,
        4.530278729495191,
        4.530297803029899,
        4.530316876564606,
        4.530335473260946,
        4.530354546795653,
        4.53037362033036,
        4.5303926938650685,
        4.530411767399776,
        4.530430840934483,
        4.530449437630823,
        4.53046851116553,
        4.5304875847002375,
        4.530506658234945,
        4.530525731769653,
        4.53054480530436,
        4.530563402000699,
        4.530582475535407,
        4.530601549070115,
        4.530620622604822,
        4.530639696139529,
        4.530658292835869,
        4.530677366370576,
        4.530696439905284,
        4.530715513439991,
        4.530734110136331,
        4.530753183671038,
        4.530772257205745,
        4.5307913307404535,
        4.530810404275161,
        4.5308290009715,
        4.530848074506208,
        4.530867148040915,
        4.5308862215756225,
        4.530904818271963,
        4.53092389180667,
        4.530942965341377,
        4.530962038876084,
        4.5309806355724245,
        4.530999709107132,
        4.531018782641839,
        4.531037379338179,
        4.531056452872886,
        4.5310755264075935,
        4.531094599942301,
        4.531113196638641,
        4.531132270173348,
        4.531151343708055,
        4.531170417242763,
        4.531189013939103,
        4.53120808747381,
        4.531227161008518,
        4.531245757704857,
        4.5312648312395645,
        4.531283904774273,
        4.531302501470612,
        4.531321575005319,
        4.531340648540026,
        4.5313592452363665,
        4.532133630745488,
        4.532152704280195,
        4.532171300976534,
        4.532190374511242,
        4.532208971207582,
        4.532228044742289,
        4.532246641438629,
        4.532265714973336,
        4.532284311669676,
        4.532303385204384,
        4.532321981900723,
        4.53234105543543,
        4.53235965213177,
        4.532397322362818,
        4.532416395897525,
        4.532434992593864,
        4.532454066128572,
        4.532472662824912,
        4.532491736359619,
        4.532510333055959,
        4.532529406590666,
        4.5325480032870065,
        4.532567076821714,
        4.532585673518053,
        4.53260474705276,
        4.5326233437491,
        4.532642417283808,
        4.532661013980148,
        4.532680087514855,
        4.532698684211194,
        4.5327172809075345,
        4.532736354442242,
        4.532754951138582,
        4.532774024673289,
        4.532792621369628,
        4.532811694904336,
        4.532867961831723,
        4.532886558528062,
        4.53290563206277,
        4.53292422875911,
        4.532942825455449,
        4.532961898990157,
        4.5329804956864965,
        4.532999569221204,
        4.533018165917544,
        4.533036762613883,
        4.533055836148591,
        4.533074432844931,
        4.533093506379638,
        4.533112103075978,
        4.533130699772317,
        4.5331497733070245,
        4.533168370003365,
        4.533186966699704,
        4.533206040234412,
        4.533224636930751,
        4.533243233627092,
        4.533262307161799,
        4.533280903858138,
        4.533299977392846,
        4.5333185740891855,
        4.533337170785526,
        4.533356244320233,
        4.533374841016572,
        4.533393437712912,
        4.533412034409252,
        4.534104880557499,
        4.534123477253838,
        4.534142550788546,
        4.534161147484886,
        4.534179744181225,
        4.534198340877565,
        4.5342169375739045,
        4.534236011108613,
        4.534254607804952,
        4.534273204501291,
        4.534291801197631,
        4.534310397893971,
        4.534328994590311,
        4.534348068125018,
        4.534366664821358,
        4.534385261517698,
        4.534403858214038,
        4.534422454910377,
        4.534441051606717,
        4.534459648303057,
        4.534478721837764,
        4.534497318534104,
        4.534515915230443,
        4.5345345119267835,
        4.534553108623123,
        4.534571705319463,
        4.534776745817568,
        4.534795819352275,
        4.534814416048614,
        4.534833012744954,
        4.534851609441294,
        4.534870206137634,
        4.534888802833973,
        4.534907399530313,
        4.534925996226653,
        4.534944592922993,
        4.534963189619332,
        4.534981786315672,
        4.535000383012012,
        4.535018979708352,
        4.535037576404691,
        4.535056173101031,
        4.535074769797371,
        4.535093366493711,
        4.535112440028418,
        4.535131036724757,
        4.5351496334210974,
        4.535168230117437,
        4.535186826813777,
        4.535205423510116,
        4.535224020206456,
        4.535242616902796,
        4.535261213599136,
        4.535279810295475,
        4.535298406991815,
        4.535317003688155,
        4.535335600384495,
        4.535354197080834,
        4.535372793777174,
        4.535391390473514,
        4.535409987169854,
        4.5361152311156605,
        4.536133350973632,
        4.536151947669972,
        4.536170544366311,
        4.536189141062652,
        4.536207737758991,
        4.536226334455331,
        4.5362444543133025,
        4.536263051009643,
        4.536281647705982,
        4.536300244402322,
        4.5363188410986615,
        4.536337437795002,
        4.536355557652974,
        4.536485257688984,
        4.536503854385324,
        4.536522451081663,
        4.536540570939636,
        4.536559167635975,
        4.536577764332315,
        4.536596361028654,
        4.536614957724995,
        4.536633077582967,
        4.536651674279306,
        4.536670270975646,
        4.536688867671986,
        4.536706987529958,
        4.536725584226297,
        4.536744180922637,
        4.536762777618977,
        4.536780897476949,
        4.536799494173288,
        4.5368180908696285,
        4.536836687565968,
        4.53685480742394,
        4.53687340412028,
        4.53689200081662,
        4.53691059751296,
        4.536928717370931,
        4.536947314067271,
        4.536965910763611,
        4.536984030621583,
        4.537002627317922,
        4.537021224014262,
        4.537039820710602,
        4.537057940568574,
        4.537076537264914,
        4.5370951339612535,
        4.537113253819226,
        4.537131850515565,
        4.537150447211905,
        4.537168567069877,
        4.537187163766217,
        4.537205760462556,
        4.5372238803205285,
        4.537242477016869,
        4.537261073713208,
        4.53727919357118,
        4.53729779026752,
        4.53731638696386,
        4.537334506821832,
        4.537353103518171,
        4.5373717002145115,
        4.537389820072483,
        4.537408416768823,
        4.537427013465162,
        4.538309641283748,
        4.53832776114172,
        4.538345880999692,
        4.538364477696032,
        4.538382597554004,
        4.538401194250344,
        4.538419314108316,
        4.538437910804656,
        4.538456030662627,
        4.538474627358967,
        4.53849274721694,
        4.538511343913279,
        4.538529463771251,
        4.5385480604675905,
        4.538566180325563,
        4.538584300183535,
        4.538602896879874,
        4.538621016737847,
        4.538639613434187,
        4.538657733292158,
        4.5386763299884985,
        4.53869444984647,
        4.538712569704442,
        4.538731166400782,
        4.538749286258754,
        4.538767882955094,
        4.538786002813066,
        4.538804122671038,
        4.538822719367378,
        4.53884083922535,
        4.538859435921689,
        4.538877555779662,
        4.538895675637633,
        4.538914272333973,
        4.538950988888285,
        4.538969108746257,
        4.538987228604229,
        4.539005825300569,
        4.539023945158541,
        4.539042065016513,
        4.539060661712853,
        4.539078781570825,
        4.539096901428796,
        4.5391154981251365,
        4.539133617983109,
        4.539152214679448,
        4.53917033453742,
        4.539188454395393,
        4.539207051091732,
        4.539225170949704,
        4.5392432908076765,
        4.539261887504016,
        4.539280007361988,
        4.5392981272199595,
        4.539316247077932,
        4.539334843774272,
        4.539352963632243,
        4.539371083490216,
        4.539389680186556,
        4.539407800044527,
        4.5394259199024996,
        4.53944451659884,
        4.539462636456811,
        4.540191722321002,
        4.5402098421789745,
        4.540227962036947,
        4.540246081894918,
        4.540264678591258,
        4.54028279844923,
        4.540300918307202,
        4.540319038165174,
        4.540337158023147,
        4.540355277881118,
        4.54037339773909,
        4.540391517597063,
        4.540410114293402,
        4.540428234151374,
        4.5404463540093465,
        4.540464473867318,
        4.54048259372529,
        4.5405007135832625,
        4.540518833441235,
        4.540536953299206,
        4.540555549995546,
        4.540573669853519,
        4.54059178971149,
        4.540609909569462,
        4.540628029427435,
        4.540646149285406,
        4.540664269143378,
        4.540682389001351,
        4.540700508859323,
        4.540718628717294,
        4.5407367485752665,
        4.540754868433239,
        4.540773465129578,
        4.54079158498755,
        4.540809704845523,
        4.540827824703495,
        4.540845944561466,
        4.540864064419439,
        4.540882184277411,
        4.540900304135382,
        4.540918423993355,
        4.540936543851327,
        4.540954663709299,
        4.540972783567271,
        4.540990903425243,
        4.541009023283215,
        4.541027143141187,
        4.541045262999159,
        4.541063382857131,
        4.5410815027151035,
        4.541099622573075,
        4.541117742431047,
        4.541135862289019,
        4.541153982146992,
        4.541172102004963,
        4.541190221862935,
        4.541208341720908,
        4.541226461578879,
        4.541244581436851,
        4.541262701294824,
        4.541280821152796,
        4.541298941010767,
        4.54131706086874,
        4.541335180726712,
        4.541353300584684,
        4.541371420442656,
        4.541389540300628,
        4.5414076601586,
        4.541425780016572,
        4.541443899874544,
        4.541462019732516,
        4.5414801395904885,
        4.54149825944846,
        4.541516379306432,
        4.542184429859559,
        4.542202549717532,
        4.542220669575504,
        4.542238789433475,
        4.54225643245308,
        4.542274552311052,
        4.542292672169024,
        4.542310792026996,
        4.542328911884968,
        4.542346554904572,
        4.542364674762545,
        4.542382794620517,
        4.542400914478488,
        4.5424190343364605,
        4.542436677356065,
        4.542454797214037,
        4.542472917072009,
        4.542491036929981,
        4.542508679949585,
        4.542526799807558,
        4.54254491966553,
        4.542563039523501,
        4.542580682543106,
        4.542598802401078,
        4.54261692225905,
        4.542635042117022,
        4.542652685136626,
        4.542670804994598,
        4.542688924852571,
        4.542707044710543,
        4.542724687730147,
        4.542742807588119,
        4.542760927446091,
        4.542779047304063,
        4.542796690323668,
        4.542814810181639,
        4.542832930039611,
        4.542850573059216,
        4.542868692917188,
        4.54288681277516,
        4.542904932633132,
        4.542922575652736,
        4.542940695510708,
        4.542958815368681,
        4.542976458388285,
        4.542994578246256,
        4.543012698104229,
        4.543030341123833,
        4.543048460981805,
        4.543066580839778,
        4.543084223859382,
        4.543102343717353,
        4.543120463575326,
        4.54313810659493,
        4.543156226452902,
        4.543174346310874,
        4.543191989330478,
        4.5432101091884505,
        4.543228229046423,
        4.543245872066027,
        4.543263991923999,
        4.543282111781971,
        4.543299754801575,
        4.5433178746595475,
        4.54333599451752,
        4.543353637537124,
        4.543371757395096,
        4.5433894004147,
        4.543407520272672,
        4.5434256401306445,
        4.543443283150249,
        4.543461403008221,
        4.543479046027825,
        4.543497165885797,
        4.543515285743769,
        4.543532928763374,
        4.543551048621346,
        4.544213377114061,
        4.54424866315327,
        4.544266783011241,
        4.5442844260308455,
        4.544302545888818,
        4.544320188908422,
        4.544338308766394,
        4.544355951785999,
        4.54437407164397,
        4.544391714663575,
        4.544409834521547,
        4.544427477541151,
        4.544445120560756,
        4.544463240418728,
        4.544480883438332,
        4.544499003296304,
        4.544516646315908,
        4.54453476617388,
        4.544552409193485,
        4.544570052213089,
        4.5445881720710615,
        4.544605815090666,
        4.544623934948637,
        4.544641577968242,
        4.544659697826214,
        4.544677340845818,
        4.544694983865423,
        4.544713103723395,
        4.544730746742999,
        4.544748389762604,
        4.544766509620576,
        4.5447841526401795,
        4.544802272498152,
        4.544819915517756,
        4.544873321414937,
        4.544890964434542,
        4.544909084292514,
        4.544926727312117,
        4.54494484717009,
        4.544962490189694,
        4.5449801332092985,
        4.544998253067271,
        4.545015896086875,
        4.54503353910648,
        4.545051658964452,
        4.545069301984056,
        4.54508694500366,
        4.545105064861632,
        4.545122707881236,
        4.545140350900841,
        4.545158470758813,
        4.5451761137784175,
        4.545193756798022,
        4.545211399817626,
        4.5452295196755985,
        4.545247162695202,
        4.545264805714806,
        4.545282925572779,
        4.545300568592383,
        4.5453182116119875,
        4.54533633146996,
        4.545353974489564,
        4.5453716175091685,
        4.545389260528773,
        4.545407380386744,
        4.545425023406349,
        4.545442666425953,
        4.5454603094455575,
        4.54547842930353,
        4.54629429975064,
        4.546311942770243,
        4.546329585789848,
        4.546347228809452,
        4.546364871829057,
        4.546382514848661,
        4.546400157868265,
        4.54641780088787,
        4.546435443907474,
        4.546453563765446,
        4.546471206785051,
        4.546488849804655,
        4.54650649282426,
        4.546524135843864,
        4.546541778863468,
        4.546559421883073,
        4.546577064902677,
        4.5465947079222815,
        4.546612350941886,
        4.54662999396149,
        4.546647636981095,
        4.546665280000699,
        4.54668339985867,
        4.546701042878275,
        4.546718685897879,
        4.546736328917484,
        4.546753971937088,
        4.546771614956692,
        4.546789257976297,
        4.546806900995901,
        4.5468245440155055,
        4.54684218703511,
        4.546859830054714,
        4.546877473074319,
        4.546895116093923,
        4.546912759113527,
        4.546930402133132,
        4.546948045152736,
        4.546965688172341,
        4.546983331191945,
        4.547000974211549,
        4.547018617231154,
        4.547036260250758,
        4.5470539032703625,
        4.547071546289967,
        4.547089189309571,
        4.547106832329176,
        4.54712447534878,
        4.5471421183683844,
        4.547159761387989,
        4.547177404407592,
        4.547195047427197,
        4.547212690446801,
        4.5472303334664055,
        4.54724797648601,
        4.547265619505614,
        4.547283262525219,
        4.547300905544823,
        4.547318548564427,
        4.547336191584032,
        4.547353357765268,
        4.547371000784873,
        4.547388643804477,
        4.547406286824081,
        4.547423929843686,
        4.547670455279779,
        4.547688098299384,
        4.547705741318988,
        4.5477233843385925,
        4.547740550519829,
        4.547758193539433,
        4.547775836559038,
        4.547793479578642,
        4.548408124234589,
        4.5484252904158256,
        4.54844293343543,
        4.548460576455034,
        4.548478219474639,
        4.548495385655875,
        4.54851302867548,
        4.548530671695084,
        4.548548314714688,
        4.548565480895925,
        4.548583123915529,
        4.548600766935134,
        4.54861793311637,
        4.5486355761359745,
        4.548653219155579,
        4.548670862175183,
        4.54868802835642,
        4.548705671376024,
        4.5487233143956285,
        4.548740480576865,
        4.548758123596469,
        4.548775766616074,
        4.548793409635678,
        4.5488105758169155,
        4.54882821883652,
        4.548845861856123,
        4.548863028037361,
        4.548880671056965,
        4.5488983140765695,
        4.548915480257806,
        4.54893312327741,
        4.548950766297015,
        4.548967932478251,
        4.548985575497856,
        4.54900321851746,
        4.5490203846986965,
        4.549038027718301,
        4.549055670737905,
        4.549072836919142,
        4.549090479938746,
        4.5491081229583505,
        4.549125289139587,
        4.549142932159191,
        4.549160575178796,
        4.549177741360033,
        4.5491953843796376,
        4.549212550560874,
        4.549230193580478,
        4.549247836600083,
        4.549265002781319,
        4.549282645800924,
        4.549300288820528,
        4.5493174550017645,
        4.549335098021369,
        4.549352264202605,
        4.549544430064783,
        4.549561596246019,
        4.549579239265624,
        4.54959640544686,
        4.549614048466465,
        4.549631691486069,
        4.5496488576673055,
        4.54966650068691,
        4.549683666868147,
        4.549701309887752,
        4.549718476068988,
        4.5497361190885925,
        4.549753285269829,
        4.549770928289433,
        4.54978809447067,
        4.549805737490274,
        4.549822903671511,
        4.549840546691115,
        4.5498577128723525,
        4.549875355891957,
        4.549910165092798,
        4.549927808112402,
        4.549944974293639,
        4.549962617313243,
        4.550518610849964,
        4.550535777031201,
        4.550553420050805,
        4.550570586232042,
        4.550588229251646,
        4.550605395432883,
        4.550622561614119,
        4.550640204633724,
        4.55065737081496,
        4.550674536996197,
        4.550692180015801,
        4.5507093461970385,
        4.550726989216643,
        4.550744155397879,
        4.550761321579116,
        4.55077896459872,
        4.550796130779957,
        4.550813296961193,
        4.550830939980798,
        4.550848106162035,
        4.550865272343271,
        4.550882915362876,
        4.550900081544112,
        4.550917247725349,
        4.550934890744953,
        4.55095205692619,
        4.550969223107427,
        4.550986866127031,
        4.551004032308268,
        4.551021198489504,
        4.551038841509109,
        4.551056007690345,
        4.551073173871582,
        4.551090816891186,
        4.5511079830724235,
        4.55112514925366,
        4.5511423154348964,
        4.551159958454501,
        4.551177124635737,
        4.551194290816974,
        4.551211933836578,
        4.5512291000178156,
        4.5512634323802885,
        4.551488500089836,
        4.551505666271073,
        4.551522832452309,
        4.5515404754719135,
        4.55155764165315,
        4.551574807834387,
        4.551591974015624,
        4.55160914019686,
        4.551626783216465,
        4.551643949397701,
        4.551661115578939,
        4.551678281760175,
        4.551695447941412,
        4.551713090961016,
        4.551730257142252,
        4.551747423323489,
        4.551764589504726,
        4.551781755685963,
        4.551799398705567,
        4.551816564886804,
        4.55183373106804,
        4.551850897249277,
        4.551868063430514,
        4.5518852296117505,
        4.551902872631355,
        4.551920038812591,
        4.551937204993828,
        4.551954371175064,
        4.551971537356302,
        4.551988703537538,
        4.5520063465571425,
        4.552023512738379,
        4.5520406789196155,
        4.552057845100852,
        4.552075011282089,
        4.552625759596766,
        4.552642925778002,
        4.552660091959239,
        4.552677258140475,
        4.552694424321713,
        4.552711590502949,
        4.552728756684186,
        4.552745922865422,
        4.552763089046659,
        4.552780255227896,
        4.5527974214091325,
        4.552814587590369,
        4.552831753771605,
        4.552848919952843,
        4.552866086134079,
        4.552883252315316,
        4.552900418496552,
        4.552917584677789,
        4.552934750859026,
        4.552951917040263,
        4.552969083221499,
        4.5529862494027356,
        4.553003415583972,
        4.553020581765209,
        4.553037747946446,
        4.553054914127682,
        4.553072080308919,
        4.553089246490156,
        4.553106412671393,
        4.553123578852629,
        4.553140745033866,
        4.553157911215102,
        4.5531750773963395,
        4.553397760914049,
        4.553414927095285,
        4.5534320932765215,
        4.553449259457758,
        4.5534664256389945,
        4.553483591820232,
        4.5535002811631005,
        4.553517447344337,
        4.553534613525574,
        4.553551779706811,
        4.553568945888047,
        4.553586112069284,
        4.55360327825052,
        4.553620444431758,
        4.553637610612994,
        4.553654299955863,
        4.5536714661371,
        4.5536886323183365,
        4.553705798499573,
        4.5537229646808095,
        4.553740130862046,
        4.553757297043283,
        4.553773986386152,
        4.553791152567388,
        4.553808318748625,
        4.553825484929862,
        4.553842651111099,
        4.553859817292335,
        4.553876506635205,
        4.553893672816441,
        4.553910838997678,
        4.553928005178914,
        4.553945171360151,
        4.553962337541388,
        4.553979026884257,
        4.553996193065493,
        4.5540133592467305,
        4.554030525427967,
        4.554047691609203,
        4.554064380952072,
        4.554081547133309,
        4.554098713314546,
        4.554115879495782,
        4.554133045677019,
        4.554149735019888,
        4.554166901201125,
        4.554184067382361,
        4.555583349572334,
        4.556982631762307,
        4.557002658973749,
        4.55702316302356,
        4.557306405013965,
        4.557326432225408,
        4.557346936275218,
        4.557366963486661,
        4.557387467536472,
        4.557407494747914,
        4.557427998797725,
        4.557448026009168,
        4.55746805322061,
        4.557488557270421,
        4.557508584481864,
        4.557529088531674,
        4.557549115743117,
        4.55756914295456,
        4.55758964700437,
        4.557609674215813,
        4.557629701427256,
        4.557650205477066,
        4.557670232688509,
        4.557690736738319,
        4.557710763949762,
        4.557730791161205,
        4.557751295211015,
        4.557771322422458,
        4.557791349633901,
        4.557811853683711,
        4.557831880895154,
        4.557851908106597,
        4.557872412156407,
        4.55789243936785,
        4.557912466579293,
        4.557932970629103,
        4.557952997840546,
        4.557973025051989,
        4.5579935291017994,
        4.5580135563132425,
        4.5580335835246855,
        4.5580540875744955,
        4.5580741147859385,
        4.5580941419973815,
        4.5581141692088245,
        4.5581346732586345,
        4.5581547004700775,
        4.5581747276815205,
        4.558195231731331,
        4.558215258942774,
        4.558235286154217,
        4.558255313365659,
        4.55827581741547,
        4.558295844626913,
        4.558315871838355,
        4.558335899049798,
        4.558356403099609,
        4.558376430311051,
        4.558396457522494,
        4.558416484733937,
        4.558436988783747,
        4.55845701599519,
        4.558477043206633,
        4.558497070418076,
        4.558517574467886,
        4.558537601679329,
        4.558557628890772,
        4.558577656102214,
        4.558598160152025,
        4.558618187363468,
        4.55863821457491,
        4.559341551167246,
        4.559361578378689,
        4.559381605590132,
        4.559401632801575,
        4.559421660013017,
        4.55944168722446,
        4.559461714435903,
        4.559481741647346,
        4.559501768858788,
        4.559521796070231,
        4.559541823281674,
        4.559562327331484,
        4.559582354542927,
        4.55960238175437,
        4.559622408965813,
        4.559642436177255,
        4.559662463388698,
        4.559682490600141,
        4.559702517811584,
        4.5597225450230265,
        4.5597425722344695,
        4.559762599445913,
        4.559782626657356,
        4.559802653868798,
        4.559822681080241,
        4.559842708291684,
        4.559862735503127,
        4.559882762714569,
        4.559902789926012,
        4.559922817137455,
        4.559942844348898,
        4.55996287156034,
        4.559982898771783,
        4.560002925983226,
        4.560022953194669,
        4.560042980406111,
        4.560063007617554,
        4.560082557990629,
        4.560102585202072,
        4.560122612413515,
        4.560142639624957,
        4.5601626668364,
        4.560182694047843,
        4.560202721259286,
        4.5602227484707285,
        4.5602427756821715,
        4.5602628028936145,
        4.5602828301050575,
        4.5603028573165,
        4.560322884527943,
        4.560342911739386,
        4.560362462112461,
        4.560382489323904,
        4.560402516535346,
        4.560422543746789,
        4.560442570958232,
        4.560462598169675,
        4.560482625381117,
        4.56050265259256,
        4.560522679804003,
        4.560542230177078,
        4.56056225738852,
        4.560582284599963,
        4.560602311811406,
        4.560622339022849,
        4.560642366234291,
        4.560662393445734,
        4.560682420657177,
        4.5607019710302525,
        4.5607219982416956,
        4.560742025453138,
        4.560762052664581,
        4.560782079876024,
        4.560802107087467,
        4.560821657460542,
        4.560841684671984,
        4.560861711883427,
        4.561319953554773,
        4.561339980766215,
        4.56135953113929,
        4.561379558350733,
        4.561399585562176,
        4.561419612773619,
        4.561439163146694,
        4.5614591903581365,
        4.5614792175695795,
        4.561498767942655,
        4.561518795154098,
        4.561538822365541,
        4.561558849576983,
        4.561578399950058,
        4.561598427161501,
        4.561618454372944,
        4.561638004746019,
        4.561658031957462,
        4.561678059168904,
        4.561697609541979,
        4.561717636753422,
        4.561737663964865,
        4.56175721433794,
        4.561777241549383,
        4.5617972687608255,
        4.561816819133901,
        4.561836846345344,
        4.561856873556787,
        4.561876423929862,
        4.561896451141305,
        4.561916478352747,
        4.561936028725822,
        4.561956055937265,
        4.561976083148708,
        4.561995633521783,
        4.562015660733226,
        4.562035211106301,
        4.562055238317743,
        4.562075265529186,
        4.562094815902261,
        4.562114843113704,
        4.5621343934867795,
        4.5621544206982225,
        4.562174447909665,
        4.56219399828274,
        4.562214025494183,
        4.562233575867258,
        4.562253603078701,
        4.562273630290144,
        4.562293180663219,
        4.562313207874661,
        4.562332758247736,
        4.562352785459179,
        4.562372335832254,
        4.562392363043697,
        4.562411913416772,
        4.562431940628215,
        4.562451967839658,
        4.562471518212733,
        4.562491545424176,
        4.562511095797251,
        4.562531123008694,
        4.562550673381769,
        4.562570700593211,
        4.562590250966286,
        4.562610278177729,
        4.562629828550804,
        4.562649855762247,
        4.562669406135322,
        4.562689433346765,
        4.5627089837198405,
        4.562729010931283,
        4.562748561304358,
        4.562768588515801,
        4.562788138888876,
        4.562808166100319,
        4.562827716473394,
        4.562847743684837,
        4.562867294057912,
        4.562887321269354,
        4.562906871642429,
        4.562926898853872,
        4.562946449226947,
        4.56296647643839,
        4.5629860268114655,
        4.563005577184541,
        4.563025604395984,
        4.563440453775869,
        4.563460004148944,
        4.5634795545220195,
        4.5634995817334625,
        4.563519132106538,
        4.563538682479613,
        4.563558709691056,
        4.563578260064131,
        4.563597810437206,
        4.563617837648649,
        4.563637388021724,
        4.563656938394798,
        4.563676965606241,
        4.563696515979316,
        4.5637160663523915,
        4.5637360935638345,
        4.56375564393691,
        4.563775194309985,
        4.563795221521428,
        4.563814771894503,
        4.563834322267578,
        4.56385434947902,
        4.563873899852095,
        4.56389345022517,
        4.563913477436613,
        4.563933027809688,
        4.5639525781827635,
        4.563972128555839,
        4.563992155767282,
        4.564011706140357,
        4.564031256513432,
        4.564051283724875,
        4.56407083409795,
        4.564090384471025,
        4.5641099348441,
        4.564129962055542,
        4.564149512428617,
        4.564169062801692,
        4.5641886131747675,
        4.5642086403862105,
        4.564228190759286,
        4.564247741132361,
        4.564267291505436,
        4.564287318716879,
        4.564306869089954,
        4.564326419463029,
        4.564345969836104,
        4.564365520209179,
        4.564385547420622,
        4.564405097793697,
        4.5644246481667725,
        4.564444198539848,
        4.564463748912923,
        4.564483776124365,
        4.56450332649744,
        4.564522876870515,
        4.56454242724359,
        4.564561977616665,
        4.564582004828108,
        4.564601555201183,
        4.5646211055742585,
        4.564640655947334,
        4.564660206320409,
        4.564679756693484,
        4.564699783904927,
        4.564719334278002,
        4.564738884651077,
        4.564758435024152,
        4.564777985397227,
        4.564797535770302,
        4.5648170861433774,
        4.56483711335482,
        4.564856663727895,
        4.56487621410097,
        4.564895764474045,
        4.56491531484712,
        4.564934865220195,
        4.56495441559327,
        4.564973965966345,
        4.564993993177788,
        4.565013543550863,
        4.5650330939239385,
        4.565052644297014,
        4.565072194670089,
        4.565091745043164,
        4.565111295416239,
        4.565130845789314,
        4.56565918270071,
        4.565678733073785,
        4.56569828344686,
        4.565717833819935,
        4.56573738419301,
        4.565756934566085,
        4.56577648493916,
        4.5657960353122355,
        4.565815585685311,
        4.565835136058386,
        4.565854686431461,
        4.565874236804536,
        4.565893787177611,
        4.565913337550686,
        4.565932887923761,
        4.565952438296836,
        4.5659719886699115,
        4.565991539042987,
        4.566011089416062,
        4.566030639789137,
        4.566049713323844,
        4.566069263696919,
        4.566088814069994,
        4.566108364443069,
        4.566264290589302,
        4.566283840962377,
        4.5663033913354525,
        4.566322941708528,
        4.566342492081603,
        4.566362042454678,
        4.566381592827753,
        4.566401143200828,
        4.566420216735535,
        4.56643976710861,
        4.566459317481685,
        4.5664788678547605,
        4.566498418227836,
        4.566517968600911,
        4.566537518973986,
        4.566556592508693,
        4.566576142881768,
        4.566595693254843,
        4.566615243627918,
        4.5666347940009935,
        4.566654344374069,
        4.566673417908777,
        4.566692968281852,
        4.566712518654927,
        4.566732069028001,
        4.566751619401076,
        4.566770692935784,
        4.566790243308859,
        4.5668097936819345,
        4.56682934405501,
        4.566848894428085,
        4.566867967962792,
        4.566887518335867,
        4.566907068708942,
        4.566926619082017,
        4.566946169455092,
        4.5669652429898,
        4.566984793362875,
        4.56700434373595,
        4.567023894109025,
        4.567042967643732,
        4.567062518016807,
        4.567082068389882,
        4.567101618762957,
        4.5671206922976655,
        4.567140242670741,
        4.567159793043816,
        4.567179343416891,
        4.567198416951598,
        4.567217967324673,
        4.567373416632538,
        4.567392490167245,
        4.5674120405403205,
        4.567431590913396,
        4.567450664448104,
        4.567470214821179,
        4.567489765194254,
        4.567509315567329,
        4.567528389102036,
        4.567547939475111,
        4.567567489848186,
        4.567877434787182,
        4.567896508321889,
        4.567916058694964,
        4.567935609068039,
        4.567954682602747,
        4.567974232975822,
        4.567993306510529,
        4.5680128568836045,
        4.56803240725668,
        4.568051480791387,
        4.568071031164462,
        4.568090104699169,
        4.568109655072244,
        4.568128728606952,
        4.568148278980027,
        4.5681678293531025,
        4.56818690288781,
        4.568206453260885,
        4.568225526795592,
        4.568245077168667,
        4.568264150703374,
        4.568283701076449,
        4.5683027746111575,
        4.568322324984233,
        4.56834139851894,
        4.568360948892015,
        4.56838049926509,
        4.568399572799797,
        4.568419123172872,
        4.56843819670758,
        4.568457747080655,
        4.568476820615362,
        4.568496370988437,
        4.568515444523145,
        4.56853499489622,
        4.568554068430927,
        4.5685736188040025,
        4.56859269233871,
        4.568612242711785,
        4.568631316246492,
        4.568650866619567,
        4.568669940154275,
        4.56868949052735,
        4.5687085640620575,
        4.568727637596765,
        4.56874718796984,
        4.568766261504547,
        4.568785811877622,
        4.56880488541233,
        4.568824435785405,
        4.5688435093201125,
        4.568863059693188,
        4.568882133227895,
        4.56890168360097,
        4.568920757135677,
        4.568939830670384,
        4.5689593810434594,
        4.5689784545781675,
        4.568998004951243,
        4.56901707848595,
        4.569036152020657,
        4.569055702393732,
        4.569074775928439,
        4.5690943263015145,
        4.5691133998362226,
        4.569132950209298,
        4.569152023744005,
        4.569171097278712,
        4.569190647651787,
        4.569209721186494,
        4.5692287947212025,
        4.569248345094278,
        4.569267418628985,
        4.56940236388704,
        4.569421437421747,
        4.569440510956454,
        4.569460061329529,
        4.5694791348642365,
        4.569498208398945,
        4.56951775877202,
        4.569536832306727,
        4.569555905841434,
        4.569575456214509,
        4.569594529749216,
        4.5696136032839245,
        4.569633153657,
        4.569652227191707,
        4.569671300726414,
        4.569690851099489,
        4.569709924634196,
        4.569728998168904,
        4.5697485485419795,
        4.569767622076687,
        4.569786695611394,
        4.569805769146101,
        4.569825319519176,
        4.5698443930538835,
        4.5698634665885915,
        4.570132403427966,
        4.570151476962673,
        4.570170550497381,
        4.570189624032088,
        4.570209174405163,
        4.570228247939871,
        4.570247321474578,
        4.570266395009285,
        4.570285468543993,
        4.570305018917068,
        4.570324092451775,
        4.570343165986483,
        4.57036223952119,
        4.570381313055898,
        4.570400386590605,
        4.57041993696368,
        4.570439010498387,
        4.570458084033095,
        4.570477157567803,
        4.57049623110251,
        4.570515304637217,
        4.570534855010292,
        4.570553928544999,
        4.5705730020797075,
        4.570592075614415,
        4.570611149149122,
        4.570630222683829,
        4.570649773056904,
        4.570668846591611,
        4.5706879201263195,
        4.570706993661027,
        4.570726067195734,
        4.570745140730441,
        4.570764214265149,
        4.570783287799856,
        4.5708028381729315,
        4.570821911707639,
        4.570840985242346,
        4.570860058777054,
        4.570879132311761,
        4.570898205846468,
        4.570917279381176,
        4.570936352915884,
        4.570955426450591,
        4.570974499985298,
        4.570993573520005,
        4.5710131238930805,
        4.571032197427788,
        4.571051270962496,
        4.571070344497203,
        4.57108941803191,
        4.571108491566617,
        4.5711275651013255,
        4.571146638636033,
        4.57116571217074,
        4.571184785705447,
        4.571203859240155,
        4.571222932774862,
        4.57124200630957,
        4.571261079844277,
        4.571280153378985,
        4.571299226913692,
        4.571318300448399,
        4.5713373739831065,
        4.571356447517815,
        4.571375521052522,
        4.571394594587229,
        4.571413668121936,
        4.571432741656643,
        4.5714518151913515,
        4.571470888726059,
        4.571489962260766,
        4.571509035795473,
        4.571528109330181,
        4.571547182864888,
        4.571566256399596,
        4.571585329934303,
        4.571604403469011,
        4.571623477003718,
        4.571642550538425,
        4.5716616240731325,
        4.571680697607841,
        4.571699771142548,
        4.571718844677255,
        4.571737918211962,
        4.57175699174667,
        4.5717760652813775,
        4.571795138816085,
        4.571814212350792,
        4.571833285885499,
        4.571852359420207,
        4.571871432954914,
        4.571890029651254,
        4.571909103185962,
        4.571928176720669,
        4.571947250255376,
        4.571966323790083,
        4.5719853973247915,
        4.572004470859499,
        4.572023544394206,
        4.572042617928913,
        4.572061691463621,
        4.572080764998328,
        4.572099361694668,
        4.572118435229376,
        4.572137508764083,
        4.57215658229879,
        4.5723845110385435,
        4.572403584573252,
        4.572422658107959,
        4.572441731642666,
        4.572460805177373,
        4.57247987871208,
        4.572498475408421,
        4.572517548943128,
        4.572536622477835,
        4.572555696012543,
        4.57257476954725,
        4.57259336624359,
        4.572726404148174,
        4.572745477682882,
        4.572764074379221,
        4.5727831479139285,
        4.572802221448637,
        4.572821294983344,
        4.572840368518051,
        4.57285896521439,
        4.572878038749098,
        4.572897112283806,
        4.572916185818513,
        4.572934782514853,
        4.57295385604956,
        4.572972929584267,
        4.572992003118975,
        4.573010599815315,
        4.573029673350022,
        4.573048746884729,
        4.573067343581069,
        4.573086417115777,
        4.573105490650484,
        4.573124564185192,
        4.573143160881531,
        4.573162234416238,
        4.573313869017163,
        4.573332465713502,
        4.573351539248209,
        4.5733706127829175,
        4.573389209479257,
        4.573408283013964,
        4.573427356548672,
        4.573445953245011,
        4.573465026779719,
        4.573484100314426,
        4.573502697010766,
        4.573521770545473,
        4.573540367241813,
        4.5735594407765205,
        4.573578514311228,
        4.573597111007568,
        4.573616184542275,
        4.573635258076982,
        4.5736538547733225,
        4.57367292830803,
        4.573691525004369,
        4.573710598539077,
        4.573729672073784,
        4.573748268770124,
        4.573767342304832,
        4.573786415839539,
        4.573805012535878,
        4.573824086070585,
        4.573842682766926,
        4.573861756301633,
        4.573880352997973,
        4.57389942653268,
        4.573918500067387,
        4.573937096763728,
        4.573956170298435,
        4.573974766994774,
        4.573993840529482,
        4.5740124372258215,
        4.574031510760529,
        4.574050584295237,
        4.574069180991576,
        4.574088254526283,
        4.5741068512226235,
        4.574125924757331,
        4.57414452145367,
        4.574163594988378,
        4.574182191684717,
        4.574201265219425,
        4.574219861915765,
        4.574238935450472,
        4.574257532146812,
        4.574276605681519,
        4.574295679216227,
        4.574314275912567,
        4.574333349447274,
        4.574351946143613,
        4.574371019678321,
        4.574389616374661,
        4.574408689909368,
        4.574427286605708,
        4.574445883302047,
        4.574464956836755,
        4.574671904688331,
        4.574690978223038,
        4.574709574919377,
        4.5747281716157175,
        4.574747245150425,
        4.574765841846764,
        4.574784915381472,
        4.574803512077811,
        4.574822585612519,
        4.574841182308859,
        4.574859779005198,
        4.574878852539906,
        4.5748974492362455,
        4.574916522770953,
        4.574935119467293,
        4.574953716163632,
        4.57497278969834,
        4.57499138639468,
        4.575010459929387,
        4.575029056625727,
        4.575047653322066,
        4.5750667268567735,
        4.575085323553114,
        4.575104397087821,
        4.575122993784161,
        4.5751415904805,
        4.575160664015208,
        4.575179260711548,
        4.575197857407887,
        4.575216930942595,
        4.5752355276389345,
        4.575254124335275,
        4.575273197869982,
        4.575291794566321,
        4.575310391262661,
        4.575329464797369,
        4.575348061493708,
        4.575366658190048,
        4.575385731724755,
        4.5754043284210955,
        4.575422925117435,
        4.575441998652142,
        4.575460595348482,
        4.5754791920448215,
        4.5754982655795295,
        4.575516862275869,
        4.575535458972209,
        4.575554532506916,
        4.5755731292032555,
        4.575591725899596,
        4.575610322595935,
        4.575629396130642,
        4.575647992826982,
        4.575666589523322,
        4.57568566305803,
        4.575704259754369,
        4.575722856450709,
        4.575741453147049,
        4.575760526681756,
        4.575779123378096,
        4.575797720074435,
        4.5758163167707755,
        4.575835390305483,
        4.575853987001822,
        4.575872583698162,
        4.5758911803945015,
        4.57591025392921,
        4.575928850625549,
        4.575947447321889,
        4.575966044018228,
        4.575985117552936,
        4.576003714249276,
        4.576022310945615,
        4.576040907641955,
        4.576059504338295,
        4.576078577873003,
        4.576097174569342,
        4.576115771265681,
        4.576134367962021,
        4.576152964658361,
        4.576172038193069,
        4.576190634889408,
        4.576209231585748,
        4.576227828282088,
        4.576246424978428,
        4.576265021674767,
        4.576284095209474,
        4.5763026919058145,
        4.576321288602154,
        4.576339885298494,
        4.576358481994833,
        4.5763770786911735,
        4.576396152225881,
        4.57641474892222,
        4.57643334561856,
        4.5764519423148995,
        4.57647053901124,
        4.576489135707579,
        4.576507732403919,
        4.576526805938626,
        4.576545402634967,
        4.576563999331306,
        4.576582596027646,
        4.576601192723985,
        4.576619789420325,
        4.576638386116665,
        4.576656982813004,
        4.576676056347712,
        4.5766946530440515,
        4.576713249740392,
        4.576731846436731,
        4.576750443133071,
        4.5767690398294105,
        4.576787636525751,
        4.576974080327515,
        4.576992677023855,
        4.577011273720195,
        4.577029870416535,
        4.577048467112874,
        4.577067063809214,
        4.577085660505554,
        4.577104257201894,
        4.577122853898233,
        4.5771414505945724,
        4.577160047290913,
        4.577178643987252,
        4.577197240683592,
        4.577215837379931,
        4.577234434076272,
        4.577253030772611,
        4.577271627468951,
        4.57729022416529,
        4.577308820861631,
        4.57732741755797,
        4.57734601425431,
        4.577364610950649,
        4.57738320764699,
        4.577401804343329,
        4.577420401039669,
        4.577438997736008,
        4.577457594432349,
        4.577476191128688,
        4.577494787825028,
        4.577513384521367,
        4.5775319812177075,
        4.577550577914047,
        4.577569174610387,
        4.577587771306726,
        4.5776063680030665,
        4.577624964699406,
        4.577643561395745,
        4.577662158092085,
        4.577680754788425,
        4.577698874646397,
        4.577717471342737,
        4.577736068039076,
        4.577754664735417,
        4.577773261431756,
        4.577791858128096,
        4.577810454824435,
        4.577829051520776,
        4.577847648217115,
        4.577866244913455,
        4.577884841609794,
        4.577903438306134,
        4.577921558164106,
        4.577940154860446,
        4.577958751556785,
        4.577977348253126,
        4.577995944949465,
        4.578014541645805,
        4.578033138342144,
        4.578051735038485,
        4.578069854896456,
        4.578088451592796,
        4.5781070482891355,
        4.578125644985476,
        4.578144241681815,
        4.578162838378155,
        4.5781814350744945,
        4.578199554932467,
        4.578218151628806,
        4.578236748325146,
        4.578255345021486,
        4.578273941717826,
        4.578292538414165,
        4.578310658272137,
        4.5783292549684775,
        4.578347851664817,
        4.578366448361156,
        4.578385045057496,
        4.578403641753836,
        4.578421761611808,
        4.578440358308148,
        4.578458955004487,
        4.578477551700828,
        4.578496148397167,
        4.578514268255139,
        4.5785328649514785,
        4.578551461647819,
        4.578570058344158,
        4.57858817820213,
        4.57860677489847,
        4.57862537159481,
        4.578643968291149,
        4.578662564987489,
        4.5786806848454615,
        4.578699281541801,
        4.578717878238141,
        4.57873647493448,
        4.578754594792453,
        4.578773191488792,
        4.578791788185132,
        4.578810384881471,
        4.578828504739444,
        4.578847101435783,
        4.578865698132123,
        4.5788842948284625,
        4.578902414686435,
        4.578921011382775,
        4.578939608079114,
        4.5789577279370866,
        4.578976324633426,
        4.578994921329766,
        4.579013518026105,
        4.579031637884078,
        4.579050234580417,
        4.579068831276757,
        4.579086951134729,
        4.579105547831069,
        4.579124144527409,
        4.579290084279363,
        4.579308204137335,
        4.579326800833675,
        4.579345397530014,
        4.5793635173879865,
        4.579382114084327,
        4.579400710780666,
        4.579418830638638,
        4.579437427334978,
        4.579456024031318,
        4.57947414388929,
        4.579492740585629,
        4.579510860443602,
        4.579529457139941,
        4.579548053836281,
        4.579566173694253,
        4.579584770390593,
        4.579602890248565,
        4.579621486944904,
        4.5796400836412445,
        4.579658203499216,
        4.579676800195556,
        4.579694920053528,
        4.579713516749868,
        4.579732113446207,
        4.579750233304179,
        4.5797688300005195,
        4.579786949858491,
        4.579805546554831,
        4.57982414325117,
        4.579842263109143,
        4.579860859805483,
        4.579878979663454,
        4.579897576359794,
        4.579915696217766,
        4.579934292914106,
        4.579952412772078,
        4.579971009468418,
        4.579989606164758,
        4.580007726022729,
        4.580026322719069,
        4.580044442577042,
        4.580063039273381,
        4.580081159131353,
        4.580099755827693,
        4.580117875685665,
        4.580136472382004,
        4.5801545922399765,
        4.580173188936317,
        4.580191308794288,
        4.580209905490628,
        4.5802280253486005,
        4.58024662204494,
        4.580264741902912,
        4.580283338599251,
        4.580301458457224,
        4.580320055153564,
        4.580503161086755,
        4.580521757783094,
        4.580539877641066,
        4.580558474337406,
        4.580576594195378,
        4.580595190891718,
        4.58061331074969,
        4.580631430607662,
        4.580650027304002,
        4.5806681471619735,
        4.580686743858314,
        4.580704863716286,
        4.580723460412625,
        4.5807415802705975,
        4.580759700128569,
        4.580778296824909,
        4.580796416682881,
        4.580815013379221,
        4.580833133237193,
        4.580851253095165,
        4.580869849791505,
        4.580887969649477,
        4.580906566345816,
        4.5809246862037885,
        4.580942806061761,
        4.5809614027581,
        4.580979522616072,
        4.580997642474045,
        4.581016239170384,
        4.581034359028356,
        4.5810529557246955,
        4.581071075582668,
        4.58108919544064,
        4.581107792136979,
        4.581125911994952,
        4.581144031852924,
        4.581162628549263,
        4.5811807484072355,
        4.581198868265208,
        4.581217464961547,
        4.581235584819519,
        4.581253704677492,
        4.581272301373831,
        4.581290421231803,
        4.581308541089776,
        4.581327137786115,
        4.581345257644087,
        4.5813633775020595,
        4.581381497360031,
        4.581400094056371,
        4.5814182139143425,
        4.581436333772315,
        4.581454930468655,
        4.581473050326626,
        4.581618962867139,
        4.58163708272511,
        4.58165567942145,
        4.5816737992794225,
        4.581691919137394,
        4.581710038995366,
        4.581728635691706,
        4.581746755549678,
        4.58176487540765,
        4.581782995265622,
        4.581801591961962,
        4.581819711819934,
        4.581837831677906,
        4.581855951535878,
        4.58187407139385,
        4.58189266809019,
        4.5819107879481615,
        4.581928907806134,
        4.581947027664106,
        4.581965624360445,
        4.581983744218418,
        4.58200186407639,
        4.582019983934361,
        4.582038103792334,
        4.582056700488674,
        4.582074820346645,
        4.5820929402046175,
        4.58211106006259,
        4.582129179920562,
        4.5821472997785335,
        4.582165896474874,
        4.582184016332845,
        4.582202136190817,
        4.58222025604879,
        4.582238375906762,
        4.582256495764733,
        4.582275092461074,
        4.582293212319046,
        4.582311332177017,
        4.5823294520349895,
        4.582347571892962,
        4.582365691750933,
        4.5823838116089055,
        4.582402408305246,
        4.582420528163217,
        4.582438648021189,
        4.582456767879162,
        4.582474887737134,
        4.582493007595105,
        4.582511127453078,
        4.58252924731105,
        4.582547367169021,
        4.5825659638653615,
        4.582584083723334,
        4.582602203581305,
        4.5826203234392775,
        4.58263844329725,
        4.582656563155222,
        4.5826746830131935,
        4.582692802871166,
        4.582710922729138,
        4.5827290425871094,
        4.582747162445082,
        4.582765282303054,
        4.582783878999393,
        4.582801998857366,
        4.582820118715338,
        4.58283823857331,
        4.582856358431282,
        4.582874478289254,
        4.582892598147226,
        4.5829107180051984,
        4.58292883786317,
        4.582946957721142,
        4.582965077579114,
        4.582983197437086,
        4.583001317295058,
        4.58301943715303,
        4.583037557011003,
        4.583055676868974,
        4.583073796726946,
        4.583091916584919,
        4.58311003644289,
        4.583128156300862,
        4.583146276158835,
        4.583164396016807,
        4.583182515874778,
        4.583200635732751,
        4.583218755590723,
        4.583236875448695,
        4.583254995306667,
        4.583273115164639,
        4.583291235022611,
        4.5833093548805826,
        4.583327474738555,
        4.583345594596527,
        4.583363714454499,
        4.583381834312471,
        4.583399954170443,
        4.583418074028415,
        4.583436193886388,
        4.583454313744359,
        4.583472433602331,
        4.583490553460304,
        4.583508673318275,
        4.583526793176247,
        4.583544436195852,
        4.583562556053824,
        4.583580675911796,
        4.583598795769768,
        4.58361691562774,
        4.583635035485712,
        4.583653155343684,
        4.583671275201656,
        4.583689395059628,
        4.5837075149176005,
        4.583725634775572,
        4.583743754633544,
        4.583761397653149,
        4.583779517511121,
        4.583797637369093,
        4.583815757227065,
        4.583833877085037,
        4.583851996943009,
        4.583996478968418,
        4.584014598826389,
        4.5840327186843615,
        4.584050361703966,
        4.584068481561938,
        4.58408660141991,
        4.584104721277882,
        4.584122841135854,
        4.584140960993826,
        4.584158604013431,
        4.5841948437293745,
        4.584212963587347,
        4.584231083445319,
        4.584284966180867,
        4.58437508863236,
        4.5844113283483034,
        4.584429448206276,
        4.58444709122588,
        4.584465211083852,
        4.584483330941825,
        4.584501450799796,
        4.5845190938194005,
        4.584537213677373,
        4.584555333535345,
        4.5845734533933165,
        4.584591573251289,
        4.584609216270893,
        4.584627336128865,
        4.584645455986838,
        4.584663575844809,
        4.5846812188644135,
        4.584699338722386,
        4.584717458580358,
        4.5847351015999624,
        4.584753221457934,
        4.584771341315906,
        4.584789461173878,
        4.584807104193483,
        4.584825224051455,
        4.5848433439094265,
        4.584861463767399,
        4.584879106787003,
        4.5848972266449755,
        4.584915346502947,
        4.584932989522551,
        4.5849511093805235,
        4.584969229238496,
        4.5849868722581,
        4.5850049921160725,
        4.585023111974044,
        4.585040754993648,
        4.585058874851621,
        4.585076994709593,
        4.585095114567564,
        4.585112757587169,
        4.585130877445141,
        4.585148997303113,
        4.585166640322718,
        4.58518476018069,
        4.585202403200294,
        4.585220523058266,
        4.585238642916238,
        4.585256285935842,
        4.585274405793815,
        4.585292525651786,
        4.58531016867139,
        4.585328288529363,
        4.585346408387335,
        4.585364051406939,
        4.585382171264912,
        4.585399814284515,
        4.585417934142487,
        4.58543605400046,
        4.585453697020064,
        4.585471816878036,
        4.585489936736008,
        4.585507579755612,
        4.5855256996135845,
        4.585543342633189,
        4.585561462491161,
        4.5855795823491325,
        4.585597225368737,
        4.585615345226709,
        4.585632988246314,
        4.585651108104286,
        4.58566875112389,
        4.585686870981863,
        4.585704990839834,
        4.585722633859438,
        4.585740753717411,
        4.585758396737015,
        4.585776516594987,
        4.585794159614592,
        4.585812279472563,
        4.5858299224921675,
        4.58584804235014,
        4.585866162208112,
        4.585883805227716,
        4.585901925085688,
        4.585919568105292,
        4.5859376879632645,
        4.585955330982869,
        4.585973450840841,
        4.585991093860446,
        4.586009213718418,
        4.586026856738022,
        4.586044976595994,
        4.586062619615598,
        4.58608073947357,
        4.586098382493175,
        4.586116502351147,
        4.586134145370751,
        4.586152265228723,
        4.586169908248327,
        4.586188028106299,
        4.586205671125904,
        4.586223790983876,
        4.5862414340034805,
        4.586384485513785,
        4.58640212853339,
        4.586420248391362,
        4.5864378914109665,
        4.586456011268939,
        4.586473654288543,
        4.586491774146515,
        4.58650941716612,
        4.586527060185723,
        4.586545180043696,
        4.5865628230633,
        4.586580942921272,
        4.586598585940877,
        4.586616705798849,
        4.586634348818453,
        4.586651991838058,
        4.586670111696029,
        4.5866877547156335,
        4.586705874573606,
        4.58672351759321,
        4.586741160612815,
        4.586759280470787,
        4.586776923490391,
        4.586795043348363,
        4.586812686367967,
        4.586830329387571,
        4.586848449245544,
        4.586866092265148,
        4.5868837352847525,
        4.586901855142725,
        4.586919498162329,
        4.5869376180203005,
        4.586955261039905,
        4.586972904059509,
        4.586991023917482,
        4.587008666937086,
        4.58702630995669,
        4.587044429814663,
        4.587062072834267,
        4.587079715853871,
        4.587097835711843,
        4.587115478731447,
        4.587133121751052,
        4.587151241609024,
        4.587168884628628,
        4.587186527648233,
        4.587204647506205,
        4.587222290525809,
        4.587239933545414,
        4.587258053403385,
        4.5872756964229895,
        4.587293339442594,
        4.587310982462198,
        4.5873291023201705,
        4.587346745339775,
        4.587364388359379,
        4.587382508217352,
        4.587400151236956,
        4.58741779425656,
        4.587435437276165,
        4.587453557134136,
        4.5874712001537405,
        4.587488843173345,
        4.587506963031317,
        4.587524606050922,
        4.587542249070526,
        4.587755395820881,
        4.587773038840486,
        4.58779068186009,
        4.587808801718062,
        4.587826444737666,
        4.58784408775727,
        4.587861730776875,
        4.587879373796479,
        4.587897493654451,
        4.587915136674056,
        4.58793277969366,
        4.587950422713265,
        4.587968065732869,
        4.587986185590841,
        4.588003828610446,
        4.58802147163005,
        4.588039114649654,
        4.588056757669259,
        4.588074400688862,
        4.588092520546835,
        4.588110163566439,
        4.588127806586043,
        4.588145449605648,
        4.588163092625252,
        4.5881807356448565,
        4.588198378664461,
        4.588216498522433,
        4.588234141542038,
        4.588251784561642,
        4.588269427581246,
        4.588287070600851,
        4.588304713620455,
        4.5883223566400595,
        4.588340476498031,
        4.588358119517635,
        4.58837576253724,
        4.588393405556844,
        4.588411048576448,
        4.588428691596053,
        4.588446334615657,
        4.588463977635262,
        4.588481620654866,
        4.588499740512838,
        4.588517383532443,
        4.588535026552047,
        4.588552669571651,
        4.588570312591256,
        4.58858795561086,
        4.588605598630465,
        4.588729576606062,
        4.588764862645271,
        4.588782505664875,
        4.58880014868448,
        4.588817791704084,
        4.588835434723689,
        4.588853077743293,
        4.588870720762897,
        4.588888363782502,
        4.588906006802106,
        4.5889236498217105,
        4.588941292841315,
        4.588958935860919,
        4.588976578880524,
        4.588994221900128,
        4.5890118649197325,
        4.589029507939337,
        4.589047150958941,
        4.589064793978546,
        4.58908243699815,
        4.589100080017754,
        4.589117723037358,
        4.589135366056962,
        4.589153009076567,
        4.589170652096171,
        4.589188295115775,
        4.58920593813538,
        4.589223581154984,
        4.589241224174589,
        4.589258867194193,
        4.589276510213797,
        4.589294153233402,
        4.589311796253006,
        4.5893294392726105,
        4.589347082292215,
        4.589364725311819,
        4.589382368331424,
        4.589400011351028,
        4.5894171775322645,
        4.589434820551869,
        4.589452463571473,
        4.589470106591078,
        4.589487749610682,
        4.5895053926302865,
        4.589523035649891,
        4.589540678669495,
        4.5895583216891,
        4.589575964708704,
        4.589593607728308,
        4.589611250747913,
        4.589628893767517,
        4.589646059948754,
        4.589663702968358,
        4.589681345987962,
        4.589698989007567,
        4.589716632027171,
        4.589734275046776,
        4.58975191806638,
        4.589769561085984,
        4.589787204105589,
        4.589804370286825,
        4.58982201330643,
        4.589839656326034,
        4.589857299345638,
        4.589874942365243,
        4.589892585384847,
        4.5899102284044515,
        4.589927394585688,
        4.589945037605292,
        4.589962680624897,
        4.589980323644501,
        4.5899979666641055,
        4.59001560968371,
        4.590033252703314,
        4.590050418884551,
        4.590068061904155,
        4.59008570492376,
        4.590103347943364,
        4.590120990962968,
        4.590138633982573,
        4.590155800163809,
        4.590173443183414,
        4.590191086203018,
        4.590208729222622,
        4.590226372242227,
        4.590243538423463,
        4.590261181443068,
        4.590278824462672,
        4.590296467482276,
        4.590314110501881,
        4.590331276683117,
        4.590348919702722,
        4.590366562722326,
        4.59038420574193,
        4.590401371923167,
        4.590419014942771,
        4.590436657962376,
        4.59045430098198,
        4.590471944001584,
        4.590489110182822,
        4.590506753202425,
        4.59052439622203,
        4.590542039241634,
        4.590559205422871,
        4.590576848442476,
        4.59059449146208,
        4.590612134481685,
        4.590629300662921,
        4.5906469436825255,
        4.59066458670213,
        4.590681752883366,
        4.590699395902971,
        4.590717038922575,
        4.5907346819421795,
        4.590751848123416,
        4.59076949114302,
        4.590787134162625,
        4.590804300343861,
        4.590821943363466,
        4.59083958638307,
        4.590857229402674,
        4.590874395583911,
        4.590892038603515,
        4.59090968162312,
        4.590926847804356,
        4.5909444908239605,
        4.590962133843565,
        4.590979300024802,
        4.590996943044407,
        4.591014586064011,
        4.5910317522452475,
        4.591049395264852,
        4.591067038284456,
        4.591084204465693,
        4.591101847485297,
        4.5911194905049015,
        4.591136656686138,
        4.591154299705742,
        4.591171942725347,
        4.591189108906583,
        4.591206751926188,
        4.591224394945792,
        4.5912415611270285,
        4.591259204146633,
        4.59127637032787,
        4.591294013347475,
        4.591311656367079,
        4.5913288225483155,
        4.59134646556792,
        4.591364108587524,
        4.591381274768761,
        4.591398917788365,
        4.591416083969602,
        4.591433726989206,
        4.59145137000881,
        4.591468536190047,
        4.591486179209651,
        4.591503345390888,
        4.591520988410492,
        4.5915386314300966,
        4.591555797611334,
        4.591573440630938,
        4.591590606812175,
        4.591608249831779,
        4.591625416013016,
        4.59164305903262,
        4.591660702052224,
        4.591677868233461,
        4.591695511253065,
        4.591712677434302,
        4.591730320453906,
        4.591747486635143,
        4.591765129654747,
        4.591782295835984,
        4.591799938855589,
        4.591817581875193,
        4.59183474805643,
        4.591852391076034,
        4.5918695572572705,
        4.591887200276875,
        4.591904366458111,
        4.591922009477716,
        4.591939175658952,
        4.591956818678557,
        4.591973984859794,
        4.5919916278793975,
        4.592008794060635,
        4.592026437080239,
        4.592043603261476,
        4.59206124628108,
        4.592078412462317,
        4.592096055481921,
        4.5921132216631575,
        4.592130864682762,
        4.592148030863998,
        4.592165673883603,
        4.59218284006484,
        4.5922004830844445,
        4.592217649265681,
        4.592235292285285,
        4.592252458466522,
        4.592269624647758,
        4.592287267667363,
        4.592304433848599,
        4.592322076868204,
        4.592339243049441,
        4.592356886069045,
        4.592374052250282,
        4.592391695269886,
        4.592408861451123,
        4.592426027632359,
        4.592443670651964,
        4.5924608368332,
        4.592478479852804,
        4.592495646034041,
        4.592513289053645,
        4.592530455234883,
        4.592547621416119,
        4.5925652644357235,
        4.59258243061696,
        4.592600073636564,
        4.592617239817801,
        4.592634405999037,
        4.592652049018642,
        4.592669215199879,
        4.5926868582194835,
        4.59270402440072,
        4.5927211905819565,
        4.592738833601561,
        4.592755999782797,
        4.592773642802402,
        4.592790808983638,
        4.592807975164876,
        4.59282561818448,
        4.5928427843657165,
        4.592859950546953,
        4.592877593566557,
        4.592894759747794,
        4.59291192592903,
        4.592929568948635,
        4.592946735129872,
        4.5929643781494764,
        4.592981544330713,
        4.592998710511949,
        4.593016353531554,
        4.59303351971279,
        4.593050685894027,
        4.593068328913631,
        4.5930854950948685,
        4.593102661276105,
        4.5931198274573415,
        4.593137470476946,
        4.593154636658182,
        4.593171802839419,
        4.593189445859023,
        4.593206612040261,
        4.593223778221497,
        4.5932414212411015,
        4.593258587422338,
        4.593275753603574,
        4.593293396623179,
        4.593310562804415,
        4.593327728985653,
        4.593344895166889,
        4.5933625381864935,
        4.59337970436773,
        4.5933968705489665,
        4.593414036730203,
        4.593431679749807,
        4.593448845931045,
        4.593466012112281,
        4.593483655131886,
        4.593500821313122,
        4.593517987494359,
        4.593535153675595,
        4.5935527966951994,
        4.593569962876437,
        4.593587129057673,
        4.59360429523891,
        4.593621461420146,
        4.593639104439751,
        4.593656270620987,
        4.5936734368022245,
        4.593690602983461,
        4.593708246003065,
        4.593725412184302,
        4.593742578365538,
        4.593759744546775,
        4.593776910728012,
        4.593794553747617,
        4.593811719928853,
        4.5938288861100895,
        4.593846052291326,
        4.593863218472563,
        4.593880861492167,
        4.593898027673404,
        4.593915193854641,
        4.593932360035877,
        4.593949526217114,
        4.593967169236718,
        4.5939843354179555,
        4.594001501599192,
        4.5940186677804284,
        4.594035833961665,
        4.594053000142901,
        4.594070643162506,
        4.594087809343743,
        4.59410497552498,
        4.594122141706216,
        4.594139307887453,
        4.594156474068689,
        4.5941736402499265,
        4.594191283269531,
        4.594208449450767,
        4.594225615632004,
        4.59424278181324,
        4.594259947994477,
        4.594277114175714,
        4.594294280356951,
        4.594311446538187,
        4.5943290895577915,
        4.594346255739028,
        4.5943634219202645,
        4.594380588101502,
        4.594397754282738,
        4.594414920463975,
        4.594432086645211,
        4.594449252826449,
        4.594466419007685,
        4.5944840620272895,
        4.594501228208526,
        4.5945183943897625,
        4.594535560570999,
        4.594552726752236,
        4.594569892933473,
        4.594587059114709,
        4.594604225295946,
        4.594621391477182,
        4.5959434258515905,
        4.597299792588472,
        4.597320296638282,
        4.597340800688093,
        4.597361304737903,
        4.597381808787714,
        4.597402312837524,
        4.597422340048967,
        4.597442844098777,
        4.597463348148588,
        4.597483852198398,
        4.5975043562482085,
        4.5975248602980185,
        4.5975453643478295,
        4.5975658683976395,
        4.59758637244745,
        4.597606399658893,
        4.597626903708703,
        4.597647407758514,
        4.597667911808324,
        4.597688415858135,
        4.597708919907945,
        4.597729423957756,
        4.597749451169198,
        4.597769955219009,
        4.597790459268819,
        4.59781096331863,
        4.59783146736844,
        4.597851971418251,
        4.597871998629694,
        4.597892502679504,
        4.597913006729315,
        4.597933510779125,
        4.597954014828936,
        4.597974042040378,
        4.597994546090189,
        4.598015050139999,
        4.59803555418981,
        4.59805605823962,
        4.598076085451063,
        4.598096589500874,
        4.598117093550684,
        4.598137597600495,
        4.598158101650305,
        4.598178128861748,
        4.598198632911558,
        4.598219136961369,
        4.598239641011179,
        4.598259668222622,
        4.598280172272433,
        4.598300676322243,
        4.598321180372054,
        4.598341207583496,
        4.598361711633307,
        4.598382215683117,
        4.598402719732928,
        4.598422746944371,
        4.598443250994181,
        4.5984637550439915,
        4.5984842590938015,
        4.5985042863052445,
        4.598524790355055,
        4.5985452944048655,
        4.5985653216163085,
        4.5985858256661185,
        4.598606329715929,
        4.598626356927372,
        4.5986468609771824,
        4.598667365026993,
        4.5986873922384355,
        4.598707896288246,
        4.598728400338056,
        4.598748904387867,
        4.59876893159931,
        4.59878943564912,
        4.598809939698931,
        4.598829966910373,
        4.598850470960184,
        4.598870498171627,
        4.598891002221437,
        4.598911506271248,
        4.59893153348269,
        4.598952037532501,
        4.598972541582311,
        4.598992568793754,
        4.599013072843565,
        4.599033576893375,
        4.599053604104818,
        4.599074108154628,
        4.599094135366071,
        4.599114639415882,
        4.599135143465692,
        4.599155170677135,
        4.599175674726945,
        4.599195701938388,
        4.599216205988199,
        4.599236710038009,
        4.599256737249452,
        4.599277241299262,
        4.599297268510705,
        4.599317772560516,
        4.599337799771958,
        4.599358303821769,
        4.599378807871579,
        4.599398835083022,
        4.599419339132833,
        4.599439366344275,
        4.599459870394086,
        4.599479897605529,
        4.599500401655339,
        4.599520428866782,
        4.599540932916592,
        4.599561436966403,
        4.599581464177846,
        4.599601968227656,
        4.599621995439099,
        4.599642499488909,
        4.599662526700352,
        4.599683030750163,
        4.599703057961605,
        4.599723562011416,
        4.599743589222859,
        4.599764093272669,
        4.599784120484112,
        4.599804624533922,
        4.599824651745365,
        4.599845155795176,
        4.599865183006618,
        4.599885687056429,
        4.599905714267872,
        4.599925741479314,
        4.599946245529125,
        4.599966272740568,
        4.599986776790378,
        4.600006804001821,
        4.600027308051631,
        4.600047335263074,
        4.600067839312885,
        4.600087866524327,
        4.600108370574138,
        4.600128397785581,
        4.600148424997023,
        4.600168929046834,
        4.600188956258277,
        4.600209460308087,
        4.60022948751953,
        4.600249514730973,
        4.600270018780783,
        4.600290045992226,
        4.600310550042036,
        4.600330577253479,
        4.60035108130329,
        4.600371108514732,
        4.600391135726175,
        4.600411639775986,
        4.600431666987428,
        4.600451694198871,
        4.600472198248682,
        4.600492225460124,
        4.600512729509935,
        4.600532756721378,
        4.60055278393282,
        4.600573287982631,
        4.600593315194074,
        4.6006133424055164,
        4.600633846455327,
        4.60065387366677,
        4.6006739008782125,
        4.600694404928023,
        4.600714432139466,
        4.6007344593509085,
        4.600754963400719,
        4.600774990612162,
        4.600795017823605,
        4.6008155218734155,
        4.6008355490848585,
        4.600855576296301,
        4.6008760803461115,
        4.6008961075575545,
        4.600916134768997,
        4.60093616198044,
        4.6009566660302506,
        4.600976693241693,
        4.600996720453136,
        4.601017224502947,
        4.601037251714389,
        4.601057278925832,
        4.601077306137275,
        4.601097810187086,
        4.601117837398528,
        4.601137864609971,
        4.601157891821414,
        4.601178395871224,
        4.601198423082667,
        4.60121845029411,
        4.601238477505553,
        4.601258981555363,
        4.601279008766806,
        4.601299035978249,
        4.601319063189691,
        4.601339567239502,
        4.601359594450945,
        4.601379621662387,
        4.60139964887383,
        4.601419676085273,
        4.601440180135083,
        4.601460207346526,
        4.601480234557969,
        4.601500261769412,
        4.601520288980854,
        4.601540793030665,
        4.601560820242108,
        4.60158084745355,
        4.601600874664993,
        4.601620901876436,
        4.601640929087879,
        4.601661433137689,
        4.601681460349132,
        4.601701487560575,
        4.601721514772017,
        4.60174154198346,
        4.601761569194903,
        4.6017820732447134,
        4.6018021004561565,
        4.6018221276675995,
        4.6018421548790425,
        4.601862182090485,
        4.601882209301928,
        4.601902236513371,
        4.601922263724814,
        4.601942767774624,
        4.601962794986067,
        4.60198282219751,
        4.602002849408952,
        4.602022876620395,
        4.602042903831838,
        4.602062931043281,
        4.602082958254723,
        4.602102985466166,
        4.602123012677609,
        4.602143516727419,
        4.602163543938862,
        4.602183571150305,
        4.602203598361748,
        4.60222362557319,
        4.602243652784633,
        4.602263679996076,
        4.602283707207519,
        4.602303734418961,
        4.602323761630404,
        4.602544537794643,
        4.602564565006086,
        4.602584592217528,
        4.602604619428971,
        4.602624646640414,
        4.602644673851857,
        4.602664701063299,
        4.602684728274742,
        4.602704278647817,
        4.60272430585926,
        4.602744333070703,
        4.602764360282145,
        4.602784387493588,
        4.602804414705031,
        4.602824441916474,
        4.602844469127916,
        4.602864496339359,
        4.602884523550802,
        4.602904550762245,
        4.602924577973687,
        4.60294460518513,
        4.602964632396573,
        4.602984659608016,
        4.6030046868194585,
        4.6030247140309015,
        4.6030447412423445,
        4.6030647684537875,
        4.60308479566523,
        4.603104346038305,
        4.603124373249748,
        4.603144400461191,
        4.603164427672634,
        4.603184454884076,
        4.603204482095519,
        4.603224509306962,
        4.603244536518405,
        4.603264563729847,
        4.60328459094129,
        4.603304141314365,
        4.603324168525808,
        4.603344195737251,
        4.603364222948693,
        4.603384250160136,
        4.603404277371579,
        4.603424304583022,
        4.603444331794464,
        4.6034638821675395,
        4.6034839093789826,
        4.603503936590426,
        4.603523963801869,
        4.603543991013311,
        4.603564018224754,
        4.603583568597829,
        4.603603595809272,
        4.603623623020715,
        4.603643650232157,
        4.6036636774436,
        4.603683704655043,
        4.603703255028118,
        4.603723282239561,
        4.603743309451003,
        4.603763336662446,
        4.603783363873889,
        4.603802914246964,
        4.603822941458407,
        4.603842968669849,
        4.603862995881292,
        4.6038830230927354,
        4.6039025734658106,
        4.603922600677254,
        4.603942627888696,
        4.603962655100139,
        4.603982205473214,
        4.604002232684657,
        4.6040222598961,
        4.604042287107542,
        4.604061837480617,
        4.60408186469206,
        4.604101891903503,
        4.604121919114946,
        4.604141469488021,
        4.604161496699463,
        4.604181523910906,
        4.604201551122349,
        4.604221101495424,
        4.604241128706867,
        4.6042611559183095,
        4.604280706291385,
        4.604300733502828,
        4.604320760714271,
        4.604340787925714,
        4.604360338298789,
        4.604380365510231,
        4.604400392721674,
        4.604419943094749,
        4.604439970306192,
        4.604459997517635,
        4.60447954789071,
        4.604499575102152,
        4.604519602313595,
        4.60453915268667,
        4.604559179898113,
        4.604579207109556,
        4.6045987574826315,
        4.604618784694074,
        4.604638811905517,
        4.604658362278592,
        4.604678389490035,
        4.604698416701478,
        4.604717967074553,
        4.604737994285995,
        4.604758021497438,
        4.604777571870513,
        4.604797599081956,
        4.604817149455031,
        4.604837176666474,
        4.604857203877916,
        4.604876754250991,
        4.604896781462434,
        4.6049163318355095,
        4.6049363590469525,
        4.6049563862583955,
        4.60497593663147,
        4.604995963842913,
        4.605015514215988,
        4.605035541427431,
        4.605055568638874,
        4.605075119011949,
        4.605095146223391,
        4.605114696596466,
        4.605134723807909,
        4.605154274180984,
        4.605174301392427,
        4.6051938517655024,
        4.6052138789769455,
        4.605233906188388,
        4.605253456561463,
        4.605273483772906,
        4.605293034145981,
        4.605313061357424,
        4.605332611730499,
        4.605352638941942,
        4.605372189315017,
        4.605392216526459,
        4.605411766899534,
        4.605431794110977,
        4.605451344484052,
        4.605471371695495,
        4.6054909220685705,
        4.6055109492800135,
        4.605530499653089,
        4.605550526864531,
        4.605570077237606,
        4.605590104449049,
        4.605609654822124,
        4.605629682033567,
        4.605649232406642,
        4.605669259618085,
        4.60568880999116,
        4.605708837202602,
        4.605728387575677,
        4.60574841478712,
        4.6057679651601955,
        4.6057879923716385,
        4.605807542744714,
        4.605827093117789,
        4.605847120329232,
        4.605866670702307,
        4.605886697913749,
        4.605906248286824,
        4.605926275498267,
        4.605945825871342,
        4.605965376244417,
        4.60598540345586,
        4.606004953828935,
        4.606024981040378,
        4.6060445314134535,
        4.606064558624896,
        4.606084108997971,
        4.606103659371046,
        4.606123686582489,
        4.606143236955564,
        4.606162787328639,
        4.606182814540082,
        4.606202364913157,
        4.606222392124599,
        4.606241942497674,
        4.6062614928707495,
        4.6062815200821925,
        4.606301070455268,
        4.606320620828343,
        4.606340648039786,
        4.606360198412861,
        4.606380225624304,
        4.606399775997379,
        4.606419326370454,
        4.606439353581896,
        4.606458903954971,
        4.606478454328046,
        4.606498481539489,
        4.6065180319125645,
        4.60653758228564,
        4.606557609497083,
        4.606577159870158,
        4.606596710243233,
        4.606616260616308,
        4.606636287827751,
        4.606655838200826,
        4.606675388573901,
        4.606695415785343,
        4.606714966158418,
        4.6067345165314935,
        4.6067545437429365,
        4.606774094116012,
        4.606793644489087,
        4.606813194862162,
        4.606833222073605,
        4.60685277244668,
        4.606872322819755,
        4.60689187319283,
        4.606911900404273,
        4.606931450777348,
        4.606951001150423,
        4.606970551523498,
        4.6069905787349406,
        4.607010129108016,
        4.607029679481091,
        4.607049229854166,
        4.607069257065609,
        4.607088807438684,
        4.607108357811759,
        4.607127908184834,
        4.607147458557909,
        4.607167485769352,
        4.607187036142427,
        4.6072065865155025,
        4.607226136888578,
        4.60724616410002,
        4.607265714473095,
        4.60728526484617,
        4.607304815219245,
        4.60732436559232,
        4.607343915965395,
        4.607363943176838,
        4.607383493549913,
        4.6074030439229885,
        4.607422594296064,
        4.607442144669139,
        4.607462171880582,
        4.607481722253657,
        4.607501272626732,
        4.607520822999807,
        4.607540373372882,
        4.607559923745957,
        4.607579474119032,
        4.607599501330475,
        4.6076190517035505,
        4.607638602076626,
        4.607658152449701,
        4.607677702822776,
        4.607697253195851,
        4.607716803568926,
        4.607736353942001,
        4.607756381153443,
        4.607775931526518,
        4.607795481899593,
        4.6078150322726685,
        4.607834582645744,
        4.607854133018819,
        4.607873683391894,
        4.607893233764969,
        4.607912784138044,
        4.607932334511119,
        4.607951884884194,
        4.607971912095637,
        4.607991462468712,
        4.6080110128417875,
        4.608030563214863,
        4.608050113587938,
        4.608069663961013,
        4.608089214334088,
        4.608108764707163,
        4.608128315080238,
        4.608147865453313,
        4.608167415826388,
        4.608186966199463,
        4.6082065165725385,
        4.608226066945614,
        4.608245617318689,
        4.608265167691764,
        4.608284718064839,
        4.608304268437914,
        4.608323818810989,
        4.608343369184064,
        4.608362919557139,
        4.6083824699302145,
        4.60840202030329,
        4.608421570676365,
        4.60844112104944,
        4.608460671422515,
        4.60848022179559,
        4.608499772168665,
        4.60851932254174,
        4.608538872914815,
        4.6085584232878904,
        4.6085779736609656,
        4.608597524034041,
        4.608617074407116,
        4.608636624780191,
        4.608656175153266,
        4.608675725526341,
        4.608695275899416,
        4.608714826272491,
        4.608734376645566,
        4.6087539270186415,
        4.608773477391717,
        4.608793027764792,
        4.608812578137867,
        4.608831651672574,
        4.608851202045649,
        4.608870752418724,
        4.608890302791799,
        4.6089098531648744,
        4.6089294035379496,
        4.608948953911025,
        4.6089685042841,
        4.608988054657175,
        4.60900760503025,
        4.609027155403325,
        4.609046228938032,
        4.609065779311107,
        4.6090853296841825,
        4.609104880057258,
        4.609124430430333,
        4.609143980803408,
        4.609163531176483,
        4.609183081549558,
        4.609202155084265,
        4.60922170545734,
        4.609241255830415,
        4.6092608062034905,
        4.609280356576566,
        4.609299906949641,
        4.609319457322716,
        4.609338530857424,
        4.609358081230499,
        4.609377631603573,
        4.609397181976648,
        4.6094167323497235,
        4.609436282722799,
        4.609455356257507,
        4.609474906630582,
        4.609494457003657,
        4.609514007376732,
        4.609533557749807,
        4.609552631284514,
        4.609572181657589,
        4.6095917320306645,
        4.60961128240374,
        4.609630832776815,
        4.609649906311522,
        4.609669456684597,
        4.609689007057672,
        4.609708557430747,
        4.6097276309654545,
        4.60974718133853,
        4.609766731711605,
        4.60978628208468,
        4.609805832457755,
        4.609824905992463,
        4.609844456365538,
        4.609864006738613,
        4.609883557111688,
        4.6099026306463955,
        4.610116254235118,
        4.610135804608193,
        4.610155354981268,
        4.610174428515976,
        4.610193978889051,
        4.6102135292621265,
        4.610232602796834,
        4.610252153169909,
        4.610271703542984,
        4.610290777077691,
        4.610310327450766,
        4.610329877823841,
        4.6103489513585485,
        4.610368501731624,
        4.610388052104699,
        4.610407125639407,
        4.610426676012482,
        4.610446226385557,
        4.610465299920264,
        4.610484850293339,
        4.610504400666414,
        4.610523474201122,
        4.610543024574197,
        4.610562098108904,
        4.610581648481979,
        4.610601198855054,
        4.610620272389761,
        4.6106398227628365,
        4.610659373135912,
        4.61067844667062,
        4.610697997043695,
        4.610717070578402,
        4.610736620951477,
        4.610756171324552,
        4.610775244859259,
        4.6107947952323345,
        4.610813868767042,
        4.610833419140117,
        4.610852969513192,
        4.6108720430479,
        4.610891593420975,
        4.610910666955682,
        4.610930217328757,
        4.610949290863465,
        4.61096884123654,
        4.610987914771247,
        4.611007465144322,
        4.611027015517397,
        4.611046089052105,
        4.611065639425179,
        4.6110847129598875,
        4.611104263332963,
        4.61112333686767,
        4.611142887240745,
        4.611161960775452,
        4.611181511148527,
        4.6112005846832345,
        4.61122013505631,
        4.611239208591018,
        4.611258758964093,
        4.6112778324988,
        4.611297382871875,
        4.611316456406582,
        4.611336006779657,
        4.611355080314365,
        4.61137463068744,
        4.611393704222148,
        4.611413254595223,
        4.61143232812993,
        4.611451878503005,
        4.611470952037712,
        4.6114905024107875,
        4.611509575945495,
        4.61152912631857,
        4.611548199853278,
        4.611567750226352,
        4.61158682376106,
        4.611605897295767,
        4.6116254476688425,
        4.61164452120355,
        4.611664071576625,
        4.611683145111332,
        4.611702695484407,
        4.611721769019115,
        4.61174131939219,
        4.6117603929268975,
        4.611779466461605,
        4.61179901683468,
        4.611818090369387,
        4.611837640742462,
        4.61185671427717,
        4.6118757878118775,
        4.611895338184953,
        4.61191441171966,
        4.611933962092735,
        4.611953035627442,
        4.61197210916215,
        4.611991659535225,
        4.6120107330699325,
        4.61202980660464,
        4.612049356977715,
        4.612068430512422,
        4.612087980885497,
        4.612107054420204,
        4.612126127954912,
        4.6121456783279875,
        4.612164751862695,
        4.612183825397402,
        4.612203375770477,
        4.612222449305184,
        4.612241522839892,
        4.612261073212967,
        4.612280146747675,
        4.612299220282382,
        4.612318770655457,
        4.612337844190164,
        4.612356917724872,
        4.612376468097947,
        4.6123955416326545,
        4.612414615167362,
        4.612434165540437,
        4.612453239075144,
        4.612472312609851,
        4.612491862982926,
        4.612510936517634,
        4.612530010052342,
        4.612549083587049,
        4.612568633960124,
        4.612587707494831,
        4.612606781029539,
        4.6126258545642465,
        4.612645404937322,
        4.612664478472029,
        4.612683552006736,
        4.612703102379811,
        4.612722175914519,
        4.612741249449226,
        4.612760322983934,
        4.612779873357009,
        4.612798946891716,
        4.612818020426424,
        4.612837093961131,
        4.612856644334206,
        4.6128757178689135,
        4.612894791403621,
        4.612913864938328,
        4.612932938473036,
        4.612952488846111,
        4.612971562380818,
        4.6129906359155255,
        4.613009709450233,
        4.613028782984941,
        4.613048333358016,
        4.613067406892723,
        4.61308648042743,
        4.6131055539621375,
        4.613124627496846,
        4.613144177869921,
        4.613163251404628,
        4.613182324939335,
        4.613201398474042,
        4.61322047200875,
        4.613239545543458,
        4.613259095916533,
        4.61327816945124,
        4.613297242985947,
        4.613316316520654,
        4.613335390055362,
        4.61335446359007,
        4.613374013963145,
        4.613393087497852,
        4.613412161032559,
        4.613431234567267,
        4.613450308101974,
        4.613469381636682,
        4.613488455171389,
        4.613507528706097,
        4.613527079079172,
        4.613546152613879,
        4.613565226148586,
        4.613584299683294,
        4.613603373218002,
        4.613622446752709,
        4.613641520287416,
        4.613660593822123,
        4.613679667356831,
        4.6136992177299065,
        4.613718291264614,
        4.613737364799321,
        4.613756438334028,
        4.613775511868735,
        4.6137945854034434,
        4.613813658938151,
        4.613832732472858,
        4.613851806007565,
        4.613870879542273,
        4.61388995307698,
        4.613909026611688,
        4.613928100146395,
        4.613947173681103,
        4.61396624721581,
        4.613985320750517,
        4.614004871123592,
        4.6140239446583,
        4.614043018193008,
        4.614062091727715,
        4.614081165262422,
        4.614100238797129,
        4.6141193123318365,
        4.614138385866545,
        4.614157459401252,
        4.614176532935959,
        4.614195606470666,
        4.614214680005374,
        4.6142337535400815,
        4.614252827074789,
        4.614271900609496,
        4.614290974144204,
        4.614310047678911,
        4.614329121213618,
        4.614348194748326,
        4.614367268283034,
        4.614386341817741,
        4.614405415352448,
        4.614424012048788,
        4.6144430855834955,
        4.614462159118203,
        4.61448123265291,
        4.614500306187617,
        4.614519379722325,
        4.614538453257032,
        4.61455752679174,
        4.614576600326447,
        4.614595673861155,
        4.614614747395862,
        4.614633820930569,
        4.6146528944652765,
        4.614671967999985,
        4.614691041534692,
        4.614710115069399,
        4.614728711765739,
        4.614747785300446,
        4.614766858835154,
        4.614785932369861,
        4.614805005904569,
        4.614824079439276,
        4.614843152973983,
        4.6148622265086905,
        4.614881300043398,
        4.614900373578106,
        4.614918970274445,
        4.614938043809152,
        4.61495711734386,
        4.614976190878568,
        4.614995264413275,
        4.615014337947982,
        4.61503341148269,
        4.615052008179029,
        4.615071081713737,
        4.615090155248445,
        4.615109228783152,
        4.615128302317859,
        4.615147375852566,
        4.615166449387274,
        4.615185046083614,
        4.615204119618321,
        4.615223193153028,
        4.615242266687736,
        4.615261340222443,
        4.615280413757151,
        4.615299010453491,
        4.615318083988198,
        4.615337157522905,
        4.615356231057612,
        4.6153753045923205,
        4.61539390128866,
        4.615412974823367,
        4.615432048358075,
        4.615451121892782,
        4.6154701954274895,
        4.61548879212383,
        4.615507865658537,
        4.615526939193244,
        4.615546012727951,
        4.6155646094242915,
        4.615583682958999,
        4.615602756493706,
        4.615621830028413,
        4.615640426724753,
        4.6156595002594605,
        4.615678573794168,
        4.615697647328876,
        4.615716244025215,
        4.615735317559922,
        4.61575439109463,
        4.615773464629338,
        4.615792061325677,
        4.615811134860385,
        4.615830208395092,
        4.615849281929799,
        4.615867878626139,
        4.615886952160847,
        4.615906025695554,
        4.615924622391893,
        4.615943695926601,
        4.615962769461309,
        4.615981366157648,
        4.616000439692356,
        4.616019513227063,
        4.61603858676177,
        4.616057183458111,
        4.616076256992818,
        4.616095330527525,
        4.616113927223865,
        4.616133000758572,
        4.61615207429328,
        4.61617067098962,
        4.616189744524327,
        4.616208818059034,
        4.6162274147553735,
        4.6162464882900816,
        4.616265561824789,
        4.616284158521128,
        4.616303232055836,
        4.6163218287521754,
        4.616340902286883,
        4.616359975821591,
        4.61637857251793,
        4.616397646052637,
        4.616416719587345,
        4.616435316283685,
        4.616454389818392,
        4.616472986514732,
        4.616492060049439,
        4.616511133584146,
        4.616529730280487,
        4.616548803815194,
        4.616567877349901,
        4.616586474046241,
        4.616605547580948,
        4.616624144277288,
        4.616643217811996,
        4.616661814508335,
        4.616680888043042,
        4.61669996157775,
        4.61671855827409,
        4.616737631808797,
        4.616756228505137,
        4.616775302039844,
        4.6167938987361845,
        4.616812972270892,
        4.616832045805599,
        4.616850642501938,
        4.616869716036646,
        4.616888312732986,
        4.616907386267693,
        4.616925982964033,
        4.61694505649874,
        4.61696365319508,
        4.616982726729788,
        4.617001323426127,
        4.617020396960835,
        4.617038993657174,
        4.6170580671918815,
        4.617076663888222,
        4.617095737422929,
        4.617114334119268,
        4.617133407653976,
        4.617152004350316,
        4.617171077885023,
        4.617189674581363,
        4.61720874811607,
        4.61722734481241,
        4.617246418347118,
        4.617265015043457,
        4.617284088578165,
        4.617302685274504,
        4.6173217588092115,
        4.617340355505552,
        4.617359429040259,
        4.617378025736599,
        4.617397099271306,
        4.617415695967646,
        4.617434769502353,
        4.617453366198693,
        4.617471962895032,
        4.61749103642974,
        4.61750963312608,
        4.617528706660787,
        4.617547303357127,
        4.617566376891834,
        4.617772847905042,
        4.617791444601382,
        4.617810518136089,
        4.617829114832429,
        4.6178481883671365,
        4.617866785063476,
        4.617885381759816,
        4.617904455294523,
        4.617923051990863,
        4.617941648687203,
        4.61796072222191,
        4.61797931891825,
        4.617998392452957,
        4.618016989149297,
        4.618035585845637,
        4.618054659380344,
        4.618073256076684,
        4.6180918527730235,
        4.618110926307731,
        4.618129523004071,
        4.61814811970041,
        4.618167193235118,
        4.618185789931458,
        4.618204386627798,
        4.618222983324137,
        4.618242056858844,
        4.6182606535551844,
        4.618279250251524,
        4.618298323786231,
        4.618316920482571,
        4.61833551717891,
        4.6183545907136185,
        4.618373187409958,
        4.618391784106298,
        4.618410380802637,
        4.6184294543373445,
        4.618448051033685,
        4.618466647730024,
        4.618485721264732,
        4.618504317961071,
        4.618522914657412,
        4.618541511353751,
        4.618560584888458,
        4.618579181584798,
        4.618597778281138,
        4.618616374977478,
        4.618635448512185,
        4.618654045208524,
        4.6186726419048645,
        4.618691238601204,
        4.618710312135912,
        4.618728908832251,
        4.618747505528591,
        4.618766102224931,
        4.618784698921271,
        4.618803772455978,
        4.618822369152317,
        4.6188409658486576,
        4.618859562544997,
        4.618878636079704,
        4.618897232776044,
        4.6189158294723835,
        4.618934426168724,
        4.618953022865063,
        4.618971619561403,
        4.61899069309611,
        4.619009289792451,
        4.61902788648879,
        4.61904648318513,
        4.619065079881469,
        4.619084153416177,
        4.619102750112517,
        4.619121346808856,
        4.619139943505196,
        4.619158540201536,
        4.619177136897876,
        4.619195733594215,
        4.619214807128922,
        4.6192334038252625,
        4.619252000521602,
        4.619270597217942,
        4.619289193914281,
        4.6193077906106215,
        4.619326387306961,
        4.619345460841668,
        4.619364057538008,
        4.6193826542343475,
        4.619401250930688,
        4.619419847627027,
        4.619438444323367,
        4.6194570410197064,
        4.619475637716047,
        4.619494234412386,
        4.619513307947094,
        4.619531904643433,
        4.6195505013397735,
        4.619569098036113,
        4.619587694732453,
        4.619606291428792,
        4.619624888125132,
        4.619643484821472,
        4.619662081517811,
        4.619680678214151,
        4.619699274910491,
        4.619717871606831,
        4.61973646830317,
        4.61975506499951,
        4.6197741385342175,
        4.619792735230558,
        4.619811331926897,
        4.619829928623237,
        4.6198485253195765,
        4.619867122015916,
        4.619885718712256,
        4.619904315408595,
        4.619922912104935,
        4.619941508801275,
        4.619960105497615,
        4.619978702193954,
        4.619997298890294,
        4.620015895586634,
        4.620034492282974,
        4.620053088979313,
        4.620071685675653,
        4.620090282371993,
        4.620108879068333,
        4.620127475764672,
        4.620146072461012,
        4.620164669157352,
        4.620183265853692,
        4.620201862550031,
        4.620220459246371,
        4.620239055942711,
        4.620257652639051,
        4.62027624933539,
        4.62029484603173,
        4.62031344272807,
        4.62033203942441,
        4.620350159282381,
        4.620368755978721,
        4.620387352675061,
        4.620405949371401,
        4.62042454606774,
        4.62044314276408,
        4.62046173946042,
        4.62048033615676,
        4.620498932853099,
        4.620517529549439,
        4.620536126245779,
        4.620554722942119,
        4.620573319638458,
        4.620591916334798,
        4.62061003619277,
        4.62062863288911,
        4.620647229585449,
        4.6206658262817895,
        4.620684422978129,
        4.620703019674469,
        4.620721616370808,
        4.620740213067148,
        4.620758809763488,
        4.620777406459828,
        4.620795526317799,
        4.6208141230141395,
        4.620832719710479,
        4.620851316406819,
        4.620869913103158,
        4.6208885097994985,
        4.620907106495838,
        4.62092522635381,
        4.620943823050149,
        4.62096241974649,
        4.620981016442829,
        4.620999613139169,
        4.621018209835508,
        4.621036806531849,
        4.621054926389821,
        4.62107352308616,
        4.6210921197824995,
        4.62111071647884,
        4.621129313175179,
        4.621147433033151,
        4.621166029729491,
        4.621184626425831,
        4.621203223122171,
        4.62122181981851,
        4.6212399396764825,
        4.621258536372822,
        4.621277133069162,
        4.621295729765501,
        4.6213143264618415,
        4.621332446319813,
        4.621351043016153,
        4.621369639712492,
        4.621388236408833,
        4.621406833105172,
        4.621424952963144,
        4.621443549659484,
        4.621462146355824,
        4.621480743052164,
        4.621498862910135,
        4.621517459606475,
        4.621536056302815,
        4.621554652999155,
        4.621572772857126,
        4.6215913695534665,
        4.621609966249806,
        4.621628562946146,
        4.621646682804118,
        4.621665279500458,
        4.621683876196798,
        4.621701996054769,
        4.621720592751109,
        4.621739189447449,
        4.621757786143789,
        4.62177590600176,
        4.6217945026981,
        4.62181309939444,
        4.621831219252412,
        4.621849815948752,
        4.6218684126450915,
        4.621887009341432,
        4.621905129199403,
        4.621923725895743,
        4.621942322592083,
        4.621960442450055,
        4.621979039146395,
        4.621997635842734,
        4.622015755700707,
        4.622034352397046,
        4.622052949093386,
        4.6220710689513576,
        4.622089665647698,
        4.622108262344037,
        4.622126382202009,
        4.6221449788983495,
        4.622163575594689,
        4.622181695452661,
        4.622200292149,
        4.622218412006973,
        4.622237008703312,
        4.622255605399652,
        4.6222737252576245,
        4.622292321953964,
        4.622310918650304,
        4.622329038508275,
        4.622347635204616,
        4.622365755062588,
        4.622384351758927,
        4.622402948455267,
        4.622421068313239,
        4.622439665009579,
        4.62245778486755,
        4.6224763815638905,
        4.62249497826023,
        4.622513098118202,
        4.622531694814542,
        4.622549814672514,
        4.622568411368854,
        4.622586531226826,
        4.6226051279231655,
        4.622623724619506,
        4.622641844477477,
        4.622660441173817,
        4.622678561031789,
        4.622697157728129,
        4.622715277586101,
        4.62273387428244,
        4.622752470978781,
        4.622770590836752,
        4.622789187533092,
        4.6228073073910645,
        4.622825904087404,
        4.622844023945376,
        4.622862620641715,
        4.622880740499688,
        4.622899337196027,
        4.622917457053999,
        4.6229360537503394,
        4.622954173608311,
        4.622972770304651,
        4.622990890162623,
        4.623009486858963,
        4.623027606716935,
        4.623046203413274,
        4.6230643232712465,
        4.623082919967586,
        4.623101039825558,
        4.623119636521898,
        4.62313775637987,
        4.62315635307621,
        4.623174472934182,
        4.6231930696305215,
        4.623211189488494,
        4.623229786184833,
        4.623247906042805,
        4.623266025900778,
        4.623284622597117,
        4.623302742455089,
        4.6233213391514285,
        4.623339459009401,
        4.623358055705741,
        4.623376175563712,
        4.623394772260053,
        4.623412892118025,
        4.623431011975996,
        4.6234496086723365,
        4.623467728530309,
        4.623486325226648,
        4.62350444508462,
        4.62352304178096,
        4.623541161638932,
        4.623559281496904,
        4.6235778781932435,
        4.623595998051216,
        4.623614594747555,
        4.623632714605527,
        4.6236508344635,
        4.623669431159839,
        4.623687551017811,
        4.623706147714151,
        4.623724267572123,
        4.623742387430095,
        4.623760984126434,
        4.623779103984407,
        4.623797223842379,
        4.623815820538718,
        4.623833940396691,
        4.623852060254663,
        4.623870656951002,
        4.6238887768089745,
        4.623907373505314,
        4.623925493363286,
        4.623943613221258,
        4.623962209917598,
        4.62398032977557,
        4.623998449633542,
        4.6240170463298815,
        4.624035166187854,
        4.624053286045826,
        4.624071882742165,
        4.624090002600138,
        4.62410812245811,
        4.624126242316081,
        4.624144839012422,
        4.624162958870394,
        4.624181078728365,
        4.6241996754247054,
        4.624217795282678,
        4.624235915140649,
        4.624254511836989,
        4.624272631694962,
        4.624290751552933,
        4.624308871410905,
        4.624327468107245,
        4.624345587965217,
        4.624363707823189,
        4.6243823045195285,
        4.624400424377501,
        4.624418544235473,
        4.624436664093445,
        4.624455260789785,
        4.624473380647757,
        4.624491500505729,
        4.624509620363701,
        4.624528217060041,
        4.624546336918012,
        4.6245644567759845,
        4.624582576633957,
        4.624600696491929,
        4.624619293188268,
        4.624637413046241,
        4.624655532904213,
        4.624673652762184,
        4.6246922494585245,
        4.624710369316496,
        4.624728489174468,
        4.6247466090324405,
        4.624764728890413,
        4.624783325586752,
        4.624801445444724,
        4.624819565302697,
        4.624837685160668,
        4.62485580501864,
        4.6248744017149805,
        4.624892521572952,
        4.624910641430924,
        4.6249287612888965,
        4.624946881146868,
        4.62496500100484,
        4.62498359770118,
        4.625001717559152,
        4.625019837417124,
        4.625037957275096,
        4.625056077133069,
        4.62507419699104,
        4.62509279368738,
        4.625110913545352,
        4.625129033403324,
        4.625147153261296,
        4.6251652731192685,
        4.62518339297724,
        4.625201512835212,
        4.625220109531552,
        4.625238229389524,
        4.625256349247496,
        4.625274469105468,
        4.62529258896344,
        4.625310708821412,
        4.625546743813416,
        4.625564863671388,
        4.625582983529361,
        4.625601103387333,
        4.625619700083672,
        4.625637819941645,
        4.625655939799616,
        4.625674059657588,
        4.6256921795155606,
        4.625710299373533,
        4.625728419231504,
        4.6257465390894765,
        4.625764658947449,
        4.625782778805421,
        4.6258008986633925,
        4.625819018521365,
        4.626072696532973,
        4.6260908163909455,
        4.626108936248918,
        4.626127056106889,
        4.6261451759648615,
        4.626163295822834,
        4.626181415680806,
        4.6261995355387775,
        4.62621765539675,
        4.626235775254722,
        4.6262538951126935,
        4.626272014970666,
        4.626290134828638,
        4.62630825468661,
        4.626325897706215,
        4.626344017564186,
        4.626362137422158,
        4.626380257280131,
        4.626398377138102,
        4.626416496996074,
        4.626434616854047,
        4.626452736712019,
        4.62647085656999,
        4.626488976427963,
        4.626507096285935,
        4.626525216143907,
        4.626543336001879,
        4.626560979021483,
        4.626579098879455,
        4.626597218737428,
        4.626615338595399,
        4.626633458453371,
        4.6266515783113435,
        4.626669698169316,
        4.626687818027287,
        4.626705461046892,
        4.626723580904864,
        4.626741700762836,
        4.626759820620808,
        4.62677794047878,
        4.626796060336752,
        4.6268141801947245,
        4.626832300052696,
        4.6268499430723,
        4.6268680629302725,
        4.626886182788245,
        4.626904302646217,
        4.6269224225041885,
        4.626940542362161,
        4.626958185381765,
        4.6269763052397375,
        4.626994425097709,
        4.627012544955681,
        4.627030664813653,
        4.627048784671626,
        4.62706642769123,
        4.6270845475492015,
        4.627102667407174,
        4.627120787265146,
        4.6271389071231175,
        4.627156550142722,
        4.627174670000694,
        4.627192789858666,
        4.627210909716639,
        4.62722902957461,
        4.6272466725942145,
        4.627264792452187,
        4.627282912310159,
        4.6273010321681305,
        4.627318675187735,
        4.627336795045707,
        4.6273549149036795,
        4.627373034761652,
        4.627391154619623,
        4.6274087976392275,
        4.6274269174972,
        4.627445037355172,
        4.6274631572131435,
        4.627480800232748,
        4.62749892009072,
        4.6275170399486925,
        4.627535159806665,
        4.627552802826269,
        4.6275709226842405,
        4.627589042542213,
        4.627606685561817,
        4.6276248054197895,
        4.627642925277761,
        4.627661045135733,
        4.627678688155338,
        4.62769680801331,
        4.627714927871282,
        4.6277325708908865,
        4.627750690748858,
        4.62776881060683,
        4.6277869304648025,
        4.627804573484407,
        4.627822693342378,
        4.627840813200351,
        4.627858456219955,
        4.627876576077927,
        4.6278946959358995,
        4.627912338955504,
        4.627930458813475,
        4.627948578671448,
        4.627966221691052,
        4.627984341549024,
        4.628002461406996,
        4.6280201044266,
        4.628038224284572,
        4.628056344142545,
        4.628073987162149,
        4.628092107020121,
        4.628109750039726,
        4.628127869897697,
        4.628145989755669,
        4.628163632775274,
        4.628181752633246,
        4.6281998724912174,
        4.628217515510822,
        4.628235635368794,
        4.6282532783883985,
        4.628271398246371,
        4.628289518104343,
        4.628307161123947,
        4.628325280981919,
        4.628343400839891,
        4.6283610438594955,
        4.628379163717468,
        4.628396806737072,
        4.628414926595044,
        4.628432569614648,
        4.62845068947262,
        4.628468809330593,
        4.628486452350197,
        4.628504572208168,
        4.628522215227773,
        4.628540335085745,
        4.628557978105349,
        4.628576097963322,
        4.628594217821294,
        4.628611860840898,
        4.62862998069887,
        4.628647623718474,
        4.6286657435764464,
        4.628683386596051,
        4.628701506454023,
        4.6287191494736275,
        4.628737269331599,
        4.628755389189571,
        4.628773032209176,
        4.628791152067148,
        4.628808795086752,
        4.628826914944724,
        4.628844557964328,
        4.6288626778223,
        4.628880320841905,
        4.628898440699877,
        4.628916083719481,
        4.628934203577454,
        4.628951846597057,
        4.6289699664550295,
        4.628987609474634,
        4.629005729332606,
        4.6290233723522105,
        4.629041492210183,
        4.629059135229787,
        4.629077255087759,
        4.629094898107363,
        4.629113017965335,
        4.62913066098494,
        4.629148304004544,
        4.629166423862516,
        4.629184066882121,
        4.629202186740092,
        4.6292198297596965,
        4.629237949617669,
        4.629255592637273,
        4.629273712495245,
        4.62929135551485,
        4.629308998534454,
        4.629327118392426,
        4.62934476141203,
        4.629362881270002,
        4.629380524289607,
        4.629398644147579,
        4.629416287167183,
        4.629433930186788,
        4.629452050044759,
        4.6294696930643635,
        4.629487812922336,
        4.62950545594194,
        4.6295235757999125,
        4.629541218819517,
        4.629558861839121,
        4.6295769816970935,
        4.629594624716697,
        4.629612267736301,
        4.629630387594274,
        4.629648030613878,
        4.62966615047185,
        4.629683793491455,
        4.629701436511059,
        4.629719556369031,
        4.629737199388636,
        4.629754842408239,
        4.629772962266212,
        4.629790605285816,
        4.629808725143788,
        4.629826368163393,
        4.629844011182997,
        4.629862131040969,
        4.629879774060574,
        4.629897417080178,
        4.6299155369381495,
        4.629933179957754,
        4.629950822977358,
        4.629968942835331,
        4.629986585854935,
        4.630004228874539,
        4.630022348732512,
        4.630039991752116,
        4.63005763477172,
        4.630075754629692,
        4.630093397649296,
        4.630111040668901,
        4.630128683688505,
        4.630146803546477,
        4.630164446566082,
        4.630182089585686,
        4.630200209443658,
        4.630217852463262,
        4.630235495482866,
        4.6302531385024706,
        4.630271258360443,
        4.630288901380047,
        4.630306544399652,
        4.630324664257624,
        4.630342307277228,
        4.630359950296833,
        4.630377593316437,
        4.6303957131744085,
        4.630413356194013,
        4.630430999213617,
        4.630448642233222,
        4.630466762091194,
        4.630484405110798,
        4.630502048130403,
        4.630519691150007,
        4.630537811007979,
        4.630555454027584,
        4.630573097047188,
        4.6305907400667925,
        4.630608383086397,
        4.630626502944368,
        4.630644145963973,
        4.630661788983577,
        4.630679432003181,
        4.630697551861154,
        4.630715194880758,
        4.6307328379003625,
        4.630750480919967,
        4.630768123939571,
        4.630785766959176,
        4.630803886817148,
        4.630821529836752,
        4.630839172856356,
        4.63085681587596,
        4.630874458895565,
        4.630892578753537,
        4.630910221773141,
        4.630927864792746,
        4.63094550781235,
        4.630963150831954,
        4.630980793851559,
        4.630998913709531,
        4.6310165567291355,
        4.63103419974874,
        4.631051842768344,
        4.631069485787949,
        4.631087128807553,
        4.631104771827157,
        4.631122891685129,
        4.631140534704733,
        4.631158177724338,
        4.631175820743942,
        4.631193463763546,
        4.631211106783151,
        4.631228749802755,
        4.6312463928223595,
        4.631264512680332,
        4.631282155699936,
        4.631299798719541,
        4.631317441739145,
        4.631335084758749,
        4.631352727778354,
        4.631370370797958,
        4.6313880138175625,
        4.631405656837167,
        4.63142329985677,
        4.631440942876375,
        4.631459062734347,
        4.631476705753951,
        4.631494348773556,
        4.63151199179316,
        4.631529634812765,
        4.631547277832369,
        4.631564920851973,
        4.631582563871578,
        4.631600206891182,
        4.6316178499107865,
        4.631635492930391,
        4.631653135949995,
        4.6316707789696,
        4.631688421989204,
        4.631706065008808,
        4.631723708028413,
        4.631741351048017,
        4.631758994067622,
        4.631776637087226,
        4.631794756945197,
        4.631812399964802,
        4.631830042984406,
        4.6318476860040105,
        4.631865329023615,
        4.631882972043219,
        4.631900615062824,
        4.631918258082428,
        4.6319359011020325,
        4.631953544121637,
        4.631971187141241,
        4.631988830160846,
        4.63200647318045,
        4.632024116200054,
        4.632041759219659,
        4.632058925400895,
        4.6320765684205,
        4.632094211440104,
        4.632111854459708,
        4.632129497479313,
        4.632147140498917,
        4.632164783518522,
        4.632182426538126,
        4.63220006955773,
        4.632217712577335,
        4.632235355596939,
        4.6322529986165435,
        4.632270641636148,
        4.632288284655752,
        4.632305927675357,
        4.632323570694961,
        4.632341213714565,
        4.63235885673417,
        4.632376499753774,
        4.632394142773379,
        4.632411308954615,
        4.6324289519742194,
        4.632446594993824,
        4.632464238013428,
        4.632481881033033,
        4.632499524052637,
        4.632517167072241,
        4.632534810091846,
        4.63255245311145,
        4.6325700961310545,
        4.632587262312291,
        4.632604905331895,
        4.6326225483515,
        4.632640191371104,
        4.6326578343907086,
        4.632675477410313,
        4.632693120429917,
        4.632710763449522,
        4.632728406469125,
        4.632745572650363,
        4.632763215669967,
        4.632780858689571,
        4.632798501709176,
        4.63281614472878,
        4.6328337877483845,
        4.632850953929621,
        4.632868596949225,
        4.63288623996883,
        4.632903882988434,
        4.6329215260080385,
        4.632939169027643,
        4.632956812047247,
        4.632973978228484,
        4.632991621248088,
        4.6330092642676926,
        4.633026907287297,
        4.633044550306901,
        4.633061716488138,
        4.633079359507742,
        4.633097002527347,
        4.633114645546951,
        4.633132288566555,
        4.633149454747792,
        4.633167097767396,
        4.6333950265071495,
        4.633412669526754,
        4.633430312546358,
        4.633447955565963,
        4.633465121747199,
        4.6334827647668035,
        4.633500407786408,
        4.633517573967645,
        4.63353521698725,
        4.633552860006853,
        4.633570503026458,
        4.633587669207695,
        4.633605312227299,
        4.633622955246904,
        4.633640598266508,
        4.633657764447745,
        4.633675407467349,
        4.633693050486953,
        4.63371021666819,
        4.633727859687794,
        4.633745502707399,
        4.633762668888635,
        4.6337803119082395,
        4.633797954927844,
        4.633815597947448,
        4.633832764128685,
        4.633850407148289,
        4.6338680501678935,
        4.63388521634913,
        4.633902859368734,
        4.633920502388339,
        4.633937668569576,
        4.63395531158918,
        4.633972954608784,
        4.633990120790021,
        4.634007763809626,
        4.63402540682923,
        4.634042573010467,
        4.634060216030071,
        4.634077859049675,
        4.634095025230912,
        4.634112668250516,
        4.634129834431753,
        4.634147477451357,
        4.6341651204709615,
        4.634182286652198,
        4.634199929671802,
        4.634217572691407,
        4.634234738872643,
        4.634252381892248,
        4.634269548073485,
        4.634287191093089,
        4.634304834112694,
        4.63432200029393,
        4.634339643313535,
        4.634356809494771,
        4.6343744525143755,
        4.63439209553398,
        4.634409261715216,
        4.634426904734821,
        4.634444070916057,
        4.634461713935662,
        4.634478880116899,
        4.6344965231365025,
        4.634514166156107,
        4.634531332337344,
        4.634548975356949,
        4.634566141538185,
        4.6345837845577895,
        4.634600950739026,
        4.63461859375863,
        4.634636236778235,
        4.634653402959471,
        4.634671045979076,
        4.634688212160312,
        4.6347058551799165,
        4.634723021361154,
        4.634740664380758,
        4.634757830561995,
        4.634775473581599,
        4.634792639762836,
        4.63481028278244,
        4.6348274489636765,
        4.634845091983281,
        4.634862258164517,
        4.634879901184122,
        4.634897067365358,
        4.634914710384963,
        4.6349318765662,
        4.634949519585804,
        4.634966685767041,
        4.634984328786645,
        4.635001494967882,
        4.635019137987486,
        4.635036304168723,
        4.635053947188327,
        4.6350711133695635,
        4.635088756389168,
        4.635105922570405,
        4.63512356559001,
        4.635140731771246,
        4.6351583747908505,
        4.635175540972087,
        4.635193183991691,
        4.635210350172928,
        4.635227993192532,
        4.635245159373769,
        4.635262325555006,
        4.6352799685746096,
        4.635297134755847,
        4.635314777775451,
        4.635331943956688,
        4.635349586976292,
        4.635366753157529,
        4.635383919338765,
        4.6354015623583695,
        4.635418728539606,
        4.63543637155921,
        4.635453537740448,
        4.635471180760052,
        4.635488346941289,
        4.636984188900717,
        4.6385496492618286,
        4.6385706301500065,
        4.638591134199817,
        4.638611638249627,
        4.638632619137805,
        4.638653123187616,
        4.638673627237426,
        4.638694608125605,
        4.638715112175415,
        4.638735616225226,
        4.638756120275036,
        4.638777101163214,
        4.638797605213025,
        4.638818109262835,
        4.638839090151014,
        4.638859594200824,
        4.638880098250635,
        4.638900602300445,
        4.6389215831886235,
        4.6389420872384335,
        4.638962591288244,
        4.638983095338054,
        4.639004076226232,
        4.639024580276043,
        4.639045084325853,
        4.639065588375664,
        4.639086569263842,
        4.639107073313653,
        4.639127577363463,
        4.639148081413274,
        4.639169062301452,
        4.639189566351262,
        4.639210070401073,
        4.639230574450883,
        4.639251078500694,
        4.639272059388872,
        4.639292563438683,
        4.639313067488493,
        4.6393335715383035,
        4.6393540755881135,
        4.6393750564762914,
        4.639395560526102,
        4.639416064575912,
        4.639436568625723,
        4.639457072675533,
        4.639478053563712,
        4.639498557613522,
        4.639519061663333,
        4.639539565713143,
        4.639560069762954,
        4.639580573812764,
        4.639601077862575,
        4.639622058750753,
        4.639642562800563,
        4.639663066850374,
        4.639683570900184,
        4.639704074949995,
        4.639724578999806,
        4.639745083049616,
        4.6397655870994265,
        4.6397865679876045,
        4.6398070720374145,
        4.639827576087225,
        4.639848080137035,
        4.639868584186846,
        4.639889088236656,
        4.639909592286467,
        4.639930096336277,
        4.639950600386088,
        4.639971104435898,
        4.639992085324077,
        4.640012589373887,
        4.640033093423698,
        4.640053597473508,
        4.640074101523319,
        4.640094605573129,
        4.64011510962294,
        4.64013561367275,
        4.640156117722561,
        4.640176621772371,
        4.640197125822182,
        4.640217629871992,
        4.640238133921803,
        4.640258637971613,
        4.6402791420214236,
        4.640299646071234,
        4.6403201501210445,
        4.6403406541708545,
        4.640361158220665,
        4.640381662270475,
        4.640402166320286,
        4.640422670370096,
        4.640443174419907,
        4.640463678469717,
        4.640484182519528,
        4.640504686569338,
        4.640525190619149,
        4.640545694668959,
        4.64056619871877,
        4.64058670276858,
        4.640607206818391,
        4.640627710868201,
        4.640648214918012,
        4.640668718967822,
        4.640689223017633,
        4.640709727067443,
        4.640730231117254,
        4.640750735167064,
        4.640771239216875,
        4.640791743266685,
        4.640812247316496,
        4.640832751366306,
        4.640853255416117,
        4.640873759465927,
        4.64089378667737,
        4.6409142907271805,
        4.640934794776991,
        4.6409552988268015,
        4.6409758028766115,
        4.640996306926422,
        4.641016810976232,
        4.641037315026043,
        4.641057819075853,
        4.641078323125664,
        4.641098350337106,
        4.641118854386917,
        4.641139358436727,
        4.641159862486538,
        4.641343922096465,
        4.641364426146275,
        4.641384453357718,
        4.641404957407528,
        4.641425461457339,
        4.641445965507149,
        4.64146646955696,
        4.64148697360677,
        4.641507000818213,
        4.641527504868024,
        4.641548008917834,
        4.641568512967645,
        4.641589017017455,
        4.641609044228898,
        4.641629548278708,
        4.641650052328519,
        4.641670556378329,
        4.64169106042814,
        4.641711087639583,
        4.641731591689393,
        4.6417520957392036,
        4.641772599789014,
        4.641792627000457,
        4.641813131050267,
        4.6418336351000775,
        4.641854139149888,
        4.6418741663613305,
        4.6418946704111415,
        4.6419151744609515,
        4.641935678510762,
        4.641955705722205,
        4.641976209772015,
        4.641996713821826,
        4.642017217871636,
        4.642037245083079,
        4.642057749132889,
        4.6420782531827,
        4.642098280394143,
        4.642118784443953,
        4.642139288493764,
        4.642159792543574,
        4.642179819755017,
        4.642200323804827,
        4.642220827854638,
        4.642240855066081,
        4.642261359115891,
        4.642281863165702,
        4.642301890377144,
        4.642322394426955,
        4.642342898476765,
        4.642362925688208,
        4.642383429738019,
        4.642403933787829,
        4.642423960999272,
        4.642444465049082,
        4.642464969098893,
        4.642484996310336,
        4.642505500360146,
        4.642526004409957,
        4.642546031621399,
        4.64256653567121,
        4.642586562882653,
        4.642607066932463,
        4.642627570982274,
        4.642647598193716,
        4.642668102243527,
        4.642688606293337,
        4.64270863350478,
        4.642729137554591,
        4.642749164766033,
        4.642769668815844,
        4.642790172865654,
        4.642810200077097,
        4.642830704126908,
        4.64285073133835,
        4.642871235388161,
        4.642891262599604,
        4.642911766649414,
        4.642932270699225,
        4.642952297910667,
        4.642972801960478,
        4.642992829171921,
        4.643013333221731,
        4.643033360433174,
        4.643053864482984,
        4.643073891694427,
        4.643094395744238,
        4.643114899794048,
        4.643134927005491,
        4.643155431055301,
        4.643175458266744,
        4.643195962316555,
        4.643215989527997,
        4.643236493577808,
        4.643256520789251,
        4.643277024839061,
        4.643297052050504,
        4.643317556100314,
        4.643337583311757,
        4.643358087361568,
        4.64337811457301,
        4.643398618622821,
        4.643418645834264,
        4.643439149884074,
        4.643459177095517,
        4.643479681145327,
        4.64349970835677,
        4.643519735568213,
        4.643540239618023,
        4.643560266829466,
        4.643580770879277,
        4.643600798090719,
        4.64362130214053,
        4.643641329351973,
        4.643661833401783,
        4.643681860613226,
        4.643701887824669,
        4.643722391874479,
        4.643742419085922,
        4.643762923135732,
        4.643782950347175,
        4.643803454396986,
        4.643823481608428,
        4.643843508819871,
        4.643864012869682,
        4.643884040081125,
        4.643904544130935,
        4.643924571342378,
        4.643944598553821,
        4.643965102603631,
        4.643985129815074,
        4.644005157026517,
        4.644025661076327,
        4.64404568828777,
        4.64406619233758,
        4.644086219549023,
        4.644106246760466,
        4.644126750810276,
        4.644146778021719,
        4.644166805233162,
        4.644187309282972,
        4.644207336494415,
        4.644227363705858,
        4.644247867755668,
        4.644267894967111,
        4.644287922178554,
        4.644308426228364,
        4.644328453439807,
        4.64434848065125,
        4.64436898470106,
        4.644389011912503,
        4.644409039123946,
        4.644429543173756,
        4.644449570385199,
        4.644469597596642,
        4.644490101646452,
        4.644510128857895,
        4.644530156069338,
        4.644550183280781,
        4.644570687330591,
        4.644590714542034,
        4.644610741753477,
        4.6446307689649196,
        4.6446512730147305,
        4.6446713002261735,
        4.644691327437616,
        4.6447118314874265,
        4.6447318586988695,
        4.644751885910312,
        4.644771913121755,
        4.6447924171715655,
        4.644812444383008,
        4.644832471594451,
        4.644852498805894,
        4.644872526017337,
        4.644893030067147,
        4.64491305727859,
        4.644933084490033,
        4.644953111701475,
        4.644973615751286,
        4.644993642962729,
        4.645013670174171,
        4.645033697385614,
        4.645053724597057,
        4.645074228646867,
        4.64509425585831,
        4.645114283069753,
        4.645134310281196,
        4.645154337492638,
        4.645174364704081,
        4.645194868753892,
        4.645214895965334,
        4.645234923176777,
        4.64525495038822,
        4.645274977599663,
        4.645295004811105,
        4.645315508860916,
        4.645335536072359,
        4.645355563283801,
        4.645375590495244,
        4.645395617706687,
        4.64541564491813,
        4.645435672129572,
        4.645456176179383,
        4.645476203390826,
        4.6454962306022685,
        4.6455162578137115,
        4.6455362850251545,
        4.6455563122365975,
        4.64573703397795,
        4.645757061189393,
        4.645777088400836,
        4.645797115612278,
        4.645817142823721,
        4.645837170035164,
        4.645857197246607,
        4.645877224458049,
        4.645897251669492,
        4.645917278880935,
        4.645937306092378,
        4.645957810142188,
        4.645977837353631,
        4.645997864565074,
        4.646017891776516,
        4.646037918987959,
        4.646057946199402,
        4.646077973410845,
        4.646098000622287,
        4.64611802783373,
        4.646138055045173,
        4.646158082256616,
        4.6461781094680585,
        4.6461981366795015,
        4.6462181638909446,
        4.646238191102388,
        4.64625821831383,
        4.646278245525273,
        4.646298272736716,
        4.646318299948159,
        4.646338327159601,
        4.646358354371044,
        4.646378381582487,
        4.64639840879393,
        4.646417959167005,
        4.646437986378447,
        4.64645801358989,
        4.646478040801333,
        4.646498068012776,
        4.646518095224218,
        4.646538122435661,
        4.646558149647104,
        4.646578176858547,
        4.646598204069989,
        4.646618231281432,
        4.646638258492875,
        4.646658285704318,
        4.6466783129157605,
        4.6466983401272035,
        4.646717890500279,
        4.646737917711722,
        4.646757944923165,
        4.646777972134607,
        4.64679799934605,
        4.646818026557493,
        4.646838053768935,
        4.646858080980378,
        4.646878108191821,
        4.646897658564896,
        4.646917685776339,
        4.646937712987781,
        4.646957740199224,
        4.646977767410667,
        4.64699779462211,
        4.647017821833552,
        4.647037372206627,
        4.64705739941807,
        4.647077426629513,
        4.647097453840956,
        4.6471174810523985,
        4.6471375082638415,
        4.647157058636917,
        4.64717708584836,
        4.647197113059803,
        4.647217140271245,
        4.647237167482688,
        4.647257194694131,
        4.647276745067206,
        4.647296772278649,
        4.647316799490091,
        4.647336826701534,
        4.647356853912977,
        4.647376404286052,
        4.647396431497495,
        4.647416458708937,
        4.64743648592038,
        4.647456513131823,
        4.647476063504898,
        4.647496090716341,
        4.6475161179277835,
        4.6475361451392265,
        4.647555695512302,
        4.647575722723745,
        4.647595749935188,
        4.64761577714663,
        4.647635327519705,
        4.647655354731148,
        4.647675381942591,
        4.647695409154034,
        4.647714959527109,
        4.647734986738551,
        4.647755013949994,
        4.647775041161437,
        4.647794591534512,
        4.647814618745955,
        4.647834645957397,
        4.6478541963304725,
        4.6478742235419155,
        4.6478942507533585,
        4.647913801126434,
        4.647933828337877,
        4.647953855549319,
        4.647973882760762,
        4.647993433133837,
        4.64801346034528,
        4.648033487556723,
        4.648053037929798,
        4.64807306514124,
        4.648093092352683,
        4.648112642725758,
        4.648132669937201,
        4.648152697148644,
        4.648172247521719,
        4.648192274733161,
        4.648212301944604,
        4.6482318523176795,
        4.6482518795291226,
        4.648271429902198,
        4.648291457113641,
        4.648311484325083,
        4.648331034698158,
        4.648351061909601,
        4.648371089121044,
        4.648390639494119,
        4.648410666705562,
        4.648430217078637,
        4.648450244290079,
        4.648470271501522,
        4.648489821874597,
        4.64850984908604,
        4.6485293994591155,
        4.6485494266705585,
        4.648569453882001,
        4.648589004255076,
        4.648609031466519,
        4.648628581839594,
        4.648648609051037,
        4.64866863626248,
        4.648688186635555,
        4.648708213846997,
        4.648727764220072,
        4.648747791431515,
        4.64876734180459,
        4.648787369016033,
        4.648806919389108,
        4.6488269466005505,
        4.648846496973626,
        4.648866524185069,
        4.648886551396512,
        4.648906101769587,
        4.64892612898103,
        4.648945679354105,
        4.648965706565547,
        4.648985256938622,
        4.649005284150065,
        4.64902483452314,
        4.649044861734583,
        4.649064412107658,
        4.649084439319101,
        4.649103989692176,
        4.6491240169036185,
        4.649143567276694,
        4.649163594488137,
        4.649183144861212,
        4.649203172072655,
        4.64922272244573,
        4.649242749657173,
        4.649262300030248,
        4.649281850403323,
        4.649381032783801,
        4.6494005831568765,
        4.6494206103683196,
        4.649440160741395,
        4.64945971111447,
        4.649479738325912,
        4.649499288698987,
        4.64951931591043,
        4.649538866283505,
        4.649558893494948,
        4.649578443868023,
        4.649597994241098,
        4.649618021452541,
        4.649637571825616,
        4.6496575990370586,
        4.649677149410134,
        4.649696699783209,
        4.649716726994652,
        4.649736277367727,
        4.649755827740802,
        4.649775854952245,
        4.64979540532532,
        4.649815432536763,
        4.649834982909838,
        4.649854533282913,
        4.649874560494355,
        4.6498941108674305,
        4.649913661240506,
        4.649933688451949,
        4.649953238825024,
        4.649972789198099,
        4.649992816409542,
        4.650012366782617,
        4.650031917155692,
        4.650051944367134,
        4.650071494740209,
        4.650091045113284,
        4.650111072324727,
        4.6501306226978025,
        4.650150173070878,
        4.650170200282321,
        4.650189750655396,
        4.650209301028471,
        4.650229328239914,
        4.650248878612989,
        4.650268428986064,
        4.650287979359139,
        4.650308006570581,
        4.650327556943656,
        4.6503471073167315,
        4.6503671345281745,
        4.65038668490125,
        4.650406235274325,
        4.6504257856474,
        4.650445812858843,
        4.650465363231918,
        4.650484913604993,
        4.650504463978068,
        4.650524491189511,
        4.650544041562586,
        4.650563591935661,
        4.6505831423087365,
        4.650603169520179,
        4.650622719893254,
        4.650642270266329,
        4.650661820639404,
        4.650681847850847,
        4.650701398223922,
        4.650720948596997,
        4.650740498970072,
        4.650760049343147,
        4.65078007655459,
        4.6507996269276655,
        4.650819177300741,
        4.650838727673816,
        4.650858278046891,
        4.650878305258334,
        4.650897855631409,
        4.650917406004483,
        4.650936956377558,
        4.650956506750633,
        4.650976057123708,
        4.650996084335151,
        4.6510156347082265,
        4.651035185081302,
        4.651054735454377,
        4.651074285827452,
        4.651093836200527,
        4.65111386341197,
        4.651133413785045,
        4.65115296415812,
        4.651172514531195,
        4.65119206490427,
        4.6512116152773455,
        4.651231165650421,
        4.651250716023496,
        4.651270743234939,
        4.651290293608014,
        4.651309843981089,
        4.651329394354164,
        4.651348944727239,
        4.651368495100314,
        4.651388045473389,
        4.6514075958464645,
        4.65142714621954,
        4.651446696592615,
        4.651466723804057,
        4.651486274177132,
        4.651505824550207,
        4.651525374923282,
        4.651544925296357,
        4.651564475669432,
        4.651584026042507,
        4.6516035764155825,
        4.651623126788658,
        4.651642677161733,
        4.651662227534808,
        4.651681777907883,
        4.651701328280958,
        4.651720878654033,
        4.651740429027108,
        4.651759979400183,
        4.6517795297732585,
        4.651799080146334,
        4.651818630519409,
        4.651838657730852,
        4.651858208103927,
        4.651877758477002,
        4.651897308850077,
        4.651916859223152,
        4.651936409596227,
        4.651955959969302,
        4.651975510342377,
        4.6519950607154525,
        4.652014611088528,
        4.652034161461603,
        4.652053711834678,
        4.652072785369385,
        4.65209233574246,
        4.652111886115535,
        4.65213143648861,
        4.6521509868616855,
        4.652170537234761,
        4.652190087607836,
        4.652209637980911,
        4.652229188353986,
        4.652248738727061,
        4.652268289100136,
        4.652287839473211,
        4.652307389846286,
        4.652326940219361,
        4.6523464905924365,
        4.652366040965512,
        4.652385591338587,
        4.652405141711662,
        4.652424692084737,
        4.652443765619444,
        4.652463315992519,
        4.652482866365594,
        4.6525024167386695,
        4.652521967111745,
        4.65254151748482,
        4.652561067857895,
        4.65258061823097,
        4.652600168604045,
        4.65261971897712,
        4.652638792511827,
        4.652658342884902,
        4.6526778932579775,
        4.652697443631053,
        4.652716994004128,
        4.652736544377203,
        4.652756094750278,
        4.652775645123353,
        4.652794718658061,
        4.652814269031136,
        4.652833819404211,
        4.6528533697772865,
        4.652872920150362,
        4.652892470523437,
        4.652911544058144,
        4.652931094431219,
        4.652950644804294,
        4.652970195177369,
        4.652989745550444,
        4.653009295923519,
        4.653028369458227,
        4.653047919831302,
        4.653067470204377,
        4.653087020577452,
        4.653106570950527,
        4.653125644485234,
        4.653145194858309,
        4.6531647452313845,
        4.65318429560446,
        4.653203845977535,
        4.653222919512242,
        4.653242469885317,
        4.653262020258392,
        4.653281570631467,
        4.653300644166175,
        4.65332019453925,
        4.6533397449123255,
        4.653359295285401,
        4.653378368820108,
        4.653397919193183,
        4.653417469566258,
        4.653437019939333,
        4.65345609347404,
        4.653475643847115,
        4.6534951942201905,
        4.653514744593266,
        4.653533818127973,
        4.653553368501048,
        4.653572918874123,
        4.653592469247198,
        4.653611542781906,
        4.653631093154981,
        4.653650643528056,
        4.653669717062764,
        4.653689267435839,
        4.653708817808914,
        4.653727891343621,
        4.653747441716696,
        4.653766992089771,
        4.653786542462846,
        4.653805615997554,
        4.653825166370629,
        4.653844716743704,
        4.653863790278411,
        4.653883340651486,
        4.653902891024561,
        4.653921964559269,
        4.653941514932344,
        4.6539610653054195,
        4.653980138840127,
        4.653999689213202,
        4.654019239586277,
        4.654038313120984,
        4.654057863494059,
        4.6540769370287665,
        4.654096487401842,
        4.654116037774917,
        4.654135111309625,
        4.6541546616827,
        4.654174212055775,
        4.654193285590482,
        4.654212835963557,
        4.6542319094982645,
        4.65425145987134,
        4.654271010244415,
        4.654290083779122,
        4.654309634152197,
        4.654328707686904,
        4.654348258059979,
        4.654367808433054,
        4.6543868819677625,
        4.654406432340838,
        4.654425505875545,
        4.65444505624862,
        4.654464129783327,
        4.654483680156402,
        4.654503230529477,
        4.6545223040641845,
        4.65454185443726,
        4.654560927971968,
        4.654580478345043,
        4.65459955187975,
        4.654619102252825,
        4.654638175787532,
        4.6546577261606075,
        4.654676799695315,
        4.65469635006839,
        4.654715900441465,
        4.654734973976172,
        4.654754524349247,
        4.654773597883955,
        4.65479314825703,
        4.654812221791738,
        4.654831772164813,
        4.65485084569952,
        4.654870396072595,
        4.654889469607302,
        4.654909019980377,
        4.654928093515085,
        4.6549476438881605,
        4.654966717422868,
        4.654986267795943,
        4.65500534133065,
        4.655024414865357,
        4.655043965238432,
        4.65506303877314,
        4.6550825891462155,
        4.655101662680923,
        4.655121213053998,
        4.655140286588705,
        4.65515983696178,
        4.655178910496487,
        4.6551984608695625,
        4.65521753440427,
        4.655236607938978,
        4.655256158312053,
        4.65527523184676,
        4.655294782219835,
        4.655313855754542,
        4.6553334061276175,
        4.655352479662325,
        4.655371553197033,
        4.655391103570108,
        4.655410177104815,
        4.65542972747789,
        4.655448801012597,
        4.655467874547305,
        4.65548742492038,
        4.655506498455088,
        4.655526048828163,
        4.65554512236287,
        4.655564195897577,
        4.655583746270652,
        4.65560281980536,
        4.655621893340068,
        4.655641443713143,
        4.65566051724785,
        4.655680067620925,
        4.655699141155632,
        4.6557182146903395,
        4.655737765063415,
        4.655756838598122,
        4.65577591213283,
        4.655795462505905,
        4.655814536040612,
        4.655833609575319,
        4.6558531599483945,
        4.655872233483102,
        4.65589130701781,
        4.655910857390885,
        4.655929930925592,
        4.655949004460299,
        4.6559685548333745,
        4.655987628368082,
        4.65600670190279,
        4.656025775437497,
        4.656045325810572,
        4.656064399345279,
        4.6560834728799865,
        4.656103023253062,
        4.656122096787769,
        4.656141170322477,
        4.656160243857184,
        4.656179794230259,
        4.656198867764966,
        4.656217941299674,
        4.656237491672749,
        4.656256565207457,
        4.656275638742164,
        4.656294712276871,
        4.656314262649946,
        4.6563333361846535,
        4.656352409719362,
        4.656371483254069,
        4.656390556788776,
        4.656410107161851,
        4.656429180696558,
        4.656448254231266,
        4.656467327765974,
        4.656486878139049,
        4.656505951673756,
        4.656525025208463,
        4.65654409874317,
        4.656563172277878,
        4.6565827226509535,
        4.656601796185661,
        4.656620869720368,
        4.656639943255075,
        4.656659016789783,
        4.656678567162858,
        4.6566976406975655,
        4.656716714232273,
        4.65673578776698,
        4.656754861301688,
        4.656831632278885,
        4.656850705813593,
        4.6568697793483,
        4.656889329721375,
        4.656908403256082,
        4.6569274767907896,
        4.656946550325497,
        4.656965623860205,
        4.656984697394912,
        4.657003770929619,
        4.6570228444643265,
        4.657042394837402,
        4.65706146837211,
        4.657080541906817,
        4.657099615441524,
        4.657118688976231,
        4.657137762510939,
        4.657156836045647,
        4.657175909580354,
        4.657195459953429,
        4.657214533488136,
        4.657233607022844,
        4.657252680557551,
        4.657271754092259,
        4.657290827626966,
        4.657309901161674,
        4.657328974696381,
        4.657348048231088,
        4.6573671217657955,
        4.657386195300503,
        4.657405268835211,
        4.657424342369918,
        4.657443415904625,
        4.6574629662777,
        4.6574820398124075,
        4.657501113347116,
        4.657520186881823,
        4.65753926041653,
        4.657558333951237,
        4.657577407485945,
        4.6575964810206525,
        4.65761555455536,
        4.657634628090067,
        4.657653701624775,
        4.657672775159482,
        4.657691848694189,
        4.657710922228897,
        4.657729995763604,
        4.657749069298312,
        4.657768142833019,
        4.657787216367726,
        4.6578062899024335,
        4.657825363437142,
        4.657844436971849,
        4.657863510506556,
        4.657882584041263,
        4.657901657575971,
        4.6579207311106785,
        4.657939804645386,
        4.657958878180093,
        4.657977951714801,
        4.657997025249508,
        4.658016098784215,
        4.658035172318923,
        4.658054245853631,
        4.658073319388338,
        4.658091916084677,
        4.658110989619384,
        4.6581300631540925,
        4.6581491366888,
        4.658168210223507,
        4.658187283758214,
        4.658206357292922,
        4.658225430827629,
        4.658244504362337,
        4.658263577897044,
        4.658282651431752,
        4.658301724966459,
        4.658320798501166,
        4.6583393951975065,
        4.658358468732214,
        4.658377542266921,
        4.658396615801628,
        4.658415689336336,
        4.658434762871043,
        4.658453836405751,
        4.658472909940458,
        4.658491983475165,
        4.658510580171505,
        4.658529653706212,
        4.65854872724092,
        4.658567800775628,
        4.658586874310335,
        4.658605947845042,
        4.658625021379749,
        4.658644094914457,
        4.658662691610797,
        4.658681765145504,
        4.658700838680212,
        4.658719912214919,
        4.658738985749626,
        4.658758059284334,
        4.658776655980674,
        4.658795729515381,
        4.658814803050088,
        4.658833876584795,
        4.6588529501195035,
        4.658871546815843,
        4.65889062035055,
        4.658909693885258,
        4.658928767419965,
        4.6589478409546725,
        4.658966437651013,
        4.65898551118572,
        4.659004584720427,
        4.659023658255134,
        4.659042731789842,
        4.659061328486182,
        4.659080402020889,
        4.659099475555597,
        4.659118549090304,
        4.659137622625011,
        4.659156219321351,
        4.659175292856059,
        4.659194366390766,
        4.659213439925473,
        4.659232036621813,
        4.659251110156521,
        4.659270183691228,
        4.659289257225935,
        4.659307853922275,
        4.659326927456982,
        4.65934600099169,
        4.65936459768803,
        4.659383671222737,
        4.659402744757444,
        4.659421818292152,
        4.659440414988492,
        4.659459488523199,
        4.659478562057906,
        4.659497158754246,
        4.659516232288953,
        4.659535305823661,
        4.659554379358369,
        4.659572976054708,
        4.659592049589415,
        4.659611123124123,
        4.659629719820463,
        4.65964879335517,
        4.659667866889878,
        4.659686463586217,
        4.659705537120924,
        4.6597246106556325,
        4.659743207351972,
        4.659762280886679,
        4.659781354421387,
        4.659799951117726,
        4.659819024652434,
        4.659838098187141,
        4.659856694883481,
        4.659875768418188,
        4.659894841952895,
        4.659913438649236,
        4.659932512183943,
        4.659951108880283,
        4.65997018241499,
        4.659989255949697,
        4.660007852646038,
        4.660026926180745,
        4.660045999715452,
        4.660064596411792,
        4.660083669946499,
        4.660102266642839,
        4.660121340177546,
        4.660140413712254,
        4.660159010408593,
        4.6601780839433005,
        4.660196680639641,
        4.660215754174348,
        4.660234827709055,
        4.660253424405395,
        4.6602724979401025,
        4.660291094636443,
        4.66031016817115,
        4.660328764867489,
        4.660347838402197,
        4.6603664350985365,
        4.660385508633244,
        4.660404582167952,
        4.660423178864291,
        4.660442252398998,
        4.6604608490953385,
        4.660479922630046,
        4.660498519326385,
        4.660517592861093,
        4.660536189557432,
        4.66055526309214,
        4.66057385978848,
        4.660592933323187,
        4.660611530019527,
        4.660630603554234,
        4.660649200250574,
        4.660668273785282,
        4.660686870481621,
        4.660705944016328,
        4.6607245407126685,
        4.660743614247376,
        4.660762210943715,
        4.660781284478423,
        4.660799881174762,
        4.66081895470947,
        4.66083755140581,
        4.660856624940517,
        4.660875221636857,
        4.66110124302314,
        4.661119839719479,
        4.661138913254187,
        4.6611575099505265,
        4.661176106646867,
        4.661195180181574,
        4.661213776877913,
        4.661232850412621,
        4.6612514471089606,
        4.661270043805301,
        4.661289117340008,
        4.661307714036347,
        4.6613267875710545,
        4.661345384267395,
        4.661363980963734,
        4.661383054498442,
        4.661401651194781,
        4.6614207247294885,
        4.661439321425829,
        4.661457918122168,
        4.661476991656876,
        4.661495588353215,
        4.661514185049556,
        4.661533258584263,
        4.661551855280602,
        4.66157092881531,
        4.6615895255116495,
        4.661608122207989,
        4.661627195742697,
        4.661645792439036,
        4.661664389135376,
        4.661683462670084,
        4.661702059366423,
        4.661720656062763,
        4.66173972959747,
        4.6617583262938105,
        4.66177692299015,
        4.661795996524857,
        4.661814593221197,
        4.6618331899175365,
        4.661851786613877,
        4.661870860148584,
        4.661889456844923,
        4.661908053541263,
        4.661927127075971,
        4.661945723772311,
        4.66196432046865,
        4.66198291716499,
        4.6620019906996975,
        4.662020587396037,
        4.662039184092377,
        4.662058257627084,
        4.662076854323424,
        4.662095451019764,
        4.662114047716104,
        4.662133121250811,
        4.66215171794715,
        4.6621703146434905,
        4.66218891133983,
        4.662207984874537,
        4.662226581570877,
        4.6622451782672165,
        4.662263774963557,
        4.662282848498264,
        4.662301445194604,
        4.662320041890943,
        4.662338638587284,
        4.662357235283623,
        4.66237630881833,
        4.66239490551467,
        4.66241350221101,
        4.66243209890735,
        4.662451172442057,
        4.662469769138396,
        4.6624883658347365,
        4.662506962531076,
        4.662525559227416,
        4.662544155923755,
        4.662563229458463,
        4.662581826154803,
        4.662600422851143,
        4.662619019547482,
        4.662637616243822,
        4.6626566897785295,
        4.662675286474869,
        4.662693883171209,
        4.662712479867548,
        4.6627310765638885,
        4.662749673260228,
        4.662768269956568,
        4.662787343491275,
        4.6628059401876145,
        4.662824536883955,
        4.662843133580294,
        4.662861730276634,
        4.6628803269729735,
        4.662898923669314,
        4.662917997204021,
        4.662936593900361,
        4.6629551905967,
        4.66297378729304,
        4.66299238398938,
        4.663010980685719,
        4.663029577382059,
        4.663048174078399,
        4.663066770774739,
        4.663085844309446,
        4.663104441005786,
        4.6631230377021256,
        4.663141634398466,
        4.663160231094805,
        4.663178827791145,
        4.6631974244874845,
        4.663216021183824,
        4.663234617880164,
        4.663253214576503,
        4.6632718112728435,
        4.663290407969183,
        4.663309004665523,
        4.66332807820023,
        4.66334667489657,
        4.66336527159291,
        4.66338386828925,
        4.663402464985589,
        4.663421061681929,
        4.663439658378269,
        4.663458255074609,
        4.663476851770948,
        4.6634954484672875,
        4.663514045163628,
        4.663532641859967,
        4.663551238556307,
        4.6635698352526465,
        4.663588431948987,
        4.663607028645326,
        4.663625625341666,
        4.663644222038005,
        4.663662818734346,
        4.663681415430685,
        4.663700012127025,
        4.663718608823364,
        4.663737205519705,
        4.663755802216044,
        4.663774398912384,
        4.663792995608723,
        4.663811592305064,
        4.663830189001403,
        4.663848785697743,
        4.663867382394082,
        4.663885979090423,
        4.663904575786762,
        4.663923172483102,
        4.663941769179441,
        4.663959889037414,
        4.663978485733753,
        4.663997082430093,
        4.6640156791264324,
        4.664034275822773,
        4.664052872519112,
        4.664071469215452,
        4.664090065911791,
        4.664108662608132,
        4.664127259304471,
        4.664145856000811,
        4.66416445269715,
        4.664183049393491,
        4.66420164608983,
        4.664219765947802,
        4.6642383626441415,
        4.664256959340482,
        4.664275556036821,
        4.664294152733161,
        4.6643127494295005,
        4.664331346125841,
        4.66434994282218,
        4.66436853951852,
        4.6643866593764916,
        4.664405256072832,
        4.664423852769171,
        4.664442449465511,
        4.6644610461618505,
        4.664479642858191,
        4.66449823955453,
        4.664516359412502,
        4.664534956108842,
        4.664553552805182,
        4.664572149501521,
        4.664590746197861,
        4.664609342894201,
        4.664627939590541,
        4.664646059448513,
        4.664664656144852,
        4.664683252841192,
        4.664701849537532,
        4.664720446233871,
        4.6647385660918435,
        4.664757162788184,
        4.664775759484523,
        4.664794356180863,
        4.664812952877202,
        4.664831549573543,
        4.664849669431514,
        4.664868266127854,
        4.6648868628241935,
        4.664905459520534,
        4.664923579378505,
        4.664942176074845,
        4.664960772771185,
        4.664979369467525,
        4.664997966163864,
        4.665016086021836,
        4.665034682718177,
        4.665053279414516,
        4.665071876110856,
        4.6650899959688275,
        4.665108592665168,
        4.665127189361507,
        4.665145786057847,
        4.6651639059158185,
        4.665182502612159,
        4.665201099308498,
        4.665219696004838,
        4.6652378158628105,
        4.66525641255915,
        4.66527500925549,
        4.665293129113461,
        4.665311725809802,
        4.665330322506141,
        4.665348919202481,
        4.6653670390604525,
        4.665385635756793,
        4.665404232453132,
        4.665422352311104,
        4.665440949007444,
        4.665459545703784,
        4.665478142400124,
        4.665496262258095,
        4.6655148589544355,
        4.665533455650775,
        4.665551575508747,
        4.665570172205087,
        4.665588768901427,
        4.665606888759399,
        4.665625485455738,
        4.665644082152078,
        4.66566220201005,
        4.66568079870639,
        4.665699395402729,
        4.6657175152607016,
        4.665736111957042,
        4.665754708653381,
        4.665772828511353,
        4.665791425207693,
        4.665809545065665,
        4.665828141762004,
        4.665846738458344,
        4.665864858316317,
        4.665883455012656,
        4.665902051708996,
        4.665920171566968,
        4.665938768263308,
        4.66595688812128,
        4.665975484817619,
        4.66599408151396,
        4.666012201371931,
        4.666030798068271,
        4.6660489179262425,
        4.666067514622583,
        4.666086111318922,
        4.666104231176894,
        4.6661228278732345,
        4.666140947731206,
        4.666159544427546,
        4.666178141123885,
        4.666196260981858,
        4.666214857678198,
        4.666232977536169,
        4.6662515742325095,
        4.666269694090481,
        4.666288290786821,
        4.666306410644793,
        4.666325007341133,
        4.666343604037473,
        4.666361723895444,
        4.666380320591784,
        4.666398440449757,
        4.666417037146096,
        4.666435157004068,
        4.666453753700408,
        4.66647187355838,
        4.666490470254719,
        4.6665085901126915,
        4.666527186809032,
        4.666545306667003,
        4.666563903363343,
        4.6665820232213155,
        4.666600619917655,
        4.666618739775627,
        4.666637336471966,
        4.666655456329939,
        4.666674053026279,
        4.66669217288425,
        4.6667107695805905,
        4.666728889438562,
        4.666747486134902,
        4.666765605992874,
        4.666784202689214,
        4.666802322547186,
        4.666820919243525,
        4.6668390391014976,
        4.666857635797838,
        4.666875755655809,
        4.666893875513781,
        4.666912472210121,
        4.666930592068093,
        4.666949188764433,
        4.666967308622405,
        4.666985905318745,
        4.667004025176717,
        4.667022621873056,
        4.667040741731029,
        4.667058861589001,
        4.66707745828534,
        4.6670955781433126,
        4.667114174839652,
        4.667132294697624,
        4.667150414555596,
        4.667169011251936,
        4.667187131109908,
        4.667205727806247,
        4.66722384766422,
        4.667241967522192,
        4.667260564218531,
        4.6672786840765035,
        4.667297280772844,
        4.667315400630815,
        4.667333520488787,
        4.667352117185127,
        4.667370237043099,
        4.667388833739439,
        4.6674069535974105,
        4.667425073455383,
        4.667443670151723,
        4.667461790009694,
        4.667479909867667,
        4.667498506564007,
        4.667516626421978,
        4.667534746279951,
        4.66755334297629,
        4.667571462834262,
        4.6675895826922345,
        4.667608179388574,
        4.667626299246546,
        4.667644419104518,
        4.667663015800858,
        4.66768113565883,
        4.667699255516802,
        4.6677178522131415,
        4.667735972071114,
        4.667754091929086,
        4.667772688625425,
        4.667790808483398,
        4.66780892834137,
        4.667827048199341,
        4.6678456448956815,
        4.667863764753654,
        4.667881884611625,
        4.667900481307965,
        4.667918601165937,
        4.667936721023909,
        4.667954840881881,
        4.667973437578221,
        4.667991557436193,
        4.668009677294165,
        4.668028273990505,
        4.668046393848477,
        4.668064513706449,
        4.668082633564421,
        4.668101230260761,
        4.668119350118733,
        4.668137469976704,
        4.668155589834677,
        4.668174186531017,
        4.668192306388988,
        4.668210426246961,
        4.668228546104933,
        4.668246665962905,
        4.6682652626592445,
        4.668283382517217,
        4.668301502375189,
        4.66831962223316,
        4.668338218929501,
        4.668356338787472,
        4.668374458645444,
        4.668392578503417,
        4.668410698361389,
        4.668429295057728,
        4.6684474149157005,
        4.668465534773673,
        4.668483654631644,
        4.6685017744896165,
        4.668519894347589,
        4.668538491043928,
        4.6685566109019,
        4.668574730759873,
        4.668592850617844,
        4.668610970475816,
        4.668629090333789,
        4.668647687030128,
        4.6686658068881,
        4.6686839267460725,
        4.668702046604044,
        4.668720166462016,
        4.668738286319988,
        4.668756406177961,
        4.6687750028743,
        4.668793122732272,
        4.668811242590245,
        4.668829362448216,
        4.668847482306188,
        4.668865602164161,
        4.668883722022132,
        4.668902318718472,
        4.6689204385764445,
        4.668938558434416,
        4.668956678292388,
        4.66897479815036,
        4.668992918008333,
        4.669011037866304,
        4.669029157724276,
        4.669047277582249,
        4.669065397440221,
        4.669083517298192,
        4.669102113994533,
        4.669120233852504,
        4.669138353710476,
        4.6691564735684485,
        4.669174593426421,
        4.669192713284392,
        4.6692108331423645,
        4.669228953000337,
        4.669247072858309,
        4.6692651927162805,
        4.669283312574253,
        4.669301432432225,
        4.6693195522901965,
        4.669337672148169,
        4.669355792006141,
        4.669373911864113,
        4.669392031722085,
        4.669410628418425,
        4.669428748276397,
        4.669446868134369,
        4.669464987992341,
        4.669483107850313,
        4.669501227708285,
        4.669519347566257,
        4.669537467424229,
        4.669555587282201,
        4.669573707140173,
        4.669591826998145,
        4.669609946856117,
        4.66962806671409,
        4.669646186572061,
        4.669664306430033,
        4.669682426288006,
        4.669700546145977,
        4.669718666003949,
        4.669736785861922,
        4.669754905719894,
        4.669772548739498,
        4.66979066859747,
        4.669808788455442,
        4.669826908313414,
        4.669845028171386,
        4.669863148029358,
        4.66988126788733,
        4.6698993877453026,
        4.669917507603274,
        4.669935627461246,
        4.6699537473192185,
        4.669971867177191,
        4.669989987035162,
        4.6700081068931345,
        4.670026226751107,
        4.670044346609078,
        4.6700624664670505,
        4.670080109486655,
        4.670098229344627,
        4.670116349202599,
        4.670134469060571,
        4.670152588918543,
        4.670170708776515,
        4.670188828634487,
        4.670206948492459,
        4.670225068350431,
        4.670243188208404,
        4.670261308066375,
        4.6702789510859795,
        4.670297070943952,
        4.670315190801924,
        4.670333310659896,
        4.670351430517868,
        4.67036955037584,
        4.670387670233812,
        4.670405790091784,
        4.670423433111388,
        4.67044155296936,
        4.670459672827333,
        4.670477792685305,
        4.670495912543276,
        4.670514032401249,
        4.670531675420853,
        4.670549795278825,
        4.670567915136797,
        4.670586034994769,
        4.670604154852741,
        4.670622274710714,
        4.670639917730318,
        4.670658037588289,
        4.670676157446262,
        4.670694277304234,
        4.670712397162205,
        4.670730517020178,
        4.670748160039782,
        4.670766279897754,
        4.670784399755727,
        4.670802519613698,
        4.67082063947167,
        4.670838282491275,
        4.670856402349247,
        4.670874522207219,
        4.670892642065191,
        4.670910285084795,
        4.670928404942767,
        4.67094652480074,
        4.670964644658711,
        4.670982764516683,
        4.671000407536288,
        4.67101852739426,
        4.671036647252232,
        4.671054767110204,
        4.671072410129808,
        4.67109052998778,
        4.671108649845753,
        4.671126769703724,
        4.671144412723328,
        4.671162532581301,
        4.671180652439273,
        4.671198772297245,
        4.67121641531685,
        4.671234535174821,
        4.671252655032793,
        4.671270298052398,
        4.67128841791037,
        4.671306537768341,
        4.671324657626314,
        4.671342300645918,
        4.67136042050389,
        4.671378540361863,
        4.671396183381466,
        4.671414303239438,
        4.671432423097411,
        4.671450066117015,
        4.671468185974987,
        4.671486305832959,
        4.671504425690931,
        4.671522068710535,
        4.671540188568508,
        4.67155830842648,
        4.6715759514460835,
        4.671594071304056,
        4.671612191162028,
        4.6716298341816325,
        4.671647954039605,
        4.671666073897576,
        4.6716837169171805,
        4.671701836775153,
        4.671719479794757,
        4.6717375996527295,
        4.671755719510701,
        4.671773362530305,
        4.671791482388278,
        4.67180960224625,
        4.671827245265854,
        4.6718453651238265,
        4.671863484981798,
        4.671881128001402,
        4.671899247859375,
        4.671916890878979,
        4.671935010736951,
        4.671953130594923,
        4.671970773614527,
        4.671988893472499,
        4.672006536492104,
        4.672024656350076,
        4.672042776208048,
        4.672060419227653,
        4.672078539085624,
        4.6720961821052285,
        4.672114301963201,
        4.672131944982805,
        4.672150064840777,
        4.672168184698749,
        4.672185827718353,
        4.6722039475763255,
        4.67222159059593,
        4.672239710453902,
        4.672257353473507,
        4.672275473331478,
        4.67229359318945,
        4.672311236209055,
        4.672329356067027,
        4.672346999086631,
        4.672365118944604,
        4.672382761964208,
        4.672400881822179,
        4.672418524841784,
        4.672436644699756,
        4.67245428771936,
        4.672472407577333,
        4.672490050596937,
        4.6725081704549085,
        4.672525813474513,
        4.672543933332485,
        4.67256157635209,
        4.672579696210062,
        4.672597339229666,
        4.672615459087638,
        4.672633102107242,
        4.672651221965214,
        4.672668864984819,
        4.672686984842791,
        4.672704627862395,
        4.672722747720368,
        4.672740390739971,
        4.6727585105979434,
        4.672776153617548,
        4.67279427347552,
        4.6728119164951245,
        4.672830036353097,
        4.672847679372701,
        4.672865799230673,
        4.672883442250277,
        4.672901085269881,
        4.672919205127854,
        4.672936848147458,
        4.67295496800543,
        4.672972611025035,
        4.672990730883006,
        4.6730083739026105,
        4.673026493760583,
        4.673044136780187,
        4.6730617797997915,
        4.673079899657764,
        4.673097542677368,
        4.67311566253534,
        4.673133305554944,
        4.673150948574548,
        4.673169068432521,
        4.673186711452125,
        4.673204831310097,
        4.673222474329702,
        4.673240117349306,
        4.6732582372072775,
        4.673275880226882,
        4.673294000084854,
        4.673311643104459,
        4.673329286124063,
        4.673347405982035,
        4.67336504900164,
        4.673382692021244,
        4.673400811879215,
        4.67341845489882,
        4.673436574756792,
        4.6734542177763965,
        4.673471860796001,
        4.673489980653973,
        4.6735076236735775,
        4.673525266693182,
        4.673543386551153,
        4.673561029570758,
        4.673578672590362,
        4.673596792448334,
        4.673614435467939,
        4.673632078487543,
        4.673650198345515,
        4.67366784136512,
        4.673685484384724,
        4.673703604242696,
        4.6737212472623,
        4.673738890281904,
        4.673757010139877,
        4.673774653159481,
        4.673792296179085,
        4.67380993919869,
        4.673828059056662,
        4.6738457020762665,
        4.673863345095871,
        4.673881464953842,
        4.673899107973447,
        4.673916750993051,
        4.673934394012655,
        4.673952513870628,
        4.673970156890232,
        4.674502785346936,
        4.674520428366541,
        4.674538071386145,
        4.6745557144057495,
        4.674573357425354,
        4.674591477283326,
        4.6746091203029305,
        4.674626763322535,
        4.674644406342139,
        4.674662049361744,
        4.674679692381348,
        4.67469781223932,
        4.674715455258925,
        4.674733098278529,
        4.674750741298133,
        4.674768384317737,
        4.674786027337341,
        4.674803670356946,
        4.674821790214918,
        4.6748394332345224,
        4.674857076254127,
        4.674874719273731,
        4.674892362293336,
        4.67491000531294,
        4.674927648332544,
        4.674945291352149,
        4.674962934371753,
        4.674981054229725,
        4.67499869724933,
        4.675016340268934,
        4.675033983288539,
        4.675051626308142,
        4.6750692693277465,
        4.675086912347351,
        4.675104555366955,
        4.67512219838656,
        4.675139841406164,
        4.675157484425768,
        4.675175604283741,
        4.675193247303345,
        4.6752108903229495,
        4.675228533342554,
        4.675246176362158,
        4.675263819381763,
        4.675281462401367,
        4.675299105420971,
        4.675316748440576,
        4.67533439146018,
        4.6753520344797845,
        4.675369677499389,
        4.675387320518993,
        4.675404963538598,
        4.675422606558202,
        4.6754402495778065,
        4.675457892597411,
        4.675475535617014,
        4.675493178636619,
        4.675510821656223,
        4.6755284646758275,
        4.675546107695432,
        4.675563750715036,
        4.675581393734641,
        4.675599036754245,
        4.675616679773849,
        4.675634322793454,
        4.675651965813058,
        4.675669608832663,
        4.675687251852267,
        4.675704894871871,
        4.675722537891476,
        4.67574018091108,
        4.6757578239306845,
        4.675775466950289,
        4.675793109969893,
        4.675810752989498,
        4.675828396009102,
        4.675846039028706,
        4.675863682048311,
        4.675881325067915,
        4.67589896808752,
        4.675916611107124,
        4.675934254126728,
        4.675951897146333,
        4.675969540165937,
        4.6759871831855415,
        4.676004826205146,
        4.67602246922475,
        4.676040112244355,
        4.676057278425591,
        4.6760749214451955,
        4.6760925644648,
        4.676110207484404,
        4.676127850504009,
        4.676145493523613,
        4.6761631365432175,
        4.676180779562822,
        4.676198422582425,
        4.67621606560203,
        4.676233708621634,
        4.6762508748028715,
        4.676268517822476,
        4.67628616084208,
        4.676303803861685,
        4.676321446881289,
        4.6763390899008925,
        4.676356732920497,
        4.676374375940101,
        4.676392018959706,
        4.676409185140943,
        4.6764268281605474,
        4.676444471180152,
        4.676462114199756,
        4.67647975721936,
        4.676497400238964,
        4.6765150432585685,
        4.676532209439806,
        4.67654985245941,
        4.676567495479015,
        4.676585138498619,
        4.676602781518223,
        4.676620424537827,
        4.676637590719064,
        4.676655233738669,
        4.676672876758273,
        4.676690519777877,
        4.676708162797482,
        4.676725805817086,
        4.676742971998323,
        4.676760615017927,
        4.676778258037531,
        4.676795901057136,
        4.67681354407674,
        4.676918448517631,
        4.676936091537235,
        4.6769537345568395,
        4.676971377576444,
        4.67698854375768,
        4.677006186777285,
        4.677023829796889,
        4.6770414728164935,
        4.677059115836098,
        4.677076282017334,
        4.677093925036939,
        4.678769535060985,
        4.680550049525922,
        4.680570553575733,
        4.680591534463911,
        4.680612515352089,
        4.6806330194019,
        4.680654000290078,
        4.680674981178256,
        4.680695962066434,
        4.680716466116245,
        4.6807374470044225,
        4.6807584278926,
        4.680778931942411,
        4.680799912830589,
        4.680820893718767,
        4.680841874606946,
        4.680862378656756,
        4.680883359544935,
        4.680904340433113,
        4.680924844482923,
        4.680945825371102,
        4.6809668062592795,
        4.6809873103090895,
        4.681008291197268,
        4.681029272085446,
        4.681049776135256,
        4.681070757023435,
        4.681091737911613,
        4.681112241961423,
        4.681133222849602,
        4.68115420373778,
        4.681549025906223,
        4.681569529956033,
        4.681590510844212,
        4.68161149173239,
        4.6816319957822,
        4.681652976670379,
        4.681673480720189,
        4.681694461608367,
        4.681714965658178,
        4.681735946546356,
        4.681756450596167,
        4.6817774314843446,
        4.681797935534155,
        4.681818916422333,
        4.681839420472143,
        4.681860401360321,
        4.6818813822485,
        4.68190188629831,
        4.681922867186488,
        4.681943371236299,
        4.681964352124477,
        4.681984856174288,
        4.682005837062466,
        4.682026341112276,
        4.682046845162087,
        4.682067826050265,
        4.6820883301000755,
        4.6821093109882534,
        4.682129815038064,
        4.682150795926242,
        4.682171299976052,
        4.682192280864231,
        4.682212784914041,
        4.682233765802219,
        4.68225426985203,
        4.682275250740208,
        4.682295754790019,
        4.682316258839829,
        4.682337239728007,
        4.682357743777818,
        4.682378724665996,
        4.6823992287158065,
        4.6824197327656165,
        4.682440713653794,
        4.682461217703605,
        4.682482198591783,
        4.682502702641594,
        4.682523683529772,
        4.682544187579582,
        4.682564691629393,
        4.682585672517571,
        4.682606176567382,
        4.68270965049317,
        4.68273015454298,
        4.682751135431158,
        4.682771639480968,
        4.682792143530779,
        4.682813124418957,
        4.682833628468767,
        4.682854132518578,
        4.682875113406756,
        4.682895617456567,
        4.682916121506377,
        4.682937102394555,
        4.682957606444366,
        4.682978110494176,
        4.682999091382355,
        4.683019595432165,
        4.683040099481976,
        4.683061080370154,
        4.683081584419964,
        4.6831020884697745,
        4.6831225925195845,
        4.683143573407763,
        4.683164077457573,
        4.683184581507384,
        4.683205562395562,
        4.683226066445372,
        4.683246570495183,
        4.683267074544993,
        4.683288055433172,
        4.683308559482982,
        4.683329063532793,
        4.683349567582603,
        4.683370548470781,
        4.683391052520592,
        4.683411556570402,
        4.683432060620213,
        4.683453041508391,
        4.6834735455582015,
        4.6834940496080115,
        4.683514553657822,
        4.683535534546,
        4.683556038595811,
        4.683576542645621,
        4.683597046695432,
        4.683617550745242,
        4.68363853163342,
        4.683659035683231,
        4.683679539733041,
        4.683700043782852,
        4.683720547832662,
        4.683741528720841,
        4.683762032770651,
        4.683782536820462,
        4.683803040870272,
        4.683823544920083,
        4.683844048969893,
        4.683865029858071,
        4.6838855339078815,
        4.683906037957692,
        4.6839265420075025,
        4.6839470460573125,
        4.683967550107123,
        4.683988054156933,
        4.684009035045112,
        4.684029539094922,
        4.684050043144733,
        4.684070547194543,
        4.684091051244354,
        4.684111555294164,
        4.684132059343975,
        4.684152563393785,
        4.684173544281963,
        4.684194048331774,
        4.684214552381584,
        4.684235056431395,
        4.684255560481205,
        4.684276064531016,
        4.684296568580826,
        4.684317072630637,
        4.684337576680447,
        4.684358080730258,
        4.684378584780068,
        4.6843995656682464,
        4.6844200697180565,
        4.684440573767867,
        4.684461077817677,
        4.684481581867488,
        4.684502085917298,
        4.684522589967109,
        4.684543094016919,
        4.68456359806673,
        4.68458410211654,
        4.684604606166351,
        4.684625110216161,
        4.684645614265972,
        4.684666118315782,
        4.684686622365593,
        4.684707126415403,
        4.684727630465214,
        4.684748134515024,
        4.684768638564835,
        4.684789142614645,
        4.684809646664456,
        4.684830150714266,
        4.684850654764077,
        4.684871158813887,
        4.684891662863698,
        4.684912166913508,
        4.684932670963319,
        4.684953175013129,
        4.6849736790629395,
        4.6849941831127495,
        4.68501468716256,
        4.68503519121237,
        4.685055695262181,
        4.685076199311991,
        4.685096703361802,
        4.685117207411612,
        4.685137711461423,
        4.685158215511233,
        4.685178242722676,
        4.685198746772487,
        4.685219250822297,
        4.685239754872108,
        4.685260258921918,
        4.685280762971729,
        4.685301267021539,
        4.68532177107135,
        4.68534227512116,
        4.685362779170971,
        4.685383283220781,
        4.685403787270592,
        4.685423814482034,
        4.685444318531845,
        4.685464822581656,
        4.685485326631466,
        4.685505830681277,
        4.685526334731087,
        4.685546838780898,
        4.685567342830708,
        4.685587370042151,
        4.685607874091961,
        4.685628378141772,
        4.685648882191582,
        4.6856693862413925,
        4.6856898902912025,
        4.6857099175026455,
        4.6857304215524564,
        4.6857509256022665,
        4.685771429652077,
        4.685791933701887,
        4.685812437751698,
        4.68583246496314,
        4.685852969012951,
        4.685873473062761,
        4.685893977112572,
        4.685914481162382,
        4.685934508373825,
        4.685955012423636,
        4.685975516473446,
        4.685996020523257,
        4.686016524573067,
        4.68603655178451,
        4.68605705583432,
        4.686077559884131,
        4.686098063933941,
        4.686118567983752,
        4.686138595195195,
        4.686159099245005,
        4.686179603294816,
        4.686200107344626,
        4.686220134556069,
        4.686240638605879,
        4.68626114265569,
        4.6862816467055,
        4.686301673916943,
        4.686322177966754,
        4.686342682016564,
        4.686362709228007,
        4.686383213277817,
        4.686403717327628,
        4.686424221377438,
        4.686444248588881,
        4.686464752638692,
        4.686485256688502,
        4.686505283899945,
        4.686525787949755,
        4.686546291999566,
        4.686566796049376,
        4.686586823260819,
        4.68660732731063,
        4.68662783136044,
        4.686647858571883,
        4.686668362621693,
        4.686688866671504,
        4.686708893882947,
        4.686729397932757,
        4.686749901982568,
        4.68676992919401,
        4.686790433243821,
        4.6868109372936315,
        4.686830964505074,
        4.6868514685548845,
        4.6868714957663276,
        4.686891999816138,
        4.6869125038659485,
        4.686932531077391,
        4.6869530351272015,
        4.6869735391770115,
        4.6869935663884545,
        4.6870140704382655,
        4.687034097649708,
        4.6870546016995185,
        4.6870751057493285,
        4.6870951329607715,
        4.687115637010582,
        4.6871356642220245,
        4.6871561682718355,
        4.6871766723216455,
        4.6871966995330885,
        4.687217203582899,
        4.6872372307943415,
        4.687257734844152,
        4.687277762055595,
        4.6872982661054055,
        4.687318770155216,
        4.6873387973666585,
        4.687359301416469,
        4.687379328627912,
        4.687399832677722,
        4.687419859889165,
        4.6874403639389755,
        4.6874603911504185,
        4.687480895200229,
        4.6875009224116715,
        4.687521426461482,
        4.687541930511292,
        4.687561957722735,
        4.687582461772546,
        4.6876024889839885,
        4.687622993033799,
        4.687643020245242,
        4.687663524295052,
        4.687683551506495,
        4.687704055556305,
        4.687724082767748,
        4.687744586817559,
        4.6877646140290015,
        4.6877846412404445,
        4.687805145290255,
        4.6878251725016975,
        4.687845676551508,
        4.687865703762951,
        4.687886207812761,
        4.6879062350242044,
        4.6879267390740145,
        4.6879467662854575,
        4.687967270335268,
        4.6879872975467105,
        4.688007801596521,
        4.688027828807964,
        4.6880478560194065,
        4.6880683600692175,
        4.6880883872806605,
        4.6881088913304705,
        4.6881289185419135,
        4.6881489457533565,
        4.6881694498031665,
        4.6881894770146095,
        4.6882099810644196,
        4.688230008275863,
        4.6882505123256735,
        4.688270539537116,
        4.688290566748559,
        4.6883110707983695,
        4.688331098009812,
        4.688351125221255,
        4.6883716292710655,
        4.688391656482508,
        4.688412160532319,
        4.688432187743762,
        4.688452214955204,
        4.688472719005015,
        4.688492746216458,
        4.6885127734279,
        4.688533277477711,
        4.688553304689154,
        4.688573331900596,
        4.688593835950407,
        4.68861386316185,
        4.688633890373292,
        4.688654394423103,
        4.688674421634546,
        4.688694448845988,
        4.688714952895799,
        4.688734980107242,
        4.688755007318684,
        4.688775511368495,
        4.688795538579938,
        4.68881556579138,
        4.688835593002823,
        4.688856097052634,
        4.688876124264076,
        4.688896151475519,
        4.68891665552533,
        4.688936682736772,
        4.688956709948215,
        4.688976737159658,
        4.688997241209468,
        4.689017268420911,
        4.689037295632354,
        4.689057799682164,
        4.689077826893607,
        4.68909785410505,
        4.689117881316493,
        4.689137908527935,
        4.689158412577746,
        4.689178439789189,
        4.689198467000631,
        4.689218494212074,
        4.689238998261885,
        4.689259025473327,
        4.68927905268477,
        4.689299079896213,
        4.689319583946023,
        4.689339611157466,
        4.689359638368909,
        4.689379665580352,
        4.6893996927917945,
        4.689420196841605,
        4.689440224053048,
        4.6894602512644905,
        4.6894802784759335,
        4.6895003056873765,
        4.6895203328988195,
        4.6895408369486296,
        4.689560864160073,
        4.689580891371516,
        4.689600918582958,
        4.689620945794401,
        4.689640973005844,
        4.689661477055654,
        4.689681504267097,
        4.68970153147854,
        4.689721558689983,
        4.689741585901425,
        4.689761613112868,
        4.689781640324311,
        4.689802144374121,
        4.689822171585564,
        4.689842198797007,
        4.68986222600845,
        4.689882253219892,
        4.689902280431335,
        4.689922307642778,
        4.689942334854221,
        4.689962362065663,
        4.689982866115474,
        4.690002893326917,
        4.690022920538359,
        4.690042947749802,
        4.690062974961245,
        4.690083002172688,
        4.69010302938413,
        4.690123056595573,
        4.690143083807016,
        4.690163111018459,
        4.6901831382299015,
        4.6902031654413445,
        4.6902231926527875,
        4.6902432198642305,
        4.690263723914041,
        4.690283751125484,
        4.690303778336927,
        4.690323805548369,
        4.690343832759812,
        4.690363859971255,
        4.690383887182698,
        4.69040391439414,
        4.690423941605583,
        4.690443968817026,
        4.690463996028469,
        4.690484023239911,
        4.690504050451354,
        4.690524077662797,
        4.69054410487424,
        4.690564132085682,
        4.690584159297125,
        4.690604186508568,
        4.690624213720011,
        4.690644240931453,
        4.690664268142896,
        4.690684295354339,
        4.690704322565782,
        4.690724349777224,
        4.690744376988667,
        4.69076440420011,
        4.690784431411553,
        4.6908039817846285,
        4.690824008996071,
        4.690844036207514,
        4.690864063418957,
        4.6908840906304,
        4.690904117841842,
        4.690924145053285,
        4.690944172264728,
        4.690964199476171,
        4.690984226687613,
        4.691004253899056,
        4.691024281110499,
        4.691044308321942,
        4.691064335533384,
        4.691083885906459,
        4.691103913117902,
        4.691123940329345,
        4.691143967540788,
        4.69116399475223,
        4.691323735605406,
        4.691343762816848,
        4.691363790028291,
        4.691383817239734,
        4.691403367612809,
        4.691423394824252,
        4.691443422035694,
        4.691463449247137,
        4.69148347645858,
        4.691503503670023,
        4.691523054043098,
        4.69154308125454,
        4.691563108465983,
        4.691583135677426,
        4.691603162888869,
        4.691623190100311,
        4.6916427404733865,
        4.6916627676848295,
        4.6916827948962725,
        4.6917028221077155,
        4.691722849319158,
        4.691742399692233,
        4.691762426903676,
        4.691782454115119,
        4.691802481326562,
        4.691822031699637,
        4.691842058911079,
        4.691862086122522,
        4.691882113333965,
        4.691902140545408,
        4.691921690918483,
        4.691941718129925,
        4.691961745341368,
        4.691981772552811,
        4.692001322925886,
        4.692021350137329,
        4.6920413773487715,
        4.6920614045602145,
        4.69208095493329,
        4.692100982144733,
        4.692121009356176,
        4.692140559729251,
        4.692160586940693,
        4.692180614152136,
        4.692200641363579,
        4.692220191736654,
        4.692240218948097,
        4.692260246159539,
        4.692279796532614,
        4.692299823744057,
        4.6923198509555,
        4.692339401328575,
        4.692359428540018,
        4.69237945575146,
        4.6923990061245355,
        4.6924190333359785,
        4.6924390605474215,
        4.6924590877588646,
        4.69247863813194,
        4.692498665343382,
        4.692518215716457,
        4.6925382429279,
        4.692558270139343,
        4.692577820512418,
        4.69259784772386,
        4.692617874935303,
        4.692637425308378,
        4.692657452519821,
        4.692677479731264,
        4.692697030104339,
        4.6927170573157815,
        4.692736607688857,
        4.6927566349003,
        4.692776662111743,
        4.692796212484818,
        4.692816239696261,
        4.692836266907703,
        4.692855817280778,
        4.692875844492221,
        4.692895394865296,
        4.692915422076739,
        4.692934972449814,
        4.692954999661257,
        4.692975026872699,
        4.692994577245774,
        4.693014604457217,
        4.6930341548302925,
        4.6930541820417355,
        4.693073732414811,
        4.693093759626254,
        4.693113786837696,
        4.693133337210771,
        4.693153364422214,
        4.693172914795289,
        4.693192942006732,
        4.693212492379807,
        4.69323251959125,
        4.693252069964325,
        4.693272097175767,
        4.693291647548842,
        4.693311674760285,
        4.6933312251333605,
        4.6933512523448035,
        4.693370802717879,
        4.693390829929322,
        4.693410380302397,
        4.693430407513839,
        4.693449957886914,
        4.693469985098357,
        4.693489535471432,
        4.693509562682875,
        4.69352911305595,
        4.693549140267393,
        4.693568690640468,
        4.6935887178519105,
        4.693608268224986,
        4.693628295436429,
        4.693647845809504,
        4.693667873020947,
        4.693687423394022,
        4.693707450605465,
        4.69372700097854,
        4.693746551351615,
        4.693766578563057,
        4.693786128936132,
        4.693806156147575,
        4.69382570652065,
        4.693845733732093,
        4.6938652841051685,
        4.693884834478244,
        4.693904861689687,
        4.693924412062761,
        4.693944439274204,
        4.693963989647279,
        4.693984016858722,
        4.694003567231797,
        4.694023117604872,
        4.694043144816315,
        4.69406269518939,
        4.694082245562465,
        4.6941022727739075,
        4.694121823146983,
        4.694141850358426,
        4.694161400731501,
        4.694180951104576,
        4.694200978316019,
        4.694220528689094,
        4.694240079062169,
        4.694260106273612,
        4.694279656646687,
        4.694299683858129,
        4.694319234231204,
        4.6943387846042794,
        4.6943588118157225,
        4.694378362188798,
        4.694397912561873,
        4.694417939773316,
        4.694437490146391,
        4.694457040519466,
        4.694476590892541,
        4.694496618103984,
        4.694516168477059,
        4.694535718850134,
        4.694555746061576,
        4.694575296434651,
        4.6945948468077265,
        4.6946148740191695,
        4.694634424392245,
        4.69465397476532,
        4.694673525138395,
        4.694693552349838,
        4.694713102722913,
        4.694732653095988,
        4.694752680307431,
        4.694772230680506,
        4.694791781053581,
        4.694811331426656,
        4.6948313586380985,
        4.694850909011174,
        4.694870459384249,
        4.694890009757324,
        4.694910036968767,
        4.694929587341842,
        4.694949137714917,
        4.694968688087992,
        4.694988715299435,
        4.69500826567251,
        4.695027816045585,
        4.6950473664186605,
        4.695066916791736,
        4.695086944003178,
        4.695106494376253,
        4.695126044749328,
        4.695145595122403,
        4.695165145495478,
        4.695185172706921,
        4.695204723079996,
        4.695224273453071,
        4.6952438238261465,
        4.695263374199222,
        4.695283401410665,
        4.69530295178374,
        4.695322502156815,
        4.69534205252989,
        4.695361602902965,
        4.69538115327604,
        4.695401180487483,
        4.695420730860558,
        4.695440281233633,
        4.695459831606708,
        4.6954793819797835,
        4.695498932352859,
        4.695518482725934,
        4.695538509937376,
        4.695558060310451,
        4.695577610683526,
        4.695597161056601,
        4.695616711429676,
        4.695636261802751,
        4.6956558121758265,
        4.695675362548902,
        4.695695389760345,
        4.69571494013342,
        4.695734490506495,
        4.69575404087957,
        4.695773591252645,
        4.69579314162572,
        4.695812691998795,
        4.69583224237187,
        4.6958517927449455,
        4.695871343118021,
        4.695890893491096,
        4.695910920702539,
        4.695930471075614,
        4.695950021448689,
        4.695969571821764,
        4.695989122194839,
        4.696008672567914,
        4.696028222940989,
        4.696047773314064,
        4.6960673236871395,
        4.696086874060215,
        4.69610642443329,
        4.696125974806365,
        4.69614552517944,
        4.696165075552515,
        4.69618462592559,
        4.696204176298665,
        4.69622372667174,
        4.6962432770448155,
        4.696262827417891,
        4.696282377790966,
        4.696301928164041,
        4.696321478537116,
        4.696341028910191,
        4.696360579283266,
        4.696380129656341,
        4.696399680029416,
        4.696419230402491,
        4.6964387807755665,
        4.696458331148642,
        4.696477881521717,
        4.696497431894792,
        4.696516982267866,
        4.696536532640941,
        4.696556083014016,
        4.696575633387091,
        4.6965951837601665,
        4.696614734133242,
        4.696634284506317,
        4.696653834879392,
        4.696673385252467,
        4.696692935625542,
        4.696712485998617,
        4.696731559533325,
        4.6967511099064,
        4.696770660279475,
        4.6967902106525505,
        4.696809761025626,
        4.696829311398701,
        4.696848861771776,
        4.696868412144851,
        4.696887962517926,
        4.696907512891001,
        4.696927063264076,
        4.6969461367987835,
        4.696965687171859,
        4.696985237544934,
        4.697004787918009,
        4.697024338291084,
        4.697043888664159,
        4.697063439037234,
        4.697082989410309,
        4.697102062945016,
        4.6971216133180915,
        4.697141163691167,
        4.697160714064242,
        4.697180264437317,
        4.697199814810392,
        4.697219365183467,
        4.697238438718174,
        4.697257989091249,
        4.6972775394643245,
        4.6972970898374,
        4.697316640210475,
        4.69733619058355,
        4.697355264118257,
        4.697374814491332,
        4.697394364864407,
        4.697413915237482,
        4.697433465610557,
        4.6974525391452655,
        4.697472089518341,
        4.697491639891416,
        4.697511190264491,
        4.697530740637566,
        4.697549814172273,
        4.697569364545348,
        4.697588914918423,
        4.6976084652914984,
        4.6976280156645736,
        4.697647089199281,
        4.697666639572356,
        4.697686189945431,
        4.697705740318506,
        4.697724813853213,
        4.697744364226288,
        4.6977639145993635,
        4.697783464972439,
        4.697802538507146,
        4.697822088880221,
        4.697841639253296,
        4.697861189626371,
        4.697880263161079,
        4.697899813534154,
        4.697919363907229,
        4.6979389142803045,
        4.697957987815012,
        4.697977538188087,
        4.697997088561162,
        4.698016162095869,
        4.698035712468944,
        4.698055262842019,
        4.698074336376727,
        4.698093886749802,
        4.698113437122877,
        4.698132987495952,
        4.69815206103066,
        4.698171611403735,
        4.69819116177681,
        4.698210235311517,
        4.6982297856845925,
        4.698249336057668,
        4.698268409592375,
        4.69828795996545,
        4.698307510338525,
        4.698326583873232,
        4.698346134246307,
        4.698365684619382,
        4.69838475815409,
        4.698404308527165,
        4.698423382061873,
        4.698442932434948,
        4.698462482808023,
        4.69848155634273,
        4.698501106715805,
        4.6985206570888804,
        4.698539730623588,
        4.698559280996663,
        4.69857835453137,
        4.698597904904445,
        4.69861745527752,
        4.698636528812228,
        4.698656079185303,
        4.698675152720011,
        4.698694703093086,
        4.698714253466161,
        4.698733327000868,
        4.698752877373943,
        4.69877195090865,
        4.698791501281725,
        4.6988110516548005,
        4.698830125189509,
        4.698849675562584,
        4.698868749097291,
        4.698888299470366,
        4.698907373005073,
        4.698926923378148,
        4.6989459969128555,
        4.698965547285931,
        4.698985097659006,
        4.699004171193713,
        4.699023721566788,
        4.699042795101496,
        4.699062345474571,
        4.6990814190092784,
        4.6991009693823536,
        4.699120042917061,
        4.699139593290136,
        4.699158666824843,
        4.699178217197918,
        4.699197290732626,
        4.699216841105701,
        4.699235914640409,
        4.699255465013484,
        4.699274538548191,
        4.699294088921266,
        4.699313162455973,
        4.699332712829048,
        4.699351786363756,
        4.6993713367368315,
        4.699390410271539,
        4.699409960644614,
        4.699429034179321,
        4.699448584552396,
        4.699467658087103,
        4.699487208460178,
        4.699506281994886,
        4.699525355529594,
        4.699544905902669,
        4.699563979437376,
        4.699583529810451,
        4.699602603345158,
        4.699622153718233,
        4.699641227252941,
        4.699660300787649,
        4.699679851160724,
        4.699698924695431,
        4.699718475068506,
        4.699737548603213,
        4.6997570989762885,
        4.699776172510996,
        4.699795246045704,
        4.699814796418779,
        4.699833869953486,
        4.699853420326561,
        4.699872493861268,
        4.700045586188738,
        4.700065136561813,
        4.700084210096521,
        4.700103283631228,
        4.700122834004303,
        4.7001419075390105,
        4.700160981073718,
        4.700180531446793,
        4.700199604981501,
        4.700218678516208,
        4.700238228889283,
        4.70025730242399,
        4.700276375958698,
        4.700295926331773,
        4.70031499986648,
        4.700334073401188,
        4.700353623774263,
        4.70037269730897,
        4.7003917708436775,
        4.700411321216753,
        4.70043039475146,
        4.700449468286168,
        4.700468541820875,
        4.70048809219395,
        4.7005071657286575,
        4.700526239263365,
        4.70054578963644,
        4.700564863171148,
        4.700583936705855,
        4.700603010240562,
        4.700622560613637,
        4.700641634148345,
        4.700660707683053,
        4.70067978121776,
        4.700699331590835,
        4.700718405125542,
        4.700737478660249,
        4.700756552194957,
        4.700776102568032,
        4.70079517610274,
        4.700814249637447,
        4.700833323172154,
        4.700852873545229,
        4.7008719470799365,
        4.700891020614645,
        4.700910094149352,
        4.700929167684059,
        4.700948718057134,
        4.700967791591841,
        4.700986865126549,
        4.701005938661257,
        4.701025012195964,
        4.701044562569039,
        4.701063636103746,
        4.701082709638454,
        4.701101783173161,
        4.701120856707869,
        4.701139930242576,
        4.701159480615651,
        4.701178554150358,
        4.701197627685066,
        4.701216701219773,
        4.701235774754481,
        4.701254848289188,
        4.701274398662263,
        4.701293472196971,
        4.701312545731678,
        4.701331619266385,
        4.701350692801093,
        4.701369766335801,
        4.701388839870508,
        4.701408390243583,
        4.70142746377829,
        4.701446537312997,
        4.7014656108477055,
        4.701484684382413,
        4.70150375791712,
        4.701522831451827,
        4.701541904986535,
        4.701560978521242,
        4.7015805288943175,
        4.701599602429025,
        4.701618675963732,
        4.701637749498439,
        4.701656823033147,
        4.7016758965678545,
        4.701694970102562,
        4.701714043637269,
        4.701733117171977,
        4.701752190706684,
        4.701771264241391,
        4.701790337776099,
        4.701809411310807,
        4.701828961683882,
        4.701848035218589,
        4.701867108753296,
        4.701886182288003,
        4.7019052558227115,
        4.701924329357419,
        4.701943402892126,
        4.701962476426833,
        4.70198154996154,
        4.702000623496248,
        4.702019697030956,
        4.702038770565663,
        4.70205784410037,
        4.702076917635078,
        4.702095991169785,
        4.7021150647044925,
        4.7021341382392,
        4.702153211773908,
        4.702172285308615,
        4.702191358843322,
        4.702210432378029,
        4.7022295059127375,
        4.702248579447445,
        4.702267652982152,
        4.702286726516859,
        4.702305800051567,
        4.702324873586274,
        4.702343947120982,
        4.702363020655689,
        4.702382094190396,
        4.702401167725104,
        4.702420241259811,
        4.7024393147945185,
        4.702458388329226,
        4.702477461863934,
        4.702496058560273,
        4.70251513209498,
        4.702534205629688,
        4.702553279164396,
        4.702572352699103,
        4.70259142623381,
        4.702610499768518,
        4.702629573303225,
        4.7026486468379325,
        4.70266772037264,
        4.702686793907347,
        4.702705867442055,
        4.702724940976762,
        4.7027435376731015,
        4.70276261120781,
        4.702781684742517,
        4.702800758277224,
        4.702819831811931,
        4.702838905346639,
        4.7028579788813465,
        4.702877052416054,
        4.702896125950761,
        4.702914722647101,
        4.702933796181808,
        4.7029528697165155,
        4.702971943251224,
        4.702991016785931,
        4.703010090320638,
        4.703029163855345,
        4.703047760551685,
        4.703066834086393,
        4.7030859076211,
        4.703104981155807,
        4.703124054690515,
        4.703143128225222,
        4.703161724921562,
        4.70318079845627,
        4.703199871990977,
        4.703218945525684,
        4.703238019060391,
        4.703257092595099,
        4.703275689291439,
        4.703294762826146,
        4.703313836360854,
        4.703332909895561,
        4.703351983430268,
        4.703370580126609,
        4.703389653661316,
        4.703408727196023,
        4.70342780073073,
        4.703446874265437,
        4.703465470961778,
        4.703484544496485,
        4.703503618031192,
        4.7035226915659,
        4.703541288262239,
        4.703560361796947,
        4.703579435331655,
        4.703598508866362,
        4.703617105562701,
        4.703636179097409,
        4.7036552526321165,
        4.703674326166824,
        4.703692922863164,
        4.703711996397871,
        4.703731069932578,
        4.7037501434672855,
        4.703768740163626,
        4.703787813698333,
        4.70380688723304,
        4.70382548392938,
        4.7038445574640875,
        4.703863630998795,
        4.703882704533502,
        4.703901301229842,
        4.703920374764549,
        4.7039394482992565,
        4.703958044995597,
        4.703977118530304,
        4.703996192065011,
        4.704014788761351,
        4.7040338622960585,
        4.704052935830766,
        4.704071532527106,
        4.704090606061813,
        4.70410967959652,
        4.7041282762928605,
        4.704147349827568,
        4.704166423362275,
        4.704185020058615,
        4.704204093593322,
        4.7042231671280295,
        4.70424176382437,
        4.704260837359077,
        4.704279910893784,
        4.704298507590124,
        4.7043175811248314,
        4.704336654659539,
        4.704355251355879,
        4.704374324890586,
        4.704392921586925,
        4.7044119951216326,
        4.704431068656341,
        4.70444966535268,
        4.704468738887387,
        4.704487812422095,
        4.7045064091184345,
        4.704525482653142,
        4.704544079349482,
        4.704563152884189,
        4.704581749580529,
        4.7046008231152365,
        4.704619896649944,
        4.704638493346284,
        4.704657566880991,
        4.70467616357733,
        4.704695237112038,
        4.704714310646746,
        4.704732907343085,
        4.704751980877792,
        4.704770577574132,
        4.70478965110884,
        4.70480824780518,
        4.704827321339887,
        4.704845918036226,
        4.704864991570934,
        4.704883588267274,
        4.704902661801981,
        4.704921735336689,
        4.704940332033028,
        4.7049594055677355,
        4.704978002264076,
        4.704997075798783,
        4.705015672495122,
        4.70503474602983,
        4.70505334272617,
        4.705072416260877,
        4.705091012957217,
        4.705110086491924,
        4.705128683188264,
        4.705147756722972,
        4.705166353419311,
        4.705185426954019,
        4.705204023650358,
        4.7052230971850655,
        4.705241693881406,
        4.705260767416113,
        4.705279364112452,
        4.705297960808792,
        4.7053170343435,
        4.70533563103984,
        4.705354704574547,
        4.705373301270886,
        4.705392374805594,
        4.705410971501934,
        4.705430045036641,
        4.705448641732981,
        4.705467715267688,
        4.7054863119640284,
        4.705504908660368,
        4.705523982195075,
        4.705542578891415,
        4.705561652426122,
        4.705580249122462,
        4.70559932265717,
        4.705617919353509,
        4.705636516049849,
        4.705655589584556,
        4.705674186280896,
        4.705693259815604,
        4.705711856511943,
        4.705730453208283,
        4.7057495267429905,
        4.70576812343933,
        4.705787196974038,
        4.705805793670377,
        4.705824390366717,
        4.705843463901425,
        4.705862060597764,
        4.705880657294104,
        4.705899730828811,
        4.705918327525151,
        4.705936924221491,
        4.705955997756198,
        4.705974594452538,
        4.705993667987245,
        4.706012264683585,
        4.706199662162085,
        4.706218258858425,
        4.706237332393132,
        4.7062559290894725,
        4.706274525785812,
        4.706293599320519,
        4.706312196016859,
        4.7063307927131985,
        4.706349866247907,
        4.706368462944246,
        4.706387059640586,
        4.706405656336925,
        4.706424729871633,
        4.706443326567973,
        4.706461923264312,
        4.706480996799019,
        4.7064995934953595,
        4.706518190191699,
        4.706536786888039,
        4.706555860422746,
        4.706574457119086,
        4.706593053815426,
        4.706611650511766,
        4.706630724046473,
        4.706649320742812,
        4.706667917439153,
        4.706686514135492,
        4.706705110831832,
        4.706724184366539,
        4.706742781062879,
        4.706761377759219,
        4.706779974455558,
        4.706799047990266,
        4.7068176446866055,
        4.706836241382946,
        4.706854838079285,
        4.706873434775625,
        4.706892508310332,
        4.706911105006672,
        4.706929701703012,
        4.706948298399351,
        4.706966895095691,
        4.7069859686303985,
        4.707004565326738,
        4.707023162023078,
        4.707041758719417,
        4.7070603554157575,
        4.707078952112097,
        4.707098025646805,
        4.707116622343144,
        4.707135219039484,
        4.707153815735824,
        4.707172412432164,
        4.707191009128503,
        4.707209605824843,
        4.707228679359551,
        4.70724727605589,
        4.70726587275223,
        4.707284469448569,
        4.70730306614491,
        4.707321662841249,
        4.707340259537589,
        4.707359333072296,
        4.707377929768636,
        4.707396526464976,
        4.707415123161315,
        4.707433719857655,
        4.7074523165539945,
        4.707470913250335,
        4.707489509946674,
        4.707508106643014,
        4.7075267033393535,
        4.707545776874061,
        4.707564373570401,
        4.70758297026674,
        4.70760156696308,
        4.70762016365942,
        4.70763876035576,
        4.707657357052099,
        4.707675953748439,
        4.707694550444779,
        4.707713147141119,
        4.707731743837458,
        4.707750340533798,
        4.707768937230138,
        4.707787533926478,
        4.707806130622817,
        4.707824727319157,
        4.707843800853865,
        4.707862397550204,
        4.707880994246544,
        4.707899590942883,
        4.7079181876392235,
        4.707936784335563,
        4.707955381031903,
        4.707973977728242,
        4.7079925744245825,
        4.708011171120922,
        4.708029767817262,
        4.708048364513601,
        4.7080669612099415,
        4.708085557906281,
        4.708104154602621,
        4.70812275129896,
        4.7081413479953005,
        4.70815994469164,
        4.70817854138798,
        4.708197138084319,
        4.7082157347806595,
        4.708234331476999,
        4.708252928173338,
        4.708271524869678,
        4.7082896447276505,
        4.70830824142399,
        4.70832683812033,
        4.708345434816669,
        4.7083640315130095,
        4.708382628209349,
        4.708401224905689,
        4.708419821602028,
        4.7084384182983685,
        4.708457014994708,
        4.708475611691048,
        4.708494208387387,
        4.708512805083727,
        4.708531401780067,
        4.708549998476406,
        4.708568595172746,
        4.708586715030719,
        4.708605311727058,
        4.708623908423398,
        4.708642505119737,
        4.7086611018160776,
        4.708920501888098,
        4.7089390985844375,
        4.708957695280778,
        4.708976291977117,
        4.708994888673457,
        4.7090134853697965,
        4.709031605227769,
        4.709050201924108,
        4.709068798620448,
        4.7090873953167875,
        4.709105992013128,
        4.709124588709467,
        4.709142708567439,
        4.7091613052637795,
        4.709179901960119,
        4.709198498656459,
        4.709217095352798,
        4.709235215210771,
        4.70925381190711,
        4.70927240860345,
        4.709291005299789,
        4.70930960199613,
        4.709327721854101,
        4.709346318550441,
        4.7093649152467805,
        4.709383511943121,
        4.70940210863946,
        4.709420228497432,
        4.7094388251937715,
        4.709457421890112,
        4.709476018586451,
        4.709494138444423,
        4.7095127351407635,
        4.709531331837103,
        4.709549928533443,
        4.709568048391414,
        4.709586645087755,
        4.709605241784094,
        4.709623838480434,
        4.709641958338406,
        4.709660555034746,
        4.709679151731085,
        4.709697748427425,
        4.7097158682853975,
        4.709734464981737,
        4.709753061678077,
        4.709771181536048,
        4.7097897782323885,
        4.709808374928728,
        4.709826971625068,
        4.70984509148304,
        4.70986368817938,
        4.70988228487572,
        4.709900404733691,
        4.709919001430031,
        4.709937598126371,
        4.709955717984343,
        4.709974314680682,
        4.7099929113770225,
        4.710011031234995,
        4.710029627931334,
        4.710048224627674,
        4.710066344485646,
        4.710084941181986,
        4.710103537878325,
        4.710121657736297,
        4.710140254432637,
        4.710158851128977,
        4.710176970986949,
        4.7101955676832885,
        4.710214164379629,
        4.7102322842376,
        4.71025088093394,
        4.71026947763028,
        4.710287597488252,
        4.710306194184592,
        4.7103243140425635,
        4.710342910738904,
        4.710361507435243,
        4.710379627293215,
        4.7103982239895545,
        4.710416343847527,
        4.710434940543867,
        4.710453537240206,
        4.710471657098179,
        4.710490253794518,
        4.71050837365249,
        4.71052697034883,
        4.71054556704517,
        4.710563686903142,
        4.710582283599481,
        4.710600403457454,
        4.710619000153793,
        4.710637120011765,
        4.710655716708105,
        4.710674313404445,
        4.710692433262417,
        4.710711029958756,
        4.7107291498167285,
        4.710747746513069,
        4.71076586637104,
        4.71078446306738,
        4.710802582925352,
        4.710821179621692,
        4.710839776318031,
        4.7108578961760035,
        4.710876492872344,
        4.710894612730315,
        4.710913209426655,
        4.7109313292846275,
        4.710949925980967,
        4.710968045838939,
        4.710986642535278,
        4.711004762393251,
        4.71102335908959,
        4.711041478947562,
        4.7110600756439025,
        4.711078195501874,
        4.711096792198214,
        4.711114912056186,
        4.711133508752526,
        4.711151628610498,
        4.711170225306837,
        4.7111883451648096,
        4.711206941861149,
        4.711225061719121,
        4.711243658415461,
        4.711261778273433,
        4.711279898131405,
        4.711298494827745,
        4.711316614685717,
        4.711335211382057,
        4.711353331240029,
        4.711371927936368,
        4.711390047794341,
        4.71140864449068,
        4.711426764348652,
        4.7114448842066246,
        4.711463480902964,
        4.711481600760936,
        4.711500197457275,
        4.711518317315248,
        4.711536914011588,
        4.711555033869559,
        4.711573153727532,
        4.711591750423872,
        4.711609870281843,
        4.711628466978183,
        4.711646586836155,
        4.711664706694127,
        4.711683303390467,
        4.711701423248439,
        4.711720019944779,
        4.711738139802751,
        4.7117562596607225,
        4.711774856357063,
        4.711792976215035,
        4.711811096073006,
        4.711829692769347,
        4.711847812627318,
        4.711866409323658,
        4.7118845291816305,
        4.711902649039602,
        4.711921245735942,
        4.711939365593914,
        4.711957485451886,
        4.711976082148226,
        4.711994202006198,
        4.71201232186417,
        4.71203091856051,
        4.712049038418481,
        4.7120671582764535,
        4.712085754972794,
        4.712103874830765,
        4.712121994688737,
        4.712140591385078,
        4.712158711243049,
        4.712176831101021,
        4.7121954277973614,
        4.712213547655333,
        4.712231667513305,
        4.712250264209644,
        4.712268384067617,
        4.712286503925589,
        4.712304623783561,
        4.712323220479901,
        4.712341340337873,
        4.712359460195845,
        4.7123780568921845,
        4.712396176750157,
        4.712414296608129,
        4.7124324164661004,
        4.712451013162441,
        4.712469133020412,
        4.712487252878384,
        4.712505372736357,
        4.712523969432696,
        4.712542089290668,
        4.7125602091486405,
        4.712578329006613,
        4.712596925702952,
        4.712615045560924,
        4.712633165418896,
        4.712651285276868,
        4.712669881973208,
        4.71268800183118,
        4.712706121689152,
        4.712724241547124,
        4.7127423614050965,
        4.712760958101436,
        4.712779077959408,
        4.71279719781738,
        4.712815317675352,
        4.712833914371692,
        4.712852034229663,
        4.712870154087636,
        4.712888273945608,
        4.71290639380358,
        4.712924513661552,
        4.712943110357892,
        4.712961230215864,
        4.7129793500738355,
        4.712997469931808,
        4.71301558978978,
        4.713034186486119,
        4.713052306344092,
        4.713070426202064,
        4.713088546060035,
        4.713106665918008,
        4.71312478577598,
        4.713142905633952,
        4.7131615023302915,
        4.713179622188264,
        4.713197742046236,
        4.7132158619042075,
        4.71323398176218,
        4.713252101620152,
        4.7132702214781235,
        4.713288818174464,
        4.713306938032436,
        4.713325057890407,
        4.71334317774838,
        4.713361297606352,
        4.713379417464324,
        4.713397537322296,
        4.713415657180268,
        4.71343377703824,
        4.7134523737345795,
        4.713470493592552,
        4.713488613450524,
        4.7135067333084955,
        4.713524853166468,
        4.71354297302444,
        4.713561092882412,
        4.713579212740384,
        4.713597332598356,
        4.713615452456328,
        4.7136335723143,
        4.713651692172272,
        4.713670288868612,
        4.713688408726584,
        4.713706528584556,
        4.713724648442528,
        4.7137427683005,
        4.713760888158472,
        4.713779008016444,
        4.713797127874416,
        4.713815247732388,
        4.71383336759036,
        4.713851487448332,
        4.713869607306305,
        4.713887727164276,
        4.713905847022248,
        4.713923966880221,
        4.713942086738193,
        4.713960206596164,
        4.713978326454137,
        4.713996446312109,
        4.71401456617008,
        4.714032686028053,
        4.714050805886025,
        4.714068925743997,
        4.714087045601969,
        4.714232004465745,
        4.714250124323717,
        4.71426824418169,
        4.714286364039661,
        4.714304483897633,
        4.714322603755606,
        4.714340723613577,
        4.714358843471549,
        4.714376963329522,
        4.714395083187494,
        4.714413203045465,
        4.714431322903438,
        4.714448965923042,
        4.714467085781014,
        4.7144852056389865,
        4.714503325496958,
        4.71452144535493,
        4.7145395652129025,
        4.714557685070874,
        4.714575804928846,
        4.7145939247868185,
        4.714612044644791,
        4.714630164502762,
        4.7146482843607345,
        4.714665927380339,
        4.714684047238311,
        4.7147021670962825,
        4.714720286954255,
        4.714738406812227,
        4.714756526670199,
        4.714774646528171,
        4.714792766386143,
        4.7148104094057475,
        4.71482852926372,
        4.714846649121692,
        4.7148647689796634,
        4.714882888837636,
        4.714901008695608,
        4.714919128553579,
        4.714937248411552,
        4.714954891431156,
        4.714973011289128,
        4.714991131147101,
        4.715009251005072,
        4.715027370863044,
        4.715045490721017,
        4.715063133740621,
        4.715081253598592,
        4.715099373456565,
        4.715117493314537,
        4.715135613172509,
        4.715153733030481,
        4.715171376050085,
        4.715189495908057,
        4.71520761576603,
        4.715225735624001,
        4.715243855481973,
        4.715261498501578,
        4.71527961835955,
        4.715297738217522,
        4.715315858075494,
        4.715333977933466,
        4.71535162095307,
        4.715369740811043,
        4.715387860669014,
        4.715405980526986,
        4.715423623546591,
        4.715441743404563,
        4.715459863262535,
        4.715477983120507,
        4.715496102978479,
        4.715513745998083,
        4.715531865856056,
        4.715549985714028,
        4.715568105571999,
        4.715585748591604,
        4.715603868449576,
        4.715621988307548,
        4.715639631327153,
        4.715657751185124,
        4.715675871043096,
        4.715693990901069,
        4.715711633920673,
        4.7157297537786445,
        4.715747873636617,
        4.715765993494589,
        4.715783636514193,
        4.715801756372166,
        4.715819876230137,
        4.7158375192497415,
        4.715855639107714,
        4.715873758965686,
        4.715891878823658,
        4.715909521843262,
        4.715927641701234,
        4.715945761559206,
        4.715963404578811,
        4.715981524436783,
        4.7159996442947545,
        4.716017287314359,
        4.716035407172331,
        4.7160535270303034,
        4.716071170049908,
        4.716089289907879,
        4.7161074097658515,
        4.716125052785456,
        4.716143172643428,
        4.7161612925014005,
        4.716178935521005,
        4.716197055378976,
        4.7162151752369486,
        4.716232818256553,
        4.716250938114525,
        4.71626858113413,
        4.716286700992101,
        4.716304820850073,
        4.716322463869678,
        4.71634058372765,
        4.716358703585622,
        4.716376346605227,
        4.716394466463198,
        4.716412109482802,
        4.716430229340775,
        4.716448349198747,
        4.716465992218351,
        4.716484112076323,
        4.716501755095927,
        4.7165198749538995,
        4.716537994811872,
        4.716555637831476,
        4.7165737576894475,
        4.716591400709052,
        4.716609520567024,
        4.716627163586629,
        4.716645283444601,
        4.716663403302573,
        4.7166810463221776,
        4.716699166180149,
        4.716716809199753,
        4.716734929057726,
        4.71675257207733,
        4.716770691935302,
        4.716788811793274,
        4.716806454812878,
        4.71682457467085,
        4.716842217690455,
        4.716860337548427,
        4.716877980568031,
        4.716896100426004,
        4.716913743445607,
        4.7169318633035795,
        4.716949506323184,
        4.716967626181156,
        4.7169852692007606,
        4.717003389058733,
        4.717021032078337,
        4.717039151936309,
        4.717056794955913,
        4.717074914813885,
        4.71709255783349,
        4.717110677691462,
        4.717128320711066,
        4.717146440569038,
        4.717164083588642,
        4.717182203446614,
        4.717199846466219,
        4.717217966324191,
        4.7172356093437955,
        4.717253729201767,
        4.717271372221371,
        4.717289492079344,
        4.717307135098948,
        4.71732525495692,
        4.717342897976525,
        4.717361017834497,
        4.717378660854101,
        4.717396303873705,
        4.717414423731677,
        4.7174320667512815,
        4.717450186609254,
        4.717467829628858,
        4.71748594948683,
        4.717503592506435,
        4.717521235526039,
        4.717539355384011,
        4.717556998403615,
        4.717575118261587,
        4.717592761281192,
        4.717860267605463,
        4.7178779106250675,
        4.71789603048304,
        4.717913673502644,
        4.7179313165222485,
        4.71794943638022,
        4.717967079399824,
        4.717985199257797,
        4.718002842277401,
        4.718020485297005,
        4.718038605154978,
        4.718056248174582,
        4.718073891194186,
        4.718092011052158,
        4.718109654071762,
        4.718127297091367,
        4.718145416949339,
        4.718163059968943,
        4.718180702988548,
        4.71819882284652,
        4.718216465866124,
        4.718234108885729,
        4.718251751905333,
        4.7182698717633045,
        4.718287514782909,
        4.718305157802513,
        4.7183232776604855,
        4.71834092068009,
        4.718358563699694,
        4.718376683557667,
        4.718394326577271,
        4.718411969596875,
        4.71842961261648,
        4.718447732474451,
        4.7184653754940555,
        4.71848301851366,
        4.718500661533264,
        4.718518781391237,
        4.718536424410841,
        4.718554067430445,
        4.718572187288418,
        4.718589830308022,
        4.718607473327626,
        4.718625116347231,
        4.718643236205202,
        4.718660879224807,
        4.718678522244411,
        4.718696165264015,
        4.71871380828362,
        4.718731928141592,
        4.718749571161196,
        4.718767214180801,
        4.718784857200405,
        4.718802977058377,
        4.718820620077981,
        4.718838263097585,
        4.71885590611719,
        4.718873549136794,
        4.718891668994766,
        4.718909312014371,
        4.718926955033975,
        4.71894459805358,
        4.718962241073184,
        4.718980360931156,
        4.718998003950761,
        4.719015646970365,
        4.719033289989969,
        4.719050933009574,
        4.719068576029178,
        4.71908669588715,
        4.719104338906754,
        4.719121981926358,
        4.719139624945963,
        4.719157267965567,
        4.7191749109851715,
        4.719193030843144,
        4.719210673862748,
        4.719228316882353,
        4.719245959901957,
        4.719263602921561,
        4.719281245941166,
        4.71929888896077,
        4.7193170088187415,
        4.719334651838346,
        4.71935229485795,
        4.719369937877555,
        4.719387580897159,
        4.719405223916763,
        4.719422866936368,
        4.719440509955972,
        4.7194586298139445,
        4.7213185378671,
        4.723320543753828,
        4.723341524642006,
        4.723362505530185,
        4.723383486418363,
        4.7234044673065405,
        4.723425925033086,
        4.723446905921264,
        4.723467886809443,
        4.723488867697621,
        4.723509848585799,
        4.723530829473978,
        4.723551810362156,
        4.723572791250334,
        4.723594248976879,
        4.723615229865057,
        4.723636210753236,
        4.723657191641414,
        4.723678172529592,
        4.72369915341777,
        4.723720134305949,
        4.723741115194127,
        4.723762096082305,
        4.7237830769704825,
        4.723804534697028,
        4.723825515585207,
        4.723846496473385,
        4.723867477361563,
        4.723888458249741,
        4.72390943913792,
        4.723930420026098,
        4.723951400914276,
        4.723972381802454,
        4.723993362690632,
        4.72401434357881,
        4.724035324466988,
        4.724056305355167,
        4.724077286243345,
        4.724098267131523,
        4.724119248019701,
        4.7241402289078795,
        4.7241612097960575,
        4.724182190684235,
        4.724203171572413,
        4.724224152460592,
        4.72424513334877,
        4.724266114236948,
        4.724287095125126,
        4.724308076013305,
        4.724329056901483,
        4.724350037789661,
        4.7243710186778385,
        4.724391999566017,
        4.724412980454195,
        4.724433961342373,
        4.724454942230552,
        4.72447592311873,
        4.724496904006908,
        4.724517884895086,
        4.7245388657832645,
        4.7245598466714425,
        4.72458082755962,
        4.724601808447798,
        4.724622789335977,
        4.724643770224155,
        4.724664751112333,
        4.724685255162144,
        4.724706236050322,
        4.7247272169385,
        4.724748197826678,
        4.7247691787148565,
        4.724790159603034,
        4.724811140491212,
        4.72483212137939,
        4.724853102267569,
        4.724874083155747,
        4.724894587205558,
        4.724915568093736,
        4.724936548981914,
        4.724957529870092,
        4.7249785107582705,
        4.724999491646448,
        4.725020472534626,
        4.725041453422804,
        4.725061957472615,
        4.725082938360793,
        4.725103919248971,
        4.72512490013715,
        4.725145881025328,
        4.725166861913506,
        4.725187365963317,
        4.7252083468514945,
        4.725229327739672,
        4.72525030862785,
        4.725271289516029,
        4.725292270404207,
        4.725312774454017,
        4.725333755342196,
        4.725354736230374,
        4.725375717118552,
        4.725396698006731,
        4.725417202056541,
        4.7254381829447185,
        4.725459163832897,
        4.725480144721075,
        4.725501125609253,
        4.725521629659064,
        4.725542610547242,
        4.72556359143542,
        4.725584572323598,
        4.725605076373409,
        4.725626057261587,
        4.725647038149765,
        4.725668019037943,
        4.7256885230877534,
        4.725709503975931,
        4.72573048486411,
        4.725751465752288,
        4.725771969802098,
        4.725792950690277,
        4.725813931578455,
        4.725834912466633,
        4.725855416516444,
        4.725876397404622,
        4.7258973782927995,
        4.7259178823426105,
        4.725938863230788,
        4.725959844118966,
        4.725980348168777,
        4.726001329056955,
        4.726022309945133,
        4.726043290833312,
        4.726063794883122,
        4.7260847757713,
        4.726105756659479,
        4.726126260709289,
        4.726147241597467,
        4.726168222485645,
        4.726188726535455,
        4.726209707423633,
        4.726230688311812,
        4.726251192361622,
        4.7262721732498,
        4.726292677299611,
        4.726313658187789,
        4.726334639075967,
        4.726355143125778,
        4.726376124013956,
        4.726397104902134,
        4.7264176089519445,
        4.726438589840122,
        4.726459093889933,
        4.726480074778111,
        4.726501055666289,
        4.7265215597161,
        4.726542540604278,
        4.726563044654089,
        4.726584025542267,
        4.726605006430445,
        4.726625510480256,
        4.726853916058377,
        4.726874896946555,
        4.726895400996365,
        4.726916381884544,
        4.726937362772722,
        4.726957866822532,
        4.72697884771071,
        4.72699935176052,
        4.727020332648698,
        4.727040836698509,
        4.727061817586687,
        4.727082321636498,
        4.727103302524676,
        4.727123806574486,
        4.727144787462665,
        4.727165291512475,
        4.727186272400654,
        4.727206776450464,
        4.727227757338642,
        4.7272482613884526,
        4.7272692422766305,
        4.727289746326441,
        4.727310250376251,
        4.727331231264429,
        4.72735173531424,
        4.727372716202418,
        4.727393220252229,
        4.727414201140407,
        4.727434705190217,
        4.727455686078396,
        4.727476190128206,
        4.727496694178017,
        4.727517675066195,
        4.727538179116005,
        4.7275591600041835,
        4.7275796640539935,
        4.7276006449421715,
        4.727621148991982,
        4.727641653041792,
        4.727662633929971,
        4.727683137979781,
        4.727704118867959,
        4.72772462291777,
        4.72774512696758,
        4.727766107855759,
        4.727786611905569,
        4.72780711595538,
        4.727828096843558,
        4.727848600893369,
        4.727869581781547,
        4.728468490771359,
        4.72848899482117,
        4.72850949887098,
        4.728530002920791,
        4.728550983808969,
        4.728571487858779,
        4.72859199190859,
        4.728612495958401,
        4.7286334768465785,
        4.7286539808963886,
        4.7286744849461995,
        4.7286949889960095,
        4.72871549304582,
        4.728736473933998,
        4.728756977983809,
        4.728777482033619,
        4.72879798608343,
        4.72881849013324,
        4.728839471021418,
        4.728859975071229,
        4.728880479121039,
        4.72890098317085,
        4.72892148722066,
        4.728942468108839,
        4.728962972158649,
        4.72898347620846,
        4.72900398025827,
        4.729024484308081,
        4.729044988357891,
        4.729065969246069,
        4.7290864732958795,
        4.7291069773456895,
        4.7291274813955,
        4.7291479854453105,
        4.729168489495121,
        4.729188993544931,
        4.72920997443311,
        4.72923047848292,
        4.729250982532731,
        4.729271486582541,
        4.729291990632352,
        4.729312494682162,
        4.729559020118256,
        4.7295795241680665,
        4.7296000282178765,
        4.729620532267687,
        4.729641036317497,
        4.729662017205675,
        4.729682521255486,
        4.729703025305296,
        4.729723529355107,
        4.729744033404917,
        4.729764537454728,
        4.729785041504538,
        4.729805545554349,
        4.729826049604159,
        4.72984655365397,
        4.72986705770378,
        4.729887561753591,
        4.729908065803401,
        4.729928569853212,
        4.729949073903022,
        4.729969577952833,
        4.729990082002643,
        4.730010586052454,
        4.730031090102264,
        4.730051594152075,
        4.730072098201885,
        4.730092602251696,
        4.730113106301506,
        4.7301336103513165,
        4.7301541144011265,
        4.7301746184509375,
        4.7301951225007475,
        4.730215626550558,
        4.730236130600368,
        4.730256157811811,
        4.730276661861622,
        4.730297165911432,
        4.730317669961243,
        4.730338174011053,
        4.730358678060864,
        4.730379182110674,
        4.730399686160485,
        4.730420190210295,
        4.730440694260106,
        4.730461198309916,
        4.730481702359727,
        4.730502206409537,
        4.730522710459348,
        4.730542737670791,
        4.730563241720601,
        4.730583745770412,
        4.730604249820222,
        4.730624753870033,
        4.730645257919843,
        4.730665761969654,
        4.730686266019464,
        4.730706293230907,
        4.730726797280717,
        4.730747301330528,
        4.730767805380338,
        4.730788309430149,
        4.730808813479959,
        4.7308293175297695,
        4.7308493447412125,
        4.730869848791023,
        4.7308903528408335,
        4.7309108568906435,
        4.730931360940454,
        4.730951864990264,
        4.730971892201707,
        4.7309923962515175,
        4.731012900301328,
        4.731033404351138,
        4.731053908400949,
        4.731074412450759,
        4.731094439662202,
        4.731114943712013,
        4.731135447761823,
        4.731155951811634,
        4.731175979023076,
        4.731196483072887,
        4.731216987122697,
        4.731237491172508,
        4.731257995222318,
        4.731278022433761,
        4.731298526483572,
        4.731319030533382,
        4.731339534583193,
        4.731359561794635,
        4.731380065844446,
        4.731400569894256,
        4.731421073944067,
        4.73144110115551,
        4.73146160520532,
        4.731482109255131,
        4.731502613304941,
        4.731522640516384,
        4.731543144566194,
        4.731563648616005,
        4.731584152665815,
        4.731604179877258,
        4.731624683927069,
        4.731645187976879,
        4.731665215188322,
        4.731685719238132,
        4.731706223287943,
        4.731726250499386,
        4.731746754549196,
        4.731767258599007,
        4.731787762648817,
        4.73180778986026,
        4.731828293910071,
        4.731848797959881,
        4.731868825171324,
        4.731889329221134,
        4.731909833270945,
        4.731929860482388,
        4.731950364532198,
        4.731970391743641,
        4.731990895793451,
        4.732011399843262,
        4.732031427054705,
        4.732051931104515,
        4.7320724351543255,
        4.732092462365768,
        4.7321129664155785,
        4.732133470465389,
        4.732153497676832,
        4.7321740017266425,
        4.732194028938085,
        4.7322145329878955,
        4.7322350370377055,
        4.7322550642491485,
        4.7322755682989595,
        4.732295595510402,
        4.7323160995602125,
        4.7323366036100225,
        4.7323566308214655,
        4.732377134871276,
        4.7323971620827185,
        4.7324176661325295,
        4.7324376933439725,
        4.7324581973937825,
        4.732478701443593,
        4.7324987286550355,
        4.732519232704846,
        4.732539259916289,
        4.7325597639660995,
        4.7325797911775425,
        4.7326002952273525,
        4.7326203224387955,
        4.732640826488606,
        4.7326608537000485,
        4.732681357749859,
        4.7327018617996695,
        4.7327218890111125,
        4.732742393060923,
        4.7327624202723655,
        4.732782924322176,
        4.732802951533619,
        4.732823455583429,
        4.732843482794872,
        4.7328639868446825,
        4.7328840140561255,
        4.732904518105936,
        4.7329245453173785,
        4.732945049367189,
        4.732965076578632,
        4.7329851037900745,
        4.733005607839885,
        4.7330256350513285,
        4.7330461391011385,
        4.7330661663125815,
        4.7330866703623915,
        4.7331066975738345,
        4.733127201623645,
        4.7331472288350875,
        4.7331677328848984,
        4.7331877600963415,
        4.733207787307784,
        4.7332282913575945,
        4.7332483185690375,
        4.7332688226188475,
        4.7332888498302905,
        4.7333093538801005,
        4.7333293810915436,
        4.733349408302987,
        4.733369912352797,
        4.73338993956424,
        4.7334104436140505,
        4.733430470825493,
        4.733450498036936,
        4.7334710020867465,
        4.733491029298189,
        4.733511533348,
        4.733531560559443,
        4.733551587770885,
        4.733572091820696,
        4.733592119032139,
        4.733612146243581,
        4.733632650293392,
        4.733652677504835,
        4.733673181554645,
        4.733693208766088,
        4.733713235977531,
        4.733733740027341,
        4.733753767238784,
        4.733773794450227,
        4.733794298500037,
        4.73381432571148,
        4.733834352922923,
        4.733854856972733,
        4.733874884184176,
        4.733894911395619,
        4.733914938607061,
        4.733935442656872,
        4.733955469868315,
        4.733975497079757,
        4.733996001129568,
        4.734016028341011,
        4.734036055552453,
        4.734056559602264,
        4.734076586813707,
        4.734096614025149,
        4.734116641236592,
        4.734137145286403,
        4.734157172497845,
        4.734177199709288,
        4.734197703759099,
        4.734217730970541,
        4.734237758181984,
        4.734257785393427,
        4.734278289443237,
        4.73429831665468,
        4.734318343866123,
        4.734338371077566,
        4.734358398289008,
        4.734378902338819,
        4.734398929550262,
        4.734418956761704,
        4.734438983973147,
        4.734459488022958,
        4.7344795152344,
        4.734499542445843,
        4.734519569657286,
        4.734539596868729,
        4.734560100918539,
        4.734580128129982,
        4.734600155341425,
        4.7346201825528675,
        4.7346402097643105,
        4.7346607138141215,
        4.734680741025564,
        4.734700768237007,
        4.73472079544845,
        4.734740822659893,
        4.734760849871335,
        4.734781353921146,
        4.734801381132589,
        4.734821408344031,
        4.734841435555474,
        4.734861462766917,
        4.73488148997836,
        4.73490199402817,
        4.734922021239613,
        4.734942048451056,
        4.734962075662498,
        4.734982102873941,
        4.735002130085384,
        4.735022157296827,
        4.735042184508269,
        4.73506268855808,
        4.735082715769523,
        4.735102742980965,
        4.735122770192408,
        4.735142797403851,
        4.735162824615294,
        4.735182851826736,
        4.735202879038179,
        4.735222906249622,
        4.735242933461065,
        4.735262960672507,
        4.735283464722318,
        4.735303491933761,
        4.735323519145203,
        4.7353435463566464,
        4.7353635735680895,
        4.7353836007795325,
        4.735403627990975,
        4.735423655202418,
        4.735443682413861,
        4.735463709625304,
        4.735483736836746,
        4.735503764048189,
        4.735523791259632,
        4.735543818471075,
        4.735563845682517,
        4.73558387289396,
        4.735603900105403,
        4.735623927316846,
        4.735643954528288,
        4.735663981739731,
        4.735684008951174,
        4.735704036162617,
        4.735724063374059,
        4.735744090585502,
        4.735764117796945,
        4.735784145008388,
        4.735984417122816,
        4.736004444334259,
        4.736024471545702,
        4.736044498757144,
        4.736064525968587,
        4.73608455318003,
        4.736104580391473,
        4.736124607602915,
        4.736144634814358,
        4.736164185187433,
        4.736184212398876,
        4.736204239610319,
        4.736224266821761,
        4.736244294033204,
        4.736264321244647,
        4.73628434845609,
        4.736304375667532,
        4.736324402878975,
        4.736344430090418,
        4.736364457301861,
        4.736384007674936,
        4.7364040348863785,
        4.7364240620978215,
        4.7364440893092645,
        4.7364641165207075,
        4.73648414373215,
        4.736504170943593,
        4.736523721316668,
        4.736543748528111,
        4.736563775739554,
        4.736583802950996,
        4.736603830162439,
        4.736623857373882,
        4.736643884585325,
        4.7366634349584,
        4.736683462169842,
        4.736703489381285,
        4.736723516592728,
        4.736743543804171,
        4.736763571015613,
        4.736783121388688,
        4.736803148600131,
        4.736823175811574,
        4.736843203023017,
        4.7368632302344595,
        4.736882780607535,
        4.736902807818978,
        4.736922835030421,
        4.736942862241864,
        4.736962889453306,
        4.736982439826381,
        4.737002467037824,
        4.737022494249267,
        4.73704252146071,
        4.737062071833785,
        4.737082099045227,
        4.73710212625667,
        4.737122153468113,
        4.737141703841188,
        4.737161731052631,
        4.737181758264073,
        4.737201785475516,
        4.7372213358485915,
        4.7372413630600345,
        4.7372613902714775,
        4.73728141748292,
        4.737300967855995,
        4.737320995067438,
        4.737341022278881,
        4.737361049490324,
        4.737380599863399,
        4.737400627074841,
        4.737420654286284,
        4.737440204659359,
        4.737460231870802,
        4.737480259082245,
        4.73749980945532,
        4.737519836666762,
        4.737539863878205,
        4.737559891089648,
        4.7375794414627235,
        4.7375994686741665,
        4.737619495885609,
        4.737639046258684,
        4.737659073470127,
        4.73767910068157,
        4.737698651054645,
        4.737718678266088,
        4.73773870547753,
        4.737758255850605,
        4.737778283062048,
        4.737797833435123,
        4.737817860646566,
        4.737837887858009,
        4.737857438231084,
        4.737877465442526,
        4.737897492653969,
        4.7379170430270445,
        4.7379370702384875,
        4.737956620611563,
        4.737976647823005,
        4.737996675034448,
        4.738016225407523,
        4.738036252618966,
        4.738055802992041,
        4.738075830203484,
        4.738095857414926,
        4.738115407788001,
        4.738135434999444,
        4.738154985372519,
        4.738175012583962,
        4.738195039795405,
        4.7382145901684805,
        4.738234617379923,
        4.738254167752998,
        4.738274194964441,
        4.738293745337516,
        4.738313772548959,
        4.738333322922034,
        4.738353350133477,
        4.738373377344919,
        4.738392927717994,
        4.738412954929437,
        4.738432505302512,
        4.738452532513955,
        4.73847208288703,
        4.738492110098473,
        4.7385116604715485,
        4.738531687682991,
        4.738551238056066,
        4.738571265267509,
        4.738590815640584,
        4.738610842852027,
        4.738630393225102,
        4.738650420436545,
        4.73866997080962,
        4.738689998021062,
        4.738709548394137,
        4.73872957560558,
        4.738749125978655,
        4.738769153190098,
        4.7387887035631735,
        4.7388087307746165,
        4.738828281147692,
        4.738848308359134,
        4.738867858732209,
        4.738887409105284,
        4.738907436316727,
        4.738926986689802,
        4.738947013901245,
        4.73896656427432,
        4.738986591485763,
        4.739006141858838,
        4.73902616907028,
        4.7390457194433555,
        4.739065269816431,
        4.739085297027874,
        4.739104847400949,
        4.739124874612392,
        4.739144424985467,
        4.739163975358542,
        4.739184002569985,
        4.73920355294306,
        4.739223580154502,
        4.739243130527577,
        4.739262680900652,
        4.739282708112095,
        4.7393022584851705,
        4.7393222856966135,
        4.739341836069689,
        4.739361386442764,
        4.739381413654206,
        4.739400964027281,
        4.739420514400356,
        4.739440541611799,
        4.739460091984874,
        4.739479642357949,
        4.739499669569392,
        4.739519219942467,
        4.73953924715391,
        4.7395587975269855,
        4.739578347900061,
        4.739598375111503,
        4.739617925484578,
        4.739637475857653,
        4.739657503069096,
        4.739677053442171,
        4.739696603815246,
        4.739716154188321,
        4.739736181399764,
        4.739755731772839,
        4.7397752821459145,
        4.7397953093573575,
        4.739814859730433,
        4.739834410103508,
        4.73985443731495,
        4.739873987688025,
        4.7398935380611,
        4.739913088434175,
        4.739933115645618,
        4.739952666018693,
        4.739972216391768,
        4.7399917667648435,
        4.7400117939762865,
        4.740031344349362,
        4.740050894722437,
        4.740070445095512,
        4.740090472306955,
        4.74011002268003,
        4.740129573053105,
        4.74014912342618,
        4.740169150637622,
        4.740188701010697,
        4.740208251383772,
        4.7402278017568475,
        4.7402478289682906,
        4.740267379341366,
        4.740286929714441,
        4.740306480087516,
        4.740326030460591,
        4.740346057672034,
        4.740365608045109,
        4.740385158418184,
        4.740404708791259,
        4.740424259164334,
        4.7404442863757765,
        4.740463836748852,
        4.740483387121927,
        4.740502937495002,
        4.740522487868077,
        4.740542038241152,
        4.740562065452595,
        4.74058161582567,
        4.740601166198745,
        4.74062071657182,
        4.7406402669448955,
        4.740659817317971,
        4.740679844529414,
        4.740699394902489,
        4.740718945275564,
        4.740738495648639,
        4.740758046021714,
        4.740777596394789,
        4.740797146767864,
        4.740816697140939,
        4.740836724352382,
        4.7408562747254575,
        4.740875825098533,
        4.740895375471608,
        4.740914925844683,
        4.740934476217758,
        4.740954026590833,
        4.740973576963908,
        4.740993127336983,
        4.741013154548425,
        4.7410327049215,
        4.7410522552945755,
        4.741071805667651,
        4.741091356040726,
        4.741110906413801,
        4.741130456786876,
        4.741150007159951,
        4.741169557533026,
        4.741189107906101,
        4.741208658279176,
        4.7412282086522515,
        4.741247759025327,
        4.741267309398402,
        4.741286859771477,
        4.741306410144552,
        4.741325960517627,
        4.74134598772907,
        4.741365538102145,
        4.74138508847522,
        4.741404638848295,
        4.74142418922137,
        4.7414437395944455,
        4.741463289967521,
        4.741482840340596,
        4.741502390713671,
        4.741521941086746,
        4.741541491459821,
        4.741561041832896,
        4.741580592205971,
        4.741600142579046,
        4.7416196929521215,
        4.741639243325197,
        4.741658793698272,
        4.741678344071347,
        4.741697417606054,
        4.741716967979129,
        4.741736518352204,
        4.741756068725279,
        4.741775619098354,
        4.7417951694714295,
        4.741814719844505,
        4.74183427021758,
        4.741853820590655,
        4.74187337096373,
        4.741892921336805,
        4.74191247170988,
        4.741932022082955,
        4.74195157245603,
        4.7419711228291055,
        4.741990673202181,
        4.742010223575256,
        4.742029297109963,
        4.742048847483038,
        4.742068397856113,
        4.742087948229188,
        4.742107498602263,
        4.742127048975338,
        4.7421465993484135,
        4.742166149721489,
        4.742185700094564,
        4.742205250467639,
        4.742224324002346,
        4.742243874375421,
        4.742263424748496,
        4.742282975121571,
        4.7423025254946465,
        4.742322075867722,
        4.742341626240797,
        4.742361176613872,
        4.74238025014858,
        4.742399800521655,
        4.74241935089473,
        4.742438901267805,
        4.742458451640879,
        4.7424780020139545,
        4.742497075548663,
        4.742516625921738,
        4.742536176294813,
        4.742555726667888,
        4.742575277040963,
        4.742594827414038,
        4.742613900948745,
        4.7426334513218205,
        4.742653001694896,
        4.742672552067971,
        4.742692102441046,
        4.742711175975753,
        4.742730726348828,
        4.742750276721903,
        4.742769827094978,
        4.742789377468053,
        4.742808451002761,
        4.742828001375836,
        4.742847551748911,
        4.742867102121986,
        4.742886175656694,
        4.742905726029769,
        4.742925276402844,
        4.742944826775919,
        4.7429639003106265,
        4.742983450683702,
        4.743003001056777,
        4.743022551429852,
        4.743041624964559,
        4.743061175337634,
        4.743080725710709,
        4.743100276083784,
        4.743119349618492,
        4.743138899991567,
        4.743158450364642,
        4.743178000737717,
        4.743197074272424,
        4.743216624645499,
        4.743236175018574,
        4.743255248553282,
        4.7432747989263575,
        4.743294349299433,
        4.74331342283414,
        4.743332973207215,
        4.74335252358029,
        4.743372073953365,
        4.743391147488072,
        4.743410697861147,
        4.7434302482342225,
        4.74344932176893,
        4.743468872142005,
        4.74348842251508,
        4.743507496049788,
        4.743527046422863,
        4.743546596795938,
        4.7435656703306455,
        4.743585220703721,
        4.743604771076796,
        4.743623844611503,
        4.743643394984578,
        4.743662468519285,
        4.74368201889236,
        4.743701569265435,
        4.743720642800143,
        4.743740193173218,
        4.743759743546293,
        4.743778817081001,
        4.743798367454076,
        4.743817440988783,
        4.743836991361858,
        4.743856541734933,
        4.743875615269641,
        4.743895165642716,
        4.743914239177423,
        4.743933789550498,
        4.743953339923573,
        4.743972413458281,
        4.743991963831356,
        4.7440110373660636,
        4.744030587739139,
        4.744049661273846,
        4.744069211646921,
        4.744088762019996,
        4.744107835554703,
        4.744127385927778,
        4.744146459462486,
        4.744166009835561,
        4.744185083370269,
        4.744204633743344,
        4.744223707278051,
        4.744243257651126,
        4.744262331185833,
        4.7442818815589085,
        4.744301431931984,
        4.744320505466691,
        4.744340055839766,
        4.744359129374474,
        4.744378679747549,
        4.744397753282256,
        4.744417303655331,
        4.744436377190039,
        4.744455927563114,
        4.744475001097821,
        4.744494551470896,
        4.744513625005604,
        4.744533175378679,
        4.7445522489133864,
        4.7445717992864616,
        4.744590872821169,
        4.744610423194244,
        4.744629496728951,
        4.744648570263658,
        4.744668120636733,
        4.7446871941714415,
        4.744706744544517,
        4.744725818079224,
        4.744745368452299,
        4.744764441987006,
        4.744783992360081,
        4.744803065894788,
        4.7448221394294965,
        4.744841689802572,
        4.744860763337279,
        4.744880313710354,
        4.744899387245061,
        4.744918937618136,
        4.744938011152843,
        4.7449570846875515,
        4.744976635060627,
        4.744995708595334,
        4.745015258968409,
        4.745246048738369,
        4.745265599111444,
        4.745284672646151,
        4.745303746180858,
        4.745323296553933,
        4.745342370088641,
        4.745361443623349,
        4.745380993996424,
        4.745400067531131,
        4.745419141065838,
        4.745438691438913,
        4.7454577649736205,
        4.745476838508329,
        4.745496388881404,
        4.745515462416111,
        4.745534535950818,
        4.745554086323893,
        4.7455731598586,
        4.745592233393308,
        4.745611783766383,
        4.745630857301091,
        4.745649930835798,
        4.745669481208873,
        4.74568855474358,
        4.7457076282782875,
        4.745726701812996,
        4.745746252186071,
        4.745765325720778,
        4.745784399255485,
        4.745803472790192,
        4.745823023163267,
        4.7458420966979755,
        4.745861170232683,
        4.745880720605758,
        4.745899794140465,
        4.745918867675172,
        4.74593794120988,
        4.745957491582955,
        4.745976565117663,
        4.74599563865237,
        4.746014712187077,
        4.746033785721784,
        4.746053336094859,
        4.7460724096295674,
        4.746091483164275,
        4.746110556698982,
        4.746130107072057,
        4.746149180606764,
        4.746168254141472,
        4.7461873276761795,
        4.746206401210887,
        4.746225951583962,
        4.746245025118669,
        4.746264098653377,
        4.746283172188084,
        4.7463022457227915,
        4.746321796095867,
        4.746340869630574,
        4.746359943165282,
        4.746379016699989,
        4.746398090234696,
        4.7464171637694035,
        4.746436714142479,
        4.746455787677186,
        4.746474861211894,
        4.746493934746601,
        4.746513008281308,
        4.7465320818160155,
        4.746551155350724,
        4.746570705723799,
        4.746589779258506,
        4.746608852793213,
        4.74662792632792,
        4.746646999862628,
        4.746666073397336,
        4.746685146932043,
        4.746704697305118,
        4.746723770839825,
        4.746742844374533,
        4.74676191790924,
        4.746780991443948,
        4.746800064978655,
        4.746819138513362,
        4.74683821204807,
        4.746857285582777,
        4.7468763591174845,
        4.74689590949056,
        4.746914983025267,
        4.746934056559975,
        4.746953130094682,
        4.746972203629389,
        4.7469912771640965,
        4.747010350698805,
        4.747029424233512,
        4.747048497768219,
        4.747067571302926,
        4.747086644837634,
        4.7471057183723415,
        4.747124791907049,
        4.747143865441756,
        4.747162938976464,
        4.747182012511171,
        4.747201086045878,
        4.747220159580586,
        4.747239233115293,
        4.747258783488368,
        4.747277857023076,
        4.747296930557783,
        4.74731600409249,
        4.747335077627198,
        4.747354151161906,
        4.747373224696613,
        4.74739229823132,
        4.747411371766027,
        4.747430445300735,
        4.747449518835443,
        4.74746859237015,
        4.747487665904857,
        4.747620703809441,
        4.7476397773441485,
        4.747658850878857,
        4.747677924413564,
        4.747696997948271,
        4.747716071482978,
        4.747735145017686,
        4.7477542185523935,
        4.747773292087101,
        4.747792365621808,
        4.747811439156516,
        4.747830512691223,
        4.7478495862259305,
        4.747868659760638,
        4.747887256456978,
        4.747906329991685,
        4.747925403526392,
        4.7479444770610995,
        4.7479635505958075,
        4.747982624130515,
        4.748001697665222,
        4.748020771199929,
        4.748039844734637,
        4.7480589182693445,
        4.748077514965684,
        4.748096588500392,
        4.748115662035099,
        4.748134735569806,
        4.7481538091045135,
        4.7481728826392215,
        4.748191956173929,
        4.748211029708636,
        4.748229626404976,
        4.748248699939683,
        4.7482677734743906,
        4.748286847009098,
        4.748305920543805,
        4.748324994078513,
        4.74834406761322,
        4.7483626643095596,
        4.748381737844268,
        4.748400811378975,
        4.748419884913682,
        4.748438958448389,
        4.7484575551447294,
        4.748476628679437,
        4.748495702214144,
        4.748514775748852,
        4.748533849283559,
        4.748552922818266,
        4.7485715195146065,
        4.748590593049314,
        4.748609666584021,
        4.748628740118728,
        4.748647813653435,
        4.7486664103497755,
        4.748685483884483,
        4.74870455741919,
        4.748723630953898,
        4.748742227650237,
        4.7487613011849445,
        4.748780374719653,
        4.74879944825436,
        4.748818044950699,
        4.748837118485407,
        4.748856192020114,
        4.748875265554822,
        4.748893862251162,
        4.748912935785869,
        4.748932009320576,
        4.7489510828552834,
        4.748969679551624,
        4.748988753086331,
        4.749007826621038,
        4.749026900155745,
        4.749045496852085,
        4.749064570386793,
        4.7490836439215,
        4.74910224061784,
        4.749121314152547,
        4.749140387687254,
        4.7491594612219625,
        4.749178057918302,
        4.749197131453009,
        4.749216204987717,
        4.749234801684056,
        4.749253875218764,
        4.749272948753472,
        4.749291545449811,
        4.749310618984518,
        4.749329692519225,
        4.749348289215566,
        4.749367362750273,
        4.74938643628498,
        4.74940503298132,
        4.749424106516027,
        4.749443180050735,
        4.749461776747075,
        4.749480850281782,
        4.749499923816489,
        4.749518520512829,
        4.749537594047537,
        4.749556667582244,
        4.749575264278584,
        4.749594337813291,
        4.749613411347998,
        4.749632008044339,
        4.749651081579046,
        4.749669678275385,
        4.749688751810093,
        4.7497078253448,
        4.74972642204114,
        4.749745495575848,
        4.749764092272187,
        4.749783165806894,
        4.749802239341602,
        4.749820836037942,
        4.749839909572649,
        4.749858506268989,
        4.749877579803696,
        4.7498966533384035,
        4.749915250034744,
        4.749934323569451,
        4.74995292026579,
        4.749971993800498,
        4.749990590496838,
        4.750009664031545,
        4.750028260727885,
        4.750047334262592,
        4.750066407797299,
        4.75008500449364,
        4.750104078028347,
        4.750122674724687,
        4.750141748259394,
        4.7501603449557335,
        4.750179418490442,
        4.750198015186781,
        4.750217088721488,
        4.750235685417828,
        4.7502547589525355,
        4.750273355648875,
        4.750292429183583,
        4.750311025879922,
        4.750330099414629,
        4.7503486961109695,
        4.750367769645677,
        4.750386366342017,
        4.750405439876724,
        4.7504240365730634,
        4.7504431101077715,
        4.750461706804111,
        4.750480780338818,
        4.750499377035158,
        4.750518450569865,
        4.750537047266205,
        4.750556120800913,
        4.750574717497252,
        4.750593791031959,
        4.7506123877282995,
        4.750631461263007,
        4.750650057959347,
        4.750668654655686,
        4.750687728190393,
        4.750706324886734,
        4.750725398421441,
        4.750743995117781,
        4.750763068652488,
        4.7507816653488275,
        4.750800738883536,
        4.750819335579875,
        4.750837932276214,
        4.750857005810922,
        4.750875602507262,
        4.750894676041969,
        4.750913272738309,
        4.750931869434648,
        4.750950942969356,
        4.750969539665696,
        4.750988613200403,
        4.751007209896743,
        4.751025806593082,
        4.7510448801277905,
        4.75106347682413,
        4.751082550358837,
        4.751101147055177,
        4.7511197437515165,
        4.751138817286224,
        4.751157413982564,
        4.751176010678903,
        4.751195084213611,
        4.7512136809099506,
        4.751232277606291,
        4.751251351140998,
        4.751269947837337,
        4.751288544533677,
        4.751307618068385,
        4.751326214764725,
        4.751344811461064,
        4.751363884995771,
        4.7513824816921115,
        4.751401078388451,
        4.751420151923158,
        4.751438748619498,
        4.7514573453158375,
        4.751476418850546,
        4.751495015546885,
        4.751513612243225,
        4.751532685777932,
        4.751551282474272,
        4.751569879170612,
        4.751588952705319,
        4.751607549401659,
        4.7516261460979985,
        4.751644742794339,
        4.751663816329046,
        4.751682413025385,
        4.751701009721725,
        4.751720083256433,
        4.751738679952772,
        4.751757276649112,
        4.751775873345451,
        4.7517949468801595,
        4.751813543576499,
        4.751832140272839,
        4.751850736969178,
        4.7518698105038855,
        4.751888407200226,
        4.751907003896565,
        4.751925600592905,
        4.751944674127612,
        4.751963270823952,
        4.751981867520292,
        4.752000464216631,
        4.752019060912971,
        4.7520381344476785,
        4.752056731144019,
        4.752075327840358,
        4.752093924536698,
        4.7521125212330375,
        4.752131594767745,
        4.752150191464085,
        4.752168788160424,
        4.752187384856764,
        4.752205981553104,
        4.752225055087811,
        4.752243651784151,
        4.75226224848049,
        4.752280845176831,
        4.75229944187317,
        4.752318515407878,
        4.752337112104217,
        4.7523557088005575,
        4.752374305496897,
        4.752392902193237,
        4.752411498889576,
        4.7524300955859164,
        4.752449169120624,
        4.752467765816963,
        4.752486362513303,
        4.752504959209642,
        4.752523555905983,
        4.752542152602322,
        4.752560749298662,
        4.752579822833369,
        4.752598419529709,
        4.752617016226049,
        4.752635612922388,
        4.752654209618728,
        4.752672806315068,
        4.752691403011408,
        4.752709999707747,
        4.752728596404087,
        4.7527476699387945,
        4.752766266635134,
        4.752784863331474,
        4.752803460027813,
        4.7528220567241535,
        4.752840653420493,
        4.752859250116833,
        4.752877846813172,
        4.7528964435095125,
        4.752915040205852,
        4.752933636902192,
        4.752952233598531,
        4.752971307133239,
        4.752989903829579,
        4.753008500525918,
        4.753027097222258,
        4.753045693918597,
        4.753064290614938,
        4.753082887311277,
        4.753101484007617,
        4.753120080703956,
        4.753138677400297,
        4.753157274096636,
        4.753175870792976,
        4.753194467489315,
        4.753213064185656,
        4.753231660881995,
        4.753250257578335,
        4.753268854274674,
        4.753287450971015,
        4.753306047667354,
        4.753324644363694,
        4.753343241060033,
        4.7533618377563736,
        4.753380434452713,
        4.753399031149053,
        4.753417627845392,
        4.7534362245417325,
        4.753454821238072,
        4.753473417934412,
        4.753492014630751,
        4.753510611327091,
        4.753529208023431,
        4.75354780471977,
        4.75356640141611,
        4.75358499811245,
        4.75360359480879,
        4.753622191505129,
        4.753640788201469,
        4.753659384897809,
        4.753677981594149,
        4.753696578290488,
        4.75371469814846,
        4.753733294844801,
        4.75375189154114,
        4.753770488237479,
        4.753789084933819,
        4.753807681630159,
        4.753826278326499,
        4.753844875022838,
        4.753863471719178,
        4.753882068415518,
        4.753900665111858,
        4.753919261808197,
        4.753937381666169,
        4.75395597836251,
        4.753974575058849,
        4.753993171755188,
        4.754011768451528,
        4.754030365147868,
        4.754048961844208,
        4.754067558540547,
        4.754086155236887,
        4.75410427509486,
        4.754122871791199,
        4.754141468487539,
        4.7541600651838785,
        4.754178661880219,
        4.754197258576558,
        4.754215855272898,
        4.7542339751308695,
        4.75425257182721,
        4.754271168523549,
        4.754289765219889,
        4.7543083619162285,
        4.754326958612569,
        4.75434507847054,
        4.75436367516688,
        4.75438227186322,
        4.75440086855956,
        4.754419465255899,
        4.754623075238901,
        4.754641195096873,
        4.7546597917932125,
        4.754678388489553,
        4.754696985185892,
        4.754715105043864,
        4.754733701740204,
        4.754752298436544,
        4.754770895132883,
        4.754789491829223,
        4.754807611687196,
        4.754826208383535,
        4.754844805079875,
        4.754863401776214,
        4.754881521634187,
        4.754900118330526,
        4.754918715026866,
        4.7549368348848375,
        4.754955431581178,
        4.754974028277517,
        4.754992624973857,
        4.7550107448318295,
        4.755029341528169,
        4.755047938224509,
        4.755066534920848,
        4.755084654778821,
        4.75510325147516,
        4.7551218481715,
        4.755139968029472,
        4.755158564725812,
        4.755177161422151,
        4.755195281280123,
        4.755213877976463,
        4.755232474672803,
        4.755250594530775,
        4.755269191227114,
        4.7552877879234545,
        4.755306384619794,
        4.755324504477766,
        4.755343101174106,
        4.755361697870446,
        4.755379817728418,
        4.755398414424757,
        4.7554165342827295,
        4.755435130979069,
        4.755453727675409,
        4.755471847533381,
        4.755490444229721,
        4.755509040926061,
        4.755527160784032,
        4.755545757480372,
        4.755564354176712,
        4.755582474034684,
        4.755601070731023,
        4.7556191905889955,
        4.755637787285336,
        4.755656383981675,
        4.755674503839647,
        4.755693100535987,
        4.755711697232327,
        4.755729817090299,
        4.755748413786638,
        4.755766533644611,
        4.75578513034095,
        4.755803250198922,
        4.7558218468952616,
        4.755840443591602,
        4.755858563449574,
        4.755877160145913,
        4.755895280003886,
        4.755913876700225,
        4.755932473396565,
        4.755950593254537,
        4.755969189950877,
        4.755987309808849,
        4.756005906505188,
        4.756024026363161,
        4.7560426230595,
        4.756060742917472,
        4.756079339613812,
        4.756097936310152,
        4.756116056168124,
        4.756134652864463,
        4.7561527727224355,
        4.756171369418776,
        4.756189489276747,
        4.756208085973087,
        4.75622620583106,
        4.756244802527399,
        4.756262922385371,
        4.7562815190817105,
        4.756299638939683,
        4.756318235636022,
        4.756336355493994,
        4.7563549521903346,
        4.756373072048306,
        4.756391668744646,
        4.756409788602618,
        4.756428385298958,
        4.75644650515693,
        4.756465101853269,
        4.756483221711242,
        4.756501818407581,
        4.756519938265553,
        4.756538534961893,
        4.756556654819865,
        4.756574774677837,
        4.756593371374177,
        4.756611491232149,
        4.756630087928489,
        4.756648207786461,
        4.7566668044828,
        4.756684924340773,
        4.756703521037112,
        4.756721640895084,
        4.756740237591424,
        4.756758357449396,
        4.756776477307368,
        4.7567950740037075,
        4.75681319386168,
        4.75683179055802,
        4.756849910415991,
        4.756868030273964,
        4.756886626970303,
        4.756904746828275,
        4.756923343524615,
        4.756941463382587,
        4.756959583240559,
        4.756978179936899,
        4.756996299794871,
        4.757014896491211,
        4.757033016349183,
        4.757051136207155,
        4.757069732903495,
        4.757087852761466,
        4.757106449457806,
        4.757124569315779,
        4.75714268917375,
        4.75716128587009,
        4.7571794057280625,
        4.757197525586034,
        4.757216122282374,
        4.757234242140346,
        4.757252361998318,
        4.757270958694658,
        4.757289078552629,
        4.757307198410602,
        4.757325795106942,
        4.757343914964913,
        4.7573620348228856,
        4.757380631519226,
        4.757398751377197,
        4.757416871235169,
        4.75743546793151,
        4.757453587789481,
        4.757471707647453,
        4.757490304343793,
        4.757508424201765,
        4.757526544059737,
        4.7575451407560765,
        4.757563260614049,
        4.757581380472021,
        4.757599500329993,
        4.757618097026333,
        4.757636216884305,
        4.757654336742277,
        4.7576729334386165,
        4.757691053296589,
        4.75770917315456,
        4.7577272930125325,
        4.757745889708873,
        4.757764009566844,
        4.757782129424816,
        4.757800249282789,
        4.757818845979128,
        4.7578369658371,
        4.7578550856950725,
        4.757873205553045,
        4.757891802249384,
        4.757909922107356,
        4.757928041965328,
        4.7579461618233,
        4.75796475851964,
        4.757982878377612,
        4.758000998235584,
        4.758019118093556,
        4.758037714789896,
        4.758055834647868,
        4.75807395450584,
        4.7580920743638115,
        4.758110194221784,
        4.758128790918124,
        4.758146910776095,
        4.758165030634068,
        4.75818315049204,
        4.758201270350012,
        4.758219867046352,
        4.758237986904324,
        4.758256106762296,
        4.7582742266202676,
        4.75829234647824,
        4.758310943174579,
        4.758329063032551,
        4.758347182890524,
        4.758365302748496,
        4.758383422606467,
        4.75840154246444,
        4.758419662322412,
        4.758438259018751,
        4.758456378876724,
        4.758474498734696,
        4.758492618592667,
        4.7585107384506395,
        4.758528858308612,
        4.758547455004951,
        4.758565574862923,
        4.758583694720896,
        4.758601814578868,
        4.758619934436839,
        4.758638054294812,
        4.758656174152784,
        4.758674294010755,
        4.758692413868728,
        4.758711010565068,
        4.758729130423039,
        4.7587472502810115,
        4.758765370138984,
        4.758783489996956,
        4.7588016098549275,
        4.7588197297129,
        4.758837849570872,
        4.7588559694288435,
        4.758874089286816,
        4.758892685983156,
        4.758910805841127,
        4.7589289256991,
        4.758947045557072,
        4.758965165415044,
        4.758983285273016,
        4.759001405130988,
        4.75901952498896,
        4.759037644846932,
        4.759055764704904,
        4.759073884562876,
        4.7590920044208485,
        4.75911012427882,
        4.759128244136792,
        4.759146363994764,
        4.759164483852737,
        4.759182603710708,
        4.75920072356868,
        4.759218843426653,
        4.759236963284624,
        4.759255083142596,
        4.759273203000569,
        4.759291322858541,
        4.759309442716512,
        4.759327562574485,
        4.759345682432457,
        4.759363802290429,
        4.759381922148401,
        4.759400042006373,
        4.759418161864345,
        4.759436281722317,
        4.759454401580289,
        4.759472521438261,
        4.7594906412962334,
        4.759508761154205,
        4.759526881012177,
        4.759545000870149,
        4.759563120728122,
        4.759581240586093,
        4.759599360444065,
        4.759617480302038,
        4.759635600160009,
        4.759653720017981,
        4.759671839875954,
        4.759689959733926,
        4.759708079591897,
        4.75972619944987,
        4.759744319307842,
        4.759762439165814,
        4.759780559023786,
        4.759798678881758,
        4.75981679873973,
        4.759834441759335,
        4.759852561617306,
        4.759870681475278,
        4.7598888013332505,
        4.759906921191223,
        4.759925041049194,
        4.7599431609071665,
        4.759961280765139,
        4.75997940062311,
        4.7599975204810825,
        4.760015640339055,
        4.760033283358659,
        4.7600514032166314,
        4.760069523074603,
        4.760087642932575,
        4.760105762790547,
        4.76012388264852,
        4.760142002506491,
        4.760160122364463,
        4.760177765384068,
        4.76019588524204,
        4.7602140051000115,
        4.760232124957984,
        4.760250244815956,
        4.760268364673928,
        4.7602864845319,
        4.760304127551504,
        4.760322247409476,
        4.760340367267449,
        4.76035848712542,
        4.760376606983392,
        4.760394726841365,
        4.760412369860969,
        4.760430489718941,
        4.760448609576913,
        4.760466729434885,
        4.760484849292857,
        4.760502969150829,
        4.760520612170433,
        4.760538732028405,
        4.760556851886378,
        4.76057497174435,
        4.760593091602321,
        4.760610734621926,
        4.760628854479898,
        4.76064697433787,
        4.760665094195842,
        4.760683214053814,
        4.760700857073418,
        4.760718976931391,
        4.760737096789363,
        4.761078989898993,
        4.761097109756965,
        4.761114752776569,
        4.761132872634541,
        4.761150992492514,
        4.7611867553700895,
        4.761204875228062,
        4.761222995086034,
        4.7612406381056385,
        4.761258757963611,
        4.761276877821582,
        4.7612945208411865,
        4.761312640699159,
        4.761330760557131,
        4.7613484035767355,
        4.761366523434707,
        4.761384643292679,
        4.761402286312284,
        4.761420406170256,
        4.761438526028228,
        4.7614561690478325,
        4.761474288905804,
        4.761492408763776,
        4.761510051783381,
        4.761528171641353,
        4.761546291499324,
        4.761563934518929,
        4.761582054376901,
        4.761600174234873,
        4.761617817254478,
        4.76163593711245,
        4.761653580132054,
        4.761671699990026,
        4.761689819847998,
        4.761707462867602,
        4.761725582725575,
        4.761743702583546,
        4.7617613456031505,
        4.761779465461123,
        4.761797108480727,
        4.761815228338699,
        4.761833348196672,
        4.761850991216275,
        4.7618691110742475,
        4.761886754093852,
        4.761904873951824,
        4.7619229938097964,
        4.761940636829401,
        4.761958756687372,
        4.761976399706977,
        4.761994519564949,
        4.762012162584553,
        4.762030282442526,
        4.762048402300497,
        4.762066045320101,
        4.762084165178074,
        4.762101808197678,
        4.76211992805565,
        4.762137571075255,
        4.762155690933227,
        4.7621733339528305,
        4.762191453810803,
        4.762209096830407,
        4.7622272166883794,
        4.762244859707984,
        4.762262979565956,
        4.7622810994239275,
        4.762298742443532,
        4.762316862301504,
        4.762334505321109,
        4.762352625179081,
        4.762370268198685,
        4.762388388056657,
        4.762406031076261,
        4.762424150934233,
        4.762441793953838,
        4.76245991381181,
        4.762477556831414,
        4.762495676689387,
        4.76251331970899,
        4.7625314395669625,
        4.762549082586567,
        4.762566725606171,
        4.7625848454641435,
        4.762602488483748,
        4.764653608722346,
        4.766883066510459,
        4.766904524237005,
        4.766925505125183,
        4.766946962851729,
        4.766967943739907,
        4.766989401466453,
        4.7670108591929985,
        4.767031840081177,
        4.767053297807723,
        4.767074278695901,
        4.767095736422447,
        4.767116717310625,
        4.767138175037171,
        4.7671591559253494,
        4.767180613651895,
        4.767201594540073,
        4.767223052266619,
        4.767244509993165,
        4.767265490881343,
        4.767286948607889,
        4.7673079294960665,
        4.767329387222612,
        4.767350368110791,
        4.767371825837337,
        4.767392806725515,
        4.767414264452061,
        4.767435245340239,
        4.7674567030667845,
        4.767477683954962,
        4.767499141681509,
        4.767520122569687,
        4.767541103457865,
        4.767562561184411,
        4.767583542072589,
        4.7676049997991345,
        4.767625980687313,
        4.767647438413859,
        4.767668419302037,
        4.767689877028583,
        4.767710857916761,
        4.767732315643307,
        4.768049889996186,
        4.7680708708843635,
        4.7680918517725415,
        4.768113309499087,
        4.768134290387265,
        4.768155748113811,
        4.76817672900199,
        4.768197709890168,
        4.768219167616714,
        4.7682401485048915,
        4.7682611293930695,
        4.768282587119615,
        4.768303568007794,
        4.768324548895972,
        4.768346006622518,
        4.768366987510696,
        4.768387968398875,
        4.76840942612542,
        4.768430407013598,
        4.768451387901776,
        4.768472845628322,
        4.7684938265165,
        4.768514807404679,
        4.768535788292857,
        4.768557246019403,
        4.7685782269075805,
        4.768599207795758,
        4.768620665522304,
        4.768641646410483,
        4.768662627298661,
        4.768683608186839,
        4.768705065913385,
        4.7687260468015635,
        4.7687470276897415,
        4.768768008577919,
        4.768789466304465,
        4.768810447192643,
        4.768831428080822,
        4.768852408969,
        4.768873866695546,
        4.768894847583724,
        4.7689158284719015,
        4.76893680936008,
        4.768958267086626,
        4.768979247974804,
        4.769000228862982,
        4.76902120975116,
        4.769042667477706,
        4.769063648365885,
        4.7690846292540625,
        4.76910561014224,
        4.769126591030418,
        4.769147571918597,
        4.769169029645143,
        4.769190010533321,
        4.769210991421499,
        4.769231972309678,
        4.769252953197856,
        4.769274410924401,
        4.769295391812579,
        4.769316372700757,
        4.769337353588936,
        4.769358334477114,
        4.769379315365292,
        4.76940029625347,
        4.769421753980016,
        4.7694427348681945,
        4.769463715756372,
        4.76948469664455,
        4.769505677532728,
        4.769526658420907,
        4.769547639309085,
        4.769569097035631,
        4.769590077923809,
        4.7696110588119875,
        4.7696320397001655,
        4.769653020588343,
        4.769674001476521,
        4.7696949823647,
        4.769715963252878,
        4.769736944141056,
        4.769757925029234,
        4.76977938275578,
        4.7698003636439585,
        4.7698213445321365,
        4.769842325420314,
        4.769863306308492,
        4.769884287196671,
        4.769905268084849,
        4.769926248973027,
        4.769947229861205,
        4.769968210749384,
        4.769989191637562,
        4.7700101725257396,
        4.7700311534139175,
        4.770052134302096,
        4.770073115190274,
        4.770094096078452,
        4.770115076966631,
        4.770136057854809,
        4.770157038742987,
        4.770178019631165,
        4.7701990005193435,
        4.7702199814075215,
        4.770240962295699,
        4.770261943183877,
        4.770282924072056,
        4.770303904960234,
        4.770324885848412,
        4.77034586673659,
        4.770366847624769,
        4.770387828512947,
        4.7704088094011246,
        4.7704297902893025,
        4.770450771177481,
        4.770471752065659,
        4.770492732953837,
        4.770513713842016,
        4.770534694730194,
        4.770555675618372,
        4.77057665650655,
        4.7705976373947285,
        4.7706186182829065,
        4.770639599171084,
        4.770660580059262,
        4.770681560947441,
        4.770702064997251,
        4.770723045885429,
        4.770744026773608,
        4.770765007661786,
        4.770785988549964,
        4.770806969438142,
        4.7708279503263205,
        4.770848931214498,
        4.770869912102676,
        4.770890892990854,
        4.770911397040665,
        4.770932377928843,
        4.770953358817021,
        4.7709743397052,
        4.770995320593378,
        4.771016301481556,
        4.7710372823697345,
        4.7710577864195445,
        4.771078767307722,
        4.771099748195901,
        4.771120729084079,
        4.771141709972257,
        4.771162690860435,
        4.771183671748614,
        4.771204175798424,
        4.771225156686602,
        4.7712461375747806,
        4.7712671184629585,
        4.771288099351136,
        4.771308603400947,
        4.771329584289125,
        4.771350565177303,
        4.771371546065481,
        4.77139252695366,
        4.771413507841838,
        4.771434011891648,
        4.771454992779827,
        4.771475973668005,
        4.7714969545561825,
        4.771517458605993,
        4.771538439494171,
        4.771559420382349,
        4.771580401270528,
        4.771601382158706,
        4.771621886208516,
        4.771642867096695,
        4.771663847984873,
        4.771684828873051,
        4.771705332922862,
        4.7717263138110395,
        4.771747294699217,
        4.771767798749028,
        4.771788779637206,
        4.771809760525384,
        4.771830741413562,
        4.771851245463373,
        4.771872226351551,
        4.771893207239729,
        4.771914188127908,
        4.771934692177718,
        4.771955673065896,
        4.771976653954074,
        4.7719971580038845,
        4.772018138892062,
        4.772039119780241,
        4.772059623830051,
        4.772080604718229,
        4.772101585606408,
        4.772122089656218,
        4.772143070544397,
        4.772164051432575,
        4.772184555482385,
        4.7722055363705636,
        4.7722265172587415,
        4.7722470213085515,
        4.77226800219673,
        4.772288983084908,
        4.772309487134718,
        4.772330468022897,
        4.772351448911075,
        4.772371952960885,
        4.772392933849064,
        4.772413437898874,
        4.772434418787052,
        4.772455399675231,
        4.772475903725041,
        4.7724968846132185,
        4.772517388663029,
        4.772538369551207,
        4.772559350439385,
        4.772579854489196,
        4.772600835377374,
        4.772621339427185,
        4.772642320315363,
        4.772663301203541,
        4.772683805253352,
        4.77270478614153,
        4.772725290191341,
        4.7727462710795185,
        4.772766775129329,
        4.772787756017507,
        4.772808736905685,
        4.772829240955495,
        4.772850221843674,
        4.772870725893484,
        4.772891706781662,
        4.772912210831473,
        4.772933191719651,
        4.772953695769462,
        4.77297467665764,
        4.77299518070745,
        4.773016161595629,
        4.773036665645439,
        4.7730576465336165,
        4.773078150583427,
        4.773099131471605,
        4.773119635521416,
        4.773140616409594,
        4.773161120459404,
        4.773182101347583,
        4.773202605397393,
        4.773223586285571,
        4.773244090335382,
        4.77326507122356,
        4.773285575273371,
        4.773306556161549,
        4.773327060211359,
        4.7733480410995375,
        4.7733685451493475,
        4.773389526037526,
        4.773410030087336,
        4.773430534137147,
        4.773451515025325,
        4.773472019075135,
        4.773492999963314,
        4.7736584628769005,
        4.773678966926711,
        4.773699947814889,
        4.773720451864699,
        4.773741432752877,
        4.773761936802688,
        4.773782440852498,
        4.773803421740677,
        4.773823925790487,
        4.773844906678665,
        4.773865410728476,
        4.773885914778286,
        4.773906895666465,
        4.773927399716275,
        4.773947903766086,
        4.773968884654264,
        4.773989388704074,
        4.7740098927538845,
        4.7740308736420625,
        4.774051377691873,
        4.774071881741683,
        4.774092862629862,
        4.774113366679672,
        4.774133870729483,
        4.774154851617661,
        4.774175355667471,
        4.774195859717282,
        4.77421684060546,
        4.774237344655271,
        4.774257848705081,
        4.774278829593259,
        4.77429933364307,
        4.77431983769288,
        4.774340341742691,
        4.7743613226308685,
        4.7743818266806795,
        4.7744023307304895,
        4.7744228347803,
        4.774443815668478,
        4.774464319718288,
        4.774484823768099,
        4.774505804656277,
        4.774526308706088,
        4.774546812755898,
        4.774567316805709,
        4.774588297693887,
        4.774608801743697,
        4.774629305793508,
        4.774649809843318,
        4.774670313893129,
        4.774691294781307,
        4.774711798831118,
        4.774732302880928,
        4.774752806930739,
        4.7747737878189165,
        4.774794291868727,
        4.774814795918537,
        4.774835299968348,
        4.774855804018158,
        4.774876784906336,
        4.774897288956147,
        4.774917793005957,
        4.774938297055768,
        4.774958801105578,
        4.774979305155389,
        4.775000286043567,
        4.775020790093378,
        4.775041294143188,
        4.775061798192999,
        4.775082302242809,
        4.77510280629262,
        4.775123787180798,
        4.775144291230608,
        4.775164795280419,
        4.775185299330229,
        4.7752058033800395,
        4.7752263074298495,
        4.7752468114796605,
        4.775267792367838,
        4.775288296417649,
        4.775308800467459,
        4.77532930451727,
        4.77534980856708,
        4.775370312616891,
        4.775390816666701,
        4.775411320716512,
        4.775431824766322,
        4.7754528056545,
        4.775473309704311,
        4.775493813754121,
        4.775514317803932,
        4.775534821853742,
        4.775555325903553,
        4.775575829953363,
        4.775596334003174,
        4.775616838052984,
        4.775637342102795,
        4.775657846152605,
        4.775678350202416,
        4.7756988542522265,
        4.7757193583020365,
        4.775739862351847,
        4.7757603664016575,
        4.775781347289835,
        4.775801851339646,
        4.775822355389456,
        4.775842859439267,
        4.775863363489077,
        4.775883867538888,
        4.775904371588698,
        4.775924875638509,
        4.775945379688319,
        4.77596588373813,
        4.77598638778794,
        4.776006891837751,
        4.776027395887561,
        4.776047899937372,
        4.776068403987182,
        4.776088908036993,
        4.776109412086803,
        4.776129916136614,
        4.776150420186424,
        4.776170924236235,
        4.776190951447678,
        4.776211455497488,
        4.776231959547299,
        4.776252463597109,
        4.7762729676469196,
        4.77629347169673,
        4.7763139757465405,
        4.7763344797963505,
        4.776354983846161,
        4.776375487895971,
        4.776395991945782,
        4.776416495995592,
        4.776437000045403,
        4.776457504095213,
        4.776478008145024,
        4.776498512194834,
        4.776518539406277,
        4.776539043456087,
        4.776559547505898,
        4.776580051555708,
        4.776600555605519,
        4.776621059655329,
        4.77664156370514,
        4.77666206775495,
        4.776682571804761,
        4.776723103066014,
        4.777070718236057,
        4.7770907454475,
        4.7771112494973105,
        4.7771317535471205,
        4.777152257596931,
        4.777172761646741,
        4.777192788858184,
        4.7772132929079945,
        4.777233796957805,
        4.777254301007615,
        4.777274805057426,
        4.777294832268869,
        4.777315336318679,
        4.77733584036849,
        4.7773563444183,
        4.777376371629743,
        4.777396875679553,
        4.777417379729364,
        4.777437883779174,
        4.777457910990617,
        4.777478415040428,
        4.777498919090238,
        4.777519423140049,
        4.777539450351491,
        4.777559954401302,
        4.777580458451112,
        4.777600485662555,
        4.777620989712366,
        4.777641493762176,
        4.777661997811987,
        4.777682025023429,
        4.77770252907324,
        4.77772303312305,
        4.777743060334493,
        4.777763564384304,
        4.777784068434114,
        4.777804095645557,
        4.777824599695367,
        4.777845103745178,
        4.777865607794988,
        4.777885635006431,
        4.777906139056242,
        4.777926643106052,
        4.777946670317495,
        4.777967174367305,
        4.777987201578748,
        4.778007705628559,
        4.778028209678369,
        4.778048236889812,
        4.778068740939622,
        4.778089244989433,
        4.778109272200876,
        4.778129776250686,
        4.778150280300497,
        4.778170307511939,
        4.77819081156175,
        4.778210838773193,
        4.778231342823003,
        4.778251846872814,
        4.778271874084257,
        4.778292378134067,
        4.77831240534551,
        4.77833290939532,
        4.778353413445131,
        4.778373440656574,
        4.778393944706384,
        4.778413971917827,
        4.778434475967637,
        4.778454980017448,
        4.778475007228891,
        4.778495511278701,
        4.778515538490144,
        4.778536042539954,
        4.778556069751397,
        4.778576573801208,
        4.77859660101265,
        4.778617105062461,
        4.778637609112271,
        4.778657636323714,
        4.778678140373525,
        4.778698167584967,
        4.778718671634778,
        4.778738698846221,
        4.778759202896031,
        4.778779230107474,
        4.778799734157284,
        4.778819761368727,
        4.778840265418538,
        4.77886029262998,
        4.778880796679791,
        4.778900823891234,
        4.778921327941044,
        4.778941355152487,
        4.778961859202297,
        4.77898188641374,
        4.779002390463551,
        4.779022417674993,
        4.779042921724804,
        4.779062948936247,
        4.779083452986057,
        4.7791034801975,
        4.779123507408943,
        4.779144011458753,
        4.779164038670196,
        4.779184542720006,
        4.779204569931449,
        4.77922507398126,
        4.779245101192702,
        4.779265605242513,
        4.779285632453956,
        4.779305659665398,
        4.779326163715209,
        4.779346190926652,
        4.779366694976462,
        4.779386722187905,
        4.779407226237715,
        4.779427253449158,
        4.779447280660601,
        4.779467784710411,
        4.779487811921854,
        4.779507839133297,
        4.779528343183107,
        4.77954837039455,
        4.779568874444361,
        4.779588901655803,
        4.779608928867246,
        4.779629432917057,
        4.779649460128499,
        4.779669487339942,
        4.779689991389753,
        4.779710018601195,
        4.779730522651006,
        4.779750549862449,
        4.779770577073891,
        4.779791081123702,
        4.779811108335145,
        4.779831135546587,
        4.779851639596398,
        4.779871666807841,
        4.779891694019283,
        4.779912198069094,
        4.779932225280537,
        4.779952252491979,
        4.77997275654179,
        4.779992783753233,
        4.780012810964675,
        4.780032838176118,
        4.780053342225929,
        4.780073369437371,
        4.780093396648814,
        4.780113900698625,
        4.780133927910067,
        4.78015395512151,
        4.780173982332953,
        4.780194486382763,
        4.780214513594206,
        4.780234540805649,
        4.780254568017092,
        4.780275072066902,
        4.780295099278345,
        4.780315126489788,
        4.780335630539598,
        4.780355657751041,
        4.780375684962484,
        4.7803957121739264,
        4.7804157393853695,
        4.78043624343518,
        4.7804562706466225,
        4.7804762978580655,
        4.7804963250695085,
        4.7805168291193185,
        4.7805368563307615,
        4.7805568835422045,
        4.7805769107536475,
        4.78059693796509,
        4.780617442014901,
        4.780637469226344,
        4.780657496437786,
        4.780677523649229,
        4.780697550860672,
        4.780718054910482,
        4.780738082121925,
        4.780758109333368,
        4.780778136544811,
        4.780798163756253,
        4.780818190967696,
        4.780838695017507,
        4.780858722228949,
        4.780878749440392,
        4.780898776651835,
        4.780918803863278,
        4.78093883107472,
        4.780958858286163,
        4.780979362335974,
        4.780999389547416,
        4.781019416758859,
        4.781039443970302,
        4.781059471181745,
        4.781079498393187,
        4.78109952560463,
        4.781119552816073,
        4.781140056865883,
        4.781160084077326,
        4.781180111288769,
        4.781200138500212,
        4.781220165711654,
        4.781240192923097,
        4.78126022013454,
        4.7812802473459834,
        4.781300274557426,
        4.781320301768869,
        4.781340328980312,
        4.781360833030122,
        4.781380860241565,
        4.781400887453008,
        4.781420914664451,
        4.781440941875893,
        4.781460969087336,
        4.781480996298779,
        4.781501023510222,
        4.781521050721664,
        4.781541077933107,
        4.78156110514455,
        4.781581132355993,
        4.781601159567435,
        4.781621186778878,
        4.781641213990321,
        4.781661241201764,
        4.781681268413206,
        4.781701295624649,
        4.781721322836092,
        4.781741350047535,
        4.781761377258977,
        4.78178140447042,
        4.781801431681863,
        4.781821458893306,
        4.7818414861047485,
        4.7818615133161915,
        4.7818815405276345,
        4.7819015677390775,
        4.78192159495052,
        4.781941622161963,
        4.781961649373406,
        4.781981676584849,
        4.782001703796291,
        4.782021731007734,
        4.782041758219177,
        4.78206178543062,
        4.782081812642062,
        4.782101839853505,
        4.782121867064948,
        4.782141894276391,
        4.782161921487833,
        4.782181948699276,
        4.782201499072351,
        4.782221526283794,
        4.782241553495237,
        4.782261580706679,
        4.782281607918122,
        4.782301635129565,
        4.782321662341008,
        4.78234168955245,
        4.782361716763893,
        4.782381743975336,
        4.7824017711867794,
        4.7824213215598546,
        4.782441348771297,
        4.78246137598274,
        4.782481403194183,
        4.782501430405626,
        4.782521457617068,
        4.782541484828511,
        4.782561512039954,
        4.782581062413029,
        4.782601089624472,
        4.782621116835914,
        4.782641144047357,
        4.7826611712588,
        4.782681198470243,
        4.782700748843318,
        4.78272077605476,
        4.782740803266203,
        4.782760830477646,
        4.782780857689089,
        4.7828008849005315,
        4.782820435273607,
        4.78284046248505,
        4.782860489696493,
        4.782880516907936,
        4.782900544119378,
        4.782920571330821,
        4.782940121703896,
        4.782960148915339,
        4.782980176126782,
        4.783000203338224,
        4.783019753711299,
        4.783039780922742,
        4.783059808134185,
        4.783079835345628,
        4.78309986255707,
        4.783119412930145,
        4.783139440141588,
        4.783159467353031,
        4.783179494564474,
        4.783199044937549,
        4.783219072148992,
        4.783239099360435,
        4.783398363375242,
        4.783417913748317,
        4.783437940959759,
        4.783457968171202,
        4.783477995382645,
        4.78349754575572,
        4.783517572967163,
        4.783537600178605,
        4.7835571505516805,
        4.7835771777631235,
        4.7835972049745665,
        4.783616755347642,
        4.783636782559084,
        4.783656809770527,
        4.783676360143602,
        4.783696387355045,
        4.783716414566488,
        4.783735964939563,
        4.783755992151005,
        4.783776019362448,
        4.783795569735523,
        4.783815596946966,
        4.783835624158409,
        4.783855174531484,
        4.7838752017429265,
        4.7838952289543695,
        4.783914779327445,
        4.783934806538888,
        4.783954833750331,
        4.783974384123406,
        4.78492519982857,
        4.78549788270816,
        4.785517433081235,
        4.785537460292678,
        4.7855570106657535,
        4.785576561038829,
        4.785596588250271,
        4.785616138623346,
        4.785635688996421,
        4.785655716207864,
        4.785675266580939,
        4.785694816954014,
        4.785714844165457,
        4.785734394538532,
        4.785753944911607,
        4.78577397212305,
        4.785793522496125,
        4.7858130728692005,
        4.785833100080643,
        4.785852650453718,
        4.785872200826793,
        4.785891751199868,
        4.785911778411311,
        4.785931328784386,
        4.785950879157461,
        4.785970906368904,
        4.785990456741979,
        4.786010007115054,
        4.7860295574881295,
        4.7860495846995725,
        4.786069135072648,
        4.786088685445723,
        4.786108235818797,
        4.78612826303024,
        4.786147813403315,
        4.78616736377639,
        4.786186914149465,
        4.786206941360908,
        4.786226491733983,
        4.7862460421070585,
        4.786265592480134,
        4.786285619691577,
        4.786305170064652,
        4.786324720437727,
        4.786344270810802,
        4.786363821183877,
        4.786383848395319,
        4.786403398768394,
        4.786422949141469,
        4.7864424995145445,
        4.78646204988762,
        4.786482077099063,
        4.786501627472138,
        4.786521177845213,
        4.786540728218288,
        4.786560278591363,
        4.786580305802806,
        4.786599856175881,
        4.786619406548956,
        4.786638956922031,
        4.7866585072951064,
        4.7866780576681816,
        4.786698084879625,
        4.7867176352527,
        4.786737185625775,
        4.78675673599885,
        4.786776286371925,
        4.786795836745,
        4.786815387118075,
        4.786835414329517,
        4.786854964702592,
        4.7868745150756675,
        4.786894065448743,
        4.786913615821818,
        4.786933166194893,
        4.786952716567968,
        4.786972266941043,
        4.786992294152486,
        4.787011844525561,
        4.787031394898636,
        4.787050945271711,
        4.7870704956447865,
        4.787090046017862,
        4.787109596390937,
        4.787129146764012,
        4.787148697137087,
        4.787168247510162,
        4.787187797883237,
        4.787207348256312,
        4.787227375467755,
        4.78724692584083,
        4.787266476213905,
        4.7872860265869805,
        4.787305576960056,
        4.787325127333131,
        4.787344677706206,
        4.787364228079281,
        4.787383778452356,
        4.787403328825431,
        4.787422879198506,
        4.787442429571581,
        4.7874619799446565,
        4.787481530317732,
        4.787501080690807,
        4.787520631063882,
        4.787540181436957,
        4.787559731810032,
        4.787579282183107,
        4.787598832556182,
        4.787618382929257,
        4.7876379333023324,
        4.7876574836754076,
        4.787677034048483,
        4.787696584421558,
        4.787716134794632,
        4.787735685167707,
        4.787755235540782,
        4.787774785913857,
        4.787794336286932,
        4.7878138866600075,
        4.787833437033083,
        4.787852987406158,
        4.787872537779233,
        4.787892088152308,
        4.787911638525383,
        4.787931188898458,
        4.787950739271533,
        4.787970289644608,
        4.7879898400176835,
        4.7880089135523916,
        4.788028463925467,
        4.788048014298542,
        4.788067564671617,
        4.788087115044692,
        4.788106665417767,
        4.788126215790842,
        4.788145766163917,
        4.788165316536992,
        4.7881848669100675,
        4.788204417283143,
        4.78822349081785,
        4.788243041190925,
        4.788262591564,
        4.788282141937075,
        4.78830169231015,
        4.788321242683225,
        4.7883407930563004,
        4.7883603434293756,
        4.788379893802451,
        4.788398967337158,
        4.788418517710233,
        4.788438068083308,
        4.788457618456383,
        4.788477168829458,
        4.788496719202533,
        4.7885162695756085,
        4.788535343110316,
        4.788554893483391,
        4.788574443856466,
        4.788593994229541,
        4.788613544602616,
        4.788633094975691,
        4.788652168510398,
        4.7886717188834735,
        4.788691269256549,
        4.788710819629624,
        4.788730370002699,
        4.788749443537407,
        4.788768993910482,
        4.788788544283557,
        4.788808094656632,
        4.788827645029707,
        4.788846718564415,
        4.78886626893749,
        4.788885819310565,
        4.78890536968364,
        4.788924920056715,
        4.788943993591422,
        4.788963543964497,
        4.788983094337572,
        4.7890026447106475,
        4.789021718245355,
        4.78904126861843,
        4.789060818991505,
        4.78908036936458,
        4.789099442899287,
        4.789118993272362,
        4.7891385436454375,
        4.789158094018513,
        4.789177167553221,
        4.789196717926296,
        4.789216268299371,
        4.789235818672446,
        4.789254892207153,
        4.789274442580228,
        4.789293992953303,
        4.789313066488011,
        4.789332616861086,
        4.789352167234161,
        4.789371240768868,
        4.789390791141943,
        4.789410341515018,
        4.789429891888093,
        4.789448965422801,
        4.7894685157958765,
        4.789488066168952,
        4.789507139703659,
        4.789526690076734,
        4.789546240449809,
        4.789565313984516,
        4.789584864357591,
        4.7896044147306664,
        4.789623488265374,
        4.789643038638449,
        4.789662589011524,
        4.789681662546231,
        4.789701212919306,
        4.789720763292381,
        4.789739836827089,
        4.7897593872001645,
        4.789778460734872,
        4.789798011107947,
        4.789817561481022,
        4.789836635015729,
        4.789856185388804,
        4.789875735761879,
        4.7898948092965865,
        4.789914359669662,
        4.78993343320437,
        4.789952983577445,
        4.78997253395052,
        4.789991607485227,
        4.790011157858302,
        4.790030231393009,
        4.7900497817660845,
        4.79006933213916,
        4.790088405673867,
        4.790107956046942,
        4.790127029581649,
        4.790146579954724,
        4.790165653489432,
        4.7901852038625075,
        4.790204754235583,
        4.79022382777029,
        4.790243378143365,
        4.790262451678072,
        4.790282002051147,
        4.790301075585854,
        4.7903206259589295,
        4.790339699493638,
        4.790359249866713,
        4.79037832340142,
        4.790397873774495,
        4.790416947309202,
        4.790436497682277,
        4.790861360667885,
        4.790880434202593,
        4.7908995077373,
        4.790919058110375,
        4.790938131645082,
        4.790957682018157,
        4.790976755552865,
        4.79099630592594,
        4.791015379460648,
        4.791034452995355,
        4.79105400336843,
        4.791073076903137,
        4.791092627276212,
        4.791111700810919,
        4.7911312511839945,
        4.791150324718703,
        4.79116939825341,
        4.791188948626485,
        4.791208022161192,
        4.791227095695899,
        4.791246646068974,
        4.7912657196036825,
        4.791285269976758,
        4.791304343511465,
        4.791323417046172,
        4.791342967419247,
        4.791362040953954,
        4.791381114488662,
        4.7914006648617375,
        4.791419738396445,
        4.79143928876952,
        4.791535133281425,
        4.7915546836545,
        4.791573757189207,
        4.791592830723914,
        4.791612381096989,
        4.7916314546316965,
        4.791650528166405,
        4.791669601701112,
        4.791689152074187,
        4.791708225608894,
        4.791727299143601,
        4.791746849516676,
        4.7917659230513845,
        4.791784996586092,
        4.791804546959167,
        4.791823620493874,
        4.791842694028581,
        4.791861767563289,
        4.791881317936364,
        4.791900391471072,
        4.791919465005779,
        4.791938538540486,
        4.791958088913561,
        4.791977162448269,
        4.791996235982976,
        4.7920157863560515,
        4.792034859890759,
        4.792053933425466,
        4.792073006960173,
        4.792092080494881,
        4.792111630867956,
        4.7921307044026635,
        4.792149777937371,
        4.792168851472078,
        4.792188401845153,
        4.792207475379861,
        4.792226548914568,
        4.7922456224492755,
        4.792265172822351,
        4.792284246357058,
        4.792303319891766,
        4.792322393426473,
        4.79234146696118,
        4.7923610173342555,
        4.792380090868963,
        4.792399164403671,
        4.792418237938378,
        4.792437311473085,
        4.792456385007792,
        4.7924759353808675,
        4.792495008915575,
        4.792514082450283,
        4.79253315598499,
        4.792552229519697,
        4.792571303054404,
        4.7925908534274795,
        4.792609926962188,
        4.792629000496895,
        4.792648074031602,
        4.792667147566309,
        4.792686221101017,
        4.7927052946357245,
        4.7927248450088,
        4.792743918543507,
        4.792762992078214,
        4.792782065612922,
        4.792801139147629,
        4.7928202126823365,
        4.792839286217044,
        4.792858359751751,
        4.792877910124826,
        4.792896983659534,
        4.792916057194241,
        4.7929351307289485,
        4.792954204263656,
        4.792973277798364,
        4.792992351333071,
        4.793011424867778,
        4.793030498402485,
        4.7930495719371935,
        4.793068645471901,
        4.793088195844976,
        4.7931644899838055,
        4.793183563518513,
        4.79320263705322,
        4.793221710587927,
        4.793240784122635,
        4.793259857657342,
        4.79327893119205,
        4.793298004726757,
        4.793317078261465,
        4.793336151796172,
        4.793355225330879,
        4.7933742988655865,
        4.793393372400295,
        4.793412445935002,
        4.793431519469709,
        4.793450593004416,
        4.793469666539124,
        4.7934887400738315,
        4.793507813608539,
        4.793526887143246,
        4.793545960677954,
        4.793565034212661,
        4.793584107747368,
        4.793603181282076,
        4.793622254816783,
        4.793641328351491,
        4.793660401886198,
        4.793679475420905,
        4.7936985489556125,
        4.793717622490321,
        4.793736696025028,
        4.793755769559735,
        4.793774843094442,
        4.79379391662915,
        4.7938129901638575,
        4.793832063698565,
        4.793851137233272,
        4.79387021076798,
        4.793889284302687,
        4.793908357837394,
        4.793926954533735,
        4.793946028068442,
        4.793965101603149,
        4.793984175137856,
        4.7940032486725634,
        4.7940223222072715,
        4.794041395741979,
        4.794060469276686,
        4.794079542811393,
        4.794098616346101,
        4.794117689880808,
        4.794136763415516,
        4.794155360111856,
        4.794174433646563,
        4.79419350718127,
        4.7942125807159774,
        4.7942316542506855,
        4.794250727785393,
        4.7942698013201,
        4.794288874854807,
        4.794307471551147,
        4.7943265450858545,
        4.794345618620562,
        4.794364692155269,
        4.794383765689977,
        4.794402839224684,
        4.7944219127593914,
        4.794440509455732,
        4.794459582990439,
        4.794478656525146,
        4.794497730059853,
        4.794516803594561,
        4.7945358771292685,
        4.794554473825608,
        4.794573547360316,
        4.794592620895023,
        4.79461169442973,
        4.7946307679644375,
        4.794649364660778,
        4.794668438195485,
        4.794687511730192,
        4.794706585264899,
        4.794725658799607,
        4.794744255495947,
        4.794763329030654,
        4.794782402565362,
        4.794801476100069,
        4.794820549634776,
        4.794839146331117,
        4.794858219865824,
        4.794877293400531,
        4.794896366935238,
        4.794914963631578,
        4.794934037166286,
        4.794953110700993,
        4.794972184235701,
        4.79499078093204,
        4.795009854466747,
        4.795028928001455,
        4.795066598232502,
        4.795161489067672,
        4.795180562602379,
        4.795199636137086,
        4.7952182328334265,
        4.795237306368134,
        4.795256379902841,
        4.795274976599181,
        4.795294050133888,
        4.7953131236685955,
        4.795331720364935,
        4.795350793899643,
        4.79536986743435,
        4.795388940969057,
        4.7954075376653975,
        4.795426611200105,
        4.795445684734812,
        4.795464281431152,
        4.795483354965859,
        4.7955024285005665,
        4.795521025196907,
        4.795540098731614,
        4.795559172266321,
        4.795577768962661,
        4.7955968424973685,
        4.795615439193708,
        4.795634512728415,
        4.795653586263123,
        4.795672182959462,
        4.79569125649417,
        4.795710330028878,
        4.795728926725217,
        4.795748000259924,
        4.795767073794632,
        4.795785670490972,
        4.795804744025679,
        4.795823340722019,
        4.795842414256726,
        4.795861487791433,
        4.795880084487774,
        4.795899158022481,
        4.795917754718821,
        4.795936828253528,
        4.795955901788235,
        4.795974498484575,
        4.795993572019283,
        4.796012168715622,
        4.796031242250329,
        4.7960498389466695,
        4.796068912481377,
        4.796087986016084,
        4.796106582712424,
        4.796125656247131,
        4.7961442529434715,
        4.796163326478179,
        4.796181923174518,
        4.796200996709226,
        4.796220070243933,
        4.796238666940273,
        4.796257740474981,
        4.79627633717132,
        4.796295410706027,
        4.796314007402367,
        4.7963330809370746,
        4.796351677633414,
        4.796370751168122,
        4.796389347864461,
        4.7964084213991685,
        4.796427018095509,
        4.796446091630216,
        4.796464688326556,
        4.796483761861263,
        4.7965023585576025,
        4.796521432092311,
        4.79654002878865,
        4.796559102323357,
        4.796577699019697,
        4.7965967725544045,
        4.796615369250744,
        4.796634442785452,
        4.796653039481791,
        4.796672113016498,
        4.796690709712839,
        4.796709783247546,
        4.796728379943886,
        4.796746976640225,
        4.7967660501749325,
        4.796784646871273,
        4.79680372040598,
        4.79682231710232,
        4.796841390637027,
        4.796859987333367,
        4.796879060868074,
        4.796897657564414,
        4.796916254260753,
        4.796935327795461,
        4.796953924491801,
        4.796972998026508,
        4.796991594722848,
        4.797010668257555,
        4.7970292649538955,
        4.797047861650235,
        4.797066935184942,
        4.797085531881282,
        4.797104605415989,
        4.79712320211233,
        4.797141798808669,
        4.797160872343376,
        4.797179469039716,
        4.7971985425744235,
        4.797217139270763,
        4.797235735967103,
        4.79725480950181,
        4.79727340619815,
        4.79729200289449,
        4.797311076429197,
        4.797329673125537,
        4.797348269821876,
        4.797367343356584,
        4.797385940052924,
        4.797405013587631,
        4.797423610283971,
        4.79744220698031,
        4.797461280515018,
        4.797479877211358,
        4.797498473907697,
        4.797517547442405,
        4.7975361441387445,
        4.797554740835085,
        4.797573337531424,
        4.797592411066131,
        4.797611007762471,
        4.797629604458811,
        4.797648677993519,
        4.797667274689858,
        4.797685871386198,
        4.7977049449209055,
        4.797723541617245,
        4.797742138313585,
        4.797761211848292,
        4.7977798085446315,
        4.797798405240972,
        4.797817001937311,
        4.797836075472019,
        4.797854672168358,
        4.797873268864699,
        4.797891865561038,
        4.797910939095745,
        4.797929535792085,
        4.7979481324884246,
        4.797966729184765,
        4.797985802719472,
        4.798004399415811,
        4.798022996112151,
        4.798041592808491,
        4.798060666343199,
        4.798079263039538,
        4.798097859735878,
        4.798116456432218,
        4.798135529966925,
        4.798154126663265,
        4.798172723359604,
        4.7981913200559445,
        4.798209916752284,
        4.798228990286992,
        4.798247586983331,
        4.7982661836796705,
        4.798284780376011,
        4.79830337707235,
        4.798322450607058,
        4.798341047303397,
        4.798359643999738,
        4.798378240696077,
        4.798396837392417,
        4.798415910927124,
        4.798434507623464,
        4.798453104319804,
        4.798471701016143,
        4.798490297712483,
        4.798508894408823,
        4.79852796794353,
        4.79854656463987,
        4.798565161336209,
        4.798583758032549,
        4.798602354728889,
        4.798620951425229,
        4.798640024959936,
        4.798658621656276,
        4.798789275369022,
        4.798807872065361,
        4.7988264687617015,
        4.798845065458041,
        4.798863662154381,
        4.79888225885072,
        4.7989008555470605,
        4.7989194522434,
        4.79893804893974,
        4.798956645636079,
        4.7989757191707865,
        4.798994315867127,
        4.799012912563466,
        4.799031509259806,
        4.7990501059561455,
        4.799068702652486,
        4.799087299348825,
        4.799105896045165,
        4.799124492741504,
        4.799143089437845,
        4.799161686134184,
        4.799180282830524,
        4.799198879526863,
        4.799217476223204,
        4.799236072919543,
        4.799254669615883,
        4.799273266312222,
        4.799291863008562,
        4.79931093654327,
        4.799329533239609,
        4.799348129935949,
        4.799366726632289,
        4.799385323328629,
        4.799403920024968,
        4.799422516721308,
        4.799441113417648,
        4.799459710113988,
        4.799478306810327,
        4.799496903506667,
        4.7995155002030065,
        4.799534096899347,
        4.799552693595686,
        4.799571290292025,
        4.7995898869883655,
        4.799608483684705,
        4.799627080381045,
        4.799645677077384,
        4.799663796935357,
        4.799682393631697,
        4.799700990328036,
        4.799719587024376,
        4.799738183720716,
        4.799756780417056,
        4.799775377113395,
        4.799793973809734,
        4.799812570506075,
        4.799831167202414,
        4.799849763898754,
        4.799868360595093,
        4.7998869572914336,
        4.799905553987773,
        4.799924150684113,
        4.799942747380452,
        4.7999613440767925,
        4.799979940773132,
        4.799998060631104,
        4.800016657327444,
        4.800035254023784,
        4.800053850720123,
        4.800072447416463,
        4.800091044112802,
        4.800109640809143,
        4.800128237505482,
        4.800146834201822,
        4.800165430898161,
        4.800183550756134,
        4.800202147452474,
        4.800220744148813,
        4.800239340845153,
        4.800257937541493,
        4.800276534237832,
        4.800295130934172,
        4.8003137276305115,
        4.800331847488484,
        4.800350444184824,
        4.800369040881163,
        4.800387637577503,
        4.800406234273843,
        4.800424830970183,
        4.800442950828154,
        4.8004615475244945,
        4.800480144220834,
        4.800498740917174,
        4.800517337613513,
        4.8005359343098535,
        4.800554054167825,
        4.800572650864165,
        4.800591247560504,
        4.800609844256845,
        4.800628440953184,
        4.800647037649524,
        4.800665157507496,
        4.800683754203836,
        4.800702350900176,
        4.800720947596515,
        4.800739544292855,
        4.800757664150827,
        4.800776260847167,
        4.800794857543506,
        4.800813454239846,
        4.800831574097818,
        4.800850170794158,
        4.800868767490497,
        4.8008873641868375,
        4.800905960883177,
        4.800924080741149,
        4.800942677437489,
        4.800961274133829,
        4.800979870830168,
        4.80099799068814,
        4.80101658738448,
        4.80103518408082,
        4.80105378077716,
        4.801071900635131,
        4.801090497331471,
        4.801109094027811,
        4.801127213885783,
        4.801145810582123,
        4.8011644072784625,
        4.801183003974803,
        4.801201123832774,
        4.801219720529114,
        4.801238317225454,
        4.801256437083426,
        4.801275033779765,
        4.801293630476105,
        4.801312227172445,
        4.801330347030417,
        4.801348943726757,
        4.801367540423096,
        4.801385660281069,
        4.801404256977408,
        4.801422853673748,
        4.80144097353172,
        4.80145957022806,
        4.801478166924399,
        4.801496286782371,
        4.801514883478712,
        4.801533480175051,
        4.801551600033023,
        4.8015701967293625,
        4.801588793425703,
        4.801606913283675,
        4.801625509980014,
        4.801644106676354,
        4.801662226534326,
        4.801680823230666,
        4.801698943088637,
        4.801717539784978,
        4.801736136481317,
        4.801754256339289,
        4.801772853035629,
        4.801791449731969,
        4.801809569589941,
        4.80182816628628,
        4.801846286144253,
        4.801864882840593,
        4.801883479536932,
        4.801901599394904,
        4.801920196091244,
        4.801938315949216,
        4.801956912645555,
        4.801975509341895,
        4.801993629199868,
        4.802012225896207,
        4.802030345754179,
        4.802048942450519,
        4.802067539146859,
        4.80208565900483,
        4.80210425570117,
        4.802122375559143,
        4.802140972255482,
        4.802159092113454,
        4.802177688809794,
        4.802195808667766,
        4.802214405364106,
        4.802233002060445,
        4.802251121918418,
        4.802416584832004,
        4.8024347046899765,
        4.802453301386316,
        4.802471421244288,
        4.802490017940628,
        4.8025081377986,
        4.80252673449494,
        4.802544854352911,
        4.802563451049251,
        4.802581570907224,
        4.802600167603563,
        4.802618287461535,
        4.802636884157875,
        4.802655004015847,
        4.802673600712187,
        4.8026917205701585,
        4.802710317266499,
        4.80272843712447,
        4.80274703382081,
        4.8027651536787825,
        4.802783273536754,
        4.802801870233094,
        4.802819990091066,
        4.802838586787406,
        4.802856706645378,
        4.802875303341717,
        4.80289342319969,
        4.80291201989603,
        4.802930139754001,
        4.8029482596119735,
        4.802966856308313,
        4.802984976166285,
        4.803003572862625,
        4.803021692720597,
        4.803131842383532,
        4.803149962241505,
        4.803186678795816,
        4.8032047986537885,
        4.80322291851176,
        4.803515697269519,
        4.803533817127491,
        4.803552413823831,
        4.803570533681802,
        4.803588653539775,
        4.803607250236115,
        4.803625370094086,
        4.803643489952059,
        4.803662086648399,
        4.80368020650637,
        4.8036983263643425,
        4.803716923060683,
        4.803735042918654,
        4.803753162776626,
        4.803771759472966,
        4.803789879330938,
        4.80380799918891,
        4.8038261190468825,
        4.803844715743222,
        4.803862835601194,
        4.803880955459166,
        4.803899075317138,
        4.803917672013478,
        4.80393579187145,
        4.803953911729422,
        4.803972508425762,
        4.803990628283733,
        4.8040087481417055,
        4.804026867999678,
        4.804045464696017,
        4.804063584553989,
        4.804081704411962,
        4.804099824269934,
        4.804117944127905,
        4.804136540824246,
        4.804154660682217,
        4.804172780540189,
        4.8041909003981615,
        4.804209497094501,
        4.804227616952473,
        4.804245736810445,
        4.804263856668418,
        4.804281976526389,
        4.804300573222729,
        4.804318693080702,
        4.804336812938673,
        4.804354932796645,
        4.804373052654618,
        4.804391649350957,
        4.804409769208929,
        4.804427889066901,
        4.804446008924873,
        4.804464128782845,
        4.804482725479185,
        4.804500845337157,
        4.804518965195129,
        4.804537085053101,
        4.804555204911073,
        4.804573324769045,
        4.804591921465385,
        4.804610041323357,
        4.804628161181329,
        4.804646281039301,
        4.804664400897273,
        4.804682520755245,
        4.804700640613217,
        4.804719237309557,
        4.804737357167529,
        4.804755477025501,
        4.804773596883473,
        4.804791716741445,
        4.804809836599417,
        4.804827956457389,
        4.8048460763153615,
        4.804864673011701,
        4.804882792869673,
        4.804900912727645,
        4.804919032585617,
        4.804937152443589,
        4.804955272301561,
        4.804973392159533,
        4.804991512017505,
        4.805009631875477,
        4.80502775173345,
        4.805046348429789,
        4.805064468287761,
        4.8050825881457335,
        4.805100708003705,
        4.805118827861677,
        4.8051369477196495,
        4.805155067577621,
        4.805173187435593,
        4.8051913072935655,
        4.805209427151538,
        4.805227547009509,
        4.8052456668674814,
        4.805263786725454,
        4.805281906583426,
        4.805300026441397,
        4.80531814629937,
        4.805336266157342,
        4.805354386015313,
        4.805372505873286,
        4.805391102569626,
        4.805409222427597,
        4.80542734228557,
        4.805445462143542,
        4.805463582001514,
        4.8054817018594855,
        4.805499821717458,
        4.80551794157543,
        4.8055360614334015,
        4.805554181291374,
        4.805572301149346,
        4.805590421007318,
        4.80560854086529,
        4.805626660723262,
        4.805644780581234,
        4.805662900439206,
        4.805681020297178,
        4.805698663316782,
        4.805716783174755,
        4.805734903032727,
        4.805753022890698,
        4.805771142748671,
        4.805789262606643,
        4.805807382464615,
        4.805825502322587,
        4.805843622180559,
        4.805861742038531,
        4.805879861896503,
        4.806024820760279,
        4.8060424637798835,
        4.806060583637856,
        4.806078703495828,
        4.8060968233537995,
        4.806114943211772,
        4.806133063069744,
        4.806151182927716,
        4.806169302785688,
        4.80618742264366,
        4.806205542501632,
        4.806223185521237,
        4.806241305379208,
        4.80625942523718,
        4.806277545095153,
        4.806295664953125,
        4.806313784811096,
        4.806331904669069,
        4.806350024527041,
        4.806368144385013,
        4.806385787404617,
        4.806403907262589,
        4.806422027120561,
        4.806440146978534,
        4.806458266836505,
        4.806476386694477,
        4.806494029714082,
        4.806512149572054,
        4.806530269430026,
        4.806548389287998,
        4.80881742466063,
        4.811302944652189,
        4.811324402378735,
        4.8113458601052805,
        4.811367317831826,
        4.811388775558372,
        4.811581895097285,
        4.8116033528238304,
        4.811624810550376,
        4.811646268276922,
        4.811667726003468,
        4.811689183730014,
        4.811710164618192,
        4.8117316223447375,
        4.813327123523013,
        4.815222079196195,
        4.815243060084373,
        4.815264040972551,
        4.8152854986990965,
        4.815306479587274,
        4.815327460475453,
        4.815348918201999,
        4.815369899090177,
        4.815390879978355,
        4.815412337704901,
        4.8154333185930795,
        4.8154542994812575,
        4.815475280369435,
        4.815496738095981,
        4.815517718984159,
        4.815538699872338,
        4.815560157598884,
        4.815581138487062,
        4.81560211937524,
        4.8156231002634176,
        4.815644557989963,
        4.815665538878142,
        4.81568651976632,
        4.815707500654498,
        4.815728958381044,
        4.815749939269222,
        4.815770920157401,
        4.8157919010455785,
        4.815813358772124,
        4.815834339660302,
        4.815855320548481,
        4.815876301436659,
        4.815897282324837,
        4.815918740051383,
        4.815939720939561,
        4.8159607018277395,
        4.815981682715917,
        4.816002663604095,
        4.816024121330641,
        4.816045102218819,
        4.816066083106998,
        4.816087063995176,
        4.816108044883354,
        4.8161295026099,
        4.8161504834980775,
        4.816171464386256,
        4.816192445274434,
        4.816213426162612,
        4.816234407050791,
        4.816255387938969,
        4.816276845665515,
        4.816297826553693,
        4.816318807441871,
        4.816339788330049,
        4.816360769218227,
        4.816381750106405,
        4.816402730994583,
        4.816424188721129,
        4.816445169609308,
        4.816466150497486,
        4.816487131385664,
        4.816508112273842,
        4.81652909316202,
        4.816550074050198,
        4.816571054938376,
        4.816592035826554,
        4.816613016714733,
        4.816634474441279,
        4.816655455329457,
        4.816676436217635,
        4.8166974171058135,
        4.816718397993991,
        4.816739378882169,
        4.816760359770347,
        4.816781340658526,
        4.816802321546704,
        4.816823302434882,
        4.81684428332306,
        4.816865264211239,
        4.8168862450994165,
        4.8169072259875945,
        4.816928206875772,
        4.816949187763951,
        4.816970168652129,
        4.816991149540307,
        4.817012130428485,
        4.817033111316664,
        4.817054092204842,
        4.81707507309302,
        4.817096053981198,
        4.817117034869376,
        4.817138015757554,
        4.817158996645732,
        4.817179977533911,
        4.817200958422089,
        4.817221939310267,
        4.817242920198445,
        4.817263901086624,
        4.8172848819748015,
        4.8173058628629795,
        4.817326843751157,
        4.817347824639336,
        4.817368805527514,
        4.817389786415692,
        4.81741076730387,
        4.817431748192049,
        4.817452729080227,
        4.817473709968405,
        4.8174946908565826,
        4.817515671744761,
        4.817536652632939,
        4.817557633521117,
        4.817578614409295,
        4.817599118459106,
        4.817620099347284,
        4.817641080235463,
        4.817662061123641,
        4.817683042011819,
        4.8177040228999966,
        4.817725003788175,
        4.817745984676353,
        4.817766965564531,
        4.817787946452709,
        4.81780845050252,
        4.817829431390698,
        4.817850412278876,
        4.817871393167055,
        4.817892374055233,
        4.8179133549434106,
        4.8179343358315885,
        4.817955316719767,
        4.817975820769577,
        4.817996801657755,
        4.818017782545934,
        4.818038763434112,
        4.81805974432229,
        4.818080725210468,
        4.818101229260279,
        4.818122210148457,
        4.8181431910366355,
        4.818164171924813,
        4.818185152812991,
        4.818206133701169,
        4.81822663775098,
        4.818247618639158,
        4.818268599527336,
        4.818289580415515,
        4.818310561303693,
        4.818331065353503,
        4.818352046241682,
        4.8183730271298595,
        4.818394008018037,
        4.818414512067848,
        4.818435492956026,
        4.818456473844204,
        4.818477454732382,
        4.818498435620561,
        4.818518939670371,
        4.818539920558549,
        4.818560901446728,
        4.818581882334906,
        4.818602386384716,
        4.818623367272894,
        4.818644348161072,
        4.818664852210882,
        4.818685833099061,
        4.818706813987239,
        4.818727794875417,
        4.818748298925228,
        4.818769279813406,
        4.818790260701584,
        4.818810764751395,
        4.818831745639573,
        4.8188527265277505,
        4.818873707415929,
        4.818894211465739,
        4.818915192353917,
        4.818936173242096,
        4.818956677291906,
        4.818977658180084,
        4.818998639068263,
        4.819019143118073,
        4.819040124006251,
        4.81906110489443,
        4.81908160894424,
        4.819102589832418,
        4.819123570720596,
        4.819144074770406,
        4.819165055658584,
        4.819186036546763,
        4.819206540596573,
        4.819227521484751,
        4.81924850237293,
        4.81926900642274,
        4.819289987310919,
        4.819310491360729,
        4.819331472248907,
        4.8193524531370855,
        4.8193729571868955,
        4.819393938075073,
        4.819414442124884,
        4.819435423013062,
        4.81945640390124,
        4.819476907951051,
        4.819497888839229,
        4.81951839288904,
        4.819539373777218,
        4.819560354665396,
        4.819580858715207,
        4.819601839603385,
        4.819622343653195,
        4.8196433245413735,
        4.8196638285911835,
        4.819684809479361,
        4.81970579036754,
        4.81972629441735,
        4.819747275305528,
        4.819767779355339,
        4.819788760243517,
        4.819809264293328,
        4.819830245181506,
        4.819850749231316,
        4.819871730119495,
        4.819892234169305,
        4.8199132150574835,
        4.8199337191072935,
        4.819954699995471,
        4.819975204045282,
        4.81999618493346,
        4.820016688983271,
        4.820037669871449,
        4.820058173921259,
        4.820079154809438,
        4.820099658859248,
        4.820120639747426,
        4.820141143797237,
        4.820162124685415,
        4.820182628735226,
        4.8202036096234036,
        4.820224113673214,
        4.820245094561392,
        4.820265598611202,
        4.82028657949938,
        4.820307083549191,
        4.820327587599001,
        4.82034856848718,
        4.82036907253699,
        4.820390053425168,
        4.820410557474979,
        4.820431538363157,
        4.820452042412968,
        4.820472546462778,
        4.820493527350956,
        4.820514031400767,
        4.8205350122889445,
        4.8205555163387555,
        4.8205760203885655,
        4.820597001276744,
        4.820617505326554,
        4.820638486214732,
        4.820658990264543,
        4.820679494314353,
        4.820700475202532,
        4.820720979252342,
        4.82074196014052,
        4.821381877229954,
        4.821402858118132,
        4.821423362167943,
        4.821443866217753,
        4.821464370267564,
        4.821485351155742,
        4.821505855205552,
        4.821526359255363,
        4.821546863305173,
        4.821567844193352,
        4.821588348243162,
        4.8216088522929725,
        4.821629356342783,
        4.8216498603925935,
        4.821670841280771,
        4.821691345330581,
        4.821711849380392,
        4.821732353430202,
        4.821752857480013,
        4.821773838368191,
        4.821794342418002,
        4.821814846467812,
        4.821835350517623,
        4.821855854567433,
        4.821876835455611,
        4.821897339505422,
        4.821917843555232,
        4.821938347605043,
        4.821958851654853,
        4.821979355704664,
        4.822000336592842,
        4.822020840642653,
        4.822041344692463,
        4.8220618487422735,
        4.8220823527920835,
        4.822102856841894,
        4.8221233608917045,
        4.822144341779883,
        4.822287870128556,
        4.822308851016734,
        4.822329355066545,
        4.822349859116355,
        4.822370363166166,
        4.822390867215976,
        4.822411371265787,
        4.822431875315597,
        4.822452379365408,
        4.822472883415218,
        4.822493387465029,
        4.822513891514839,
        4.82253439556465,
        4.82255489961446,
        4.822575880502638,
        4.822596384552448,
        4.822616888602259,
        4.822637392652069,
        4.82265789670188,
        4.82267840075169,
        4.822698904801501,
        4.822719408851311,
        4.822739912901122,
        4.822760416950932,
        4.822780921000743,
        4.822801425050553,
        4.822821929100364,
        4.822842433150174,
        4.822862937199985,
        4.822883441249795,
        4.822903945299606,
        4.822924449349416,
        4.822944953399227,
        4.822965457449037,
        4.822985961498848,
        4.823006465548658,
        4.823026969598469,
        4.823047473648279,
        4.82306797769809,
        4.8230884817479,
        4.8231089857977105,
        4.8231294898475205,
        4.8231499938973315,
        4.8231704979471415,
        4.823191001996952,
        4.823211506046762,
        4.823232010096573,
        4.823252037308016,
        4.823272541357826,
        4.823293045407637,
        4.823313549457447,
        4.823334053507258,
        4.823354557557068,
        4.823375061606879,
        4.823395565656689,
        4.8234160697065,
        4.82343657375631,
        4.823457077806121,
        4.823477581855931,
        4.823497609067374,
        4.823518113117184,
        4.823538617166995,
        4.823559121216805,
        4.823579625266616,
        4.823600129316426,
        4.823620633366237,
        4.823641137416047,
        4.823661641465858,
        4.823681668677301,
        4.823702172727111,
        4.823722676776922,
        4.823743180826732,
        4.823763684876543,
        4.823784188926353,
        4.8238046929761635,
        4.823824720187606,
        4.823845224237417,
        4.823865728287227,
        4.8238862323370375,
        4.8239067363868475,
        4.823927240436658,
        4.8239472676481014,
        4.8239677716979115,
        4.823988275747722,
        4.824008779797532,
        4.824029283847343,
        4.824049311058785,
        4.824069815108596,
        4.824090319158406,
        4.824110823208217,
        4.824131327258027,
        4.82415135446947,
        4.824171858519281,
        4.824192362569091,
        4.824212866618902,
        4.824232893830345,
        4.824253397880155,
        4.824273901929966,
        4.824294405979776,
        4.824314433191219,
        4.824334937241029,
        4.82435544129084,
        4.82437594534065,
        4.824395972552093,
        4.824416476601904,
        4.824436980651714,
        4.824457484701525,
        4.824477511912967,
        4.824498015962778,
        4.824518520012588,
        4.824539024062399,
        4.824559051273842,
        4.824579555323652,
        4.824600059373463,
        4.824620086584905,
        4.824640590634716,
        4.824661094684526,
        4.824681598734337,
        4.82470162594578,
        4.82472212999559,
        4.824742634045401,
        4.824762661256843,
        4.824783165306654,
        4.824803669356464,
        4.824823696567907,
        4.824844200617718,
        4.824864704667528,
        4.824884731878971,
        4.824905235928781,
        4.824925739978592,
        4.824945767190035,
        4.825047333762352,
        4.825067837812162,
        4.8250883418619726,
        4.825108369073415,
        4.825128873123226,
        4.825149377173036,
        4.825169404384479,
        4.8251899084342895,
        4.825209935645732,
        4.8252304396955426,
        4.825250943745353,
        4.825270970956796,
        4.8252914750066065,
        4.825311502218049,
        4.8253320062678595,
        4.8253520334793025,
        4.8253725375291125,
        4.8253930415789235,
        4.825413068790366,
        4.8254335728401765,
        4.8254536000516195,
        4.8254741041014295,
        4.8254941313128725,
        4.8255146353626825,
        4.8255351394124935,
        4.8255551666239365,
        4.8255756706737465,
        4.8255956978851895,
        4.8256162019349995,
        4.8256362291464425,
        4.825656733196253,
        4.8256767604076956,
        4.8256972644575065,
        4.8257172916689495,
        4.8257377957187595,
        4.8257578229302025,
        4.8259604792364685,
        4.8259809832862794,
        4.8260010104977225,
        4.8260215145475325,
        4.8260415417589755,
        4.8260620458087855,
        4.8260820730202285,
        4.8261021002316715,
        4.8261226042814815,
        4.8261426314929246,
        4.8261631355427355,
        4.826183162754178,
        4.8262036668039885,
        4.8262236940154315,
        4.8262441980652415,
        4.8262642252766845,
        4.8262842524881275,
        4.826304756537938,
        4.826324783749381,
        4.826345287799191,
        4.826365315010634,
        4.826385342222077,
        4.826405846271887,
        4.82642587348333,
        4.8264463775331405,
        4.826466404744583,
        4.826486431956026,
        4.826506936005837,
        4.826526963217279,
        4.82654746726709,
        4.826567494478533,
        4.826587521689975,
        4.826608025739786,
        4.826628052951229,
        4.826648080162671,
        4.826668584212482,
        4.826688611423925,
        4.826708638635367,
        4.826729142685178,
        4.826749169896621,
        4.826769197108063,
        4.826789701157874,
        4.826809728369317,
        4.826829755580759,
        4.82685025963057,
        4.826870286842013,
        4.826890314053455,
        4.826910818103266,
        4.826930845314709,
        4.826950872526151,
        4.826971376575962,
        4.826991403787405,
        4.827011430998847,
        4.82703145821029,
        4.827051962260101,
        4.827071989471543,
        4.827092016682986,
        4.827112520732797,
        4.827132547944239,
        4.827152575155682,
        4.827172602367125,
        4.827193106416935,
        4.827213133628378,
        4.827233160839821,
        4.827253188051264,
        4.827273692101074,
        4.827293719312517,
        4.82731374652396,
        4.827333773735402,
        4.827354277785213,
        4.827374304996656,
        4.827394332208098,
        4.827414359419541,
        4.827434863469352,
        4.827454890680794,
        4.827474917892237,
        4.82749494510368,
        4.827514972315123,
        4.827535476364933,
        4.827555503576376,
        4.827575530787819,
        4.8275955579992615,
        4.8276155852107046,
        4.8276360892605155,
        4.827656116471958,
        4.827676143683401,
        4.827696170894844,
        4.827716198106287,
        4.827736225317729,
        4.82775672936754,
        4.827776756578983,
        4.827796783790425,
        4.827816811001868,
        4.827836838213311,
        4.827856865424754,
        4.827877369474564,
        4.827897396686007,
        4.82791742389745,
        4.827937451108892,
        4.827957478320335,
        4.827977505531778,
        4.827997532743221,
        4.828017559954663,
        4.828038064004474,
        4.828058091215917,
        4.828078118427359,
        4.828098145638802,
        4.828118172850245,
        4.828138200061688,
        4.82815822727313,
        4.828178254484573,
        4.828198281696016,
        4.828218785745826,
        4.828238812957269,
        4.828258840168712,
        4.828278867380155,
        4.8282988945915974,
        4.8283189218030405,
        4.8283389490144835,
        4.8283589762259265,
        4.828379003437369,
        4.828399030648812,
        4.828419057860255,
        4.828439085071698,
        4.82845911228314,
        4.828479139494583,
        4.828499166706026,
        4.828519193917469,
        4.828539221128911,
        4.828559248340354,
        4.828579275551797,
        4.828599779601607,
        4.82861980681305,
        4.828639834024493,
        4.828659861235936,
        4.828679888447378,
        4.828699915658821,
        4.828719942870264,
        4.828739970081707,
        4.828759997293149,
        4.828780024504592,
        4.828800051716035,
        4.828820078927478,
        4.82884010613892,
        4.8288596565119954,
        4.8288796837234385,
        4.8288997109348815,
        4.8289197381463245,
        4.828939765357767,
        4.82895979256921,
        4.828979819780653,
        4.828999846992096,
        4.829019874203538,
        4.829039901414981,
        4.829059928626424,
        4.829079955837867,
        4.829099983049309,
        4.829120010260752,
        4.829140037472195,
        4.829160064683638,
        4.82918009189508,
        4.829200119106523,
        4.829220146317966,
        4.829239696691041,
        4.829259723902484,
        4.829279751113926,
        4.829299778325369,
        4.829319805536812,
        4.829339832748255,
        4.829639287243161,
        4.829659314454604,
        4.829679341666047,
        4.829698892039122,
        4.829718919250565,
        4.829738946462007,
        4.82975897367345,
        4.829779000884893,
        4.829799028096335,
        4.8298185784694105,
        4.8298386056808535,
        4.8298586328922966,
        4.82987866010374,
        4.829898687315182,
        4.829918237688257,
        4.8299382648997,
        4.829958292111143,
        4.829978319322586,
        4.829998346534028,
        4.830017896907103,
        4.830037924118546,
        4.830057951329989,
        4.830077978541432,
        4.830097528914507,
        4.830117556125949,
        4.830137583337392,
        4.830157610548835,
        4.83017716092191,
        4.830197188133353,
        4.8302172153447955,
        4.8302372425562385,
        4.830256792929314,
        4.830276820140757,
        4.8302968473522,
        4.830316874563642,
        4.830336424936717,
        4.83035645214816,
        4.830376479359603,
        4.830396506571046,
        4.830416056944121,
        4.830436084155563,
        4.830456111367006,
        4.830475661740081,
        4.830495688951524,
        4.830515716162967,
        4.830535266536042,
        4.8305552937474845,
        4.8305753209589275,
        4.8305953481703705,
        4.830614898543446,
        4.830634925754889,
        4.830654952966331,
        4.830674503339406,
        4.830694530550849,
        4.830714557762292,
        4.830734108135367,
        4.83075413534681,
        4.830773685719885,
        4.830793712931327,
        4.83081374014277,
        4.830833290515845,
        4.830853317727288,
        4.830873344938731,
        4.830892895311806,
        4.8309129225232486,
        4.830932949734692,
        4.830952500107767,
        4.83097252731921,
        4.830992077692285,
        4.831012104903728,
        4.83103213211517,
        4.831051682488245,
        4.831071709699688,
        4.831091260072763,
        4.831111287284206,
        4.831131314495649,
        4.831150864868724,
        4.831170892080166,
        4.8311904424532415,
        4.8312104696646845,
        4.8312304968761275,
        4.831250047249203,
        4.831270074460646,
        4.831289624833721,
        4.831309652045163,
        4.831329202418238,
        4.831349229629681,
        4.831368780002756,
        4.831388807214199,
        4.831408834425642,
        4.831428384798717,
        4.831448412010159,
        4.831467962383234,
        4.831487989594677,
        4.8315075399677525,
        4.8315275671791955,
        4.831547117552271,
        4.831567144763713,
        4.831586695136788,
        4.831606722348231,
        4.831626272721306,
        4.831646299932749,
        4.831665850305824,
        4.831685877517267,
        4.831705427890342,
        4.831725455101784,
        4.831745005474859,
        4.831765032686302,
        4.8317845830593775,
        4.8318046102708205,
        4.831824160643896,
        4.831844187855339,
        4.831863738228414,
        4.831883765439856,
        4.831903315812931,
        4.831922866186006,
        4.831942893397449,
        4.831962443770524,
        4.831982470981967,
        4.832002021355042,
        4.832022048566485,
        4.83204159893956,
        4.8320616261510025,
        4.832081176524078,
        4.832100726897153,
        4.832120754108596,
        4.832140304481671,
        4.832160331693114,
        4.832179882066189,
        4.832199432439264,
        4.832219459650707,
        4.832239010023782,
        4.832259037235224,
        4.832278587608299,
        4.8322981379813745,
        4.8323181651928175,
        4.832337715565893,
        4.832357742777336,
        4.832377293150411,
        4.832396843523486,
        4.832416870734929,
        4.832436421108004,
        4.832455971481079,
        4.832475998692521,
        4.832495549065596,
        4.832515576277039,
        4.832535126650114,
        4.8325546770231895,
        4.8325747042346325,
        4.832594254607708,
        4.832613804980783,
        4.832633832192226,
        4.832653382565301,
        4.832672932938375,
        4.832692960149818,
        4.832712510522893,
        4.832732060895968,
        4.832752088107411,
        4.832771638480486,
        4.8327911888535615,
        4.832810739226637,
        4.83283076643808,
        4.832850316811155,
        4.83286986718423,
        4.832889894395672,
        4.832909444768747,
        4.832928995141822,
        4.832948545514897,
        4.833263735675938,
        4.833283286049013,
        4.833302836422088,
        4.833322386795163,
        4.833341937168238,
        4.833361964379681,
        4.833381514752756,
        4.833401065125831,
        4.833420615498906,
        4.833440165871981,
        4.8334601930834244,
        4.8334797434564996,
        4.833499293829575,
        4.83351884420265,
        4.833538394575725,
        4.833558421787167,
        4.833577972160242,
        4.833597522533317,
        4.833617072906392,
        4.833636623279467,
        4.8336561736525425,
        4.8336762008639855,
        4.833695751237061,
        4.833715301610136,
        4.833734851983211,
        4.833754402356286,
        4.833773952729361,
        4.833793503102436,
        4.833813530313879,
        4.833833080686954,
        4.833852631060029,
        4.8338721814331045,
        4.83389173180618,
        4.833911282179255,
        4.83393083255233,
        4.833950382925405,
        4.83396993329848,
        4.833989960509922,
        4.834009510882997,
        4.834029061256072,
        4.8340486116291475,
        4.834068162002223,
        4.834087712375298,
        4.834107262748373,
        4.834126813121448,
        4.834146363494523,
        4.834165913867598,
        4.834185464240673,
        4.834205491452116,
        4.834225041825191,
        4.834244592198266,
        4.8342641425713415,
        4.834283692944417,
        4.834303243317492,
        4.834322793690567,
        4.834342344063642,
        4.834361894436717,
        4.834381444809792,
        4.834400995182867,
        4.834420545555942,
        4.8344400959290175,
        4.834459646302093,
        4.834479196675168,
        4.834498747048243,
        4.834518297421318,
        4.834537847794393,
        4.834557398167468,
        4.834576948540543,
        4.834596498913618,
        4.834616049286693,
        4.8346355996597685,
        4.834655150032844,
        4.834674700405919,
        4.834694250778994,
        4.834713801152069,
        4.834733351525144,
        4.834752901898219,
        4.834772452271294,
        4.834792002644369,
        4.8348115530174445,
        4.83483110339052,
        4.834850653763595,
        4.83487020413667,
        4.834889754509745,
        4.83490930488282,
        4.834928855255895,
        4.83494840562897,
        4.834967956002045,
        4.8349870295367525,
        4.835006579909828,
        4.835026130282903,
        4.835045680655978,
        4.835065231029053,
        4.835084781402128,
        4.835104331775203,
        4.835123882148278,
        4.835143432521353,
        4.8351629828944285,
        4.835182533267504,
        4.835202083640579,
        4.835221157175286,
        4.835240707548361,
        4.835260257921436,
        4.835279808294511,
        4.835299358667586,
        4.835318909040661,
        4.8353384594137365,
        4.835358009786812,
        4.835377083321519,
        4.835396633694594,
        4.835416184067669,
        4.835435734440744,
        4.835455284813819,
        4.835474835186894,
        4.8354943855599695,
        4.835513459094678,
        4.835533009467753,
        4.835552559840828,
        4.835572110213903,
        4.835591660586978,
        4.835611210960053,
        4.83563028449476,
        4.835649834867835,
        4.8356693852409105,
        4.835688935613986,
        4.835708485987061,
        4.835728036360136,
        4.835747109894843,
        4.835766660267918,
        4.835786210640993,
        4.835805761014068,
        4.835825311387143,
        4.835844384921851,
        4.835863935294926,
        4.835883485668001,
        4.835903036041076,
        4.835922109575783,
        4.835941659948858,
        4.835961210321933,
        4.8359807606950085,
        4.836000311068084,
        4.836019384602792,
        4.836038934975867,
        4.836058485348942,
        4.836078035722017,
        4.836097109256724,
        4.836116659629799,
        4.836136210002874,
        4.8361557603759495,
        4.836174833910657,
        4.836194384283732,
        4.836213934656807,
        4.836233008191514,
        4.836252558564589,
        4.836272108937664,
        4.8362916593107395,
        4.8363107328454475,
        4.836330283218522,
        4.836349833591597,
        4.836368907126305,
        4.83638845749938,
        4.836408007872455,
        4.836427081407162,
        4.8364466317802375,
        4.836466182153313,
        4.836485732526388,
        4.836504806061095,
        4.83652435643417,
        4.836543906807245,
        4.8368924756540235,
        4.836912026027099,
        4.836931099561806,
        4.836950649934881,
        4.836969723469588,
        4.836989273842663,
        4.837008824215738,
        4.8370278977504455,
        4.837047448123521,
        4.837066521658229,
        4.837086072031304,
        4.837105622404379,
        4.837124695939086,
        4.837144246312161,
        4.837163319846868,
        4.8371828702199435,
        4.837201943754651,
        4.837221494127726,
        4.837241044500801,
        4.837260118035509,
        4.837279668408584,
        4.837298741943291,
        4.8373182923163665,
        4.837337365851074,
        4.837356916224149,
        4.837375989758856,
        4.837395540131931,
        4.837414613666638,
        4.837434164039713,
        4.8374532375744215,
        4.837472787947497,
        4.837491861482204,
        4.837511411855279,
        4.837530485389986,
        4.837550035763061,
        4.837569109297768,
        4.8375886596708435,
        4.837607733205552,
        4.837627283578627,
        4.837646357113334,
        4.837665907486409,
        4.837684981021116,
        4.837704531394191,
        4.8377236049288985,
        4.837743155301974,
        4.837762228836682,
        4.837781779209757,
        4.837800852744464,
        4.837820403117539,
        4.837839476652246,
        4.8378590270253214,
        4.837878100560029,
        4.837897174094736,
        4.837916724467811,
        4.837935798002519,
        4.837955348375594,
        4.837974421910301,
        4.8379939722833765,
        4.838013045818084,
        4.838032119352791,
        4.838051669725866,
        4.838070743260574,
        4.838090293633649,
        4.838109367168356,
        4.838128440703064,
        4.838147991076139,
        4.838167064610846,
        4.838186614983921,
        4.838205688518629,
        4.838224762053336,
        4.838244312426411,
        4.838263385961119,
        4.838282936334194,
        4.838302009868901,
        4.838321083403609,
        4.838340633776684,
        4.838359707311391,
        4.8383787808460985,
        4.838398331219174,
        4.838417404753881,
        4.838436478288588,
        4.838456028661663,
        4.838475102196371,
        4.838494652569446,
        4.8385137261041535,
        4.838532799638861,
        4.838552350011936,
        4.838571423546643,
        4.838590497081351,
        4.838609570616058,
        4.8386291209891334,
        4.838648194523841,
        4.838667268058548,
        4.838686818431623,
        4.838705891966331,
        4.838724965501038,
        4.838744515874113,
        4.838763589408821,
        4.838782662943528,
        4.838802213316603,
        4.83882128685131,
        4.838840360386018,
        4.838859433920725,
        4.8388789842938005,
        4.838898057828508,
        4.838917131363215,
        4.838936204897923,
        4.838955755270998,
        4.838974828805705,
        4.8389939023404125,
        4.839013452713488,
        4.839032526248195,
        4.839051599782903,
        4.83907067331761,
        4.839090223690685,
        4.839109297225392,
        4.8391283707601,
        4.839147444294808,
        4.839166517829515,
        4.83918606820259,
        4.839205141737297,
        4.839224215272004,
        4.839243288806712,
        4.839262839179787,
        4.839281912714495,
        4.839300986249202,
        4.839320059783909,
        4.839339133318616,
        4.8393586836916915,
        4.8393777572264,
        4.839396830761107,
        4.839415904295814,
        4.839434977830521,
        4.839454051365229,
        4.839473601738304,
        4.839492675273012,
        4.839511748807719,
        4.839530822342426,
        4.839549895877134,
        4.839568969411841,
        4.839588519784916,
        4.839607593319624,
        4.839626666854331,
        4.839645740389038,
        4.839664813923746,
        4.839683887458453,
        4.8397034378315285,
        4.839722511366236,
        4.839741584900943,
        4.839760658435651,
        4.839779731970358,
        4.839798805505065,
        4.839817879039773,
        4.839836952574481,
        4.839856502947556,
        4.839875576482263,
        4.83989465001697,
        4.839913723551677,
        4.8399327970863855,
        4.839951870621093,
        4.8399709441558,
        4.839990017690507,
        4.840009091225215,
        4.84004723829463,
        4.840066788667705,
        4.841191173538706,
        4.841267467677536,
        4.841286541212244,
        4.841305614746951,
        4.8413246882816585,
        4.841343284977999,
        4.841362358512706,
        4.841381432047413,
        4.84140050558212,
        4.841419579116828,
        4.841438652651536,
        4.841457726186243,
        4.841476322882583,
        4.84149539641729,
        4.841514469951997,
        4.841533543486705,
        4.841552617021412,
        4.84157169055612,
        4.841590287252459,
        4.841609360787166,
        4.8416284343218745,
        4.841647507856582,
        4.841666581391289,
        4.841685178087629,
        4.841704251622336,
        4.8417233251570435,
        4.841742398691751,
        4.841761472226459,
        4.841780068922798,
        4.841799142457505,
        4.841818215992213,
        4.841837289526921,
        4.841856363061628,
        4.841874959757967,
        4.841894033292675,
        4.841913106827382,
        4.84193218036209,
        4.84195077705843,
        4.841969850593137,
        4.841988924127844,
        4.842007997662551,
        4.842026594358892,
        4.842045667893599,
        4.842064741428306,
        4.843025809158377,
        4.844290146090294,
        4.844309219625002,
        4.844327816321341,
        4.84434641301768,
        4.844365486552388,
        4.844384083248728,
        4.844403156783435,
        4.844421753479775,
        4.844440350176114,
        4.8444594237108225,
        4.844478020407162,
        4.844496617103502,
        4.844515690638209,
        4.8445342873345485,
        4.844552884030889,
        4.844571957565596,
        4.844590554261936,
        4.844609150958275,
        4.844627747654615,
        4.844646821189323,
        4.844665417885662,
        4.844684014582002,
        4.8447030881167095,
        4.844721684813049,
        4.844740281509389,
        4.844759355044096,
        4.844777951740436,
        4.844796548436776,
        4.844815145133116,
        4.844834218667823,
        4.844852815364162,
        4.8448714120605025,
        4.84489048559521,
        4.844909082291549,
        4.844927678987889,
        4.8449462756842285,
        4.844965349218937,
        4.844983945915276,
        4.845002542611616,
        4.845021139307955,
        4.845040212842663,
        4.845058809539003,
        4.845077406235342,
        4.845096002931682,
        4.8451150764663895,
        4.84513367316273,
        4.845152269859069,
        4.845170866555408,
        4.8451894632517485,
        4.845208536786456,
        4.845227133482796,
        4.845245730179135,
        4.845264326875475,
        4.845283400410183,
        4.845301997106522,
        4.845320593802862,
        4.845339190499201,
        4.8453577871955416,
        4.845376860730249,
        4.845395457426589,
        4.845414054122928,
        4.8454326508192676,
        4.845451247515608,
        4.845469844211947,
        4.845488917746655,
        4.845507514442994,
        4.845526111139335,
        4.845544707835674,
        4.845563304532014,
        4.845581901228353,
        4.845600974763061,
        4.845619571459401,
        4.84563816815574,
        4.84565676485208,
        4.84567536154842,
        4.84569395824476,
        4.845712554941099,
        4.845731628475806,
        4.8457502251721465,
        4.845768821868486,
        4.845787418564826,
        4.845806015261165,
        4.8458246119575055,
        4.845843208653845,
        4.845861805350185,
        4.845880402046524,
        4.845899475581232,
        4.845918072277572,
        4.845936668973911,
        4.845955265670251,
        4.8459738623665904,
        4.845992459062931,
        4.84601105575927,
        4.84602965245561,
        4.846048249151949,
        4.84606684584829,
        4.846085442544629,
        4.846104516079337,
        4.846123112775676,
        4.8461417094720165,
        4.846160306168356,
        4.846178902864696,
        4.846197499561035,
        4.846216096257375,
        4.846234692953715,
        4.846253289650054,
        4.846271886346394,
        4.846290483042734,
        4.846309079739074,
        4.846327676435413,
        4.846346273131753,
        4.846364869828093,
        4.846383466524433,
        4.846402063220772,
        4.846420659917112,
        4.8464392566134515,
        4.846457853309792,
        4.846476450006131,
        4.846495046702471,
        4.8465136433988105,
        4.846532240095151,
        4.84655083679149,
        4.84656943348783,
        4.8465880301841695,
        4.84660662688051,
        4.846625223576849,
        4.846643820273189,
        4.8466624169695285,
        4.846681013665869,
        4.846699610362208,
        4.846718207058547,
        4.8467368037548875,
        4.846755400451227,
        4.846773997147567,
        4.846792593843906,
        4.8468111905402465,
        4.846829787236586,
        4.846848383932926,
        4.846866980629265,
        4.846885577325605,
        4.846904174021945,
        4.846922770718285,
        4.846940890576256,
        4.8469594872725965,
        4.846978083968936,
        4.846996680665276,
        4.847015277361615,
        4.8470338740579555,
        4.847052470754295,
        4.847071067450635,
        4.847089664146974,
        4.8471082608433145,
        4.847126857539654,
        4.847145454235994,
        4.847163574093966,
        4.8471821707903056,
        4.847200767486645,
        4.847219364182985,
        4.847237960879324,
        4.8472565575756645,
        4.847275154272004,
        4.847293750968344,
        4.847311870826316,
        4.847330467522656,
        4.847349064218996,
        4.847367660915335,
        4.847386257611675,
        4.847904580917349,
        4.847922700775321,
        4.84794129747166,
        4.847959894168,
        4.84797849086434,
        4.847996610722312,
        4.848015207418652,
        4.8480338041149915,
        4.848052400811332,
        4.848070520669303,
        4.848089117365643,
        4.848107714061983,
        4.848126310758323,
        4.848144430616294,
        4.848163027312634,
        4.848181624008974,
        4.848200220705314,
        4.848218340563286,
        4.8482369372596255,
        4.848255533955966,
        4.848273653813937,
        4.848292250510277,
        4.8483108472066165,
        4.848329443902957,
        4.848347563760928,
        4.848366160457268,
        4.848384757153608,
        4.84840287701158,
        4.84842147370792,
        4.848440070404259,
        4.848458190262232,
        4.848476786958571,
        4.848495383654911,
        4.8485135035128835,
        4.848532100209223,
        4.848550696905563,
        4.848568816763534,
        4.8485874134598745,
        4.848606010156214,
        4.848624130014186,
        4.848642726710525,
        4.848661323406866,
        4.848679443264838,
        4.848698039961177,
        4.848716636657517,
        4.848734756515489,
        4.848753353211829,
        4.848771473069801,
        4.848790069766141,
        4.84880866646248,
        4.848826786320452,
        4.848845383016792,
        4.848863979713132,
        4.848882099571104,
        4.848900696267443,
        4.8489188161254155,
        4.848937412821756,
        4.848956009518095,
        4.848974129376067,
        4.848992726072407,
        4.849010845930379,
        4.849029442626718,
        4.849048039323058,
        4.849066159181031,
        4.84908475587737,
        4.849102875735342,
        4.849121472431682,
        4.849139592289654,
        4.849158188985994,
        4.849176785682333,
        4.849194905540306,
        4.849213502236645,
        4.849231622094617,
        4.8492502187909565,
        4.849268338648929,
        4.849286935345269,
        4.84930505520324,
        4.849323651899581,
        4.849341771757553,
        4.849360368453892,
        4.8493784883118645,
        4.849397085008204,
        4.849415681704544,
        4.849433801562516,
        4.8494523982588555,
        4.849470518116828,
        4.849489114813167,
        4.849507234671139,
        4.849525831367479,
        4.849543951225451,
        4.849562547921791,
        4.849580667779763,
        4.849599264476103,
        4.849617384334075,
        4.849635981030414,
        4.849654100888387,
        4.849672697584726,
        4.849690817442698,
        4.8497089373006705,
        4.84972753399701,
        4.849745653854982,
        4.849764250551321,
        4.849782370409294,
        4.849800967105634,
        4.849819086963605,
        4.8498376836599455,
        4.849855803517918,
        4.849874400214257,
        4.849892520072229,
        4.849910639930201,
        4.849929236626541,
        4.849947356484513,
        4.8499659531808526,
        4.849984073038825,
        4.850002669735164,
        4.850020789593136,
        4.850038909451109,
        4.850057506147448,
        4.85007562600542,
        4.85009422270176,
        4.850112342559732,
        4.850130939256072,
        4.8501490591140435,
        4.850167178972016,
        4.850185775668356,
        4.850203895526327,
        4.8502224922226675,
        4.85024061208064,
        4.850258731938611,
        4.850277328634951,
        4.850295448492923,
        4.850313568350895,
        4.850332165047235,
        4.850350284905207,
        4.850368881601547,
        4.850387001459519,
        4.850405121317491,
        4.850423718013831,
        4.850441837871803,
        4.8504599577297745,
        4.850478554426115,
        4.850496674284086,
        4.850514794142058,
        4.8505333908383985,
        4.85055151069637,
        4.850569630554342,
        4.850588227250682,
        4.850606347108654,
        4.850624466966626,
        4.850643063662966,
        4.850661183520938,
        4.85067930337891,
        4.850697900075249,
        4.8507160199332215,
        4.850734139791194,
        4.850752736487533,
        4.850770856345505,
        4.850788976203478,
        4.85080709606145,
        4.850825692757789,
        4.850843812615762,
        4.850861932473734,
        4.850880529170073,
        4.8508986490280455,
        4.850916768886017,
        4.850934888743989,
        4.850953485440329,
        4.853549393514008,
        4.85647432006139,
        4.856495777787936,
        4.85651771235285,
        4.856539170079396,
        4.856560627805941,
        4.856582562370854,
        4.8566040200974,
        4.856625954662314,
        4.85664741238886,
        4.856669346953773,
        4.856690804680319,
        4.856712262406865,
        4.856734196971779,
        4.856755654698325,
        4.856777589263238,
        4.856799046989784,
        4.85682050471633,
        4.856842439281243,
        4.856863897007789,
        4.856885831572702,
        4.856907289299248,
        4.856928747025794,
        4.856950681590708,
        4.856972139317254,
        4.856994073882167,
        4.857015531608713,
        4.857036989335259,
        4.857058923900173,
        4.8570803816267185,
        4.857101839353264,
        4.857123773918177,
        4.857145231644723,
        4.857166689371269,
        4.857188623936183,
        4.857210081662728,
        4.857231539389274,
        4.857253473954188,
        4.857274931680734,
        4.85729638940728,
        4.857318323972193,
        4.857339781698739,
        4.857361239425285,
        4.857382697151831,
        4.8574046317167445,
        4.85742608944329,
        4.857447547169836,
        4.857469481734749,
        4.857490939461295,
        4.857512397187841,
        4.857533854914387,
        4.8575557894793,
        4.857577247205846,
        4.857598704932392,
        4.857620639497306,
        4.857642097223851,
        4.857663554950397,
        4.857685012676943,
        4.857706947241857,
        4.857728404968403,
        4.8577498626949485,
        4.857771320421494,
        4.85779277814804,
        4.857814712712954,
        4.8578361704395,
        4.8578576281660455,
        4.857879085892591,
        4.857901020457505,
        4.857922478184051,
        4.857943935910597,
        4.8579653936371425,
        4.857986851363688,
        4.858008785928601,
        4.858030243655147,
        4.858051701381693,
        4.858073159108239,
        4.8580946168347845,
        4.858116074561331,
        4.858138009126244,
        4.85815946685279,
        4.858180924579336,
        4.8582023823058815,
        4.858223840032427,
        4.858245297758973,
        4.858267232323887,
        4.858288690050433,
        4.858310147776979,
        4.858761713711177,
        4.8587831714377225,
        4.858804629164268,
        4.858826086890814,
        4.85884754461736,
        4.858869002343906,
        4.858890460070452,
        4.8589119177969975,
        4.858933375523543,
        4.858954833250089,
        4.858976290976635,
        4.858997748703181,
        4.859019206429727,
        4.8590406641562724,
        4.859062121882818,
        4.859083579609364,
        4.85910503733591,
        4.859126495062456,
        4.859147952789002,
        4.859169410515547,
        4.859190868242093,
        4.859212325968639,
        4.859233783695185,
        4.859255241421731,
        4.8592766991482765,
        4.859298156874822,
        4.859319614601368,
        4.859341072327914,
        4.859362530054461,
        4.8593839877810066,
        4.859405445507552,
        4.859426903234098,
        4.859448360960644,
        4.85946981868719,
        4.859491276413736,
        4.8595127341402815,
        4.859534191866827,
        4.859555649593373,
        4.859577107319919,
        4.859598088208097,
        4.859619545934643,
        4.859641003661189,
        4.859662461387734,
        4.85968391911428,
        4.859705376840826,
        4.859726834567372,
        4.859748292293918,
        4.8597697500204635,
        4.859791207747009,
        4.859812188635187,
        4.859833646361733,
        4.859855104088279,
        4.859876561814825,
        4.859898019541371,
        4.859919477267916,
        4.859940934994462,
        4.859962392721008,
        4.859983373609187,
        4.860004831335733,
        4.8600262890622785,
        4.860047746788824,
        4.86006920451537,
        4.860090662241916,
        4.860111643130094,
        4.86013310085664,
        4.860154558583186,
        4.860176016309731,
        4.860197474036277,
        4.860218454924455,
        4.860239912651001,
        4.860261370377547,
        4.860282828104093,
        4.8603042858306384,
        4.860325266718817,
        4.860346724445363,
        4.860368182171909,
        4.860389639898455,
        4.860411097625001,
        4.8604320785131785,
        4.860453536239724,
        4.86047499396627,
        4.860496451692816,
        4.860517432580994,
        4.86053889030754,
        4.8605603480340855,
        4.860581805760631,
        4.86060278664881,
        4.860624244375356,
        4.860645702101902,
        4.860667159828448,
        4.860688140716626,
        4.860709598443171,
        4.860731056169717,
        4.860752513896263,
        4.860773494784441,
        4.860794952510987,
        4.860816410237533,
        4.8608373911257114,
        4.860858848852257,
        4.860880306578803,
        4.860901764305349,
        4.860922745193527,
        4.860944202920073,
        4.8609656606466185,
        4.860986641534796,
        4.861008099261342,
        4.861029556987888,
        4.861050537876067,
        4.861071995602613,
        4.8610934533291585,
        4.8611144342173365,
        4.861135891943882,
        4.861157349670428,
        4.861178330558606,
        4.861199788285152,
        4.86122076917333,
        4.861242226899876,
        4.861263684626421,
        4.8612846655146,
        4.861306123241146,
        4.861327580967692,
        4.86134856185587,
        4.861370019582416,
        4.861391000470594,
        4.861412458197139,
        4.861433915923685,
        4.861454896811864,
        4.86147635453841,
        4.861497335426588,
        4.861518793153134,
        4.8615402508796794,
        4.861561231767857,
        4.861582689494403,
        4.861603670382581,
        4.861625128109127,
        4.861646108997306,
        4.861667566723852,
        4.861689024450397,
        4.861710005338575,
        4.861731463065121,
        4.861752443953299,
        4.861773901679845,
        4.861794882568024,
        4.8618163402945695,
        4.8618373211827475,
        4.861858778909293,
        4.861879759797471,
        4.861901217524017,
        4.861922198412195,
        4.861943656138741,
        4.862389023174159,
        4.862410004062338,
        4.8624314617888835,
        4.8624524426770614,
        4.862473900403607,
        4.862494881291785,
        4.862515862179963,
        4.86253731990651,
        4.862558300794688,
        4.862579758521234,
        4.8626007394094115,
        4.862621720297589,
        4.862643178024135,
        4.862664158912314,
        4.86268561663886,
        4.862706597527038,
        4.862727578415216,
        4.862749036141762,
        4.8627700170299395,
        4.862791474756485,
        4.862812455644664,
        4.862833436532842,
        4.862854894259388,
        4.862875875147566,
        4.862896856035744,
        4.86291831376229,
        4.862939294650468,
        4.862960275538646,
        4.862981733265192,
        4.86300271415337,
        4.863023695041549,
        4.863045152768095,
        4.863066133656273,
        4.8630871145444505,
        4.863108572270996,
        4.863129553159174,
        4.863150534047353,
        4.863171991773899,
        4.863192972662077,
        4.863213953550255,
        4.863234934438433,
        4.8632563921649785,
        4.863277373053157,
        4.863298353941335,
        4.863319811667881,
        4.863340792556059,
        4.863361773444238,
        4.863382754332416,
        4.863404212058962,
        4.8634251929471395,
        4.863446173835317,
        4.863467154723496,
        4.863488612450042,
        4.86350959333822,
        4.863530574226398,
        4.863551555114576,
        4.863573012841122,
        4.8635939937293005,
        4.863614974617478,
        4.863635955505656,
        4.863656936393834,
        4.86367839412038,
        4.863699375008559,
        4.863720355896737,
        4.863741336784915,
        4.863762317673093,
        4.863783775399639,
        4.863804756287817,
        4.863825737175995,
        4.863846718064173,
        4.863867698952352,
        4.863889156678898,
        4.863910137567076,
        4.863931118455254,
        4.8639520993434315,
        4.86397308023161,
        4.863994061119788,
        4.864015518846334,
        4.864036499734512,
        4.86405748062269,
        4.864078461510869,
        4.864099442399047,
        4.864120423287225,
        4.8641414041754025,
        4.864162861901948,
        4.864183842790127,
        4.864204823678305,
        4.864225804566483,
        4.864246785454662,
        4.86426776634284,
        4.864288747231018,
        4.864309728119196,
        4.864331185845741,
        4.86435216673392,
        4.864373147622098,
        4.864394128510276,
        4.864415109398454,
        4.864436090286633,
        4.864457071174811,
        4.864478052062989,
        4.864499032951167,
        4.864520013839345,
        4.864540994727523,
        4.864561975615701,
        4.864582956503879,
        4.864604414230425,
        4.864625395118604,
        4.864646376006782,
        4.86466735689496,
        4.8646883377831385,
        4.864709318671316,
        4.864730299559494,
        4.864751280447672,
        4.864772261335851,
        4.864793242224029,
        4.864814223112207,
        4.864835204000385,
        4.864856184888564,
        4.864877165776742,
        4.8648981466649195,
        4.864919127553097,
        4.864940108441276,
        4.864961089329454,
        4.864982070217632,
        4.86500305110581,
        4.865024031993989,
        4.865045012882167,
        4.865065993770345,
        4.865086974658523,
        4.865107955546701,
        4.865128936434879,
        4.865149917323057,
        4.865170898211236,
        4.865191879099414,
        4.865212859987592,
        4.86523384087577,
        4.865254344925581,
        4.865275325813759,
        4.865296306701937,
        4.865317287590115,
        4.865338268478293,
        4.865359249366471,
        4.865380230254649,
        4.865401211142828,
        4.865422192031006,
        4.865443172919184,
        4.865464153807362,
        4.865485134695541,
        4.8655061155837185,
        4.8655266196335285,
        4.865547600521707,
        4.865568581409885,
        4.865589562298063,
        4.865986768658345,
        4.866007749546523,
        4.866028730434701,
        4.86604971132288,
        4.86607021537269,
        4.866091196260868,
        4.866112177149047,
        4.866133158037225,
        4.866154138925403,
        4.8661746429752135,
        4.866195623863391,
        4.866216604751569,
        4.866237585639748,
        4.866258566527926,
        4.866279070577736,
        4.866300051465915,
        4.866321032354093,
        4.866342013242271,
        4.866362517292082,
        4.86638349818026,
        4.8664044790684375,
        4.8664254599566155,
        4.866445964006426,
        4.866466944894604,
        4.866487925782782,
        4.866508906670961,
        4.866529410720771,
        4.866550391608949,
        4.866571372497128,
        4.866591876546938,
        4.866612857435116,
        4.8666338383232945,
        4.8666548192114725,
        4.8666753232612825,
        4.866696304149461,
        4.866717285037639,
        4.86673778908745,
        4.866758769975628,
        4.866779750863806,
        4.866800254913617,
        4.866821235801795,
        4.866842216689973,
        4.866862720739784,
        4.866883701627962,
        4.8669046825161395,
        4.86692518656595,
        4.866946167454128,
        4.866967148342306,
        4.866987652392117,
        4.867008633280295,
        4.867029614168473,
        4.867050118218284,
        4.867071099106462,
        4.867091603156272,
        4.867112584044451,
        4.867133564932629,
        4.867154068982439,
        4.867175049870617,
        4.867196030758795,
        4.867216534808605,
        4.867237515696784,
        4.867258019746594,
        4.867279000634772,
        4.867299981522951,
        4.867320485572761,
        4.86734146646094,
        4.86736197051075,
        4.867382951398928,
        4.867403455448739,
        4.867424436336917,
        4.8674454172250945,
        4.867465921274905,
        4.867486902163083,
        4.867507406212894,
        4.867528387101072,
        4.867548891150882,
        4.867569872039061,
        4.867590376088871,
        4.867611356977049,
        4.867632337865228,
        4.867652841915038,
        4.867673822803216,
        4.867694326853027,
        4.8677153077412045,
        4.867735811791015,
        4.867756792679193,
        4.867777296729003,
        4.867798277617182,
        4.867818781666992,
        4.86783976255517,
        4.867860266604981,
        4.867881247493159,
        4.86790175154297,
        4.867922732431148,
        4.867943236480959,
        4.867964217369137,
        4.867984721418947,
        4.8680057023071255,
        4.8680262063569355,
        4.868047187245113,
        4.868067691294924,
        4.868088195344734,
        4.868109176232913,
        4.868129680282723,
        4.868150661170901,
        4.868171165220712,
        4.86819214610889,
        4.868212650158701,
        4.868233631046879,
        4.868254135096689,
        4.8682746391465,
        4.868295620034678,
        4.8683161240844885,
        4.8683371049726665,
        4.8683576090224765,
        4.868378113072287,
        4.868399093960465,
        4.868419598010276,
        4.868440578898454,
        4.868461082948264,
        4.868481586998075,
        4.868502567886253,
        4.868523071936064,
        4.868544052824242,
        4.868564556874052,
        4.868585060923863,
        4.868606041812041,
        4.868626545861852,
        4.868647049911662,
        4.8686680307998405,
        4.8686885348496505,
        4.868709038899461,
        4.868730019787639,
        4.868750523837449,
        4.868771504725628,
        4.868792008775438,
        4.868812512825249,
        4.868833493713427,
        4.868853997763237,
        4.868874501813048,
        4.868895005862858,
        4.868915986751037,
        4.868936490800847,
        4.868956994850658,
        4.868977975738836,
        4.868998479788646,
        4.8690189838384565,
        4.8690399647266345,
        4.869060468776445,
        4.869080972826255,
        4.869101476876066,
        4.869122457764244,
        4.869142961814054,
        4.869163465863865,
        4.869184446752043,
        4.869204950801854,
        4.869225454851664,
        4.869245958901475,
        4.869266939789653,
        4.869616939151534,
        4.869637920039712,
        4.869658424089523,
        4.869678928139333,
        4.869699432189144,
        4.869719936238954,
        4.869740917127132,
        4.869761421176943,
        4.869781925226753,
        4.869802429276564,
        4.869822933326374,
        4.8698434373761845,
        4.8698639414259945,
        4.869884922314173,
        4.869905426363983,
        4.869925930413794,
        4.869946434463604,
        4.869966938513415,
        4.869987442563225,
        4.870007946613036,
        4.870028927501214,
        4.870049431551024,
        4.870069935600835,
        4.870090439650645,
        4.870110943700456,
        4.870131447750266,
        4.870151951800077,
        4.870172455849887,
        4.870192959899698,
        4.870213940787876,
        4.870234444837687,
        4.870254948887497,
        4.870275452937308,
        4.870295956987118,
        4.8703164610369285,
        4.8703369650867385,
        4.870357469136549,
        4.8703779731863595,
        4.87039847723617,
        4.87041898128598,
        4.870439485335791,
        4.870459989385601,
        4.870480493435412,
        4.870500997485222,
        4.870521978373401,
        4.870542482423211,
        4.870562986473022,
        4.870583490522832,
        4.870603994572643,
        4.870624498622453,
        4.870645002672264,
        4.870665506722074,
        4.870686010771885,
        4.870706514821695,
        4.870727018871506,
        4.870747522921316,
        4.870768026971127,
        4.870788531020937,
        4.870809035070748,
        4.870829539120558,
        4.8708500431703685,
        4.8708705472201785,
        4.8708910512699894,
        4.8709115553197995,
        4.87093205936961,
        4.87095256341942,
        4.870973067469231,
        4.870993094680673,
        4.871013598730484,
        4.871034102780294,
        4.871054606830105,
        4.871075110879915,
        4.871095614929726,
        4.871116118979536,
        4.871136623029347,
        4.871157127079157,
        4.871177631128968,
        4.871198135178778,
        4.871218639228589,
        4.8712391432784,
        4.87125964732821,
        4.871280151378021,
        4.871300178589463,
        4.871320682639274,
        4.871341186689084,
        4.871361690738895,
        4.871382194788705,
        4.871402698838516,
        4.871423202888326,
        4.871443706938137,
        4.871464210987947,
        4.87148423819939,
        4.871504742249201,
        4.871525246299011,
        4.8715457503488215,
        4.871566254398632,
        4.8715867584484425,
        4.8716072624982525,
        4.8716272897096955,
        4.8716477937595055,
        4.871668297809316,
        4.8716888018591264,
        4.871709305908937,
        4.871729809958747,
        4.871750314008558,
        4.871770341220001,
        4.871790845269811,
        4.871811349319622,
        4.871831853369432,
        4.871852357419243,
        4.871872384630685,
        4.871892888680496,
        4.871913392730306,
        4.871933896780117,
        4.871954400829927,
        4.87197442804137,
        4.871994932091181,
        4.872015436140991,
        4.872035940190802,
        4.872056444240612,
        4.872076471452055,
        4.872096975501865,
        4.872117479551676,
        4.872137983601486,
        4.872158010812929,
        4.87217851486274,
        4.87219901891255,
        4.872219522962361,
        4.872239550173803,
        4.872260054223614,
        4.872280558273424,
        4.872301062323235,
        4.872321089534678,
        4.872341593584488,
        4.872362097634299,
        4.872382601684109,
        4.872402628895552,
        4.872423132945362,
        4.872443636995173,
        4.872463664206616,
        4.872484168256426,
        4.872504672306237,
        4.872524699517679,
        4.87254520356749,
        4.872565707617301,
        4.872586211667111,
        4.872606238878554,
        4.872626742928364,
        4.8726472469781745,
        4.8726672741896175,
        4.872687778239428,
        4.8727082822892385,
        4.872728309500681,
        4.8727488135504915,
        4.8727693176003015,
        4.8727893448117445,
        4.872809848861555,
        4.8728303529113655,
        4.8728503801228085,
        4.8728708841726185,
        4.8728909113840615,
        4.872911415433872,
        4.873236619200633,
        4.873256646412076,
        4.873277150461886,
        4.873297177673329,
        4.87331768172314,
        4.87333818577295,
        4.873358212984393,
        4.873378717034203,
        4.873398744245646,
        4.873419248295457,
        4.873439275506899,
        4.87345977955671,
        4.873479806768153,
        4.873500310817963,
        4.873520338029406,
        4.873540842079216,
        4.873560869290659,
        4.87358137334047,
        4.873601400551912,
        4.873621904601723,
        4.873642408651533,
        4.873662435862976,
        4.873682939912787,
        4.873702967124229,
        4.873722994335672,
        4.873743498385483,
        4.873763525596925,
        4.873784029646736,
        4.873804056858179,
        4.873824560907989,
        4.873844588119432,
        4.873865092169242,
        4.873885119380685,
        4.873905623430496,
        4.873925650641938,
        4.873946154691749,
        4.873966181903192,
        4.873986685953002,
        4.874006713164445,
        4.874026740375888,
        4.874047244425698,
        4.874067271637141,
        4.874087775686951,
        4.874107802898394,
        4.874128306948205,
        4.874148334159647,
        4.87416836137109,
        4.874188865420901,
        4.8742088926323435,
        4.874229396682154,
        4.874249423893597,
        4.874269927943407,
        4.87428995515485,
        4.874309982366293,
        4.8743304864161034,
        4.8743505136275465,
        4.8743705408389895,
        4.8743910448887995,
        4.8744110721002425,
        4.8744315761500525,
        4.8744516033614955,
        4.8744716305729385,
        4.8744921346227486,
        4.874512161834192,
        4.874532189045635,
        4.874552693095445,
        4.874572720306888,
        4.874592747518331,
        4.874613251568141,
        4.874633278779584,
        4.874653305991027,
        4.874673810040837,
        4.87469383725228,
        4.874713864463723,
        4.874734368513533,
        4.874754395724976,
        4.874774422936419,
        4.874794926986229,
        4.874814954197672,
        4.874834981409115,
        4.874855485458925,
        4.874875512670368,
        4.874895539881811,
        4.874915567093254,
        4.874936071143064,
        4.874956098354507,
        4.87497612556595,
        4.87499662961576,
        4.875016656827203,
        4.875036684038646,
        4.875056711250088,
        4.875077215299899,
        4.875097242511342,
        4.875117269722784,
        4.875137296934227,
        4.875157800984038,
        4.875177828195481,
        4.875197855406923,
        4.875217882618366,
        4.875238386668177,
        4.875258413879619,
        4.875278441091062,
        4.875298468302505,
        4.875318972352315,
        4.875338999563758,
        4.875359026775201,
        4.875379053986644,
        4.875399081198086,
        4.875419585247897,
        4.87543961245934,
        4.875459639670782,
        4.875479666882225,
        4.875499694093668,
        4.875520198143478,
        4.875540225354921,
        4.875560252566364,
        4.875580279777807,
        4.8756003069892495,
        4.8756203342006925,
        4.875640838250503,
        4.8756608654619455,
        4.8756808926733886,
        4.875700919884832,
        4.875720947096275,
        4.875740974307717,
        4.875761478357528,
        4.875781505568971,
        4.875801532780413,
        4.875821559991856,
        4.875841587203299,
        4.875861614414742,
        4.875881641626184,
        4.875901668837627,
        4.875922172887438,
        4.87594220009888,
        4.875962227310323,
        4.875982254521766,
        4.876002281733209,
        4.876022308944651,
        4.876042336156094,
        4.876062363367537,
        4.87608239057898,
        4.876102417790422,
        4.876122921840233,
        4.876142949051676,
        4.876162976263118,
        4.876183003474561,
        4.876203030686004,
        4.876223057897447,
        4.876243085108889,
        4.876263112320332,
        4.876283139531775,
        4.876303166743218,
        4.8763231939546605,
        4.8763432211661035,
        4.8763632483775465,
        4.876383275588989,
        4.876403302800432,
        4.876423330011875,
        4.876443357223318,
        4.87646338443476,
        4.876483888484571,
        4.876503915696014,
        4.876523942907456,
        4.876543970118899,
        4.876563997330342,
        4.8768639286636155,
        4.8768839558750585,
        4.8769039830865015,
        4.8769240102979445,
        4.876944037509387,
        4.87696406472083,
        4.876984091932273,
        4.877004119143716,
        4.877024146355158,
        4.877044173566601,
        4.877064200778044,
        4.877084227989487,
        4.877104255200929,
        4.877123805574004,
        4.877143832785447,
        4.87716385999689,
        4.877183887208333,
        4.877203914419775,
        4.877223941631218,
        4.877243968842661,
        4.877263996054104,
        4.877284023265546,
        4.877304050476989,
        4.8773236008500644,
        4.8773436280615075,
        4.8773636552729505,
        4.877383682484393,
        4.877403709695836,
        4.877423736907279,
        4.877443764118722,
        4.877463314491797,
        4.877483341703239,
        4.877503368914682,
        4.877523396126125,
        4.877543423337568,
        4.87756345054901,
        4.877583477760453,
        4.877603028133528,
        4.877623055344971,
        4.877643082556414,
        4.877663109767856,
        4.877683136979299,
        4.877702687352374,
        4.877722714563817,
        4.87774274177526,
        4.8777627689867025,
        4.8777827961981455,
        4.877802346571221,
        4.877822373782664,
        4.877842400994107,
        4.877862428205549,
        4.877882455416992,
        4.877902005790067,
        4.87792203300151,
        4.877942060212953,
        4.877962087424395,
        4.877982114635838,
        4.878001665008913,
        4.878021692220356,
        4.878041719431799,
        4.878061746643241,
        4.878081297016316,
        4.878101324227759,
        4.878121351439202,
        4.878141378650645,
        4.8781609290237204,
        4.878180956235163,
        4.878200983446606,
        4.878220533819681,
        4.878240561031124,
        4.878260588242567,
        4.878280615454009,
        4.878300165827084,
        4.878320193038527,
        4.87834022024997,
        4.878359770623045,
        4.878379797834488,
        4.87839982504593,
        4.878419852257373,
        4.878439402630448,
        4.878459429841891,
        4.878479457053334,
        4.878499007426409,
        4.8785190346378515,
        4.8785390618492945,
        4.87855861222237,
        4.878578639433813,
        4.878598666645256,
        4.878618217018331,
        4.878638244229773,
        4.878658271441216,
        4.878677821814291,
        4.878697849025734,
        4.878717876237177,
        4.878737426610252,
        4.878757453821694,
        4.878777004194769,
        4.878797031406212,
        4.878817058617655,
        4.8788366089907305,
        4.8788566362021735,
        4.878876663413616,
        4.878896213786691,
        4.878916240998134,
        4.878935791371209,
        4.878955818582652,
        4.878975845794094,
        4.878995396167169,
        4.879015423378612,
        4.879034973751687,
        4.87905500096313,
        4.879075028174573,
        4.879094578547648,
        4.87911460575909,
        4.8791341561321655,
        4.8791541833436085,
        4.879173733716684,
        4.879193760928127,
        4.87921378813957,
        4.879233338512645,
        4.879253365724087,
        4.879272916097162,
        4.879292943308605,
        4.87931249368168,
        4.879332520893123,
        4.879352071266198,
        4.879372098477641,
        4.879391648850716,
        4.879411676062158,
        4.8794312264352335,
        4.8794512536466765,
        4.879470804019752,
        4.879490831231195,
        4.879510858442638,
        4.879530408815713,
        4.879550436027155,
        4.87956998640023,
        4.879590013611673,
        4.879609563984748,
        4.879629114357823,
        4.879649141569266,
        4.879668691942341,
        4.879688719153784,
        4.879708269526859,
        4.8797282967383016,
        4.879747847111377,
        4.87976787432282,
        4.879787424695895,
        4.879807451907338,
        4.879827002280413,
        4.879847029491856,
        4.879866579864931,
        4.879886607076373,
        4.879906157449448,
        4.879925707822523,
        4.879945735033966,
        4.879965285407041,
        4.8799853126184844,
        4.8800048629915596,
        4.880024890203003,
        4.880044440576078,
        4.880063990949153,
        4.880084018160595,
        4.88010356853367,
        4.880123595745113,
        4.880143146118188,
        4.880162696491263,
        4.880182723702706,
        4.880202274075781,
        4.880222301287224,
        4.8804983907021136,
        4.880517941075189,
        4.880537491448264,
        4.880557518659707,
        4.880577069032782,
        4.880596619405857,
        4.8806166466173,
        4.880636196990375,
        4.88065574736345,
        4.880675774574892,
        4.880695324947967,
        4.8807148753210425,
        4.880734425694118,
        4.880754452905561,
        4.880774003278636,
        4.880793553651711,
        4.880813580863154,
        4.880833131236229,
        4.880852681609304,
        4.880872708820747,
        4.880892259193822,
        4.880911809566897,
        4.880931359939972,
        4.8809513871514145,
        4.88097093752449,
        4.880990487897565,
        4.88101003827064,
        4.881030065482083,
        4.881049615855158,
        4.881069166228233,
        4.881088716601308,
        4.881108743812751,
        4.881128294185826,
        4.881147844558901,
        4.8811673949319765,
        4.881186945305052,
        4.881206972516495,
        4.881226522889569,
        4.881246073262644,
        4.881265623635719,
        4.881285650847162,
        4.881305201220237,
        4.881324751593312,
        4.881344301966387,
        4.8813638523394625,
        4.8813838795509055,
        4.881403429923981,
        4.881422980297056,
        4.881442530670131,
        4.881462081043206,
        4.881481631416281,
        4.881501658627724,
        4.881521209000799,
        4.881540759373874,
        4.881560309746949,
        4.881579860120024,
        4.8815994104930995,
        4.881619437704542,
        4.881638988077617,
        4.881658538450692,
        4.881678088823767,
        4.881697639196842,
        4.881717189569917,
        4.881736739942992,
        4.881756767154435,
        4.88177631752751,
        4.8817958679005855,
        4.881815418273661,
        4.881834968646736,
        4.881854519019811,
        4.881874069392886,
        4.881893619765961,
        4.881913170139036,
        4.881933197350479,
        4.881952747723554,
        4.881972298096629,
        4.8819918484697045,
        4.88201139884278,
        4.882030949215855,
        4.88205049958893,
        4.882070049962005,
        4.88208960033508,
        4.882109150708155,
        4.88212870108123,
        4.882148251454305,
        4.88216780182738,
        4.8821878290388225,
        4.882207379411898,
        4.882226929784973,
        4.882246480158048,
        4.882266030531123,
        4.882285580904198,
        4.882305131277273,
        4.882324681650348,
        4.882344232023423,
        4.8823637823964985,
        4.882383332769574,
        4.882402883142649,
        4.882422433515724,
        4.882441983888799,
        4.882461534261874,
        4.882481084634949,
        4.882500635008024,
        4.882520185381099,
        4.882539735754174,
        4.8825592861272495,
        4.882578836500325,
        4.8825983868734,
        4.882617937246475,
        4.88263748761955,
        4.882657037992625,
        4.8826765883657,
        4.882696138738775,
        4.88271568911185,
        4.8827352394849255,
        4.882754789858001,
        4.882774340231076,
        4.882793890604151,
        4.882813440977226,
        4.882832514511933,
        4.882852064885008,
        4.882871615258083,
        4.882891165631158,
        4.8829107160042335,
        4.882930266377309,
        4.882949816750384,
        4.882969367123459,
        4.882988917496534,
        4.883008467869609,
        4.883028018242684,
        4.883047568615759,
        4.883067118988834,
        4.8830861925235425,
        4.883105742896618,
        4.883125293269693,
        4.883144843642768,
        4.883164394015843,
        4.883183944388918,
        4.883203494761993,
        4.883223045135068,
        4.883242595508143,
        4.8832616690428505,
        4.883281219415926,
        4.883300769789001,
        4.883320320162076,
        4.883339870535151,
        4.883359420908226,
        4.883378971281301,
        4.883398044816008,
        4.8834175951890835,
        4.883437145562159,
        4.883456695935234,
        4.883476246308309,
        4.883495796681384,
        4.883515347054459,
        4.883534420589166,
        4.883553970962241,
        4.883573521335316,
        4.8835930717083915,
        4.883612622081467,
        4.883631695616174,
        4.883651245989249,
        4.883670796362324,
        4.883690346735399,
        4.883709897108474,
        4.883728970643182,
        4.8837485210162574,
        4.8837680713893326,
        4.883787621762408,
        4.883807172135483,
        4.88382624567019,
        4.883845796043265,
        4.88386534641634,
        4.884098520378138,
        4.884118070751213,
        4.884137144285921,
        4.884156694658996,
        4.884176245032071,
        4.884195795405146,
        4.8842148689398535,
        4.884234419312929,
        4.884253969686004,
        4.884273043220711,
        4.884292593593786,
        4.884312143966861,
        4.884331217501568,
        4.884350767874643,
        4.8843703182477185,
        4.884389868620794,
        4.884408942155502,
        4.884428492528577,
        4.884448042901652,
        4.884467116436359,
        4.884486666809434,
        4.884506217182509,
        4.8845252907172165,
        4.884544841090292,
        4.884564391463367,
        4.884583464998074,
        4.884603015371149,
        4.884622088905856,
        4.884641639278931,
        4.8846611896520065,
        4.8846802631867146,
        4.88469981355979,
        4.884719363932865,
        4.884738437467572,
        4.884757987840647,
        4.884777538213722,
        4.884796611748429,
        4.8848161621215045,
        4.884835235656212,
        4.884854786029287,
        4.884874336402362,
        4.88489340993707,
        4.884912960310145,
        4.884932033844852,
        4.884951584217927,
        4.8849711345910025,
        4.88499020812571,
        4.885009758498785,
        4.885028832033492,
        4.885048382406567,
        4.885067455941275,
        4.88508700631435,
        4.885106556687425,
        4.885125630222133,
        4.885145180595208,
        4.885164254129915,
        4.88518380450299,
        4.885202878037697,
        4.885222428410772,
        4.88524150194548,
        4.885261052318555,
        4.885280125853263,
        4.885299676226338,
        4.885318749761045,
        4.88533830013412,
        4.885357850507195,
        4.8853769240419025,
        4.885396474414978,
        4.885415547949685,
        4.88543509832276,
        4.885454171857468,
        4.885473722230543,
        4.88549279576525,
        4.885512346138325,
        4.885531419673033,
        4.885550970046108,
        4.885570043580815,
        4.88558959395389,
        4.885608667488598,
        4.885627741023305,
        4.88564729139638,
        4.885666364931088,
        4.885685915304163,
        4.88570498883887,
        4.885724539211945,
        4.885743612746652,
        4.885763163119727,
        4.8857822366544355,
        4.885801787027511,
        4.885820860562218,
        4.885839934096925,
        4.88585948447,
        4.885878558004707,
        4.885898108377782,
        4.8859171819124905,
        4.885936732285566,
        4.885955805820273,
        4.88597487935498,
        4.885994429728055,
        4.886013503262762,
        4.886033053635837,
        4.8860521271705455,
        4.886071677543621,
        4.886090751078328,
        4.886109824613035,
        4.88612937498611,
        4.886148448520817,
        4.8861675220555245,
        4.8861870724286,
        4.88659095452603,
        4.886610028060737,
        4.886629578433812,
        4.886648651968519,
        4.8866677255032265,
        4.886687275876302,
        4.88670634941101,
        4.886725422945717,
        4.886744496480424,
        4.886764046853499,
        4.886783120388206,
        4.8868021939229145,
        4.88682174429599,
        4.886840817830697,
        4.886859891365404,
        4.886878964900111,
        4.886898515273186,
        4.886917588807894,
        4.886936662342602,
        4.886955735877309,
        4.886975286250384,
        4.886994359785091,
        4.887013433319798,
        4.887032506854506,
        4.8870520572275815,
        4.887071130762289,
        4.887090204296996,
        4.887109277831703,
        4.887128828204778,
        4.887147901739486,
        4.8871669752741935,
        4.887186048808901,
        4.887205122343608,
        4.887224672716683,
        4.887243746251391,
        4.887262819786098,
        4.8872818933208055,
        4.887300966855513,
        4.887320517228588,
        4.887339590763296,
        4.887358664298003,
        4.88737773783271,
        4.8873968113674175,
        4.887416361740493,
        4.8874354352752,
        4.887454508809908,
        4.887473582344615,
        4.887492655879322,
        4.88751172941403,
        4.887530802948738,
        4.887722491972547,
        4.8877415655072545,
        4.887760639041962,
        4.887779712576669,
        4.887798786111377,
        4.887817859646084,
        4.887837410019159,
        4.8878564835538665,
        4.887875557088574,
        4.887894630623281,
        4.887913704157989,
        4.887932777692696,
        4.887951851227403,
        4.887970924762111,
        4.887989998296819,
        4.888009071831526,
        4.888028145366233,
        4.88804721890094,
        4.888066769274015,
        4.8880858428087235,
        4.888104916343431,
        4.888123989878138,
        4.888143063412845,
        4.888162136947553,
        4.88818121048226,
        4.888200284016968,
        4.888219357551675,
        4.888238431086382,
        4.88825750462109,
        4.888276578155797,
        4.8882956516905045,
        4.888314725225212,
        4.88833379875992,
        4.888352872294627,
        4.888371945829334,
        4.888391019364041,
        4.8884100928987495,
        4.888429166433457,
        4.888448239968164,
        4.888467313502871,
        4.888486387037579,
        4.888505460572286,
        4.888524534106994,
        4.888543607641701,
        4.888562681176409,
        4.888581754711116,
        4.888600828245823,
        4.8886199017805305,
        4.888638975315238,
        4.888658048849946,
        4.888677122384653,
        4.88869619591936,
        4.888715269454067,
        4.8887343429887755,
        4.888753416523483,
        4.88877249005819,
        4.888791563592897,
        4.888810637127605,
        4.888829710662312,
        4.888848307358652,
        4.88886738089336,
        4.888886454428067,
        4.888905527962774,
        4.888924601497481,
        4.888943675032189,
        4.888962748566897,
        4.888981822101604,
        4.889000895636311,
        4.889019969171018,
        4.889039042705726,
        4.889058116240434,
        4.889076712936773,
        4.889095786471481,
        4.889114860006188,
        4.889133933540895,
        4.889153007075603,
        4.889172080610311,
        4.889191154145018,
        4.889210227679725,
        4.889228824376065,
        4.8892478979107725,
        4.88926697144548,
        4.889286044980187,
        4.889305118514894,
        4.889324192049602,
        4.889343265584309,
        4.889361862280649,
        4.889380935815357,
        4.889400009350064,
        4.889419082884771,
        4.889438156419478,
        4.8894572299541865,
        4.889475826650526,
        4.889494900185233,
        4.889513973719941,
        4.889533047254648,
        4.8895521207893555,
        4.889571194324063,
        4.889589791020403,
        4.88960886455511,
        4.889627938089817,
        4.8896470116245245,
        4.889666085159233,
        4.889684681855572,
        4.889703755390279,
        4.889722828924987,
        4.889741902459694,
        4.889760975994402,
        4.889779572690742,
        4.889798646225449,
        4.889817719760156,
        4.889836793294863,
        4.889855389991204,
        4.889874463525911,
        4.889893537060618,
        4.889912610595326,
        4.889931207291665,
        4.889950280826373,
        4.889969354361081,
        4.889988427895788,
        4.890007024592127,
        4.890026098126834,
        4.8900451716615425,
        4.89006424519625,
        4.890082841892589,
        4.890101915427297,
        4.890120988962004,
        4.8901400624967115,
        4.890158659193052,
        4.890177732727759,
        4.890196806262466,
        4.890215402958806,
        4.8902344764935135,
        4.890253550028221,
        4.890272146724561,
        4.890291220259268,
        4.890310293793975,
        4.8903293673286825,
        4.890347964025023,
        4.89036703755973,
        4.890386111094437,
        4.890404707790777,
        4.8904237813254845,
        4.890442854860192,
        4.890461451556532,
        4.890480525091239,
        4.890499598625946,
        4.8905181953222865,
        4.890537268856994,
        4.890556342391701,
        4.890574939088041,
        4.890594012622748,
        4.890612609319088,
        4.890631682853795,
        4.890650756388503,
        4.890669353084842,
        4.890688426619549,
        4.8907075001542575,
        4.890726096850597,
        4.890745170385304,
        4.890763767081644,
        4.890782840616351,
        4.890801914151059,
        4.890820510847399,
        4.890839584382106,
        4.890858181078446,
        4.890877254613153,
        4.890896328147861,
        4.890914924844201,
        4.890933998378908,
        4.890952595075247,
        4.8909716686099545,
        4.890990742144663,
        4.891009338841002,
        4.891028412375709,
        4.891047009072049,
        4.8910660826067565,
        4.891084679303097,
        4.891103752837804,
        4.891122826372511,
        4.891141423068851,
        4.8911604966035584,
        4.891348847758794,
        4.891367444455134,
        4.891386517989841,
        4.891405114686181,
        4.891424188220888,
        4.891442784917228,
        4.891461858451936,
        4.891480455148275,
        4.891499528682982,
        4.8915181253793225,
        4.89153719891403,
        4.891555795610369,
        4.891574869145077,
        4.891593465841416,
        4.891612539376124,
        4.891631136072464,
        4.891650209607171,
        4.891668806303511,
        4.891687879838218,
        4.891706476534558,
        4.891725550069266,
        4.891744146765605,
        4.891762743461945,
        4.8917818169966525,
        4.891800413692992,
        4.8918194872277,
        4.891838083924039,
        4.891875754155087,
        4.891894827689794,
        4.891932021082473,
        4.893019689399163,
        4.8930387629338705,
        4.893057359630211,
        4.89309455302289,
        4.8931131497192295,
        4.893132223253938,
        4.893150819950277,
        4.893169416646617,
        4.893188013342956,
        4.893207086877664,
        4.893225683574004,
        4.893244280270343,
        4.893262876966683,
        4.893281473663023,
        4.89330054719773,
        4.89331914389407,
        4.893337740590409,
        4.8933563372867495,
        4.893374933983089,
        4.893393530679429,
        4.893412604214136,
        4.893431200910476,
        4.893449797606816,
        4.893468394303156,
        4.893486990999495,
        4.893505587695834,
        4.8935246612305425,
        4.893543257926882,
        4.893561854623222,
        4.893580451319561,
        4.8935990480159015,
        4.893617644712241,
        4.893636241408581,
        4.893655314943288,
        4.8936739116396275,
        4.893692508335968,
        4.893711105032307,
        4.893729701728647,
        4.8937482984249865,
        4.893766895121327,
        4.893785491817666,
        4.893804565352373,
        4.893823162048713,
        4.893841758745053,
        4.893860355441393,
        4.893878952137732,
        4.893897548834072,
        4.893916145530412,
        4.893934742226752,
        4.893953338923091,
        4.893971935619431,
        4.893990532315771,
        4.894009605850479,
        4.894028202546818,
        4.894046799243157,
        4.8940653959394975,
        4.894083992635837,
        4.894102589332177,
        4.894121186028516,
        4.8941397827248565,
        4.894158379421196,
        4.894176976117536,
        4.894195572813875,
        4.8942141695102155,
        4.894232766206555,
        4.894251362902895,
        4.894269959599234,
        4.8942885562955745,
        4.894307152991914,
        4.894325749688254,
        4.894344346384593,
        4.8943629430809334,
        4.894381539777273,
        4.894400136473613,
        4.894418733169952,
        4.894437329866292,
        4.894455926562632,
        4.894474523258972,
        4.894493119955311,
        4.894511716651651,
        4.894530313347991,
        4.89454891004433,
        4.89456750674067,
        4.8945861034370095,
        4.89460470013335,
        4.894623296829689,
        4.894641893526029,
        4.8946604902223685,
        4.894679086918709,
        4.894697683615048,
        4.894716280311388,
        4.8947348770077275,
        4.894753473704068,
        4.894772070400407,
        4.894790667096747,
        4.8948092637930865,
        4.894976157221777,
        4.894994753918116,
        4.895013350614456,
        4.8950319473107955,
        4.895050544007136,
        4.895069140703475,
        4.895087737399815,
        4.895105857257787,
        4.895124453954127,
        4.895143050650466,
        4.895161647346806,
        4.895180244043146,
        4.895198840739486,
        4.895217437435825,
        4.895236034132165,
        4.895254153990137,
        4.895272750686477,
        4.895291347382816,
        4.895309944079156,
        4.895328540775496,
        4.895347137471836,
        4.895365734168175,
        4.895383854026147,
        4.895402450722488,
        4.895421047418827,
        4.895439644115167,
        4.895458240811506,
        4.895476837507847,
        4.895494957365818,
        4.895513554062158,
        4.8955321507584975,
        4.895550747454838,
        4.895569344151177,
        4.895587940847517,
        4.8956060607054885,
        4.895624657401829,
        4.895643254098168,
        4.895661850794508,
        4.8956804474908475,
        4.89569856734882,
        4.89571716404516,
        4.895735760741499,
        4.895754357437839,
        4.895772477295811,
        4.895791073992151,
        4.89580967068849,
        4.895828267384831,
        4.89584686408117,
        4.895864983939142,
        4.8958835806354815,
        4.895902177331822,
        4.895920774028161,
        4.895938893886133,
        4.8959574905824725,
        4.895976087278813,
        4.895994683975152,
        4.896012803833124,
        4.8960314005294645,
        4.896049997225804,
        4.896068593922144,
        4.896086713780115,
        4.896105310476456,
        4.896123907172795,
        4.896142027030767,
        4.896160623727107,
        4.896179220423447,
        4.896197817119786,
        4.896215936977758,
        4.896234533674098,
        4.896253130370438,
        4.89627125022841,
        4.896289846924749,
        4.8963084436210895,
        4.896327040317429,
        4.896345160175401,
        4.896363756871741,
        4.896382353568081,
        4.896400473426053,
        4.896419070122392,
        4.896437666818732,
        4.896455786676704,
        4.896474383373044,
        4.896492980069383,
        4.896511099927356,
        4.896529696623696,
        4.896548293320035,
        4.896566413178007,
        4.896585009874347,
        4.896603129732319,
        4.896621726428659,
        4.896640323124998,
        4.896658442982971,
        4.89667703967931,
        4.89669563637565,
        4.896713756233622,
        4.896732352929962,
        4.896750949626301,
        4.896769069484273,
        4.896787666180614,
        4.896805786038585,
        4.896824382734925,
        4.8968429794312645,
        4.896861099289237,
        4.896879695985576,
        4.896897815843548,
        4.8969164125398885,
        4.896935009236228,
        4.899558097096865,
        4.902549304177355,
        4.902571238742269,
        4.902593173307182,
        4.902615107872096,
        4.90263704243701,
        4.902658977001923,
        4.902680911566836,
        4.90270284613175,
        4.902724303858296,
        4.90274623842321,
        4.9027681729881225,
        4.902790107553036,
        4.90281204211795,
        4.902833976682864,
        4.902855911247777,
        4.90287784581269,
        4.902899303539236,
        4.90292123810415,
        4.9029431726690635,
        4.902965107233977,
        4.90298704179889,
        4.903008976363804,
        4.90303043409035,
        4.903052368655263,
        4.903074303220177,
        4.903096237785091,
        4.903118172350004,
        4.9031396300765495,
        4.903161564641463,
        4.903183499206377,
        4.903205433771291,
        4.9032273683362035,
        4.903248826062749,
        4.903270760627663,
        4.903292695192577,
        4.9033146297574906,
        4.903336087484036,
        4.90335802204895,
        4.903379956613863,
        4.903401891178777,
        4.9034233489053225,
        4.903445283470236,
        4.90346721803515,
        4.903489152600063,
        4.903510610326609,
        4.903532544891522,
        4.903554479456436,
        4.90357641402135,
        4.903597871747896,
        4.903619806312809,
        4.903641740877722,
        4.903663198604268,
        4.903685133169182,
        4.9037070677340955,
        4.903729002299009,
        4.903750460025555,
        4.903772394590468,
        4.903794329155382,
        4.903815786881927,
        4.903837721446841,
        4.903859656011755,
        4.903881113738301,
        4.903903048303214,
        4.903924982868127,
        4.903946440594673,
        4.903968375159587,
        4.903990309724501,
        4.904011767451046,
        4.90403370201596,
        4.904055636580873,
        4.90407709430742,
        4.9040990288723325,
        4.904120963437246,
        4.904142421163792,
        4.904164355728706,
        4.904185813455252,
        4.904207748020165,
        4.904229682585078,
        4.904251140311624,
        4.904273074876538,
        4.9042950094414515,
        4.904316467167997,
        4.904338401732911,
        4.904359859459457,
        4.904381794024371,
        4.904403728589283,
        4.904425186315829,
        4.904447120880743,
        4.904468578607289,
        4.9044905131722025,
        4.904511970898748,
        4.904533905463662,
        4.904555840028575,
        4.904577297755121,
        4.9045992323200345,
        4.90462069004658,
        4.904642624611494,
        4.90466408233804,
        4.904686016902954,
        4.904707474629499,
        4.904729409194413,
        4.904750866920959,
        4.904772801485872,
        4.904794259212418,
        4.904816193777331,
        4.904837651503877,
        4.904859586068791,
        4.904881043795337,
        4.9049029783602505,
        4.904924436086796,
        4.90494637065171,
        4.904967828378256,
        4.904989762943169,
        4.9050112206697145,
        4.905033155234628,
        4.905054612961174,
        4.905076547526088,
        4.905098005252634,
        4.905119939817547,
        4.905141397544093,
        4.905163332109007,
        4.905184789835553,
        4.905206724400466,
        4.905228182127011,
        4.905249639853557,
        4.905271574418471,
        4.905293032145017,
        4.9053149667099305,
        4.905336424436476,
        4.90535835900139,
        4.905379816727936,
        4.905401274454482,
        4.9054232090193945,
        4.905444666745941,
        4.905466601310854,
        4.9054880590374,
        4.905509516763946,
        4.9055314513288595,
        4.905552909055405,
        4.905574843620319,
        4.905596301346865,
        4.905617759073411,
        4.905639693638324,
        4.90566115136487,
        4.905683085929783,
        4.905704543656329,
        4.905726001382876,
        4.9057479359477885,
        4.905769393674334,
        4.90579085140088,
        4.905812785965794,
        4.90583424369234,
        4.9058557014188855,
        4.905877635983799,
        4.905899093710345,
        4.905920551436891,
        4.905942486001805,
        4.90596394372835,
        4.905985401454896,
        4.90600733601981,
        4.906028793746356,
        4.906050251472902,
        4.9060717091994475,
        4.90609364376436,
        4.906115101490906,
        4.906136559217452,
        4.906158493782366,
        4.9061799515089115,
        4.906201409235457,
        4.906222866962003,
        4.906244801526917,
        4.906266259253463,
        4.9062877169800085,
        4.906309651544922,
        4.906331109271468,
        4.906352566998014,
        4.90637402472456,
        4.9063959592894735,
        4.906417417016019,
        4.906438874742565,
        4.906460332469111,
        4.906482267034024,
        4.90650372476057,
        4.906525182487115,
        4.906546640213661,
        4.906568097940207,
        4.906590032505121,
        4.906611490231667,
        4.9066329479582125,
        4.906654405684758,
        4.906675863411304,
        4.906697797976218,
        4.906719255702764,
        4.9067407134293095,
        4.906762171155855,
        4.906783628882401,
        4.906805563447315,
        4.906827021173861,
        4.9068484789004065,
        4.906869936626952,
        4.906891394353498,
        4.906912852080044,
        4.906934786644958,
        4.906956244371504,
        4.906977702098049,
        4.906999159824595,
        4.907020617551141,
        4.907042075277687,
        4.907063533004233,
        4.9070849907307785,
        4.907106925295692,
        4.907128383022238,
        4.907149840748784,
        4.90717129847533,
        4.907192756201876,
        4.907214213928421,
        4.907235671654967,
        4.907257129381513,
        4.907278587108059,
        4.907300521672973,
        4.907321979399518,
        4.907343437126064,
        4.90736489485261,
        4.907386352579156,
        4.907407810305702,
        4.9074292680322475,
        4.907450725758793,
        4.907472183485339,
        4.907493641211885,
        4.907515098938431,
        4.907536556664977,
        4.9075580143915225,
        4.907579472118068,
        4.907600929844614,
        4.90762238757116,
        4.907644322136074,
        4.9076657798626195,
        4.907687237589165,
        4.907708695315711,
        4.9081802884613515,
        4.908201746187897,
        4.908223203914443,
        4.908244661640989,
        4.908266119367535,
        4.908287577094081,
        4.908309034820626,
        4.908330492547172,
        4.908351950273718,
        4.908372931161897,
        4.908394388888443,
        4.9084158466149885,
        4.908437304341534,
        4.90845876206808,
        4.908480219794626,
        4.908501677521172,
        4.908523135247718,
        4.9085445929742635,
        4.908565573862441,
        4.908587031588987,
        4.908608489315533,
        4.908629947042079,
        4.908651404768625,
        4.9086728624951705,
        4.908694320221716,
        4.908715301109894,
        4.90873675883644,
        4.908758216562986,
        4.908779674289533,
        4.9088011320160785,
        4.908822589742624,
        4.908843570630802,
        4.908865028357348,
        4.908886486083894,
        4.90890794381044,
        4.9089294015369855,
        4.908950859263531,
        4.908971840151709,
        4.908993297878255,
        4.909014755604801,
        4.909036213331347,
        4.909057671057893,
        4.9090786519460705,
        4.909100109672616,
        4.909121567399163,
        4.909143025125709,
        4.909164006013887,
        4.909185463740433,
        4.9092069214669785,
        4.909228379193524,
        4.90924983692007,
        4.909270817808248,
        4.909292275534794,
        4.90931373326134,
        4.9093351909878855,
        4.909356171876063,
        4.909377629602609,
        4.909399087329155,
        4.909420068217334,
        4.90944152594388,
        4.9094629836704256,
        4.909484441396971,
        4.909505422285149,
        4.909526880011695,
        4.909548337738241,
        4.909569318626419,
        4.909590776352965,
        4.9096122340795105,
        4.909633691806056,
        4.909654672694235,
        4.909676130420781,
        4.909697588147327,
        4.909718569035505,
        4.909740026762051,
        4.909761484488596,
        4.909782465376774,
        4.90980392310332,
        4.909825380829866,
        4.909846361718045,
        4.909867819444591,
        4.909889277171136,
        4.909910258059314,
        4.90993171578586,
        4.909953173512406,
        4.909974154400584,
        4.90999561212713,
        4.910016593015308,
        4.9100380507418535,
        4.910059508468399,
        4.910080489356578,
        4.910101947083124,
        4.910122927971302,
        4.910144385697848,
        4.9101658434243936,
        4.9101868243125715,
        4.910208282039117,
        4.910229262927296,
        4.910250720653842,
        4.910272178380388,
        4.910293159268566,
        4.9103146169951115,
        4.910335597883289,
        4.910357055609835,
        4.910378513336381,
        4.910399494224559,
        4.910420951951105,
        4.910441932839284,
        4.9104633905658295,
        4.910484371454007,
        4.910505829180553,
        4.910526810068731,
        4.910548267795277,
        4.910569248683456,
        4.910590706410002,
        4.910612164136547,
        4.910633145024725,
        4.910654602751271,
        4.910675583639449,
        4.910697041365995,
        4.910718022254173,
        4.910739479980719,
        4.9107604608688975,
        4.910781918595443,
        4.910802899483621,
        4.910824357210167,
        4.910845338098345,
        4.910866795824891,
        4.910887776713069,
        4.910908757601248,
        4.910930215327793,
        4.910951196215971,
        4.910972653942517,
        4.910993634830695,
        4.911015092557241,
        4.91103607344542,
        4.9110575311719655,
        4.9110785120601435,
        4.911099969786689,
        4.911120950674867,
        4.911141931563045,
        4.911163389289591,
        4.91118437017777,
        4.911205827904316,
        4.9112268087924935,
        4.911248266519039,
        4.911269247407217,
        4.911290228295395,
        4.911311686021941,
        4.91133266691012,
        4.911354124636666,
        4.911375105524844,
        4.9113960864130215,
        4.911417544139567,
        4.911438525027746,
        4.911459982754292,
        4.91148096364247,
        4.911501944530648,
        4.911523402257194,
        4.911544383145372,
        4.91156536403355,
        4.911586821760096,
        4.911607802648274,
        4.911628783536452,
        4.911650241262998,
        4.911671222151176,
        4.911692679877722,
        4.9117136607659,
        4.911734641654078,
        4.911756099380624,
        4.911777080268802,
        4.911798061156981,
        4.911819518883527,
        4.911840499771705,
        4.911861480659883,
        4.9118824615480605,
        4.911903919274606,
        4.911924900162785,
        4.911945881050963,
        4.911967338777509,
        4.911988319665687,
        4.912009300553865,
        4.912030758280411,
        4.912051739168589,
        4.912072720056767,
        4.912093700944945,
        4.912115158671491,
        4.91213613955967,
        4.912157120447848,
        4.912178101336026,
        4.9121995590625716,
        4.9122205399507495,
        4.912241520838928,
        4.912262501727106,
        4.912283959453652,
        4.91230494034183,
        4.912325921230008,
        4.912346902118187,
        4.9123683598447325,
        4.9123893407329104,
        4.912410321621088,
        4.912431302509266,
        4.912452283397445,
        4.912473741123991,
        4.912494722012169,
        4.912515702900347,
        4.912536683788525,
        4.9125576646767035,
        4.912579122403249,
        4.912600103291427,
        4.912621084179605,
        4.912642065067784,
        4.912663045955962,
        4.912684503682508,
        4.912705484570686,
        4.912726465458864,
        4.912747446347042,
        4.91276842723522,
        4.912789408123398,
        4.912810389011576,
        4.912831846738122,
        4.912852827626301,
        4.912873808514479,
        4.912894789402657,
        4.912915770290835,
        4.912936751179013,
        4.912957732067191,
        4.912979189793737,
        4.913000170681915,
        4.913021151570094,
        4.913042132458272,
        4.91306311334645,
        4.913084094234628,
        4.9131050751228065,
        4.913126056010984,
        4.913147036899162,
        4.91316801778734,
        4.913189475513886,
        4.913210456402065,
        4.913231437290243,
        4.913252418178421,
        4.913273399066599,
        4.9132943799547775,
        4.913315360842955,
        4.913336341731133,
        4.913357322619311,
        4.91337830350749,
        4.913399284395668,
        4.913420265283846,
        4.913441246172024,
        4.913462227060203,
        4.913483207948381,
        4.9135041888365585,
        4.913525169724737,
        4.913546627451283,
        4.913567608339461,
        4.913588589227639,
        4.913609570115817,
        4.913630551003996,
        4.913651531892174,
        4.9136725127803516,
        4.9136934936685295,
        4.913714474556708,
        4.913735455444886,
        4.913756436333064,
        4.913777417221242,
        4.913798398109421,
        4.913819378997599,
        4.913839883047409,
        4.913860863935588,
        4.9138818448237656,
        4.9139028257119435,
        4.913923806600121,
        4.9139447874883,
        4.913965768376478,
        4.913986749264656,
        4.914007730152835,
        4.914028711041013,
        4.914049691929191,
        4.914070672817369,
        4.9140916537055475,
        4.914112634593725,
        4.914133615481903,
        4.914154596370081,
        4.91417557725826,
        4.914196558146438,
        4.914217062196248,
        4.914238043084427,
        4.914259023972605,
        4.914280004860783,
        4.914300985748961,
        4.914321966637139,
        4.914342947525317,
        4.914363928413495,
        4.914384909301673,
        4.914405413351484,
        4.914426394239662,
        4.914447375127841,
        4.914468356016019,
        4.914489336904197,
        4.914510317792375,
        4.914531298680553,
        4.914552279568731,
        4.914572783618541,
        4.91459376450672,
        4.914614745394898,
        4.914635726283076,
        4.914656707171254,
        4.914677688059433,
        4.914698192109243,
        4.914719172997421,
        4.9147401538855995,
        4.914761134773777,
        4.914782115661955,
        4.914802619711766,
        4.914823600599944,
        4.914844581488122,
        4.9148655623763,
        4.914886543264479,
        4.914907047314289,
        4.914928028202467,
        4.914949009090646,
        4.9149699899788235,
        4.914990970867001,
        4.915011474916812,
        4.91503245580499,
        4.915053436693168,
        4.915074417581347,
        4.915094921631157,
        4.915115902519335,
        4.915136883407514,
        4.915157864295692,
        4.915178368345502,
        4.9151993492336805,
        4.915220330121858,
        4.915241311010036,
        4.915261815059847,
        4.915282795948025,
        4.915303776836203,
        4.915324757724381,
        4.915345261774192,
        4.91536624266237,
        4.915387223550548,
        4.915407727600359,
        4.915428708488537,
        4.915449689376715,
        4.915470670264893,
        4.915491174314703,
        4.915512155202882,
        4.91553313609106,
        4.91555364014087,
        4.915574621029049,
        4.915595601917227,
        4.915616105967037,
        4.915637086855216,
        4.915658067743394,
        4.915678571793204,
        4.9156995526813825,
        4.91572053356956,
        4.91574103761937,
        4.915762018507549,
        4.915782999395727,
        4.915803503445537,
        4.915824484333716,
        4.915845465221894,
        4.915865969271704,
        4.915886950159883,
        4.915907454209693,
        4.915928435097871,
        4.9159494159860495,
        4.9159699200358595,
        4.9159909009240375,
        4.916011404973848,
        4.916032385862026,
        4.916053366750204,
        4.916073870800015,
        4.916094851688193,
        4.916115355738004,
        4.916136336626182,
        4.91615731751436,
        4.916177821564171,
        4.916198802452349,
        4.9162193065021595,
        4.916385723092481,
        4.916406227142292,
        4.91642720803047,
        4.916447712080281,
        4.916468692968459,
        4.916489197018269,
        4.9165101779064475,
        4.9165306819562575,
        4.9165516628444355,
        4.916572166894246,
        4.916593147782424,
        4.916613651832235,
        4.916634632720413,
        4.916655136770223,
        4.916676117658402,
        4.916696621708212,
        4.91671760259639,
        4.916738106646201,
        4.916759087534379,
        4.91677959158419,
        4.916800572472368,
        4.9168210765221785,
        4.916842057410356,
        4.916862561460166,
        4.916883542348345,
        4.916904046398155,
        4.916925027286333,
        4.916945531336144,
        4.916966035385954,
        4.916987016274133,
        4.917007520323943,
        4.917028501212121,
        4.917049005261932,
        4.91706998615011,
        4.917090490199921,
        4.9171114710880985,
        4.917131975137909,
        4.9171524791877195,
        4.917173460075897,
        4.917193964125708,
        4.917214945013886,
        4.917235449063696,
        4.917255953113507,
        4.917276934001685,
        4.917297438051496,
        4.917317942101306,
        4.917338922989484,
        4.917359427039295,
        4.917380407927473,
        4.917400911977284,
        4.917421416027094,
        4.9174423969152725,
        4.9174629009650825,
        4.9174834050148934,
        4.917504385903071,
        4.917524889952881,
        4.917545394002692,
        4.91756637489087,
        4.917586878940681,
        4.917607382990491,
        4.917628363878669,
        4.91764886792848,
        4.91766937197829,
        4.917690352866469,
        4.917710856916279,
        4.91773136096609,
        4.917752341854268,
        4.917772845904078,
        4.917793349953889,
        4.9178143308420665,
        4.9178348348918774,
        4.9178553389416875,
        4.917876319829865,
        4.917896823879676,
        4.917917327929486,
        4.917937831979297,
        4.917958812867475,
        4.917979316917286,
        4.917999820967096,
        4.918020325016907,
        4.918041305905085,
        4.918061809954895,
        4.918082314004706,
        4.918102818054516,
        4.918123798942695,
        4.918144302992505,
        4.918164807042316,
        4.918185311092126,
        4.9182062919803045,
        4.9182267960301145,
        4.918247300079925,
        4.918267804129735,
        4.918288785017913,
        4.918309289067724,
        4.918329793117534,
        4.918350297167345,
        4.918370801217155,
        4.918391782105334,
        4.918412286155144,
        4.918432790204955,
        4.918453294254765,
        4.918473798304576,
        4.918494779192754,
        4.918515283242564,
        4.918535787292375,
        4.918556291342185,
        4.918576795391996,
        4.918597299441806,
        4.9186182803299845,
        4.9186387843797945,
        4.918659288429605,
        4.9186797924794154,
        4.918700296529226,
        4.918720800579036,
        4.918741304628847,
        4.918762285517025,
        4.918782789566835,
        4.918803293616646,
        4.918823797666456,
        4.918844301716267,
        4.918864805766077,
        4.918885309815888,
        4.918905813865698,
        4.918926794753877,
        4.918947298803687,
        4.918967802853498,
        4.918988306903308,
        4.919008810953119,
        4.919029315002929,
        4.91904981905274,
        4.91907032310255,
        4.919090827152361,
        4.919111331202171,
        4.9191318352519815,
        4.919152816140159,
        4.91917332018997,
        4.91919382423978,
        4.919214328289591,
        4.919234832339401,
        4.919255336389212,
        4.919275840439022,
        4.919296344488833,
        4.919316848538643,
        4.919337352588454,
        4.919357856638264,
        4.919378360688075,
        4.919398864737885,
        4.919419368787696,
        4.919439872837506,
        4.919460376887317,
        4.919480880937127,
        4.919501384986938,
        4.919521889036748,
        4.919542393086559,
        4.919562897136369,
        4.91958340118618,
        4.91960390523599,
        4.919624409285801,
        4.919644913335611,
        4.9196654173854215,
        4.9196859214352315,
        4.9197064254850424,
        4.9197269295348525,
        4.919747433584663,
        4.919767937634473,
        4.919788441684284,
        4.919808945734094,
        4.919829449783905,
        4.919849953833715,
        4.919870457883526,
        4.919890961933336,
        4.919911465983147,
        4.919931970032957,
        4.919952474082768,
        4.91997250129421,
        4.919993005344021,
        4.920013509393831,
        4.920034013443642,
        4.920054517493453,
        4.920075021543263,
        4.920095525593074,
        4.920116029642884,
        4.920136533692695,
        4.920157037742505,
        4.920177541792316,
        4.920197569003758,
        4.920218073053569,
        4.920238577103379,
        4.92025908115319,
        4.920279585203,
        4.920300089252811,
        4.920320593302621,
        4.9203410973524315,
        4.9203616014022415,
        4.9203816286136846,
        4.9204021326634955,
        4.9204226367133055,
        4.920443140763116,
        4.920463644812926,
        4.920484148862737,
        4.9205041760741794,
        4.92052468012399,
        4.9205451841738,
        4.920565688223611,
        4.920586192273421,
        4.920606696323232,
        4.920626723534675,
        4.920647227584485,
        4.920667731634296,
        4.920688235684106,
        4.920708739733917,
        4.920729243783727,
        4.92074927099517,
        4.92076977504498,
        4.920790279094791,
        4.920810783144601,
        4.920830810356044,
        4.920851314405855,
        4.920871818455665,
        4.920892322505476,
        4.920912826555286,
        4.920932853766729,
        4.920953357816539,
        4.92097386186635,
        4.92099436591616,
        4.921014393127603,
        4.921034897177414,
        4.921055401227224,
        4.921075905277035,
        4.921095932488477,
        4.921116436538288,
        4.921136940588098,
        4.921157444637909,
        4.921177471849352,
        4.921197975899162,
        4.921218479948973,
        4.921238507160415,
        4.921259011210226,
        4.921279515260036,
        4.921300019309847,
        4.92132004652129,
        4.9213405505711,
        4.921361054620911,
        4.921381081832354,
        4.921401585882164,
        4.9214220899319745,
        4.921442117143417,
        4.9214626211932275,
        4.9214831252430375,
        4.921503152454481,
        4.9215236565042915,
        4.9215441605541015,
        4.9215641877655445,
        4.9215846918153545,
        4.921605195865165,
        4.921625223076608,
        4.9216457271264185,
        4.921666231176229,
        4.9216862583876715,
        4.921706762437482,
        4.921727266487292,
        4.921747293698735,
        4.921767797748546,
        4.9217878249599885,
        4.921808329009799,
        4.921828833059609,
        4.921848860271052,
        4.921869364320863,
        4.921889868370673,
        4.921909895582116,
        4.921930399631926,
        4.921950426843369,
        4.92197093089318,
        4.92199143494299,
        4.922011462154433,
        4.922031966204243,
        4.922051993415686,
        4.922072497465497,
        4.922092524676939,
        4.92211302872675,
        4.92213353277656,
        4.922153559988003,
        4.922174064037814,
        4.922194091249256,
        4.922214595299067,
        4.92223462251051,
        4.92225512656032,
        4.922275153771763,
        4.922295657821573,
        4.922315685033016,
        4.922336189082827,
        4.922356693132637,
        4.92237672034408,
        4.92239722439389,
        4.922417251605333,
        4.922437755655144,
        4.922457782866586,
        4.922478286916397,
        4.92249831412784,
        4.92251881817765,
        4.922538845389093,
        4.922559349438903,
        4.922579376650346,
        4.922599880700157,
        4.922619907911599,
        4.92264041196141,
        4.922660439172853,
        4.922680466384295,
        4.922700970434106,
        4.922720997645549,
        4.922741501695359,
        4.922761528906802,
        4.922782032956612,
        4.922802060168055,
        4.922822564217866,
        4.922842591429308,
        4.922863095479119,
        4.922883122690562,
        4.922903149902004,
        4.922923653951815,
        4.922943681163258,
        4.922964185213068,
        4.922984212424511,
        4.923004716474321,
        4.923024743685764,
        4.923044770897207,
        4.923065274947017,
        4.92308530215846,
        4.923105806208271,
        4.923125833419713,
        4.9231458606311564,
        4.923166364680967,
        4.9231863918924095,
        4.92320689594222,
        4.923226923153663,
        4.9232469503651055,
        4.923267454414916,
        4.923287481626359,
        4.9233075088378015,
        4.9233280128876125,
        4.9233480400990555,
        4.923368067310498,
        4.9233885713603085,
        4.9234085985717515,
        4.923428625783194,
        4.9234491298330045,
        4.9234691570444475,
        4.923489661094258,
        4.923509688305701,
        4.923529715517144,
        4.923549742728586,
        4.923570246778397,
        4.92359027398984,
        4.923610301201282,
        4.923630805251093,
        4.923650832462536,
        4.923670859673978,
        4.923691363723789,
        4.923711390935232,
        4.923731418146674,
        4.923751922196485,
        4.923771949407928,
        4.923791976619371,
        4.923812003830813,
        4.923832507880624,
        4.923852535092067,
        4.923872562303509,
        4.923892589514952,
        4.923913093564763,
        4.923933120776205,
        4.923953147987648,
        4.923973175199091,
        4.923993679248901,
        4.924013706460344,
        4.924033733671787,
        4.92405376088323,
        4.92407426493304,
        4.924094292144483,
        4.924114319355926,
        4.924134346567368,
        4.924154850617179,
        4.924174877828622,
        4.924194905040064,
        4.924214932251507,
        4.92423495946295,
        4.92425546351276,
        4.924275490724203,
        4.924295517935646,
        4.924315545147089,
        4.924335572358531,
        4.924356076408342,
        4.924376103619785,
        4.924396130831227,
        4.92441615804267,
        4.924436185254113,
        4.924456689303923,
        4.9244767165153664,
        4.9244967437268095,
        4.9245167709382525,
        4.924536798149695,
        4.924556825361138,
        4.924576852572581,
        4.924597356622391,
        4.924617383833834,
        4.924637411045277,
        4.92465743825672,
        4.924677465468162,
        4.924697492679605,
        4.924717519891048,
        4.924738023940858,
        4.924758051152301,
        4.924778078363744,
        4.924798105575187,
        4.924818132786629,
        4.924838159998072,
        4.924858187209515,
        4.924878214420958,
        4.9248982416324,
        4.924918268843843,
        4.924938772893654,
        4.924958800105096,
        4.924978827316539,
        4.924998854527982,
        4.925018881739425,
        4.925038908950867,
        4.92505893616231,
        4.925078963373753,
        4.925098990585196,
        4.925119017796638,
        4.925139045008081,
        4.925159072219524,
        4.925179099430967,
        4.9251991266424096,
        4.925219153853853,
        4.925239181065296,
        4.925259685115106,
        4.925279712326549,
        4.925299739537992,
        4.925319766749435,
        4.925339793960877,
        4.92535982117232,
        4.925379848383763,
        4.925399875595206,
        4.925419902806648,
        4.925439930018091,
        4.925459957229534,
        4.925479984440977,
        4.925500011652419,
        4.925520038863862,
        4.925540066075305,
        4.925560093286747,
        4.92558012049819,
        4.925600147709633,
        4.925620174921076,
        4.925640202132518,
        4.925659752505593,
        4.925679779717036,
        4.925699806928479,
        4.925719834139922,
        4.9257398613513645,
        4.9257598885628076,
        4.925779915774251,
        4.925799942985694,
        4.925819970197136,
        4.925839997408579,
        4.925860024620022,
        4.925880051831465,
        4.925900079042907,
        4.92592010625435,
        4.925940133465793,
        4.925960160677236,
        4.925979711050311,
        4.925999738261753,
        4.926019765473196,
        4.926039792684639,
        4.926059819896082,
        4.926079847107524,
        4.926099874318967,
        4.92611990153041,
        4.926139928741853,
        4.926159955953295,
        4.9261795063263705,
        4.9261995335378135,
        4.9262195607492565,
        4.9262395879606995,
        4.926259615172142,
        4.926279642383585,
        4.926299669595028,
        4.926319219968103,
        4.926339247179546,
        4.926359274390988,
        4.926379301602431,
        4.926399328813874,
        4.926419356025317,
        4.926439383236759,
        4.926458933609834,
        4.926478960821277,
        4.92649898803272,
        4.926519015244163,
        4.926539042455605,
        4.92655859282868,
        4.926578620040123,
        4.926598647251566,
        4.926618674463009,
        4.9266387016744515,
        4.926658252047527,
        4.92667827925897,
        4.926698306470413,
        4.926718333681856,
        4.926738360893298,
        4.926757911266373,
        4.926777938477816,
        4.926797965689259,
        4.926817992900702,
        4.926837543273777,
        4.926857570485219,
        4.926877597696662,
        4.926897624908105,
        4.926917652119548,
        4.926937202492623,
        4.926957229704065,
        4.926977256915508,
        4.9269968072885835,
        4.9270168345000265,
        4.9270368617114695,
        4.927056888922912,
        4.927076439295987,
        4.92709646650743,
        4.927116493718873,
        4.927136520930316,
        4.927156071303391,
        4.927176098514833,
        4.927196125726276,
        4.927215676099351,
        4.927235703310794,
        4.927255730522237,
        4.927275280895312,
        4.927295308106754,
        4.927315335318197,
        4.92733536252964,
        4.927354912902715,
        4.927374940114158,
        4.927394967325601,
        4.927414517698676,
        4.927434544910119,
        4.927454572121562,
        4.927474122494637,
        4.92749414970608,
        4.927514176917522,
        4.927533727290597,
        4.92755375450204,
        4.927573304875115,
        4.927593332086558,
        4.927613359298001,
        4.927632909671076,
        4.927652936882518,
        4.927672964093961,
        4.9276925144670365,
        4.9277125416784795,
        4.927732092051555,
        4.927752119262998,
        4.92777214647444,
        4.927791696847515,
        4.927811724058958,
        4.927831274432033,
        4.927851301643476,
        4.927871328854918,
        4.927890879227993,
        4.927910906439436,
        4.927930456812511,
        4.927950484023954,
        4.927970511235397,
        4.927990061608472,
        4.9280100888199145,
        4.92802963919299,
        4.928049666404433,
        4.928069216777508,
        4.928089243988951,
        4.928109271200394,
        4.928128821573469,
        4.928148848784911,
        4.928168399157986,
        4.928188426369429,
        4.928207976742504,
        4.928228003953947,
        4.928247554327022,
        4.928267581538465,
        4.92828713191154,
        4.928307159122983,
        4.928326709496058,
        4.928346736707501,
        4.928366287080576,
        4.928386314292019,
        4.928405864665094,
        4.928425891876537,
        4.928445442249612,
        4.928465469461054,
        4.928485019834129,
        4.928505047045572,
        4.928524597418647,
        4.92854462463009,
        4.9285641750031655,
        4.9285842022146085,
        4.928603752587684,
        4.928623779799126,
        4.928643330172201,
        4.928663357383644,
        4.928682907756719,
        4.928702458129794,
        4.928722485341237,
        4.928742035714312,
        4.928762062925755,
        4.92878161329883,
        4.928801640510272,
        4.9288211908833475,
        4.9288412180947905,
        4.928860768467866,
        4.928880318840941,
        4.928900346052384,
        4.928919896425459,
        4.928939923636902,
        4.928959474009977,
        4.928979024383052,
        4.928999051594494,
        4.929018601967569,
        4.929038629179012,
        4.929058179552087,
        4.9290777299251625,
        4.9290977571366055,
        4.929117307509681,
        4.929137334721123,
        4.929156885094198,
        4.929176435467273,
        4.929196462678716,
        4.929216013051791,
        4.929235563424866,
        4.929255590636309,
        4.929275141009384,
        4.929294691382459,
        4.929314718593902,
        4.9293342689669775,
        4.929353819340053,
        4.929373846551495,
        4.92939339692457,
        4.929412947297645,
        4.929432974509088,
        4.929452524882163,
        4.929472075255238,
        4.929492102466681,
        4.929511652839756,
        4.929531203212831,
        4.929551230424274,
        4.9295707807973494,
        4.9295903311704246,
        4.929610358381867,
        4.929629908754942,
        4.929649459128017,
        4.929669009501092,
        4.929689036712535,
        4.92970858708561,
        4.929728137458685,
        4.929748164670128,
        4.929767715043203,
        4.929787265416278,
        4.9298068157893535,
        4.9298268430007965,
        4.929846393373872,
        4.929865943746947,
        4.929885494120022,
        4.929905521331464,
        4.929925071704539,
        4.929944622077614,
        4.929964172450689,
        4.929984199662132,
        4.930003750035207,
        4.9300233004082825,
        4.930042850781358,
        4.930062877992801,
        4.930082428365876,
        4.930101978738951,
        4.930121529112026,
        4.930141079485101,
        4.930161106696543,
        4.930180657069618,
        4.930200207442693,
        4.9302197578157685,
        4.930239308188844,
        4.930259335400287,
        4.930278885773362,
        4.930298436146437,
        4.930317986519512,
        4.930337536892587,
        4.930357087265662,
        4.930377114477105,
        4.93039666485018,
        4.930416215223255,
        4.9304357655963305,
        4.930455315969406,
        4.930474866342481,
        4.930494893553924,
        4.930514443926999,
        4.930533994300074,
        4.930553544673149,
        4.930573095046224,
        4.930592645419299,
        4.930612195792374,
        4.930631746165449,
        4.9306517733768915,
        4.930671323749967,
        4.930690874123042,
        4.930710424496117,
        4.930729974869192,
        4.930749525242267,
        4.930769075615342,
        4.930788625988417,
        4.930808176361492,
        4.930828203572935,
        4.9308477539460105,
        4.930867304319086,
        4.930886854692161,
        4.930906405065236,
        4.930925955438311,
        4.930945505811386,
        4.930965056184461,
        4.930984606557536,
        4.931004156930611,
        4.931023707303686,
        4.9310432576767615,
        4.931062808049837,
        4.931082358422912,
        4.931101908795987,
        4.93112193600743,
        4.931141486380505,
        4.93116103675358,
        4.931180587126655,
        4.93120013749973,
        4.931219687872805,
        4.9312392382458805,
        4.931258788618956,
        4.931278338992031,
        4.931297889365106,
        4.931317439738181,
        4.931336990111256,
        4.931356540484331,
        4.931376090857406,
        4.931395641230481,
        4.9314151916035565,
        4.931434741976632,
        4.931454292349707,
        4.931473842722782,
        4.931493393095857,
        4.931512943468932,
        4.931532493842007,
        4.931552044215082,
        4.931571594588157,
        4.931591144961232,
        4.93161021849594,
        4.931629768869015,
        4.93164931924209,
        4.931668869615165,
        4.93168841998824,
        4.931707970361315,
        4.93172752073439,
        4.931747071107465,
        4.9317666214805405,
        4.931786171853616,
        4.931805722226691,
        4.931825272599766,
        4.931844822972841,
        4.931864373345916,
        4.931883923718991,
        4.931902997253698,
        4.931922547626773,
        4.9319420979998485,
        4.931961648372924,
        4.931981198745999,
        4.932000749119074,
        4.932020299492149,
        4.932039849865224,
        4.932059400238299,
        4.932078950611374,
        4.9320980241460814,
        4.9321175745191566,
        4.932137124892232,
        4.932156675265307,
        4.932176225638382,
        4.932195776011457,
        4.932215326384532,
        4.932234399919239,
        4.932253950292314,
        4.9322735006653895,
        4.932293051038465,
        4.93231260141154,
        4.932332151784615,
        4.93235170215769,
        4.932370775692397,
        4.932390326065472,
        4.932409876438547,
        4.932429426811622,
        4.9324489771846975,
        4.932468050719406,
        4.932487601092481,
        4.932507151465556,
        4.932526701838631,
        4.932546252211706,
        4.932565325746413,
        4.932584876119488,
        4.9326044264925635,
        4.932623976865639,
        4.932643527238714,
        4.932662600773421,
        4.932682151146496,
        4.932701701519571,
        4.932721251892646,
        4.932740802265721,
        4.9327598758004285,
        4.932779426173504,
        4.932798976546579,
        4.932818526919654,
        4.932837600454362,
        4.932857150827437,
        4.932876701200512,
        4.932896251573587,
        4.9329153251082944,
        4.9329348754813696,
        4.932954425854445,
        4.932973499389152,
        4.932993049762227,
        4.933012600135302,
        4.933032150508377,
        4.933051224043084,
        4.9330707744161595,
        4.933090324789235,
        4.933109398323942,
        4.933652517224735,
        4.933691141132519,
        4.933710691505594,
        4.933729765040301,
        4.933749315413376,
        4.933768865786451,
        4.933787939321158,
        4.933807489694233,
        4.933826563228941,
        4.933846113602016,
        4.933865187136724,
        4.934792160923504,
        4.934811711296579,
        4.934830784831286,
        4.934850335204361,
        4.934869408739069,
        4.934888959112144,
        4.9349080326468515,
        4.934927106181559,
        4.934946656554634,
        4.934965730089341,
        4.934984803624048,
        4.935004353997123,
        4.935023427531831,
        4.9350429779049065,
        4.935062051439614,
        4.935081124974321,
        4.935100675347396,
        4.935119748882103,
        4.935139299255178,
        4.9351583727898864,
        4.935177446324594,
        4.935196996697669,
        4.935216070232376,
        4.935235143767083,
        4.935254694140158,
        4.935273767674866,
        4.935292841209574,
        4.935312391582649,
        4.935331465117356,
        4.935350538652063,
        4.935370089025138,
        4.935389162559846,
        4.9354082360945535,
        4.935427786467629,
        4.935446860002336,
        4.935465933537043,
        4.935485483910118,
        4.935504557444825,
        4.935523630979533,
        4.935542704514241,
        4.935562254887316,
        4.935581328422023,
        4.93560040195673,
        4.935619952329805,
        4.935639025864513,
        4.9356580993992205,
        4.935677172933928,
        4.935696723307003,
        4.93571579684171,
        4.935734870376418,
        4.935753943911125,
        4.9357734942842,
        4.935792567818908,
        4.935811641353615,
        4.935830714888323,
        4.935850265261398,
        4.935869338796105,
        4.935888412330812,
        4.93590748586552,
        4.935927036238595,
        4.935946109773302,
        4.93596518330801,
        4.935984256842717,
        4.936003807215792,
        4.9360228807504996,
        4.936041954285207,
        4.936061027819915,
        4.936080101354622,
        4.936099651727697,
        4.936118725262404,
        4.936137798797112,
        4.93615687233182,
        4.936175945866527,
        4.936195496239602,
        4.936214569774309,
        4.936233643309016,
        4.9362527168437245,
        4.936271790378432,
        4.936290863913139,
        4.936310414286214,
        4.936329487820921,
        4.936348561355628,
        4.9363676348903365,
        4.936386708425044,
        4.936405781959751,
        4.936425332332826,
        4.936444405867533,
        4.936463479402241,
        4.9364825529369485,
        4.936501626471656,
        4.936520700006363,
        4.936539773541071,
        4.936559323914146,
        4.936578397448853,
        4.9365974709835605,
        4.936616544518268,
        4.936635618052976,
        4.936654691587683,
        4.93667376512239,
        4.936692838657097,
        4.936711912191805,
        4.93673146256488,
        4.936750536099588,
        4.936769609634295,
        4.936788683169002,
        4.936807756703709,
        4.9368268302384175,
        4.936845903773125,
        4.936864977307832,
        4.936884050842539,
        4.936903124377247,
        4.936922197911954,
        4.936941271446662,
        4.936960344981369,
        4.936979418516077,
        4.936998968889152,
        4.937018042423859,
        4.937037115958566,
        4.937056189493274,
        4.937075263027981,
        4.937094336562689,
        4.937113410097396,
        4.937132483632103,
        4.9371515571668105,
        4.937170630701519,
        4.937189704236226,
        4.937208777770933,
        4.93722785130564,
        4.937246924840348,
        4.9372659983750555,
        4.937285071909763,
        4.93730414544447,
        4.937323218979178,
        4.937342292513885,
        4.937361366048592,
        4.9373804395833,
        4.937399513118008,
        4.937418586652715,
        4.937437660187422,
        4.937456733722129,
        4.9374758072568365,
        4.937494880791545,
        4.937513954326252,
        4.937533027860959,
        4.937552101395666,
        4.937571174930374,
        4.9375902484650815,
        4.937608845161421,
        4.937627918696129,
        4.937646992230836,
        4.937666065765543,
        4.9376851393002505,
        4.937704212834959,
        4.937723286369666,
        4.937742359904373,
        4.93776143343908,
        4.937780506973788,
        4.9377995805084955,
        4.937818654043203,
        4.93783772757791,
        4.937856801112617,
        4.937875397808957,
        4.9378944713436645,
        4.937913544878372,
        4.93793261841308,
        4.937951691947787,
        4.937970765482494,
        4.9379898390172015,
        4.9380089125519095,
        4.938027986086617,
        4.938046582782956,
        4.938065656317664,
        4.938084729852371,
        4.9381038033870785,
        4.938122876921786,
        4.938141950456494,
        4.938161023991201,
        4.93817962068754,
        4.9381986942222476,
        4.938217767756956,
        4.938236841291663,
        4.93825591482637,
        4.938274988361077,
        4.938294061895785,
        4.938312658592125,
        4.938331732126832,
        4.93835080566154,
        4.938369879196247,
        4.938388952730954,
        4.9384075494272945,
        4.938426622962002,
        4.938445696496709,
        4.938464770031416,
        4.938483843566124,
        4.9385029171008314,
        4.938521513797171,
        4.938540587331878,
        4.938559660866586,
        4.938578734401293,
        4.9385973310976325,
        4.938616404632341,
        4.938635478167048,
        4.938654551701755,
        4.938673625236462,
        4.938692221932802,
        4.93871129546751,
        4.938730369002217,
        4.938749442536925,
        4.938768039233264,
        4.938787112767971,
        4.9388061863026795,
        4.938825259837387,
        4.938843856533726,
        4.938862930068433,
        4.938882003603141,
        4.9389010771378485,
        4.938919673834188,
        4.938938747368896,
        4.938957820903603,
        4.938976417599942,
        4.9389954911346505,
        4.939014564669358,
        4.939033638204065,
        4.939052234900405,
        4.939071308435112,
        4.9390903819698195,
        4.93910897866616,
        4.939128052200867,
        4.939147125735574,
        4.939165722431913,
        4.9391847959666215,
        4.939203869501329,
        4.939222943036036,
        4.939241539732376,
        4.939260613267083,
        4.9392796868017905,
        4.939298283498131,
        4.939317357032838,
        4.939336430567545,
        4.939355027263885,
        4.9393741007985925,
        4.939392697494932,
        4.93941177102964,
        4.939430844564347,
        4.939449441260686,
        4.9394685147953945,
        4.939487588330102,
        4.939506185026441,
        4.939525258561148,
        4.939544332095856,
        4.939562928792196,
        4.939582002326903,
        4.939600599023243,
        4.93961967255795,
        4.939638746092657,
        4.939657342788998,
        4.939676416323705,
        4.939695013020045,
        4.939714086554752,
        4.939733160089459,
        4.9397517567858,
        4.939770830320507,
        4.939789427016846,
        4.939808500551553,
        4.939827574086261,
        4.939846170782601,
        4.939865244317308,
        4.939883841013648,
        4.939902914548355,
        4.9399215112446955,
        4.939940584779403,
        4.93995965831411,
        4.93997825501045,
        4.939997328545157,
        4.940015925241497,
        4.940034998776205,
        4.940053595472544,
        4.940072669007251,
        4.940091265703591,
        4.940110339238299,
        4.940128935934638,
        4.940148009469346,
        4.940166606165685,
        4.9401856797003925,
        4.940204276396733,
        4.94022334993144,
        4.94024194662778,
        4.940261020162487,
        4.9402796168588266,
        4.940298690393535,
        4.940317287089874,
        4.940336360624581,
        4.940354957320921,
        4.9403740308556285,
        4.940392627551969,
        4.940411701086676,
        4.940430297783015,
        4.940449371317722,
        4.940467968014063,
        4.94048704154877,
        4.94050563824511,
        4.940524711779817,
        4.9405433084761565,
        4.940562382010865,
        4.940580978707204,
        4.940600052241911,
        4.940618648938251,
        4.940637245634591,
        4.940656319169299,
        4.940674915865638,
        4.940693989400345,
        4.940712586096685,
        4.940731659631393,
        4.940750256327732,
        4.940768853024072,
        4.940787926558779,
        4.9408065232551195,
        4.940825596789827,
        4.940844193486166,
        4.940862790182506,
        4.940881863717213,
        4.940900460413554,
        4.940919533948261,
        4.9409381306446,
        4.94095672734094,
        4.9409758008756475,
        4.940994397571987,
        4.941013471106695,
        4.941032067803034,
        4.941050664499374,
        4.941069738034082,
        4.941088334730421,
        4.941106931426761,
        4.941126004961468,
        4.941144601657808,
        4.941163198354148,
        4.941182271888855,
        4.941200868585195,
        4.941219942119902,
        4.9412385388162425,
        4.941257135512582,
        4.941276209047289,
        4.941294805743629,
        4.9413134024399685,
        4.941332475974676,
        4.941351072671016,
        4.941369669367355,
        4.941388266063695,
        4.941407339598403,
        4.941425936294743,
        4.941444532991082,
        4.941463606525789,
        4.9414822032221295,
        4.941500799918469,
        4.941519873453177,
        4.941538470149516,
        4.9415570668458555,
        4.941575663542196,
        4.941594737076903,
        4.941613333773243,
        4.941631930469582,
        4.94165100400429,
        4.94166960070063,
        4.941688197396969,
        4.941706794093309,
        4.9417258676280165,
        4.941744464324357,
        4.941763061020696,
        4.941781657717036,
        4.941800731251743,
        4.941819327948083,
        4.941837924644423,
        4.941856521340762,
        4.941875594875469,
        4.9418941915718095,
        4.941912788268149,
        4.941931384964489,
        4.941950458499196,
        4.941969055195536,
        4.941987651891876,
        4.942006248588216,
        4.942024845284555,
        4.942043918819262,
        4.942062515515603,
        4.942081112211942,
        4.942099708908282,
        4.942118305604621,
        4.942137379139329,
        4.942155975835669,
        4.942174572532008,
        4.942193169228348,
        4.942211765924688,
        4.942230362621028,
        4.942249436155735,
        4.942268032852075,
        4.9422866295484145,
        4.942305226244755,
        4.942323822941094,
        4.942342419637434,
        4.942361493172141,
        4.942380089868481,
        4.942398686564821,
        4.94241728326116,
        4.9424358799575,
        4.94245447665384,
        4.94247307335018,
        4.942492146884887,
        4.942510743581226,
        4.9425293402775665,
        4.942547936973906,
        4.942566533670246,
        4.942585130366585,
        4.9458540957962525,
        4.949533142222129,
        4.949555076787043,
        4.949577011351956,
        4.949599422755237,
        4.949621357320151,
        4.949643291885065,
        4.949665703288345,
        4.949687637853259,
        4.949709572418173,
        4.9497319838214535,
        4.949753918386367,
        4.949775852951281,
        4.949798264354562,
        4.9498201989194754,
        4.949842133484389,
        4.94986454488767,
        4.949886479452584,
        4.949908414017497,
        4.949930348582411,
        4.949952759985692,
        4.949974694550606,
        4.949996629115519,
        4.950018563680433,
        4.950040975083714,
        4.9500629096486275,
        4.950084844213541,
        4.950107255616822,
        4.950129190181736,
        4.950151124746649,
        4.950173059311562,
        4.950194993876476,
        4.950217405279758,
        4.950239339844671,
        4.950261274409584,
        4.950283208974498,
        4.9503056203777795,
        4.950327554942692,
        4.950349489507606,
        4.95037142407252,
        4.950393358637434,
        4.950415770040714,
        4.950437704605628,
        4.950459639170542,
        4.9504815737354555,
        4.950503508300368,
        4.95052591970365,
        4.950547854268564,
        4.9505697888334765,
        4.95059172339839,
        4.950613657963304,
        4.950636069366585,
        4.9506580039314985,
        4.950679938496412,
        4.950701873061326,
        4.95072380762624,
        4.9507457421911525,
        4.950767676756066,
        4.950790088159348,
        4.950812022724261,
        4.950833957289174,
        4.950855891854088,
        4.950877826419002,
        4.950899760983915,
        4.950921695548828,
        4.950943630113742,
        4.950966041517024,
        4.950987976081937,
        4.95100991064685,
        4.951031845211764,
        4.951053779776678,
        4.951075714341591,
        4.951097648906504,
        4.951119583471418,
        4.951141518036332,
        4.951163452601245,
        4.951185387166158,
        4.95120779856944,
        4.951229733134354,
        4.951251667699267,
        4.95127360226418,
        4.951295536829094,
        4.951317471394008,
        4.951339405958921,
        4.951361340523834,
        4.951383275088748,
        4.951405209653662,
        4.9514271442185755,
        4.951449078783488,
        4.951471013348402,
        4.951492947913316,
        4.95151488247823,
        4.951536817043142,
        4.951558751608056,
        4.95158068617297,
        4.951602620737884,
        4.951624555302796,
        4.95164648986771,
        4.951668424432624,
        4.951690358997538,
        4.951712293562451,
        4.951734228127364,
        4.951756162692278,
        4.951778097257192,
        4.951800031822105,
        4.951821966387018,
        4.951843900951932,
        4.951865835516846,
        4.951887770081759,
        4.951909704646673,
        4.951931639211586,
        4.9519535737765,
        4.951975508341413,
        4.951997442906327,
        4.952018900632873,
        4.952040835197786,
        4.9520627697626995,
        4.952106638892527,
        4.953465151402062,
        4.955393008922615,
        4.95541446664916,
        4.955435924375706,
        4.955457858940619,
        4.955479316667165,
        4.955500774393711,
        4.9555227089586245,
        4.95554416668517,
        4.955565624411716,
        4.95558755897663,
        4.955609016703176,
        4.9556304744297215,
        4.955652408994635,
        4.955673866721181,
        4.955695324447727,
        4.955717259012641,
        4.955738716739186,
        4.955760174465732,
        4.955781632192278,
        4.955803566757191,
        4.955825024483737,
        4.9558464822102835,
        4.955868416775196,
        4.955889874501742,
        4.955911332228288,
        4.955932789954834,
        4.9559547245197475,
        4.955976182246293,
        4.955997639972839,
        4.956019574537753,
        4.956041032264299,
        4.9560624899908445,
        4.95608394771739,
        4.956105405443936,
        4.95612734000885,
        4.956148797735396,
        4.956170255461942,
        4.956191713188487,
        4.956213647753401,
        4.956235105479947,
        4.956256563206493,
        4.956278020933039,
        4.956299955497951,
        4.956321413224497,
        4.956342870951043,
        4.956364328677589,
        4.956385786404135,
        4.9564077209690485,
        4.956429178695594,
        4.95645063642214,
        4.956472094148686,
        4.956493551875232,
        4.956515009601778,
        4.956536944166691,
        4.956558401893237,
        4.956579859619783,
        4.956601317346329,
        4.956622775072875,
        4.9566442327994205,
        4.956666167364334,
        4.95668762509088,
        4.956709082817426,
        4.956730540543972,
        4.9567519982705175,
        4.956773455997063,
        4.956794913723609,
        4.9568597637416145,
        4.958012997333862,
        4.959811870075955,
        4.959854308690678,
        4.959875766417224,
        4.959896747305402,
        4.959918205031948,
        4.959939662758494,
        4.9599606436466726,
        4.959982101373218,
        4.960003082261396,
        4.960024539987942,
        4.960045997714488,
        4.960066978602666,
        4.960088436329212,
        4.9601094172173905,
        4.960130874943936,
        4.960151855832114,
        4.96017331355866,
        4.960194294446838,
        4.960215752173384,
        4.96023720989993,
        4.960258190788108,
        4.960279648514653,
        4.960300629402832,
        4.960322087129378,
        4.960343068017556,
        4.960364525744102,
        4.96038550663228,
        4.9604069643588256,
        4.9604279452470035,
        4.96044940297355,
        4.960470383861728,
        4.960491841588274,
        4.960512822476452,
        4.960534280202998,
        4.960555261091176,
        4.960576718817721,
        4.9605976997059,
        4.960619157432446,
        4.960640138320624,
        4.96066159604717,
        4.960682576935348,
        4.960704034661894,
        4.9607250155500715,
        4.960746473276617,
        4.960767454164796,
        4.960788435052974,
        4.96080989277952,
        4.960830873667698,
        4.960852331394244,
        4.9608733122824225,
        4.960894770008968,
        4.960915750897146,
        4.960937208623692,
        4.96095818951187,
        4.960979170400048,
        4.961000628126594,
        4.9610216090147725,
        4.961043066741318,
        4.961064047629496,
        4.961085028517674,
        4.96110648624422,
        4.961127467132398,
        4.961148924858944,
        4.961169905747123,
        4.9611908866353005,
        4.961212344361846,
        4.961233325250024,
        4.961254306138203,
        4.961275763864749,
        4.961296744752927,
        4.961318202479473,
        4.961339183367651,
        4.9613601642558285,
        4.961381621982374,
        4.961402602870553,
        4.961423583758731,
        4.961445041485277,
        4.961466022373455,
        4.961487003261633,
        4.9615084609881785,
        4.961529441876357,
        4.961550422764535,
        4.961571880491081,
        4.961592861379259,
        4.961613842267437,
        4.961635299993984,
        4.961656280882162,
        4.9616772617703395,
        4.961698719496885,
        4.961719700385063,
        4.961740681273242,
        4.96176166216142,
        4.961783119887966,
        4.961804100776144,
        4.961825081664322,
        4.9618460625525005,
        4.961867520279046,
        4.961888501167224,
        4.961909482055402,
        4.961930939781948,
        4.961951920670126,
        4.961972901558305,
        4.961993882446483,
        4.9620153401730285,
        4.962036321061206,
        4.962057301949385,
        4.962078282837563,
        4.962099263725741,
        4.962120721452287,
        4.962141702340465,
        4.962162683228644,
        4.9621836641168215,
        4.962205121843367,
        4.962226102731545,
        4.962247083619723,
        4.962268064507902,
        4.96228904539608,
        4.962310503122626,
        4.962331484010804,
        4.962352464898982,
        4.96237344578716,
        4.962394426675338,
        4.962415884401884,
        4.962436865290062,
        4.96245784617824,
        4.962478827066419,
        4.962499807954597,
        4.962520788842775,
        4.9625422465693205,
        4.962563227457499,
        4.962584208345677,
        4.962605189233855,
        4.962626170122033,
        4.962647151010212,
        4.96266813189839,
        4.962689112786568,
        4.962710570513114,
        4.9627315514012915,
        4.96275253228947,
        4.962773513177648,
        4.962794494065826,
        4.962815474954004,
        4.962836455842183,
        4.962857436730361,
        4.962878894456907,
        4.962899875345085,
        4.962920856233263,
        4.962941837121441,
        4.962962818009619,
        4.962983798897797,
        4.963004779785976,
        4.963025760674154,
        4.963046741562332,
        4.96306772245051,
        4.963088703338689,
        4.9631096842268665,
        4.963130665115044,
        4.963151646003222,
        4.963173103729768,
        4.963194084617947,
        4.963215065506125,
        4.963236046394303,
        4.963257027282481,
        4.96327800817066,
        4.9632989890588375,
        4.963319969947015,
        4.963340950835193,
        4.963361931723372,
        4.96338291261155,
        4.963403893499728,
        4.963424874387907,
        4.963445855276085,
        4.963466836164263,
        4.963487817052441,
        4.963508797940619,
        4.963529778828797,
        4.963550759716975,
        4.963571740605153,
        4.963592721493332,
        4.96361370238151,
        4.963634683269688,
        4.963655664157866,
        4.9636766450460446,
        4.9636976259342225,
        4.9637186068224,
        4.963739110872211,
        4.963760091760389,
        4.963781072648567,
        4.963802053536745,
        4.963823034424924,
        4.963844015313102,
        4.96386499620128,
        4.963885977089459,
        4.9639069579776365,
        4.963927938865814,
        4.963948919753992,
        4.963969900642171,
        4.963990881530349,
        4.964011862418527,
        4.964032366468338,
        4.964053347356516,
        4.964074328244694,
        4.964095309132872,
        4.9641162900210505,
        4.964137270909228,
        4.964158251797406,
        4.964179232685584,
        4.964200213573763,
        4.964220717623573,
        4.964241698511751,
        4.96426267939993,
        4.964283660288108,
        4.964304641176286,
        4.964325622064464,
        4.964346602952642,
        4.964367107002452,
        4.964388087890631,
        4.964409068778809,
        4.964430049666987,
        4.964451030555165,
        4.964472011443344,
        4.964492515493154,
        4.964513496381332,
        4.964534477269511,
        4.9645554581576885,
        4.964576439045866,
        4.964597419934044,
        4.964617923983855,
        4.964638904872033,
        4.964659885760211,
        4.96468086664839,
        4.9647013706982,
        4.964722351586378,
        4.964743332474557,
        4.964764313362735,
        4.9647852942509125,
        4.964805798300723,
        4.964826779188901,
        4.964847760077079,
        4.964868740965257,
        4.964889245015068,
        4.964910225903246,
        4.964931206791425,
        4.964952187679603,
        4.964972691729413,
        4.964993672617592,
        4.9650146535057695,
        4.9650356343939475,
        4.965056138443758,
        4.965077119331936,
        4.965098100220114,
        4.965119081108292,
        4.965139585158103,
        4.965160566046281,
        4.965181546934459,
        4.96520205098427,
        4.965223031872448,
        4.965244012760626,
        4.965264516810437,
        4.9652854976986145,
        4.965306478586792,
        4.965327459474971,
        4.965347963524781,
        4.965368944412959,
        4.965389925301138,
        4.965410429350948,
        4.965431410239126,
        4.965452391127305,
        4.965472895177115,
        4.965493876065294,
        4.9655148569534715,
        4.9655353610032815,
        4.96555634189146,
        4.96557684594127,
        4.965597826829448,
        4.965618807717627,
        4.965639311767437,
        4.965660292655615,
        4.965681273543794,
        4.965701777593604,
        4.965722758481782,
        4.965743739369961,
        4.965764243419771,
        4.9657852243079486,
        4.9658057283577595,
        4.965826709245937,
        4.965847690134115,
        4.965868194183926,
        4.965889175072104,
        4.965909679121915,
        4.965930660010093,
        4.965951164059903,
        4.965972144948082,
        4.96599312583626,
        4.96601362988607,
        4.966034610774249,
        4.966055114824059,
        4.966076095712237,
        4.966096599762047,
        4.966117580650225,
        4.966138561538404,
        4.966159065588214,
        4.966180046476392,
        4.966200550526203,
        4.966221531414381,
        4.966242035464192,
        4.96626301635237,
        4.96628352040218,
        4.966304501290359,
        4.966325005340169,
        4.9663459862283466,
        4.9663664902781575,
        4.966387471166335,
        4.966407975216146,
        4.966428956104324,
        4.966449460154134,
        4.966470441042313,
        4.966490945092123,
        4.966511925980301,
        4.966532430030112,
        4.96655341091829,
        4.966573914968101,
        4.966594895856279,
        4.966615399906089,
        4.9666363807942675,
        4.9666568848440775,
        4.966677388893888,
        4.966698369782066,
        4.966718873831877,
        4.966739854720055,
        4.966760358769865,
        4.966781339658044,
        4.966801843707854,
        4.966822824596032,
        4.966843328645843,
        4.966863832695653,
        4.966884813583832,
        4.966905317633642,
        4.96692629852182,
        4.966946802571631,
        4.9669677834598085,
        4.966988287509619,
        4.967008791559429,
        4.967029772447607,
        4.967050276497418,
        4.967070780547228,
        4.967091761435407,
        4.967112265485217,
        4.967133246373395,
        4.967153750423206,
        4.967174254473016,
        4.967195235361195,
        4.967215739411005,
        4.967236243460816,
        4.967257224348994,
        4.967277728398804,
        4.9672987092869825,
        4.9673192133367925,
        4.967339717386603,
        4.967360698274781,
        4.967381202324591,
        4.967401706374402,
        4.96742268726258,
        4.967443191312391,
        4.967463695362201,
        4.96748467625038,
        4.96750518030019,
        4.967525684350001,
        4.967546188399811,
        4.967567169287989,
        4.9675876733378,
        4.96760817738761,
        4.9676291582757885,
        4.967649662325599,
        4.9676701663754095,
        4.967691147263587,
        4.967711651313397,
        4.967732155363208,
        4.967752659413018,
        4.967773640301197,
        4.967794144351007,
        4.967814648400818,
        4.967835152450628,
        4.967856133338806,
        4.967876637388617,
        4.967897141438427,
        4.967917645488238,
        4.967938626376416,
        4.967959130426227,
        4.967979634476037,
        4.968000138525848,
        4.968021119414026,
        4.968041623463836,
        4.9680621275136465,
        4.9680826315634565,
        4.968103135613267,
        4.968124116501445,
        4.968144620551256,
        4.968165124601066,
        4.968185628650877,
        4.968206609539055,
        4.968227113588866,
        4.968247617638676,
        4.968268121688487,
        4.968288625738297,
        4.968309129788108,
        4.968330110676286,
        4.968350614726096,
        4.968371118775907,
        4.968391622825717,
        4.968412126875528,
        4.968432630925338,
        4.9684536118135165,
        4.9684741158633265,
        4.9684946199131375,
        4.9685151239629475,
        4.968535628012758,
        4.968556132062568,
        4.968576636112379,
        4.968597617000557,
        4.968618121050367,
        4.968638625100178,
        4.968659129149988,
        4.968679633199799,
        4.968700137249609,
        4.96872064129942,
        4.96874114534923,
        4.968762126237409,
        4.968782630287219,
        4.96880313433703,
        4.96882363838684,
        4.968844142436651,
        4.968864646486461,
        4.968885150536272,
        4.968905654586082,
        4.968926158635893,
        4.968946662685703,
        4.9689671667355135,
        4.9689876707853236,
        4.9690081748351345,
        4.969029155723312,
        4.969049659773122,
        4.969070163822933,
        4.969090667872744,
        4.969111171922554,
        4.969131675972365,
        4.969152180022175,
        4.969172684071986,
        4.969193188121796,
        4.969213692171607,
        4.969234196221417,
        4.969254700271228,
        4.969275204321038,
        4.969295708370849,
        4.969316212420659,
        4.96933671647047,
        4.96935722052028,
        4.969377724570091,
        4.969398228619901,
        4.969418732669712,
        4.969439236719522,
        4.969459740769333,
        4.969480244819143,
        4.9695007488689535,
        4.969521252918764,
        4.9695417569685745,
        4.9695622610183845,
        4.969582765068195,
        4.969603269118005,
        4.969623773167816,
        4.969644277217626,
        4.969664781267437,
        4.969685285317247,
        4.969705789367058,
        4.9697258165785,
        4.969746320628311,
        4.969766824678121,
        4.969787328727932,
        4.969807832777742,
        4.969828336827553,
        4.969848840877363,
        4.969869344927174,
        4.969889848976984,
        4.969910353026795,
        4.969930857076605,
        4.969951361126416,
        4.969971388337859,
        4.969991892387669,
        4.97001239643748,
        4.97003290048729,
        4.970053404537101,
        4.970073908586911,
        4.970094412636722,
        4.970114916686532,
        4.970135420736343,
        4.970155447947786,
        4.970175951997596,
        4.970196456047407,
        4.970216960097217,
        4.9702374641470275,
        4.9702579681968375,
        4.970278472246648,
        4.9702984994580905,
        4.9703190035079015,
        4.9703395075577115,
        4.970360011607522,
        4.970380515657332,
        4.970401019707143,
        4.970421046918586,
        4.970441550968396,
        4.970462055018207,
        4.970482559068017,
        4.970503063117828,
        4.97052309032927,
        4.970543594379081,
        4.970564098428891,
        4.970584602478702,
        4.970605106528512,
        4.970625133739955,
        4.970645637789766,
        4.970666141839576,
        4.970686645889387,
        4.970706673100829,
        4.97072717715064,
        4.97074768120045,
        4.970768185250261,
        4.970788689300071,
        4.970808716511514,
        4.970829220561325,
        4.970849724611135,
        4.970870228660946,
        4.970890255872388,
        4.970910759922199,
        4.970931263972009,
        4.97095176802182,
        4.970971795233263,
        4.970992299283073,
        4.971012803332884,
        4.971032830544326,
        4.971053334594137,
        4.971073838643947,
        4.971094342693758,
        4.971114369905201,
        4.971134873955011,
        4.971155378004822,
        4.971175405216264,
        4.971195909266075,
        4.971216413315885,
        4.971236440527328,
        4.971256944577139,
        4.971277448626949,
        4.971297475838392,
        4.971317979888202,
        4.971338483938013,
        4.971358511149456,
        4.971379015199266,
        4.9713995192490765,
        4.971419546460519,
        4.9714400505103296,
        4.97146055456014,
        4.971480581771583,
        4.9715010858213935,
        4.9715215898712035,
        4.9715416170826465,
        4.971562121132457,
        4.9715821483438996,
        4.9716026523937105,
        4.9716231564435205,
        4.9716431836549635,
        4.971663687704774,
        4.971684191754584,
        4.971704218966027,
        4.9717247230158375,
        4.9717447502272805,
        4.971765254277091,
        4.971785758326901,
        4.971805785538344,
        4.971826289588154,
        4.971846316799597,
        4.971866820849408,
        4.9718868480608505,
        4.971907352110661,
        4.971927856160471,
        4.971947883371914,
        4.971968387421725,
        4.971988414633167,
        4.972008918682978,
        4.972028945894421,
        4.972049449944231,
        4.972069477155674,
        4.972089981205484,
        4.972110485255295,
        4.972130512466738,
        4.972151016516548,
        4.972171043727991,
        4.972191547777801,
        4.972211574989244,
        4.972232079039055,
        4.972252106250497,
        4.972272610300308,
        4.972292637511751,
        4.972313141561561,
        4.972333168773004,
        4.972353672822814,
        4.972373700034257,
        4.972394204084068,
        4.97241423129551,
        4.972434735345321,
        4.972454762556764,
        4.972475266606574,
        4.972495293818017,
        4.972515797867827,
        4.97253582507927,
        4.972555852290713,
        4.972576356340523,
        4.972596383551966,
        4.972616887601777,
        4.9726369148132195,
        4.97265741886303,
        4.972677446074473,
        4.972697950124283,
        4.972717977335726,
        4.972738004547169,
        4.972758508596979,
        4.972778535808422,
        4.9727990398582325,
        4.9728190670696755,
        4.972839571119486,
        4.9728595983309285,
        4.9728796255423715,
        4.972900129592182,
        4.9729201568036245,
        4.9729406608534354,
        4.9729606880648785,
        4.972980715276321,
        4.9730012193261315,
        4.9730212465375745,
        4.9730417505873845,
        4.9730617777988275,
        4.9730818050102705,
        4.9731023090600806,
        4.973122336271524,
        4.973142363482967,
        4.973162867532777,
        4.97318289474422,
        4.973202921955663,
        4.973223426005473,
        4.973243453216916,
        4.973263480428359,
        4.973283984478169,
        4.973304011689612,
        4.973324038901055,
        4.973344542950865,
        4.973364570162308,
        4.973384597373751,
        4.973405101423561,
        4.973425128635004,
        4.973445155846447,
        4.973465659896257,
        4.9734856871077,
        4.973505714319143,
        4.973526218368953,
        4.973546245580396,
        4.973566272791839,
        4.973586300003281,
        4.973606804053092,
        4.973626831264535,
        4.973646858475977,
        4.973667362525788,
        4.973687389737231,
        4.973707416948673,
        4.973727444160116,
        4.973747948209927,
        4.973767975421369,
        4.973788002632812,
        4.973808029844255,
        4.973828533894065,
        4.973848561105508,
        4.973868588316951,
        4.973888615528394,
        4.973909119578204,
        4.973929146789647,
        4.97394917400109,
        4.973969201212532,
        4.973989228423975,
        4.974009732473786,
        4.974029759685228,
        4.974049786896671,
        4.974069814108114,
        4.974089841319557,
        4.974110345369367,
        4.97413037258081,
        4.974150399792253,
        4.9741704270036955,
        4.9741904542151385,
        4.974210958264949,
        4.9742309854763915,
        4.9742510126878345,
        4.9742710398992775,
        4.9742910671107206,
        4.974311094322163,
        4.974331598371974,
        4.974351625583417,
        4.974371652794859,
        4.974391680006302,
        4.974411707217745,
        4.974431734429188,
        4.97445176164063,
        4.974472265690441,
        4.974492292901884,
        4.974512320113326,
        4.974532347324769,
        4.974552374536212,
        4.974572401747655,
        4.974592428959097,
        4.97461245617054,
        4.974632960220351,
        4.974652987431793,
        4.974673014643236,
        4.974693041854679,
        4.974713069066122,
        4.974733096277564,
        4.974753123489007,
        4.97477315070045,
        4.974793177911893,
        4.974813205123335,
        4.974833709173146,
        4.974853736384589,
        4.974873763596031,
        4.974893790807474,
        4.974913818018917,
        4.97493384523036,
        4.9749538724418025,
        4.9749738996532455,
        4.9749939268646886,
        4.975013954076132,
        4.975033981287574,
        4.975054008499017,
        4.97507403571046,
        4.975094062921903,
        4.975114090133345,
        4.975134117344788,
        4.975154144556231,
        4.975174171767674,
        4.975194198979116,
        4.975214226190559,
        4.975234253402002,
        4.975254280613445,
        4.975274307824887,
        4.97529433503633,
        4.975314362247773,
        4.975334389459216,
        4.975354416670658,
        4.975374443882101,
        4.975394471093544,
        4.975414498304987,
        4.975434525516429,
        4.975454552727872,
        4.975474579939315,
        4.975494607150758,
        4.9755146343622005,
        4.9755346615736435,
        4.9755546887850866,
        4.97557471599653,
        4.975594743207972,
        4.975614770419415,
        4.975634797630858,
        4.975654824842301,
        4.975674852053743,
        4.975694879265186,
        4.975714429638261,
        4.975734456849704,
        4.975754484061147,
        4.975774511272589,
        4.975794538484032,
        4.975814565695475,
        4.975834592906918,
        4.97585462011836,
        4.975874647329803,
        4.975894674541246,
        4.975914701752689,
        4.975934252125764,
        4.9759542793372065,
        4.9759743065486495,
        4.9759943337600925,
        4.9760143609715355,
        4.976034388182978,
        4.976054415394421,
        4.976074442605864,
        4.976093992978939,
        4.976114020190382,
        4.976134047401824,
        4.976154074613267,
        4.97617410182471,
        4.976194129036153,
        4.976213679409228,
        4.97623370662067,
        4.976253733832113,
        4.976273761043556,
        4.976293788254999,
        4.976313815466441,
        4.976333365839516,
        4.976353393050959,
        4.976393447473845,
        4.9764134746852875,
        4.97718976754788,
        4.977209317920955,
        4.977229345132398,
        4.977249372343841,
        4.977268922716915,
        4.977288949928358,
        4.977308977139801,
        4.977328527512876,
        4.977348554724319,
        4.977368105097394,
        4.977388132308836,
        4.977408159520279,
        4.977427709893354,
        4.977447737104797,
        4.97746776431624,
        4.9774873146893155,
        4.977507341900758,
        4.977527369112201,
        4.977546919485276,
        4.977566946696719,
        4.977586497069794,
        4.977606524281237,
        4.977626551492679,
        4.977646101865754,
        4.977666129077197,
        4.977685679450272,
        4.977705706661715,
        4.977725733873158,
        4.977745284246233,
        4.977765311457675,
        4.9777848618307505,
        4.9778048890421935,
        4.977824439415269,
        4.977844466626712,
        4.977864493838155,
        4.97788404421123,
        4.977904071422672,
        4.977923621795747,
        4.97794364900719,
        4.977963199380265,
        4.977983226591708,
        4.978002776964783,
        4.978022804176226,
        4.978042354549301,
        4.9780623817607434,
        4.9780819321338186,
        4.978101959345262,
        4.978121986556705,
        4.97814153692978,
        4.978161564141223,
        4.978181114514298,
        4.97820114172574,
        4.978220692098815,
        4.978240719310258,
        4.978260269683333,
        4.978280296894776,
        4.978299847267851,
        4.978319874479294,
        4.978339424852369,
        4.9783589752254445,
        4.978379002436887,
        4.978398552809962,
        4.978418580021405,
        4.97843813039448,
        4.978458157605923,
        4.978477707978998,
        4.978497735190441,
        4.978517285563516,
        4.978537312774958,
        4.978556863148033,
        4.978576890359476,
        4.978596440732551,
        4.9786159911056265,
        4.9786360183170695,
        4.978655568690145,
        4.978675595901587,
        4.978695146274662,
        4.978714696647737,
        4.97873472385918,
        4.978754274232255,
        4.978774301443698,
        4.978793851816773,
        4.978813879028216,
        4.978833429401291,
        4.978852979774366,
        4.9788730069858085,
        4.978892557358884,
        4.978912107731959,
        4.978932134943402,
        4.978951685316477,
        4.97897171252792,
        4.978991262900995,
        4.97901081327407,
        4.979030840485513,
        4.979050390858588,
        4.979069941231663,
        4.979089968443105,
        4.9791095188161805,
        4.979129069189256,
        4.979149096400699,
        4.979168646773774,
        4.979188673985217,
        4.979208224358292,
        4.979227774731367,
        4.97924780194281,
        4.979267352315885,
        4.97928690268896,
        4.979306453062035,
        4.979326480273477,
        4.9793460306465525,
        4.979365581019628,
        4.979385608231071,
        4.979405158604146,
        4.979424708977221,
        4.979444736188664,
        4.979464286561739,
        4.979483836934814,
        4.979503387307889,
        4.979523414519332,
        4.979542964892407,
        4.979562515265482,
        4.9795825424769244,
        4.9796020928499996,
        4.979621643223075,
        4.97964119359615,
        4.979661220807593,
        4.979680771180668,
        4.979700321553743,
        4.979719871926818,
        4.979739899138261,
        4.979759449511336,
        4.979778999884411,
        4.979798550257486,
        4.9798185774689285,
        4.979838127842004,
        4.979857678215079,
        4.979877228588154,
        4.979896778961229,
        4.979916806172672,
        4.979936356545747,
        4.979955906918822,
        4.979975457291897,
        4.979995007664972,
        4.980015034876415,
        4.9800345852494905,
        4.980054135622566,
        4.980073685995641,
        4.980093236368716,
        4.980113263580159,
        4.980132813953234,
        4.980152364326309,
        4.980171914699384,
        4.980191465072459,
        4.980211015445534,
        4.9802310426569765,
        4.980250593030052,
        4.980270143403127,
        4.980289693776202,
        4.980309244149277,
        4.980328794522352,
        4.980348821733795,
        4.98130774369121,
        4.981327294064285,
        4.981366394810435,
        4.9813859451835105,
        4.981405495556586,
        4.981425045929661,
        4.981444596302736,
        4.981464146675811,
        4.981483697048886,
        4.981503247421961,
        4.981522797795036,
        4.981542348168111,
        4.9815618985411865,
        4.981581448914262,
        4.981600999287337,
        4.981620549660412,
        4.981639623195119,
        4.981659173568194,
        4.981678723941269,
        4.981698274314344,
        4.981717824687419,
        4.9817373750604945,
        4.98175692543357,
        4.981776475806645,
        4.98179602617972,
        4.981815576552795,
        4.981834650087503,
        4.981854200460578,
        4.981873750833653,
        4.981893301206728,
        4.9819128515798035,
        4.981932401952879,
        4.981951952325954,
        4.981971502699028,
        4.981990576233736,
        4.982010126606811,
        4.982029676979886,
        4.982049227352961,
        4.982068777726036,
        4.9820883280991115,
        4.982107878472187,
        4.982126952006894,
        4.982146502379969,
        4.982166052753044,
        4.982185603126119,
        4.982205153499194,
        4.982224703872269,
        4.9822437774069765,
        4.982263327780052,
        4.982282878153127,
        4.982302428526202,
        4.982321978899277,
        4.982341052433984,
        4.982360602807059,
        4.982380153180134,
        4.9823997035532095,
        4.982419253926285,
        4.982438327460993,
        4.982457877834068,
        4.982477428207143,
        4.982496978580218,
        4.982516528953293,
        4.982535602488,
        4.982555152861075,
        4.9825747032341505,
        4.982594253607226,
        4.982613327141933,
        4.982632877515008,
        4.982652427888083,
        4.982671978261158,
        4.982691051795865,
        4.9827106021689405,
        4.982730152542016,
        4.982749702915091,
        4.982768776449798,
        4.982788326822873,
        4.982807877195948,
        4.982826950730656,
        4.982846501103731,
        4.982866051476806,
        4.9828856018498815,
        4.982904675384589,
        4.982924225757664,
        4.982943776130739,
        4.982962849665446,
        4.982982400038521,
        4.983001950411596,
        4.9830210239463035,
        4.983040574319379,
        4.983060124692454,
        4.983079675065529,
        4.983098748600237,
        4.983118298973312,
        4.983137849346387,
        4.983156922881094,
        4.9831764732541695,
        4.983196023627245,
        4.983215097161952,
        4.983234647535027,
        4.983253721069734,
        4.983273271442809,
        4.983292821815884,
        4.9833118953505915,
        4.983331445723667,
        4.983350996096742,
        4.98337006963145,
        4.983389620004525,
        4.9834091703776,
        4.983428243912307,
        4.983447794285382,
        4.9834668678200895,
        4.983486418193165,
        4.98350596856624,
        4.983525042100947,
        4.983544592474022,
        4.98356366600873,
        4.983583216381805,
        4.98360276675488,
        4.9836218402895875,
        4.983641390662663,
        4.98366046419737,
        4.983680014570445,
        4.983699088105152,
        4.983718638478227,
        4.983738188851302,
        4.98375726238601,
        4.983776812759085,
        4.983795886293793,
        4.983815436666868,
        4.983834510201575,
        4.98385406057465,
        4.983873134109357,
        4.9838926844824325,
        4.983912234855508,
        4.983931308390215,
        4.98395085876329,
        4.983969932297998,
        4.983989482671073,
        4.98400855620578,
        4.984028106578855,
        4.984047180113563,
        4.984066730486638,
        4.984085804021345,
        4.98410535439442,
        4.984124427929128,
        4.984143978302203,
        4.98416305183691,
        4.9841826022099855,
        4.984201675744693,
        4.984221226117768,
        4.984240299652475,
        4.98425985002555,
        4.984278923560257,
        4.9842984739333325,
        4.984317547468041,
        4.984337097841116,
        4.984356171375823,
        4.98437524491053,
        4.984394795283605,
        4.984413868818312,
        4.9844334191913875,
        4.984452492726096,
        4.984472043099171,
        4.984491116633878,
        4.984510667006953,
        4.98452974054166,
        4.984548814076367,
        4.9845683644494425,
        4.984587437984151,
        4.984606988357226,
        4.984626061891933,
        4.984645612265008,
        4.984664685799715,
        4.984683759334422,
        4.9847033097074975,
        4.984722383242205,
        4.98474193361528,
        4.984761007149988,
        4.984780080684695,
        4.98479963105777,
        4.9848187045924774,
        4.9848382549655526,
        4.98485732850026,
        4.984876402034968,
        4.984895952408043,
        4.98491502594275,
        4.984934099477457,
        4.9849536498505325,
        4.98497272338524,
        4.984991796919948,
        4.985011347293023,
        4.98503042082773,
        4.985049494362437,
        4.985069044735512,
        4.98508811827022,
        4.985107191804928,
        4.985126742178002,
        4.98514581571271,
        4.985164889247417,
        4.985184439620492,
        4.9852035131551995,
        4.985222586689907,
        4.985242137062982,
        4.98526121059769,
        4.985280284132397,
        4.985299834505472,
        4.985318908040179,
        4.985337981574887,
        4.985357531947962,
        4.98537660548267,
        4.985395679017377,
        4.985414752552084,
        4.985434302925159,
        4.9854533764598665,
        4.985472449994575,
        4.985491523529282,
        4.985511073902357,
        4.985530147437064,
        4.985549220971771,
        4.985568771344846,
        4.985587844879554,
        4.985606918414262,
        4.985625991948969,
        4.985645542322044,
        4.985664615856751,
        4.9856836893914585,
        4.9857027629261665,
        4.985721836460874,
        4.985741386833949,
        4.985760460368656,
        4.985779533903363,
        4.985798607438071,
        4.9858181578111465,
        4.985837231345854,
        4.985856304880561,
        4.985875378415268,
        4.985894451949976,
        4.985914002323051,
        4.9859330758577585,
        4.985952149392466,
        4.98599029646188,
        4.986009846834955,
        4.986028920369663,
        4.9860479939043705,
        4.986067067439078,
        4.986086140973785,
        4.986105214508493,
        4.986124764881568,
        4.986143838416275,
        4.9861629119509825,
        4.98618198548569,
        4.986201059020398,
        4.986220132555105,
        4.986239206089812,
        4.986258756462887,
        4.9862778299975945,
        4.986296903532303,
        4.98631597706701,
        4.986335050601717,
        4.986354124136424,
        4.986373197671132,
        4.9863927480442065,
        4.986411821578915,
        4.986430895113622,
        4.986449968648329,
        4.986469042183036,
        4.986488115717744,
        4.9865071892524515,
        4.986526262787159,
        4.986545336321866,
        4.986564409856574,
        4.986583483391281,
        4.986603033764356,
        4.9866221072990635,
        4.986641180833771,
        4.986660254368479,
        4.986679327903186,
        4.986698401437893,
        4.9867174749726,
        4.9867365485073085,
        4.986755622042016,
        4.986774695576723,
        4.98679376911143,
        4.986812842646137,
        4.986831916180845,
        4.986850989715553,
        4.98687006325026,
        4.986889136784967,
        4.986908210319675,
        4.986927283854382,
        4.9869463573890895,
        4.986965907762165,
        4.986984981296872,
        4.98700405483158,
        4.987023128366287,
        4.987042201900994,
        4.9870612754357015,
        4.98708034897041,
        4.987099422505117,
        4.987118496039824,
        4.987137569574531,
        4.9871566431092385,
        4.9871757166439465,
        4.987194790178654,
        4.987213386874993,
        4.987232460409701,
        4.987251533944408,
        4.9872706074791155,
        4.987289681013823,
        4.987308754548531,
        4.987327828083238,
        4.987346901617945,
        4.9873659751526525,
        4.9873850486873605,
        4.987404122222068,
        4.987423195756775,
        4.987442269291482,
        4.98746134282619,
        4.9874804163608975,
        4.987499489895605,
        4.987518563430312,
        4.987537636965019,
        4.987556710499727,
        4.9875753071960665,
        4.987594380730774,
        4.987613454265482,
        4.987632527800189,
        4.987651601334896,
        4.987670674869603,
        4.9876897484043115,
        4.987708821939019,
        4.987727895473726,
        4.987746969008433,
        4.987765565704773,
        4.9877846392394805,
        4.987803712774188,
        4.987822786308896,
        4.987841859843603,
        4.98786093337831,
        4.987880006913017,
        4.987899080447725,
        4.987917677144065,
        4.987936750678772,
        4.987955824213479,
        4.987974897748187,
        4.9879939712828945,
        4.988013044817602,
        4.988031641513942,
        4.988050715048649,
        4.988069788583356,
        4.9880888621180635,
        4.9881079356527716,
        4.988127009187479,
        4.988145605883818,
        4.988164679418526,
        4.988183752953233,
        4.9882028264879406,
        4.988221900022648,
        4.988240973557355,
        4.988259570253695,
        4.988278643788402,
        4.98829771732311,
        4.988316790857818,
        4.988335387554157,
        4.988354461088864,
        4.988373534623572,
        4.9883926081582795,
        4.988411681692987,
        4.988430278389327,
        4.988449351924034,
        4.988468425458741,
        4.9884874989934485,
        4.988506095689789,
        4.988525169224496,
        4.988544242759203,
        4.98856331629391,
        4.9885819129902504,
        4.988600986524958,
        4.988620060059665,
        4.988639133594373,
        4.988657730290712,
        4.9886768038254194,
        4.9886958773601275,
        4.988714950894835,
        4.988733547591174,
        4.988752621125882,
        4.988771694660589,
        4.988790291356929,
        4.988809364891637,
        4.988828438426344,
        4.988847511961051,
        4.988866108657391,
        4.9888851821920985,
        4.988904255726806,
        4.988922852423145,
        4.988941925957853,
        4.98896099949256,
        4.9889795961889,
        4.988998669723608,
        4.989017743258315,
        4.989036339954654,
        4.989055413489362,
        4.9890744870240695,
        4.989093083720409,
        4.989112157255117,
        4.989131230789824,
        4.989149827486163,
        4.9891689010208715,
        4.989187974555579,
        4.989206571251918,
        4.989225644786625,
        4.989244718321333,
        4.989263315017673,
        4.98928238855238,
        4.98930098524872,
        4.989320058783427,
        4.989339132318134,
        4.989357729014475,
        4.989376802549182,
        4.989395876083889,
        4.989414472780229,
        4.989433546314936,
        4.989452143011277,
        4.989471216545984,
        4.989490290080691,
        4.989508886777031,
        4.989527960311738,
        4.989546557008078,
        4.989565630542785,
        4.989584227239125,
        4.989603300773832,
        4.9896223743085395,
        4.98964097100488,
        4.989660044539587,
        4.989678641235927,
        4.989697714770634,
        4.989716311466974,
        4.989735385001682,
        4.989753981698021,
        4.989773055232728,
        4.989792128767436,
        4.989810725463776,
        4.989829798998483,
        4.989848395694823,
        4.98986746922953,
        4.9898860659258695,
        4.989905139460578,
        4.989923736156917,
        4.989942809691624,
        4.989961406387964,
        4.9899804799226715,
        4.989999076619012,
        4.990018150153719,
        4.990036746850058,
        4.990055820384766,
        4.9900744170811056,
        4.990093490615813,
        4.990112087312153,
        4.99013116084686,
        4.9901497575431994,
        4.9901688310779075,
        4.990187427774247,
        4.990206501308954,
        4.990225098005294,
        4.990244171540001,
        4.990262768236342,
        4.990281841771049,
        4.990300438467388,
        4.990319035163728,
        4.9903381086984355,
        4.990356705394776,
        4.990375778929483,
        4.990394375625822,
        4.99041344916053,
        4.99043204585687,
        4.990451119391577,
        4.990469716087917,
        4.990488312784256,
        4.9905073863189635,
        4.990525983015304,
        4.990545056550011,
        4.990563653246351,
        4.99058224994269,
        4.990601323477398,
        4.990619920173738,
        4.990638993708445,
        4.990657590404785,
        4.9906761871011245,
        4.990695260635832,
        4.990713857332172,
        4.990732930866879,
        4.990751527563218,
        4.990770124259559,
        4.990789197794266,
        4.990807794490606,
        4.993844301216026,
        4.997406283822635,
        4.997428695225917,
        4.997451106629198,
        4.997473518032479,
        4.99749592943576,
        4.997517864000674,
        4.9975402754039555,
        4.997562686807236,
        4.997585098210518,
        4.997607032775431,
        4.997629444178712,
        4.997651855581994,
        4.997674266985275,
        4.997696678388556,
        4.997718612953469,
        4.997741024356751,
        4.997763435760032,
        4.997785847163313,
        4.997807781728227,
        4.997830193131508,
        4.997852604534789,
        4.99787501593807,
        4.997896950502984,
        4.997919361906265,
        4.997941773309546,
        4.99796370787446,
        4.997986119277741,
        4.998008530681022,
        4.998030942084304,
        4.998052876649217,
        4.998075288052498,
        4.998097699455779,
        4.998119634020693,
        4.9981420454239744,
        4.998164456827255,
        4.998186391392169,
        4.99820880279545,
        4.998231214198731,
        4.998253148763645,
        4.998275560166926,
        4.998297971570207,
        4.998319906135121,
        4.998342317538402,
        4.9983647289416835,
        4.998386663506596,
        4.998409074909878,
        4.99843148631316,
        4.998453420878072,
        4.998475832281354,
        4.998498243684635,
        4.9985201782495485,
        4.99854258965283,
        4.998564524217743,
        4.998586935621025,
        4.998609347024305,
        4.998631281589219,
        4.998653692992501,
        4.9986756275574145,
        4.998698038960695,
        4.998720450363977,
        4.99874238492889,
        4.998764796332171,
        4.998786730897085,
        4.998809142300366,
        4.998831553703647,
        4.998853488268561,
        4.998875899671842,
        4.998897834236756,
        4.998920245640036,
        4.99894218020495,
        4.998964591608232,
        4.998987003011512,
        4.999008937576426,
        4.999031348979707,
        4.999053283544621,
        4.999075694947902,
        4.999097629512816,
        4.999120040916097,
        4.9991419754810105,
        4.999164386884291,
        4.999186321449205,
        4.999208732852487,
        4.999230667417399,
        4.999253078820681,
        4.999275013385595,
        4.9992974247888755,
        4.999319359353789,
        4.999341770757071,
        4.999363705321984,
        4.999386116725265,
        4.999408051290179,
        4.99943046269346,
        4.9994523972583735,
        4.999474808661654,
        4.999496743226568,
        4.99951915462985,
        4.999541089194763,
        4.999563500598044,
        4.999585435162958,
        4.999607369727872,
        4.999629781131152,
        4.999651715696066,
        4.999674127099347,
        4.9996960616642605,
        4.999718473067542,
        4.999740407632456,
        4.999762342197369,
        4.99978475360065,
        4.999806688165564,
        4.999829099568845,
        4.9998510341337585,
        4.999872968698672,
        4.999895380101953,
        4.999917314666867,
        4.999939726070148,
        4.999961660635061,
        4.999983595199975,
        5.000006006603257,
        5.000027941168169,
        5.000050352571451,
        5.000072287136365,
        5.000094221701278,
        5.000116633104559,
        5.000138567669473,
        5.000160502234387,
        5.000182913637667,
        5.000204848202581,
        5.000226782767495,
        5.000249194170776,
        5.000271128735689,
        5.000293063300603,
        5.000315474703884,
        5.0003374092687976,
        5.000359343833711,
        5.000381755236992,
        5.000403689801906,
        5.0004256243668195,
        5.0004480357701,
        5.000469970335014,
        5.000491904899928,
        5.000514316303208,
        5.000536250868122,
        5.000558185433036,
        5.00058011999795,
        5.00060253140123,
        5.000624465966144,
        5.000646400531058,
        5.0006688119343385,
        5.000690746499252,
        5.000712681064166,
        5.00073461562908,
        5.0007570270323605,
        5.000778961597274,
        5.000800896162188,
        5.000822830727102,
        5.000845242130382,
        5.000867176695296,
        5.00088911126021,
        5.000911045825123,
        5.000932980390036,
        5.000955391793318,
        5.000977326358231,
        5.000999260923145,
        5.001021195488058,
        5.001043606891339,
        5.001065541456253,
        5.0010874760211665,
        5.00110941058608,
        5.001131345150994,
        5.001153756554275,
        5.0011756911191885,
        5.001197625684102,
        5.001219560249015,
        5.001241494813929,
        5.0012634293788425,
        5.001285840782124,
        5.001307775347037,
        5.001329709911951,
        5.001351644476864,
        5.001373579041778,
        5.001395513606691,
        5.001417925009973,
        5.001439859574886,
        5.001461794139799,
        5.001483728704713,
        5.001505663269627,
        5.00152759783454,
        5.001549532399454,
        5.001571466964367,
        5.001593878367649,
        5.001615812932562,
        5.001637747497475,
        5.001659682062389,
        5.001681616627303,
        5.001703551192216,
        5.001725485757129,
        5.001747420322043,
        5.001769354886957,
        5.00179128945187,
        5.001813700855151,
        5.001835635420065,
        5.0018575699849785,
        5.001879504549892,
        5.001901439114805,
        5.002392582633521,
        5.003543670453114,
        5.003565605018028,
        5.003587539582941,
        5.003609474147854,
        5.003631408712768,
        5.003652866439314,
        5.003674801004228,
        5.003696735569141,
        5.003718670134054,
        5.0037401278606,
        5.003762062425514,
        5.003783996990427,
        5.003805931555341,
        5.003827389281887,
        5.0038493238468,
        5.0038712584117135,
        5.003893192976627,
        5.003914650703173,
        5.003936585268087,
        5.0039585198330006,
        5.003979977559546,
        5.004001912124459,
        5.004023846689373,
        5.004045781254287,
        5.0040672389808325,
        5.004089173545746,
        5.004111108110659,
        5.004132565837205,
        5.004154500402119,
        5.004176434967032,
        5.004197892693578,
        5.004219827258492,
        5.004241761823406,
        5.0042632195499515,
        5.004285154114864,
        5.004307088679778,
        5.004328546406324,
        5.004350480971238,
        5.004372415536151,
        5.004393873262697,
        5.00441580782761,
        5.004437742392524,
        5.0044592001190695,
        5.004481134683983,
        5.004503069248897,
        5.004524526975443,
        5.0045464615403565,
        5.004568396105269,
        5.004589853831815,
        5.004611788396729,
        5.004633246123275,
        5.0046551806881885,
        5.004677115253102,
        5.004698572979648,
        5.004720507544561,
        5.004741965271108,
        5.00476389983602,
        5.004785834400934,
        5.00480729212748,
        5.004829226692394,
        5.0048506844189395,
        5.004872618983853,
        5.004894076710399,
        5.004916011275312,
        5.004937945840226,
        5.0049594035667715,
        5.004981338131685,
        5.005002795858231,
        5.005024730423145,
        5.005046188149691,
        5.005068122714604,
        5.00508958044115,
        5.005111515006063,
        5.005132972732609,
        5.0051549072975225,
        5.005176365024068,
        5.005198299588982,
        5.005219757315528,
        5.005241691880442,
        5.0052636264453545,
        5.005285084171901,
        5.005307018736814,
        5.00532847646336,
        5.005349934189906,
        5.005371868754819,
        5.005393326481365,
        5.005415261046279,
        5.005436718772825,
        5.0054586533377385,
        5.005480111064284,
        5.005502045629197,
        5.005523503355743,
        5.005545437920657,
        5.005566895647203,
        5.005588830212116,
        5.005610287938662,
        5.005632222503576,
        5.005653680230122,
        5.0056751379566675,
        5.005697072521581,
        5.005718530248127,
        5.00574046481304,
        5.005761922539586,
        5.0057838571044995,
        5.005805314831045,
        5.005826772557591,
        5.005848707122505,
        5.005870164849051,
        5.005892099413964,
        5.00591355714051,
        5.005935014867056,
        5.00595694943197,
        5.005978407158516,
        5.0060003417234284,
        5.006021799449974,
        5.00604325717652,
        5.006065191741434,
        5.00608664946798,
        5.0061081071945255,
        5.006130041759439,
        5.006151499485985,
        5.006172957212531,
        5.006194891777445,
        5.00621634950399,
        5.006238284068904,
        5.00625974179545,
        5.006281199521996,
        5.006303134086909,
        5.0063245918134545,
        5.00634604954,
        5.006367984104914,
        5.00638944183146,
        5.006410899558006,
        5.0064323572845515,
        5.006454291849465,
        5.006475749576011,
        5.006497207302557,
        5.006519141867471,
        5.006540599594016,
        5.006562057320562,
        5.006583991885476,
        5.006605449612022,
        5.006626907338568,
        5.0066483650651135,
        5.006670299630026,
        5.006691757356573,
        5.006713215083119,
        5.006734672809665,
        5.0067566073745775,
        5.006778065101123,
        5.006799522827669,
        5.006820980554215,
        5.006842915119129,
        5.0068643728456745,
        5.00688583057222,
        5.006907288298766,
        5.00692922286368,
        5.006950680590226,
        5.006972138316772,
        5.006993596043317,
        5.007015053769863,
        5.007036988334777,
        5.007058446061323,
        5.007079903787869,
        5.007101361514414,
        5.00712281924096,
        5.007144753805874,
        5.00716621153242,
        5.007187669258966,
        5.0072091269855115,
        5.007230584712057,
        5.00725251927697,
        5.007273977003517,
        5.007295434730063,
        5.0073168924566085,
        5.007338350183154,
        5.0073598079097,
        5.007381742474613,
        5.007403200201159,
        5.007424657927705,
        5.0074461156542505,
        5.007467573380796,
        5.007489031107342,
        5.007510488833888,
        5.007532423398802,
        5.0075538811253475,
        5.007575338851893,
        5.007596796578439,
        5.007618254304985,
        5.007639712031531,
        5.007661169758077,
        5.0076826274846225,
        5.007704085211168,
        5.007726019776082,
        5.007747477502628,
        5.007768935229174,
        5.0077903929557195,
        5.007811850682265,
        5.007833308408811,
        5.007854766135357,
        5.007876223861903,
        5.007897681588449,
        5.007919139314994,
        5.00794059704154,
        5.007962054768086,
        5.007983512494632,
        5.008004970221178,
        5.008026427947724,
        5.008047885674269,
        5.008069820239183,
        5.008091277965729,
        5.008112735692275,
        5.008134193418821,
        5.008155651145366,
        5.008177108871912,
        5.008198566598458,
        5.008220024325004,
        5.00824148205155,
        5.008262939778096,
        5.008284397504641,
        5.008305855231187,
        5.008327312957733,
        5.008348770684279,
        5.008370228410825,
        5.0083916861373705,
        5.008413143863916,
        5.008434601590462,
        5.008456059317008,
        5.008477517043554,
        5.0084989747701,
        5.0085199556582785,
        5.008541413384824,
        5.00856287111137,
        5.008584328837916,
        5.008605786564462,
        5.008627244291008,
        5.008648702017553,
        5.008670159744099,
        5.008691617470645,
        5.008713075197191,
        5.008734532923737,
        5.0087559906502825,
        5.008777448376828,
        5.008798906103374,
        5.00882036382992,
        5.008841344718098,
        5.008862802444644,
        5.00888426017119,
        5.008905717897735,
        5.008927175624281,
        5.008948633350827,
        5.008970091077373,
        5.008991548803919,
        5.0090130065304646,
        5.009033987418643,
        5.009055445145189,
        5.009076902871735,
        5.009098360598281,
        5.009119818324827,
        5.0091412760513725,
        5.009162733777918,
        5.009184191504464,
        5.009205172392642,
        5.009226630119188,
        5.009248087845734,
        5.0092695455722795,
        5.009291003298825,
        5.009312461025371,
        5.009333441913549,
        5.009354899640095,
        5.009376357366641,
        5.009397815093187,
        5.009419272819732,
        5.009440253707911,
        5.009461711434457,
        5.009483169161003,
        5.009504626887549,
        5.0095260846140945,
        5.0095470655022725,
        5.009568523228818,
        5.009589980955364,
        5.00961143868191,
        5.009632896408456,
        5.009653877296634,
        5.0096753350231795,
        5.009696792749725,
        5.009718250476271,
        5.00973923136445,
        5.009760689090996,
        5.009782146817542,
        5.0098036045440875,
        5.009824585432265,
        5.009846043158811,
        5.009867500885357,
        5.009888958611903,
        5.009909939500081,
        5.009931397226627,
        5.009952854953172,
        5.009973835841351,
        5.009995293567897,
        5.010016751294443,
        5.010038209020989,
        5.010059189909167,
        5.0100806476357125,
        5.010102105362258,
        5.010123086250436,
        5.010144543976982,
        5.010166001703528,
        5.010186982591706,
        5.0102084403182525,
        5.010229898044798,
        5.010250878932976,
        5.010272336659522,
        5.010293794386068,
        5.010314775274246,
        5.010336233000792,
        5.0103576907273375,
        5.010378671615515,
        5.010400129342061,
        5.010421587068607,
        5.010442567956786,
        5.010464025683332,
        5.0104854834098775,
        5.0105064642980555,
        5.010527922024601,
        5.010549379751147,
        5.010570360639325,
        5.010591818365871,
        5.01061279925405,
        5.0106342569805955,
        5.010655714707141,
        5.010676695595319,
        5.010698153321865,
        5.010719134210043,
        5.010740591936589,
        5.010762049663135,
        5.010783030551313,
        5.010804488277858,
        5.010825469166037,
        5.010846926892583,
        5.010867907780761,
        5.010889365507307,
        5.010910823233853,
        5.0109318041220305,
        5.010953261848576,
        5.010974242736755,
        5.010995700463301,
        5.011016681351479,
        5.011038139078025,
        5.011059119966203,
        5.0110805776927485,
        5.011101558580926,
        5.011123016307472,
        5.011143997195651,
        5.011165454922197,
        5.011186912648743,
        5.011207893536921,
        5.0112293512634665,
        5.011250332151644,
        5.01127178987819,
        5.011292770766368,
        5.011314228492915,
        5.011335209381093,
        5.011356667107639,
        5.0113776479958165,
        5.0113986288839945,
        5.01142008661054,
        5.011441067498719,
        5.011462525225265,
        5.011483506113443,
        5.011504963839989,
        5.011525944728167,
        5.011547402454712,
        5.01156838334289,
        5.011589841069436,
        5.011610821957615,
        5.011632279684161,
        5.011653260572339,
        5.011674241460517,
        5.0116956991870625,
        5.011716680075241,
        5.011738137801787,
        5.011759118689965,
        5.011780099578143,
        5.011801557304689,
        5.011822538192867,
        5.0118439959194125,
        5.011864976807591,
        5.011886434534137,
        5.011907415422315,
        5.011928396310493,
        5.011949854037039,
        5.011970834925217,
        5.011991815813396,
        5.012013273539941,
        5.012034254428119,
        5.012055712154665,
        5.012076693042843,
        5.012097673931022,
        5.012119131657568,
        5.012140112545746,
        5.012161093433924,
        5.012182551160469,
        5.012203532048647,
        5.012224512936826,
        5.012245970663372,
        5.01226695155155,
        5.012287932439728,
        5.012309390166274,
        5.012330371054452,
        5.01235135194263,
        5.012372809669176,
        5.012393790557354,
        5.012414771445532,
        5.012436229172078,
        5.012457210060256,
        5.012478190948435,
        5.01249964867498,
        5.012520629563158,
        5.012541610451336,
        5.012562591339515,
        5.012584049066061,
        5.012605029954239,
        5.012626010842417,
        5.012646991730595,
        5.0126684494571405,
        5.012689430345319,
        5.012710411233497,
        5.012731868960043,
        5.012752849848221,
        5.012773830736399,
        5.012794811624578,
        5.012816269351124,
        5.0128372502393015,
        5.012858231127479,
        5.012879212015657,
        5.012900192903836,
        5.012921650630382,
        5.01294263151856,
        5.012963612406738,
        5.012984593294917,
        5.0130060510214625,
        5.01302703190964,
        5.013048012797818,
        5.013068993685996,
        5.013089974574175,
        5.013111432300721,
        5.013132413188899,
        5.013153394077077,
        5.013174374965255,
        5.0131953558534335,
        5.013216336741611,
        5.013237794468157,
        5.013258775356335,
        5.013279756244513,
        5.013300737132692,
        5.01332171802087,
        5.013342698909048,
        5.0133641566355935,
        5.013385137523772,
        5.01340611841195,
        5.013427099300128,
        5.013448080188306,
        5.013469061076485,
        5.013490041964663,
        5.013511022852841,
        5.013532480579387,
        5.0135534614675645,
        5.013574442355743,
        5.013595423243921,
        5.013616404132099,
        5.013637385020277,
        5.013658365908456,
        5.013679346796634,
        5.013700327684812,
        5.013721785411358,
        5.0137427662995355,
        5.013763747187714,
        5.013784728075892,
        5.01380570896407,
        5.013826689852249,
        5.013847670740427,
        5.013868651628605,
        5.013889632516783,
        5.013910613404962,
        5.0139315942931395,
        5.013952575181317,
        5.013973556069495,
        5.013994536957674,
        5.014015517845852,
        5.01403649873403,
        5.014057479622208,
        5.014078937348754,
        5.014099918236933,
        5.0141208991251105,
        5.014141880013288,
        5.014162860901466,
        5.014183841789645,
        5.014204822677823,
        5.014225803566001,
        5.014246784454179,
        5.014267765342358,
        5.014288746230536,
        5.014309727118714,
        5.014330708006892,
        5.01435168889507,
        5.014372669783248,
        5.014393650671426,
        5.014414631559605,
        5.014435135609415,
        5.014456116497593,
        5.014477097385772,
        5.01449807827395,
        5.014519059162128,
        5.0145400400503055,
        5.014561020938484,
        5.014582001826662,
        5.01460298271484,
        5.014623963603018,
        5.014644944491197,
        5.014665925379375,
        5.014686906267553,
        5.014707887155731,
        5.0147288680439095,
        5.014749848932087,
        5.014770829820265,
        5.014791333870076,
        5.014812314758254,
        5.014833295646432,
        5.014854276534611,
        5.014875257422789,
        5.014896238310967,
        5.014917219199145,
        5.0149382000873235,
        5.014959180975501,
        5.014979685025311,
        5.01500066591349,
        5.015021646801668,
        5.015042627689846,
        5.015063608578024,
        5.015084589466203,
        5.015105570354381,
        5.015126551242559,
        5.01514705529237,
        5.0151680361805475,
        5.015189017068725,
        5.015209997956903,
        5.015230978845082,
        5.01525195973326,
        5.015272463783071,
        5.015293444671249,
        5.015314425559427,
        5.015335406447605,
        5.015356387335784,
        5.015376891385594,
        5.0153978722737715,
        5.01541885316195,
        5.015439834050128,
        5.015460814938306,
        5.015481318988117,
        5.015502299876295,
        5.015523280764473,
        5.015544261652651,
        5.01556524254083,
        5.01558574659064,
        5.015606727478818,
        5.0156277083669965,
        5.015648689255174,
        5.015669193304984,
        5.015690174193163,
        5.015711155081341,
        5.015732135969519,
        5.01575264001933,
        5.015773620907508,
        5.015794601795686,
        5.015815582683865,
        5.015836086733675,
        5.015857067621853,
        5.015878048510031,
        5.015899029398209,
        5.015919533448019,
        5.015940514336198,
        5.015961495224376,
        5.015981999274186,
        5.016002980162365,
        5.016023961050543,
        5.016044941938721,
        5.016065445988532,
        5.01608642687671,
        5.0161074077648875,
        5.016127911814698,
        5.016148892702876,
        5.018993710404487,
        5.022505148144122,
        5.0225866875049965,
        5.022606714716439,
        5.0226272187662495,
        5.0226477228160595,
        5.0226882540773135,
        5.0227287853385665,
        5.0227488125500095,
        5.0227693165998195,
        5.02278982064963,
        5.022809847861073,
        5.0228303519108835,
        5.0228503791223265,
        5.0228708831721365,
        5.0228909103835795,
        5.02291141443339,
        5.0229314416448325,
        5.022951945694643,
        5.022971972906086,
        5.0229924769558965,
        5.0230125041673395,
        5.0230330082171495,
        5.0230530354285925,
        5.023073539478403,
        5.0230935666898455,
        5.023114070739656,
        5.023134097951099,
        5.0231546020009095,
        5.0231746292123525,
        5.0231951332621625,
        5.0232151604736055,
        5.023235664523416,
        5.0232556917348585,
        5.023276195784669,
        5.0232962229961124,
        5.0233167270459225,
        5.0233367542573655,
        5.0233572583071755,
        5.0233772855186185,
        5.023397789568429,
        5.0234178167798715,
        5.0234383208296824,
        5.0234583480411255,
        5.023478375252568,
        5.0234988793023785,
        5.0235189065138215,
        5.0235394105636315,
        5.0235594377750745,
        5.0235799418248845,
        5.0235999690363276,
        5.023619996247771,
        5.023640500297581,
        5.023660527509024,
        5.0236810315588345,
        5.023701058770277,
        5.02372108598172,
        5.0237415900315305,
        5.023761617242973,
        5.023782121292784,
        5.023802148504227,
        5.023822175715669,
        5.02384267976548,
        5.023862706976923,
        5.023883211026733,
        5.023903238238176,
        5.023923265449619,
        5.023943769499429,
        5.023963796710872,
        5.023983823922315,
        5.024004327972125,
        5.024024355183568,
        5.024044382395011,
        5.024064886444821,
        5.024084913656264,
        5.024104940867707,
        5.024125444917517,
        5.02414547212896,
        5.024165499340403,
        5.024186003390213,
        5.024206030601656,
        5.024226057813099,
        5.024246561862909,
        5.024266589074352,
        5.024286616285795,
        5.024307120335605,
        5.024327147547048,
        5.024347174758491,
        5.024367678808301,
        5.024387706019744,
        5.024407733231187,
        5.024427760442629,
        5.02444826449244,
        5.024468291703883,
        5.024488318915325,
        5.024508346126768,
        5.024528850176579,
        5.024548877388021,
        5.024568904599464,
        5.024588931810907,
        5.024609435860717,
        5.02462946307216,
        5.024649490283603,
        5.024669517495046,
        5.024690021544856,
        5.024710048756299,
        5.024730075967742,
        5.024750103179184,
        5.024770607228995,
        5.024790634440438,
        5.02481066165188,
        5.024830688863323,
        5.024850716074766,
        5.024871220124576,
        5.024891247336019,
        5.0249112745474624,
        5.0249313017589055,
        5.024951328970348,
        5.0249718330201585,
        5.0249918602316015,
        5.025011887443044,
        5.025031914654487,
        5.02505194186593,
        5.02507244591574,
        5.025092473127183,
        5.025112500338626,
        5.025132527550069,
        5.025152554761511,
        5.025172581972954,
        5.025192609184397,
        5.025213113234207,
        5.02523314044565,
        5.025253167657093,
        5.025273194868536,
        5.025293222079978,
        5.025313249291421,
        5.025333276502864,
        5.025353780552674,
        5.025373807764117,
        5.02539383497556,
        5.025413862187003,
        5.025433889398445,
        5.025453916609888,
        5.025473943821331,
        5.025493971032774,
        5.025513998244216,
        5.025534502294027,
        5.02555452950547,
        5.025574556716912,
        5.025594583928355,
        5.025614611139798,
        5.025634638351241,
        5.0256546655626835,
        5.0256746927741265,
        5.0256947199855695,
        5.0257147471970125,
        5.025734774408455,
        5.025754801619898,
        5.025774828831341,
        5.025794856042784,
        5.025814883254226,
        5.025835387304037,
        5.02585541451548,
        5.025875441726922,
        5.025895468938365,
        5.025915496149808,
        5.025935523361251,
        5.025955550572693,
        5.025975577784136,
        5.025995604995579,
        5.026015632207022,
        5.026035659418464,
        5.026055686629907,
        5.02607571384135,
        5.026095741052793,
        5.026115768264235,
        5.026135795475678,
        5.026155822687121,
        5.026175849898564,
        5.026195877110006,
        5.026215904321449,
        5.026235931532892,
        5.026255958744335,
        5.0262759859557775,
        5.0262960131672205,
        5.026315563540296,
        5.026335590751739,
        5.026355617963182,
        5.026375645174624,
        5.026395672386067,
        5.02641569959751,
        5.026435726808953,
        5.026455754020395,
        5.026475781231838,
        5.026495808443281,
        5.026515835654724,
        5.026535862866166,
        5.026555890077609,
        5.026575917289052,
        5.026595944500495,
        5.02661549487357,
        5.026635522085012,
        5.026655549296455,
        5.026675576507898,
        5.026695603719341,
        5.026715630930783,
        5.0267356581422264,
        5.0267556853536695,
        5.0267757125651125,
        5.026795739776555,
        5.02681529014963,
        5.026835317361073,
        5.026855344572516,
        5.026875371783959,
        5.026895398995401,
        5.026915426206844,
        5.026935453418287,
        5.026955003791362,
        5.026975031002805,
        5.026995058214247,
        5.02701508542569,
        5.027035112637133,
        5.027055139848576,
        5.027074690221651,
        5.027094717433093,
        5.027114744644536,
        5.027134771855979,
        5.027154799067422,
        5.0271748262788645,
        5.02719437665194,
        5.027214403863383,
        5.027234431074826,
        5.027254458286269,
        5.027274485497711,
        5.027294035870786,
        5.027314063082229,
        5.027334090293672,
        5.027354117505115,
        5.027374144716557,
        5.027393695089632,
        5.027413722301075,
        5.027433749512518,
        5.027453776723961,
        5.027473327097036,
        5.027493354308478,
        5.027513381519921,
        5.027533408731364,
        5.0275529591044394,
        5.0275729863158825,
        5.027593013527325,
        5.027613040738768,
        5.027632591111843,
        5.028846383176786,
        5.030737285723842,
        5.030776386469992,
        5.030855064800661,
        5.030874615173736,
        5.030894642385178,
        5.030914192758253,
        5.030933743131328,
        5.030953293504403,
        5.030972843877478,
        5.0309923942505534,
        5.0310124214619965,
        5.031031971835072,
        5.031051522208147,
        5.031071072581222,
        5.031090622954297,
        5.031110173327372,
        5.031129723700447,
        5.03114975091189,
        5.031169301284965,
        5.03118885165804,
        5.031208402031115,
        5.0312279524041905,
        5.031247502777266,
        5.031267053150341,
        5.031286603523416,
        5.031306630734858,
        5.031326181107933,
        5.031345731481008,
        5.031365281854083,
        5.031384832227158,
        5.0314043826002335,
        5.031423932973309,
        5.031443483346384,
        5.031463033719459,
        5.031482584092534,
        5.031502134465609,
        5.031521684838684,
        5.031541712050127,
        5.031561262423202,
        5.031580812796277,
        5.031600363169352,
        5.0316199135424275,
        5.031639463915503,
        5.031659014288578,
        5.031678564661653,
        5.031698115034728,
        5.031717665407803,
        5.031737215780878,
        5.031756766153953,
        5.031776316527028,
        5.0319718202577794,
        5.0319913706308546,
        5.03201092100393,
        5.032030471377005,
        5.03205002175008,
        5.032069572123155,
        5.03208912249623,
        5.032108672869305,
        5.03212822324238,
        5.032147773615455,
        5.0321673239885305,
        5.032186874361606,
        5.032206424734681,
        5.032225975107756,
        5.032245525480831,
        5.032265075853906,
        5.032284626226981,
        5.032304176600056,
        5.032323726973131,
        5.0323432773462065,
        5.032362350880914,
        5.032381901253989,
        5.032401451627064,
        5.032421002000139,
        5.032440552373214,
        5.032460102746289,
        5.032479653119364,
        5.032499203492439,
        5.0325187538655145,
        5.03253830423859,
        5.032557854611665,
        5.032576928146372,
        5.032596478519447,
        5.032616028892522,
        5.032635579265597,
        5.032655129638672,
        5.0326746800117474,
        5.0326942303848226,
        5.032713780757898,
        5.032732854292605,
        5.03275240466568,
        5.032771955038755,
        5.03279150541183,
        5.032811055784905,
        5.03283060615798,
        5.0328501565310555,
        5.032869230065764,
        5.032888780438839,
        5.032908330811914,
        5.032927881184989,
        5.032947431558064,
        5.032966981931139,
        5.032986055465846,
        5.033005605838921,
        5.0330251562119965,
        5.033044706585072,
        5.033064256958147,
        5.033083330492854,
        5.033102880865929,
        5.033122431239004,
        5.033141981612079,
        5.033161531985154,
        5.033180605519862,
        5.033200155892937,
        5.033219706266012,
        5.033239256639087,
        5.033258807012162,
        5.033277880546869,
        5.033297430919944,
        5.033316981293019,
        5.0333365316660945,
        5.033355605200803,
        5.033375155573878,
        5.033394705946953,
        5.033414256320028,
        5.033433329854735,
        5.03345288022781,
        5.033472430600885,
        5.0334919809739604,
        5.033511054508668,
        5.033530604881743,
        5.033550155254818,
        5.033569705627893,
        5.0335887791626,
        5.033608329535675,
        5.03362787990875,
        5.0336469534434585,
        5.033666503816534,
        5.033686054189609,
        5.033705604562684,
        5.033724678097391,
        5.033744228470466,
        5.033763778843541,
        5.033782852378248,
        5.0338024027513235,
        5.033821953124399,
        5.033841026659106,
        5.033860577032181,
        5.033880127405256,
        5.033899200939963,
        5.033918751313038,
        5.0339383016861134,
        5.0339573752208215,
        5.033976925593897,
        5.033996475966972,
        5.034015549501679,
        5.034035099874754,
        5.034054650247829,
        5.034073723782536,
        5.0340932741556115,
        5.034112347690319,
        5.034131898063394,
        5.034151448436469,
        5.034170521971177,
        5.034190072344252,
        5.034209622717327,
        5.034228696252034,
        5.0342482466251095,
        5.034267320159817,
        5.034286870532892,
        5.034306420905967,
        5.034325494440674,
        5.034345044813749,
        5.034364118348456,
        5.0343836687215315,
        5.03440274225624,
        5.034422292629315,
        5.03444184300239,
        5.034460916537097,
        5.034480466910172,
        5.034499540444879,
        5.0345190908179545,
        5.034538164352662,
        5.034557714725737,
        5.034577265098812,
        5.03459633863352,
        5.034615889006595,
        5.034634962541302,
        5.034654512914377,
        5.034673586449085,
        5.03469313682216,
        5.034712210356867,
        5.034731760729942,
        5.03475083426465,
        5.034770384637725,
        5.034789458172432,
        5.0348090085455075,
        5.034828082080215,
        5.03484763245329,
        5.034866705987997,
        5.034886256361072,
        5.034905329895779,
        5.034924880268854,
        5.0349439538035625,
        5.034963504176638,
        5.034982577711345,
        5.03500212808442,
        5.035021201619127,
        5.035040751992202,
        5.0350598255269094,
        5.0350793758999846,
        5.035098449434693,
        5.035117999807768,
        5.035137073342475,
        5.035156146877182,
        5.035175697250257,
        5.0351947707849645,
        5.03521432115804,
        5.035233394692748,
        5.035252945065823,
        5.03527201860053,
        5.035291568973605,
        5.035310642508312,
        5.0353297160430195,
        5.035349266416095,
        5.035368339950802,
        5.035387890323877,
        5.035406963858585,
        5.035426037393292,
        5.035445587766367,
        5.0354646613010745,
        5.03548421167415,
        5.035503285208857,
        5.035522358743565,
        5.03554190911664,
        5.035560982651347,
        5.035580533024422,
        5.0355996065591295,
        5.035618680093837,
        5.035638230466912,
        5.03565730400162,
        5.035676377536327,
        5.035695927909402,
        5.035715001444109,
        5.035734074978817,
        5.035753625351892,
        5.0357726988866,
        5.035792249259675,
        5.035811322794382,
        5.035830396329089,
        5.0358499467021645,
        5.035869020236872,
        5.035888093771579,
        5.035907167306287,
        5.035926717679362,
        5.035945791214069,
        5.0359648647487765,
        5.035984415121852,
        5.036003488656559,
        5.036022562191267,
        5.036042112564342,
        5.036061186099049,
        5.036080259633756,
        5.0360998100068315,
        5.036118883541539,
        5.036137957076247,
        5.036157030610954,
        5.036176580984029,
        5.036195654518736,
        5.0362147280534435,
        5.036233801588152,
        5.036253351961226,
        5.036272425495934,
        5.036291499030641,
        5.036310572565348,
        5.036330122938423,
        5.036349196473131,
        5.036368270007839,
        5.036387343542546,
        5.036406893915621,
        5.036425967450328,
        5.036445040985035,
        5.0364641145197435,
        5.036483664892819,
        5.036502738427526,
        5.036521811962233,
        5.03654088549694,
        5.036559959031648,
        5.036579509404723,
        5.036598582939431,
        5.036617656474138,
        5.036636730008845,
        5.036655803543553,
        5.036675353916627,
        5.036694427451335,
        5.036713500986043,
        5.03673257452075,
        5.036751648055457,
        5.036771198428532,
        5.03679027196324,
        5.0368093454979475,
        5.036828419032655,
        5.036847492567362,
        5.03686656610207,
        5.036886116475145,
        5.036905190009852,
        5.0369242635445595,
        5.036943337079267,
        5.036962410613975,
        5.036981484148682,
        5.037000557683389,
        5.037020108056464,
        5.0370391815911715,
        5.03705825512588,
        5.037077328660587,
        5.037096402195294,
        5.037115475730001,
        5.037134549264708,
        5.0371536227994165,
        5.037172696334124,
        5.037192246707199,
        5.037211320241906,
        5.037230393776613,
        5.037249467311321,
        5.0372685408460285,
        5.037287614380736,
        5.037306687915443,
        5.037325761450151,
        5.037344834984858,
        5.037363908519565,
        5.037382982054273,
        5.037402055588981,
        5.037421605962056,
        5.037440679496763,
        5.03745975303147,
        5.037478826566177,
        5.037497900100885,
        5.037516973635593,
        5.0375360471703,
        5.037555120705007,
        5.037574194239714,
        5.037593267774422,
        5.03761234130913,
        5.037631414843837,
        5.037650488378544,
        5.037669561913252,
        5.037688635447959,
        5.0377077089826665,
        5.037726782517374,
        5.037745856052082,
        5.037764929586789,
        5.037784003121496,
        5.037803076656203,
        5.0378221501909115,
        5.037841223725619,
        5.037860297260326,
        5.037879370795033,
        5.03789844432974,
        5.037917517864448,
        5.037936591399156,
        5.037955664933863,
        5.03797473846857,
        5.037993812003278,
        5.038012885537985,
        5.0380319590726925,
        5.0380510326074,
        5.038070106142108,
        5.038089179676815,
        5.038108253211522,
        5.038127326746229,
        5.03814592344257,
        5.038164996977277,
        5.038184070511984,
        5.038203144046692,
        5.038222217581399,
        5.0382412911161065,
        5.038260364650814,
        5.038279438185521,
        5.038298511720229,
        5.038317585254936,
        5.038336658789643,
        5.038355732324351,
        5.038374329020691,
        5.038393402555398,
        5.038412476090105,
        5.038431549624813,
        5.0384506231595205,
        5.038469696694228,
        5.038488770228935,
        5.038507843763643,
        5.03852691729835,
        5.0385455139946895,
        5.038564587529398,
        5.038583661064105,
        5.038602734598812,
        5.038621808133519,
        5.038640881668226,
        5.0386599552029345,
        5.038678551899274,
        5.038697625433981,
        5.038716698968689,
        5.038735772503396,
        5.0387548460381035,
        5.038773919572811,
        5.038792516269151,
        5.038811589803858,
        5.038830663338565,
        5.038849736873273,
        5.038868810407981,
        5.03888740710432,
        5.038906480639028,
        5.038925554173735,
        5.038944627708442,
        5.03896370124315,
        5.03898229793949,
        5.039001371474197,
        5.039020445008904,
        5.039039518543611,
        5.0390585920783195,
        5.039077188774659,
        5.039096262309366,
        5.039115335844074,
        5.042325411735331,
        5.046218320169115,
        5.0462412084107635,
        5.046263619814045,
        5.046286031217326,
        5.046308919458975,
        5.046331330862256,
        5.046353742265538,
        5.0463761536688185,
        5.046399041910467,
        5.046421453313749,
        5.04644386471703,
        5.046466276120311,
        5.04648916436196,
        5.0465115757652415,
        5.046533987168522,
        5.046556398571804,
        5.046578809975085,
        5.046601698216734,
        5.046624109620015,
        5.0466465210232965,
        5.046668932426577,
        5.046691820668227,
        5.0467142320715075,
        5.046736643474789,
        5.04675905487807,
        5.0467814662813515,
        5.046803877684632,
        5.046826765926282,
        5.0468491773295625,
        5.046871588732844,
        5.046894000136125,
        5.0469164115394065,
        5.046938822942687,
        5.046961711184336,
        5.0469841225876175,
        5.047006533990899,
        5.04702894539418,
        5.0470513567974615,
        5.047073768200742,
        5.047096656442391,
        5.0471190678456725,
        5.047141479248953,
        5.047163890652235,
        5.0471863020555165,
        5.047208713458797,
        5.047231124862079,
        5.04725353626536,
        5.047275947668641,
        5.04729883591029,
        5.047321247313571,
        5.047343658716852,
        5.047366070120133,
        5.047388481523415,
        5.047410892926696,
        5.047433304329977,
        5.047455715733259,
        5.047478127136539,
        5.047500538539821,
        5.047522949943102,
        5.047545361346383,
        5.047568249588032,
        5.047590660991314,
        5.0476130723945944,
        5.047635483797876,
        5.047657895201157,
        5.0476803066044384,
        5.047702718007719,
        5.047725129411001,
        5.047747540814282,
        5.047769952217563,
        5.047792363620844,
        5.047814775024126,
        5.047837186427406,
        5.047859597830688,
        5.047882009233969,
        5.04790442063725,
        5.047926832040531,
        5.047949243443813,
        5.047971654847094,
        5.047994066250375,
        5.048016477653657,
        5.048038889056937,
        5.048061300460219,
        5.0480837118635,
        5.048106123266781,
        5.048128534670062,
        5.048150946073344,
        5.0481733574766245,
        5.048195768879906,
        5.048218180283187,
        5.0482405916864685,
        5.048263003089749,
        5.048285414493031,
        5.048307349057945,
        5.048329760461225,
        5.048352171864507,
        5.048374583267788,
        5.048396994671069,
        5.04841940607435,
        5.048441817477632,
        5.0484642288809125,
        5.048486640284194,
        5.048509051687475,
        5.0485314630907565,
        5.048687866075357,
        5.048710277478638,
        5.04873268888192,
        5.048755100285201,
        5.048777034850114,
        5.048799446253396,
        5.048821857656677,
        5.048844269059958,
        5.048866680463239,
        5.048889091866521,
        5.048911026431434,
        5.048933437834715,
        5.048955849237997,
        5.048978260641277,
        5.049000672044559,
        5.04902308344784,
        5.0490450180127535,
        5.049067429416035,
        5.049089840819316,
        5.0491122522225975,
        5.049134663625878,
        5.049156598190792,
        5.049179009594074,
        5.049201420997354,
        5.049223832400636,
        5.049246243803917,
        5.0492681783688305,
        5.049290589772111,
        5.049313001175393,
        5.049335412578674,
        5.049357823981955,
        5.049379758546869,
        5.04940216995015,
        5.049424581353431,
        5.049446992756712,
        5.049468927321626,
        5.049491338724907,
        5.049513750128188,
        5.04953616153147,
        5.0495580960963835,
        5.049580507499664,
        5.049602918902946,
        5.049624853467859,
        5.04964726487114,
        5.049669676274421,
        5.049692087677703,
        5.0497140222426165,
        5.049736433645897,
        5.049758845049179,
        5.0497807796140926,
        5.049803191017373,
        5.049825602420655,
        5.049848013823936,
        5.049869948388849,
        5.04989235979213,
        5.049914771195412,
        5.0499367057603255,
        5.049959117163606,
        5.049981528566888,
        5.050003463131802,
        5.050025874535082,
        5.050048285938364,
        5.050070220503277,
        5.050092631906558,
        5.050115043309839,
        5.050136977874753,
        5.0501593892780345,
        5.050181323842948,
        5.050203735246229,
        5.050226146649511,
        5.0502480812144235,
        5.050270492617705,
        5.050292904020986,
        5.0503148385859,
        5.050337249989181,
        5.050359184554094,
        5.050381595957376,
        5.050404007360657,
        5.05042594192557,
        5.050448353328852,
        5.0504702878937655,
        5.050492699297046,
        5.050515110700328,
        5.050537045265241,
        5.050559456668522,
        5.050581391233436,
        5.050603802636717,
        5.0506257372016305,
        5.050648148604912,
        5.050670083169825,
        5.050692494573107,
        5.050714905976387,
        5.050736840541301,
        5.050759251944583,
        5.050781186509496,
        5.050803597912777,
        5.050825532477691,
        5.050847943880972,
        5.050869878445885,
        5.050892289849167,
        5.05091422441408,
        5.0509366358173615,
        5.050958570382275,
        5.050980981785556,
        5.05100291635047,
        5.051025327753751,
        5.051047262318664,
        5.051069673721946,
        5.0510916082868595,
        5.05111401969014,
        5.051135954255054,
        5.051158365658335,
        5.0511803002232485,
        5.05120271162653,
        5.051224646191443,
        5.051247057594725,
        5.051268992159638,
        5.051291403562919,
        5.051313338127833,
        5.0513352726927465,
        5.051357684096027,
        5.051379618660941,
        5.051402030064223,
        5.0514239646291355,
        5.051446376032417,
        5.051468310597331,
        5.0514902451622445,
        5.051512656565525,
        5.051534591130439,
        5.05155700253372,
        5.0515789370986335,
        5.051600871663547,
        5.051623283066828,
        5.051645217631742,
        5.051667629035023,
        5.051689563599937,
        5.05171149816485,
        5.0517339095681315,
        5.051755844133045,
        5.051778255536326,
        5.05180019010124,
        5.051822124666153,
        5.051844536069434,
        5.051866470634348,
        5.051888405199262,
        5.051910816602542,
        5.051932751167456,
        5.05195468573237,
        5.051977097135651,
        5.051999031700564,
        5.052020966265478,
        5.052043377668759,
        5.0520653122336725,
        5.052087246798586,
        5.052109658201867,
        5.052131592766781,
        5.052153527331694,
        5.052175938734976,
        5.052197873299889,
        5.052219807864803,
        5.052242219268084,
        5.052264153832997,
        5.052286088397911,
        5.0523080229628246,
        5.052330434366105,
        5.052352368931019,
        5.052374303495933,
        5.052396714899214,
        5.052418649464127,
        5.052440584029041,
        5.052462518593955,
        5.052484929997235,
        5.052506864562149,
        5.052528799127063,
        5.052550733691977,
        5.052573145095257,
        5.052595079660171,
        5.052617014225085,
        5.0526389487899985,
        5.052661360193279,
        5.052683294758193,
        5.052705229323107,
        5.05272716388802,
        5.052749098452933,
        5.052771509856215,
        5.052793444421129,
        5.0528153789860415,
        5.052837313550955,
        5.052859248115869,
        5.05288165951915,
        5.052903594084063,
        5.052925528648977,
        5.052947463213891,
        5.052969397778804,
        5.052991809182085,
        5.053013743746999,
        5.053035678311913,
        5.053057612876826,
        5.053079547441739,
        5.053101482006653,
        5.053123893409934,
        5.053145827974848,
        5.053167762539761,
        5.053189697104675,
        5.053211631669588,
        5.053233566234502,
        5.053255500799415,
        5.053277435364329,
        5.05329984676761,
        5.0533217813325235,
        5.053343715897437,
        5.053365650462351,
        5.053387585027264,
        5.0534095195921775,
        5.053431454157091,
        5.053453388722005,
        5.053475323286918,
        5.0534977346901995,
        5.053519669255113,
        5.053541603820027,
        5.05356353838494,
        5.0535854729498535,
        5.053607407514767,
        5.053629342079681,
        5.053651276644594,
        5.0536732112095075,
        5.053695145774421,
        5.053717080339335,
        5.053739014904249,
        5.0537609494691615,
        5.053782884034075,
        5.053804818598989,
        5.053826753163903,
        5.0538491645671835,
        5.053871099132097,
        5.053893033697011,
        5.053914968261924,
        5.0539369028268375,
        5.053958837391751,
        5.053980771956665,
        5.054002706521579,
        5.0540246410864915,
        5.054046575651405,
        5.054068510216319,
        5.054090444781233,
        5.0541123793461455,
        5.054134313911059,
        5.054156248475973,
        5.054178183040887,
        5.0542001176058005,
        5.054222052170713,
        5.054243986735627,
        5.054265444462173,
        5.054287379027087,
        5.054309313592,
        5.054331248156913,
        5.054353182721827,
        5.054375117286741,
        5.054397051851654,
        5.054418986416567,
        5.054440920981481,
        5.054462855546395,
        5.054484790111308,
        5.054506724676222,
        5.054528659241135,
        5.054550593806049,
        5.054572528370962,
        5.054594462935876,
        5.054615920662422,
        5.054637855227335,
        5.0546597897922485,
        5.054681724357162,
        5.054703658922076,
        5.05472559348699,
        5.0547475280519025,
        5.054769462616816,
        5.05479139718173,
        5.054812854908276,
        5.0548347894731895,
        5.054856724038102,
        5.054878658603016,
        5.05490059316793,
        5.054922527732844,
        5.054944462297757,
        5.054965920024303,
        5.054987854589216,
        5.05500978915413,
        5.055031723719043,
        5.055053658283957,
        5.05507559284887,
        5.055097050575416,
        5.0551189851403295,
        5.055140919705243,
        5.055162854270157,
        5.055184788835071,
        5.055206723399984,
        5.055228181126529,
        5.055250115691443,
        5.055272050256357,
        5.055293984821271,
        5.055315919386183,
        5.055337377112729,
        5.055359311677643,
        5.055381246242557,
        5.05540318080747,
        5.055424638534016,
        5.05544657309893,
        5.055468507663843,
        5.0554904422287565,
        5.05551237679367,
        5.055533834520216,
        5.05555576908513,
        5.055577703650043,
        5.055599638214956,
        5.055621095941502,
        5.055643030506416,
        5.05566496507133,
        5.0556864227978755,
        5.055708357362789,
        5.055730291927702,
        5.055752226492616,
        5.055773684219162,
        5.055795618784075,
        5.055817553348989,
        5.055839487913902,
        5.055860945640448,
        5.0558828802053615,
        5.055904814770275,
        5.055926272496821,
        5.055948207061735,
        5.0559701416266485,
        5.055991599353194,
        5.056013533918107,
        5.056035468483021,
        5.056056926209567,
        5.05607886077448,
        5.056100795339394,
        5.05612225306594,
        5.056144187630853,
        5.0561661221957666,
        5.056187579922312,
        5.056209514487226,
        5.05623144905214,
        5.056252906778686,
        5.056274841343599,
        5.056296775908512,
        5.056318233635058,
        5.056340168199972,
        5.056361625926518,
        5.056383560491431,
        5.056405495056345,
        5.056426952782891,
        5.056448887347804,
        5.05647034507435,
        5.056492279639263,
        5.056514214204177,
        5.056535671930723,
        5.056557606495637,
        5.056579064222182,
        5.056600998787096,
        5.056622933352009,
        5.056644391078555,
        5.0566663256434685,
        5.056687783370014,
        5.056709717934928,
        5.056731175661474,
        5.056753110226388,
        5.0567745679529335,
        5.056796502517847,
        5.05681843708276,
        5.056839894809306,
        5.05686182937422,
        5.056883287100765,
        5.056905221665679,
        5.056926679392225,
        5.056948613957139,
        5.0569700716836845,
        5.056992006248597,
        5.057013463975144,
        5.057035398540057,
        5.057056856266603,
        5.0570787908315165,
        5.057100248558062,
        5.057122183122976,
        5.057143640849522,
        5.057165575414436,
        5.057187033140981,
        5.057208967705894,
        5.05723042543244,
        5.057252359997354,
        5.0572738177239,
        5.057295752288813,
        5.057317210015359,
        5.057339144580273,
        5.057360602306819,
        5.0573820600333645,
        5.057403994598278,
        5.057425452324824,
        5.057447386889737,
        5.057468844616283,
        5.0574907791811965,
        5.057512236907742,
        5.057534171472656,
        5.057555629199202,
        5.057577086925748,
        5.057599021490661,
        5.057620479217207,
        5.057642413782121,
        5.057663871508667,
        5.057685329235213,
        5.0577072638001255,
        5.057728721526671,
        5.057750656091585,
        5.057772113818131,
        5.057793571544677,
        5.05781550610959,
        5.057836963836136,
        5.057858421562682,
        5.057880356127596,
        5.057901813854142,
        5.057923748419055,
        5.057945206145601,
        5.057966663872147,
        5.05798859843706,
        5.058010056163606,
        5.0580315138901515,
        5.058053448455065,
        5.058074906181611,
        5.058096363908157,
        5.058118298473071,
        5.058139756199616,
        5.058161213926162,
        5.058183148491076,
        5.058204606217622,
        5.058226063944168,
        5.058247998509081,
        5.058269456235627,
        5.058290913962173,
        5.058312371688719,
        5.058334306253632,
        5.0583557639801775,
        5.058377221706723,
        5.058399156271637,
        5.058420613998183,
        5.058442071724729,
        5.0584635294512745,
        5.058485464016188,
        5.058506921742734,
        5.05852837946928,
        5.058550314034194,
        5.0585717717607395,
        5.058593229487285,
        5.058614687213831,
        5.058636621778745,
        5.058658079505291,
        5.0586795372318365,
        5.058700994958382,
        5.058722452684928,
        5.058744387249842,
        5.058765844976388,
        5.0587873027029335,
        5.058808760429479,
        5.058830694994392,
        5.058852152720938,
        5.058873610447484,
        5.05889506817403,
        5.0589165259005755,
        5.058938460465489,
        5.058959918192035,
        5.058981375918581,
        5.059002833645127,
        5.0590242913716725,
        5.059045749098218,
        5.059067683663132,
        5.059089141389678,
        5.059110599116224,
        5.05913205684277,
        5.059153514569315,
        5.059174972295861,
        5.059196906860775,
        5.059218364587321,
        5.059239822313867,
        5.059261280040412,
        5.059282737766958,
        5.059304195493504,
        5.05932565322005,
        5.059347587784964,
        5.0593690455115095,
        5.059390503238055,
        5.059411960964601,
        5.059433418691147,
        5.059454876417693,
        5.059476334144239,
        5.059497791870784,
        5.05951924959733,
        5.059541184162244,
        5.05956264188879,
        5.059584099615336,
        5.059605557341881,
        5.059627015068427,
        5.059648472794973,
        5.059669930521519,
        5.059691388248065,
        5.059712845974611,
        5.059734303701156,
        5.059755761427702,
        5.059777219154248,
        5.059798676880794,
        5.05982013460734,
        5.0598415923338855,
        5.059863526898799,
        5.059884984625345,
        5.060549697309898,
        5.0605711550364445,
        5.06059261276299,
        5.060614070489536,
        5.060635528216082,
        5.060656985942628,
        5.060677966830806,
        5.0606994245573516,
        5.060720882283897,
        5.060742340010443,
        5.060763797736989,
        5.060785255463535,
        5.060806713190081,
        5.0608281709166265,
        5.060849628643172,
        5.06087060953135,
        5.060892067257896,
        5.060913524984442,
        5.060934982710988,
        5.060956440437534,
        5.060977898164079,
        5.060999355890625,
        5.061020336778804,
        5.06104179450535,
        5.061063252231896,
        5.0610847099584415,
        5.061106167684987,
        5.061127625411533,
        5.061148606299711,
        5.061170064026257,
        5.061191521752803,
        5.061212979479349,
        5.061234437205894,
        5.06125589493244,
        5.061276875820618,
        5.061298333547164,
        5.06131979127371,
        5.061341249000256,
        5.061362706726801,
        5.06138368761498,
        5.061405145341526,
        5.061426603068072,
        5.061448060794618,
        5.061469041682796,
        5.0614904994093415,
        5.061511957135887,
        5.061533414862433,
        5.061554395750611,
        5.061575853477157,
        5.061597311203703,
        5.0616187689302485,
        5.061639749818427,
        5.061661207544973,
        5.061682665271519,
        5.061704122998065,
        5.061725103886243,
        5.061746561612789,
        5.061768019339334,
        5.06178947706588,
        5.061810457954058,
        5.061831915680604,
        5.06185337340715,
        5.061874354295328,
        5.0618958120218736,
        5.06191726974842,
        5.061938727474966,
        5.061959708363144,
        5.06198116608969,
        5.062002623816236,
        5.062023604704414,
        5.062045062430959,
        5.062066520157505,
        5.062087501045683,
        5.062108958772229,
        5.062130416498775,
        5.062151397386954,
        5.0621728551134995,
        5.062194312840045,
        5.062215293728223,
        5.062236751454769,
        5.062258209181315,
        5.062279190069493,
        5.062300647796039,
        5.062321628684217,
        5.062343086410763,
        5.062364544137309,
        5.062385525025487,
        5.062406982752033,
        5.062428440478579,
        5.062449421366757,
        5.062470879093302,
        5.06249185998148,
        5.062513317708026,
        5.062534775434572,
        5.062555756322751,
        5.062577214049297,
        5.0625981949374745,
        5.06261965266402,
        5.062640633552198,
        5.062662091278744,
        5.06268354900529,
        5.062704529893469,
        5.062725987620015,
        5.0627469685081925,
        5.062768426234738,
        5.062789407122916,
        5.062810864849462,
        5.062832322576008,
        5.062853303464186,
        5.062874761190732,
        5.0628957420789105,
        5.062917199805456,
        5.062938180693634,
        5.06295963842018,
        5.062980619308358,
        5.063002077034904,
        5.063023057923083,
        5.063044515649628,
        5.063065496537806,
        5.063086954264352,
        5.06310793515253,
        5.063129392879076,
        5.063150373767254,
        5.0631718314938,
        5.0631928123819785,
        5.063214270108524,
        5.063235250996702,
        5.063256708723248,
        5.063277689611426,
        5.063299147337972,
        5.06332012822615,
        5.063341585952696,
        5.063362566840874,
        5.063383547729052,
        5.063405005455598,
        5.063425986343776,
        5.063447444070322,
        5.063468424958501,
        5.0634898826850465,
        5.063510863573224,
        5.06353232129977,
        5.063553302187948,
        5.063574283076126,
        5.063595740802672,
        5.063616721690851,
        5.063638179417397,
        5.0636591603055745,
        5.063680141193752,
        5.063701598920298,
        5.063722579808476,
        5.063744037535022,
        5.063765018423201,
        5.063785999311379,
        5.063807457037925,
        5.0638284379261025,
        5.063849895652648,
        5.063870876540827,
        5.063891857429005,
        5.063913315155551,
        5.063934296043729,
        5.063955276931907,
        5.0639767346584525,
        5.063997715546631,
        5.064018696434809,
        5.064040154161355,
        5.064061135049533,
        5.064082115937711,
        5.064103573664257,
        5.064124554552436,
        5.0641455354406135,
        5.064166993167159,
        5.064187974055337,
        5.064208954943516,
        5.064230412670062,
        5.06425139355824,
        5.064272374446418,
        5.064293832172964,
        5.0643148130611415,
        5.06433579394932,
        5.064357251675866,
        5.064378232564044,
        5.064399213452222,
        5.0644201943404,
        5.064441652066946,
        5.0644626329551246,
        5.0644836138433025,
        5.06450459473148,
        5.064526052458026,
        5.064547033346204,
        5.064568014234383,
        5.064589471960929,
        5.064610452849107,
        5.064631433737285,
        5.0646524146254635,
        5.064673395513641,
        5.064694853240187,
        5.064715834128365,
        5.064736815016543,
        5.064757795904722,
        5.064779253631268,
        5.064800234519446,
        5.0648212154076235,
        5.0648421962958015,
        5.06486317718398,
        5.064884634910526,
        5.064905615798704,
        5.064926596686882,
        5.06494757757506,
        5.064968558463239,
        5.0649900161897845,
        5.065010997077962,
        5.06503197796614,
        5.065052958854319,
        5.065073939742497,
        5.065095397469043,
        5.065116378357221,
        5.065137359245399,
        5.065158340133578,
        5.0651793210217555,
        5.065200301909933,
        5.065221282798111,
        5.065242740524657,
        5.065263721412836,
        5.065284702301014,
        5.065305683189192,
        5.06532666407737,
        5.065347644965549,
        5.0653686258537265,
        5.065390083580272,
        5.06541106446845,
        5.065432045356628,
        5.065453026244807,
        5.065474007132985,
        5.065494988021163,
        5.065515968909342,
        5.06553694979752,
        5.0655579306856975,
        5.065578911573875,
        5.065599892462054,
        5.0656213501886,
        5.065642331076778,
        5.065663311964956,
        5.065684292853134,
        5.065705273741313,
        5.0657262546294906,
        5.0657472355176685,
        5.065768216405846,
        5.065789197294025,
        5.065810178182203,
        5.065831159070381,
        5.065852139958559,
        5.065873120846738,
        5.065894101734916,
        5.065915082623094,
        5.065936063511272,
        5.06595704439945,
        5.065978025287628,
        5.065999006175806,
        5.066019987063985,
        5.066040967952163,
        5.066061948840341,
        5.066082929728519,
        5.066103910616698,
        5.0661248915048755,
        5.0661458723930535,
        5.066166853281231,
        5.06618783416941,
        5.066208815057588,
        5.066229795945766,
        5.066250776833944,
        5.066271757722123,
        5.066292738610301,
        5.066313719498479,
        5.066334700386657,
        5.066355681274835,
        5.066376662163013,
        5.066397643051191,
        5.066418623939369,
        5.066439604827548,
        5.066460585715726,
        5.066481566603904,
        5.066502547492083,
        5.0665235283802605,
        5.0665445092684385,
        5.066565490156616,
        5.066585994206427,
        5.066606975094605,
        5.066627955982783,
        5.066648936870962,
        5.06666991775914,
        5.066690898647318,
        5.066711879535496,
        5.0667328604236745,
        5.0667538413118525,
        5.06677482220003,
        5.066795326249841,
        5.066816307138019,
        5.066837288026197,
        5.066858268914375,
        5.066879249802554,
        5.066900230690732,
        5.06692121157891,
        5.066941715628721,
        5.066962696516899,
        5.0669836774050765,
        5.067004658293255,
        5.067025639181433,
        5.067046620069611,
        5.067067600957789,
        5.0670881050076,
        5.067109085895778,
        5.067130066783956,
        5.067151047672135,
        5.067172028560313,
        5.0671930094484905,
        5.067213513498301,
        5.067234494386479,
        5.067255475274657,
        5.067276456162835,
        5.067297437051014,
        5.067317941100824,
        5.067338921989002,
        5.067359902877181,
        5.067380883765359,
        5.067401387815169,
        5.0674223687033475,
        5.067443349591525,
        5.067464330479703,
        5.067485311367882,
        5.067505815417692,
        5.06752679630587,
        5.067547777194049,
        5.067568758082227,
        5.067589262132037,
        5.067610243020216,
        5.067631223908394,
        5.0676522047965715,
        5.067672708846382,
        5.06769368973456,
        5.067714670622738,
        5.067735174672549,
        5.067756155560727,
        5.067777136448905,
        5.067798117337083,
        5.067818621386894,
        5.067839602275072,
        5.06786058316325,
        5.067881087213061,
        5.0679020681012386,
        5.0679230489894165,
        5.067944029877595,
        5.067964533927405,
        5.067985514815583,
        5.068006495703762,
        5.068026999753572,
        5.068047980641751,
        5.068068961529929,
        5.068089465579739,
        5.068110446467918,
        5.068131427356096,
        5.068151931405906,
        5.068172912294084,
        5.068193893182262,
        5.068214397232072,
        5.068235378120251,
        5.068255882170061,
        5.068276863058239,
        5.068297843946418,
        5.068318347996228,
        5.068339328884406,
        5.068360309772585,
        5.068380813822395,
        5.068401794710573,
        5.0684222987603835,
        5.0684432796485615,
        5.068464260536739,
        5.06848476458655,
        5.068505745474728,
        5.068526249524539,
        5.068547230412717,
        5.068568211300895,
        5.068588715350706,
        5.068609696238884,
        5.068630200288695,
        5.068651181176873,
        5.068671685226683,
        5.0686926661148615,
        5.068713647003039,
        5.068734151052849,
        5.068755131941028,
        5.068775635990838,
        5.068796616879016,
        5.068817120928827,
        5.068838101817005,
        5.068858605866816,
        5.068879586754994,
        5.068900090804804,
        5.068921071692983,
        5.068941575742793,
        5.068962556630971,
        5.068983537519149,
        5.0690040415689595,
        5.069025022457137,
        5.069045526506948,
        5.069066507395126,
        5.069087011444937,
        5.069107992333115,
        5.069128496382925,
        5.069149477271104,
        5.069169981320914,
        5.069190485370725,
        5.069211466258903,
        5.069231970308713,
        5.069252951196892,
        5.069273455246702,
        5.06929443613488,
        5.06931494018469,
        5.069335921072868,
        5.069356425122679,
        5.069377406010857,
        5.069397910060668,
        5.069418890948846,
        5.069439394998656,
        5.069459899048467,
        5.069480879936645,
        5.069501383986456,
        5.069522364874634,
        5.069542868924444,
        5.069563372974255,
        5.069584353862433,
        5.0696048579122435,
        5.069625838800421,
        5.069646342850231,
        5.06966732373841,
        5.06968782778822,
        5.069708331838031,
        5.069729312726209,
        5.069749816776019,
        5.06977032082583,
        5.069791301714008,
        5.069811805763819,
        5.069832786651997,
        5.069853290701807,
        5.069873794751618,
        5.069894775639796,
        5.0699152796896065,
        5.069935783739417,
        5.069956764627595,
        5.069977268677405,
        5.069997772727216,
        5.070018753615394,
        5.070039257665204,
        5.070059761715015,
        5.070080742603193,
        5.070101246653004,
        5.070121750702814,
        5.070142731590992,
        5.070163235640803,
        5.070183739690613,
        5.070204720578792,
        5.070225224628602,
        5.070245728678413,
        5.0702667095665905,
        5.070287213616401,
        5.0703077176662115,
        5.0703282217160215,
        5.0703492026042,
        5.07036970665401,
        5.070390210703821,
        5.070411191591999,
        5.070431695641809,
        5.07045219969162,
        5.07047270374143,
        5.070493684629609,
        5.070514188679419,
        5.07053469272923,
        5.07055519677904,
        5.070576177667218,
        5.070596681717029,
        5.070617185766839,
        5.07063768981665,
        5.070658670704828,
        5.0706791747546385,
        5.0706996788044485,
        5.070720182854259,
        5.070740686904069,
        5.070761667792248,
        5.070782171842058,
        5.070802675891869,
        5.070823179941679,
        5.07084368399149,
        5.070864664879668,
        5.070885168929478,
        5.070905672979289,
        5.070926177029099,
        5.07094668107891,
        5.070967661967088,
        5.070988166016899,
        5.071008670066709,
        5.07102917411652,
        5.07104967816633,
        5.071070182216141,
        5.0710911631043185,
        5.0711116671541285,
        5.071132171203939,
        5.0711526752537495,
        5.07117317930356,
        5.07119368335337,
        5.071214187403181,
        5.071235168291359,
        5.07125567234117,
        5.07127617639098,
        5.071296680440791,
        5.071317184490601,
        5.071337688540412,
        5.071358192590222,
        5.071378696640033,
        5.071399677528211,
        5.071420181578021,
        5.071440685627832,
        5.071461189677642,
        5.071481693727453,
        5.071502197777263,
        5.071522701827074,
        5.071543205876884,
        5.071563709926695,
        5.0715842139765055,
        5.0716047180263155,
        5.071625222076126,
        5.071646202964304,
        5.071666707014114,
        5.071687211063925,
        5.071707715113735,
        5.071728219163546,
        5.071748723213356,
        5.071769227263167,
        5.071789731312977,
        5.071810235362788,
        5.071830739412598,
        5.071851243462409,
        5.071871747512219,
        5.07189225156203,
        5.07191275561184,
        5.071933259661651,
        5.071953763711461,
        5.071974267761272,
        5.071994771811082,
        5.072015275860893,
        5.072035779910703,
        5.072056283960514,
        5.072076788010324,
        5.072097292060135,
        5.072117796109945,
        5.0721383001597555,
        5.0721588042095656,
        5.0721793082593765,
        5.0721998123091865,
        5.072220316358997,
        5.072240820408807,
        5.072261324458618,
        5.072281828508428,
        5.072302332558239,
        5.072322836608049,
        5.07234334065786,
        5.07236384470767,
        5.072383871919113,
        5.072404375968924,
        5.072424880018734,
        5.072445384068545,
        5.072465888118355,
        5.072486392168166,
        5.072506896217976,
        5.072527400267787,
        5.072547904317597,
        5.072568408367408,
        5.072588912417218,
        5.072609416467029,
        5.072629443678472,
        5.072649947728282,
        5.072670451778093,
        5.072690955827903,
        5.072711459877714,
        5.072731963927524,
        5.072752467977335,
        5.072772972027145,
        5.0727934760769555,
        5.072813503288398,
        5.0728340073382086,
        5.072854511388019,
        5.0728750154378295,
        5.0728955194876395,
        5.07291602353745,
        5.072936050748893,
        5.072956554798703,
        5.072977058848514,
        5.072997562898324,
        5.073018066948135,
        5.073038570997945,
        5.073058598209388,
        5.073079102259198,
        5.073099606309009,
        5.073120110358819,
        5.07314061440863,
        5.07316111845844,
        5.073181145669883,
        5.073201649719694,
        5.073222153769504,
        5.073242657819315,
        5.073263161869125,
        5.073283189080568,
        5.073303693130378,
        5.073324197180189,
        5.073344701229999,
        5.073364728441442,
        5.073385232491253,
        5.073405736541063,
        5.073426240590874,
        5.073446267802316,
        5.073466771852127,
        5.073487275901937,
        5.073507779951748,
        5.073527807163191,
        5.073548311213001,
        5.073568815262812,
        5.073589319312622,
        5.073609346524065,
        5.073629850573875,
        5.073650354623686,
        5.073670858673496,
        5.073690885884939,
        5.07371138993475,
        5.07373189398456,
        5.073751921196003,
        5.073772425245813,
        5.073792929295624,
        5.073813433345434,
        5.073833460556877,
        5.073853964606688,
        5.073874468656498,
        5.073894495867941,
        5.0739149999177515,
        5.0739355039675615,
        5.0739555311790046,
        5.073976035228815,
        5.0739965392786255,
        5.0740165664900685,
        5.0740370705398785,
        5.074057574589689,
        5.0740776018011315,
        5.0740981058509425,
        5.0741186099007525,
        5.0741386371121955,
        5.074159141162006,
        5.0741791683734485,
        5.074199672423259,
        5.074220176473069,
        5.0742402036845125,
        5.074260707734323,
        5.074281211784133,
        5.074301238995576,
        5.074321743045386,
        5.074341770256829,
        5.07436227430664,
        5.07438277835645,
        5.074402805567893,
        5.074423309617703,
        5.074443336829146,
        5.074463840878957,
        5.074484344928767,
        5.07450437214021,
        5.07452487619002,
        5.074544903401463,
        5.074565407451274,
        5.074585434662716,
        5.074605938712527,
        5.07462596592397,
        5.07464646997378,
        5.074666974023591,
        5.074687001235033,
        5.074707505284844,
        5.074727532496287,
        5.074748036546097,
        5.07476806375754,
        5.07478856780735,
        5.074808595018793,
        5.074829099068604,
        5.074849126280046,
        5.074869630329857,
        5.0748896575413,
        5.07491016159111,
        5.074930188802553,
        5.074950692852363,
        5.074970720063806,
        5.074991224113617,
        5.075011251325059,
        5.07503175537487,
        5.075051782586313,
        5.075072286636123,
        5.075092313847566,
        5.075112817897376,
        5.075132845108819,
        5.07515334915863,
        5.075173376370072,
        5.075193880419883,
        5.075213907631326,
        5.075234411681136,
        5.075254438892579,
        5.075274466104022,
        5.075294970153832,
        5.075314997365275,
        5.075335501415085,
        5.075355528626528,
        5.075376032676339,
        5.075396059887781,
        5.075416087099224,
        5.075436591149035,
        5.0754566183604775,
        5.075477122410288,
        5.075497149621731,
        5.075517653671541,
        5.075537680882984,
        5.075557708094427,
        5.075578212144237,
        5.07559823935568,
        5.0756187434054905,
        5.0756387706169335,
        5.0756587978283765,
        5.0756793018781865,
        5.0756993290896295,
        5.0757193563010725,
        5.0757398603508825,
        5.0757598875623255,
        5.0757799147737686,
        5.075800418823579,
        5.075820446035022,
        5.0758409500848325,
        5.075860977296275,
        5.075881004507718,
        5.0759015085575285,
        5.075921535768971,
        5.075941562980414,
        5.075962067030225,
        5.075982094241667,
        5.07600212145311,
        5.076022625502921,
        5.076042652714363,
        5.076062679925806,
        5.076082707137249,
        5.076103211187059,
        5.076123238398502,
        5.076143265609945,
        5.076163769659755,
        5.076183796871198,
        5.076203824082641,
        5.076224328132451,
        5.076244355343894,
        5.076264382555337,
        5.07628440976678,
        5.07630491381659,
        5.076324941028033,
        5.076344968239476,
        5.076364995450918,
        5.076385499500729,
        5.076405526712172,
        5.076425553923614,
        5.076445581135057,
        5.076466085184868,
        5.07648611239631,
        5.076506139607753,
        5.076526166819196,
        5.076546670869006,
        5.076566698080449,
        5.076586725291892,
        5.076606752503335,
        5.076626779714777,
        5.076647283764588,
        5.076667310976031,
        5.076687338187473,
        5.076707365398916,
        5.076727392610359,
        5.076747896660169,
        5.076767923871612,
        5.076787951083055,
        5.076807978294498,
        5.0768280055059405,
        5.076848509555751,
        5.076868536767194,
        5.0768885639786365,
        5.0769085911900795,
        5.0769286184015225,
        5.0769486456129655,
        5.076969149662776,
        5.076989176874219,
        5.077009204085662,
        5.077029231297104,
        5.077049258508547,
        5.07706928571999,
        5.077089312931433,
        5.077109816981243,
        5.077129844192686,
        5.077149871404129,
        5.077169898615571,
        5.077189925827014,
        5.077209953038457,
        5.0772299802499,
        5.077250007461342,
        5.077270511511153,
        5.077290538722596,
        5.077310565934038,
        5.077330593145481,
        5.077350620356924,
        5.077370647568367,
        5.077390674779809,
        5.077410701991252,
        5.077430729202695,
        5.077450756414138,
        5.07747078362558,
        5.077490810837023,
        5.077510838048466,
        5.077531342098276,
        5.077551369309719,
        5.077571396521162,
        5.077591423732605,
        5.0776114509440475,
        5.0776314781554905,
        5.0776515053669335,
        5.077671532578377,
        5.077691559789819,
        5.077711587001262,
        5.077731614212705,
        5.077751641424148,
        5.07777166863559,
        5.077791695847033,
        5.077811723058476,
        5.077831750269919,
        5.077851777481361,
        5.077871804692804,
        5.077891831904247,
        5.07791185911569,
        5.077931886327132,
        5.077951913538575,
        5.077971940750018,
        5.077991967961461,
        5.078011995172903,
        5.078032022384346,
        5.078052049595789,
        5.078072076807232,
        5.078092104018674,
        5.078112131230117,
        5.07813215844156,
        5.078152185653003,
        5.0781722128644455,
        5.0781922400758885,
        5.0782122672873315,
        5.078231817660407,
        5.07825184487185,
        5.078271872083292,
        5.078291899294735,
        5.078311926506178,
        5.078331953717621,
        5.078351980929063,
        5.078372008140506,
        5.078392035351949,
        5.078412062563392,
        5.078432089774834,
        5.078452116986277,
        5.078471667359352,
        5.078491694570795,
        5.078511721782238,
        5.07853174899368,
        5.078551776205123,
        5.078571803416566,
        5.078591830628009,
        5.0786118578394515,
        5.0786318850508945,
        5.07865143542397,
        5.078671462635413,
        5.078691489846856,
        5.078711517058298,
        5.078731544269741,
        5.078751571481184,
        5.078771598692627,
        5.078791149065702,
        5.078811176277144,
        5.078831203488587,
        5.07885123070003,
        5.078871257911473,
        5.078891285122915,
        5.07891083549599,
        5.078930862707433,
        5.078950889918876,
        5.078970917130319,
        5.078990944341761,
        5.0790104947148365,
        5.0790305219262795,
        5.0790505491377225,
        5.0790705763491655,
        5.079090603560608,
        5.079110153933683,
        5.079130181145126,
        5.079150208356569,
        5.079170235568012,
        5.079190262779454,
        5.079209813152529,
        5.079229840363972,
        5.079249867575415,
        5.079269894786858,
        5.079289445159933,
        5.079309472371375,
        5.079329499582818,
        5.079349526794261,
        5.079369077167336,
        5.079389104378779,
        5.0794091315902214,
        5.0794291588016645,
        5.07944870917474,
        5.079468736386183,
        5.079488763597626,
        5.079508313970701,
        5.079528341182143,
        5.079548368393586,
        5.079568395605029,
        5.079587945978104,
        5.079607973189547,
        5.079628000400989,
        5.079647550774064,
        5.079667577985507,
        5.07968760519695,
        5.079707155570025,
        5.079727182781468,
        5.07974720999291,
        5.0797667603659855,
        5.0797867875774285,
        5.0798068147888715,
        5.079826365161947,
        5.07984639237339,
        5.079866419584832,
        5.079885969957907,
        5.07990599716935,
        5.079926024380793,
        5.079945574753868,
        5.079965601965311,
        5.079985629176753,
        5.080005179549828,
        5.080025206761271,
        5.080045233972714,
        5.080064784345789,
        5.080084811557232,
        5.080104361930307,
        5.08012438914175,
        5.080144416353193,
        5.080163966726268,
        5.080183993937711,
        5.080203544310786,
        5.080223571522228,
        5.080243598733671,
        5.080263149106746,
        5.0804219362831855,
        5.080441486656261,
        5.080461513867704,
        5.08348848382577,
        5.087547332011508,
        5.087662726896488,
        5.087700873965902,
        5.087720424338977,
        5.0877394978736845,
        5.087778121781468,
        5.087797195316175,
        5.087912113362787,
        5.087931663735862,
        5.087950737270569,
        5.087969810805277,
        5.0879888843399845,
        5.08800843471306,
        5.088027508247767,
        5.088046581782474,
        5.088065655317182,
        5.088085205690257,
        5.088104279224964,
        5.088123352759672,
        5.088142426294379,
        5.088161976667454,
        5.088181050202161,
        5.088200123736869,
        5.0882191972715765,
        5.088238270806284,
        5.088257821179359,
        5.088276894714066,
        5.088295968248774,
        5.088315041783481,
        5.0883341153181885,
        5.088353188852896,
        5.088372739225971,
        5.091801207089629,
        5.09599738472526,
        5.096019796128541,
        5.0960426843701905,
        5.096065572611839,
        5.096088460853488,
        5.096110872256769,
        5.096133760498418,
        5.096156648740067,
        5.096179536981715,
        5.096201948384997,
        5.096224836626646,
        5.096247724868295,
        5.096270136271576,
        5.0962930245132245,
        5.096315912754874,
        5.096338800996523,
        5.096361212399803,
        5.096384100641453,
        5.096406988883102,
        5.096429400286383,
        5.096452288528032,
        5.0964751767696805,
        5.096497588172962,
        5.096520476414611,
        5.0965433646562595,
        5.096565776059541,
        5.09658866430119,
        5.096611552542838,
        5.09663396394612,
        5.096656852187769,
        5.096679740429417,
        5.096702151832699,
        5.096725040074348,
        5.096747928315997,
        5.096770339719278,
        5.0967932279609265,
        5.096815639364208,
        5.096838527605857,
        5.096861415847505,
        5.096883827250787,
        5.096906715492436,
        5.096929126895717,
        5.096952015137366,
        5.096974903379015,
        5.096997314782296,
        5.097020203023945,
        5.0970426144272265,
        5.097065502668875,
        5.097088390910524,
        5.097110802313805,
        5.097133690555454,
        5.097156101958736,
        5.097178990200384,
        5.097201401603665,
        5.097224289845315,
        5.097247178086963,
        5.097269589490245,
        5.0972924777318935,
        5.097314889135174,
        5.097337777376824,
        5.0973601887801046,
        5.097383077021753,
        5.097405488425035,
        5.0974283766666835,
        5.097450788069965,
        5.097473676311614,
        5.097496087714895,
        5.097518975956544,
        5.097541387359825,
        5.097564275601474,
        5.097587163843123,
        5.097609575246405,
        5.097631986649685,
        5.097654874891334,
        5.097677286294616,
        5.097700174536264,
        5.097722585939546,
        5.0977454741811945,
        5.097767885584475,
        5.097790773826125,
        5.0978131852294055,
        5.097836073471055,
        5.097858484874336,
        5.097881373115984,
        5.097903784519266,
        5.097926672760915,
        5.097949084164196,
        5.097971495567477,
        5.097994383809127,
        5.098016795212407,
        5.098039683454056,
        5.098084983098986,
        5.0985224823013375,
        5.099955620015416,
        5.099978031418697,
        5.100000442821979,
        5.100023331063627,
        5.100045742466909,
        5.10006815387019,
        5.100112976676752,
        5.100135388080034,
        5.1001577994833145,
        5.100180210886596,
        5.100202622289877,
        5.1002250336931585,
        5.100247921934807,
        5.100270333338089,
        5.1002927447413695,
        5.100315156144651,
        5.100337567547932,
        5.1003599789512135,
        5.100382390354494,
        5.100404801757776,
        5.100427213161057,
        5.100449624564338,
        5.100472035967619,
        5.100494447370901,
        5.100516858774181,
        5.100539270177463,
        5.100561681580744,
        5.100584092984025,
        5.100606504387307,
        5.100628915790588,
        5.100651327193869,
        5.10067373859715,
        5.100696150000432,
        5.1007185614037125,
        5.100740972806994,
        5.100763384210275,
        5.1007857956135565,
        5.100808207016837,
        5.100830618420119,
        5.1008530298234,
        5.100875441226681,
        5.100897852629962,
        5.100920264033244,
        5.100942675436524,
        5.100965086839806,
        5.100987498243088,
        5.101009909646368,
        5.10103232104965,
        5.101054732452931,
        5.101077143856212,
        5.101099555259493,
        5.101121966662775,
        5.1011443780660555,
        5.101166789469337,
        5.101189200872618,
        5.101211135437532,
        5.101233546840813,
        5.101255958244094,
        5.101278369647376,
        5.101300781050656,
        5.101323192453938,
        5.101345603857219,
        5.1013680152605,
        5.101390426663781,
        5.101412838067063,
        5.101435249470343,
        5.101457184035257,
        5.101479595438539,
        5.1015020068418195,
        5.101524418245101,
        5.101546829648382,
        5.1015692410516635,
        5.101591652454944,
        5.101614063858226,
        5.10163599842314,
        5.10165840982642,
        5.101680821229702,
        5.101703232632983,
        5.101725644036264,
        5.101748055439545,
        5.101769990004459,
        5.1017924014077405,
        5.101814812811021,
        5.101837224214303,
        5.101859635617584,
        5.101882047020865,
        5.101903981585778,
        5.10192639298906,
        5.10194880439234,
        5.101971215795622,
        5.101993627198904,
        5.1020155617638165,
        5.102037973167098,
        5.102060384570379,
        5.1020827959736605,
        5.102105207376941,
        5.102127141941855,
        5.102149553345137,
        5.102171964748417,
        5.102194376151699,
        5.102216310716613,
        5.1022387221198935,
        5.102261133523175,
        5.102283544926456,
        5.10230547949137,
        5.10232789089465,
        5.102350302297932,
        5.102372713701214,
        5.102394648266126,
        5.102417059669408,
        5.102439471072689,
        5.1024614056376025,
        5.102483817040884,
        5.102506228444165,
        5.1025286398474465,
        5.102550574412359,
        5.102572985815641,
        5.102595397218923,
        5.1026173317838355,
        5.102639743187117,
        5.102662154590398,
        5.1026845659936795,
        5.102706500558593,
        5.102728911961874,
        5.102751323365156,
        5.102773257930068,
        5.10279566933335,
        5.102818080736632,
        5.1028400153015445,
        5.102862426704826,
        5.102884838108107,
        5.102906772673021,
        5.102929184076302,
        5.102951118641215,
        5.102973530044497,
        5.102995941447778,
        5.103017876012691,
        5.103040287415973,
        5.103062698819254,
        5.103084633384167,
        5.103107044787449,
        5.10312945619073,
        5.103151390755643,
        5.103173802158924,
        5.103195736723838,
        5.1032181481271195,
        5.1032405595304,
        5.103262494095314,
        5.103284905498596,
        5.103306840063508,
        5.10332925146679,
        5.103351186031704,
        5.1033735974349845,
        5.103396008838266,
        5.10341794340318,
        5.103440354806461,
        5.103462289371374,
        5.103484700774655,
        5.103506635339569,
        5.1035290467428505,
        5.103551458146131,
        5.103573392711045,
        5.103595804114326,
        5.103617738679239,
        5.103640150082521,
        5.103662084647435,
        5.1036844960507155,
        5.103706430615629,
        5.10372884201891,
        5.103750776583824,
        5.103773187987105,
        5.103795122552018,
        5.1038175339553,
        5.1038394685202135,
        5.103861879923494,
        5.103883814488408,
        5.10390622589169,
        5.1039281604566025,
        5.103950571859884,
        5.103972506424798,
        5.103994917828079,
        5.104016852392992,
        5.104039263796273,
        5.104061198361187,
        5.104083609764468,
        5.104105544329382,
        5.104127478894295,
        5.104149890297577,
        5.10417182486249,
        5.104194236265771,
        5.104216170830685,
        5.1042385822339655,
        5.104260516798879,
        5.104282928202161,
        5.104304862767075,
        5.1043267973319875,
        5.104349208735269,
        5.104371143300183,
        5.104393554703464,
        5.104415489268377,
        5.104437423833291,
        5.104459835236572,
        5.1044817698014855,
        5.104504181204767,
        5.10452611576968,
        5.104548050334594,
        5.104570461737875,
        5.104592396302788,
        5.10461480770607,
        5.1046367422709835,
        5.104658676835896,
        5.104681088239178,
        5.104703022804092,
        5.1047249573690054,
        5.104747368772286,
        5.1047693033372,
        5.104791237902114,
        5.104813649305394,
        5.104835583870308,
        5.104857518435222,
        5.104879929838503,
        5.104901864403416,
        5.10492379896833,
        5.104946210371611,
        5.1049681449365245,
        5.104990079501438,
        5.105012490904719,
        5.105034425469633,
        5.105056360034546,
        5.105078771437827,
        5.105100706002741,
        5.105122640567655,
        5.105145051970935,
        5.105166986535849,
        5.105188921100763,
        5.105210855665677,
        5.105233267068957,
        5.105255201633871,
        5.105277136198785,
        5.1052990707636985,
        5.105321482166979,
        5.105343416731893,
        5.105365351296807,
        5.10538728586172,
        5.105409697265001,
        5.105431631829915,
        5.105453566394829,
        5.1054755009597415,
        5.105497912363023,
        5.105519846927937,
        5.10554178149285,
        5.105563716057763,
        5.105586127461045,
        5.105608062025959,
        5.105629996590872,
        5.105651931155785,
        5.105673865720699,
        5.10569627712398,
        5.1057182116888935,
        5.105740146253807,
        5.105762080818721,
        5.105784015383634,
        5.105806426786915,
        5.105828361351829,
        5.105850295916743,
        5.105872230481656,
        5.1058941650465695,
        5.105916099611483,
        5.105938511014764,
        5.105960445579678,
        5.105982380144591,
        5.106004314709505,
        5.106026249274418,
        5.106048183839332,
        5.106070118404245,
        5.106092529807527,
        5.10611446437244,
        5.106136398937354,
        5.106158333502267,
        5.106180268067181,
        5.106202202632094,
        5.106224137197008,
        5.106246071761921,
        5.106268483165202,
        5.106290417730116,
        5.1063123522950296,
        5.106334286859943,
        5.106356221424857,
        5.10637815598977,
        5.106400090554684,
        5.106422025119597,
        5.106443959684511,
        5.106465894249424,
        5.106487828814338,
        5.106509763379251,
        5.106532174782533,
        5.106554109347446,
        5.1065760439123595,
        5.106597978477273,
        5.106619913042187,
        5.1066418476071,
        5.1066637821720136,
        5.106685716736927,
        5.106707651301841,
        5.106729585866754,
        5.106751520431668,
        5.106773454996581,
        5.106795389561495,
        5.106817324126409,
        5.106839258691322,
        5.106861193256235,
        5.106883127821149,
        5.106905062386063,
        5.106926996950976,
        5.106948931515889,
        5.106970866080803,
        5.106992800645717,
        5.1070147352106305,
        5.107036669775543,
        5.107058604340457,
        5.107080538905371,
        5.107102473470285,
        5.107124408035197,
        5.107146342600111,
        5.107168277165025,
        5.107190211729939,
        5.107212146294851,
        5.107234080859765,
        5.107256015424679,
        5.107277949989593,
        5.107299884554506,
        5.107321342281052,
        5.107343276845965,
        5.107365211410879,
        5.1073871459757925,
        5.107409080540706,
        5.107431015105619,
        5.107452949670533,
        5.1074748842354465,
        5.10749681880036,
        5.107518753365274,
        5.107540687930187,
        5.1075626224951005,
        5.107584080221646,
        5.10760601478656,
        5.107627949351474,
        5.107649883916387,
        5.1076718184813,
        5.107693753046214,
        5.107715687611128,
        5.107737622176041,
        5.107759079902587,
        5.1077810144675,
        5.107802949032414,
        5.107824883597328,
        5.107846818162241,
        5.107868752727154,
        5.107890687292068,
        5.107912145018614,
        5.1079340795835275,
        5.107956014148441,
        5.107977948713354,
        5.108370863528327,
        5.108392798093241,
        5.108414732658154,
        5.1084361903847,
        5.108458124949614,
        5.108480059514527,
        5.1085019940794405,
        5.108523451805986,
        5.1085453863709,
        5.108567320935814,
        5.1085892555007275,
        5.108610713227273,
        5.108632647792186,
        5.1086545823571,
        5.108676516922014,
        5.1086979746485595,
        5.108719909213473,
        5.108741843778386,
        5.108763301504933,
        5.108785236069846,
        5.108807170634759,
        5.108828628361305,
        5.108850562926219,
        5.108872497491133,
        5.108893955217678,
        5.108915889782591,
        5.108937824347505,
        5.108959282074051,
        5.1089812166389645,
        5.109003151203878,
        5.109024608930424,
        5.109046543495338,
        5.109068478060251,
        5.1090899357867965,
        5.10911187035171,
        5.109133804916624,
        5.10915526264317,
        5.1091771972080835,
        5.109199131772996,
        5.109220589499542,
        5.109242524064456,
        5.109263981791002,
        5.1092859163559154,
        5.109307850920829,
        5.109329308647375,
        5.109351243212289,
        5.1093727009388346,
        5.109394635503747,
        5.109416570068661,
        5.109438027795207,
        5.109459962360121,
        5.1094814200866665,
        5.10950335465158,
        5.109525289216493,
        5.10954674694304,
        5.109568681507953,
        5.1095901392344985,
        5.109612073799412,
        5.109633531525958,
        5.109655466090872,
        5.1096774006557855,
        5.109698858382331,
        5.109872427548169,
        5.109894362113082,
        5.109915819839628,
        5.109937754404541,
        5.109959212131087,
        5.109981146696001,
        5.110002604422546,
        5.11002453898746,
        5.110045996714006,
        5.11006793127892,
        5.1100893890054655,
        5.110111323570379,
        5.110132781296925,
        5.110154715861838,
        5.110176173588384,
        5.1101981081532974,
        5.110219565879843,
        5.110241500444757,
        5.110262958171303,
        5.110284415897849,
        5.110306350462762,
        5.110327808189308,
        5.110349742754221,
        5.110371200480768,
        5.110393135045681,
        5.110414592772226,
        5.11043652733714,
        5.110457985063686,
        5.110479442790232,
        5.1105013773551455,
        5.110522835081691,
        5.110544769646605,
        5.110566227373151,
        5.110587685099697,
        5.11060961966461,
        5.110631077391155,
        5.110653011956069,
        5.110674469682615,
        5.110695927409161,
        5.1107178619740745,
        5.11073931970062,
        5.110760777427166,
        5.11078271199208,
        5.110804169718626,
        5.1108261042835395,
        5.110847562010085,
        5.110869019736631,
        5.110890954301544,
        5.11091241202809,
        5.1109338697546365,
        5.110955804319549,
        5.110977262046095,
        5.110998719772641,
        5.111020654337555,
        5.1110421120641005,
        5.111063569790646,
        5.11108550435556,
        5.111106962082106,
        5.111128419808652,
        5.1111503543735655,
        5.111171812100111,
        5.111193269826657,
        5.111214727553203,
        5.111236662118117,
        5.1112581198446625,
        5.111279577571208,
        5.111301512136121,
        5.111322969862667,
        5.111344427589213,
        5.111365885315759,
        5.111430735333764,
        5.111452669898678,
        5.111495585351769,
        5.112314316829085,
        5.112335774555631,
        5.112357232282177,
        5.112378690008723,
        5.1124001477352685,
        5.112421605461814,
        5.112443540026728,
        5.112464997753274,
        5.11248645547982,
        5.1125079132063656,
        5.112529370932911,
        5.112550828659457,
        5.112572286386003,
        5.112593744112549,
        5.112615201839095,
        5.1126366595656405,
        5.112658117292186,
        5.112679575018732,
        5.112701032745278,
        5.112722490471824,
        5.1127444250367375,
        5.112765882763283,
        5.112787340489829,
        5.112808798216375,
        5.112830255942921,
        5.112851713669467,
        5.1128731713960125,
        5.112894629122558,
        5.112916086849104,
        5.11293754457565,
        5.112959002302196,
        5.112980460028742,
        5.1130019177552875,
        5.113023375481833,
        5.113044833208379,
        5.113066290934925,
        5.113087748661471,
        5.113109206388017,
        5.113130664114562,
        5.113152121841108,
        5.113173579567654,
        5.1131950372942,
        5.113216495020746,
        5.1132379527472915,
        5.113259410473837,
        5.113280391362015,
        5.113301849088561,
        5.113323306815107,
        5.113344764541654,
        5.1133662222681995,
        5.113387679994745,
        5.113409137721291,
        5.113430595447837,
        5.113452053174383,
        5.113473510900929,
        5.113494968627474,
        5.11351642635402,
        5.113537884080566,
        5.113559341807112,
        5.11358032269529,
        5.113601780421836,
        5.1136232381483815,
        5.113644695874927,
        5.113666153601473,
        5.113687611328019,
        5.113709069054565,
        5.113730526781111,
        5.1137519845076564,
        5.113772965395834,
        5.11379442312238,
        5.113815880848926,
        5.113837338575472,
        5.113858796302018,
        5.1138802540285635,
        5.113901711755109,
        5.113923169481655,
        5.113944150369834,
        5.11396560809638,
        5.113987065822926,
        5.114051439002563,
        5.114072419890741,
        5.114592173711518,
        5.116138083699554,
        5.116159064587732,
        5.11618004547591,
        5.116222484090635,
        5.116243941817181,
        5.116307361320082,
        5.116328819046628,
        5.116349799934806,
        5.116371257661352,
        5.116392238549531,
        5.1164132194377085,
        5.116434677164254,
        5.116455658052432,
        5.116477115778978,
        5.116498096667156,
        5.116519554393702,
        5.116540535281881,
        5.116561516170059,
        5.116582973896604,
        5.116603954784782,
        5.116625412511328,
        5.116646393399507,
        5.116667374287685,
        5.116688832014231,
        5.116709812902409,
        5.1167312706289545,
        5.116752251517132,
        5.116773232405311,
        5.116794690131857,
        5.116815671020035,
        5.116836651908213,
        5.116858109634759,
        5.116879090522937,
        5.1169000714111155,
        5.116921529137661,
        5.116942510025839,
        5.116963490914017,
        5.116984948640563,
        5.117005929528742,
        5.11702691041692,
        5.1170483681434655,
        5.1170693490316435,
        5.117090329919821,
        5.117111787646367,
        5.117132768534546,
        5.117153749422724,
        5.11717520714927,
        5.117196188037448,
        5.117217168925626,
        5.117238626652171,
        5.11725960754035,
        5.117280588428528,
        5.117301569316706,
        5.117323027043252,
        5.117344007931431,
        5.117364988819609,
        5.1173864465461545,
        5.117407427434332,
        5.11742840832251,
        5.117449389210689,
        5.117470846937235,
        5.117491827825413,
        5.117512808713591,
        5.117533789601769,
        5.117555247328315,
        5.117576228216493,
        5.117597209104671,
        5.117618189992849,
        5.117639647719395,
        5.117660628607573,
        5.117681609495752,
        5.11770259038393,
        5.117723571272108,
        5.1177450289986535,
        5.117766009886832,
        5.11778699077501,
        5.117807971663188,
        5.117828952551366,
        5.117850410277912,
        5.117871391166091,
        5.117892372054269,
        5.1179133529424465,
        5.1179343338306245,
        5.11795579155717,
        5.117976772445349,
        5.117997753333527,
        5.118018734221705,
        5.118039715109883,
        5.118060695998062,
        5.1180821537246075,
        5.118103134612785,
        5.118124115500963,
        5.118145096389141,
        5.11816607727732,
        5.118187058165498,
        5.118208039053676,
        5.118229496780222,
        5.118250477668401,
        5.1182714585565785,
        5.118292439444756,
        5.118313420332934,
        5.118334401221113,
        5.118355382109291,
        5.118376362997469,
        5.118397343885647,
        5.118418801612193,
        5.118439782500372,
        5.1184607633885495,
        5.118481744276727,
        5.118502725164905,
        5.118523706053084,
        5.118544686941262,
        5.11856566782944,
        5.118586648717618,
        5.118607629605797,
        5.118628610493975,
        5.118649591382153,
        5.118670572270331,
        5.118692029996877,
        5.118713010885055,
        5.118733991773233,
        5.118754972661411,
        5.11877595354959,
        5.118796934437768,
        5.118817915325946,
        5.118838896214124,
        5.118859877102302,
        5.11888085799048,
        5.118901838878658,
        5.118922819766836,
        5.118943800655015,
        5.118964781543193,
        5.118985762431371,
        5.119006743319549,
        5.119027724207728,
        5.1190487050959055,
        5.119069685984083,
        5.119090666872261,
        5.11911164776044,
        5.119132628648618,
        5.119153609536796,
        5.119174590424975,
        5.119195571313153,
        5.119216552201331,
        5.119237533089509,
        5.119258513977687,
        5.119279494865865,
        5.119300475754043,
        5.119320979803854,
        5.119341960692032,
        5.11936294158021,
        5.119383922468388,
        5.119404903356567,
        5.119425884244745,
        5.119446865132923,
        5.1194678460211005,
        5.119488826909279,
        5.119509807797457,
        5.119530788685635,
        5.119551769573813,
        5.119572750461992,
        5.119593254511802,
        5.11961423539998,
        5.119635216288159,
        5.119656197176337,
        5.1196771780645145,
        5.119698158952693,
        5.119719139840871,
        5.119740120729049,
        5.119761101617227,
        5.119781605667038,
        5.119802586555216,
        5.119823567443394,
        5.119844548331573,
        5.119865529219751,
        5.1198865101079285,
        5.119907490996106,
        5.119927995045917,
        5.119948975934095,
        5.119969956822273,
        5.119990937710452,
        5.12001191859863,
        5.120032899486808,
        5.120053403536619,
        5.120074384424797,
        5.120095365312975,
        5.1201163462011525,
        5.120137327089331,
        5.120157831139141,
        5.12017881202732,
        5.120199792915498,
        5.120220773803676,
        5.120241754691854,
        5.120262258741665,
        5.120283239629843,
        5.120304220518021,
        5.1203252014061995,
        5.120346182294377,
        5.1203666863441875,
        5.120387667232366,
        5.120408648120544,
        5.120429629008722,
        5.120450133058533,
        5.120471113946711,
        5.120492094834889,
        5.120513075723067,
        5.120533579772878,
        5.120554560661056,
        5.1205755415492336,
        5.120596522437412,
        5.120617026487222,
        5.1206380073754,
        5.120658988263579,
        5.120679492313389,
        5.120700473201568,
        5.120721454089746,
        5.120742434977924,
        5.120762939027735,
        5.120783919915913,
        5.120804900804091,
        5.1208254048539015,
        5.120846385742079,
        5.120867366630257,
        5.120887870680068,
        5.120908851568246,
        5.120929832456424,
        5.120950336506235,
        5.120971317394413,
        5.120992298282591,
        5.121012802332402,
        5.12103378322058,
        5.121054764108758,
        5.1210752681585685,
        5.121096249046746,
        5.121117229934924,
        5.121137733984735,
        5.121158714872913,
        5.121179695761091,
        5.121200199810902,
        5.12122118069908,
        5.12124168474889,
        5.121262665637069,
        5.121283646525247,
        5.121304150575058,
        5.1213251314632355,
        5.121345635513046,
        5.121366616401224,
        5.121387597289402,
        5.121408101339212,
        5.121429082227391,
        5.121449586277201,
        5.121470567165379,
        5.121491548053558,
        5.121512052103368,
        5.121533032991546,
        5.121553537041357,
        5.121574517929535,
        5.121595021979346,
        5.1216160028675235,
        5.121636983755701,
        5.121657487805512,
        5.12167846869369,
        5.1216989727435,
        5.121719953631679,
        5.121740457681489,
        5.121761438569667,
        5.121781942619478,
        5.121802923507656,
        5.121823427557467,
        5.121844408445645,
        5.121864912495455,
        5.1218858933836335,
        5.121906397433444,
        5.121927378321622,
        5.121947882371432,
        5.12196886325961,
        5.121989367309421,
        5.122010348197599,
        5.12203085224741,
        5.122051833135588,
        5.122072337185398,
        5.122093318073577,
        5.122113822123387,
        5.122134803011565,
        5.122155307061376,
        5.122176287949554,
        5.1221967919993645,
        5.122217772887542,
        5.1222382769373525,
        5.122259257825531,
        5.122279761875341,
        5.122300265925152,
        5.12232124681333,
        5.12234175086314,
        5.122362731751319,
        5.122383235801129,
        5.122404216689307,
        5.122424720739118,
        5.122445224788928,
        5.122466205677107,
        5.122486709726917,
        5.122507690615095,
        5.1225281946649055,
        5.122549175553083,
        5.122569679602894,
        5.122590183652704,
        5.122611164540883,
        5.122631668590693,
        5.122652172640504,
        5.122673153528682,
        5.122693657578492,
        5.122714638466671,
        5.122735142516481,
        5.122755646566292,
        5.12277662745447,
        5.12279713150428,
        5.122817635554091,
        5.122838616442269,
        5.1228591204920795,
        5.1228796245418895,
        5.122900605430067,
        5.122921109479878,
        5.122941613529688,
        5.122962594417867,
        5.122983098467677,
        5.123003602517488,
        5.123024583405666,
        5.123045087455476,
        5.123065591505287,
        5.123086572393465,
        5.123107076443276,
        5.123127580493086,
        5.123148561381264,
        5.123169065431075,
        5.123189569480885,
        5.123210073530696,
        5.1232310544188735,
        5.123251558468684,
        5.123272062518494,
        5.123293043406673,
        5.123313547456483,
        5.123334051506294,
        5.123354555556104,
        5.123375536444282,
        5.123396040494093,
        5.123416544543903,
        5.123437048593714,
        5.123458029481892,
        5.123478533531703,
        5.123499037581513,
        5.123519541631324,
        5.123540522519502,
        5.123561026569312,
        5.123581530619123,
        5.123602034668933,
        5.1236225387187435,
        5.123643519606921,
        5.123664023656732,
        5.123684527706542,
        5.123705031756353,
        5.123725535806163,
        5.123746516694341,
        5.123767020744152,
        5.123787524793962,
        5.123808028843773,
        5.123828532893583,
        5.123849513781762,
        5.123870017831572,
        5.123890521881383,
        5.123911025931193,
        5.123931529981004,
        5.123952034030814,
        5.123973014918992,
        5.123993518968803,
        5.124014023018613,
        5.1240345270684236,
        5.124055031118234,
        5.1240755351680445,
        5.1240960392178545,
        5.124117020106033,
        5.124137524155843,
        5.124158028205654,
        5.124178532255464,
        5.124199036305275,
        5.124219540355085,
        5.124240044404896,
        5.124260548454706,
        5.124281529342885,
        5.124302033392695,
        5.124322537442506,
        5.124343041492316,
        5.124363545542127,
        5.124384049591937,
        5.124404553641748,
        5.124425057691558,
        5.124445561741369,
        5.124466065791179,
        5.12448656984099,
        5.1245070738908,
        5.1245275779406105,
        5.1245485588287885,
        5.1245690628785985,
        5.124589566928409,
        5.124610070978219,
        5.12463057502803,
        5.12465107907784,
        5.124671583127651,
        5.124692087177461,
        5.124712591227272,
        5.124733095277082,
        5.124753599326893,
        5.124774103376703,
        5.124794607426514,
        5.124815111476324,
        5.124835615526135,
        5.124856119575945,
        5.124876623625756,
        5.124897127675566,
        5.124917631725377,
        5.124938135775187,
        5.124958639824998,
        5.124979143874808,
        5.124999647924619,
        5.125020151974429,
        5.12504065602424,
        5.1250611600740505,
        5.125081664123861,
        5.1251021681736715,
        5.1251226722234815,
        5.125368243982839,
        5.12538874803265,
        5.12540925208246,
        5.125429756132271,
        5.125450260182081,
        5.125470764231892,
        5.125490791443335,
        5.125511295493145,
        5.125531799542956,
        5.125552303592766,
        5.125572807642577,
        5.125593311692387,
        5.125613815742198,
        5.125634319792008,
        5.125654347003451,
        5.125674851053261,
        5.125695355103072,
        5.125715859152882,
        5.125736363202693,
        5.125756867252503,
        5.125777371302314,
        5.125797398513757,
        5.125817902563567,
        5.1258384066133775,
        5.1258589106631876,
        5.1258794147129985,
        5.1258999187628085,
        5.1259199459742515,
        5.1259404500240615,
        5.125960954073872,
        5.125981458123682,
        5.126001962173493,
        5.126021989384936,
        5.126042493434746,
        5.126062997484557,
        5.126083501534367,
        5.126104005584178,
        5.12612403279562,
        5.126144536845431,
        5.126165040895241,
        5.126185544945052,
        5.126206048994862,
        5.126226076206305,
        5.126246580256116,
        5.126267084305926,
        5.126287588355737,
        5.12630761556718,
        5.12632811961699,
        5.126348623666801,
        5.126369127716611,
        5.126389154928054,
        5.126409658977864,
        5.126430163027675,
        5.126450667077485,
        5.126470694288928,
        5.126491198338739,
        5.126511702388549,
        5.126531729599992,
        5.126552233649802,
        5.126572737699613,
        5.126593241749423,
        5.126613268960866,
        5.126633773010677,
        5.126654277060487,
        5.12667430427193,
        5.12669480832174,
        5.126715312371551,
        5.126735339582994,
        5.126755843632804,
        5.126776347682615,
        5.126796374894057,
        5.126816878943868,
        5.126837382993678,
        5.126857410205121,
        5.126877914254932,
        5.126898418304742,
        5.126918445516185,
        5.126938949565995,
        5.126959453615806,
        5.126979480827249,
        5.126999984877059,
        5.12702048892687,
        5.127040516138312,
        5.127061020188123,
        5.127081524237933,
        5.127101551449376,
        5.1271220554991865,
        5.127142082710629,
        5.12716258676044,
        5.12718309081025,
        5.127203118021693,
        5.1272236220715035,
        5.127243649282946,
        5.1272641533327565,
        5.127284657382567,
        5.12730468459401,
        5.1273251886438205,
        5.127345215855263,
        5.1273657199050735,
        5.1273857471165165,
        5.1274062511663265,
        5.127426755216137,
        5.12744678242758,
        5.1274672864773905,
        5.1274873136888335,
        5.1275078177386435,
        5.1275278449500865,
        5.1275483489998965,
        5.1275683762113395,
        5.1275888802611505,
        5.127608907472593,
        5.1276294115224035,
        5.1276499155722135,
        5.1276699427836565,
        5.127690446833467,
        5.1277104740449095,
        5.1277309780947204,
        5.1277510053061635,
        5.1277715093559735,
        5.1277915365674165,
        5.1278120406172265,
        5.1278320678286695,
        5.12785257187848,
        5.1278725990899225,
        5.1278931031397335,
        5.1279131303511765,
        5.1279336344009865,
        5.1279536616124295,
        5.1279736888238725,
        5.1279941928736825,
        5.1280142200851255,
        5.1280347241349356,
        5.128054751346379,
        5.1280752553961895,
        5.128095282607632,
        5.1281157866574425,
        5.1281358138688855,
        5.1281563179186955,
        5.1281763451301385,
        5.1281963723415815,
        5.128216876391392,
        5.128236903602835,
        5.1282574076526455,
        5.128277434864088,
        5.128297462075531,
        5.1283179661253415,
        5.128337993336784,
        5.1283584973865945,
        5.128378524598038,
        5.12839855180948,
        5.128419055859291,
        5.128439083070734,
        5.128459587120544,
        5.128479614331987,
        5.12849964154343,
        5.12852014559324,
        5.128540172804683,
        5.128560676854493,
        5.128580704065936,
        5.128600731277379,
        5.128621235327189,
        5.128641262538632,
        5.128661289750075,
        5.128681793799885,
        5.128701821011328,
        5.128721848222771,
        5.128742352272581,
        5.128762379484024,
        5.128782406695467,
        5.128802910745277,
        5.12882293795672,
        5.128842965168163,
        5.128863469217973,
        5.128883496429416,
        5.128903523640859,
        5.128924027690669,
        5.128944054902112,
        5.128964082113555,
        5.128984109324998,
        5.129004613374808,
        5.129024640586251,
        5.129044667797694,
        5.129065171847504,
        5.129085199058947,
        5.12910522627039,
        5.129125253481832,
        5.129145757531643,
        5.129165784743086,
        5.129185811954528,
        5.129205839165971,
        5.129226343215782,
        5.129246370427224,
        5.129266397638667,
        5.12928642485011,
        5.12930692889992,
        5.129326956111363,
        5.129346983322806,
        5.129367010534249,
        5.129387514584059,
        5.129407541795502,
        5.129427569006945,
        5.129447596218387,
        5.12946762342983,
        5.129488127479641,
        5.1295081546910835,
        5.1295281819025265,
        5.1295482091139695,
        5.1295682363254125,
        5.1295887403752225,
        5.1296087675866655,
        5.1296287947981085,
        5.129648822009551,
        5.129668849220994,
        5.129688876432437,
        5.129709380482247,
        5.12972940769369,
        5.129749434905133,
        5.129769462116576,
        5.129789489328018,
        5.129809516539461,
        5.129830020589272,
        5.129850047800714,
        5.129870075012157,
        5.1298901022236,
        5.129910129435043,
        5.129930156646485,
        5.129970687907739,
        5.130431790609291,
        5.130451817820733,
        5.130471845032176,
        5.130491872243619,
        5.130511899455062,
        5.130531926666504,
        5.130552430716315,
        5.130572457927758,
        5.1305924851392,
        5.130612512350643,
        5.130632539562086,
        5.130652566773529,
        5.130672593984971,
        5.130692621196414,
        5.130712648407857,
        5.1307326756193,
        5.130752702830742,
        5.130772730042185,
        5.13079228041526,
        5.130812307626703,
        5.130832334838146,
        5.1308523620495885,
        5.1308723892610315,
        5.1308924164724745,
        5.1309124436839175,
        5.13093247089536,
        5.130952498106803,
        5.130972525318246,
        5.130992552529689,
        5.131012579741131,
        5.131032606952574,
        5.131052634164017,
        5.13107266137546,
        5.131092688586902,
        5.131112715798345,
        5.131132743009788,
        5.131152770221231,
        5.131172320594306,
        5.131192347805748,
        5.131212375017191,
        5.131232402228634,
        5.131252429440077,
        5.131272456651519,
        5.131292483862962,
        5.131312511074405,
        5.131332538285848,
        5.1313520886589234,
        5.131372115870366,
        5.131392143081809,
        5.131412170293252,
        5.131432197504695,
        5.131452224716137,
        5.13147225192758,
        5.131492279139023,
        5.131511829512098,
        5.13153185672354,
        5.131551883934983,
        5.131571911146426,
        5.131591938357869,
        5.131611965569311,
        5.131631515942386,
        5.131651543153829,
        5.131671570365272,
        5.131691597576715,
        5.131711624788157,
        5.1317316519996,
        5.1317512023726755,
        5.1317712295841185,
        5.1317912567955615,
        5.131811284007004,
        5.131831311218447,
        5.131850861591522,
        5.131870888802965,
        5.131890916014408,
        5.13191094322585,
        5.131930493598925,
        5.131950520810368,
        5.131970548021811,
        5.131990575233254,
        5.132010602444696,
        5.132030152817771,
        5.132050180029214,
        5.132070207240657,
        5.1320902344521,
        5.132109784825175,
        5.1321298120366174,
        5.1321498392480605,
        5.1321698664595035,
        5.132189416832579,
        5.132209444044022,
        5.132229471255464,
        5.132249021628539,
        5.132269048839982,
        5.132289076051425,
        5.132309103262868,
        5.132328653635943,
        5.132348680847385,
        5.132368708058828,
        5.132388258431903,
        5.132408285643346,
        5.132428312854789,
        5.132448340066231,
        5.132467890439306,
        5.132487917650749,
        5.132507944862192,
        5.1325274952352675,
        5.1325475224467105,
        5.132567549658153,
        5.132587100031228,
        5.132607127242671,
        5.132627154454114,
        5.132646704827189,
        5.132666732038632,
        5.132686759250074,
        5.132706309623149,
        5.132726336834592,
        5.132745887207667,
        5.13276591441911,
        5.132785941630553,
        5.132805492003628,
        5.1328255192150705,
        5.1328455464265135,
        5.132865096799589,
        5.132885124011032,
        5.132904674384107,
        5.13292470159555,
        5.132944728806992,
        5.132964279180067,
        5.13298430639151,
        5.133003856764585,
        5.133023883976028,
        5.133043911187471,
        5.133063461560546,
        5.133083488771988,
        5.133103039145063,
        5.133123066356506,
        5.1331426167295815,
        5.1331626439410245,
        5.1331826711524675,
        5.133202221525543,
        5.133222248736985,
        5.13324179911006,
        5.133261826321503,
        5.133281376694578,
        5.133301403906021,
        5.133320954279096,
        5.133340981490539,
        5.133360531863613,
        5.133380559075056,
        5.133400109448131,
        5.133420136659574,
        5.1334396870326495,
        5.1334597142440925,
        5.133479741455535,
        5.13349929182861,
        5.133519319040053,
        5.133538869413128,
        5.133558896624571,
        5.133578446997646,
        5.133597997370721,
        5.133618024582164,
        5.133637574955239,
        5.133657602166681,
        5.133677152539756,
        5.133697179751199,
        5.1337167301242745,
        5.1337367573357175,
        5.133756307708793,
        5.133776334920236,
        5.133795885293311,
        5.133815912504753,
        5.133835462877828,
        5.133855013250903,
        5.133875040462346,
        5.133894590835421,
        5.133914618046864,
        5.133934168419939,
        5.133954195631382,
        5.133973746004457,
        5.1339932963775325,
        5.134013323588975,
        5.13403287396205,
        5.134052901173493,
        5.134072451546568,
        5.134092478758011,
        5.134112029131086,
        5.134131579504161,
        5.134151606715604,
        5.134171157088679,
        5.134190707461754,
        5.134210734673196,
        5.1342302850462715,
        5.1342503122577146,
        5.13426986263079,
        5.134289413003865,
        5.134309440215308,
        5.134328990588383,
        5.134348540961458,
        5.134368568172901,
        5.134388118545976,
        5.134407668919051,
        5.134427696130493,
        5.134447246503568,
        5.1344667968766435,
        5.1344868240880865,
        5.134506374461162,
        5.134525924834237,
        5.13454595204568,
        5.134565502418755,
        5.13458505279183,
        5.134605080003272,
        5.134624630376347,
        5.134644180749422,
        5.134664207960865,
        5.13468375833394,
        5.1347033087070155,
        5.134722859080091,
        5.134742886291534,
        5.134762436664609,
        5.134781987037684,
        5.134802014249127,
        5.134821564622202,
        5.134841114995277,
        5.134860665368352,
        5.134880692579794,
        5.134900242952869,
        5.1349197933259445,
        5.13493934369902,
        5.134959370910463,
        5.134978921283538,
        5.134998471656613,
        5.135018022029688,
        5.135038049241131,
        5.135057599614206,
        5.135077149987281,
        5.135096700360356,
        5.135116250733431,
        5.135136277944874,
        5.1351558283179495,
        5.135175378691025,
        5.1351949290641,
        5.135214956275542,
        5.135234506648617,
        5.135254057021692,
        5.135273607394767,
        5.135293157767842,
        5.135312708140917,
        5.13533273535236,
        5.1353522857254355,
        5.135371836098511,
        5.135391386471586,
        5.135410936844661,
        5.135430487217736,
        5.135450514429179,
        5.135470064802254,
        5.135489615175329,
        5.135509165548404,
        5.135528715921479,
        5.135548266294554,
        5.1355682935059965,
        5.135587843879072,
        5.135607394252147,
        5.135646494998297,
        5.135666045371372,
        5.135685595744447,
        5.135705146117522,
        5.135724696490597,
        5.13574472370204,
        5.1357642740751155,
        5.14370196396279,
        5.15258188646501,
        5.152672008916503,
        5.152694420319785,
        5.152717308561433,
        5.152785019609644,
        5.152807431012926,
        5.152829842416207,
        5.152852253819488,
        5.152875142061137,
        5.152897553464419,
        5.152919964867699,
        5.152942853109348,
        5.15296526451263,
        5.15298767591591,
        5.153010087319192,
        5.153032975560841,
        5.153055386964122,
        5.153077798367403,
        5.153100209770685,
        5.153123098012333,
        5.153190332222177,
        5.153213220463826,
        5.15328045467367,
        5.1533033429153186,
        5.153325754318599,
        5.153348165721881,
        5.153370577125162,
        5.153392988528443,
        5.153415876770092,
        5.153438288173374,
        5.153460699576654,
        5.153483110979936,
        5.153505522383217,
        5.153528410624866,
        5.153550822028147,
        5.153573233431429,
        5.153595644834709,
        5.153618056237991,
        5.153640467641272,
        5.153663355882921,
        5.153685767286202,
        5.153708178689484,
        5.153730590092764,
        5.153753001496046,
        5.153775412899327,
        5.153797824302608,
        5.153820712544257,
        5.153843123947539,
        5.154157360431843,
        5.154179771835124,
        5.1542021832384055,
        5.154225071480054,
        5.154247482883336,
        5.1542698942866165,
        5.154292305689898,
        5.154314717093179,
        5.1543371284964605,
        5.154359539899741,
        5.154381951303023,
        5.154404362706304,
        5.154426774109585,
        5.154449185512866,
        5.154471596916148,
        5.154494008319428,
        5.15451641972271,
        5.154538831125991,
        5.154561242529272,
        5.154583653932554,
        5.154606065335835,
        5.154628476739116,
        5.154650888142397,
        5.154673299545679,
        5.1546957109489595,
        5.154718122352241,
        5.154740533755522,
        5.1547629451588035,
        5.154785356562084,
        5.154807767965366,
        5.154830179368647,
        5.154852590771928,
        5.154875002175209,
        5.154897413578491,
        5.154919824981771,
        5.154942236385053,
        5.154964647788334,
        5.154987059191615,
        5.155009470594897,
        5.155031881998178,
        5.155054293401459,
        5.15507670480474,
        5.155099116208022,
        5.1551215276113025,
        5.155143939014584,
        5.155165873579497,
        5.155188284982779,
        5.15521069638606,
        5.155233107789341,
        5.155255519192623,
        5.155277930595903,
        5.155300341999185,
        5.155322753402466,
        5.155345164805747,
        5.155367576209028,
        5.15538998761231,
        5.155411922177223,
        5.155434333580504,
        5.155456744983786,
        5.1554791563870666,
        5.155501567790348,
        5.155523979193629,
        5.1555463905969106,
        5.155568802000191,
        5.155590736565105,
        5.155613147968387,
        5.155635559371667,
        5.155657970774949,
        5.15568038217823,
        5.155702793581511,
        5.155724728146424,
        5.155747139549706,
        5.1557695509529875,
        5.155791962356268,
        5.15581437375955,
        5.155836785162831,
        5.155858719727744,
        5.155881131131025,
        5.155903542534307,
        5.1559259539375875,
        5.155948365340869,
        5.155970299905783,
        5.155992711309064,
        5.156015122712345,
        5.156037534115626,
        5.156059945518908,
        5.156081880083821,
        5.156104291487102,
        5.156126702890384,
        5.156149114293664,
        5.156171048858578,
        5.15619346026186,
        5.1562158716651405,
        5.156238283068422,
        5.156260694471703,
        5.156282629036617,
        5.156305040439897,
        5.156327451843179,
        5.156349386408093,
        5.1563717978113734,
        5.156394209214655,
        5.156416620617936,
        5.1564385551828495,
        5.156460966586131,
        5.156483377989412,
        5.1565057893926936,
        5.156527723957606,
        5.156550135360888,
        5.156572546764169,
        5.1565944813290825,
        5.156616892732364,
        5.156639304135645,
        5.156661238700559,
        5.15668365010384,
        5.156706061507121,
        5.156727996072035,
        5.156750407475315,
        5.156772818878597,
        5.156794753443511,
        5.1568171648467915,
        5.156839576250073,
        5.156861510814987,
        5.156883922218268,
        5.157039848364501,
        5.157084194332696,
        5.157106128897609,
        5.15712854030089,
        5.157150951704171,
        5.157172886269085,
        5.1571952976723665,
        5.15721723223728,
        5.157239643640561,
        5.157262055043843,
        5.1572839896087554,
        5.157306401012037,
        5.157328335576951,
        5.1573507469802315,
        5.157373158383513,
        5.157395092948426,
        5.157417504351708,
        5.157439438916621,
        5.157461850319902,
        5.157483784884816,
        5.1575061962880975,
        5.157528607691378,
        5.157550542256292,
        5.157572953659573,
        5.157594888224486,
        5.157617299627768,
        5.157639234192682,
        5.1576616455959625,
        5.157683580160876,
        5.157705991564157,
        5.157727926129071,
        5.157750337532352,
        5.157772272097265,
        5.157794683500547,
        5.1578166180654605,
        5.157839029468741,
        5.157860964033655,
        5.157883375436937,
        5.1579053100018495,
        5.157927721405131,
        5.157949655970045,
        5.157972067373326,
        5.157994001938239,
        5.15801641334152,
        5.158038347906434,
        5.158060759309715,
        5.158082693874629,
        5.15810510527791,
        5.158127039842824,
        5.158148974407737,
        5.158171385811018,
        5.158193320375932,
        5.1582157317792126,
        5.158237666344126,
        5.158260077747408,
        5.158282012312322,
        5.158304423715602,
        5.158326358280516,
        5.15834829284543,
        5.158370704248711,
        5.158392638813624,
        5.158415050216905,
        5.158436984781819,
        5.1584589193467325,
        5.158481330750013,
        5.158503265314927,
        5.158525676718209,
        5.158547611283122,
        5.158569545848035,
        5.158591957251317,
        5.1586138918162305,
        5.158635826381143,
        5.158658237784425,
        5.158680172349339,
        5.1587025837526195,
        5.158724518317533,
        5.158746452882447,
        5.158768864285728,
        5.158790798850641,
        5.158812733415555,
        5.158835144818836,
        5.15885707938375,
        5.158879013948663,
        5.158901425351944,
        5.158923359916858,
        5.1589452944817715,
        5.158967705885053,
        5.158989640449966,
        5.15901157501488,
        5.159033986418161,
        5.159055920983074,
        5.159077855547988,
        5.159099790112902,
        5.159122201516182,
        5.159144136081096,
        5.15916607064601,
        5.1591884820492915,
        5.159210416614204,
        5.159232351179118,
        5.159254285744032,
        5.1592766971473125,
        5.159298631712226,
        5.15932056627714,
        5.159342977680421,
        5.1593649122453344,
        5.159386846810248,
        5.159408781375162,
        5.159431192778443,
        5.159453127343356,
        5.15947506190827,
        5.159496996473184,
        5.159518931038097,
        5.159541342441378,
        5.159563277006292,
        5.159585211571205,
        5.159607146136119,
        5.1596295575394,
        5.159651492104314,
        5.159673426669227,
        5.1596953612341405,
        5.159717295799054,
        5.159739707202335,
        5.159761641767249,
        5.1597835763321624,
        5.159805510897076,
        5.159827445461989,
        5.159849380026903,
        5.159871791430184,
        5.159893725995098,
        5.159915660560011,
        5.159937595124925,
        5.159959529689838,
        5.159981464254752,
        5.160003875658033,
        5.160025810222947,
        5.1602017635806225,
        5.160223698145536,
        5.160245632710449,
        5.160267567275363,
        5.160289501840277,
        5.16031143640519,
        5.160333370970104,
        5.160355782373385,
        5.1603777169382985,
        5.160399651503212,
        5.160421586068125,
        5.160443520633039,
        5.1604654551979525,
        5.160487389762866,
        5.160509324327779,
        5.160531258892693,
        5.1605531934576065,
        5.16057512802252,
        5.160597062587434,
        5.160618997152347,
        5.160640931717261,
        5.160663343120542,
        5.160685277685455,
        5.160707212250369,
        5.1607291468152825,
        5.160751081380196,
        5.160773015945109,
        5.160794950510023,
        5.1608168850749365,
        5.16083881963985,
        5.160860754204764,
        5.160882688769677,
        5.1609046233345905,
        5.160926557899504,
        5.160948492464418,
        5.160970427029331,
        5.160992361594245,
        5.161014296159158,
        5.161036230724072,
        5.161058165288986,
        5.161080099853899,
        5.161102034418812,
        5.161123968983726,
        5.16114590354864,
        5.161167838113553,
        5.161189772678466,
        5.161211230405012,
        5.161233164969926,
        5.16125509953484,
        5.161277034099753,
        5.161298968664666,
        5.16132090322958,
        5.161342837794494,
        5.161364772359407,
        5.16138670692432,
        5.161408641489234,
        5.161430576054148,
        5.161452510619061,
        5.161474445183974,
        5.161496379748888,
        5.161518314313802,
        5.1615397720403475,
        5.161561706605261,
        5.161583641170175,
        5.161605575735088,
        5.1616275103000016,
        5.161649444864915,
        5.161671379429829,
        5.161693313994742,
        5.161714771721288,
        5.161736706286201,
        5.161758640851115,
        5.161780575416029,
        5.161802509980943,
        5.161824444545855,
        5.161846379110769,
        5.161868313675683,
        5.161889771402229,
        5.161911705967142,
        5.161933640532055,
        5.161955575096969,
        5.161977509661883,
        5.1619994442267965,
        5.162020901953342,
        5.162042836518256,
        5.162064771083169,
        5.162086705648083,
        5.162108640212996,
        5.162130097939542,
        5.162152032504456,
        5.162173967069369,
        5.162195901634282,
        5.162217836199196,
        5.162239293925742,
        5.162261228490656,
        5.1622831630555694,
        5.162305097620482,
        5.162327032185396,
        5.162348489911942,
        5.162370424476856,
        5.162392359041769,
        5.162414293606682,
        5.162435751333228,
        5.162457685898142,
        5.162479620463055,
        5.162501555027969,
        5.162523012754515,
        5.162544947319429,
        5.1625668818843415,
        5.162588816449255,
        5.162610274175801,
        5.162632208740715,
        5.1626541433056286,
        5.162675601032174,
        5.162697535597087,
        5.162719470162001,
        5.162741404726915,
        5.1627628624534605,
        5.162784797018374,
        5.162806731583288,
        5.162828189309834,
        5.162850123874747,
        5.16287205843966,
        5.162893516166206,
        5.16291545073112,
        5.162937385296034,
        5.1629588430225795,
        5.162980777587492,
        5.163002712152406,
        5.163024169878952,
        5.163046104443866,
        5.163068039008779,
        5.163089496735325,
        5.163111431300239,
        5.163133365865152,
        5.1631548235916975,
        5.163176758156611,
        5.163198692721525,
        5.163220150448071,
        5.1632420850129845,
        5.16326354273953,
        5.163285477304444,
        5.163307411869357,
        5.163328869595903,
        5.1633508041608165,
        5.16337273872573,
        5.163394196452276,
        5.16341613101719,
        5.163437588743736,
        5.163459523308648,
        5.163481457873562,
        5.163502915600108,
        5.163524850165022,
        5.1635463078915675,
        5.163568242456481,
        5.163589700183027,
        5.163611634747941,
        5.163633569312854,
        5.1636550270393995,
        5.163676961604313,
        5.163698419330859,
        5.163720353895773,
        5.163741811622319,
        5.163763746187232,
        5.163785203913778,
        5.163807138478691,
        5.163828596205238,
        5.1638505307701505,
        5.163871988496696,
        5.16389392306161,
        5.163915380788156,
        5.16393731535307,
        5.163959249917983,
        5.163980707644529,
        5.164002642209442,
        5.164024099935988,
        5.164045557662534,
        5.164067492227447,
        5.164088949953993,
        5.164110884518907,
        5.164132342245453,
        5.1641542768103665,
        5.164175734536912,
        5.164197669101826,
        5.164219126828372,
        5.164241061393285,
        5.164262519119831,
        5.164284453684744,
        5.16430591141129,
        5.164327845976204,
        5.16434930370275,
        5.1643707614292955,
        5.164392695994209,
        5.164414153720755,
        5.164436088285669,
        5.164457546012215,
        5.1644794805771275,
        5.164500938303673,
        5.164522396030219,
        5.164544330595133,
        5.164565788321679,
        5.164587722886592,
        5.164609180613138,
        5.164630638339684,
        5.164652572904598,
        5.164674030631144,
        5.164695965196057,
        5.164717422922603,
        5.164738880649149,
        5.164760815214062,
        5.164782272940608,
        5.164804207505521,
        5.164825665232067,
        5.164847122958613,
        5.164869057523527,
        5.164890515250073,
        5.164911972976618,
        5.164933907541532,
        5.164955365268078,
        5.164976822994624,
        5.1649987575595375,
        5.165020215286083,
        5.165041673012629,
        5.165063607577542,
        5.165085065304088,
        5.165106523030634,
        5.165128457595547,
        5.165149915322093,
        5.165171373048639,
        5.165193307613553,
        5.165214765340099,
        5.165236223066644,
        5.16525768079319,
        5.165279615358104,
        5.16530107308465,
        5.165322530811196,
        5.165344465376109,
        5.165365923102655,
        5.165387380829201,
        5.165408838555747,
        5.16543077312066,
        5.1654522308472055,
        5.165473688573751,
        5.165495146300297,
        5.165517080865211,
        5.165538538591757,
        5.1655599963183025,
        5.165581454044848,
        5.165603388609762,
        5.165624846336308,
        5.165646304062854,
        5.1656677617894,
        5.165689696354313,
        5.165711154080859,
        5.165732611807405,
        5.165754069533951,
        5.165775527260497,
        5.16579746182541,
        5.165818919551956,
        5.165840377278502,
        5.165861835005048,
        5.165883292731594,
        5.165905227296507,
        5.165926685023053,
        5.165948142749599,
        5.165969600476145,
        5.165991058202691,
        5.1660129927676035,
        5.166034450494149,
        5.166055908220695,
        5.166077365947241,
        5.166098823673788,
        5.1661202814003335,
        5.166141739126879,
        5.166163673691792,
        5.166185131418338,
        5.166206589144884,
        5.16622804687143,
        5.1662495045979755,
        5.166270962324521,
        5.166292420051067,
        5.166314354615981,
        5.166335812342527,
        5.1663572700690725,
        5.166378727795618,
        5.166400185522164,
        5.16642164324871,
        5.166443100975256,
        5.166464558701802,
        5.1664860164283475,
        5.166507474154893,
        5.166529408719807,
        5.166550866446353,
        5.166572324172899,
        5.1665937818994445,
        5.16661523962599,
        5.166636697352536,
        5.166658155079082,
        5.166679612805628,
        5.166701070532174,
        5.1667225282587195,
        5.166743985985265,
        5.166765443711811,
        5.166786901438357,
        5.166808359164903,
        5.166829816891449,
        5.166851274617994,
        5.16687273234454,
        5.166894190071086,
        5.166915647797632,
        5.166937105524178,
        5.166958563250724,
        5.166980020977269,
        5.167001478703815,
        5.167022936430361,
        5.167044394156908,
        5.167065851883454,
        5.167087309609999,
        5.167108767336545,
        5.167130225063091,
        5.167151682789637,
        5.167173140516183,
        5.1671945982427285,
        5.167216055969274,
        5.16723751369582,
        5.167258971422366,
        5.167280429148912,
        5.167301886875458,
        5.1673233446020035,
        5.167344802328549,
        5.167366260055095,
        5.167387717781641,
        5.167409175508187,
        5.167430633234733,
        5.167452090961278,
        5.167473548687824,
        5.16749500641437,
        5.167516464140916,
        5.167537445029094,
        5.16755890275564,
        5.1675803604821855,
        5.167601818208731,
        5.167623275935277,
        5.167644733661823,
        5.167666191388369,
        5.167687649114915,
        5.1677091068414605,
        5.167730564568006,
        5.167751545456185,
        5.167773003182731,
        5.167794460909277,
        5.167815918635823,
        5.167837376362368,
        5.167858834088914,
        5.16788029181546,
        5.167901272703638,
        5.167922730430184,
        5.16794418815673,
        5.1679656458832754,
        5.167987103609821,
        5.168008561336367,
        5.168030019062913,
        5.168050999951091,
        5.168072457677637,
        5.1680939154041825,
        5.168115373130728,
        5.168136830857274,
        5.168157811745453,
        5.168179269471999,
        5.168200727198545,
        5.1682221849250904,
        5.168243642651636,
        5.168264623539814,
        5.16828608126636,
        5.168307538992906,
        5.168328996719452,
        5.1683504544459975,
        5.168371435334175,
        5.168392893060721,
        5.168414350787267,
        5.168435808513813,
        5.168456789401992,
        5.1684782471285375,
        5.168499704855083,
        5.168521162581629,
        5.168542620308175,
        5.168563601196353,
        5.168585058922899,
        5.168606516649445,
        5.1686274975376225,
        5.168648955264168,
        5.168670412990714,
        5.16869187071726,
        5.168712851605439,
        5.168734309331985,
        5.1687557670585305,
        5.168777224785076,
        5.168798205673254,
        5.1688196633998,
        5.168841121126346,
        5.168862102014524,
        5.16888355974107,
        5.168905017467615,
        5.168925998355793,
        5.168947456082339,
        5.168968913808885,
        5.168989894697064,
        5.16901135242361,
        5.1690328101501555,
        5.169053791038333,
        5.169075248764879,
        5.169096706491425,
        5.169117687379603,
        5.169139145106149,
        5.169160602832695,
        5.169181583720873,
        5.169203041447419,
        5.169224499173965,
        5.169245480062143,
        5.169266937788689,
        5.169287918676867,
        5.169309376403413,
        5.169330834129958,
        5.169351815018136,
        5.169373272744682,
        5.169394730471229,
        5.169415711359407,
        5.169437169085953,
        5.169458149974131,
        5.169479607700676,
        5.169501065427222,
        5.1695220463154,
        5.169543504041946,
        5.169564484930125,
        5.169585942656671,
        5.1696069235448485,
        5.169628381271394,
        5.16964983899794,
        5.169670819886118,
        5.169692277612664,
        5.169713258500842,
        5.169734716227388,
        5.1697556971155665,
        5.169777154842112,
        5.16979813573029,
        5.169819593456836,
        5.169840574345014,
        5.16986203207156,
        5.169883489798106,
        5.1699044706862844,
        5.16992592841283,
        5.169946909301008,
        5.169968367027554,
        5.169989347915732,
        5.170010805642278,
        5.170031786530456,
        5.1700532442570015,
        5.17007422514518,
        5.170095682871726,
        5.170116663759904,
        5.17013812148645,
        5.170159102374628,
        5.170180083262807,
        5.1702015409893525,
        5.17022252187753,
        5.170243979604076,
        5.170264960492254,
        5.1702864182188,
        5.170307399106978,
        5.170328856833524,
        5.1703498377217025,
        5.170371295448248,
        5.170392276336426,
        5.170413257224604,
        5.17043471495115,
        5.170455695839328,
        5.170477153565874,
        5.170498134454053,
        5.170519592180598,
        5.170540573068776,
        5.170561553956954,
        5.1705830116835,
        5.170603992571679,
        5.170625450298225,
        5.170646431186403,
        5.170667412074581,
        5.170688869801126,
        5.170709850689304,
        5.17073130841585,
        5.170752289304029,
        5.170773270192207,
        5.170794727918753,
        5.170815708806931,
        5.170836689695109,
        5.170858147421654,
        5.170879128309833,
        5.170900109198011,
        5.170921566924557,
        5.170942547812735,
        5.170964005539281,
        5.1709849864274595,
        5.171005967315637,
        5.171027425042183,
        5.171048405930361,
        5.171069386818539,
        5.171090367706718,
        5.171111825433264,
        5.171132806321442,
        5.17115378720962,
        5.171175244936165,
        5.171196225824343,
        5.171217206712522,
        5.171238664439068,
        5.171259645327246,
        5.171280626215424,
        5.17130208394197,
        5.171323064830148,
        5.171344045718326,
        5.171365026606504,
        5.17138648433305,
        5.171407465221228,
        5.171428446109407,
        5.171449426997585,
        5.171470884724131,
        5.171491865612309,
        5.1715128465004865,
        5.171533827388665,
        5.171555285115211,
        5.171618227779745,
        5.171639685506291,
        5.1716606663944695,
        5.1716816472826475,
        5.171702628170825,
        5.171723609059003,
        5.171745066785549,
        5.171766047673728,
        5.171787028561906,
        5.171808009450084,
        5.171828990338263,
        5.172757871478513,
        5.17478348086444,
        5.174804461752619,
        5.1749918592311195,
        5.175012840119297,
        5.175054325057286,
        5.175075305945464,
        5.175095809995274,
        5.175116790883453,
        5.175137771771631,
        5.175158275821441,
        5.17517925670962,
        5.17519976075943,
        5.175220741647608,
        5.1752417225357865,
        5.1752622265855965,
        5.175283207473775,
        5.175304188361953,
        5.175324692411763,
        5.175345673299942,
        5.175366177349752,
        5.17538715823793,
        5.175408139126109,
        5.175428643175919,
        5.175449624064097,
        5.175470128113908,
        5.175491109002086,
        5.1755116130518966,
        5.1758229885059945,
        5.1758439693941725,
        5.175864473443983,
        5.175885454332161,
        5.175905958381972,
        5.17592693927015,
        5.175947443319961,
        5.175968424208139,
        5.175988928257949,
        5.176009909146128,
        5.176030413195938,
        5.176051394084116,
        5.176071898133927,
        5.176092879022105,
        5.1761133830719155,
        5.176134363960093,
        5.176154868009903,
        5.176175848898082,
        5.176196352947892,
        5.17621733383607,
        5.176237837885881,
        5.176258341935691,
        5.17627932282387,
        5.17629982687368,
        5.176320807761858,
        5.176341311811669,
        5.176362292699847,
        5.176382796749658,
        5.176403300799468,
        5.176424281687646,
        5.1764447857374565,
        5.176465766625634,
        5.176486270675445,
        5.176506774725255,
        5.176527755613433,
        5.176548259663244,
        5.176569240551422,
        5.176589744601233,
        5.176610248651043,
        5.176631229539222,
        5.176651733589032,
        5.176672237638843,
        5.176693218527021,
        5.176713722576831,
        5.1767347034650095,
        5.1767552075148195,
        5.1767757115646305,
        5.176796692452808,
        5.176817196502618,
        5.176837700552429,
        5.176858681440607,
        5.176879185490418,
        5.176899689540228,
        5.176920670428406,
        5.176941174478217,
        5.176961678528027,
        5.176982659416206,
        5.177003163466016,
        5.177023667515827,
        5.177044171565637,
        5.177065152453815,
        5.177085656503626,
        5.177106160553436,
        5.1771271414416145,
        5.1771476454914245,
        5.177168149541235,
        5.177188653591045,
        5.177209634479223,
        5.177230138529034,
        5.177250642578844,
        5.177271623467023,
        5.177292127516833,
        5.177312631566644,
        5.177333135616454,
        5.177354116504633,
        5.177374620554443,
        5.177395124604254,
        5.177415628654064,
        5.177436609542242,
        5.177457113592053,
        5.177477617641863,
        5.177498121691674,
        5.177518625741484,
        5.177539606629662,
        5.177560110679472,
        5.177580614729283,
        5.177601118779093,
        5.177621622828904,
        5.177642603717082,
        5.177663107766892,
        5.177683611816703,
        5.177704115866513,
        5.177724619916324,
        5.177745600804502,
        5.177766104854313,
        5.177786608904123,
        5.177807112953934,
        5.177827617003744,
        5.177848121053555,
        5.177869101941733,
        5.177889605991543,
        5.177910110041354,
        5.177930614091164,
        5.1779511181409745,
        5.1779716221907846,
        5.177992603078963,
        5.178013107128773,
        5.178033611178584,
        5.178054115228394,
        5.178074619278205,
        5.178095123328015,
        5.178115627377826,
        5.178136131427636,
        5.178157112315815,
        5.178177616365625,
        5.178198120415436,
        5.178218624465246,
        5.178239128515057,
        5.178259632564867,
        5.178280136614678,
        5.178300640664488,
        5.178321144714299,
        5.178341648764109,
        5.17836215281392,
        5.17838265686373,
        5.178403637751908,
        5.1784241418017185,
        5.1784446458515285,
        5.178465149901339,
        5.1784856539511495,
        5.17850615800096,
        5.17852666205077,
        5.178547166100581,
        5.178567670150391,
        5.178588174200202,
        5.178608678250012,
        5.178629182299823,
        5.178649686349633,
        5.178670190399444,
        5.178690694449254,
        5.178711198499065,
        5.178731702548875,
        5.178752206598686,
        5.178772710648496,
        5.178793214698307,
        5.178813718748117,
        5.178834222797928,
        5.178854726847738,
        5.178875230897549,
        5.178895734947359,
        5.17891623899717,
        5.17893674304698,
        5.178957247096791,
        5.178977751146601,
        5.1789982551964115,
        5.179018759246222,
        5.1790392632960325,
        5.1790597673458425,
        5.179080271395653,
        5.179100775445463,
        5.179121279495274,
        5.179141783545085,
        5.179162287594895,
        5.179182314806338,
        5.179202818856148,
        5.179223322905959,
        5.179243826955769,
        5.17926433100558,
        5.17928483505539,
        5.179305339105201,
        5.179325843155011,
        5.179346347204822,
        5.179366851254632,
        5.179387355304443,
        5.179407382515886,
        5.179427886565696,
        5.179448390615507,
        5.179468894665317,
        5.179489398715128,
        5.179509902764938,
        5.179530406814749,
        5.179550910864559,
        5.179570938076002,
        5.179591442125812,
        5.179611946175623,
        5.179632450225433,
        5.179652954275244,
        5.179673458325054,
        5.179693962374865,
        5.179713989586308,
        5.179734493636118,
        5.1797549976859285,
        5.1797755017357385,
        5.179796005785549,
        5.1798165098353595,
        5.1798365370468025,
        5.1798570410966125,
        5.179877545146423,
        5.179898049196233,
        5.179918553246044,
        5.179938580457487,
        5.179959084507297,
        5.179979588557108,
        5.180000092606918,
        5.180020596656729,
        5.180040623868171,
        5.180061127917982,
        5.180081631967792,
        5.180102136017603,
        5.180122163229046,
        5.180142667278856,
        5.180163171328667,
        5.180183675378477,
        5.18020370258992,
        5.18022420663973,
        5.180244710689541,
        5.180265214739351,
        5.180285241950794,
        5.180305746000605,
        5.180326250050415,
        5.180346754100226,
        5.180366781311668,
        5.180387285361479,
        5.18040778941129,
        5.180427816622732,
        5.180448320672543,
        5.180468824722353,
        5.180489328772164,
        5.180509355983607,
        5.180529860033417,
        5.180550364083228,
        5.18057039129467,
        5.180590895344481,
        5.180611399394291,
        5.180631426605734,
        5.180651930655545,
        5.180672434705355,
        5.180692461916798,
        5.180712965966608,
        5.180733470016419,
        5.180753497227862,
        5.180774001277672,
        5.180794505327483,
        5.180814532538925,
        5.180835036588736,
        5.180855540638546,
        5.180875567849989,
        5.1808960718998,
        5.18091657594961,
        5.180936603161053,
        5.180957107210863,
        5.180977134422306,
        5.180997638472117,
        5.181018142521927,
        5.18103816973337,
        5.18105867378318,
        5.181078700994623,
        5.1810992050444336,
        5.181119709094244,
        5.181139736305687,
        5.181160240355497,
        5.18118026756694,
        5.1812007716167505,
        5.181220798828193,
        5.1812413028780036,
        5.181261806927814,
        5.181281834139257,
        5.1813023381890675,
        5.18132236540051,
        5.1813428694503205,
        5.1813628966617635,
        5.1813834007115736,
        5.181403427923017,
        5.181423931972827,
        5.1814444360226375,
        5.1814644632340805,
        5.1814849672838905,
        5.1815049944953335,
        5.1815254985451435,
        5.181545525756587,
        5.1815660298063975,
        5.18158605701784,
        5.1816065610676505,
        5.1816265882790935,
        5.1816470923289035,
        5.1816671195403465,
        5.1816876235901566,
        5.1817076508016,
        5.1817281548514105,
        5.181748182062853,
        5.1817686861126635,
        5.1817887133241065,
        5.1818092173739165,
        5.1818292445853595,
        5.1818492717968025,
        5.181869775846613,
        5.181889803058056,
        5.181910307107866,
        5.181930334319309,
        5.1819508383691195,
        5.181970865580562,
        5.1819913696303725,
        5.1820113968418156,
        5.182031424053258,
        5.182051928103069,
        5.182071955314512,
        5.182092459364322,
        5.182112486575765,
        5.182132990625575,
        5.182153017837018,
        5.182173045048461,
        5.182193549098271,
        5.182213576309714,
        5.182234080359525,
        5.182254107570967,
        5.18227413478241,
        5.182294638832221,
        5.182314666043663,
        5.182334693255106,
        5.182355197304917,
        5.182375224516359,
        5.18239572856617,
        5.182415755777613,
        5.182435782989055,
        5.182456287038866,
        5.182476314250309,
        5.182496341461751,
        5.182516845511562,
        5.182536872723005,
        5.182556899934447,
        5.182577403984258,
        5.182597431195701,
        5.182617458407143,
        5.182637962456954,
        5.182657989668397,
        5.182678016879839,
        5.18269852092965,
        5.182718548141093,
        5.182738575352535,
        5.182759079402346,
        5.182779106613789,
        5.182799133825232,
        5.182819161036674,
        5.182839665086485,
        5.182859692297928,
        5.18287971950937,
        5.182900223559181,
        5.182920250770624,
        5.182940277982066,
        5.182960305193509,
        5.18298080924332,
        5.183000836454762,
        5.183020863666205,
        5.183040890877648,
        5.183061394927458,
        5.183081422138901,
        5.183101449350344,
        5.183121476561787,
        5.183141980611597,
        5.18316200782304,
        5.183182035034483,
        5.183202062245925,
        5.183222089457368,
        5.183242593507179,
        5.183262620718621,
        5.183282647930064,
        5.183302675141507,
        5.1833231791913175,
        5.1833432064027605,
        5.1833632336142035,
        5.1833832608256465,
        5.183403288037089,
        5.183423315248532,
        5.1834438192983425,
        5.183463846509785,
        5.183483873721228,
        5.183503900932671,
        5.183523928144114,
        5.183543955355556,
        5.183564459405367,
        5.18358448661681,
        5.183604513828252,
        5.183624541039695,
        5.183644568251138,
        5.183664595462581,
        5.183685099512391,
        5.183705126723834,
        5.183725153935277,
        5.183745181146719,
        5.183765208358162,
        5.183785235569605,
        5.183805262781048,
        5.18382528999249,
        5.183845317203933,
        5.183865821253744,
        5.183885848465186,
        5.183905875676629,
        5.183925902888072,
        5.183945930099515,
        5.183965957310957,
        5.1839859845224,
        5.184006011733843,
        5.184026038945286,
        5.1840460661567285,
        5.1840660933681715,
        5.1840861205796145,
        5.1841066246294245,
        5.1841266518408675,
        5.1841466790523105,
        5.1841667062637535,
        5.184186733475196,
        5.184206760686639,
        5.184226787898082,
        5.184246815109525,
        5.184266842320967,
        5.18428686953241,
        5.184306896743853,
        5.184326923955296,
        5.184346951166738,
        5.184366978378181,
        5.184387005589624,
        5.184407032801067,
        5.184427060012509,
        5.184447087223952,
        5.184467114435395,
        5.184487141646837,
        5.18450716885828,
        5.184527196069723,
        5.184547223281166,
        5.184567250492608,
        5.184587277704051,
        5.184607304915494,
        5.184627332126937,
        5.1846473593383795,
        5.1846673865498225,
        5.1846874137612655,
        5.1847074409727085,
        5.184727468184151,
        5.184747495395594,
        5.184767522607037,
        5.184787072980112,
        5.184807100191555,
        5.184827127402997,
        5.18484715461444,
        5.184867181825883,
        5.184887209037326,
        5.184907236248768,
        5.184927263460211,
        5.184947290671654,
        5.184967317883097,
        5.184987345094539,
        5.185007372305982,
        5.185026922679057,
        5.1850469498905,
        5.185066977101943,
        5.185087004313385,
        5.185107031524828,
        5.185127058736271,
        5.1851470859477145,
        5.185167113159157,
        5.1851871403706,
        5.185206690743675,
        5.185226717955118,
        5.185246745166561,
        5.185266772378003,
        5.185286799589446,
        5.185306826800889,
        5.185326377173964,
        5.185346404385407,
        5.185366431596849,
        5.185386458808292,
        5.185406486019735,
        5.185426513231178,
        5.185446063604253,
        5.185466090815695,
        5.185486118027138,
        5.185506145238581,
        5.185526172450024,
        5.1855461996614665,
        5.185565750034542,
        5.185585777245985,
        5.185605804457428,
        5.185625831668871,
        5.185645382041946,
        5.185665409253388,
        5.185685436464831,
        5.185705463676274,
        5.185725490887717,
        5.185745041260792,
        5.185765068472234,
        5.185785095683677,
        5.18580512289512,
        5.185824673268195,
        5.185844700479638,
        5.18586472769108,
        5.185884754902523,
        5.185904305275598,
        5.185924332487041,
        5.185944359698484,
        5.185964386909927,
        5.185983937283002,
        5.186003964494445,
        5.186023991705888,
        5.186043542078963,
        5.186063569290406,
        5.186083596501848,
        5.186103623713291,
        5.186123174086366,
        5.186143201297809,
        5.186163228509252,
        5.186182778882327,
        5.186202806093769,
        5.186222833305212,
        5.186242383678287,
        5.18626241088973,
        5.186282438101173,
        5.1863019884742485,
        5.186322015685691,
        5.186342042897134,
        5.186361593270209,
        5.186381620481652,
        5.186401647693095,
        5.18642119806617,
        5.186441225277612,
        5.186461252489055,
        5.18648080286213,
        5.186500830073573,
        5.186520380446648,
        5.186540407658091,
        5.186560434869533,
        5.186579985242608,
        5.1866000124540514,
        5.1866200396654945,
        5.18663959003857,
        5.186659617250013,
        5.186679167623088,
        5.18669919483453,
        5.186719222045973,
        5.186738772419048,
        5.186758799630491,
        5.186778350003566,
        5.186798377215009,
        5.186817927588083,
        5.186837954799526,
        5.186857982010969,
        5.186877532384044,
        5.186897559595487,
        5.1869171099685625,
        5.186937137180005,
        5.18695668755308,
        5.186976714764523,
        5.186996265137598,
        5.187016292349041,
        5.187273785067591,
        5.187293335440666,
        5.187313362652109,
        5.187332913025184,
        5.187352940236627,
        5.187372490609702,
        5.187392040982777,
        5.187412068194219,
        5.187431618567294,
        5.187451645778737,
        5.1874711961518125,
        5.1874912233632555,
        5.187510773736331,
        5.187530800947774,
        5.187550351320849,
        5.187570378532291,
        5.187589928905366,
        5.187609479278441,
        5.187629506489884,
        5.187649056862959,
        5.187669084074402,
        5.187688634447477,
        5.18770866165892,
        5.187728212031995,
        5.1877477624050705,
        5.187767789616513,
        5.187787339989588,
        5.187807367201031,
        5.187826917574106,
        5.187846467947181,
        5.187866495158624,
        5.187886045531699,
        5.187905595904774,
        5.187925623116217,
        5.187945173489292,
        5.187965200700734,
        5.1879847510738095,
        5.188004301446885,
        5.188024328658328,
        5.188043879031403,
        5.188063429404478,
        5.188083456615921,
        5.188103006988996,
        5.188122557362071,
        5.188142584573513,
        5.188162134946588,
        5.188181685319663,
        5.188201712531106,
        5.1882212629041815,
        5.188240813277257,
        5.1882608404887,
        5.188280390861775,
        5.18829994123485,
        5.188319968446293,
        5.188339518819368,
        5.188359069192443,
        5.188378619565518,
        5.18839864677696,
        5.188418197150035,
        5.1884377475231105,
        5.1884577747345535,
        5.188477325107629,
        5.188496875480704,
        5.188516425853779,
        5.188536453065222,
        5.188556003438297,
        5.188575553811372,
        5.188595104184447,
        5.18861513139589,
        5.188634681768965,
        5.18865423214204,
        5.1886737825151155,
        5.188693809726558,
        5.188713360099633,
        5.188732910472708,
        5.188752460845783,
        5.188772011218858,
        5.188792038430301,
        5.188811588803376,
        5.188831139176451,
        5.188850689549526,
        5.188870239922601,
        5.188890267134044,
        5.1889098175071195,
        5.188929367880195,
        5.18894891825327,
        5.188968468626345,
        5.188988495837787,
        5.189008046210862,
        5.189027596583937,
        5.189047146957012,
        5.189066697330087,
        5.1890862477031625,
        5.1891062749146055,
        5.189125825287681,
        5.189145375660756,
        5.189164926033831,
        5.189184476406906,
        5.189204026779981,
        5.189223577153056,
        5.189243604364499,
        5.189263154737574,
        5.189282705110649,
        5.1893022554837245,
        5.1893218058568,
        5.189341356229875,
        5.18936090660295,
        5.189380456976025,
        5.189400484187468,
        5.189420034560543,
        5.189439584933618,
        5.189459135306693,
        5.189478685679768,
        5.189498236052843,
        5.1895177864259185,
        5.189537336798994,
        5.189556887172069,
        5.189576437545144,
        5.189595987918219,
        5.189615538291294,
        5.189635088664369,
        5.189655115875811,
        5.189674666248886,
        5.1896942166219615,
        5.189713766995037,
        5.189733317368112,
        5.189752867741187,
        5.189772418114262,
        5.189791968487337,
        5.189811518860412,
        5.189831069233487,
        5.189850619606562,
        5.1898701699796375,
        5.204412309678938,
        5.219933875385464,
        5.219955809950378,
        5.219977267676923,
        5.219999202241837,
        5.220690141036613,
        5.220712075601527,
        5.220754991054618,
        5.220884214252261,
        5.220906148817175,
        5.221013914288271,
        5.221056829741363,
        5.221508872513929,
        5.22155178796702,
        5.221573245693566,
        5.221594703420112,
        5.221616637985026,
        5.221638095711572,
        5.221659553438117,
        5.221681011164663,
        5.221702468891209,
        5.221723926617755,
        5.221745384344301,
        5.2217668420708465,
        5.221788299797392,
        5.221809757523938,
        5.221831215250484,
        5.22185267297703,
        5.221874130703576,
        5.2218955884301215,
        5.221917046156667,
        5.221938980721581,
        5.221960438448127,
        5.221981896174673,
        5.2220033539012185,
        5.222024811627764,
        5.22204626935431,
        5.222067727080856,
        5.222089184807402,
        5.222110642533948,
        5.2221321002604935,
        5.222153557987039,
        5.222175015713585,
        5.222196473440131,
        5.222217931166677,
        5.222239388893223,
        5.222260846619768,
        5.222282304346314,
        5.22230376207286,
        5.222325219799406,
        5.222346677525952,
        5.2223681352524975,
        5.222389592979043,
        5.222410573867222,
        5.222432031593768,
        5.222453489320314,
        5.22247494704686,
        5.2224964047734055,
        5.222517862499951,
        5.222539320226497,
        5.222560777953043,
        5.222582235679589,
        5.222603693406135,
        5.22262515113268,
        5.222646608859226,
        5.222668066585772,
        5.222689524312318,
        5.222710982038864,
        5.222731962927042,
        5.2227534206535875,
        5.222796336106679,
        5.222860709286317,
        5.223330871916854,
        5.2233523296434,
        5.2233952450964924,
        5.223416702823038,
        5.223437683711216,
        5.223459141437762,
        5.223480599164308,
        5.223502056890854,
        5.223523037779032,
        5.223544495505577,
        5.223565953232123,
        5.223587410958669,
        5.223608391846847,
        5.223629849573393,
        5.223651307299939,
        5.2236727650264845,
        5.223693745914663,
        5.223715203641209,
        5.223736661367755,
        5.223758119094301,
        5.223779099982479,
        5.2238005577090245,
        5.22382201543557,
        5.223843473162116,
        5.223864454050294,
        5.22388591177684,
        5.223907369503386,
        5.223928350391565,
        5.22394980811811,
        5.223971265844656,
        5.223992723571202,
        5.22401370445938,
        5.224035162185926,
        5.224056619912472,
        5.2240776008006495,
        5.224099058527195,
        5.224120516253741,
        5.22414149714192,
        5.224162954868466,
        5.224184412595012,
        5.22420539348319,
        5.224226851209735,
        5.224248308936281,
        5.224269289824459,
        5.224290747551005,
        5.224311728439183,
        5.224333186165729,
        5.2243546438922746,
        5.224375624780453,
        5.224397082506999,
        5.225013634516416,
        5.225098511745864,
        5.225119492634042,
        5.225140950360588,
        5.225161931248766,
        5.225183388975312,
        5.225204369863491,
        5.2252258275900365,
        5.225246808478214,
        5.225267789366392,
        5.225289247092938,
        5.225310227981116,
        5.225331685707662,
        5.225352666595841,
        5.225374124322387,
        5.2253951052105645,
        5.22541656293711,
        5.225437543825288,
        5.225459001551834,
        5.225479982440012,
        5.225500963328191,
        5.225522421054737,
        5.225543401942915,
        5.22556485966946,
        5.225585840557638,
        5.225607298284184,
        5.225628279172363,
        5.225649260060541,
        5.225670717787087,
        5.225691698675265,
        5.2257131564018104,
        5.225734137289988,
        5.225755118178167,
        5.225776575904713,
        5.225797556792891,
        5.225819014519437,
        5.225839995407615,
        5.225860976295793,
        5.225882434022338,
        5.225903414910517,
        5.225924395798695,
        5.225945853525241,
        5.225966834413419,
        5.225988292139965,
        5.2260092730281436,
        5.2260302539163215,
        5.226051711642867,
        5.226072692531045,
        5.226093673419223,
        5.226115131145769,
        5.226136112033948,
        5.226157092922126,
        5.2261785506486715,
        5.2261995315368495,
        5.226220512425027,
        5.226241493313206,
        5.226262951039752,
        5.22628393192793,
        5.226304912816108,
        5.226326370542654,
        5.226347351430832,
        5.22636833231901,
        5.226389790045556,
        5.226410770933734,
        5.226431751821912,
        5.226452732710091,
        5.226474190436637,
        5.226495171324815,
        5.226516152212993,
        5.2265371331011705,
        5.226558590827716,
        5.226579571715895,
        5.226600552604073,
        5.226621533492251,
        5.226642991218797,
        5.226663972106975,
        5.226684952995154,
        5.2267059338833315,
        5.226727391609877,
        5.226748372498055,
        5.226769353386233,
        5.226790334274412,
        5.22681131516259,
        5.226832772889136,
        5.226853753777314,
        5.2268747346654925,
        5.22689571555367,
        5.226916696441848,
        5.226938154168394,
        5.226959135056572,
        5.226980115944751,
        5.227001096832929,
        5.227022077721107,
        5.2270435354476525,
        5.2270645163358305,
        5.227085497224009,
        5.227106478112187,
        5.227127459000365,
        5.227148439888543,
        5.227169420776722,
        5.227190878503268,
        5.227211859391446,
        5.2272328402796235,
        5.227253821167802,
        5.22727480205598,
        5.227295782944158,
        5.227316763832336,
        5.227338221558882,
        5.227359202447061,
        5.227380183335239,
        5.227401164223417,
        5.2274221451115945,
        5.227443125999773,
        5.227464106887951,
        5.227485087776129,
        5.227506068664307,
        5.227527049552486,
        5.227548507279032,
        5.22756948816721,
        5.227590469055388,
        5.2276114499435655,
        5.227632430831744,
        5.227653411719922,
        5.2276743926081,
        5.227695373496279,
        5.227716354384457,
        5.227737335272635,
        5.227758316160813,
        5.227779297048992,
        5.2278002779371695,
        5.227821258825347,
        5.227842239713525,
        5.227863220601704,
        5.227884201489882,
        5.22790518237806,
        5.227926163266238,
        5.227947144154417,
        5.227968125042595,
        5.227989105930773,
        5.228010563657318,
        5.228031544545496,
        5.228052525433675,
        5.228073029483485,
        5.228094010371663,
        5.228114991259842,
        5.22813597214802,
        5.228156953036198,
        5.228177933924377,
        5.2281989148125545,
        5.228219895700732,
        5.22824087658891,
        5.228261857477089,
        5.228282838365267,
        5.228303819253445,
        5.228324800141623,
        5.228345781029802,
        5.22836676191798,
        5.228952796271865,
        5.228973777160043,
        5.228994758048221,
        5.229015262098032,
        5.22903624298621,
        5.229078204762566,
        5.229099185650744,
        5.229120166538922,
        5.229140670588733,
        5.229161651476911,
        5.229182632365089,
        5.229203613253268,
        5.229224594141446,
        5.229245098191256,
        5.2292660790794345,
        5.2292870599676124,
        5.22930804085579,
        5.229328544905601,
        5.229349525793779,
        5.229370506681957,
        5.229391487570135,
        5.229412468458314,
        5.229432972508124,
        5.229453953396302,
        5.229474934284481,
        5.2294959151726585,
        5.229516419222469,
        5.229537400110647,
        5.229558380998825,
        5.229578885048635,
        5.229599865936814,
        5.229620846824992,
        5.22964182771317,
        5.229662331762981,
        5.229683312651159,
        5.229704293539337,
        5.229724797589148,
        5.229745778477326,
        5.2297667593655035,
        5.229787740253682,
        5.229808244303492,
        5.22982922519167,
        5.229850206079849,
        5.229870710129659,
        5.229891691017837,
        5.229912671906016,
        5.229933175955826,
        5.229954156844004,
        5.229975137732183,
        5.229995641781993,
        5.2300166226701705,
        5.230037603558349,
        5.230058107608159,
        5.230079088496337,
        5.230100069384516,
        5.230120573434326,
        5.230141554322504,
        5.230162058372315,
        5.230183039260493,
        5.230204020148671,
        5.230224524198482,
        5.23024550508666,
        5.230266485974838,
        5.230328474962637,
        5.230349455850815,
        5.230681812193092,
        5.230723297131081,
        5.230785762957248,
        5.230806267007058,
        5.230827247895236,
        5.230889236883035,
        5.230910217771213,
        5.230930721821023,
        5.230951702709202,
        5.231034672585179,
        5.23105517663499,
        5.231076157523168,
        5.231096661572979,
        5.231117165622789,
        5.2311381465109665,
        5.231179631448955,
        5.231200135498766,
        5.231221116386944,
        5.231241620436754,
        5.231262601324933,
        5.231283105374743,
        5.231324590312732,
        5.23142806423852,
        5.23144856828833,
        5.231469549176508,
        5.231511034114496,
        5.231573023102296,
        5.231635012090095,
        5.231655516139906,
        5.231820979053492
    ],
    "flux": [
        1.45334,
        1.37904,
        1.41634,
        1.55428,
        1.60539,
        1.4048,
        1.18414,
        1.1873,
        1.23541,
        1.26309,
        1.36156,
        1.35577,
        1.41242,
        1.42276,
        1.38136,
        1.42577,
        1.45666,
        1.26383,
        1.26931,
        1.44619,
        1.33859,
        1.29752,
        1.53815,
        1.33876,
        2.00895,
        1.43729,
        1.53373,
        1.66891,
        1.83295,
        1.7839,
        1.43715,
        1.45367,
        1.17373,
        1.23529,
        1.27867,
        1.35918,
        1.43311,
        1.71154,
        1.69873,
        1.59018,
        1.52895,
        1.683,
        1.51556,
        1.39019,
        1.48793,
        1.68099,
        1.54919,
        1.40265,
        1.58368,
        1.4707,
        1.31303,
        1.45623,
        1.37293,
        1.44846,
        1.53302,
        1.49096,
        1.20253,
        1.24668,
        1.35725,
        1.30136,
        1.48394,
        1.43774,
        1.29199,
        1.37701,
        1.39018,
        1.71566,
        1.67618,
        1.60708,
        1.91973,
        1.67486,
        1.71574,
        1.42705,
        1.50933,
        1.47811,
        1.52408,
        1.47002,
        1.33614,
        1.84076,
        1.74956,
        1.22656,
        1.47799,
        1.36923,
        1.44122,
        1.57474,
        1.40332,
        1.4571,
        1.54679,
        1.34804,
        1.30521,
        1.40783,
        1.52082,
        1.42448,
        1.52715,
        1.52828,
        1.39931,
        1.50963,
        1.64906,
        1.59079,
        1.50499,
        1.43696,
        1.25109,
        1.16103,
        1.10346,
        1.35897,
        1.34797,
        1.36158,
        1.54841,
        1.36709,
        1.23805,
        1.38252,
        1.47649,
        1.62445,
        1.41016,
        1.45083,
        1.58826,
        1.08315,
        1.09072,
        1.24427,
        1.18955,
        1.44877,
        1.36568,
        1.37991,
        1.43295,
        1.22696,
        1.29328,
        1.45612,
        1.50033,
        1.39034,
        1.42196,
        1.46447,
        1.39607,
        1.29103,
        1.34396,
        1.4306,
        1.56753,
        1.45467,
        1.45338,
        1.38668,
        1.49075,
        1.52102,
        1.50455,
        1.46323,
        1.36061,
        1.32694,
        1.34324,
        1.33638,
        1.20681,
        1.35771,
        1.49452,
        1.41912,
        1.39321,
        1.34375,
        1.42574,
        1.2861,
        1.39203,
        1.58385,
        1.55169,
        1.47927,
        1.61073,
        1.57328,
        1.40302,
        1.4694,
        1.40251,
        1.60841,
        1.30419,
        2.47783,
        1.57083,
        1.4689,
        1.11265,
        1.3775,
        1.4723,
        1.33948,
        1.02011,
        1.34782,
        1.38062,
        1.4212,
        1.43401,
        1.4378,
        1.39498,
        1.54901,
        1.39499,
        1.45486,
        1.38854,
        1.24358,
        1.42236,
        1.5898,
        1.58747,
        1.38306,
        1.30571,
        1.57639,
        1.36031,
        1.31709,
        1.33732,
        1.41992,
        1.46866,
        1.39531,
        1.31916,
        1.18249,
        1.27131,
        1.44536,
        1.48098,
        1.48379,
        1.53918,
        1.51732,
        1.37864,
        1.45946,
        1.44508,
        1.41346,
        1.43988,
        1.27131,
        1.39874,
        1.55371,
        1.406,
        1.34478,
        1.33676,
        1.32818,
        1.45738,
        1.52361,
        1.40489,
        1.41502,
        1.19682,
        1.22248,
        1.5678,
        1.61885,
        1.54516,
        1.31004,
        1.53718,
        1.44605,
        1.50915,
        1.3001,
        1.27785,
        1.45678,
        1.58102,
        1.59475,
        1.47044,
        1.47086,
        1.34907,
        1.28776,
        1.45817,
        1.5314,
        1.49361,
        1.41003,
        1.52483,
        1.51659,
        1.5318,
        1.50412,
        1.54102,
        1.44762,
        1.51872,
        1.45129,
        1.56694,
        1.58769,
        1.50573,
        1.41717,
        1.32776,
        1.38971,
        1.5297,
        1.50498,
        1.37298,
        1.28749,
        1.50127,
        1.64597,
        1.49294,
        1.4805,
        1.45735,
        1.25131,
        1.19109,
        1.07313,
        1.38832,
        1.54193,
        1.56526,
        1.32571,
        1.20272,
        1.32883,
        1.24471,
        1.31574,
        1.21421,
        1.17548,
        1.42987,
        1.63111,
        1.86217,
        1.59765,
        1.67259,
        1.49322,
        1.36677,
        1.39124,
        1.33925,
        1.38317,
        1.48364,
        1.32412,
        1.32679,
        1.49518,
        1.40319,
        1.23035,
        1.55411,
        1.46064,
        1.37081,
        1.499,
        1.38831,
        1.30882,
        1.25063,
        1.40933,
        1.39642,
        1.43106,
        1.44882,
        1.44004,
        1.37172,
        1.36387,
        1.57942,
        1.33901,
        1.3135,
        1.38728,
        1.43934,
        1.55628,
        1.53233,
        1.49027,
        1.42818,
        1.34075,
        1.47259,
        1.3908,
        1.38576,
        1.39902,
        1.35053,
        1.29634,
        1.39665,
        1.29584,
        1.29316,
        1.21389,
        1.21333,
        1.17885,
        1.34773,
        1.44991,
        1.46631,
        1.29295,
        1.41637,
        1.37947,
        1.44696,
        1.6136,
        1.76853,
        1.69319,
        1.38804,
        1.38529,
        1.40496,
        1.60303,
        1.51463,
        1.36718,
        1.43287,
        1.45418,
        1.39495,
        1.48799,
        1.4866,
        1.47438,
        1.3647,
        1.36786,
        1.30394,
        1.38404,
        1.39345,
        1.29347,
        1.41571,
        1.44042,
        1.36815,
        1.36034,
        1.37269,
        1.40141,
        1.33409,
        1.52364,
        1.39561,
        1.37235,
        1.38492,
        1.38214,
        1.34377,
        1.37515,
        1.45126,
        1.45299,
        1.49245,
        1.49718,
        1.48318,
        1.33107,
        1.38338,
        1.35495,
        1.40983,
        1.36649,
        1.39883,
        1.45555,
        1.44654,
        1.34428,
        1.17829,
        1.39792,
        1.6072,
        1.34381,
        1.4512,
        1.46388,
        1.12932,
        1.45787,
        1.71488,
        1.48425,
        1.48754,
        1.21378,
        1.41833,
        1.61799,
        1.38438,
        1.56503,
        1.54871,
        1.4913,
        1.34703,
        1.45651,
        1.35271,
        1.49915,
        1.45814,
        1.26063,
        1.45654,
        1.53885,
        1.78576,
        1.77203,
        1.67698,
        1.57632,
        1.35788,
        1.54521,
        1.41036,
        1.44113,
        1.46144,
        1.64668,
        1.5063,
        1.56775,
        1.66616,
        1.66985,
        1.62389,
        1.68966,
        1.47843,
        1.45095,
        1.43335,
        1.38352,
        1.64024,
        1.44109,
        1.58778,
        1.63356,
        1.5745,
        1.72082,
        1.83362,
        1.48622,
        1.36888,
        1.58866,
        1.62728,
        1.56016,
        1.30474,
        1.34073,
        1.37127,
        1.37916,
        1.5982,
        1.42583,
        1.30322,
        1.37233,
        1.46712,
        1.4403,
        1.51002,
        1.52078,
        1.33148,
        1.36735,
        1.68472,
        1.44967,
        1.45421,
        1.4408,
        1.44744,
        1.54156,
        1.68026,
        1.34043,
        1.36471,
        1.97958,
        1.78263,
        1.50912,
        1.92246,
        1.80758,
        1.57706,
        1.34949,
        1.41634,
        1.62938,
        1.51629,
        1.58064,
        1.44122,
        1.35371,
        1.31351,
        1.27714,
        1.40429,
        1.40881,
        1.4871,
        1.62966,
        1.46894,
        1.43397,
        1.16039,
        1.41054,
        1.38339,
        1.68577,
        1.62275,
        1.41972,
        1.74631,
        1.80709,
        1.73511,
        1.52247,
        1.31039,
        1.38177,
        1.49113,
        1.41473,
        1.22743,
        1.35911,
        1.46048,
        1.46371,
        1.47775,
        1.17983,
        1.31727,
        1.35671,
        1.32862,
        1.34698,
        1.2608,
        1.29534,
        1.27103,
        1.39283,
        1.32812,
        1.45937,
        1.35234,
        1.32976,
        1.46146,
        1.3296,
        1.42065,
        1.33471,
        1.38458,
        1.4093,
        1.24953,
        1.43608,
        1.67066,
        1.62549,
        1.49177,
        1.33868,
        1.05789,
        1.22942,
        1.51828,
        1.69478,
        1.43171,
        1.43436,
        1.26969,
        1.18937,
        1.24015,
        1.39421,
        1.28356,
        1.70986,
        1.6605,
        1.31962,
        1.28849,
        1.41072,
        1.24296,
        1.28119,
        1.19958,
        1.29821,
        1.27397,
        1.37086,
        1.31463,
        1.37568,
        1.37284,
        1.3724,
        1.29849,
        1.34872,
        1.27353,
        1.47107,
        1.44521,
        1.30452,
        1.29499,
        1.40078,
        1.37328,
        1.39482,
        1.3083,
        1.4268,
        1.28295,
        1.39281,
        1.30563,
        1.3017,
        1.33611,
        1.31628,
        1.4729,
        1.34277,
        1.27376,
        1.443,
        1.40947,
        1.2877,
        1.50532,
        1.50516,
        1.48736,
        1.43152,
        1.27267,
        1.37162,
        1.35104,
        1.49739,
        1.54414,
        1.12654,
        1.41529,
        1.36553,
        1.391,
        1.42734,
        1.53009,
        1.26885,
        1.34195,
        1.07971,
        1.30647,
        1.43624,
        1.22607,
        1.21576,
        1.35842,
        1.38867,
        1.29924,
        1.29684,
        1.19725,
        1.38418,
        1.41309,
        1.41611,
        1.30562,
        1.37388,
        1.38934,
        1.2917,
        1.40278,
        1.40767,
        1.33167,
        1.50972,
        1.4567,
        1.45794,
        1.34927,
        1.3587,
        1.32,
        1.43615,
        1.6147,
        1.47463,
        1.40076,
        1.1606,
        1.34903,
        1.70143,
        1.35551,
        1.35856,
        1.34968,
        1.42388,
        1.46278,
        1.39846,
        1.48574,
        1.37043,
        1.38263,
        1.43084,
        1.44895,
        1.52426,
        1.53945,
        1.3773,
        1.40006,
        1.40573,
        1.36269,
        1.28501,
        1.20808,
        1.40309,
        1.55513,
        1.50858,
        1.48933,
        1.36827,
        1.754,
        1.46235,
        1.31418,
        1.44303,
        1.61594,
        1.5993,
        1.36693,
        1.59141,
        1.50918,
        1.3796,
        1.44646,
        1.31918,
        1.42367,
        1.43243,
        1.52829,
        1.42704,
        1.38651,
        1.36605,
        1.37922,
        1.46221,
        1.35056,
        1.38077,
        1.3344,
        1.48467,
        1.44234,
        1.4166,
        1.44765,
        1.45745,
        1.37313,
        1.47421,
        1.41633,
        1.38617,
        1.35827,
        1.42852,
        1.42515,
        1.3016,
        1.37286,
        1.33947,
        1.34863,
        1.3796,
        1.44401,
        1.40479,
        1.44734,
        1.34004,
        1.32717,
        1.39254,
        1.39942,
        1.36386,
        1.35718,
        1.32056,
        1.32137,
        1.38972,
        1.4084,
        1.34564,
        1.3913,
        1.36867,
        1.39974,
        1.39035,
        1.4207,
        1.37822,
        1.37382,
        1.44407,
        1.43352,
        1.31267,
        1.23927,
        1.28043,
        1.23415,
        1.24762,
        1.16864,
        1.32143,
        1.37021,
        1.42243,
        1.28788,
        1.23608,
        1.15997,
        1.24468,
        1.60864,
        1.67825,
        1.67775,
        1.81654,
        1.29856,
        1.41043,
        1.40243,
        1.33505,
        1.35287,
        1.52977,
        1.37727,
        1.22439,
        1.28688,
        1.45733,
        1.43875,
        1.40192,
        1.50636,
        1.37764,
        1.28332,
        1.37533,
        1.41747,
        1.41794,
        1.34293,
        1.36385,
        1.32106,
        1.29723,
        1.39373,
        1.30331,
        1.42402,
        1.48085,
        1.38426,
        1.40219,
        1.30282,
        1.39377,
        1.26737,
        1.31899,
        1.42366,
        1.44573,
        1.3884,
        1.41936,
        1.45797,
        1.34682,
        1.38971,
        1.2399,
        1.29423,
        1.40692,
        1.46471,
        1.30748,
        1.37714,
        1.36944,
        1.37394,
        1.41884,
        1.35158,
        1.36383,
        1.34264,
        1.3077,
        1.26053,
        1.29951,
        1.42521,
        1.30906,
        1.37972,
        1.44454,
        1.32366,
        1.37084,
        1.28514,
        1.45027,
        1.42278,
        1.35328,
        1.28548,
        1.28392,
        1.53195,
        1.29982,
        1.60301,
        1.58279,
        1.30653,
        1.56107,
        1.36895,
        1.44282,
        1.62431,
        1.67807,
        1.46792,
        1.39147,
        1.35348,
        1.55329,
        1.56176,
        1.41608,
        1.47035,
        1.41478,
        1.38484,
        1.36927,
        1.52246,
        1.60682,
        1.47472,
        1.44741,
        1.38221,
        1.4348,
        1.4121,
        1.50135,
        1.37623,
        1.29388,
        1.50327,
        1.31447,
        1.43473,
        1.21879,
        1.4894,
        1.53156,
        1.3977,
        1.23089,
        1.40073,
        1.56873,
        1.6281,
        1.30982,
        1.58931,
        1.43779,
        1.16043,
        1.53619,
        1.32014,
        1.48792,
        1.59107,
        1.56094,
        1.37509,
        1.48451,
        1.43762,
        1.51843,
        1.47037,
        1.26635,
        1.32913,
        1.32906,
        1.42595,
        1.51369,
        1.34784,
        1.351,
        1.29741,
        1.23412,
        1.33074,
        1.49119,
        1.57391,
        1.50831,
        1.51971,
        1.57117,
        1.28867,
        1.44556,
        1.59501,
        1.74924,
        1.378,
        1.22865,
        1.85741,
        1.63291,
        1.98603,
        1.62839,
        1.5171,
        1.27055,
        1.25214,
        1.28651,
        1.34605,
        1.6057,
        1.60966,
        1.49304,
        1.46757,
        1.29033,
        1.52939,
        1.35939,
        1.35497,
        1.48051,
        1.33557,
        1.34616,
        1.32311,
        1.43287,
        1.41161,
        1.4442,
        1.40078,
        1.50037,
        1.38061,
        1.33718,
        1.46666,
        1.44363,
        1.50885,
        1.41575,
        1.37454,
        1.35579,
        1.39131,
        1.40069,
        1.44439,
        1.36393,
        1.37994,
        1.45181,
        1.46534,
        1.36197,
        1.36134,
        1.45454,
        1.35721,
        1.35107,
        1.39288,
        1.34746,
        1.34958,
        1.36391,
        1.42162,
        1.29735,
        1.44883,
        1.54327,
        1.47447,
        1.4233,
        1.32553,
        1.44169,
        1.43332,
        1.47334,
        1.44087,
        1.52094,
        1.23707,
        1.12447,
        1.80463,
        1.69548,
        1.32384,
        1.60606,
        1.59292,
        1.66497,
        1.31261,
        1.36206,
        1.26127,
        1.71229,
        1.68836,
        1.66075,
        1.35138,
        0.946867,
        1.21438,
        1.35006,
        1.21051,
        1.37487,
        1.43503,
        1.46859,
        1.25725,
        1.45566,
        1.44269,
        1.37356,
        1.28175,
        1.39416,
        1.56924,
        1.47152,
        1.36136,
        1.22847,
        1.28857,
        1.41325,
        1.34732,
        1.47113,
        1.35744,
        1.42159,
        1.3647,
        1.27274,
        1.20828,
        1.44554,
        1.37769,
        1.35439,
        1.40964,
        1.362,
        1.3506,
        1.37696,
        1.33174,
        1.46266,
        1.36319,
        1.43581,
        1.41591,
        1.43161,
        1.45027,
        1.38397,
        1.46917,
        1.25017,
        1.35274,
        1.23071,
        1.57762,
        1.40635,
        1.4989,
        1.23534,
        1.60707,
        1.36974,
        2.0476,
        1.18123,
        1.42063,
        1.19839,
        1.71899,
        1.37096,
        1.42003,
        1.38723,
        1.50444,
        1.3419,
        1.34854,
        1.18435,
        1.46285,
        1.17434,
        1.18312,
        1.44073,
        1.28501,
        1.09817,
        1.18569,
        1.45552,
        1.07759,
        1.73857,
        1.34816,
        1.66116,
        1.92316,
        1.36588,
        1.15098,
        1.35925,
        1.37951,
        1.32116,
        1.62603,
        1.68782,
        1.19527,
        1.22158,
        1.3455,
        1.4445,
        1.42912,
        1.27856,
        1.31189,
        1.63049,
        1.56866,
        1.56355,
        1.35312,
        1.45194,
        1.40196,
        1.6345,
        1.34066,
        1.44148,
        1.35436,
        1.42707,
        1.42288,
        1.42484,
        1.43807,
        1.44922,
        1.34534,
        1.28723,
        1.46541,
        1.49673,
        1.40373,
        1.25581,
        1.39221,
        1.61709,
        1.55053,
        1.4689,
        1.33527,
        1.21749,
        1.39478,
        1.90337,
        1.32682,
        1.66121,
        1.46171,
        1.33294,
        1.43568,
        1.60352,
        1.65331,
        1.30832,
        1.3981,
        1.28506,
        1.43991,
        1.37414,
        1.53111,
        1.37112,
        1.4993,
        1.5216,
        1.33435,
        1.48468,
        1.36704,
        1.37084,
        1.52003,
        1.39862,
        1.33301,
        1.30087,
        1.42767,
        1.30727,
        1.24065,
        1.12177,
        1.49688,
        1.30999,
        1.4744,
        1.21365,
        1.3975,
        1.37308,
        1.5376,
        1.42861,
        1.59095,
        1.26881,
        1.61841,
        1.35085,
        1.4163,
        1.4427,
        1.49635,
        1.60776,
        1.37494,
        1.46567,
        1.32742,
        1.74747,
        1.36391,
        1.64393,
        1.56131,
        1.44256,
        1.43227,
        1.5304,
        1.49039,
        1.52656,
        1.37353,
        1.33008,
        1.28814,
        1.24474,
        1.64297,
        1.54892,
        1.4006,
        1.2958,
        1.43999,
        1.68789,
        1.25863,
        1.80224,
        1.13788,
        1.38016,
        1.42022,
        1.21669,
        1.40527,
        1.65098,
        1.55218,
        1.30498,
        1.34191,
        1.42818,
        1.49435,
        1.56508,
        1.39629,
        1.30982,
        1.32557,
        1.38609,
        1.31529,
        1.27242,
        1.28823,
        1.29969,
        1.36818,
        1.40327,
        1.23285,
        1.23232,
        1.38681,
        1.39746,
        1.33501,
        1.39174,
        1.41433,
        1.33906,
        1.20194,
        1.30319,
        1.28298,
        1.32981,
        1.37231,
        1.42348,
        1.42214,
        1.32759,
        1.31497,
        1.53074,
        1.57118,
        1.19362,
        1.42774,
        1.07076,
        1.03989,
        1.18457,
        1.52732,
        null,
        1.18613,
        1.20708,
        1.37938,
        1.24412,
        1.43518,
        1.28136,
        1.11954,
        1.18962,
        1.29631,
        1.30602,
        1.34065,
        1.32761,
        1.26379,
        1.20127,
        1.16834,
        1.18723,
        1.30472,
        1.34009,
        1.30931,
        1.27407,
        1.29504,
        1.30776,
        1.33418,
        1.32983,
        1.30818,
        1.32717,
        1.30815,
        1.18617,
        1.21608,
        1.30695,
        1.32956,
        1.33601,
        1.38349,
        1.3361,
        1.30672,
        1.34951,
        1.37271,
        1.35031,
        1.38957,
        1.35643,
        1.29902,
        1.3496,
        1.31765,
        1.22995,
        1.26723,
        1.31924,
        1.33264,
        1.25559,
        1.25276,
        1.28512,
        1.24769,
        1.29999,
        1.25626,
        1.25403,
        1.33696,
        1.31989,
        1.32691,
        1.23636,
        1.2567,
        1.27256,
        1.37688,
        1.34065,
        1.34922,
        1.35599,
        1.27997,
        1.37971,
        1.43064,
        1.33782,
        1.26579,
        1.3295,
        1.4041,
        1.4608,
        1.39147,
        1.27084,
        1.33739,
        1.43228,
        1.29757,
        1.23026,
        1.29501,
        1.26981,
        1.19368,
        1.22357,
        1.24475,
        1.19265,
        1.2422,
        1.26553,
        1.25355,
        1.23993,
        1.21267,
        1.24802,
        1.29974,
        1.30894,
        1.24979,
        1.28798,
        1.35836,
        1.3122,
        1.2968,
        1.4141,
        1.36773,
        1.22959,
        1.29444,
        1.30338,
        1.33018,
        1.36193,
        1.32206,
        1.28215,
        1.31931,
        1.28655,
        1.30742,
        1.31522,
        1.33729,
        1.38143,
        1.33665,
        1.26105,
        1.32784,
        1.30231,
        1.27844,
        1.31937,
        1.29563,
        1.29874,
        1.34393,
        1.31847,
        1.2672,
        1.26665,
        1.26081,
        1.2732,
        1.26107,
        1.2236,
        1.22781,
        1.22215,
        1.23476,
        1.28381,
        1.29336,
        1.33564,
        1.28386,
        1.27991,
        1.23774,
        1.24905,
        1.15605,
        1.16692,
        1.22281,
        1.26385,
        1.12035,
        1.06998,
        1.14675,
        1.51137,
        1.67977,
        1.59087,
        1.46113,
        1.33723,
        1.47801,
        1.39619,
        1.27427,
        1.1886,
        1.19613,
        1.25215,
        1.26811,
        1.34691,
        1.2823,
        1.21453,
        1.22397,
        1.22264,
        1.23425,
        1.1866,
        1.26558,
        1.28795,
        1.19645,
        1.254,
        1.27881,
        1.2705,
        1.19263,
        1.19085,
        1.25004,
        1.27623,
        1.2015,
        1.23395,
        1.25858,
        1.25652,
        1.24437,
        1.20134,
        1.15313,
        1.19,
        1.16844,
        1.19664,
        1.18752,
        1.19535,
        1.23312,
        1.25858,
        1.28548,
        1.24607,
        1.21739,
        1.2521,
        1.21841,
        1.18681,
        1.21097,
        1.21142,
        1.19065,
        1.25757,
        1.287,
        1.28407,
        1.26995,
        1.21484,
        1.2138,
        1.25517,
        1.23699,
        1.25384,
        1.24076,
        1.19727,
        1.2316,
        1.23021,
        1.22705,
        1.24156,
        1.25397,
        1.28608,
        1.27724,
        1.28906,
        1.29549,
        1.21691,
        1.17963,
        1.2227,
        1.2336,
        1.28629,
        1.28232,
        1.23008,
        1.23369,
        1.26653,
        1.18036,
        1.17386,
        1.34113,
        1.20113,
        1.06519,
        1.10717,
        1.13757,
        1.22696,
        1.16972,
        1.30844,
        1.22643,
        1.20188,
        1.31507,
        1.26656,
        1.13782,
        1.20759,
        1.22909,
        1.20538,
        1.20804,
        1.26432,
        1.29186,
        1.30768,
        1.22585,
        1.29177,
        1.28374,
        1.26828,
        1.26958,
        1.27524,
        1.34669,
        1.37458,
        1.32521,
        1.30173,
        1.27491,
        1.23089,
        1.30999,
        1.25327,
        1.30859,
        1.33405,
        1.30197,
        1.28985,
        1.33806,
        1.2808,
        1.25617,
        1.32597,
        1.30151,
        1.28194,
        1.27062,
        1.26431,
        1.22724,
        1.25638,
        1.21793,
        1.23881,
        1.22435,
        1.22612,
        1.26017,
        1.25163,
        1.21774,
        1.27718,
        1.23277,
        1.19041,
        1.21229,
        1.22059,
        1.23162,
        1.25861,
        1.24992,
        1.21864,
        1.27079,
        1.26106,
        1.21766,
        1.25971,
        1.28064,
        1.24611,
        1.25159,
        1.2475,
        1.2625,
        1.26684,
        1.29072,
        1.22339,
        1.25776,
        1.3133,
        1.34647,
        1.28743,
        1.27199,
        1.18135,
        1.21623,
        1.36432,
        1.36752,
        1.36768,
        1.241,
        1.26835,
        1.20942,
        1.22206,
        1.11023,
        1.02893,
        1.07645,
        1.16156,
        1.33431,
        1.41934,
        1.24079,
        1.35467,
        1.18272,
        1.18984,
        1.24351,
        1.14132,
        1.13812,
        1.14222,
        1.22432,
        1.4245,
        1.32326,
        1.24712,
        1.22229,
        1.25303,
        1.3143,
        1.3582,
        1.21834,
        1.21357,
        1.24227,
        1.2197,
        1.14054,
        1.31674,
        1.3719,
        1.26758,
        1.32541,
        1.36355,
        1.3161,
        1.28269,
        1.30336,
        1.33924,
        1.2995,
        1.33163,
        1.31714,
        1.32335,
        1.42317,
        1.35514,
        1.33575,
        1.36608,
        1.30574,
        1.23786,
        1.26241,
        1.29586,
        1.31342,
        1.26916,
        1.26847,
        1.3027,
        1.28941,
        1.29443,
        1.27308,
        1.36517,
        1.32011,
        1.29476,
        1.36337,
        1.39628,
        1.33518,
        1.33772,
        1.30341,
        1.31904,
        1.3064,
        1.36941,
        1.3261,
        1.39093,
        1.2445,
        1.18549,
        1.21025,
        1.30252,
        1.35232,
        1.43578,
        1.34117,
        1.54382,
        1.42821,
        1.49232,
        1.26951,
        1.00192,
        0.872062,
        1.08859,
        1.20175,
        1.13296,
        1.15537,
        1.21214,
        1.18145,
        1.1297,
        1.20146,
        1.26055,
        1.3231,
        1.41424,
        1.23775,
        1.2497,
        1.28782,
        1.2961,
        1.25669,
        1.21767,
        1.22688,
        1.23215,
        1.26194,
        1.29716,
        1.3231,
        1.3335,
        1.2749,
        1.2343,
        1.27279,
        1.26656,
        1.29018,
        1.3028,
        1.27108,
        1.26665,
        1.23627,
        1.23133,
        1.26131,
        1.27369,
        1.28618,
        1.2791,
        1.18556,
        1.2773,
        1.24116,
        1.23801,
        1.21796,
        1.23867,
        1.25409,
        1.25918,
        1.22334,
        1.20649,
        1.26263,
        1.25533,
        1.25609,
        1.23532,
        1.28671,
        1.2811,
        1.30536,
        1.27787,
        1.2962,
        1.2434,
        1.24972,
        1.21183,
        1.20167,
        1.21368,
        1.24311,
        1.27152,
        1.26222,
        1.2211,
        1.15103,
        1.22471,
        1.22466,
        1.14205,
        1.19644,
        1.2548,
        1.20137,
        1.15338,
        1.11883,
        1.18083,
        1.19945,
        1.23639,
        1.31629,
        1.10504,
        1.23482,
        1.2037,
        1.22406,
        1.17951,
        1.25776,
        1.3442,
        1.2972,
        1.2303,
        1.20896,
        1.20595,
        1.24144,
        1.28245,
        1.25266,
        1.27354,
        1.25104,
        1.26551,
        1.22972,
        1.21025,
        1.1779,
        1.28134,
        1.25204,
        1.28148,
        1.27143,
        1.23006,
        1.03067,
        1.29882,
        1.20619,
        1.26851,
        1.30439,
        1.34199,
        1.26172,
        1.31076,
        1.33656,
        1.21256,
        1.21063,
        1.23284,
        1.20869,
        1.22817,
        1.19183,
        1.14066,
        1.23353,
        1.22128,
        1.30823,
        1.3003,
        1.26901,
        1.22406,
        1.24367,
        1.22186,
        1.24505,
        1.28623,
        1.23105,
        1.19569,
        1.21561,
        1.21683,
        1.15377,
        1.20415,
        1.20266,
        1.18842,
        1.15219,
        1.27672,
        1.20192,
        1.19889,
        1.19862,
        1.22068,
        1.21452,
        1.26155,
        1.25443,
        1.21613,
        1.26512,
        1.2295,
        1.23189,
        1.21785,
        1.22639,
        1.2985,
        1.27292,
        1.25337,
        1.25605,
        1.22824,
        1.25666,
        1.23886,
        1.22434,
        1.32996,
        1.28063,
        1.37494,
        1.35965,
        1.28543,
        1.22595,
        1.21618,
        1.31643,
        1.42281,
        1.13076,
        1.5242,
        1.27562,
        1.2765,
        1.39467,
        1.50327,
        1.50998,
        1.48401,
        1.28717,
        1.14959,
        1.25429,
        1.28774,
        1.25976,
        1.34034,
        1.31562,
        1.25814,
        1.27915,
        1.28478,
        1.36618,
        1.26809,
        1.28349,
        1.3144,
        1.33057,
        1.32624,
        1.35479,
        1.30056,
        1.35163,
        1.32181,
        1.33287,
        1.34356,
        1.40564,
        1.37347,
        1.33835,
        1.35864,
        1.30135,
        1.28986,
        1.24662,
        1.30733,
        1.39098,
        1.39658,
        1.22971,
        1.03973,
        1.18536,
        1.56313,
        1.53478,
        1.51436,
        1.42007,
        1.43849,
        1.40592,
        1.42153,
        1.29152,
        1.3595,
        1.18424,
        1.13775,
        1.18044,
        1.48956,
        1.36738,
        1.21807,
        1.27127,
        1.20015,
        1.19704,
        1.2181,
        1.19914,
        1.26269,
        1.22858,
        1.22997,
        1.34025,
        1.35426,
        1.24814,
        1.15829,
        1.19954,
        1.22592,
        1.21278,
        1.30955,
        1.11146,
        1.1962,
        1.33959,
        1.37025,
        1.398,
        1.73343,
        1.56865,
        1.35804,
        1.34924,
        1.31129,
        1.54388,
        1.47338,
        1.66491,
        1.36934,
        1.25209,
        1.34648,
        1.34028,
        1.70335,
        1.42652,
        1.24249,
        1.52582,
        1.42399,
        1.34,
        1.27298,
        1.23494,
        1.30543,
        1.19342,
        1.27788,
        1.30225,
        1.32343,
        1.33043,
        1.26261,
        1.29702,
        1.36354,
        1.32406,
        1.26489,
        1.31674,
        1.32094,
        1.36288,
        1.27065,
        1.30111,
        1.33149,
        1.34505,
        1.28868,
        1.28346,
        1.32261,
        1.36855,
        1.30388,
        1.25129,
        1.29859,
        1.30148,
        1.31874,
        1.33673,
        1.31165,
        1.30297,
        1.34597,
        1.4404,
        1.3806,
        1.31482,
        1.44752,
        1.38285,
        1.37827,
        1.3542,
        1.39955,
        1.18146,
        1.09626,
        1.31414,
        1.37582,
        1.28801,
        1.24569,
        1.14715,
        1.20235,
        1.23227,
        1.30299,
        1.28364,
        1.29502,
        1.32194,
        1.29966,
        1.25525,
        1.29637,
        1.31104,
        1.29745,
        1.27139,
        1.28146,
        1.27155,
        1.25606,
        1.26702,
        1.30453,
        1.29113,
        1.25359,
        1.20648,
        1.21037,
        1.28314,
        1.2738,
        1.23872,
        1.24623,
        1.24718,
        1.33862,
        1.31749,
        1.29658,
        1.25396,
        1.16512,
        1.25602,
        1.27459,
        1.16691,
        1.17152,
        1.21956,
        1.2268,
        1.23369,
        1.25744,
        1.30056,
        1.21373,
        1.22245,
        1.13849,
        1.24383,
        1.41001,
        1.51363,
        1.69144,
        1.28034,
        1.18638,
        1.30943,
        1.43216,
        1.30728,
        1.17687,
        1.24947,
        1.27523,
        1.22999,
        1.25585,
        1.27264,
        1.24086,
        1.27689,
        1.2613,
        1.26298,
        1.283,
        1.206,
        1.24956,
        1.2093,
        1.26799,
        1.26422,
        1.2266,
        1.10605,
        1.20286,
        1.26651,
        1.29051,
        1.29761,
        1.15505,
        1.28411,
        1.27321,
        1.23558,
        1.15857,
        1.13423,
        1.12351,
        1.15777,
        1.28542,
        1.27649,
        1.28941,
        1.26612,
        1.22268,
        1.27328,
        1.30848,
        1.21825,
        1.2475,
        1.26921,
        1.26458,
        1.27502,
        1.25878,
        1.29175,
        1.30481,
        1.274,
        1.28489,
        1.27164,
        1.25041,
        1.23786,
        1.3152,
        1.29407,
        1.20756,
        1.14789,
        1.24242,
        1.31745,
        1.44517,
        1.46659,
        1.36968,
        1.26185,
        1.10815,
        1.19037,
        1.28579,
        1.09524,
        1.3426,
        1.3542,
        1.33794,
        1.34994,
        1.28428,
        1.27471,
        1.23423,
        1.3313,
        1.32802,
        1.31818,
        1.35075,
        1.29018,
        1.17737,
        1.21909,
        1.27531,
        1.30764,
        1.35119,
        1.26734,
        1.24519,
        1.23648,
        1.2163,
        1.29044,
        1.31756,
        1.26759,
        1.3057,
        1.2653,
        1.31946,
        1.28043,
        1.2744,
        1.22808,
        1.1822,
        1.38773,
        1.33689,
        1.17373,
        1.23294,
        1.36641,
        1.29083,
        1.36609,
        1.25211,
        1.31594,
        1.53577,
        1.28617,
        1.26026,
        1.30212,
        1.22187,
        1.31513,
        1.23566,
        1.28552,
        1.24848,
        1.29599,
        1.29705,
        1.26011,
        1.23165,
        1.22292,
        1.22463,
        1.27711,
        1.30308,
        1.22612,
        1.23082,
        1.26359,
        1.21957,
        1.23127,
        1.20454,
        1.20573,
        1.21223,
        1.20503,
        1.21973,
        1.21126,
        1.22815,
        1.21681,
        1.18367,
        1.23595,
        1.18069,
        1.16019,
        1.21844,
        1.15548,
        1.16447,
        1.22063,
        1.12308,
        1.14786,
        1.14333,
        1.17145,
        1.18285,
        1.21373,
        1.26453,
        1.22569,
        1.27004,
        1.22233,
        1.21934,
        1.22509,
        1.17703,
        1.24951,
        1.26067,
        1.257,
        1.23191,
        1.21926,
        1.2479,
        1.28283,
        1.31803,
        1.287,
        1.27707,
        1.27304,
        1.29428,
        1.31034,
        1.26209,
        1.23722,
        1.29407,
        1.3653,
        1.1737,
        1.34746,
        1.55259,
        1.06847,
        1.21467,
        1.3401,
        1.32821,
        1.20189,
        1.25528,
        1.22669,
        1.2132,
        1.27037,
        1.24747,
        1.21742,
        1.32578,
        1.3539,
        1.35313,
        1.31725,
        1.31484,
        1.30488,
        1.39885,
        1.39,
        1.27225,
        1.28678,
        1.31545,
        1.24312,
        1.30148,
        1.3867,
        1.28531,
        1.39109,
        1.33535,
        1.13991,
        1.20844,
        1.24527,
        1.36942,
        1.269,
        1.17086,
        1.15107,
        1.19296,
        1.35963,
        1.52944,
        1.25584,
        1.22106,
        1.34184,
        1.30442,
        1.13661,
        1.20155,
        1.29009,
        1.33237,
        1.23861,
        1.19822,
        1.29013,
        1.27274,
        1.28338,
        1.25358,
        1.32441,
        1.33787,
        1.32758,
        1.47414,
        1.68533,
        1.17828,
        1.38929,
        1.36577,
        1.29002,
        1.33716,
        1.38495,
        1.34981,
        1.32023,
        1.30677,
        1.38055,
        1.36825,
        1.32814,
        1.38779,
        1.33899,
        1.27583,
        1.38624,
        1.42068,
        1.38984,
        1.2953,
        1.32075,
        1.3319,
        1.34956,
        1.33827,
        1.29718,
        1.33917,
        1.35354,
        1.30197,
        1.34499,
        1.32907,
        1.33128,
        1.31166,
        1.35972,
        1.3868,
        1.37331,
        1.4051,
        1.31568,
        1.35123,
        1.40152,
        1.35946,
        1.30871,
        1.28628,
        1.30853,
        1.35176,
        1.37211,
        1.38523,
        1.38915,
        1.34773,
        1.33904,
        1.32767,
        1.35819,
        1.37044,
        1.1933,
        1.23649,
        1.21285,
        1.41554,
        1.31111,
        1.22278,
        1.40249,
        1.32586,
        1.23132,
        1.24786,
        1.28508,
        1.21135,
        1.19861,
        1.362,
        1.37246,
        1.32912,
        1.28003,
        1.24488,
        1.13173,
        1.23926,
        1.28381,
        1.21271,
        1.18605,
        1.1482,
        1.16645,
        1.14698,
        1.22806,
        1.35995,
        1.2446,
        1.1728,
        1.42085,
        1.26272,
        1.28467,
        1.27581,
        1.17062,
        1.28182,
        1.29034,
        1.27053,
        1.23317,
        1.21853,
        1.20672,
        1.22777,
        1.22252,
        1.19343,
        1.25217,
        1.26369,
        1.29421,
        1.2586,
        1.245,
        1.34233,
        1.29963,
        1.27784,
        1.26599,
        1.2308,
        1.21938,
        1.28887,
        1.27807,
        1.20792,
        1.25243,
        1.27143,
        1.26795,
        1.23535,
        1.2105,
        1.27725,
        1.25424,
        1.24253,
        1.30099,
        1.30989,
        1.22268,
        1.26856,
        1.27472,
        1.26208,
        1.28275,
        1.27593,
        1.25478,
        1.25245,
        1.26635,
        1.33045,
        1.35179,
        1.23062,
        1.23017,
        1.29771,
        1.33719,
        1.30206,
        1.29303,
        1.29145,
        1.27607,
        1.27496,
        1.27108,
        1.30214,
        1.26449,
        1.28014,
        1.28424,
        1.27281,
        1.26393,
        1.32068,
        1.29472,
        1.22982,
        1.24691,
        1.26065,
        1.23554,
        1.29139,
        1.25986,
        1.26246,
        1.2844,
        1.32364,
        1.31065,
        1.24171,
        1.30285,
        1.27313,
        1.24973,
        1.25692,
        1.2691,
        1.27485,
        1.18078,
        1.21723,
        1.24034,
        1.29389,
        1.20539,
        1.26413,
        1.21352,
        1.0885,
        1.0329,
        1.08947,
        1.37854,
        1.14536,
        1.60398,
        1.08891,
        1.19182,
        1.15871,
        1.2117,
        1.12413,
        1.25512,
        1.24015,
        1.14035,
        0.95123,
        1.24666,
        1.11545,
        1.18456,
        1.23431,
        2.03155,
        1.35684,
        1.20506,
        1.0884,
        1.10433,
        1.23908,
        1.0824,
        1.16594,
        1.27292,
        1.16708,
        1.20515,
        1.24041,
        1.16518,
        1.21232,
        1.18427,
        1.13243,
        1.1829,
        1.23492,
        1.08029,
        1.16049,
        1.19118,
        1.17886,
        1.22096,
        1.23507,
        1.25118,
        1.24173,
        1.22368,
        1.14878,
        1.2141,
        1.20194,
        1.25865,
        1.26219,
        1.27277,
        1.24864,
        1.25677,
        1.23589,
        1.1641,
        1.23388,
        1.21136,
        1.25555,
        1.19697,
        1.23429,
        1.24571,
        1.15972,
        1.25914,
        1.22282,
        1.26509,
        1.31928,
        1.24206,
        1.23656,
        1.23472,
        1.21017,
        1.25386,
        1.25477,
        1.22143,
        1.18704,
        1.19847,
        1.20878,
        1.20054,
        1.1943,
        1.2881,
        1.23099,
        1.25184,
        1.2424,
        1.26062,
        1.20266,
        1.20128,
        1.18373,
        1.17045,
        1.1273,
        1.2326,
        1.23142,
        1.27812,
        1.24163,
        1.25355,
        1.28465,
        1.16097,
        1.20134,
        1.21304,
        1.21153,
        1.19314,
        1.21974,
        1.18911,
        1.22673,
        1.29075,
        1.25779,
        1.23671,
        1.25141,
        1.22229,
        1.21492,
        1.21284,
        1.2553,
        1.26552,
        1.26546,
        1.25834,
        1.29486,
        1.26401,
        1.29414,
        1.38375,
        1.27944,
        1.33235,
        1.34538,
        1.35233,
        1.10358,
        1.77438,
        1.58107,
        1.40516,
        1.18578,
        1.2562,
        1.17822,
        1.41022,
        1.4719,
        1.47687,
        1.31973,
        1.33741,
        1.26787,
        1.27618,
        1.26168,
        1.24046,
        1.16558,
        1.22754,
        1.27228,
        1.2859,
        1.35139,
        1.25114,
        1.31305,
        1.28653,
        1.25687,
        1.25861,
        1.27752,
        1.33744,
        1.27336,
        1.24017,
        1.28789,
        1.2328,
        1.20485,
        1.28268,
        1.20369,
        1.27251,
        1.19966,
        1.2522,
        1.29789,
        1.33517,
        1.32459,
        1.28213,
        1.26165,
        1.2597,
        1.33062,
        1.24961,
        1.24687,
        1.22562,
        1.26264,
        1.27748,
        1.31868,
        1.26438,
        1.23437,
        1.27716,
        1.32495,
        1.29487,
        1.35828,
        1.35769,
        1.31967,
        1.28474,
        1.29211,
        1.28018,
        1.35366,
        1.23706,
        1.22955,
        1.4465,
        1.35446,
        1.49761,
        1.18701,
        1.3652,
        1.2475,
        1.21757,
        1.19837,
        1.36879,
        1.26878,
        1.27304,
        1.30442,
        1.32003,
        1.36487,
        1.35157,
        1.35481,
        1.36469,
        1.37921,
        1.36252,
        1.33643,
        1.3544,
        1.31836,
        1.27247,
        1.35762,
        1.33649,
        1.25964,
        1.28127,
        1.31155,
        1.22617,
        1.32884,
        1.28435,
        1.37808,
        1.30131,
        1.31126,
        1.34195,
        1.37191,
        1.33367,
        1.32683,
        1.30796,
        1.35282,
        1.31993,
        1.28994,
        1.29601,
        1.40475,
        1.36338,
        1.34516,
        1.23264,
        1.35155,
        1.24726,
        1.13973,
        1.46912,
        1.36035,
        1.81307,
        1.26448,
        1.29375,
        1.31463,
        1.12407,
        1.30723,
        1.23177,
        1.28461,
        1.24616,
        1.31579,
        1.26252,
        1.34057,
        1.20626,
        1.25614,
        1.25404,
        1.26347,
        1.25646,
        1.2361,
        1.26354,
        1.28159,
        1.21693,
        1.18321,
        1.26282,
        1.24748,
        1.26668,
        1.25952,
        1.2566,
        1.23815,
        1.22683,
        1.27689,
        1.25526,
        1.23702,
        1.24476,
        1.21667,
        1.23226,
        1.18212,
        1.17237,
        1.23755,
        1.24428,
        1.24522,
        1.23994,
        1.15799,
        1.22008,
        1.25536,
        1.23675,
        1.27718,
        1.26606,
        1.22985,
        1.18332,
        1.2004,
        1.20132,
        1.22183,
        1.21947,
        1.27587,
        1.28581,
        1.27221,
        1.24769,
        1.22407,
        1.24529,
        1.23656,
        1.28673,
        1.20966,
        1.30672,
        1.25637,
        1.19215,
        1.19451,
        1.21524,
        1.22422,
        1.2567,
        1.20596,
        1.27573,
        1.24634,
        1.23619,
        1.17483,
        1.16214,
        1.19649,
        1.18639,
        1.16794,
        1.23211,
        1.19093,
        1.19345,
        1.18748,
        1.22698,
        1.21075,
        1.18792,
        1.19947,
        1.27416,
        1.26909,
        1.22467,
        1.27407,
        1.20828,
        1.24173,
        1.21638,
        1.19384,
        1.19932,
        1.18105,
        1.18743,
        1.21819,
        1.24729,
        1.29335,
        1.30094,
        1.2867,
        1.15295,
        1.15007,
        1.15644,
        1.19209,
        1.19596,
        1.22632,
        1.31002,
        1.26718,
        1.20711,
        1.23036,
        1.17535,
        1.29848,
        1.32597,
        1.25609,
        1.22201,
        1.25481,
        1.16536,
        1.29609,
        1.21931,
        1.21267,
        1.27494,
        1.2166,
        1.15192,
        1.37852,
        1.20295,
        0.900174,
        1.29569,
        1.29541,
        1.2902,
        1.39981,
        1.33482,
        1.52132,
        1.45115,
        1.59921,
        1.42841,
        1.1809,
        1.25595,
        1.17048,
        1.32687,
        1.2625,
        1.15612,
        1.3164,
        1.24835,
        1.22374,
        1.25671,
        1.22604,
        1.25517,
        1.25484,
        1.18878,
        1.27148,
        1.25517,
        1.2496,
        1.25093,
        1.31479,
        1.19695,
        1.21049,
        1.268,
        1.31672,
        1.26852,
        1.19514,
        1.20311,
        1.20074,
        1.23731,
        1.30793,
        1.19582,
        1.28194,
        1.2104,
        1.24024,
        1.19952,
        1.25841,
        1.23701,
        1.31785,
        1.24952,
        1.23383,
        1.23269,
        1.29574,
        1.3065,
        1.28995,
        1.2336,
        1.22511,
        1.2571,
        1.19588,
        1.24221,
        1.24132,
        1.20621,
        1.27532,
        1.28919,
        1.22186,
        1.23699,
        1.3039,
        1.26017,
        1.26371,
        1.22281,
        1.30546,
        1.30044,
        1.23944,
        1.19482,
        1.2765,
        1.24139,
        1.25263,
        1.22241,
        1.28315,
        1.21114,
        1.24306,
        1.20426,
        1.23735,
        1.25655,
        1.26208,
        1.25191,
        1.21517,
        1.24888,
        1.25405,
        1.16656,
        1.25261,
        1.19109,
        1.19443,
        1.28316,
        1.19911,
        1.22763,
        1.25145,
        1.19394,
        1.22816,
        1.22955,
        1.28743,
        1.25655,
        1.24376,
        1.30129,
        1.23829,
        1.26043,
        1.17427,
        1.12691,
        1.26085,
        1.18761,
        1.22127,
        1.28201,
        1.28051,
        1.33171,
        1.23692,
        1.24184,
        1.19515,
        1.30255,
        1.41781,
        1.24765,
        1.205,
        1.20929,
        1.28927,
        1.05483,
        1.35598,
        1.20917,
        1.28895,
        1.29213,
        1.27567,
        1.23116,
        1.24752,
        1.24128,
        1.28672,
        1.23445,
        1.19291,
        1.2873,
        1.24669,
        1.2088,
        1.15171,
        1.28316,
        1.23653,
        1.27254,
        1.29182,
        1.26343,
        1.50131,
        1.45823,
        1.22411,
        1.37785,
        1.04005,
        1.16271,
        1.21762,
        1.14089,
        1.32238,
        1.44233,
        1.3114,
        1.28035,
        1.26112,
        1.33671,
        1.31502,
        1.20065,
        1.30395,
        1.2693,
        1.21176,
        1.40679,
        1.29603,
        1.32796,
        1.30058,
        1.44087,
        1.25229,
        1.38085,
        1.20565,
        1.20717,
        1.22327,
        1.32555,
        1.21327,
        1.26625,
        1.2527,
        1.25611,
        1.20527,
        1.2914,
        1.30311,
        1.38658,
        1.26303,
        1.21335,
        1.31324,
        1.28147,
        1.31156,
        1.25817,
        1.24341,
        1.27174,
        1.31655,
        1.34968,
        1.33226,
        1.35273,
        1.32441,
        1.29131,
        1.2944,
        1.33802,
        1.26033,
        1.30099,
        1.34013,
        1.29651,
        1.41844,
        1.345,
        1.31321,
        1.26061,
        1.21026,
        1.39069,
        1.24484,
        1.30545,
        1.31068,
        1.40406,
        1.2905,
        null,
        1.23536,
        1.24295,
        1.24739,
        1.23255,
        1.25113,
        1.28023,
        1.27463,
        1.25777,
        1.21494,
        1.24513,
        1.28159,
        1.20664,
        1.13906,
        1.19234,
        1.22611,
        1.25054,
        1.32613,
        1.2386,
        1.1513,
        1.14986,
        1.27835,
        1.31259,
        1.21406,
        1.18938,
        1.24202,
        1.24542,
        1.22576,
        1.19077,
        1.19929,
        1.19879,
        1.2693,
        1.27664,
        1.19344,
        1.2175,
        1.2574,
        1.20776,
        1.17518,
        1.1681,
        1.22577,
        1.263,
        1.21306,
        1.18783,
        1.16315,
        1.21937,
        1.2605,
        1.20492,
        1.21643,
        1.25822,
        1.21762,
        1.21734,
        1.23515,
        1.28684,
        1.28523,
        1.25681,
        1.19544,
        1.164,
        1.19869,
        1.16711,
        1.1539,
        1.21972,
        1.23997,
        1.27304,
        1.25013,
        1.2412,
        1.20089,
        1.16178,
        1.17133,
        1.17826,
        1.19378,
        1.15345,
        1.15336,
        1.22264,
        1.23856,
        1.23076,
        1.23339,
        1.22675,
        1.24115,
        1.24334,
        1.20203,
        1.19836,
        1.19942,
        1.14854,
        1.17615,
        1.21287,
        1.16768,
        1.15046,
        1.15887,
        1.13499,
        1.22098,
        1.20349,
        1.14391,
        1.16919,
        1.17395,
        1.1509,
        1.14481,
        1.14435,
        1.17745,
        1.17393,
        1.15282,
        1.19384,
        1.16396,
        1.17203,
        1.20564,
        1.19702,
        1.194,
        1.18218,
        1.18956,
        1.20074,
        1.19242,
        1.1538,
        1.18447,
        1.17502,
        1.1212,
        1.18013,
        1.20743,
        1.15548,
        1.17446,
        1.22399,
        1.23306,
        1.21845,
        1.23804,
        1.24509,
        1.24176,
        1.23895,
        1.17963,
        1.1551,
        1.19601,
        1.2406,
        1.18402,
        1.24316,
        1.21778,
        1.15695,
        1.15318,
        1.21066,
        1.22992,
        1.19763,
        1.18873,
        1.20635,
        1.20529,
        1.24298,
        1.24669,
        1.22435,
        1.21217,
        1.21751,
        1.24841,
        1.21558,
        1.18798,
        1.22187,
        1.217,
        1.18116,
        1.2019,
        1.19681,
        1.22319,
        1.22775,
        1.18335,
        1.22233,
        1.22632,
        1.18725,
        1.21871,
        1.22905,
        1.20111,
        1.21737,
        1.2456,
        1.23259,
        1.21219,
        1.25958,
        1.26693,
        1.25493,
        1.21226,
        1.20163,
        1.29193,
        1.29723,
        1.32288,
        1.32637,
        1.2985,
        1.27073,
        1.1063,
        1.22684,
        1.27505,
        1.24846,
        1.31612,
        1.26712,
        1.23876,
        1.3063,
        1.36356,
        1.26648,
        1.27382,
        1.24645,
        1.22921,
        1.31631,
        1.33208,
        1.30232,
        1.28964,
        1.19587,
        1.24078,
        1.3077,
        1.2786,
        1.22856,
        1.22374,
        1.23513,
        1.2965,
        1.24595,
        1.22571,
        1.25014,
        1.24576,
        1.24696,
        1.24435,
        1.26419,
        1.24587,
        1.20607,
        1.23735,
        1.25554,
        1.22878,
        1.20895,
        1.19727,
        1.22529,
        1.22713,
        1.18594,
        1.22009,
        1.25524,
        1.2447,
        1.24467,
        1.2456,
        1.23564,
        1.25155,
        1.24019,
        1.22467,
        1.20513,
        1.25029,
        1.27183,
        1.2169,
        1.22574,
        1.21268,
        1.17439,
        1.21657,
        1.23561,
        1.2338,
        1.25188,
        1.29336,
        1.32368,
        1.18022,
        1.16028,
        1.19693,
        1.19306,
        1.14872,
        1.34003,
        1.3573,
        1.18883,
        1.12781,
        1.85721,
        1.35956,
        1.35079,
        1.26628,
        1.23205,
        1.32634,
        1.37958,
        1.34173,
        1.35703,
        1.36302,
        1.32803,
        1.30496,
        1.29479,
        1.26288,
        1.29272,
        1.29578,
        1.35342,
        1.36245,
        1.34085,
        1.35459,
        1.41337,
        1.35039,
        1.29792,
        1.27074,
        1.29936,
        1.30319,
        1.29833,
        1.3002,
        1.30129,
        1.27315,
        1.21971,
        1.33659,
        1.35556,
        1.33182,
        1.35146,
        1.31319,
        1.30824,
        1.26512,
        1.22252,
        1.28187,
        1.23442,
        1.13917,
        1.25001,
        1.30796,
        1.26013,
        1.23887,
        1.2016,
        1.26665,
        1.30468,
        1.27465,
        1.27542,
        1.22404,
        1.25924,
        1.28162,
        1.28752,
        1.26516,
        1.26417,
        1.24466,
        1.22759,
        1.24656,
        1.22122,
        1.24167,
        1.24599,
        1.22577,
        1.21815,
        1.24288,
        1.25684,
        1.23013,
        1.20546,
        1.20269,
        1.21461,
        1.23693,
        1.23443,
        1.23147,
        1.23433,
        1.19474,
        1.18347,
        1.20306,
        1.21466,
        1.22349,
        1.19741,
        1.22493,
        1.22011,
        1.19054,
        1.17403,
        1.18595,
        1.18249,
        1.18297,
        1.18142,
        1.21048,
        1.18613,
        1.14186,
        1.17534,
        1.292,
        1.20812,
        1.19828,
        1.19027,
        1.1158,
        1.16731,
        1.18183,
        1.1711,
        1.1575,
        1.15943,
        1.17416,
        1.13566,
        1.17568,
        1.16925,
        1.13535,
        1.2279,
        1.24326,
        1.19049,
        1.21974,
        1.22193,
        1.18921,
        1.14651,
        1.24637,
        1.21592,
        1.1992,
        1.17183,
        1.18405,
        1.20125,
        1.20538,
        1.21363,
        1.2367,
        1.25082,
        1.21396,
        1.20741,
        1.21483,
        1.1851,
        1.19165,
        1.18286,
        1.18518,
        1.21584,
        1.20288,
        1.1781,
        1.15829,
        1.14181,
        1.19875,
        1.23368,
        1.20547,
        1.22241,
        1.24082,
        1.21934,
        1.21581,
        1.22321,
        1.19589,
        1.22008,
        1.16652,
        1.183,
        1.29065,
        1.28493,
        1.28205,
        1.28869,
        1.3287,
        1.20212,
        1.04699,
        1.2808,
        1.20266,
        1.15601,
        1.17503,
        1.18702,
        1.30628,
        1.27315,
        1.26021,
        1.21295,
        1.20403,
        1.18986,
        1.12856,
        1.14365,
        1.1239,
        1.15774,
        1.26927,
        1.27748,
        1.23727,
        1.20427,
        1.19454,
        1.23363,
        1.17488,
        1.20987,
        1.25761,
        1.27098,
        1.27372,
        1.23414,
        1.17693,
        1.19382,
        1.19524,
        1.20106,
        1.1951,
        1.2053,
        1.21149,
        1.23326,
        1.21957,
        1.2275,
        1.22718,
        1.18542,
        1.23294,
        1.26009,
        1.23494,
        1.25034,
        1.23367,
        1.31243,
        1.25823,
        1.2223,
        1.21118,
        1.19817,
        1.23225,
        1.3171,
        1.23287,
        1.25979,
        1.24246,
        1.25161,
        1.2168,
        1.23234,
        1.275,
        1.23014,
        1.22981,
        1.20163,
        1.20568,
        1.25667,
        1.24192,
        1.20284,
        1.21912,
        1.16659,
        1.19851,
        1.30017,
        1.30092,
        1.26412,
        1.24577,
        1.24341,
        1.20077,
        1.19506,
        1.19852,
        1.22833,
        1.21442,
        1.25668,
        1.22843,
        1.2197,
        1.19499,
        1.1736,
        1.16774,
        1.18045,
        1.20543,
        1.19662,
        1.17803,
        1.20613,
        1.19431,
        1.20982,
        1.23387,
        1.20917,
        1.23156,
        1.24459,
        1.20704,
        1.22879,
        1.2502,
        1.20895,
        1.24152,
        1.20075,
        1.21658,
        1.22958,
        1.21244,
        1.20357,
        1.23057,
        1.23101,
        1.20066,
        1.20625,
        1.22494,
        1.19453,
        1.19538,
        1.1577,
        1.18256,
        1.18381,
        1.20168,
        1.21245,
        1.2012,
        1.21261,
        1.19505,
        1.19793,
        1.23534,
        1.21697,
        1.20281,
        1.24815,
        1.20279,
        1.20509,
        1.17708,
        1.25146,
        1.23088,
        1.211,
        1.23322,
        1.2328,
        1.21446,
        1.2256,
        1.2056,
        1.18034,
        1.19119,
        1.22333,
        1.26327,
        1.21577,
        1.20919,
        1.21379,
        1.2466,
        1.23455,
        1.26643,
        1.29181,
        1.27998,
        1.2309,
        1.28941,
        1.22377,
        1.22383,
        1.25345,
        1.26756,
        1.23694,
        1.2486,
        1.2697,
        1.27041,
        1.26467,
        1.21994,
        1.20934,
        1.26131,
        1.25728,
        1.22595,
        1.28182,
        1.26692,
        1.26889,
        1.24243,
        1.23232,
        1.23371,
        1.243,
        1.26605,
        1.25713,
        1.2414,
        1.2628,
        1.28105,
        1.24749,
        1.27374,
        1.29003,
        1.24781,
        1.27588,
        1.26734,
        1.28728,
        1.2633,
        1.28457,
        1.24858,
        1.23038,
        1.24309,
        1.23967,
        1.28535,
        1.23403,
        1.23703,
        1.22814,
        1.22297,
        1.21333,
        1.25241,
        1.26871,
        1.23658,
        1.20323,
        1.19053,
        1.18978,
        1.19553,
        1.17962,
        1.19835,
        1.1757,
        1.16323,
        1.12964,
        1.20197,
        1.23389,
        1.2097,
        1.18633,
        1.26114,
        1.33348,
        1.27413,
        1.25869,
        1.18995,
        1.30905,
        1.52024,
        1.46897,
        1.30073,
        1.26798,
        1.20939,
        1.31684,
        1.35093,
        1.29033,
        1.25149,
        1.29699,
        1.31026,
        1.28505,
        1.28856,
        1.24654,
        1.21221,
        1.28157,
        1.26917,
        1.22072,
        1.22688,
        1.26108,
        1.29328,
        1.25413,
        1.27618,
        1.27214,
        1.2541,
        1.27696,
        1.3187,
        1.23942,
        1.23094,
        1.24573,
        1.27104,
        1.27119,
        1.27629,
        1.29932,
        1.32879,
        1.31785,
        1.27675,
        1.26482,
        1.26498,
        1.27316,
        1.2677,
        1.30385,
        1.2739,
        1.31077,
        1.30438,
        1.27859,
        1.25688,
        1.28507,
        1.25701,
        1.32226,
        1.30993,
        1.28505,
        1.29835,
        1.27501,
        1.29455,
        1.27091,
        1.29571,
        1.29362,
        1.25715,
        1.24136,
        1.24937,
        1.24077,
        1.24982,
        1.26693,
        1.25822,
        1.23572,
        1.193,
        1.20255,
        1.21711,
        1.23246,
        1.18784,
        1.18941,
        1.20832,
        1.18025,
        1.15988,
        1.1886,
        1.19815,
        1.22066,
        1.2046,
        1.17004,
        1.17293,
        1.16985,
        1.16849,
        1.1797,
        1.17802,
        1.17529,
        1.19227,
        1.19801,
        1.23735,
        1.18859,
        1.18525,
        1.17744,
        1.17653,
        1.2054,
        1.20148,
        1.21145,
        1.22796,
        1.22787,
        1.23929,
        1.19199,
        1.22485,
        1.21075,
        1.1913,
        1.20218,
        1.16353,
        1.18139,
        1.14398,
        1.18281,
        1.20984,
        1.18258,
        1.20337,
        1.1885,
        1.21871,
        1.17766,
        1.16936,
        1.17774,
        1.20372,
        1.16188,
        1.1707,
        1.22979,
        1.22856,
        1.19356,
        1.2035,
        1.23557,
        1.22592,
        1.19114,
        1.19833,
        1.24237,
        1.21318,
        1.20995,
        1.22117,
        1.20838,
        1.20792,
        1.2497,
        1.27181,
        1.28248,
        1.22339,
        1.22209,
        1.22498,
        1.20991,
        1.25445,
        1.23565,
        1.24014,
        1.21553,
        1.26737,
        1.2322,
        1.24295,
        1.2452,
        1.22746,
        1.25449,
        1.25805,
        1.23308,
        1.21571,
        1.23099,
        1.23292,
        1.22466,
        1.26187,
        1.19979,
        1.21345,
        1.23761,
        1.26142,
        1.2635,
        1.22406,
        1.22011,
        1.21501,
        1.20572,
        1.2434,
        1.23253,
        1.21904,
        1.23461,
        1.25841,
        1.23339,
        1.23454,
        1.26735,
        1.24933,
        1.23554,
        1.23915,
        1.21616,
        1.19854,
        1.20103,
        1.17039,
        1.22607,
        1.24274,
        1.23635,
        1.2173,
        1.23182,
        1.20988,
        1.16868,
        1.16594,
        1.21309,
        1.19255,
        1.20743,
        1.16302,
        1.18569,
        1.17019,
        1.17708,
        1.19958,
        1.19598,
        1.18057,
        1.1827,
        1.20908,
        1.19384,
        1.19199,
        1.19599,
        1.13326,
        1.17205,
        1.17208,
        1.19144,
        1.16402,
        1.17652,
        1.19928,
        1.17874,
        1.18122,
        1.18989,
        1.19334,
        1.18228,
        1.21689,
        1.19956,
        1.17459,
        1.20411,
        1.264,
        1.2352,
        1.21097,
        1.18851,
        1.2191,
        1.22128,
        1.24867,
        1.24175,
        1.25581,
        1.25146,
        1.23594,
        1.23151,
        1.25104,
        1.23961,
        1.21188,
        1.1973,
        1.2438,
        1.24651,
        1.22256,
        1.19617,
        1.1948,
        1.22084,
        1.23424,
        1.25287,
        1.25271,
        1.23225,
        1.24711,
        1.22032,
        1.23602,
        1.2362,
        1.2692,
        1.24854,
        1.23779,
        1.22281,
        1.24004,
        1.25447,
        1.23538,
        1.23682,
        1.24678,
        1.272,
        1.24764,
        1.25409,
        1.26075,
        1.26313,
        1.27042,
        1.27098,
        1.25308,
        1.244,
        1.25201,
        1.22441,
        1.22296,
        1.2174,
        1.26324,
        1.2476,
        1.21932,
        1.20991,
        1.19869,
        1.25727,
        1.22704,
        1.18984,
        1.20977,
        1.1921,
        1.23897,
        1.25293,
        1.21543,
        1.19051,
        1.18888,
        1.21117,
        1.2138,
        1.20945,
        1.20724,
        1.21758,
        1.20816,
        1.19981,
        1.21382,
        1.21067,
        1.21557,
        1.24907,
        1.23449,
        1.22583,
        1.20066,
        1.20641,
        1.24602,
        1.19978,
        1.18553,
        1.23741,
        1.23089,
        1.2063,
        1.20604,
        1.19172,
        1.26955,
        1.24799,
        1.21463,
        1.23475,
        1.23849,
        1.28238,
        1.27024,
        1.27035,
        1.29161,
        1.29786,
        1.26237,
        1.19977,
        1.23733,
        1.19688,
        1.18845,
        1.21403,
        1.24038,
        1.31504,
        1.22577,
        1.30083,
        1.2862,
        1.34219,
        1.24392,
        1.1916,
        1.18732,
        1.25714,
        1.19006,
        1.23004,
        1.28805,
        1.29157,
        1.26418,
        1.22524,
        1.2259,
        1.21592,
        1.24021,
        1.26368,
        1.2097,
        1.22677,
        1.24482,
        1.24382,
        1.24506,
        1.26881,
        1.23711,
        1.24586,
        1.29336,
        1.25301,
        1.24168,
        1.25844,
        1.2693,
        1.24671,
        1.24613,
        1.25482,
        1.23763,
        1.27385,
        1.23124,
        1.27739,
        1.28739,
        1.29336,
        1.31288,
        1.22534,
        1.22138,
        1.25963,
        1.20155,
        1.22416,
        1.2214,
        1.21633,
        1.15868,
        1.21742,
        1.19291,
        1.21488,
        1.23292,
        1.22624,
        1.21186,
        1.1965,
        1.2821,
        1.19016,
        1.19158,
        1.23319,
        1.15719,
        1.15545,
        1.03672,
        1.10483,
        1.38984,
        1.39008,
        1.24813,
        1.25928,
        1.27441,
        1.27731,
        1.29825,
        1.19746,
        1.34482,
        1.30927,
        1.30329,
        1.30764,
        1.30774,
        1.27588,
        1.25609,
        1.30186,
        1.24919,
        1.28942,
        1.24402,
        1.21877,
        1.25153,
        1.23373,
        1.2616,
        1.30235,
        1.30189,
        1.28264,
        1.19909,
        1.20651,
        1.27297,
        1.2765,
        1.2221,
        1.20553,
        1.22556,
        1.28778,
        1.30042,
        1.23835,
        1.23796,
        1.22597,
        1.28742,
        1.29785,
        1.30166,
        1.26724,
        1.23606,
        1.30519,
        1.34871,
        1.26467,
        1.27523,
        1.22604,
        1.20756,
        1.22884,
        1.25412,
        1.22141,
        1.20942,
        1.30499,
        1.22162,
        1.2377,
        1.29737,
        1.2533,
        1.25954,
        1.24418,
        1.24222,
        1.24867,
        1.27791,
        1.24387,
        1.226,
        1.23807,
        1.22442,
        1.22156,
        1.27549,
        1.27185,
        1.27518,
        1.25492,
        1.30669,
        1.2098,
        1.22026,
        1.24281,
        1.23616,
        1.24705,
        1.21684,
        1.26578,
        1.27126,
        1.2211,
        1.20453,
        1.18992,
        1.22264,
        1.2036,
        1.23082,
        1.20424,
        1.22633,
        1.24684,
        1.21037,
        1.19229,
        1.22301,
        1.20704,
        1.23269,
        1.23028,
        1.21605,
        1.23282,
        1.25939,
        1.22527,
        1.2319,
        1.19315,
        1.19775,
        1.17871,
        1.18062,
        1.19642,
        1.18957,
        1.19165,
        1.18879,
        1.2311,
        1.21623,
        1.21612,
        1.19838,
        1.18187,
        1.19007,
        1.17048,
        1.1833,
        1.15543,
        1.21503,
        1.18323,
        1.1299,
        1.17539,
        1.18334,
        1.19666,
        1.16919,
        1.15062,
        1.15266,
        1.14802,
        1.12063,
        1.17133,
        1.12782,
        1.11549,
        1.19214,
        1.19412,
        1.20418,
        1.12933,
        1.15296,
        1.13236,
        1.16629,
        1.17513,
        1.14866,
        1.17607,
        1.14992,
        1.19262,
        1.21003,
        1.16213,
        1.19045,
        1.17413,
        1.13974,
        1.17231,
        1.18559,
        1.17645,
        1.14922,
        1.13508,
        1.15344,
        1.17582,
        1.20412,
        1.18776,
        1.20376,
        1.22628,
        1.17193,
        1.18275,
        1.20983,
        1.19379,
        1.17812,
        1.19095,
        1.22682,
        1.18737,
        1.19933,
        1.19114,
        1.22803,
        1.24399,
        1.21957,
        1.21,
        1.22331,
        1.27394,
        1.25518,
        1.2484,
        1.24723,
        1.23457,
        1.21046,
        1.19444,
        1.22493,
        1.22402,
        1.25651,
        1.23241,
        1.27049,
        1.24201,
        1.24922,
        1.27197,
        1.2192,
        1.20109,
        1.2171,
        1.2315,
        1.27819,
        1.25901,
        1.24296,
        1.244,
        1.24048,
        1.22301,
        1.20474,
        1.22344,
        1.25587,
        1.22906,
        1.22231,
        1.26427,
        1.26618,
        1.27318,
        1.27079,
        1.28416,
        1.24818,
        1.26369,
        1.28577,
        1.25904,
        1.25754,
        1.25651,
        1.23682,
        1.27824,
        1.28692,
        1.28809,
        1.25443,
        1.30852,
        1.27727,
        1.30346,
        1.28359,
        1.31299,
        1.25025,
        1.22993,
        1.21991,
        1.21651,
        1.24938,
        1.28172,
        1.28193,
        1.25508,
        1.25541,
        1.23027,
        1.19599,
        1.22321,
        1.1888,
        1.20236,
        1.27723,
        1.14294,
        1.25308,
        1.1971,
        1.22903,
        1.20086,
        1.21316,
        1.23689,
        1.39591,
        1.27184,
        1.25613,
        1.24478,
        1.27372,
        1.23284,
        1.1772,
        1.23092,
        1.23358,
        1.2036,
        1.17,
        1.17788,
        1.20757,
        1.25127,
        1.22368,
        1.19511,
        1.20783,
        1.24705,
        1.22065,
        1.17813,
        1.23313,
        1.21189,
        1.25092,
        1.21049,
        1.18533,
        1.2134,
        1.20748,
        1.21692,
        1.24239,
        1.19326,
        1.20871,
        1.23749,
        1.23482,
        1.24954,
        1.26776,
        1.21729,
        1.23011,
        1.28256,
        1.23527,
        1.20979,
        1.18487,
        1.23121,
        1.22204,
        1.22968,
        1.25254,
        1.2362,
        1.25514,
        1.23535,
        1.2822,
        1.30171,
        1.21642,
        1.24283,
        1.18853,
        1.19389,
        1.237,
        1.26217,
        1.22918,
        1.2448,
        1.33534,
        1.28119,
        1.28951,
        1.17345,
        1.26641,
        1.27956,
        1.23617,
        1.22201,
        1.30143,
        1.27936,
        1.28157,
        1.2402,
        1.22567,
        1.26728,
        1.2032,
        1.27408,
        1.27384,
        1.31719,
        1.2471,
        1.21786,
        1.20504,
        1.22832,
        1.27409,
        1.32307,
        1.30092,
        1.24359,
        1.29165,
        1.30507,
        1.29629,
        1.30391,
        1.24506,
        1.27272,
        1.29852,
        1.26073,
        1.25345,
        1.21625,
        1.25418,
        1.22814,
        1.24147,
        1.20238,
        1.28052,
        1.29766,
        1.32334,
        1.31567,
        1.31746,
        1.27392,
        1.23644,
        1.2728,
        1.23356,
        1.28589,
        1.31381,
        1.32419,
        1.28808,
        1.27455,
        1.29729,
        1.32359,
        1.29804,
        1.2874,
        1.27203,
        1.2688,
        1.29612,
        1.34402,
        1.32385,
        1.33598,
        1.29331,
        1.29303,
        1.30189,
        1.26782,
        1.23476,
        1.26457,
        1.28857,
        1.34175,
        1.30701,
        1.34582,
        1.27572,
        1.27618,
        1.24677,
        1.32227,
        1.28624,
        1.20738,
        1.19595,
        1.25117,
        1.29941,
        1.30599,
        1.25706,
        1.20063,
        1.21571,
        1.25561,
        1.22892,
        1.2041,
        1.24584,
        1.18874,
        1.23152,
        1.17135,
        1.23878,
        1.28599,
        1.40271,
        1.24457,
        1.30592,
        1.19138,
        1.1065,
        1.29779,
        1.70613,
        1.10329,
        1.23407,
        1.26305,
        1.18411,
        1.27819,
        1.35011,
        1.18742,
        1.26396,
        1.27026,
        1.20089,
        1.2572,
        1.32819,
        1.21154,
        1.28346,
        1.07715,
        1.05213,
        1.19235,
        1.48309,
        1.13549,
        1.29754,
        1.34064,
        1.27561,
        1.40164,
        1.38854,
        1.3379,
        1.30091,
        1.22245,
        1.25396,
        1.17275,
        1.18933,
        1.17716,
        1.29766,
        1.25266,
        1.34386,
        1.32371,
        1.26327,
        1.14655,
        1.25689,
        1.26741,
        1.19729,
        1.17785,
        1.15485,
        1.26583,
        1.27659,
        1.24898,
        1.1424,
        1.24625,
        1.23817,
        1.27861,
        1.22776,
        1.2308,
        1.28189,
        1.2321,
        1.2418,
        1.25983,
        1.24028,
        1.27106,
        1.22856,
        1.25069,
        1.22767,
        1.21149,
        1.22559,
        1.22545,
        1.24778,
        1.22672,
        1.21951,
        1.23971,
        1.27212,
        1.24958,
        1.23363,
        1.27333,
        1.20207,
        1.22688,
        1.28529,
        1.21812,
        1.18018,
        1.21916,
        1.20851,
        1.2296,
        1.22979,
        1.18826,
        1.19432,
        1.21816,
        1.28493,
        1.25781,
        1.25914,
        1.25186,
        1.23271,
        1.2176,
        1.22774,
        1.23337,
        1.28998,
        1.23963,
        1.20979,
        1.20182,
        1.25989,
        1.2111,
        1.20308,
        1.2268,
        1.23534,
        1.22858,
        1.30656,
        1.32753,
        1.28506,
        1.28442,
        1.24207,
        1.22308,
        1.22801,
        1.18924,
        1.24017,
        1.21458,
        1.25994,
        1.27656,
        1.29878,
        1.24736,
        1.2201,
        1.24013,
        1.25336,
        1.28368,
        1.17603,
        1.23111,
        1.23845,
        1.2297,
        1.2714,
        1.28944,
        1.22878,
        1.23695,
        1.20216,
        1.1413,
        1.19825,
        1.21993,
        1.27531,
        1.2392,
        1.28441,
        1.27185,
        1.22446,
        1.18158,
        1.20026,
        1.1874,
        1.16877,
        1.19868,
        1.22215,
        1.23369,
        1.24611,
        1.23648,
        1.219,
        1.18235,
        1.19939,
        1.24501,
        1.21529,
        1.20094,
        1.2586,
        1.2468,
        1.17719,
        1.2186,
        1.25319,
        1.26751,
        1.24402,
        1.18118,
        1.17807,
        1.21074,
        1.29378,
        1.26909,
        1.23007,
        1.26955,
        1.23553,
        1.2658,
        1.24461,
        1.19888,
        1.2128,
        1.18238,
        1.24297,
        1.25755,
        1.23264,
        1.18229,
        1.25385,
        1.21969,
        1.24511,
        1.24173,
        1.25145,
        1.25795,
        1.22729,
        1.24074,
        1.28175,
        1.27504,
        1.25542,
        1.24447,
        1.27249,
        1.25329,
        1.26552,
        1.22629,
        1.28038,
        1.24712,
        1.21621,
        1.21418,
        1.27209,
        1.26312,
        1.25286,
        1.24332,
        1.19804,
        1.25019,
        1.20139,
        1.19999,
        1.24291,
        1.16083,
        1.18588,
        1.21288,
        1.21093,
        1.21647,
        1.16225,
        1.23838,
        1.18829,
        1.19976,
        1.22173,
        1.26342,
        1.2004,
        1.20969,
        1.16327,
        1.14814,
        1.14889,
        1.16451,
        1.19534,
        1.20399,
        1.1759,
        1.16011,
        1.14763,
        1.19479,
        1.19948,
        1.18068,
        1.21219,
        1.16991,
        1.20924,
        1.19233,
        1.19201,
        1.18225,
        1.15588,
        1.14722,
        1.16469,
        1.15894,
        1.161,
        1.19242,
        1.19428,
        1.20442,
        1.19781,
        1.22774,
        1.18797,
        1.16017,
        1.2139,
        1.19596,
        1.1789,
        1.19684,
        1.20305,
        1.22465,
        1.24427,
        1.20221,
        1.24626,
        1.23105,
        1.25262,
        1.23824,
        1.19313,
        1.25239,
        1.23832,
        1.16891,
        1.20374,
        1.1766,
        1.20749,
        1.18549,
        1.24017,
        1.25051,
        1.20213,
        1.24548,
        1.20603,
        1.21162,
        1.16796,
        1.1617,
        1.21858,
        1.2099,
        1.25193,
        1.17297,
        1.1964,
        1.22618,
        1.16904,
        1.15959,
        1.21564,
        1.22427,
        1.18606,
        1.20747,
        1.2342,
        1.26078,
        1.23249,
        1.22718,
        1.17331,
        1.16766,
        1.25481,
        1.20777,
        1.19342,
        1.16534,
        1.22831,
        1.22379,
        1.21628,
        1.22304,
        1.26048,
        1.21981,
        1.24215,
        1.23106,
        1.21773,
        1.23809,
        1.23803,
        1.20193,
        1.19896,
        1.24944,
        1.28268,
        1.26795,
        1.20835,
        1.23894,
        1.17141,
        1.23936,
        1.25985,
        1.25254,
        1.23582,
        1.27528,
        1.22072,
        1.24893,
        1.20455,
        1.20828,
        1.28474,
        1.26016,
        1.19857,
        1.2574,
        1.27973,
        1.22784,
        1.30984,
        1.19146,
        1.21878,
        1.24607,
        1.25629,
        1.27633,
        1.2664,
        1.22303,
        1.28463,
        1.28206,
        1.2636,
        1.1968,
        1.22902,
        1.20507,
        1.22841,
        1.19252,
        1.25421,
        1.26106,
        1.21493,
        1.20749,
        1.25555,
        1.26259,
        1.25486,
        1.27596,
        1.24733,
        1.21601,
        1.24486,
        1.21054,
        1.22348,
        1.2541,
        1.3023,
        1.25839,
        1.2261,
        1.1736,
        1.22416,
        1.24904,
        1.23512,
        1.25514,
        1.29428,
        1.21467,
        1.24367,
        1.2143,
        1.21969,
        1.25738,
        1.27284,
        1.28349,
        1.20724,
        1.25593,
        1.19245,
        1.22184,
        1.19618,
        1.22268,
        1.2908,
        1.24069,
        1.24114,
        1.19258,
        1.28172,
        1.21969,
        1.24905,
        1.27732,
        1.21547,
        1.25086,
        1.23468,
        1.20113,
        1.16112,
        1.21739,
        1.21133,
        1.13759,
        1.20335,
        1.23496,
        1.19035,
        1.15048,
        1.27763,
        1.19004,
        1.25033,
        1.22491,
        1.22958,
        1.30857,
        1.10558,
        1.0471,
        0.960456,
        0.996195,
        1.06363,
        1.21387,
        1.28882,
        1.20696,
        1.48139,
        1.32852,
        1.39636,
        1.27566,
        1.23,
        1.14312,
        1.2616,
        1.25853,
        1.2474,
        1.14943,
        1.21184,
        1.26721,
        1.25338,
        1.31361,
        1.3008,
        1.29463,
        1.37708,
        1.26026,
        1.2599,
        1.31486,
        1.35538,
        1.25687,
        1.22147,
        1.28977,
        1.24423,
        1.29143,
        1.28421,
        1.26552,
        1.28108,
        1.2514,
        1.21636,
        1.27455,
        1.29907,
        1.26486,
        1.28586,
        1.259,
        1.30437,
        1.29604,
        1.24919,
        1.2904,
        1.26177,
        1.27981,
        1.19965,
        1.22141,
        1.26198,
        1.25124,
        1.31496,
        1.28347,
        1.2343,
        1.23255,
        1.23805,
        1.32113,
        1.26577,
        1.26319,
        1.2418,
        1.26079,
        1.30001,
        1.27489,
        1.21534,
        1.30181,
        1.24919,
        1.26766,
        1.27433,
        1.25332,
        1.23397,
        1.29397,
        1.26294,
        1.17314,
        1.25497,
        1.23515,
        1.21233,
        1.20017,
        1.19957,
        1.17749,
        1.11524,
        1.21867,
        1.20144,
        1.20292,
        1.23075,
        1.1695,
        1.19428,
        1.16331,
        1.22179,
        1.19871,
        1.18703,
        1.22704,
        1.27737,
        1.18615,
        1.14474,
        1.23724,
        1.1821,
        1.16682,
        1.27886,
        1.24569,
        1.20279,
        1.25535,
        1.20534,
        1.15436,
        1.17631,
        1.23317,
        1.22867,
        1.16388,
        1.17671,
        1.18492,
        1.2108,
        1.24857,
        1.2098,
        1.18637,
        1.21902,
        1.20885,
        1.22108,
        1.13007,
        1.2414,
        1.25664,
        1.27716,
        1.22769,
        1.13025,
        1.21555,
        1.2256,
        null,
        1.25816,
        1.25956,
        1.27916,
        1.23874,
        1.25151,
        1.29069,
        1.24332,
        1.24326,
        1.24553,
        1.23865,
        1.28288,
        1.20195,
        1.16501,
        1.19469,
        1.1911,
        1.21781,
        1.19894,
        1.21023,
        1.25966,
        1.24436,
        1.22761,
        1.24916,
        1.23989,
        1.22605,
        1.24092,
        1.23771,
        1.19946,
        1.21857,
        1.24907,
        1.23332,
        1.23589,
        1.23328,
        1.20459,
        1.19939,
        1.23238,
        1.22249,
        1.18103,
        1.23709,
        1.23383,
        1.22909,
        1.22323,
        1.17279,
        1.17559,
        1.2198,
        1.19696,
        1.20833,
        1.20379,
        1.18681,
        1.20131,
        1.18592,
        1.14242,
        1.16134,
        1.21497,
        1.21414,
        1.23248,
        1.25495,
        1.25607,
        1.27684,
        1.28066,
        1.24068,
        1.24034,
        1.27601,
        1.28724,
        1.23483,
        1.28412,
        1.3029,
        1.29092,
        1.26207,
        1.23266,
        1.24303,
        1.27626,
        1.28272,
        1.30341,
        1.32966,
        1.29796,
        1.24881,
        1.24483,
        1.24129,
        1.26443,
        1.25886,
        1.26317,
        1.26651,
        1.29312,
        1.26579,
        1.25828,
        1.25506,
        1.24945,
        1.26722,
        1.29947,
        1.2912,
        1.26743,
        1.23737,
        1.22676,
        1.2927,
        1.31408,
        1.31002,
        1.29956,
        1.26707,
        1.25722,
        1.26446,
        1.25974,
        1.27595,
        1.25676,
        1.27174,
        1.27355,
        1.28242,
        1.26711,
        1.25991,
        1.256,
        1.28707,
        1.30321,
        1.29598,
        1.21531,
        1.18191,
        1.18913,
        1.19749,
        1.20724,
        1.12517,
        1.19161,
        1.25586,
        1.23518,
        1.15343,
        1.08971,
        0.934588,
        0.965838,
        1.03148,
        1.16393,
        1.34515,
        1.13789,
        0.957476,
        1.27384,
        1.31929,
        1.24367,
        1.22776,
        1.20529,
        1.25951,
        1.32275,
        1.29748,
        1.31183,
        1.26977,
        1.28068,
        1.25925,
        1.27512,
        1.25921,
        1.26407,
        1.28377,
        1.2759,
        1.28829,
        1.2682,
        1.26757,
        1.3255,
        1.28135,
        1.29081,
        1.29575,
        1.28035,
        1.23873,
        1.23793,
        1.2994,
        1.32325,
        1.32537,
        1.2983,
        1.27592,
        1.27625,
        1.27447,
        1.25365,
        1.26228,
        1.26038,
        1.27722,
        1.27431,
        1.2892,
        1.25718,
        1.25621,
        1.31807,
        1.30208,
        1.28902,
        1.23188,
        1.23425,
        1.26894,
        1.24322,
        1.23446,
        1.23342,
        1.2904,
        1.25561,
        1.24279,
        1.24612,
        1.23584,
        1.20997,
        1.23078,
        1.22138,
        1.21391,
        1.22316,
        1.21232,
        1.23601,
        1.2551,
        1.21203,
        1.22745,
        1.21649,
        1.23896,
        1.22485,
        1.21563,
        1.19248,
        1.18339,
        1.21318,
        1.21889,
        1.24416,
        1.21937,
        1.18911,
        1.22822,
        1.22758,
        1.21433,
        1.22675,
        1.22947,
        1.22125,
        1.26482,
        1.2281,
        1.23063,
        1.24657,
        1.2237,
        1.2351,
        1.21716,
        1.19629,
        1.21057,
        1.22289,
        1.22671,
        1.23035,
        1.23049,
        1.19345,
        1.23302,
        1.24143,
        1.2507,
        1.25929,
        1.242,
        1.20594,
        1.21814,
        1.25693,
        1.29124,
        1.23132,
        1.23361,
        1.22975,
        1.22839,
        1.25002,
        1.26189,
        1.26208,
        1.2425,
        1.24737,
        1.26099,
        1.25585,
        1.29579,
        1.29227,
        1.28043,
        1.27164,
        1.30064,
        1.30402,
        1.27365,
        1.27651,
        1.29195,
        1.27732,
        1.26946,
        1.24964,
        1.2722,
        1.26732,
        1.2561,
        1.29354,
        1.32635,
        1.29225,
        1.25462,
        1.26123,
        1.24981,
        1.22478,
        1.26608,
        1.25036,
        1.2811,
        1.26172,
        1.23797,
        1.26067,
        1.26445,
        1.2842,
        1.22426,
        1.24093,
        1.26898,
        1.2818,
        1.23096,
        1.2474,
        1.25324,
        1.2282,
        1.21806,
        1.24436,
        1.2213,
        1.21934,
        1.2858,
        1.25603,
        1.25001,
        1.262,
        1.24089,
        1.24661,
        1.22067,
        1.24895,
        1.2772,
        1.23934,
        1.2391,
        1.23682,
        1.22912,
        1.22303,
        1.26489,
        1.28185,
        1.27824,
        1.2766,
        1.2787,
        1.28626,
        1.27013,
        1.28057,
        1.26396,
        1.25722,
        1.29665,
        1.33838,
        1.33791,
        1.26375,
        1.23484,
        1.26263,
        1.25998,
        1.24878,
        1.22229,
        1.22643,
        1.26085,
        1.28772,
        1.25776,
        1.22686,
        1.28232,
        1.29372,
        1.2888,
        1.38892,
        1.29421,
        1.33503,
        1.3025,
        1.24223,
        1.30156,
        1.40764,
        1.28452,
        1.32325,
        1.22656,
        1.29264,
        1.22618,
        1.23309,
        1.21967,
        1.31387,
        1.31694,
        1.31268,
        1.26057,
        1.25258,
        1.31089,
        1.28519,
        1.28909,
        1.28819,
        1.2529,
        1.22998,
        1.24108,
        1.21089,
        1.20607,
        1.19842,
        1.19762,
        1.20703,
        1.22246,
        1.23376,
        1.24702,
        1.24045,
        1.26275,
        1.23524,
        1.24536,
        1.26216,
        1.24798,
        1.21703,
        1.23086,
        1.26158,
        1.22285,
        1.2911,
        1.29417,
        1.23571,
        1.26022,
        1.25205,
        1.22995,
        1.23176,
        1.2487,
        1.27084,
        1.23875,
        1.23925,
        1.27083,
        1.31046,
        1.3089,
        1.286,
        1.28515,
        1.26395,
        1.26819,
        1.25235,
        1.26572,
        1.25787,
        1.27802,
        1.2665,
        1.26632,
        1.28745,
        1.27826,
        1.28575,
        1.29592,
        1.25519,
        1.21157,
        1.28649,
        1.27384,
        1.3242,
        1.29697,
        1.2633,
        1.29107,
        1.30049,
        1.30605,
        1.31225,
        1.30301,
        1.30304,
        1.30568,
        1.30879,
        1.31066,
        1.31483,
        1.31353,
        1.28021,
        1.24538,
        1.26399,
        1.30074,
        1.28245,
        1.29472,
        1.29038,
        1.28106,
        1.29447,
        1.25352,
        1.27162,
        1.26402,
        1.26164,
        1.29764,
        1.31433,
        1.27184,
        1.2545,
        1.26434,
        1.27379,
        1.2899,
        1.27856,
        1.26911,
        1.26227,
        1.27459,
        1.28687,
        1.26137,
        1.26636,
        1.26713,
        1.2805,
        1.33454,
        1.31022,
        1.29124,
        1.22622,
        1.24087,
        1.20588,
        1.26459,
        1.28238,
        1.28442,
        1.23224,
        1.23098,
        1.25685,
        1.29365,
        1.30169,
        1.3385,
        1.27919,
        1.23328,
        1.28593,
        1.25267,
        1.2768,
        1.291,
        1.2644,
        1.21537,
        1.29442,
        1.33066,
        1.30079,
        1.32151,
        1.27876,
        1.27106,
        1.26314,
        1.29093,
        1.31216,
        1.3722,
        1.32096,
        1.32406,
        1.29498,
        1.34363,
        1.31732,
        1.32236,
        1.30895,
        1.25494,
        1.26431,
        1.31167,
        1.31827,
        1.32733,
        1.30881,
        1.32236,
        1.33197,
        1.32582,
        1.35026,
        1.32631,
        1.32257,
        1.34503,
        1.30855,
        1.3608,
        1.3333,
        1.21457,
        1.08341,
        0.953009,
        0.867616,
        0.875276,
        0.943769,
        1.08588,
        1.34611,
        1.49689,
        1.52432,
        1.68621,
        1.38511,
        1.3675,
        1.29429,
        1.33626,
        1.39067,
        1.38807,
        1.27682,
        1.40578,
        1.35762,
        1.32974,
        1.31728,
        1.28664,
        1.29566,
        1.29176,
        1.32451,
        1.33238,
        1.35299,
        1.36061,
        1.34581,
        1.34256,
        1.34714,
        1.35504,
        1.31989,
        1.33524,
        1.2894,
        1.31653,
        1.31689,
        1.33399,
        1.35786,
        1.33711,
        1.32546,
        1.30886,
        1.31454,
        1.31409,
        1.31612,
        1.34877,
        1.35688,
        1.31215,
        1.33249,
        1.30225,
        1.35004,
        1.34763,
        1.34542,
        1.30229,
        1.31991,
        1.33792,
        1.30617,
        1.30422,
        1.30111,
        1.31155,
        1.31108,
        1.27093,
        1.29606,
        1.29589,
        1.29976,
        1.30822,
        1.33729,
        1.33847,
        1.31054,
        1.34707,
        1.34753,
        1.30252,
        1.30826,
        1.35093,
        1.29795,
        1.32389,
        1.33856,
        1.33077,
        1.31342,
        1.3196,
        1.33911,
        1.35083,
        1.3702,
        1.33557,
        1.33733,
        1.31614,
        1.34708,
        1.30785,
        1.30388,
        1.36556,
        1.3456,
        1.37592,
        1.37054,
        1.37021,
        1.38858,
        1.34359,
        1.32322,
        1.36436,
        1.4163,
        1.36644,
        1.36364,
        1.39374,
        1.37026,
        1.33515,
        1.36181,
        1.34175,
        1.38434,
        1.36523,
        1.34709,
        1.30965,
        1.32946,
        1.33732,
        1.35523,
        1.3717,
        1.38122,
        1.35926,
        1.35007,
        1.40731,
        1.38124,
        1.36373,
        1.40046,
        1.39263,
        1.38503,
        1.4271,
        1.40289,
        1.41624,
        1.39679,
        1.37445,
        1.37606,
        1.34096,
        1.34241,
        1.37547,
        1.38614,
        1.36787,
        1.37616,
        1.36441,
        1.38312,
        1.33978,
        1.39012,
        1.38494,
        1.36523,
        1.36407,
        1.35905,
        1.36474,
        1.37832,
        1.36713,
        1.35221,
        1.35139,
        1.36569,
        1.35698,
        1.35986,
        1.36568,
        1.37366,
        1.38576,
        1.39459,
        1.40502,
        1.38464,
        1.38477,
        1.39925,
        1.38721,
        1.38428,
        1.3693,
        1.37934,
        1.391,
        1.3789,
        1.36946,
        1.38703,
        1.43313,
        1.40316,
        1.38422,
        1.43597,
        1.40069,
        1.39791,
        1.42739,
        1.42493,
        1.40772,
        1.38069,
        1.41982,
        1.42514,
        1.4145,
        1.37635,
        1.38979,
        1.41574,
        1.46324,
        1.45074,
        1.40282,
        1.38592,
        1.42155,
        1.43795,
        1.43604,
        1.40965,
        1.41832,
        1.42243,
        1.45177,
        1.45159,
        1.42663,
        1.38442,
        1.39598,
        1.41669,
        1.44505,
        1.34244,
        1.4028,
        1.40301,
        1.4101,
        1.37381,
        1.45609,
        1.48961,
        1.49984,
        1.442,
        1.44153,
        1.48864,
        1.49122,
        1.45961,
        1.46134,
        1.4792,
        1.32273,
        1.49759,
        1.51486,
        1.49697,
        1.43077,
        1.48523,
        1.47143,
        1.45791,
        1.48573,
        1.4554,
        1.4654,
        1.42344,
        1.48856,
        1.46501,
        1.49645,
        1.4252,
        1.42997,
        1.40252,
        1.39947,
        1.40459,
        1.41315,
        1.41635,
        1.454,
        1.41836,
        1.42107,
        1.41398,
        1.42929,
        1.42815,
        1.41405,
        1.42998,
        1.42289,
        1.40963,
        1.44979,
        1.41673,
        1.44705,
        1.42729,
        1.46183,
        1.45112,
        1.43598,
        1.44037,
        1.41259,
        1.43713,
        1.43682,
        1.43412,
        1.49273,
        1.47899,
        1.49746,
        1.49299,
        1.45708,
        1.48606,
        1.46349,
        1.47076,
        1.44436,
        1.47234,
        1.46966,
        1.42486,
        1.43573,
        1.44564,
        1.48752,
        1.46005,
        1.47714,
        1.46865,
        1.43217,
        1.40924,
        1.41232,
        1.47608,
        1.46295,
        1.43443,
        1.4594,
        1.42105,
        1.43601,
        1.42176,
        1.39339,
        1.41725,
        1.42194,
        1.43311,
        1.43333,
        1.43397,
        1.37867,
        1.39965,
        1.45741,
        1.49006,
        1.45602,
        1.4023,
        1.36695,
        1.34088,
        1.35219,
        1.39704,
        1.38223,
        1.36106,
        1.34561,
        1.40371,
        1.4184,
        1.38967,
        1.35623,
        1.38311,
        1.377,
        1.40296,
        1.37949,
        1.35314,
        1.40018,
        1.38127,
        1.38458,
        1.35774,
        1.35886,
        1.30377,
        1.33119,
        1.3332,
        1.36378,
        1.3198,
        1.35921,
        1.31059,
        1.3397,
        1.36841,
        1.35593,
        1.3821,
        1.36432,
        1.35718,
        1.34283,
        1.32347,
        1.328,
        1.34301,
        1.34878,
        1.33775,
        1.33174,
        1.30515,
        1.32928,
        1.37131,
        1.35222,
        1.34429,
        1.36829,
        1.38464,
        1.3604,
        1.36272,
        1.37469,
        1.35212,
        1.40093,
        1.39042,
        1.35619,
        1.35809,
        1.35524,
        1.38291,
        1.36812,
        1.35181,
        1.35196,
        1.30769,
        1.35269,
        1.37755,
        1.39555,
        1.41692,
        1.34311,
        1.31969,
        1.32732,
        1.34197,
        1.37682,
        1.37887,
        1.34714,
        1.29927,
        1.31061,
        1.29982,
        1.32142,
        1.33881,
        1.30606,
        1.34376,
        1.32243,
        1.33921,
        1.34982,
        1.33253,
        1.42296,
        1.4039,
        1.3604,
        1.24675,
        1.36487,
        1.48864,
        1.28218,
        1.38086,
        1.29969,
        1.32263,
        1.25566,
        1.31411,
        1.21812,
        1.25511,
        1.29088,
        1.27834,
        1.30496,
        1.26641,
        1.22573,
        1.25472,
        1.31969,
        1.37499,
        1.29467,
        1.31334,
        1.3157,
        1.31766,
        1.27007,
        1.24623,
        1.28274,
        1.23655,
        1.22229,
        1.10021,
        0.893528,
        0.799621,
        0.852276,
        1.00635,
        1.22328,
        1.28901,
        1.38854,
        1.3124,
        1.25804,
        1.49517,
        1.03881,
        1.15617,
        1.44686,
        1.26982,
        1.36225,
        1.36836,
        1.38654,
        1.45471,
        1.40087,
        1.40929,
        1.30894,
        1.31686,
        1.35238,
        1.3683,
        1.31509,
        1.28822,
        1.3181,
        1.36453,
        1.29752,
        1.29316,
        1.31544,
        1.3629,
        1.33417,
        1.28292,
        1.33531,
        1.31389,
        1.28165,
        1.32018,
        1.32165,
        1.3418,
        1.31252,
        1.30263,
        1.31148,
        1.29704,
        1.31596,
        1.2508,
        1.32436,
        1.35879,
        1.36709,
        1.35751,
        1.32232,
        1.35562,
        1.33697,
        1.33832,
        1.33616,
        1.34597,
        1.34198,
        1.32474,
        1.31453,
        1.3557,
        1.36993,
        1.37608,
        1.36806,
        1.35419,
        1.38888,
        1.39195,
        1.36056,
        1.31655,
        1.32955,
        1.33309,
        1.31459,
        1.35609,
        1.31679,
        1.33699,
        1.33958,
        1.29038,
        1.30037,
        1.34062,
        1.3141,
        1.3028,
        1.30444,
        1.32079,
        1.26752,
        1.27908,
        1.29104,
        1.3183,
        1.32102,
        1.32523,
        1.29301,
        1.30628,
        1.33847,
        1.28532,
        1.2714,
        1.28589,
        1.28598,
        1.28311,
        1.26471,
        1.27267,
        1.26713,
        1.29587,
        1.28066,
        1.2878,
        1.31145,
        1.2748,
        1.25939,
        1.26373,
        1.25532,
        1.28137,
        1.27863,
        1.29249,
        1.28248,
        1.22669,
        1.23106,
        1.21101,
        1.23718,
        1.28334,
        1.29441,
        1.23811,
        1.19601,
        1.23125,
        1.26745,
        1.28056,
        1.21576,
        1.20266,
        1.20448,
        1.24876,
        1.26033,
        1.24755,
        1.27448,
        1.26643,
        1.24282,
        1.25152,
        1.22253,
        1.22477,
        1.20104,
        1.20655,
        1.21432,
        1.26803,
        1.24787,
        1.20922,
        1.21155,
        1.24538,
        1.2468,
        1.25897,
        1.24753,
        1.20237,
        1.17223,
        1.20318,
        1.20865,
        1.2557,
        1.23701,
        1.26349,
        1.2469,
        1.25356,
        1.2666,
        1.25734,
        1.24197,
        1.23849,
        1.26773,
        1.28279,
        1.27154,
        1.26966,
        1.27048,
        1.2723,
        1.23038,
        1.31593,
        1.30215,
        1.28857,
        1.25798,
        1.30254,
        1.2525,
        1.28632,
        1.30834,
        1.25771,
        1.2012,
        1.26502,
        1.34932,
        1.33887,
        1.28668,
        1.24058,
        1.30139,
        1.33296,
        1.28876,
        1.28283,
        1.1798,
        1.0492,
        1.42734,
        1.60103,
        1.53365,
        1.2466,
        1.22201,
        1.32344,
        1.27511,
        1.1798,
        1.24833,
        1.24573,
        1.25856,
        1.29922,
        1.30787,
        1.24997,
        1.31302,
        1.33111,
        1.2623,
        1.22209,
        1.25986,
        1.26724,
        1.25462,
        1.33017,
        1.2762,
        1.25097,
        1.3012,
        1.29813,
        1.28706,
        1.28084,
        1.28215,
        1.30167,
        1.33136,
        1.2518,
        1.23604,
        1.26969,
        1.28497,
        1.27699,
        1.30939,
        1.29286,
        1.3058,
        1.30812,
        1.27194,
        1.2766,
        1.26457,
        1.2504,
        1.27436,
        1.2417,
        1.27186,
        1.27002,
        1.28515,
        1.24128,
        1.25824,
        1.27538,
        1.29297,
        1.28359,
        1.27317,
        1.29267,
        1.24611,
        1.23676,
        1.27374,
        1.28623,
        1.27269,
        1.26859,
        1.21583,
        1.2539,
        1.24704,
        1.22168,
        1.21516,
        1.21273,
        1.25753,
        1.26855,
        1.21804,
        1.20962,
        1.2662,
        1.1657,
        1.2093,
        1.2372,
        1.2354,
        1.21345,
        1.31196,
        1.27983,
        1.28365,
        1.23017,
        1.2812,
        1.27426,
        1.26546,
        1.24461,
        1.25379,
        1.27779,
        1.26792,
        1.2926,
        1.2621,
        1.22236,
        1.20449,
        1.23467,
        1.24682,
        1.24668,
        1.27309,
        1.24028,
        1.26371,
        1.21202,
        1.26365,
        1.24438,
        1.27282,
        1.25063,
        1.24328,
        1.21825,
        1.23475,
        1.22058,
        1.21271,
        1.23089,
        1.24113,
        1.19723,
        1.21193,
        1.18844,
        1.19149,
        1.25654,
        1.23636,
        1.21529,
        1.22495,
        1.18844,
        1.22184,
        1.23208,
        1.20213,
        1.21046,
        1.20616,
        1.20407,
        1.21525,
        1.26686,
        1.26479,
        1.28258,
        1.22926,
        1.21848,
        1.26372,
        1.25773,
        1.24776,
        1.24325,
        1.26641,
        1.22282,
        1.2599,
        1.2495,
        1.25927,
        1.27366,
        1.29776,
        1.27947,
        1.26061,
        1.28408,
        1.235,
        1.26805,
        1.2412,
        1.23722,
        1.24002,
        1.21516,
        1.25697,
        1.24786,
        1.2095,
        1.21958,
        1.21698,
        1.22521,
        1.21296,
        1.21244,
        1.268,
        1.23228,
        1.19807,
        1.18439,
        1.19918,
        1.18868,
        1.24756,
        1.23409,
        1.21472,
        1.21202,
        1.23961,
        1.20487,
        1.19043,
        1.22654,
        1.23283,
        1.22101,
        1.23814,
        1.22118,
        1.21978,
        1.17386,
        1.17614,
        1.19628,
        1.19341,
        1.22649,
        1.2292,
        1.18359,
        1.1909,
        1.21053,
        1.22939,
        1.19459,
        1.22549,
        1.23029,
        1.24757,
        1.26631,
        1.25444,
        1.21975,
        1.2344,
        1.2211,
        1.21701,
        1.22219,
        1.24347,
        1.23268,
        1.24603,
        1.26228,
        1.26825,
        1.24578,
        1.23202,
        1.22033,
        1.24604,
        1.24266,
        1.24829,
        1.24233,
        1.2575,
        1.27791,
        1.26811,
        1.26011,
        1.23414,
        1.23808,
        1.201,
        1.23087,
        1.25402,
        1.22172,
        1.21928,
        1.23653,
        1.20735,
        1.23124,
        1.24209,
        1.22661,
        1.22205,
        1.26209,
        1.26627,
        1.22107,
        1.26626,
        1.25138,
        1.23966,
        1.2651,
        1.27411,
        1.27131,
        1.22628,
        1.23934,
        1.23463,
        1.16195,
        1.21766,
        1.27516,
        1.26342,
        1.22985,
        1.25577,
        1.25431,
        1.23073,
        1.2699,
        1.26055,
        1.26177,
        1.22657,
        1.26136,
        1.30776,
        1.26298,
        1.2767,
        1.25921,
        1.23866,
        1.25063,
        1.21969,
        1.21628,
        1.23802,
        1.26574,
        1.26081,
        1.27533,
        1.26011,
        1.24657,
        1.23016,
        1.27976,
        1.23833,
        1.28435,
        1.2794,
        1.24801,
        1.21252,
        1.26536,
        1.2659,
        1.25605,
        1.25161,
        1.23278,
        1.23065,
        1.27054,
        1.26092,
        1.24656,
        1.25182,
        1.25845,
        1.26079,
        1.23499,
        1.24639,
        1.23864,
        1.21041,
        1.22024,
        1.22433,
        1.23352,
        1.26872,
        1.28947,
        1.22932,
        1.23456,
        1.20416,
        1.26313,
        1.23201,
        1.24441,
        1.22057,
        1.23446,
        1.25819,
        1.23552,
        1.22149,
        1.19012,
        1.22169,
        1.24647,
        1.18597,
        1.22626,
        1.20968,
        1.2278,
        1.20345,
        1.24872,
        1.23462,
        1.19719,
        1.26068,
        1.25747,
        1.22015,
        1.24171,
        1.26962,
        1.24769,
        1.18882,
        1.22484,
        1.2005,
        1.27343,
        1.22607,
        1.27555,
        1.27026,
        1.22662,
        1.2043,
        1.24289,
        1.23286,
        1.20595,
        1.14961,
        1.20618,
        1.26824,
        1.26479,
        1.24437,
        1.23526,
        1.25272,
        1.19655,
        1.24141,
        1.24919,
        1.21612,
        1.23835,
        1.27141,
        1.23131,
        1.19121,
        1.29711,
        1.27131,
        1.26538,
        1.22274,
        1.27846,
        1.31839,
        1.33781,
        1.24618,
        1.24752,
        1.26104,
        1.21028,
        1.25545,
        1.30685,
        1.2662,
        1.29884,
        1.28756,
        1.31168,
        1.2886,
        1.19819,
        1.20797,
        1.24296,
        1.24205,
        1.24102,
        1.28144,
        1.23528,
        1.26284,
        1.27307,
        1.31943,
        1.33293,
        1.32516,
        1.27436,
        1.27576,
        1.33903,
        1.3138,
        1.34162,
        1.32841,
        1.27099,
        1.23945,
        1.24584,
        1.21253,
        1.24243,
        1.24593,
        1.26542,
        1.28822,
        1.2449,
        1.2027,
        1.20597,
        1.20307,
        1.2409,
        1.21779,
        1.26604,
        1.23062,
        1.23347,
        1.24924,
        1.22983,
        1.25301,
        1.25113,
        1.26713,
        1.28242,
        1.28151,
        1.23343,
        1.24782,
        1.30845,
        1.30362,
        1.2402,
        1.28227,
        1.29299,
        1.26754,
        1.20853,
        1.25378,
        1.30154,
        1.22405,
        1.28356,
        1.25311,
        1.27903,
        1.30869,
        1.27969,
        1.25028,
        1.24844,
        1.24816,
        1.27789,
        1.26557,
        1.25779,
        1.27922,
        1.25512,
        1.28239,
        1.23861,
        1.23676,
        1.26765,
        1.23456,
        1.21346,
        1.25905,
        1.3065,
        1.23519,
        1.22571,
        1.24864,
        1.21077,
        1.23435,
        1.26799,
        1.282,
        1.26814,
        1.24891,
        1.26541,
        1.27928,
        1.2593,
        1.21273,
        1.2514,
        1.27703,
        1.22389,
        1.24844,
        1.22087,
        1.23244,
        1.25133,
        1.21898,
        1.2602,
        1.24614,
        1.22813,
        1.23154,
        1.24349,
        1.28286,
        1.28257,
        1.28603,
        1.28595,
        1.28052,
        1.28125,
        1.21607,
        1.24386,
        1.27282,
        1.2841,
        1.29114,
        1.27479,
        1.25196,
        1.28337,
        1.24403,
        1.28897,
        1.24877,
        1.25328,
        1.27735,
        1.2297,
        1.25254,
        1.25332,
        1.30292,
        1.2782,
        1.25856,
        1.30928,
        1.2947,
        1.30666,
        1.33762,
        1.3154,
        1.2638,
        1.28919,
        1.23946,
        1.30102,
        1.28473,
        1.21038,
        1.22593,
        1.25426,
        1.2258,
        1.2041,
        1.27455,
        1.27375,
        1.28854,
        1.25987,
        1.26827,
        1.30903,
        1.30025,
        1.29466,
        1.31509,
        1.30511,
        1.25378,
        1.25368,
        1.22792,
        1.19309,
        1.26159,
        1.26783,
        1.21495,
        1.25492,
        1.24275,
        1.2602,
        1.31265,
        1.19147,
        1.24522,
        1.24157,
        1.2523,
        1.2633,
        1.25735,
        1.26555,
        1.28851,
        1.27342,
        1.29121,
        1.29264,
        1.28214,
        1.27845,
        1.23206,
        1.2805,
        1.29915,
        1.28707,
        1.27949,
        1.29212,
        1.28359,
        1.30777,
        1.2779,
        1.28337,
        1.26666,
        1.32549,
        1.26713,
        1.26186,
        1.27474,
        1.23555,
        1.2711,
        1.23071,
        1.25346,
        1.28843,
        1.28919,
        1.30722,
        1.28473,
        1.26903,
        1.26293,
        1.26051,
        1.3332,
        1.28426,
        1.25677,
        1.32751,
        1.252,
        1.25292,
        1.21443,
        1.28285,
        1.27275,
        1.27471,
        1.25472,
        1.24337,
        1.27526,
        1.2602,
        1.32653,
        1.30748,
        1.31954,
        1.30584,
        1.31877,
        1.2873,
        1.29213,
        1.33703,
        1.24201,
        1.2568,
        1.26779,
        1.30979,
        1.32317,
        1.28475,
        1.2854,
        1.3224,
        1.33006,
        1.25451,
        1.26343,
        1.32975,
        1.26971,
        1.27071,
        1.2561,
        1.30392,
        1.29265,
        1.28006,
        1.30663,
        1.29439,
        1.30016,
        1.31176,
        1.29122,
        1.29331,
        1.25867,
        1.19986,
        1.22462,
        1.22474,
        1.28806,
        1.30451,
        1.31088,
        1.24746,
        1.20887,
        1.30004,
        1.32331,
        1.31659,
        1.26027,
        1.32165,
        1.29149,
        1.34855,
        1.28256,
        1.2585,
        1.23059,
        1.34557,
        1.28022,
        1.31855,
        1.25541,
        1.33738,
        1.36025,
        1.34639,
        1.31824,
        1.28864,
        1.28135,
        1.27426,
        1.27719,
        1.34216,
        1.29134,
        1.27364,
        1.33801,
        1.33787,
        1.30817,
        1.26416,
        1.31601,
        1.3286,
        1.29121,
        1.27184,
        1.32775,
        1.31226,
        1.25797,
        1.25293,
        1.29095,
        1.32134,
        1.30228,
        1.3227,
        1.36373,
        1.34281,
        1.18564,
        1.20358,
        1.39437,
        1.42138,
        1.30418,
        1.35142,
        1.41315,
        1.33243,
        1.34924,
        1.3618,
        1.40536,
        1.32982,
        1.24838,
        1.27322,
        1.31342,
        1.2535,
        1.34553,
        1.33439,
        1.32777,
        1.30715,
        1.21558,
        1.28019,
        1.24253,
        1.29803,
        1.30828,
        1.30109,
        1.28147,
        1.39657,
        1.32703,
        1.37359,
        1.35007,
        1.26113,
        1.3303,
        1.21592,
        1.33354,
        1.40036,
        1.13373,
        0.981405,
        0.916293,
        0.942655,
        1.54219,
        1.84351,
        1.33673,
        1.40695,
        1.30784,
        1.29085,
        1.27764,
        1.36778,
        1.32573,
        1.37801,
        1.31564,
        1.35507,
        1.37525,
        1.38076,
        1.31205,
        1.30276,
        1.28858,
        1.3249,
        1.34886,
        1.31216,
        1.25285,
        1.30333,
        1.27017,
        1.3592,
        1.31059,
        1.24978,
        1.28135,
        1.33107,
        1.26187,
        1.33548,
        1.35662,
        1.36785,
        1.38947,
        1.30156,
        1.27852,
        1.31125,
        1.25856,
        1.32578,
        1.27048,
        1.34416,
        1.32243,
        1.29746,
        1.27453,
        1.31693,
        1.27691,
        1.31472,
        1.29842,
        1.24659,
        1.25943,
        1.30472,
        1.35511,
        1.34584,
        1.28803,
        1.33486,
        1.28793,
        1.22695,
        1.33752,
        1.29092,
        1.26279,
        1.23733,
        1.27544,
        1.36595,
        1.24503,
        1.22909,
        1.30459,
        1.29732,
        1.27055,
        1.25439,
        1.218,
        1.26851,
        1.3393,
        1.37163,
        1.21086,
        1.28581,
        1.21241,
        1.19133,
        1.28076,
        1.23331,
        1.33275,
        1.28618,
        1.2684,
        1.25021,
        1.25104,
        1.24291,
        1.20865,
        1.27158,
        1.25328,
        1.27959,
        1.32434,
        1.27925,
        1.27,
        1.25022,
        1.23859,
        1.30282,
        1.24921,
        1.26778,
        1.17573,
        1.13181,
        1.2823,
        1.253,
        1.25943,
        1.19902,
        1.22981,
        1.24854,
        1.2784,
        1.22912,
        1.15513,
        1.10673,
        1.23319,
        1.20764,
        1.28447,
        1.18361,
        1.10564,
        1.2696,
        1.19604,
        1.2607,
        1.38696,
        1.20887,
        1.25427,
        1.26756,
        1.25874,
        1.22031,
        1.21721,
        1.16555,
        1.16463,
        1.24531,
        1.20131,
        1.19093,
        1.22479,
        1.39947,
        1.32318,
        1.33719,
        1.25429,
        1.26105,
        1.41537,
        1.21747,
        1.17695,
        1.39629,
        1.17378,
        1.34503,
        1.18417,
        1.14369,
        1.25305,
        null,
        1.27975,
        1.21919,
        1.25796,
        1.27817,
        1.23319,
        1.28722,
        1.2717,
        1.23348,
        1.25022,
        1.22207,
        1.22654,
        1.2667,
        1.24757,
        1.2531,
        1.25182,
        1.30031,
        1.29905,
        1.25711,
        1.17085,
        1.16856,
        1.24479,
        1.28436,
        1.30139,
        1.3255,
        1.37471,
        1.37047,
        1.3474,
        1.47283,
        1.25406,
        1.01246,
        1.36757,
        1.52212,
        1.68281,
        1.47362,
        1.43641,
        1.33226,
        1.15848,
        1.26257,
        1.35281,
        1.29865,
        1.29511,
        1.30944,
        1.39312,
        1.45244,
        1.42827,
        1.40588,
        1.31845,
        1.33912,
        1.34647,
        1.35606,
        1.37838,
        1.35226,
        1.36384,
        1.36737,
        1.34563,
        1.29453,
        1.34139,
        1.38287,
        1.29043,
        1.30713,
        1.34716,
        1.31934,
        1.30988,
        1.34951,
        1.3199,
        1.34406,
        1.32441,
        1.31782,
        1.35175,
        1.34673,
        1.33676,
        1.33406,
        1.28481,
        1.20178,
        1.10567,
        1.05998,
        1.10589,
        1.16392,
        1.36285,
        1.44899,
        1.36913,
        1.58738,
        1.49996,
        1.43311,
        1.36517,
        1.2754,
        1.32619,
        1.32098,
        1.27761,
        1.31211,
        1.28256,
        1.24993,
        1.34584,
        1.28767,
        1.22267,
        1.26751,
        1.29263,
        1.28157,
        1.30166,
        1.28523,
        1.23806,
        1.24457,
        1.21067,
        1.21836,
        1.23092,
        1.2587,
        1.25223,
        1.2714,
        1.27813,
        1.25452,
        1.26248,
        1.29174,
        1.30679,
        1.3039,
        1.2816,
        1.31892,
        1.33505,
        1.28298,
        1.30572,
        1.32744,
        1.29637,
        1.2825,
        1.28962,
        1.28103,
        1.30117,
        1.29034,
        1.29516,
        1.25375,
        1.27356,
        1.30552,
        1.27967,
        1.30194,
        1.30571,
        1.32663,
        1.28553,
        1.30935,
        1.3168,
        1.32149,
        1.36039,
        1.35509,
        1.33099,
        1.3037,
        1.3214,
        1.30311,
        1.27781,
        1.32203,
        1.31386,
        1.29447,
        1.29259,
        1.28923,
        1.30094,
        1.2879,
        1.28871,
        1.29584,
        1.30771,
        1.2959,
        1.30683,
        1.25089,
        1.25613,
        1.29314,
        1.29224,
        1.28695,
        1.2834,
        1.23597,
        1.2598,
        1.28419,
        1.26034,
        1.23858,
        1.24121,
        1.2358,
        1.2315,
        1.24174,
        1.23212,
        1.21615,
        1.23616,
        1.21865,
        1.21179,
        1.20805,
        1.2157,
        1.23205,
        1.21449,
        1.21525,
        1.23865,
        1.2127,
        1.2145,
        1.19954,
        1.22369,
        1.22019,
        1.19069,
        1.21274,
        1.21978,
        1.17565,
        1.21326,
        1.22251,
        1.24009,
        1.20416,
        1.17553,
        1.19871,
        1.19669,
        1.22833,
        1.19443,
        1.1708,
        1.17759,
        1.20056,
        1.19836,
        1.20881,
        1.21067,
        1.21683,
        1.21091,
        1.20338,
        1.18885,
        1.22822,
        1.17704,
        1.16155,
        1.18632,
        1.22062,
        1.24085,
        1.21024,
        1.2401,
        1.24172,
        1.19839,
        1.20226,
        1.18493,
        1.21528,
        1.25402,
        1.23775,
        1.23403,
        1.24791,
        1.26776,
        1.19432,
        1.23118,
        1.25019,
        1.19869,
        1.19024,
        1.24045,
        1.24804,
        1.20212,
        1.24576,
        1.25788,
        1.23979,
        1.2308,
        1.24525,
        1.2377,
        1.22529,
        1.2153,
        1.2614,
        1.27024,
        1.21991,
        1.20104,
        1.23596,
        1.22241,
        1.22432,
        1.24798,
        1.26217,
        1.24027,
        1.23732,
        1.23326,
        1.23798,
        1.25655,
        1.22169,
        1.23578,
        1.23374,
        1.20617,
        1.27522,
        1.26001,
        1.21433,
        1.24343,
        1.20064,
        1.20373,
        1.20984,
        1.21661,
        1.2353,
        1.20873,
        1.21829,
        1.22294,
        1.20904,
        1.26268,
        1.19076,
        1.19169,
        1.22601,
        1.26283,
        1.25663,
        1.23686,
        1.20414,
        1.19555,
        1.24037,
        1.21237,
        1.21268,
        1.19965,
        1.24394,
        1.22502,
        1.20809,
        1.19331,
        1.23872,
        1.26527,
        1.24167,
        1.22472,
        1.26055,
        1.24491,
        1.24929,
        1.24319,
        1.2351,
        1.29096,
        1.26721,
        1.231,
        1.26583,
        1.23641,
        1.25263,
        1.26368,
        1.24263,
        1.24155,
        1.2494,
        1.2467,
        1.23621,
        1.24828,
        1.23465,
        1.22354,
        1.23716,
        1.21856,
        1.24436,
        1.23539,
        1.24045,
        1.26788,
        1.26413,
        1.27052,
        1.24624,
        1.20888,
        1.22641,
        1.20668,
        1.21591,
        1.21966,
        1.26173,
        1.22862,
        1.20982,
        1.24546,
        1.28078,
        1.25398,
        1.20716,
        1.215,
        1.23902,
        1.25264,
        1.22044,
        1.19311,
        1.22021,
        1.23701,
        1.25308,
        1.1946,
        1.19291,
        1.2165,
        1.22659,
        1.21988,
        1.22882,
        1.21798,
        1.23253,
        1.20128,
        1.17346,
        1.20454,
        1.18441,
        1.22175,
        1.18047,
        1.17484,
        1.1929,
        1.17728,
        1.18496,
        1.22153,
        1.19687,
        1.20276,
        1.18982,
        1.19976,
        1.19511,
        1.19177,
        1.20478,
        1.24335,
        1.23689,
        1.20644,
        1.22658,
        1.26054,
        1.24159,
        1.22039,
        1.21634,
        1.1914,
        1.18843,
        1.21327,
        1.22015,
        1.20468,
        1.19404,
        1.19206,
        1.24675,
        1.23901,
        1.23896,
        1.19542,
        1.23781,
        1.24026,
        1.25616,
        1.20978,
        1.22073,
        1.24606,
        1.26105,
        1.25756,
        1.21882,
        1.23075,
        1.23507,
        1.2239,
        1.20568,
        1.21549,
        1.26694,
        1.27013,
        1.23062,
        1.25329,
        1.23843,
        1.25401,
        1.2621,
        1.25514,
        1.22892,
        1.2464,
        1.23331,
        1.27548,
        1.25581,
        1.25412,
        1.25339,
        1.25793,
        1.27107,
        1.29941,
        1.25796,
        1.25256,
        1.25884,
        1.27757,
        1.26196,
        1.22905,
        1.24924,
        1.26707,
        1.29743,
        1.23541,
        1.25009,
        1.26604,
        1.22514,
        1.23205,
        1.22854,
        1.26685,
        1.29573,
        1.31036,
        1.27771,
        1.19618,
        1.25593,
        1.1864,
        1.21401,
        1.20151,
        1.22023,
        1.25324,
        1.21166,
        1.21569,
        1.2567,
        1.25357,
        1.27858,
        1.27868,
        1.23946,
        1.24377,
        1.21544,
        1.18323,
        1.22371,
        1.24262,
        1.28397,
        1.24927,
        1.26809,
        1.24488,
        1.23211,
        1.28854,
        1.25084,
        1.28354,
        1.23565,
        1.28375,
        1.30385,
        1.28693,
        1.26343,
        1.23752,
        1.19558,
        1.20453,
        1.20815,
        1.22131,
        1.22971,
        1.2482,
        1.24608,
        1.21223,
        1.24532,
        1.20907,
        1.24748,
        1.2524,
        1.24435,
        1.27668,
        1.25467,
        1.24753,
        1.29199,
        1.18142,
        1.07499,
        1.04044,
        1.11966,
        1.20277,
        1.32149,
        1.18231,
        1.40827,
        1.52946,
        1.43605,
        1.253,
        1.25592,
        1.30444,
        1.31359,
        1.26212,
        1.25228,
        1.28125,
        1.24992,
        1.28803,
        1.36866,
        1.31855,
        1.26005,
        1.27116,
        1.26153,
        1.27998,
        1.28862,
        1.28575,
        1.24451,
        1.23057,
        1.22954,
        1.25702,
        1.27058,
        1.28296,
        1.23988,
        1.20635,
        1.23684,
        1.27004,
        1.27801,
        1.26255,
        1.26831,
        1.23295,
        1.2632,
        1.27509,
        1.25824,
        1.26568,
        1.25286,
        1.31105,
        1.30994,
        1.30492,
        1.2987,
        1.28937,
        1.29921,
        1.28436,
        1.22096,
        1.30063,
        1.29156,
        1.27729,
        1.2594,
        1.24344,
        1.27538,
        1.26995,
        1.29747,
        1.28993,
        1.28944,
        1.29228,
        1.27715,
        1.26695,
        1.29579,
        1.27104,
        1.25472,
        1.25377,
        1.25243,
        1.24669,
        1.27591,
        1.28354,
        1.28073,
        1.2949,
        1.17023,
        1.19543,
        1.2779,
        1.24221,
        1.25212,
        1.23731,
        1.24864,
        1.29077,
        1.23112,
        1.22172,
        1.27322,
        1.27093,
        1.23793,
        1.26063,
        1.29039,
        1.26393,
        1.28808,
        1.26335,
        1.24647,
        1.24993,
        1.20948,
        1.25061,
        1.22307,
        1.23777,
        1.22519,
        1.22731,
        1.2373,
        1.24738,
        1.25428,
        1.22033,
        1.22138,
        1.2331,
        1.23893,
        1.26109,
        1.20757,
        1.26011,
        1.25189,
        1.22026,
        1.24566,
        1.25892,
        1.20644,
        1.27158,
        1.29147,
        1.21637,
        1.243,
        1.26025,
        1.25515,
        1.27278,
        1.25487,
        1.22815,
        1.24923,
        1.24472,
        1.23596,
        1.25001,
        1.23287,
        1.20433,
        1.20696,
        1.23275,
        1.24639,
        1.21966,
        1.25754,
        1.22855,
        1.20471,
        1.20222,
        1.20509,
        1.22454,
        1.23078,
        1.20429,
        1.19867,
        1.22623,
        1.2384,
        1.19294,
        1.22051,
        1.21338,
        1.20348,
        1.23762,
        1.25229,
        1.19233,
        1.17569,
        1.19071,
        1.21005,
        1.28979,
        1.26449,
        1.21994,
        1.24067,
        1.17423,
        1.25418,
        1.28869,
        1.26057,
        1.21571,
        1.19061,
        1.27362,
        1.29464,
        1.25989,
        1.23209,
        1.24507,
        1.25421,
        1.24363,
        1.34116,
        1.32372,
        1.24993,
        1.20928,
        1.27086,
        1.21166,
        1.2335,
        1.27546,
        1.2776,
        1.29024,
        1.27425,
        1.25947,
        1.25021,
        1.26149,
        1.30067,
        1.26138,
        1.26346,
        1.25547,
        1.29084,
        1.21634,
        1.2341,
        1.27868,
        1.25603,
        1.23075,
        1.18536,
        1.18644,
        1.23561,
        1.2218,
        1.22523,
        1.20579,
        1.27165,
        1.24917,
        1.28005,
        1.23242,
        1.20084,
        1.2316,
        1.19709,
        1.20834,
        1.25931,
        1.21799,
        1.25918,
        1.28615,
        1.22129,
        1.26664,
        1.23819,
        1.26919,
        1.06655,
        1.10194,
        1.24106,
        1.26391,
        1.26461,
        1.16375,
        1.23674,
        1.15854,
        1.26699,
        1.252,
        1.32011,
        1.22126,
        1.26619,
        1.3192,
        1.22834,
        1.05877,
        1.00748,
        1.21694,
        1.38077,
        1.23155,
        1.36022,
        1.39172,
        1.22952,
        1.24305,
        1.33454,
        1.28801,
        1.12236,
        1.21633,
        1.19722,
        1.17361,
        1.22124,
        1.23419,
        1.23265,
        1.27972,
        1.30017,
        1.18514,
        1.15785,
        1.188,
        1.30899,
        1.29224,
        1.12796,
        1.20275,
        1.28224,
        1.31744,
        1.22386,
        1.22274,
        1.30818,
        1.28666,
        1.31482,
        1.27653,
        1.25791,
        1.19739,
        1.21606,
        1.18057,
        1.20066,
        1.27661,
        1.23839,
        1.25047,
        1.21306,
        1.16395,
        1.1964,
        1.16778,
        1.23532,
        1.26855,
        1.28418,
        1.21633,
        1.23737,
        1.20043,
        1.24371,
        1.26109,
        1.32984,
        1.29937,
        1.2211,
        1.26174,
        1.27205,
        1.25201,
        1.21848,
        1.19168,
        1.19374,
        1.17009,
        1.24661,
        1.24917,
        1.27417,
        1.20632,
        1.19089,
        1.20823,
        1.24664,
        1.27757,
        1.23076,
        1.20899,
        1.22808,
        1.20929,
        1.23698,
        1.2632,
        1.22423,
        1.24774,
        1.25598,
        1.26482,
        1.22016,
        1.26618,
        1.23646,
        1.26555,
        1.25382,
        1.22314,
        1.25829,
        1.26019,
        1.20393,
        1.26279,
        1.24138,
        1.25607,
        1.27424,
        1.23915,
        1.24371,
        1.24242,
        1.27882,
        1.26481,
        1.19105,
        1.24256,
        1.19485,
        1.21375,
        1.2137,
        1.24371,
        1.30462,
        1.28378,
        1.25636,
        1.23712,
        1.25741,
        1.25092,
        1.20679,
        1.24313,
        1.27748,
        1.26666,
        1.26223,
        1.2106,
        1.19512,
        1.19943,
        1.27114,
        1.24948,
        1.28061,
        1.26634,
        1.27227,
        1.28601,
        1.25208,
        1.22332,
        1.27297,
        1.28777,
        1.28604,
        1.2699,
        1.26637,
        1.30504,
        1.29936,
        1.27487,
        1.28395,
        1.2857,
        1.21954,
        1.24725,
        1.24301,
        1.31168,
        1.33071,
        1.28828,
        1.24289,
        1.25596,
        1.27309,
        1.25086,
        1.24065,
        1.31668,
        1.2803,
        1.27356,
        1.26521,
        1.23748,
        1.31237,
        1.32971,
        1.27254,
        1.28554,
        1.2929,
        1.28904,
        1.27554,
        1.28088,
        1.25653,
        1.26754,
        1.23595,
        1.21631,
        1.23424,
        1.22469,
        1.22188,
        1.26224,
        1.27097,
        1.2592,
        1.24749,
        1.24335,
        1.30591,
        1.25721,
        1.23465,
        1.28633,
        1.31812,
        1.25758,
        1.26566,
        1.29378,
        1.29142,
        1.2758,
        1.25626,
        1.21798,
        1.22656,
        1.24729,
        1.22106,
        1.26577,
        1.26589,
        1.24738,
        1.18401,
        1.18934,
        1.30173,
        1.2949,
        1.26654,
        1.27105,
        1.30301,
        1.32362,
        1.19205,
        1.1591,
        1.03951,
        1.02818,
        1.07723,
        1.34833,
        1.37812,
        1.6386,
        1.30471,
        1.44553,
        1.2845,
        1.25366,
        1.27553,
        1.27942,
        1.2675,
        1.20344,
        1.23143,
        1.25778,
        1.33377,
        1.32858,
        1.31055,
        1.28233,
        1.293,
        1.24773,
        1.19723,
        1.17013,
        1.21753,
        1.31543,
        1.29091,
        1.22585,
        1.21799,
        1.22065,
        1.28186,
        1.27456,
        1.28843,
        1.32073,
        1.27802,
        1.20474,
        1.25146,
        1.19088,
        1.23648,
        1.31043,
        1.31985,
        1.27308,
        1.26412,
        1.26939,
        1.32286,
        1.31344,
        1.30598,
        1.25906,
        1.28491,
        1.29564,
        1.28054,
        1.31718,
        1.32652,
        1.28524,
        1.24526,
        1.2723,
        1.29898,
        1.2712,
        1.28036,
        1.31768,
        1.27445,
        1.20984,
        1.18677,
        1.27245,
        1.31258,
        1.28637,
        1.26139,
        1.28273,
        1.31864,
        1.26104,
        1.23331,
        1.25251,
        1.23469,
        1.27361,
        1.26183,
        1.24104,
        1.25626,
        1.23004,
        1.27047,
        1.13217,
        1.22571,
        1.24636,
        1.27342,
        1.26096,
        1.16462,
        1.20687,
        1.16083,
        1.25071,
        1.18493,
        1.24163,
        1.2621,
        1.25898,
        1.23308,
        1.21417,
        1.20353,
        1.2235,
        1.23861,
        1.24077,
        1.21868,
        1.22542,
        1.19653,
        1.24094,
        1.19329,
        1.19557,
        1.25061,
        1.21417,
        1.2153,
        1.23765,
        1.21343,
        1.19139,
        1.18931,
        1.20765,
        1.23127,
        1.19901,
        1.20921,
        1.23505,
        1.25466,
        1.25374,
        1.24184,
        1.23256,
        1.22788,
        1.21876,
        1.23065,
        1.2386,
        1.25915,
        1.21613,
        1.22036,
        1.25044,
        1.21305,
        1.22226,
        1.22199,
        1.28182,
        1.31447,
        1.2445,
        1.20173,
        1.25805,
        1.21588,
        1.25728,
        1.28473,
        1.25396,
        1.18835,
        1.20376,
        1.2592,
        1.23009,
        1.22132,
        1.17947,
        1.16746,
        1.1761,
        1.2076,
        1.17027,
        1.1578,
        1.23426,
        1.23313,
        1.21145,
        1.19035,
        1.22995,
        1.22349,
        1.22651,
        1.19174,
        1.16291,
        1.15846,
        1.22349,
        1.16409,
        1.17013,
        1.16861,
        1.19194,
        1.21991,
        1.16655,
        1.1285,
        1.28217,
        1.17239,
        1.19749,
        1.18368,
        1.18553,
        1.20639,
        1.14056,
        1.10467,
        1.18095,
        1.16183,
        1.22003,
        1.16814,
        1.15621,
        1.24418,
        1.21243,
        1.22381,
        1.20225,
        1.26748,
        1.15119,
        1.14361,
        1.1949,
        1.25862,
        1.25141,
        1.23106,
        1.19501,
        1.18266,
        1.20153,
        1.22316,
        1.15832,
        1.17571,
        1.1972,
        1.1886,
        1.23811,
        1.22626,
        1.25689,
        1.26661,
        1.2194,
        1.18013,
        1.15312,
        1.18451,
        1.23841,
        1.21632,
        1.24875,
        1.194,
        1.21596,
        1.26829,
        1.23709,
        1.24561,
        1.25696,
        1.21275,
        1.2156,
        1.23045,
        1.20003,
        1.22594,
        1.25401,
        1.17575,
        1.22269,
        1.25608,
        1.23283,
        1.22581,
        1.21306,
        1.21768,
        1.28799,
        1.24054,
        1.24227,
        1.22892,
        1.25225,
        1.25558,
        1.19225,
        1.20199,
        1.28653,
        1.25844,
        1.22331,
        1.20508,
        1.18128,
        1.20274,
        1.19423,
        1.2309,
        1.24446,
        1.2067,
        1.22052,
        1.24546,
        1.27166,
        1.23274,
        1.15499,
        1.11074,
        1.19632,
        1.24213,
        1.30814,
        1.27666,
        1.24229,
        1.22252,
        1.19837,
        1.24056,
        1.15682,
        1.18738,
        1.11933,
        1.20231,
        1.22359,
        1.17563,
        1.1897,
        1.20941,
        1.19696,
        1.20491,
        1.21725,
        1.18713,
        1.21677,
        1.20132,
        1.18883,
        1.17385,
        1.19797,
        1.17768,
        1.26199,
        1.23397,
        1.22846,
        1.2048,
        1.17732,
        1.17874,
        1.24545,
        1.20106,
        1.2496,
        1.25065,
        1.18141,
        1.22177,
        1.19879,
        1.15532,
        1.20323,
        1.20589,
        1.21365,
        1.13956,
        1.25165,
        1.1659,
        1.15451,
        1.25947,
        1.19866,
        1.19873,
        1.22401,
        1.20613,
        1.27104,
        1.28099,
        1.28744,
        1.21579,
        1.22164,
        1.25761,
        1.23582,
        1.32866,
        1.32361,
        1.25323,
        1.21136,
        1.25609,
        1.26205,
        1.74028,
        1.21436,
        1.33691,
        1.31654,
        1.33558,
        1.28685,
        1.23535,
        1.31603,
        1.38677,
        1.25276,
        1.26311,
        1.29247,
        1.30701,
        1.27647,
        1.26388,
        1.26828,
        1.24387,
        1.21598,
        1.3023,
        1.21755,
        1.1879,
        1.23332,
        1.27687,
        1.25643,
        1.2724,
        1.25346,
        1.21368,
        1.23006,
        1.25108,
        1.20795,
        1.162,
        1.15062,
        1.26384,
        1.20651,
        1.22265,
        1.20043,
        1.22335,
        1.24623,
        1.23271,
        1.27174,
        1.22644,
        1.23805,
        1.2876,
        1.23892,
        1.23467,
        1.24443,
        1.24479,
        1.23351,
        1.21633,
        1.19322,
        1.19939,
        1.1498,
        1.20507,
        1.17594,
        1.16187,
        1.18326,
        1.21605,
        1.28254,
        1.26096,
        1.23671,
        1.23084,
        1.28054,
        1.32291,
        1.31002,
        1.26657,
        1.30202,
        1.55388,
        1.28137,
        1.32567,
        1.32304,
        1.31807,
        1.61007,
        1.3045,
        1.0957,
        1.13142,
        1.16016,
        1.3499,
        1.30218,
        1.28025,
        1.18948,
        1.35895,
        1.29954,
        1.30964,
        1.36717,
        1.24793,
        1.2624,
        1.23922,
        1.3178,
        1.32916,
        1.32666,
        1.33756,
        1.38465,
        1.29001,
        1.30477,
        1.25741,
        1.27832,
        1.23978,
        1.25198,
        1.25676,
        1.29722,
        1.24999,
        1.38027,
        1.30496,
        1.33381,
        1.32798,
        1.26974,
        1.30203,
        1.2886,
        1.33808,
        1.28828,
        1.2575,
        1.26071,
        1.22457,
        1.22064,
        1.21112,
        1.29558,
        1.27654,
        1.26591,
        1.27097,
        1.24023,
        1.30609,
        1.24083,
        1.21734,
        1.3044,
        1.28157,
        1.23074,
        1.2219,
        1.21536,
        1.249,
        1.21466,
        1.3232,
        1.28239,
        1.3026,
        1.30853,
        1.46106,
        1.34778,
        1.24151,
        1.26868,
        1.35707,
        1.32544,
        1.2977,
        1.30114,
        1.21863,
        1.29848,
        1.25196,
        1.32048,
        1.30284,
        1.30546,
        1.2353,
        1.32381,
        1.23182,
        1.23804,
        1.28455,
        1.31129,
        1.38762,
        1.39986,
        1.28714,
        1.32857,
        1.27764,
        1.29913,
        1.34195,
        1.30595,
        1.37195,
        1.31423,
        1.31072,
        1.30932,
        1.35248,
        1.25496,
        1.30687,
        1.41632,
        1.43248,
        1.36254,
        1.45711,
        1.41304,
        1.29204,
        1.20725,
        1.29798,
        1.30251,
        1.33126,
        1.33903,
        1.35532,
        1.32296,
        1.31567,
        1.29617,
        1.37278,
        1.31586,
        1.29068,
        1.37397,
        1.30365,
        1.28408,
        1.34789,
        1.44113,
        1.33705,
        1.35078,
        1.32458,
        1.35696,
        1.26209,
        1.1655,
        1.29304,
        1.26008,
        1.50443,
        1.1705,
        1.20721,
        1.3744,
        1.16551,
        1.19666,
        1.56044,
        1.30453,
        1.15289,
        1.29168,
        1.24596,
        1.31443,
        1.32953,
        1.26128,
        1.28658,
        1.28238,
        1.1806,
        1.20267,
        1.22863,
        1.28508,
        1.28362,
        1.28643,
        1.1972,
        1.15105,
        1.22082,
        1.2249,
        1.21533,
        1.24099,
        1.13284,
        1.23889,
        1.22,
        1.23888,
        1.28751,
        1.20443,
        1.24375,
        1.24315,
        1.23027,
        1.21268,
        1.29633,
        1.16798,
        1.07734,
        1.27306,
        1.19841,
        1.20894,
        1.23488,
        1.21829,
        1.2055,
        1.21001,
        1.22432,
        1.20536,
        1.28649,
        1.2492,
        1.27199,
        1.40813,
        1.29008,
        1.20869,
        1.20234,
        1.27656,
        1.20453,
        1.23625,
        1.23497,
        1.27422,
        1.27422,
        1.22682,
        1.16244,
        1.17719,
        1.2674,
        1.24599,
        1.2973,
        1.33225,
        1.34604,
        1.29334,
        1.25157,
        1.21172,
        1.23838,
        1.22837,
        1.32662,
        1.28615,
        1.18561,
        1.26449,
        1.22838,
        1.1566,
        1.19311,
        1.24732,
        1.26118,
        1.23387,
        1.27369,
        1.19698,
        1.27657,
        1.25063,
        1.16826,
        1.34547,
        1.23361,
        1.21185,
        1.30727,
        1.26616,
        1.24793,
        1.23547,
        1.27564,
        1.26589,
        1.28158,
        1.27254,
        1.26709,
        1.25664,
        1.20917,
        1.16002,
        1.21517,
        1.17796,
        1.19462,
        1.13932,
        1.17173,
        1.23916,
        1.22034,
        1.25115,
        1.24581,
        1.22176,
        1.21357,
        1.19725,
        1.20871,
        1.21181,
        1.23008,
        1.27235,
        1.28188,
        1.24881,
        1.24419,
        1.20067,
        1.26207,
        1.31141,
        1.25947,
        1.25798,
        1.17647,
        1.19772,
        1.20893,
        1.20806,
        1.13071,
        1.15446,
        1.38474,
        1.24399,
        1.22457,
        1.26226,
        1.24789,
        1.32747,
        1.38553,
        1.38279,
        1.25556,
        1.27938,
        1.28452,
        1.37682,
        1.30834,
        1.23036,
        1.32118,
        1.23112,
        1.14328,
        1.21198,
        1.26839,
        1.2356,
        1.22212,
        1.13384,
        1.16813,
        1.12205,
        1.14091,
        1.16132,
        1.2073,
        1.2447,
        1.12981,
        1.21104,
        1.29854,
        1.237,
        1.24435,
        1.2541,
        1.22007,
        1.15784,
        1.25532,
        1.18819,
        1.21078,
        1.1588,
        1.1937,
        1.18733,
        1.23408,
        1.15817,
        1.19543,
        1.16104,
        1.09431,
        1.03398,
        1.14112,
        1.23407,
        1.26961,
        1.23203,
        1.29312,
        1.26573,
        1.25678,
        1.19368,
        1.22961,
        1.17892,
        1.23205,
        1.21298,
        1.15704,
        1.25886,
        1.18947,
        1.18944,
        1.15185,
        1.15812,
        1.21836,
        1.20564,
        1.19799,
        1.20464,
        1.29046,
        1.1916,
        1.01999,
        1.11962,
        1.15508,
        1.33409,
        1.2372,
        1.09824,
        1.29481,
        1.13739,
        1.55844,
        1.48984,
        1.27842,
        1.24155,
        1.31944,
        1.28123,
        1.21528,
        1.31534,
        1.24676,
        1.26396,
        1.38009,
        1.41831,
        1.3288,
        1.21986,
        1.30748,
        1.29335,
        1.25088,
        1.21032,
        1.13495,
        1.23426,
        1.19128,
        1.21515,
        1.25937,
        1.25763,
        1.23886,
        1.26058,
        1.27554,
        1.16784,
        1.2306,
        1.21972,
        1.24901,
        1.19564,
        1.26374,
        1.32176,
        1.19836,
        1.24123,
        1.29066,
        1.25087,
        1.25109,
        1.21768,
        1.22485,
        1.22394,
        1.29004,
        1.26051,
        1.25604,
        1.32587,
        1.36312,
        1.24906,
        1.27034,
        1.28198,
        1.29125,
        1.31753,
        1.25763,
        1.27037,
        1.17306,
        1.26256,
        1.31979,
        1.2797,
        1.29247,
        1.20465,
        1.24523,
        1.30854,
        1.23674,
        1.23722,
        1.2826,
        1.26173,
        1.20621,
        1.26847,
        1.2588,
        1.26601,
        1.22556,
        1.28117,
        1.29174,
        1.20675,
        1.13562,
        1.27136,
        1.23684,
        1.34768,
        1.22081,
        1.26242,
        1.18858,
        1.23852,
        1.21457,
        1.25741,
        1.22796,
        1.25274,
        1.24676,
        1.24764,
        1.21517,
        1.17868,
        1.20651,
        1.29274,
        1.28748,
        1.35096,
        1.23045,
        1.14186,
        1.22204,
        1.27433,
        1.33366,
        1.3043,
        1.27098,
        1.23872,
        1.28499,
        1.22158,
        1.24149,
        1.30295,
        1.21401,
        1.29098,
        1.27224,
        1.36475,
        1.33079,
        1.18758,
        1.17982,
        1.19984,
        1.32931,
        1.35926,
        1.33429,
        1.31277,
        1.22947,
        1.25719,
        1.29287,
        1.27952,
        1.28661,
        1.35051,
        1.32238,
        1.32405,
        1.29365,
        1.30488,
        1.23571,
        1.2557,
        1.35822,
        1.27435,
        1.22456,
        1.32489,
        1.30641,
        1.27153,
        1.2831,
        1.27684,
        1.27479,
        1.30959,
        1.31945,
        1.32753,
        1.29963,
        1.22278,
        1.22203,
        1.29597,
        1.25559,
        1.24825,
        1.23693,
        1.24054,
        1.30812,
        1.37125,
        1.38888,
        1.41325,
        1.30969,
        1.29054,
        1.29235,
        1.31101,
        1.26277,
        1.35341,
        1.25359,
        1.31003,
        1.24596,
        1.3838,
        1.25803,
        1.2523,
        1.27773,
        1.27832,
        1.29528,
        1.15128,
        1.22137,
        1.1612,
        1.25001,
        1.25482,
        1.24514,
        1.27239,
        1.3284,
        1.19998,
        1.23628,
        1.32854,
        1.29002,
        1.44647,
        1.23597,
        1.47505,
        1.24759,
        1.24054,
        1.42987,
        1.41472,
        1.23125,
        1.30109,
        0.987712,
        1.06004,
        1.14565,
        1.20474,
        1.03349,
        1.13107,
        1.10812,
        1.34279,
        1.30634,
        1.39987,
        1.1777,
        1.28785,
        1.14874,
        1.21267,
        1.27056,
        1.18597,
        1.1934,
        1.17215,
        1.209,
        1.27352,
        1.32073,
        1.2898,
        1.2682,
        1.24712,
        1.17912,
        1.17447,
        1.23572,
        1.20374,
        1.15229,
        1.2484,
        1.20766,
        1.39204,
        1.44212,
        1.33279,
        1.17715,
        1.23863,
        1.33777,
        1.34216,
        1.33752,
        1.15797,
        1.44165,
        1.43465,
        1.40226,
        1.1857,
        1.17906,
        1.2481,
        1.23131,
        1.18346,
        1.23539,
        1.25081,
        1.29324,
        1.29957,
        1.25912,
        1.24878,
        1.25527,
        1.19567,
        1.29746,
        1.23744,
        1.21846,
        1.25564,
        1.18114,
        1.21351,
        1.21636,
        1.21137,
        1.19897,
        1.26942,
        1.29869,
        1.24409,
        1.27118,
        1.29227,
        1.35704,
        1.15733,
        1.06933,
        1.35645,
        1.10018,
        1.32247,
        1.27815,
        1.30742,
        1.22559,
        1.21631,
        1.21428,
        1.19101,
        1.24043,
        1.21265,
        1.26858,
        1.12515,
        1.09998,
        1.27178,
        1.49956,
        null,
        1.19205,
        1.18694,
        1.28145,
        1.25812,
        1.26131,
        1.2693,
        1.25703,
        1.28042,
        1.26229,
        1.22759,
        1.23282,
        1.22933,
        1.25758,
        1.22472,
        1.22016,
        1.22521,
        1.22577,
        1.22372,
        1.13652,
        1.1436,
        1.20469,
        1.20857,
        1.24639,
        1.20382,
        1.22982,
        1.22932,
        1.16767,
        1.18,
        1.18918,
        1.20962,
        1.2398,
        1.22637,
        1.20424,
        1.19985,
        1.21101,
        1.25377,
        1.27508,
        1.21657,
        1.17727,
        1.22024,
        1.28529,
        1.25391,
        1.2744,
        1.25186,
        1.23558,
        1.25331,
        1.27728,
        1.27222,
        1.16889,
        1.17141,
        1.23258,
        1.29841,
        1.30987,
        1.24688,
        1.26759,
        1.23562,
        1.20767,
        1.21109,
        1.19474,
        1.17721,
        1.21882,
        1.25924,
        1.23342,
        1.23357,
        1.25767,
        1.30762,
        1.29396,
        1.21479,
        1.24602,
        1.26814,
        1.32217,
        1.26037,
        1.20632,
        1.22714,
        1.28243,
        1.30088,
        1.25682,
        1.26323,
        1.28783,
        1.32632,
        1.26328,
        1.23857,
        1.25856,
        1.24017,
        1.2355,
        1.17796,
        1.20911,
        1.34198,
        1.31513,
        1.23244,
        1.22668,
        1.26208,
        1.17198,
        1.21188,
        1.27035,
        1.36543,
        1.33741,
        1.38121,
        1.34539,
        1.22739,
        1.12312,
        1.24446,
        1.33818,
        1.24069,
        1.23311,
        1.26944,
        1.31884,
        1.34604,
        1.29937,
        1.31886,
        1.27519,
        1.27311,
        1.30426,
        1.31516,
        1.31938,
        1.31926,
        1.22868,
        1.21729,
        1.2276,
        1.26065,
        1.20574,
        1.21106,
        1.22792,
        1.25553,
        1.2788,
        1.31056,
        1.28685,
        1.23569,
        1.23313,
        1.23271,
        1.24446,
        1.25449,
        1.24499,
        1.34055,
        1.27211,
        1.26268,
        1.26184,
        1.13813,
        1.09381,
        1.32266,
        1.26791,
        1.23436,
        1.29204,
        1.23706,
        1.26185,
        1.23673,
        1.24283,
        1.26549,
        1.20251,
        1.24475,
        1.2626,
        1.29346,
        1.36177,
        1.40249,
        1.3098,
        1.29443,
        1.361,
        1.44085,
        1.33802,
        1.44744,
        1.75619,
        1.52746,
        1.34724,
        1.36732,
        1.22406,
        1.31606,
        1.34983,
        1.28592,
        1.29035,
        1.32247,
        1.33815,
        1.34745,
        1.36697,
        1.35427,
        1.33514,
        1.40893,
        1.28805,
        1.28156,
        1.29786,
        1.38652,
        1.34483,
        1.38598,
        1.3498,
        1.2294,
        1.20779,
        1.28324,
        1.33229,
        1.3388,
        1.21731,
        1.24313,
        1.29127,
        1.29674,
        1.26462,
        1.28145,
        1.37152,
        1.30158,
        1.34196,
        1.31735,
        1.24944,
        1.28267,
        1.36138,
        1.44238,
        1.28732,
        1.36173,
        1.43508,
        1.36565,
        1.31957,
        1.34357,
        1.76772,
        1.59658,
        1.20241,
        1.31786,
        1.26678,
        1.13256,
        1.32009,
        1.31235,
        1.17474,
        1.21492,
        1.19819,
        1.23037,
        1.22406,
        1.31834,
        1.26741,
        1.2562,
        1.1826,
        1.22362,
        1.24371,
        1.3323,
        1.29203,
        1.25719,
        1.27871,
        1.2159,
        1.22707,
        1.30825,
        1.31313,
        1.36004,
        1.21195,
        1.18127,
        1.24753,
        1.24237,
        1.32192,
        1.29403,
        1.22649,
        1.27628,
        1.21195,
        1.18666,
        1.18895,
        1.25921,
        1.36648,
        1.39845,
        1.37952,
        1.27098,
        1.46267,
        1.40925,
        1.24104,
        1.22912,
        1.27068,
        1.18296,
        1.29529,
        1.28788,
        1.22771,
        1.2473,
        1.26264,
        1.29372,
        1.2016,
        1.30529,
        1.28968,
        1.24806,
        1.24241,
        1.23781,
        1.23541,
        1.30098,
        1.28556,
        1.23104,
        1.27688,
        1.29345,
        1.24212,
        1.30143,
        1.31294,
        1.32465,
        1.27034,
        1.30944,
        1.28322,
        1.23158,
        1.28175,
        1.24743,
        1.24716,
        1.2877,
        1.33502,
        1.32701,
        1.31434,
        1.26223,
        1.3031,
        1.23863,
        1.23535,
        1.24294,
        1.24175,
        1.28105,
        1.3148,
        1.24646,
        1.29236,
        1.27686,
        1.27531,
        1.28133,
        1.27147,
        1.28128,
        1.25112,
        1.26245,
        1.27088,
        1.16474,
        1.09643,
        1.23875,
        1.28801,
        1.2934,
        1.30177,
        1.25315,
        1.22152,
        1.22685,
        1.23085,
        1.27042,
        1.21568,
        1.28086,
        1.24343,
        1.209,
        1.23764,
        1.27193,
        1.27318,
        1.21268,
        1.22887,
        1.28557,
        1.24782,
        1.23375,
        1.21794,
        1.2666,
        1.26143,
        1.25123,
        1.24562,
        1.2646,
        1.23121,
        1.22071,
        1.24709,
        1.27625,
        1.28461,
        1.26674,
        1.23449,
        1.22429,
        1.22156,
        1.24031,
        1.244,
        1.25929,
        1.24154,
        1.30331,
        1.31367,
        1.21857,
        1.24719,
        1.30791,
        1.21259,
        1.24867,
        1.3582,
        1.35377,
        1.3259,
        1.20613,
        1.21938,
        1.19888,
        1.31794,
        1.30475,
        1.20249,
        1.30799,
        1.28955,
        1.27197,
        1.2216,
        1.23092,
        1.28275,
        1.22599,
        1.28989,
        1.27994,
        1.18878,
        1.16002,
        1.26111,
        1.26839,
        1.21637,
        1.22098,
        1.19988,
        1.21833,
        1.19986,
        1.22805,
        1.2619,
        1.22749,
        1.19482,
        1.25179,
        1.25799,
        1.17205,
        1.20965,
        1.23951,
        1.21161,
        1.20836,
        1.16207,
        1.17175,
        1.18491,
        1.19155,
        1.25694,
        1.25792,
        1.23743,
        1.19193,
        1.24158,
        1.22804,
        1.22543,
        1.21821,
        1.22152,
        1.24421,
        1.24636,
        1.21157,
        1.24801,
        1.25071,
        1.20827,
        1.17399,
        1.24109,
        1.24742,
        1.26328,
        1.24804,
        1.25031,
        1.22556,
        1.26667,
        1.26803,
        1.22914,
        1.22766,
        1.24267,
        1.21706,
        1.24811,
        1.21873,
        1.18759,
        1.2117,
        1.18908,
        1.22668,
        1.15947,
        1.22116,
        1.25085,
        1.21507,
        1.23415,
        1.2502,
        1.22969,
        1.25898,
        1.20467,
        1.22588,
        1.2241,
        1.1894,
        1.21039,
        1.20479,
        1.22809,
        1.26292,
        1.2019,
        1.25289,
        1.22807,
        1.24946,
        1.22256,
        1.24925,
        1.22355,
        1.21827,
        1.22962,
        1.20665,
        1.21616,
        1.18909,
        1.19884,
        1.20954,
        1.25129,
        1.19778,
        1.22015,
        1.19126,
        1.20144,
        1.20156,
        1.23375,
        1.20574,
        1.18784,
        1.22839,
        1.24762,
        1.16782,
        1.21814,
        1.2591,
        1.20125,
        1.25774,
        1.21961,
        1.20087,
        1.23329,
        1.23776,
        1.28569,
        1.25245,
        1.27813,
        1.27945,
        1.31318,
        1.29767,
        1.32941,
        1.2917,
        1.2855,
        1.23615,
        1.25239,
        1.27762,
        1.29868,
        1.29656,
        1.29444,
        1.2504,
        1.25101,
        1.28983,
        1.27791,
        1.26588,
        1.23595,
        1.263,
        1.24098,
        1.28264,
        1.29365,
        1.27766,
        1.29002,
        1.25742,
        1.3035,
        1.28006,
        1.27644,
        1.27637,
        1.19061,
        1.25528,
        1.24518,
        1.20434,
        1.23869,
        1.24756,
        1.30496,
        1.28353,
        1.27495,
        1.27477,
        1.25071,
        1.22036,
        1.26187,
        1.25661,
        1.28513,
        1.27478,
        1.29682,
        1.3042,
        1.29786,
        1.28699,
        1.29654,
        1.1974,
        1.27168,
        1.23499,
        1.20429,
        1.21023,
        1.24744,
        1.22459,
        1.2027,
        1.20665,
        1.28168,
        1.23015,
        1.17807,
        1.22365,
        1.36003,
        1.24407,
        1.26436,
        1.27163,
        1.18476,
        1.19828,
        1.38287,
        1.14048,
        1.43668,
        1.36522,
        1.37359,
        1.37104,
        1.34334,
        1.32928,
        1.41571,
        1.2831,
        1.26916,
        1.35481,
        1.35905,
        1.33395,
        1.28934,
        1.29298,
        1.27944,
        1.27537,
        1.26101,
        1.26587,
        1.28533,
        1.30149,
        1.29092,
        1.32723,
        1.29024,
        1.28408,
        1.25256,
        1.26846,
        1.30809,
        1.28004,
        1.29007,
        1.24057,
        1.28036,
        1.33705,
        1.32423,
        1.31225,
        1.33634,
        1.33251,
        1.2955,
        1.32393,
        1.28318,
        1.29473,
        1.2933,
        1.29471,
        1.29949,
        1.33192,
        1.31284,
        1.32302,
        1.33564,
        1.29315,
        1.30231,
        1.24334,
        1.29186,
        1.31831,
        1.30772,
        1.29768,
        1.30175,
        1.28795,
        1.25776,
        1.27665,
        1.27809,
        1.27816,
        1.27914,
        1.23572,
        1.24844,
        1.23425,
        1.21368,
        1.2269,
        1.22301,
        1.22918,
        1.27898,
        1.27588,
        1.23191,
        1.27027,
        1.24425,
        1.27784,
        1.24937,
        1.22178,
        1.2251,
        1.26374,
        1.23563,
        1.20034,
        1.23782,
        1.29098,
        1.24729,
        1.2253,
        1.21892,
        1.21384,
        1.25085,
        1.24804,
        1.25045,
        1.2653,
        1.21435,
        1.22617,
        1.23422,
        1.23491,
        1.19286,
        1.22764,
        1.22393,
        1.22168,
        1.23526,
        1.24773,
        1.21892,
        1.23972,
        1.25079,
        1.26551,
        1.22856,
        1.24568,
        1.21385,
        1.18306,
        1.20548,
        1.28776,
        1.20268,
        1.16252,
        1.16933,
        1.20513,
        1.21443,
        1.28422,
        1.27189,
        1.21545,
        1.24915,
        1.20304,
        1.23633,
        1.27822,
        1.24454,
        1.23676,
        1.24252,
        1.27727,
        1.28441,
        1.22922,
        1.20652,
        1.1934,
        1.2325,
        1.23753,
        1.20897,
        1.27156,
        1.23853,
        1.2207,
        1.2139,
        1.19043,
        1.27817,
        1.21171,
        1.22199,
        1.20315,
        1.13015,
        1.27484,
        1.26203,
        1.29103,
        1.31967,
        1.26617,
        1.15009,
        1.30713,
        1.19473,
        1.14771,
        1.23392,
        1.22882,
        1.22014,
        1.26885,
        1.2153,
        1.27822,
        1.21139,
        1.26758,
        1.18699,
        1.24099,
        1.21864,
        1.25802,
        1.25246,
        1.23044,
        1.25044,
        1.26663,
        1.30137,
        1.30198,
        1.26662,
        1.27267,
        1.25962,
        1.23551,
        1.2784,
        1.21937,
        1.25041,
        1.27297,
        1.28682,
        1.2744,
        1.23058,
        1.25722,
        1.28849,
        1.2863,
        1.28997,
        1.22815,
        1.2694,
        1.20026,
        1.26225,
        1.29819,
        1.26425,
        1.2481,
        1.25624,
        1.26522,
        1.19853,
        1.23322,
        1.23003,
        1.33661,
        1.31497,
        1.24216,
        1.19918,
        1.21131,
        1.2429,
        1.25573,
        1.25896,
        1.26897,
        1.25177,
        1.19307,
        1.2057,
        1.24838,
        1.27857,
        1.24897,
        1.25062,
        1.22972,
        1.24279,
        1.24125,
        1.28449,
        1.24655,
        1.24757,
        1.25224,
        1.20883,
        1.19353,
        1.25106,
        1.23926,
        1.21618,
        1.21831,
        1.20425,
        1.19187,
        1.18099,
        1.22923,
        1.26501,
        1.21258,
        1.19476,
        1.21883,
        1.21274,
        1.25277,
        1.31666,
        1.24611,
        1.21359,
        1.20882,
        1.3193,
        1.24262,
        1.23574,
        1.22514,
        1.24426,
        1.24567,
        1.24265,
        1.2476,
        1.25338,
        1.22143,
        1.25325,
        1.27718,
        1.1958,
        1.1724,
        1.2069,
        1.25632,
        1.28788,
        1.27605,
        1.23787,
        1.24786,
        1.27359,
        1.23177,
        1.19189,
        1.23153,
        1.23058,
        1.22612,
        1.23976,
        1.24536,
        1.28303,
        1.2486,
        1.24777,
        1.25544,
        1.28027,
        1.19592,
        1.20286,
        1.29452,
        1.32115,
        1.27037,
        1.23729,
        1.20093,
        1.21385,
        1.26581,
        1.31742,
        1.29073,
        1.251,
        1.2322,
        1.21909,
        1.2624,
        1.28739,
        1.25287,
        1.25044,
        1.21332,
        1.18089,
        1.21052,
        1.19213,
        1.24386,
        1.26409,
        1.22633,
        1.14388,
        1.23387,
        1.21468,
        1.23181,
        1.2464,
        1.19954,
        1.19155,
        1.16452,
        1.19633,
        1.25209,
        1.212,
        1.15263,
        1.23174,
        1.18137,
        1.27028,
        1.22828,
        1.20719,
        1.23304,
        1.17321,
        1.1706,
        1.21121,
        1.27514,
        1.21367,
        1.18534,
        1.27753,
        1.30776,
        1.24554,
        1.28878,
        1.26099,
        1.25153,
        1.28746,
        1.24917,
        1.25803,
        1.24724,
        1.17347,
        1.20305,
        1.25094,
        1.29495,
        1.30746,
        1.24001,
        1.24876,
        1.21208,
        1.21965,
        1.28159,
        1.25811,
        1.22909,
        1.23981,
        1.26971,
        1.2418,
        1.21804,
        1.2406,
        1.21988,
        1.25152,
        1.24022,
        1.20536,
        1.22594,
        1.22608,
        1.21528,
        1.25996,
        1.2531,
        1.19394,
        1.23934,
        1.19688,
        1.22792,
        1.2267,
        1.22072,
        1.24201,
        1.27883,
        1.23728,
        1.25846,
        1.27406,
        1.3045,
        1.29532,
        1.26388,
        1.26204,
        1.24297,
        1.27417,
        1.29186,
        1.25802,
        1.23052,
        1.3,
        1.2994,
        1.29984,
        1.2604,
        1.22741,
        1.28997,
        1.30502,
        1.2852,
        1.3184,
        1.30669,
        1.31352,
        1.30257,
        1.32707,
        1.30247,
        1.33735,
        1.29919,
        1.29774,
        1.27933,
        1.28101,
        1.32249,
        1.33947,
        1.31079,
        1.3431,
        1.34433,
        1.33525,
        1.26454,
        1.30415,
        1.34716,
        1.29038,
        1.2635,
        1.32911,
        1.32229,
        1.32376,
        1.29227,
        1.28795,
        1.24598,
        1.22858,
        1.26489,
        1.33427,
        1.25165,
        1.31049,
        1.25574,
        1.25023,
        1.28327,
        1.30388,
        1.30496,
        1.26758,
        1.23961,
        1.27457,
        1.23588,
        1.28427,
        1.25093,
        1.30854,
        1.30705,
        1.32635,
        1.28302,
        1.27025,
        1.35981,
        1.31657,
        1.33302,
        1.28454,
        1.20375,
        1.23739,
        1.2763,
        1.35026,
        1.23553,
        1.23494,
        1.25624,
        1.28969,
        1.34028,
        1.27091,
        1.33673,
        1.30629,
        1.09153,
        1.12257,
        1.49747,
        1.5213,
        1.36049,
        1.82896,
        1.45644,
        1.35041,
        1.20934,
        1.1287,
        1.42187,
        1.5361,
        1.1011,
        0.994687,
        1.15364,
        1.24228,
        1.22272,
        1.29251,
        1.30183,
        1.33953,
        1.15692,
        1.31392,
        1.31008,
        1.36165,
        1.26427,
        1.32261,
        1.28686,
        1.32399,
        1.28379,
        1.31605,
        1.25846,
        1.29724,
        1.13934,
        1.38405,
        1.33854,
        1.36363,
        1.35574,
        1.37528,
        1.29395,
        1.41446,
        1.48125,
        1.36756,
        1.23945,
        1.32409,
        1.33069,
        1.33037,
        1.31655,
        1.31945,
        1.2916,
        1.32572,
        1.38228,
        1.34534,
        1.3103,
        1.31285,
        1.33066,
        1.31138,
        1.21361,
        1.19408,
        1.24163,
        1.2501,
        1.24019,
        1.19437,
        1.25149,
        1.28203,
        1.27919,
        1.29981,
        1.24124,
        1.27031,
        1.29736,
        1.22802,
        1.22451,
        1.26979,
        1.28616,
        1.27531,
        1.23735,
        1.25914,
        1.26385,
        1.25508,
        1.24749,
        1.25253,
        1.2547,
        1.22863,
        1.25358,
        1.2266,
        1.20943,
        1.1953,
        1.21766,
        1.22688,
        1.19642,
        1.19789,
        1.20483,
        1.18907,
        1.21498,
        1.22374,
        1.24606,
        1.23427,
        1.22573,
        1.23604,
        1.22279,
        1.27584,
        1.31695,
        1.2889,
        1.29452,
        1.2492,
        1.2306,
        1.1939,
        1.24667,
        1.23306,
        1.21801,
        1.34548,
        1.18648,
        1.17358,
        1.15945,
        1.33145,
        1.28669,
        1.2174,
        1.29414,
        1.25248,
        1.25474,
        1.2407,
        1.31997,
        1.17388,
        1.34571,
        1.32022,
        1.31799,
        1.46931,
        1.33736,
        1.35006,
        1.85443,
        1.73665,
        1.37554,
        1.41348,
        1.29649,
        1.38106,
        1.21855,
        1.16837,
        1.24481,
        1.20813,
        1.28921,
        1.17421,
        1.24354,
        1.26139,
        1.23294,
        1.20402,
        1.15555,
        1.10529,
        1.10434,
        1.19005,
        1.17634,
        1.14798,
        1.20711,
        1.23555,
        1.22704,
        1.2164,
        1.26068,
        1.19184,
        1.22182,
        1.25535,
        1.19576,
        1.19771,
        1.16226,
        1.17352,
        1.15763,
        1.20992,
        1.2695,
        1.28359,
        1.2075,
        1.19433,
        1.18223,
        1.1803,
        1.21688,
        1.14651,
        1.29139,
        1.31443,
        1.23385,
        1.27978,
        1.33551,
        1.26107,
        1.30768,
        1.25319,
        1.27458,
        1.31597,
        1.32281,
        1.26496,
        1.22547,
        1.26619,
        1.17057,
        1.30981,
        1.27711,
        1.19133,
        1.24776,
        1.22166,
        1.32939,
        1.29303,
        1.28371,
        1.31397,
        1.22419,
        1.19763,
        1.25241,
        1.16933,
        1.32062,
        1.20166,
        1.2754,
        1.25006,
        1.26185,
        1.30867,
        1.21958,
        1.36015,
        1.33051,
        1.2981,
        1.25567,
        1.28081,
        1.25642,
        1.275,
        1.24953,
        1.22147,
        1.28858,
        1.28696,
        1.21443,
        1.36051,
        1.21141,
        1.24209,
        1.35089,
        1.29512,
        1.25058,
        1.20819,
        1.2433,
        1.21101,
        1.24483,
        1.27877,
        1.22399,
        1.27156,
        1.26843,
        1.25496,
        1.25075,
        1.20718,
        1.22142,
        1.21658,
        1.22608,
        1.28638,
        1.24093,
        1.2484,
        1.24381,
        1.23497,
        1.21382,
        1.24896,
        1.26406,
        1.2943,
        1.13952,
        1.20845,
        1.21195,
        1.22799,
        1.2323,
        1.24833,
        1.21999,
        1.18711,
        1.24456,
        1.23239,
        1.24745,
        1.23808,
        1.21019,
        1.2522,
        1.22296,
        1.25581,
        1.21594,
        1.21558,
        1.19007,
        1.15048,
        1.20244,
        1.25557,
        1.31959,
        1.26568,
        1.20955,
        1.19103,
        1.23028,
        1.27689,
        1.26395,
        1.2787,
        1.22294,
        1.21006,
        1.22405,
        1.29902,
        1.31566,
        1.30431,
        1.24937,
        1.24374,
        1.25078,
        1.27017,
        1.26619,
        1.24361,
        1.25228,
        1.24098,
        1.27129,
        1.28474,
        1.2321,
        1.21532,
        1.25315,
        1.20304,
        1.26656,
        1.26235,
        1.25486,
        1.22758,
        1.23696,
        1.27981,
        1.24654,
        1.23158,
        1.17666,
        1.20448,
        1.18123,
        1.24636,
        1.24787,
        1.26035,
        1.21815,
        1.14494,
        1.18859,
        1.18287,
        1.28451,
        1.28012,
        1.27502,
        1.20371,
        1.17466,
        1.16004,
        1.20701,
        1.26538,
        1.30833,
        1.20773,
        1.23754,
        1.26773,
        1.28395,
        1.26802,
        1.23062,
        1.19848,
        1.21509,
        1.22018,
        1.2823,
        1.26848,
        1.23053,
        1.27446,
        1.23025,
        1.20919,
        1.24166,
        1.23395,
        1.25998,
        1.29257,
        1.26584,
        1.30413,
        1.27542,
        1.25001,
        1.19678,
        1.21836,
        1.19478,
        1.25072,
        1.25157,
        1.18182,
        1.21088,
        1.31027,
        1.25755,
        1.26784,
        1.26659,
        1.23594,
        1.25847,
        1.17995,
        1.20741,
        1.21517,
        1.22437,
        1.2337,
        1.16577,
        1.17099,
        1.26462,
        1.30124,
        1.25961,
        1.25561,
        1.22183,
        1.20467,
        1.18803,
        1.20388,
        1.21925,
        1.23131,
        1.26288,
        1.27275,
        1.22736,
        1.26123,
        1.27855,
        1.31254,
        1.21531,
        1.17293,
        1.2644,
        1.21357,
        1.25913,
        1.20824,
        1.28525,
        1.25224,
        1.2194,
        1.2606,
        1.26935,
        1.23593,
        1.33182,
        1.29112,
        1.35101,
        1.22291,
        1.25271,
        1.3091,
        1.31607,
        1.25464,
        1.21821,
        1.27044,
        1.34489,
        1.31118,
        1.33175,
        1.32328,
        1.35692,
        1.25737,
        1.27686,
        1.32676,
        1.32239,
        1.30891,
        1.36001,
        1.26221,
        1.34458,
        1.24975,
        1.333,
        1.35988,
        1.29586,
        1.25751,
        1.32707,
        1.3961,
        1.34964,
        1.28388,
        1.29932,
        1.32123,
        1.32583,
        1.25517,
        1.24471,
        1.25922,
        1.21221,
        1.29097,
        1.31253,
        1.28986,
        1.2942,
        1.24248,
        1.28537,
        1.31335,
        1.30151,
        1.25786,
        1.19002,
        1.22907,
        1.31106,
        1.28619,
        1.28989,
        1.27887,
        1.19898,
        1.2857,
        1.28671,
        1.25145,
        1.23549,
        1.26523,
        1.28439,
        1.29,
        1.28884,
        1.3217,
        1.27403,
        1.22619,
        1.28781,
        1.25343,
        1.26682,
        1.2753,
        1.23679,
        1.18029,
        1.27421,
        1.25142,
        1.22092,
        1.20617,
        1.29886,
        1.28726,
        1.26149,
        1.14055,
        1.22187,
        1.2385,
        1.23704,
        1.19283,
        1.15524,
        1.08386,
        1.17612,
        1.2428,
        1.30312,
        1.29942,
        1.34003,
        1.394,
        1.35596,
        1.21398,
        1.37049,
        1.23636,
        1.39355,
        1.38113,
        1.36265,
        1.46363,
        1.38618,
        1.46287,
        1.34376,
        1.33107,
        1.26021,
        1.3377,
        1.33846,
        1.3796,
        1.29172,
        1.2974,
        1.33146,
        1.26815,
        1.26863,
        1.31959,
        1.31329,
        1.3016,
        1.27932,
        1.23087,
        1.33151,
        1.28275,
        1.24487,
        1.24915,
        1.27688,
        1.27265,
        1.25842,
        1.35043,
        1.32822,
        1.32521,
        1.29979,
        1.35267,
        1.34141,
        1.33629,
        1.27915,
        1.34161,
        1.36735,
        1.31784,
        1.27449,
        1.3516,
        1.32896,
        1.24414,
        1.23654,
        1.34208,
        1.31298,
        1.30859,
        1.35013,
        1.3216,
        1.2931,
        1.28323,
        1.25498,
        1.2625,
        1.28561,
        1.29482,
        1.27303,
        1.25822,
        1.34242,
        1.32251,
        1.28335,
        1.24384,
        1.27343,
        1.24278,
        1.23764,
        1.23348,
        1.20449,
        1.28734,
        1.22946,
        1.24013,
        1.25766,
        1.22219,
        1.20275,
        1.21785,
        1.23863,
        1.2431,
        1.21675,
        1.22628,
        1.19727,
        1.16317,
        1.27281,
        1.32712,
        1.23623,
        1.33238,
        1.31856,
        1.13507,
        1.33684,
        1.36169,
        1.2604,
        1.23098,
        1.30153,
        1.27333,
        1.35464,
        1.23974,
        1.26521,
        1.22567,
        1.24986,
        1.26703,
        1.322,
        1.18663,
        1.23706,
        1.24961,
        1.22024,
        1.13981,
        1.26295,
        1.2673,
        1.20853,
        1.16044,
        1.18404,
        1.15328,
        1.22244,
        1.17523,
        1.21834,
        1.19203,
        1.18268,
        1.21606,
        1.23202,
        1.11603,
        1.20177,
        1.20409,
        1.26551,
        1.18343,
        1.14436,
        1.19447,
        1.25701,
        1.23935,
        1.22421,
        1.15578,
        1.18894,
        1.25628,
        1.20897,
        1.20917,
        1.17219,
        1.19033,
        1.1843,
        1.19153,
        1.20434,
        1.20354,
        1.22647,
        1.17422,
        1.1484,
        1.2174,
        1.21982,
        1.25395,
        1.24647,
        1.21567,
        1.21235,
        1.28611,
        1.27691,
        1.21006,
        1.22937,
        1.24395,
        1.24839,
        1.19061,
        1.21519,
        1.2573,
        1.24505,
        1.17435,
        1.22676,
        1.24007,
        1.25272,
        1.15897,
        1.1668,
        1.21506,
        1.27705,
        1.22551,
        1.23776,
        1.19536,
        1.16863,
        1.26795,
        1.23612,
        1.20772,
        1.25254,
        1.25218,
        1.2641,
        1.18255,
        1.23854,
        1.19796,
        1.27986,
        1.25227,
        1.1952,
        1.23066,
        1.22505,
        1.20559,
        1.24703,
        1.24708,
        1.19868,
        1.21476,
        1.16046,
        1.19839,
        1.26011,
        1.26869,
        1.24691,
        1.28152,
        1.28248,
        1.18438,
        1.25773,
        1.30171,
        1.11691,
        1.1784,
        1.17897,
        1.11152,
        1.14673,
        1.22163,
        1.20682,
        1.26461,
        1.20186,
        1.1506,
        1.21119,
        1.24462,
        1.19011,
        1.28938,
        1.29312,
        1.23957,
        1.11286,
        1.2227,
        1.165,
        1.18382,
        1.25352,
        1.26073,
        1.23284,
        1.17903,
        1.18801,
        1.17776,
        1.13958,
        1.23603,
        1.22747,
        1.22944,
        1.253,
        1.19859,
        1.22536,
        1.24242,
        1.15819,
        1.17424,
        1.17013,
        1.31255,
        1.2658,
        1.26225,
        1.2144,
        1.27276,
        1.20374,
        1.18934,
        1.27714,
        1.33115,
        1.20785,
        1.26888,
        1.31498,
        1.21191,
        1.14657,
        1.24502,
        1.26152,
        1.25757,
        1.27113,
        1.32432,
        1.20943,
        1.20743,
        1.29941,
        1.31936,
        1.25081,
        1.26336,
        1.20842,
        1.23194,
        1.28872,
        1.27135,
        1.2546,
        1.26926,
        1.29266,
        1.23936,
        1.20362,
        1.24392,
        1.23849,
        1.27014,
        1.21033,
        1.2154,
        1.19963,
        1.20871,
        1.245,
        1.26275,
        1.21206,
        1.14214,
        1.31193,
        1.4162,
        1.20661,
        1.1983,
        1.21578,
        1.25796,
        1.2757,
        1.20793,
        1.2595,
        1.16446,
        1.3516,
        1.19627,
        1.18081,
        1.26233,
        1.26964,
        1.35492,
        1.26516,
        1.30505,
        1.32169,
        1.26161,
        1.2255,
        1.19841,
        1.24898,
        1.2598,
        1.3036,
        1.26153,
        1.15092,
        1.20236,
        1.24805,
        1.19537,
        1.21093,
        1.19483,
        1.24581,
        1.20234,
        1.28789,
        1.24833,
        1.23298,
        1.25825,
        1.19358,
        1.0987,
        1.20832,
        1.10476,
        1.33013,
        1.17618,
        1.37586,
        0.978097,
        1.24479,
        1.15772,
        1.21529,
        1.27328,
        1.33348,
        1.19915,
        1.09881,
        1.42483,
        1.24563,
        1.50746,
        1.3378,
        1.51653,
        1.4993,
        1.41989,
        1.07801,
        1.26502,
        1.27549,
        1.40394,
        1.19429,
        1.35255,
        1.23007,
        1.16709,
        1.22556,
        1.26464,
        1.14577,
        1.31392,
        1.31725,
        1.37109,
        1.25681,
        1.25783,
        1.29479,
        1.33502,
        1.15987,
        1.20967,
        1.24033,
        1.31143,
        1.40612,
        1.22604,
        1.29075,
        1.2248,
        1.27003,
        1.1827,
        1.14814,
        1.2619,
        1.15131,
        1.17503,
        1.27013,
        1.22748,
        1.25019,
        1.19732,
        1.22424,
        1.26044,
        1.15491,
        1.22739,
        1.20703,
        1.29641,
        1.19831,
        1.14191,
        1.20267,
        1.26667,
        1.2707,
        1.21608,
        1.17787,
        1.23818,
        1.2782,
        1.23358,
        1.2211,
        1.25276,
        1.34662,
        1.31306,
        1.3023,
        1.24029,
        1.18239,
        1.3529,
        1.25794,
        1.17048,
        1.18568,
        1.26744,
        1.20827,
        1.18456,
        1.20811,
        1.27197,
        1.11883,
        1.13655,
        1.168,
        1.18191,
        1.19813,
        1.24967,
        1.16574,
        1.37239,
        1.26888,
        1.21448,
        1.20924,
        1.20297,
        1.29236,
        null,
        1.17871,
        1.18574,
        1.25092,
        1.2822,
        1.24547,
        1.25546,
        1.20929,
        1.22013,
        1.31653,
        1.26371,
        1.19675,
        1.24896,
        1.27817,
        1.2778,
        1.29206,
        1.24743,
        1.2559,
        1.28847,
        1.29002,
        1.23865,
        1.21292,
        1.13897,
        1.15358,
        1.25879,
        1.23708,
        1.29885,
        1.29805,
        1.18591,
        1.28054,
        1.256,
        1.25357,
        1.22018,
        1.20599,
        1.2755,
        1.20128,
        1.17085,
        1.28864,
        1.37037,
        1.30222,
        1.19136,
        1.18521,
        1.06448,
        1.27445,
        1.46344,
        1.31541,
        1.51503,
        1.52269,
        1.42545,
        1.35057,
        1.22808,
        1.22791,
        1.22709,
        1.18319,
        1.28456,
        1.33671,
        1.33924,
        1.28072,
        1.20503,
        1.21765,
        1.24255,
        1.28848,
        1.27848,
        1.21759,
        1.26349,
        1.25505,
        1.24405,
        1.2031,
        1.21131,
        1.32925,
        1.29233,
        1.21839,
        1.19671,
        1.25745,
        1.29142,
        1.30182,
        1.33287,
        1.30683,
        1.29297,
        1.289,
        1.23516,
        1.16661,
        1.21415,
        1.29507,
        1.2561,
        1.25026,
        1.24548,
        1.26003,
        1.26229,
        1.24434,
        1.23783,
        1.23906,
        1.23056,
        1.23312,
        1.23246,
        1.24048,
        1.28258,
        1.30008,
        1.31618,
        1.28046,
        1.23913,
        1.23104,
        1.25062,
        1.25061,
        1.24567,
        1.24223,
        1.25268,
        1.28384,
        1.27464,
        1.24197,
        1.25393,
        1.26157,
        1.25874,
        1.27891,
        1.25056,
        1.24834,
        1.24601,
        1.22978,
        1.21802,
        1.18342,
        1.20752,
        1.22931,
        1.24543,
        1.27666,
        1.24785,
        1.20932,
        1.15962,
        1.19139,
        1.18807,
        1.18884,
        1.20963,
        1.20141,
        1.2101,
        1.20759,
        1.18778,
        1.16892,
        1.17612,
        1.22019,
        1.21877,
        1.20195,
        1.2089,
        1.21182,
        1.20815,
        1.20467,
        1.17669,
        1.23206,
        1.26531,
        1.21373,
        1.21045,
        1.26227,
        1.22304,
        1.17651,
        1.20738,
        1.25756,
        1.18994,
        1.18119,
        1.17654,
        1.15102,
        1.19041,
        1.19501,
        1.15373,
        1.20959,
        1.23443,
        1.15714,
        1.13582,
        1.22468,
        1.27398,
        1.21673,
        1.15896,
        1.18666,
        1.14827,
        1.16002,
        1.21597,
        1.20288,
        1.18959,
        1.22221,
        1.23223,
        1.24247,
        1.25535,
        1.21684,
        1.23722,
        1.27237,
        1.21214,
        1.18348,
        1.25064,
        1.27475,
        1.24984,
        1.24199,
        1.24794,
        1.20947,
        1.19557,
        1.21411,
        1.29594,
        1.31071,
        1.30489,
        1.30203,
        1.31743,
        1.28509,
        1.26587,
        1.2136,
        1.25724,
        1.29029,
        1.29733,
        1.26768,
        1.26196,
        1.27184,
        1.25251,
        1.20869,
        1.25247,
        1.28862,
        1.31345,
        1.26463,
        1.24224,
        1.25567,
        1.24011,
        1.24379,
        1.24014,
        1.26584,
        1.25641,
        1.25218,
        1.28467,
        1.24496,
        1.27533,
        1.28307,
        1.27123,
        1.32734,
        1.28643,
        1.29782,
        1.27889,
        1.22752,
        1.23676,
        1.33183,
        1.28163,
        1.24933,
        1.2404,
        1.26045,
        1.2641,
        1.32237,
        1.33215,
        1.31317,
        1.2486,
        1.24196,
        1.26166,
        1.26778,
        1.25515,
        1.27686,
        1.24991,
        1.22258,
        1.25187,
        1.28309,
        1.25848,
        1.25918,
        1.26674,
        1.29899,
        1.27522,
        1.26931,
        1.31302,
        1.24807,
        1.26789,
        1.3672,
        1.28223,
        1.2904,
        1.31918,
        1.30054,
        1.28686,
        1.2888,
        1.29198,
        1.26944,
        1.34331,
        1.2941,
        1.22091,
        1.33402,
        1.39282,
        1.36962,
        1.30025,
        1.26785,
        1.31781,
        1.30845,
        1.3512,
        1.30476,
        1.30371,
        1.29741,
        1.24272,
        1.22271,
        1.14694,
        1.25071,
        1.29315,
        1.24583,
        1.21187,
        1.24418,
        1.30492,
        1.1918,
        1.18934,
        1.29144,
        1.29323,
        1.27403,
        1.20841,
        1.22877,
        1.22084,
        1.24991,
        1.28921,
        1.31985,
        1.3375,
        1.75395,
        1.66741,
        1.37697,
        1.47882,
        1.3849,
        1.38627,
        1.39186,
        1.35891,
        1.278,
        1.34549,
        1.32846,
        1.33692,
        1.31081,
        1.33203,
        1.32492,
        1.30483,
        1.35527,
        1.30345,
        1.31757,
        1.33565,
        1.33393,
        1.3104,
        1.34107,
        1.35414,
        1.3012,
        1.29607,
        1.34072,
        1.25613,
        1.25898,
        1.3115,
        1.33693,
        1.32935,
        1.26152,
        1.31711,
        1.36627,
        1.39487,
        1.34932,
        1.27145,
        1.30946,
        1.28173,
        1.29292,
        1.34985,
        1.35484,
        1.28707,
        1.2771,
        1.24165,
        1.30598,
        1.25024,
        1.21254,
        1.26951,
        1.34056,
        1.29939,
        1.28467,
        1.2742,
        1.29765,
        1.31765,
        1.29582,
        1.28383,
        1.28697,
        1.23852,
        1.22474,
        1.23815,
        1.2582,
        1.19799,
        1.2354,
        1.30343,
        1.25547,
        1.26502,
        1.20231,
        1.22379,
        1.2916,
        1.28858,
        1.24647,
        1.26517,
        1.25601,
        1.24097,
        1.19828,
        1.20071,
        1.29145,
        1.34037,
        1.33413,
        1.32485,
        1.27641,
        1.27139,
        1.337,
        1.26977,
        1.2449,
        1.32157,
        1.3428,
        1.34398,
        1.25013,
        1.30585,
        1.32268,
        1.34054,
        1.28664,
        1.16369,
        1.1281,
        1.21679,
        1.31982,
        1.24892,
        1.30226,
        1.21421,
        1.23231,
        1.23703,
        1.23226,
        1.2824,
        1.26478,
        1.34078,
        1.32392,
        1.32982,
        1.35073,
        1.27687,
        1.36466,
        1.28844,
        1.22737,
        1.25324,
        1.31046,
        1.11914,
        1.20701,
        1.34905,
        1.33367,
        1.56006,
        1.27554,
        1.37919,
        1.43279,
        1.27533,
        1.28362,
        1.38558,
        1.2717,
        1.15504,
        1.30271,
        1.44704,
        1.33556,
        1.16984,
        1.28156,
        1.25337,
        1.14443,
        1.04331,
        1.16835,
        1.29378,
        1.2248,
        1.39406,
        1.20232,
        1.20968,
        1.41113,
        1.50676,
        1.59637,
        1.61576,
        1.68272,
        1.17639,
        1.07378,
        1.22496,
        1.22126,
        1.22788,
        1.27108,
        1.29948,
        1.2587,
        1.32058,
        1.3777,
        1.24718,
        1.27303,
        1.30715,
        1.2944,
        1.25926,
        1.24076,
        1.29988,
        1.26507,
        1.2957,
        1.25848,
        1.28055,
        1.27958,
        1.30246,
        1.32065,
        1.26759,
        1.26855,
        1.28578,
        1.25975,
        1.2436,
        1.2638,
        1.3032,
        1.26103,
        1.2733,
        1.27831,
        1.2435,
        1.26312,
        1.27646,
        1.21722,
        1.18816,
        1.18969,
        1.30846,
        1.29926,
        1.24863,
        1.19251,
        1.24301,
        1.23716,
        1.23259,
        1.26885,
        1.28576,
        1.29794,
        1.26991,
        1.26982,
        1.26593,
        1.29219,
        1.25128,
        1.26676,
        1.25685,
        1.25131,
        1.25617,
        1.25022,
        1.28075,
        1.28094,
        1.19791,
        1.26007,
        1.20034,
        1.22399,
        1.29116,
        1.24814,
        1.23381,
        1.24958,
        1.23789,
        1.21763,
        1.24018,
        1.22302,
        1.28636,
        1.26746,
        1.24007,
        1.22768,
        1.20349,
        1.19785,
        1.2572,
        1.29021,
        1.28944,
        1.27895,
        1.29722,
        1.29816,
        1.23876,
        1.2345,
        1.26123,
        1.25911,
        1.26325,
        1.25008,
        1.25606,
        1.24692,
        1.2573,
        1.2233,
        1.19586,
        1.16603,
        1.16239,
        1.11466,
        1.13414,
        1.20649,
        1.23426,
        1.15739,
        1.19285,
        1.22394,
        1.23394,
        1.24033,
        1.20205,
        1.18751,
        1.25555,
        1.26609,
        1.26678,
        1.20583,
        1.24008,
        1.23913,
        1.23243,
        1.20224,
        1.2401,
        1.23106,
        1.22575,
        1.22663,
        1.19014,
        1.24913,
        1.25201,
        1.3023,
        1.24394,
        1.16192,
        1.24507,
        1.22573,
        1.22107,
        1.21807,
        1.24419,
        1.27848,
        1.23983,
        1.2366,
        1.25393,
        1.21754,
        1.20011,
        1.23399,
        1.21536,
        1.19127,
        1.24752,
        1.22719,
        1.25538,
        1.24972,
        1.23193,
        1.22451,
        1.22084,
        1.28199,
        1.23047,
        1.21731,
        1.20676,
        1.2176,
        1.21123,
        1.17924,
        1.22605,
        1.23839,
        1.2287,
        1.24285,
        1.22501,
        1.16373,
        1.18234,
        1.14178,
        1.13743,
        1.25014,
        1.22663,
        1.24257,
        1.18582,
        1.20184,
        1.23097,
        1.23346,
        1.25511,
        1.22372,
        1.26207,
        1.281,
        1.33526,
        1.25698,
        1.25375,
        1.21783,
        1.1941,
        1.2223,
        1.29143,
        1.22677,
        1.22975,
        1.25274,
        1.20856,
        1.21079,
        1.20547,
        1.21245,
        1.20774,
        1.22965,
        1.27206,
        1.28353,
        1.24392,
        1.22302,
        1.16119,
        1.22249,
        1.21291,
        1.23578,
        1.26295,
        1.28276,
        1.23407,
        1.21915,
        1.21183,
        1.26337,
        1.27108,
        1.26318,
        1.256,
        1.27258,
        1.24247,
        1.20385,
        1.22129,
        1.25019,
        1.21043,
        1.22873,
        1.27309,
        1.22609,
        1.2183,
        1.25842,
        1.2664,
        1.28305,
        1.30721,
        1.21373,
        1.23725,
        1.32882,
        1.30507,
        1.27124,
        1.2799,
        1.29586,
        1.28109,
        1.28539,
        1.29879,
        1.28243,
        1.3173,
        1.35098,
        1.34263,
        1.3502,
        1.33634,
        1.31,
        1.33598,
        1.30097,
        1.34199,
        1.34731,
        1.30412,
        1.33706,
        1.31836,
        1.30915,
        1.30477,
        1.34247,
        1.37493,
        1.34436,
        1.32225,
        1.30435,
        1.2936,
        1.30256,
        1.30768,
        1.31018,
        1.28637,
        1.26861,
        1.28975,
        1.37236,
        1.34079,
        1.35976,
        1.29217,
        1.28542,
        1.3316,
        1.3775,
        1.39006,
        1.33032,
        1.3085,
        1.31546,
        1.34987,
        1.35971,
        1.37458,
        1.32822,
        1.33816,
        1.30288,
        1.37248,
        1.33415,
        1.36006,
        1.38172,
        1.31327,
        1.25697,
        1.23898,
        1.24818,
        1.25735,
        1.28348,
        1.28122,
        1.24383,
        1.22771,
        1.25151,
        1.26345,
        1.28037,
        1.36957,
        1.3787,
        1.32255,
        1.31961,
        1.34206,
        1.40217,
        1.45903,
        1.46511,
        1.32776,
        1.54051,
        1.49567,
        1.47025,
        1.23935,
        1.47787,
        1.37899,
        1.4608,
        1.32377,
        1.3105,
        1.39272,
        1.35344,
        1.39184,
        1.38969,
        1.39366,
        1.36492,
        1.27586,
        1.30098,
        1.27547,
        1.26507,
        1.44649,
        1.26904,
        1.3944,
        1.37017,
        1.29503,
        1.37108,
        1.35187,
        1.48064,
        1.35353,
        1.31724,
        1.14085,
        1.529,
        1.40873,
        1.70268,
        1.53235,
        1.99598,
        1.33353,
        1.56792,
        1.27361,
        1.23484,
        1.28112,
        1.25918,
        1.34691,
        1.3649,
        1.24737,
        1.31125,
        1.2618,
        1.27867,
        1.28965,
        1.22268,
        1.25213,
        1.09801,
        1.13186,
        1.23526,
        1.12578,
        1.19735,
        1.23843,
        1.24953,
        1.27282,
        1.27082,
        1.26747,
        1.17269,
        1.17012,
        1.23707,
        1.15724,
        1.32804,
        1.31424,
        1.34934,
        1.24776,
        1.25054,
        1.19864,
        1.22962,
        1.26761,
        1.33475,
        1.23185,
        1.27287,
        1.33073,
        1.1885,
        1.27244,
        1.22613,
        1.2648,
        1.27819,
        1.27809,
        1.19293,
        1.16369,
        1.19648,
        1.28063,
        1.25657,
        1.26093,
        1.22804,
        1.18285,
        1.22117,
        1.1817,
        1.14096,
        1.18607,
        1.41444,
        1.37793,
        1.26362,
        1.25233,
        1.25445,
        1.22577,
        1.24117,
        1.22851,
        1.22312,
        1.25193,
        1.17922,
        1.19029,
        1.20592,
        1.25246,
        1.25564,
        1.26796,
        1.24376,
        1.29006,
        1.22806,
        1.2346,
        1.2623,
        1.20904,
        1.24659,
        1.23087,
        1.21227,
        1.26936,
        1.25847,
        1.21549,
        1.2909,
        1.27095,
        1.33716,
        1.25127,
        1.17617,
        1.21778,
        1.28837,
        1.27289,
        1.27718,
        1.32072,
        1.2645,
        1.28796,
        1.23086,
        1.18367,
        1.21348,
        1.23629,
        1.21521,
        1.14242,
        1.16347,
        1.15865,
        1.16615,
        1.21323,
        1.17784,
        1.25154,
        1.16298,
        1.2502,
        1.21479,
        1.18569,
        1.30382,
        1.34473,
        1.26005,
        1.14966,
        1.24562,
        1.0469,
        1.26056,
        1.19615,
        1.33171,
        1.18034,
        1.15169,
        1.16017,
        1.32232,
        1.26873,
        1.19769,
        1.2455,
        1.39269,
        1.24388,
        1.2256,
        1.28741,
        1.18962,
        1.19091,
        1.23435,
        1.20601,
        1.28365,
        1.23649,
        1.29567,
        1.27706,
        1.20158,
        1.1626,
        1.14133,
        1.20499,
        1.22817,
        1.2524,
        1.2208,
        1.24906,
        1.17106,
        1.19433,
        1.23653,
        1.21104,
        1.19868,
        1.21764,
        1.19268,
        1.21861,
        1.28277,
        1.2316,
        1.26567,
        1.2726,
        1.26347,
        1.14666,
        1.30325,
        1.31134,
        1.2654,
        1.22093,
        1.2203,
        1.22887,
        1.25354,
        1.21738,
        1.23418,
        1.24919,
        1.24568,
        1.23402,
        1.29708,
        1.30592,
        1.24691,
        1.22174,
        1.23184,
        1.2922,
        1.21839,
        1.20312,
        1.26753,
        1.24921,
        1.27975,
        1.2423,
        1.23384,
        1.30052,
        1.2687,
        1.31271,
        1.22225,
        1.23039,
        1.30555,
        1.23853,
        1.2493,
        1.26184,
        1.25808,
        1.28519,
        1.26421,
        1.29546,
        1.19698,
        1.2235,
        1.24791,
        1.2397,
        1.28492,
        1.27167,
        1.28309,
        1.3118,
        1.25179,
        1.23727,
        1.16637,
        1.23881,
        1.28006,
        1.21556,
        1.22684,
        1.25818,
        1.31241,
        1.24418,
        1.21017,
        1.33851,
        1.28138,
        1.26624,
        1.29442,
        1.31773,
        1.22292,
        1.26503,
        1.24036,
        1.1782,
        1.25225,
        1.29579,
        1.24631,
        1.20487,
        1.21818,
        1.25292,
        1.31722,
        1.23105,
        1.1895,
        1.20395,
        1.35328,
        1.25151,
        1.35602,
        1.38075,
        1.33738,
        1.19084,
        1.09687,
        1.17182,
        1.24199,
        1.13093,
        1.06116,
        1.16906,
        1.39733,
        1.80583,
        1.51855,
        1.37275,
        1.31412,
        1.33108,
        1.26737,
        1.40865,
        1.3543,
        1.17212,
        1.16029,
        1.21725,
        1.31405,
        1.2587,
        1.26701,
        1.18939,
        1.13961,
        1.11357,
        1.17384,
        1.20934,
        1.21888,
        1.15591,
        1.2678,
        1.34898,
        1.23157,
        1.35268,
        1.23173,
        1.31534,
        1.32839,
        1.44043,
        1.39377,
        1.56404,
        1.63028,
        1.31315,
        1.18711,
        1.39063,
        1.42748,
        1.39836,
        1.40577,
        1.36649,
        1.28271,
        1.38468,
        1.29213,
        1.3347,
        1.30624,
        1.24229,
        1.25812,
        1.37027,
        1.33427,
        1.31522,
        1.29314,
        1.35502,
        1.31596,
        1.29302,
        1.30681,
        1.31794,
        1.27992,
        1.26757,
        1.23825,
        1.31757,
        1.2858,
        1.27242,
        1.32468,
        1.28538,
        1.34301,
        1.33121,
        1.28969,
        1.27359,
        1.27562,
        1.30219,
        1.26845,
        1.24524,
        1.23329,
        1.16474,
        1.232,
        1.27848,
        1.22872,
        1.28273,
        1.32368,
        1.29249,
        1.33091,
        1.27918,
        1.23846,
        1.30166,
        1.26939,
        1.2818,
        1.31788,
        1.3269,
        1.31131,
        1.25755,
        1.25547,
        1.25996,
        1.24995,
        1.25669,
        1.22351,
        1.24675,
        1.24001,
        1.27118,
        1.33215,
        1.28755,
        1.30028,
        1.35188,
        1.20943,
        1.29767,
        1.29138,
        1.30396,
        1.36589,
        1.38109,
        1.36227,
        1.40715,
        1.37832,
        1.29256,
        1.25109,
        1.31026,
        1.54863,
        1.38295,
        1.399,
        1.28502,
        1.36439,
        1.25571,
        1.18669,
        1.26948,
        1.34868,
        1.35222,
        1.30563,
        1.28223,
        1.28677,
        1.31406,
        1.30019,
        1.33983,
        1.27554,
        1.3277,
        1.32429,
        1.3019,
        1.31562,
        1.29218,
        1.29317,
        1.29038,
        1.28553,
        1.27832,
        1.37216,
        1.31779,
        1.27339,
        1.21861,
        1.24283,
        1.26655,
        1.2985,
        1.30617,
        1.32578,
        1.2946,
        1.40668,
        1.34744,
        1.31689,
        1.32807,
        1.35433,
        1.31733,
        1.32227,
        1.32758,
        1.30699,
        1.33855,
        1.31282,
        1.31111,
        1.26585,
        1.32091,
        1.38523,
        1.32056,
        1.24803,
        1.27397,
        1.19804,
        1.25253,
        1.30123,
        1.28452,
        1.33361,
        1.30118,
        1.28816,
        1.31278,
        1.30245,
        1.28719,
        1.33275,
        1.2699,
        1.22684,
        1.25447,
        1.34679,
        1.32512,
        1.2921,
        1.29614,
        1.23872,
        1.30122,
        1.24095,
        1.30331,
        1.27768,
        1.30924,
        1.3147,
        1.27647,
        1.27863,
        1.27883,
        1.27492,
        1.3007,
        1.27488,
        1.24583,
        1.28218,
        1.20739,
        1.21879,
        1.26146,
        1.21577,
        1.23826,
        1.29531,
        1.32508,
        1.1901,
        1.10652,
        1.14197,
        1.35732,
        1.67266,
        1.74548,
        1.40293,
        1.07524,
        1.27394,
        1.29035,
        1.32612,
        1.12014,
        1.17946,
        1.18756,
        1.25141,
        1.16905,
        1.22936,
        1.27266,
        1.29711,
        1.29522,
        1.2061,
        1.25314,
        1.291,
        1.24892,
        1.26691,
        1.30892,
        1.30032,
        1.30003,
        1.29223,
        1.24516,
        1.25735,
        1.2331,
        1.22027,
        1.28091,
        1.25342,
        1.27837,
        1.27592,
        1.25664,
        1.21327,
        1.21481,
        1.26287,
        1.27153,
        1.23265,
        1.25395,
        1.2964,
        1.25925,
        1.28722,
        1.24839,
        1.29074,
        1.2888,
        1.19883,
        1.24423,
        1.31644,
        1.33139,
        1.27274,
        1.25654,
        1.26271,
        1.25783,
        1.29112,
        1.29087,
        1.21834,
        1.25098,
        1.33808,
        1.23964,
        1.20148,
        1.18975,
        1.2045,
        1.25976,
        1.2686,
        1.21525,
        1.31118,
        1.18771,
        1.16906,
        1.27409,
        1.19694,
        1.33911,
        1.29611,
        1.21709,
        1.21671,
        1.2943,
        1.21419,
        1.18085,
        1.26181,
        1.22887,
        1.2494,
        1.23094,
        1.25584,
        1.32471,
        1.27075,
        1.22056,
        1.21789,
        1.23247,
        1.2377,
        1.22485,
        1.20573,
        1.28087,
        1.21379,
        1.29041,
        1.28001,
        1.26618,
        1.22143,
        1.34719,
        1.31177,
        1.20736,
        1.22079,
        1.25149,
        1.24311,
        1.21375,
        1.24389,
        1.24382,
        1.24529,
        1.29316,
        1.22057,
        1.24546,
        1.18604,
        1.2327,
        1.22212,
        1.23195,
        1.20951,
        1.24049,
        1.31165,
        1.2651,
        1.24031,
        1.27855,
        1.25726,
        1.17303,
        1.20734,
        1.25362,
        1.24267,
        1.23395,
        1.2179,
        1.2508,
        1.26303,
        1.24324,
        1.22716,
        1.27353,
        1.24948,
        1.26452,
        1.22974,
        1.23249,
        1.27589,
        1.20759,
        1.25186,
        1.3031,
        1.2487,
        1.24884,
        1.27639,
        1.20636,
        1.23178,
        1.25928,
        1.20161,
        1.24116,
        1.24732,
        1.29261,
        1.26279,
        1.2106,
        1.24594,
        1.23001,
        1.27434,
        1.27373,
        1.2604,
        1.17116,
        1.22678,
        1.31821,
        1.27887,
        1.18467,
        1.24259,
        1.194,
        1.17482,
        1.16032,
        1.21671,
        1.2655,
        1.29472,
        1.27663,
        1.22039,
        1.21068,
        1.23619,
        1.28487,
        1.26627,
        1.19043,
        1.2887,
        1.33353,
        1.19539,
        1.01448,
        1.26269,
        1.25198,
        1.12478,
        1.2574,
        1.15036,
        1.39218,
        1.18791,
        1.26002,
        1.18814,
        1.01656,
        1.24041,
        1.17947,
        1.36474,
        1.22169,
        1.28,
        1.19064,
        1.25805,
        1.22476,
        1.22734,
        1.3045,
        1.24185,
        1.26607,
        1.28871,
        1.2162,
        1.22261,
        1.26929,
        1.23227,
        1.27237,
        1.24619,
        1.28705,
        1.24266,
        1.24759,
        1.23076,
        1.22934,
        1.14941,
        1.25703,
        1.21754,
        1.19978,
        1.27984,
        1.27618,
        1.21497,
        1.19256,
        1.20932,
        1.18402,
        1.18042,
        1.24092,
        1.2558,
        1.17111,
        1.19945,
        1.21008,
        1.20327,
        1.20052,
        1.24491,
        1.20589,
        1.23068,
        1.18286,
        1.21533,
        1.26162,
        1.23123,
        1.22935,
        1.29402,
        1.25048,
        1.25637,
        1.22951,
        1.29583,
        1.23097,
        1.25913,
        1.23925,
        1.26667,
        1.18093,
        1.19306,
        1.18615,
        1.27356,
        1.168,
        1.09078,
        1.14226,
        1.32761,
        1.30645,
        1.27167,
        1.18397,
        1.18938,
        1.20544,
        1.2726,
        1.24897,
        1.21421,
        1.22752,
        1.19397,
        1.17513,
        1.22579,
        1.19986,
        1.17167,
        1.18678,
        1.22105,
        1.15191,
        1.14831,
        1.24468,
        1.13561,
        1.16359,
        1.24208,
        1.31133,
        1.25101,
        1.22586,
        1.28944,
        1.27084,
        1.22503,
        1.19903,
        1.2749,
        1.20237,
        1.19715,
        1.16681,
        1.2327,
        1.22955,
        1.127,
        1.24,
        1.23509,
        1.26927,
        1.26399,
        1.26481,
        1.18933,
        1.15937,
        1.23586,
        1.19661,
        1.15954,
        1.16023,
        1.24306,
        1.22548,
        1.20124,
        1.19932,
        1.18871,
        1.14482,
        1.16919,
        1.21295,
        1.21442,
        1.22568,
        1.14115,
        1.18711,
        1.20182,
        1.16622,
        1.17725,
        1.23022,
        1.22602,
        1.25352,
        1.22636,
        1.2469,
        1.1911,
        1.22726,
        1.22426,
        1.24279,
        1.21237,
        1.27985,
        1.30866,
        1.24232,
        1.26609,
        1.29391,
        1.27966,
        1.33778,
        1.27554,
        1.25718,
        1.23348,
        1.25132,
        1.27146,
        1.23023,
        1.28943,
        1.27387,
        1.30992,
        1.34009,
        1.24109,
        1.31308,
        1.30223,
        1.23999,
        1.24255,
        1.26887,
        1.32029,
        1.30402,
        1.27467,
        1.23716,
        1.3189,
        1.29683,
        1.31568,
        1.24401,
        1.23452,
        1.32623,
        1.28511,
        1.30576,
        1.45591,
        1.29249,
        1.42332,
        1.21186,
        1.20844,
        1.32335,
        1.22769,
        1.3205,
        1.25013,
        1.19752,
        0.963783,
        1.18225,
        1.02704,
        1.44223,
        1.17699,
        1.37199,
        1.22685,
        1.2284,
        1.36542,
        1.19917,
        1.22676,
        1.18543,
        1.21947,
        1.25802,
        1.32364,
        1.16164,
        1.22646,
        1.14519,
        1.12811,
        1.26661,
        1.32775,
        1.322,
        1.35912,
        1.29554,
        1.27798,
        1.30923,
        1.22737,
        1.44906,
        1.29532,
        1.2023,
        1.2716,
        1.25432,
        1.27922,
        1.38252,
        1.36366,
        1.17357,
        1.52335,
        1.90791,
        1.50548,
        1.79039,
        1.50166,
        1.6017,
        1.67592,
        1.29137,
        1.36302,
        1.17952,
        1.31718,
        1.457,
        1.45056,
        1.38371,
        1.3698,
        1.45501,
        1.53469,
        1.2453,
        1.34705,
        1.34876,
        1.41977,
        1.47251,
        1.38459,
        1.35358,
        1.39282,
        1.32229,
        1.33438,
        1.36777,
        1.49814,
        1.37136,
        1.33446,
        1.34484,
        1.31929,
        1.3652,
        1.36533,
        1.3129,
        1.25012,
        1.23059,
        1.33211,
        1.36508,
        1.37609,
        1.38198,
        1.33902,
        1.28649,
        1.30211,
        1.28026,
        1.25682,
        1.28641,
        1.21416,
        1.20537,
        1.31991,
        1.37844,
        1.33398,
        1.22002,
        1.21679,
        1.19986,
        1.24978,
        1.27683,
        1.32243,
        1.33816,
        1.32272,
        1.18515,
        1.22932,
        1.29389,
        1.23787,
        1.22047,
        1.20906,
        1.24887,
        1.20962,
        1.27768,
        1.22182,
        1.24591,
        1.26434,
        1.23826,
        1.24617,
        1.13166,
        1.16086,
        1.17529,
        1.2512,
        1.35432,
        1.23157,
        1.30413,
        1.28326,
        1.33476,
        1.14542,
        1.33671,
        1.29789,
        1.32075,
        1.19556,
        1.24121,
        1.12663,
        1.35412,
        1.25769,
        1.26432,
        1.2255,
        1.28176,
        1.25521,
        1.34271,
        1.24563,
        1.30849,
        1.33781,
        1.41347,
        1.36068,
        1.27009,
        1.2978,
        1.32228,
        1.34638,
        1.29831,
        1.39866,
        1.28101,
        1.36926,
        1.35131,
        1.25944,
        1.23115,
        1.13152,
        1.25952,
        1.30419,
        1.29673,
        1.25027,
        1.24437,
        1.38634,
        1.31552,
        1.29146,
        1.29043,
        1.2522,
        1.30667,
        1.24636,
        1.3857,
        1.32606,
        1.37906,
        1.47341,
        1.34625,
        1.30513,
        1.22773,
        1.11145,
        1.26957,
        1.55713,
        1.24264,
        1.15118,
        1.37909,
        1.36893,
        1.43583,
        1.06989,
        1.34588,
        1.23424,
        1.26003,
        1.37817,
        1.26724,
        1.19576,
        1.21637,
        1.2458,
        1.19967,
        1.36816,
        1.28418,
        1.24833,
        1.26218,
        1.30157,
        1.26793,
        1.21547,
        1.22265,
        1.27416,
        1.16632,
        1.2209,
        1.28197,
        1.31593,
        1.23747,
        1.16895,
        null,
        1.2129,
        1.46263,
        1.30714,
        1.30528,
        1.39908,
        1.5214,
        1.50577,
        1.0947,
        1.30893,
        1.39816,
        1.46019,
        1.56527,
        1.43553,
        null,
        1.33528,
        1.37203,
        1.39212,
        1.36499,
        1.34828,
        1.35094,
        1.30382,
        1.14339,
        1.31939,
        1.32903,
        1.35568,
        1.25556,
        1.27161,
        1.2393,
        1.24545,
        1.29721,
        1.25785,
        1.27929,
        1.3288,
        1.24526,
        1.21795,
        1.23227,
        1.30729,
        1.31823,
        1.3491,
        1.31772,
        1.32228,
        1.35042,
        1.28427,
        1.26347,
        1.24958,
        1.2565,
        1.28657,
        1.24766,
        1.2276,
        1.21993,
        1.26288,
        1.26493,
        1.24894,
        1.33118,
        1.37331,
        1.24426,
        1.24139,
        1.27162,
        1.26922,
        1.24789,
        1.28576,
        1.2395,
        1.26084,
        1.22053,
        1.22144,
        1.17898,
        1.20999,
        1.26901,
        1.33018,
        1.29916,
        1.33467,
        1.39281,
        1.29561,
        1.2563,
        1.27946,
        1.21899,
        1.21335,
        1.21451,
        1.2122,
        1.1921,
        1.24782,
        1.19627,
        1.28777,
        1.23869,
        1.27739,
        1.299,
        1.27085,
        1.21875,
        1.25831,
        1.28461,
        1.25479,
        1.18471,
        1.19738,
        1.2187,
        1.29805,
        1.29008,
        1.28338,
        1.33025,
        1.2984,
        1.33472,
        1.31056,
        1.26951,
        1.29524,
        1.34272,
        1.3607,
        1.31379,
        1.26886,
        1.28792,
        1.34866,
        1.2765,
        1.23515,
        1.26021,
        1.37681,
        1.3794,
        1.30299,
        1.38519,
        1.3258,
        1.30444,
        1.37663,
        1.34772,
        1.32073,
        1.31305,
        1.31425,
        1.30778,
        1.30336,
        1.27564,
        1.28267,
        1.28644,
        1.34203,
        1.25725,
        1.26917,
        1.2886,
        1.32096,
        1.24696,
        1.32883,
        1.33409,
        1.31349,
        1.34389,
        1.30148,
        1.2277,
        1.29556,
        1.27448,
        1.31048,
        1.22347,
        1.24862,
        1.28108,
        1.24096,
        1.2645,
        1.31868,
        1.33772,
        1.32581,
        1.29989,
        1.23343,
        1.21753,
        1.20092,
        1.27239,
        1.30848,
        1.23857,
        1.2849,
        1.29148,
        1.26872,
        1.3021,
        1.30269,
        1.35843,
        1.2892,
        1.33098,
        1.26631,
        1.21288,
        1.18418,
        1.28107,
        1.32535,
        1.27332,
        1.23171,
        1.26539,
        1.33553,
        1.31094,
        1.36181,
        1.28408,
        1.29011,
        1.28962,
        1.22561,
        1.26648,
        1.24305,
        1.34216,
        1.25438,
        1.26265,
        1.23253,
        1.22525,
        1.22239,
        1.26002,
        1.24301,
        1.23559,
        1.27866,
        1.20287,
        1.17902,
        1.269,
        1.27498,
        1.25062,
        1.19137,
        1.29393,
        1.29501,
        1.25642,
        1.2588,
        1.23473,
        1.21723,
        1.23083,
        1.17072,
        1.24347,
        1.25895,
        1.25873,
        1.29398,
        1.28497,
        1.29022,
        1.29153,
        1.33622,
        1.38601,
        1.28807,
        1.23912,
        1.25633,
        1.29171,
        1.23653,
        1.26561,
        1.31323,
        1.34007,
        1.30283,
        1.26057,
        1.2621,
        1.26653,
        1.25615,
        1.26538,
        1.27315,
        1.26726,
        1.30666,
        1.37303,
        1.20592,
        1.27468,
        1.32936,
        1.24278,
        1.2513,
        1.28699,
        1.30462,
        1.27639,
        1.29441,
        1.31035,
        1.29436,
        1.33727,
        1.2736,
        1.26128,
        1.30432,
        1.31733,
        1.30982,
        1.33055,
        1.38236,
        1.28961,
        1.3237,
        1.36407,
        1.29946,
        1.21607,
        1.21967,
        1.33909,
        1.37525,
        1.19765,
        1.30194,
        1.20117,
        1.12929,
        1.2573,
        1.33847,
        1.3235,
        1.29397,
        1.26934,
        1.39361,
        1.3517,
        1.18536,
        1.32878,
        1.29861,
        1.50839,
        1.42061,
        1.53537,
        1.41792,
        1.21529,
        1.19887,
        1.1178,
        1.34415,
        1.40666,
        1.22252,
        1.34036,
        1.38881,
        1.30627,
        1.25428,
        1.33348,
        1.20244,
        1.44236,
        1.28425,
        1.37894,
        1.37309,
        1.35022,
        1.37103,
        1.30893,
        1.35095,
        1.38526,
        1.37127,
        1.32518,
        1.29122,
        1.36628,
        1.45727,
        1.43194,
        1.36415,
        1.3337,
        1.36033,
        1.38443,
        1.3323,
        1.30194,
        1.35965,
        1.39031,
        1.34053,
        1.12885,
        1.32371,
        1.4484,
        1.32134,
        1.35653,
        1.27846,
        1.34489,
        1.45238,
        1.4589,
        1.50033,
        1.41297,
        1.42859,
        1.35136,
        1.31078,
        1.40011,
        1.37766,
        1.4215,
        1.44428,
        1.44946,
        1.4543,
        1.36771,
        1.36567,
        1.40683,
        1.33948,
        1.32533,
        1.3527,
        1.34336,
        1.32461,
        1.37675,
        1.36501,
        1.32998,
        1.32271,
        1.34818,
        1.33235,
        1.30748,
        1.32859,
        1.32351,
        1.33448,
        1.3268,
        1.43794,
        1.32199,
        1.4451,
        1.33384,
        1.23619,
        1.37739,
        1.38816,
        1.39174,
        1.31638,
        1.30198,
        1.44102,
        1.4317,
        1.31784,
        1.34441,
        1.41182,
        1.45871,
        1.27189,
        1.3024,
        1.28928,
        1.28189,
        1.30746,
        1.28033,
        1.29086,
        1.3622,
        1.35406,
        1.37447,
        1.35547,
        1.35435,
        1.34991,
        1.37423,
        1.31214,
        1.39964,
        1.33537,
        1.3745,
        1.36332,
        1.33131,
        1.30218,
        1.32036,
        1.32176,
        1.21412,
        1.37112,
        1.37584,
        1.37278,
        1.30332,
        1.27918,
        1.27637,
        1.29604,
        1.35662,
        1.34552,
        1.32663,
        1.3763,
        1.33388,
        1.32451,
        1.31971,
        1.32364,
        1.39367,
        1.34493,
        1.36185,
        1.3899,
        1.36449,
        1.46764,
        1.34965,
        1.33469,
        1.40101,
        1.37189,
        1.34698,
        1.29046,
        1.3337,
        1.38046,
        1.30532,
        1.35508,
        1.36391,
        1.33241,
        1.35389,
        1.268,
        1.36715,
        1.41645,
        1.41289,
        1.4126,
        1.45828,
        1.3205,
        1.29055,
        1.2618,
        1.30787,
        1.27671,
        1.25469,
        1.38765,
        1.54986,
        1.40326,
        1.45848,
        1.34147,
        1.1327,
        1.31084,
        1.31983,
        1.46187,
        1.4336,
        1.4061,
        1.44351,
        1.37105,
        1.31331,
        1.43077,
        1.37489,
        1.35622,
        1.26892,
        1.23377,
        1.34003,
        1.30617,
        1.3088,
        1.27842,
        1.30771,
        1.33916,
        1.30644,
        1.26671,
        1.30277,
        1.32707,
        1.30297,
        1.3034,
        1.29692,
        1.23752,
        1.24398,
        1.25394,
        1.32042,
        1.38646,
        1.16629,
        1.18107,
        1.37692,
        1.40426,
        1.30977,
        1.59009,
        1.71896,
        1.42814,
        1.39485,
        1.35839,
        1.38505,
        1.26072,
        1.26668,
        1.30248,
        1.39162,
        1.38682,
        1.29648,
        1.31275,
        1.33891,
        1.31015,
        1.27797,
        1.32553,
        1.28719,
        1.31572,
        1.28335,
        1.31645,
        1.25826,
        1.32382,
        1.40278,
        1.29334,
        1.2362,
        1.21029,
        1.2717,
        1.33438,
        1.29154,
        1.31453,
        1.35449,
        1.28488,
        1.26019,
        1.30256,
        1.34908,
        1.3161,
        1.27806,
        1.34456,
        1.31074,
        1.27293,
        1.34383,
        1.29852,
        1.24552,
        1.23898,
        1.30837,
        1.29456,
        1.34292,
        1.33566,
        1.23164,
        1.28184,
        1.20813,
        1.27085,
        1.27012,
        1.23518,
        1.24824,
        1.21627,
        1.30992,
        1.23774,
        1.25368,
        1.26584,
        1.22028,
        1.23336,
        1.31532,
        1.26428,
        1.25128,
        1.17372,
        1.21851,
        1.32745,
        1.30555,
        1.20646,
        1.28107,
        1.28492,
        1.29756,
        1.22107,
        1.23712,
        1.27001,
        1.21994,
        1.24681,
        1.27162,
        1.24318,
        1.31621,
        1.27839,
        1.27088,
        1.29211,
        1.3363,
        1.33641,
        1.2721,
        1.27952,
        1.25076,
        1.21922,
        1.25057,
        1.24393,
        1.254,
        1.23401,
        1.24543,
        1.24027,
        1.24494,
        1.2796,
        1.27093,
        1.26232,
        1.22589,
        1.23632,
        1.27612,
        1.23518,
        1.22698,
        1.19239,
        1.24188,
        1.25987,
        1.2597,
        1.2531,
        1.21959,
        1.26778,
        1.26596,
        1.24143,
        1.2175,
        1.26156,
        1.26204,
        1.25258,
        1.20231,
        1.25199,
        1.25764,
        1.25968,
        1.26848,
        1.26247,
        1.25935,
        1.28542,
        1.30915,
        1.24545,
        1.2455,
        1.28456,
        1.28618,
        1.32446,
        1.33963,
        1.29881,
        1.2614,
        1.26231,
        1.26347,
        1.29802,
        1.25363,
        1.25501,
        1.29146,
        1.32447,
        1.28162,
        1.26332,
        1.22797,
        1.28932,
        1.26787,
        1.23786,
        1.20832,
        1.19659,
        1.20221,
        1.25385,
        1.31977,
        1.35146,
        1.30603,
        1.31176,
        1.33803,
        1.28164,
        1.34459,
        1.29954,
        1.23598,
        1.21166,
        1.28668,
        1.4003,
        1.24262,
        1.30222,
        1.2259,
        1.19394,
        1.32486,
        1.65671,
        1.27325,
        1.3695,
        1.3178,
        1.3519,
        1.25095,
        1.33925,
        1.33324,
        1.36015,
        1.28504,
        1.35414,
        1.1578,
        1.23128,
        1.24145,
        1.1947,
        1.12723,
        1.25262,
        1.34574,
        1.34898,
        1.28335,
        1.275,
        1.31218,
        1.30624,
        1.26049,
        1.25345,
        1.25951,
        1.25702,
        1.24574,
        1.21614,
        1.31492,
        1.33375,
        1.29317,
        1.35576,
        1.26881,
        1.24522,
        1.29787,
        1.32006,
        1.29513,
        1.21178,
        1.25313,
        1.31044,
        1.21197,
        1.23409,
        1.27943,
        1.24993,
        1.2422,
        1.30574,
        1.27883,
        1.21445,
        1.25712,
        1.26438,
        1.29553,
        1.29802,
        1.27815,
        1.27565,
        1.23023,
        1.2516,
        1.25012,
        1.27329,
        1.32435,
        1.31604,
        1.25425,
        1.21962,
        1.18789,
        1.26351,
        1.28061,
        1.29101,
        1.2789,
        1.30828,
        1.3312,
        1.23197,
        1.20832,
        1.24598,
        1.25709,
        1.28008,
        1.25816,
        1.27375,
        1.30042,
        1.24376,
        1.23308,
        1.26665,
        1.30073,
        1.2541,
        1.28126,
        1.25561,
        1.34323,
        1.30292,
        1.29152,
        1.28471,
        1.24195,
        1.23825,
        1.24292,
        1.20858,
        1.26933,
        1.29714,
        1.31948,
        1.29947,
        1.31,
        1.3221,
        1.27343,
        1.24405,
        1.27151,
        1.27969,
        1.22705,
        1.24774,
        1.25136,
        1.21577,
        1.23999,
        1.29539,
        1.31592,
        1.29125,
        1.28688,
        1.3359,
        1.30052,
        1.30933,
        1.3388,
        1.29309,
        1.327,
        1.34194,
        1.34221,
        1.28997,
        1.32943,
        1.34454,
        1.35436,
        1.33691,
        1.31988,
        1.3176,
        1.29787,
        1.29412,
        1.35607,
        1.31911,
        1.27659,
        1.34786,
        1.42881,
        1.3906,
        1.3856,
        1.39171,
        1.38102,
        1.33935,
        1.36791,
        1.32993,
        1.31203,
        1.38101,
        1.3147,
        1.31432,
        1.35389,
        1.36115,
        1.39261,
        1.33776,
        1.37177,
        1.32023,
        1.33535,
        1.39102,
        1.26192,
        1.27627,
        1.29037,
        1.25874,
        1.36636,
        1.32063,
        1.31672,
        1.30912,
        1.32681,
        1.30216,
        1.33799,
        1.52381,
        1.3189,
        1.18911,
        1.30169,
        1.48891,
        1.531,
        1.08202,
        1.18326,
        1.30434,
        1.26313,
        1.31248,
        1.2895,
        1.27089,
        1.17188,
        1.29957,
        1.33325,
        1.38413,
        1.28648,
        1.33999,
        1.3476,
        1.31783,
        1.4427,
        1.41772,
        1.39638,
        1.56542,
        1.42623,
        1.38882,
        1.38517,
        1.281,
        1.30678,
        1.27573,
        1.31822,
        1.38919,
        1.32779,
        1.3347,
        1.3649,
        1.27686,
        1.25797,
        1.45797,
        1.40215,
        1.33619,
        1.31017,
        1.37226,
        1.30313,
        1.26779,
        1.28795,
        1.23075,
        1.30102,
        1.31284,
        1.32011,
        1.28038,
        1.406,
        1.33594,
        1.35403,
        1.39348,
        1.41282,
        1.3006,
        1.26886,
        1.26443,
        1.31181,
        1.33025,
        1.3138,
        1.35808,
        1.41422,
        1.32493,
        1.3015,
        1.39338,
        1.33281,
        1.41478,
        1.32792,
        1.3978,
        1.34431,
        1.29434,
        1.38807,
        1.38115,
        1.3357,
        1.31418,
        1.38824,
        1.35392,
        1.46842,
        1.45556,
        1.44914,
        1.39234,
        1.39071,
        1.39323,
        1.31841,
        1.31925,
        1.38565,
        1.39031,
        1.39098,
        1.31237,
        1.31338,
        1.32063,
        1.32156,
        1.38377,
        1.3603,
        1.32341,
        1.3031,
        1.29119,
        1.27557,
        1.31255,
        1.36399,
        1.32876,
        1.3077,
        1.31431,
        1.27185,
        1.22421,
        1.21916,
        1.236,
        1.29701,
        1.27131,
        1.22962,
        1.32406,
        1.30876,
        1.31629,
        1.35449,
        1.30932,
        1.30542,
        1.34866,
        1.35389,
        1.26462,
        1.2273,
        1.25762,
        1.26001,
        1.27404,
        1.29904,
        1.28992,
        1.28657,
        1.2874,
        1.29027,
        1.29077,
        1.31071,
        1.28636,
        1.28988,
        1.3103,
        1.18054,
        1.26703,
        1.23317,
        1.32593,
        1.34801,
        1.32841,
        1.32864,
        1.31425,
        1.28505,
        1.36135,
        1.33741,
        1.33815,
        1.34125,
        1.22102,
        1.20025,
        1.22979,
        1.18139,
        1.31537,
        1.25526,
        1.26852,
        1.29755,
        1.27919,
        1.2748,
        1.34419,
        1.2311,
        1.17445,
        1.24551,
        1.34487,
        1.35028,
        1.29278,
        1.32867,
        1.38019,
        1.45935,
        1.52846,
        1.28122,
        1.29071,
        1.14098,
        1.13036,
        1.30953,
        1.61019,
        1.2247,
        0.999152,
        1.30094,
        1.26147,
        1.34022,
        1.43775,
        1.17838,
        1.1022,
        1.26099,
        1.20306,
        1.28558,
        1.35682,
        1.29388,
        1.31293,
        1.23315,
        1.37085,
        1.3428,
        1.29094,
        1.17738,
        1.23792,
        1.20392,
        1.29395,
        1.27685,
        1.33642,
        1.31136,
        1.26082,
        1.2397,
        1.2757,
        1.24265,
        1.25719,
        1.20739,
        1.24402,
        1.28651,
        1.25296,
        1.22395,
        1.30122,
        1.21146,
        1.26617,
        1.21888,
        1.17962,
        1.18706,
        1.16126,
        1.23037,
        1.26327,
        1.3542,
        1.25518,
        1.25477,
        1.1969,
        1.31904,
        1.27046,
        1.27954,
        1.31418,
        1.27208,
        1.27359,
        1.26781,
        1.22512,
        1.29193,
        1.22049,
        1.27635,
        1.30386,
        1.36459,
        1.26116,
        1.20732,
        1.22625,
        1.19486,
        1.31458,
        1.3212,
        1.31582,
        1.38147,
        1.28749,
        1.31545,
        1.31209,
        1.29908,
        1.3424,
        1.27147,
        1.35297,
        1.31165,
        1.34616,
        1.2676,
        1.29715,
        1.33699,
        1.36217,
        1.37622,
        1.29261,
        1.25389,
        1.33941,
        1.27404,
        1.24541,
        1.25726,
        1.35538,
        1.27429,
        1.26688,
        1.2304,
        1.36919,
        1.3497,
        1.30561,
        1.30299,
        1.32844,
        1.29631,
        1.30478,
        1.32389,
        1.2722,
        1.33243,
        1.31104,
        1.26333,
        1.32545,
        1.37262,
        1.39116,
        1.27205,
        1.30644,
        1.28416,
        1.40728,
        1.27213,
        1.36216,
        1.34986,
        1.43501,
        1.28063,
        1.32324,
        1.25739,
        1.34163,
        1.36057,
        1.37932,
        1.36412,
        1.43649,
        1.34761,
        1.33829,
        1.24051,
        1.22898,
        1.37795,
        1.32829,
        1.37025,
        1.27596,
        1.23568,
        1.227,
        1.25747,
        1.36597,
        1.35676,
        1.26192,
        1.32076,
        1.31875,
        1.24728,
        1.27733,
        1.28998,
        1.3565,
        1.37424,
        1.33455,
        1.26913,
        1.26077,
        1.28047,
        1.26248,
        1.24658,
        1.32496,
        1.24461,
        1.32182,
        1.62721,
        1.34093,
        1.37611,
        1.19994,
        1.16652,
        1.40272,
        1.40956,
        1.45677,
        1.46481,
        1.70601,
        1.82527,
        1.4276,
        1.53766,
        1.63276,
        1.49772,
        1.21604,
        0.992948,
        1.10309,
        1.56367,
        1.3313,
        1.43569,
        1.37161,
        1.52078,
        1.5215,
        1.31039,
        1.40818,
        1.40697,
        1.37408,
        1.39653,
        1.37118,
        1.43252,
        1.36581,
        1.35538,
        1.25872,
        1.32316,
        1.34659,
        1.38184,
        1.71597,
        1.45381,
        1.24189,
        1.46463,
        1.45028,
        1.46201,
        1.28389,
        0.999416,
        1.34844,
        1.4759,
        1.6225,
        1.18383,
        1.43363,
        1.3441,
        1.1022,
        1.28852,
        1.46191,
        null,
        2.0256,
        1.30128,
        1.26624,
        1.49136,
        1.08964,
        1.52496,
        1.41529,
        1.44237,
        1.22071,
        1.04935,
        1.22823,
        1.18789,
        1.41162,
        1.2879,
        1.29308,
        1.35624,
        1.46452,
        1.38052,
        1.38445,
        1.36313,
        1.57208,
        1.54092,
        1.47264,
        1.38838,
        1.35657,
        1.43898,
        1.35249,
        1.24811,
        1.34737,
        1.38923,
        1.32724,
        1.41364,
        1.35256,
        1.4202,
        1.30879,
        1.40625,
        1.39002,
        1.35733,
        1.25406,
        1.32165,
        1.4424,
        1.41694,
        1.30042,
        1.33493,
        1.27609,
        1.34899,
        1.33312,
        1.3452,
        1.36064,
        1.36707,
        1.38685,
        1.40382,
        1.37059,
        1.40683,
        1.22552,
        1.2392,
        1.20612,
        1.37484,
        1.39912,
        1.38491,
        1.36513,
        1.28507,
        1.31778,
        1.29855,
        1.29054,
        1.34198,
        1.26568,
        1.20668,
        1.25569,
        1.2572,
        1.31512,
        1.26889,
        1.32089,
        1.27682,
        1.23349,
        1.20021,
        1.22265,
        1.25616,
        1.30833,
        1.31112,
        1.24837,
        1.20497,
        1.29952,
        1.3003,
        1.26575,
        1.28167,
        1.30355,
        1.34297,
        1.1723,
        1.22715,
        1.27128,
        1.2385,
        1.26542,
        1.31199,
        1.28676,
        1.24437,
        1.17804,
        1.25273,
        1.39101,
        1.26228,
        1.19142,
        1.26075,
        1.29347,
        1.24298,
        1.23232,
        1.19722,
        1.22567,
        1.21199,
        1.23998,
        1.31217,
        1.24116,
        1.26573,
        1.23896,
        1.24458,
        1.27461,
        1.20678,
        1.28942,
        1.29855,
        1.29809,
        1.20272,
        1.2423,
        1.27697,
        1.3205,
        1.37125,
        1.27911,
        1.28751,
        1.28037,
        1.3027,
        1.29554,
        1.34934,
        1.26655,
        1.18995,
        1.17928,
        1.30845,
        1.24838,
        1.23231,
        1.25929,
        1.31681,
        1.35731,
        1.30406,
        1.32974,
        1.29301,
        1.22024,
        1.21086,
        1.33304,
        1.34819,
        1.19602,
        1.34292,
        1.34747,
        1.39893,
        1.4524,
        1.34933,
        1.20992,
        1.32724,
        1.26268,
        1.36585,
        1.28293,
        1.24322,
        1.28695,
        1.30307,
        1.09169,
        1.22358,
        1.36297,
        1.14406,
        1.47674,
        1.35136,
        1.23875,
        1.43763,
        1.14681,
        1.25949,
        1.42732,
        1.20426,
        1.05568,
        1.30441,
        1.4781,
        1.47999,
        1.39525,
        1.26815,
        1.33469,
        1.4171,
        1.28152,
        1.29937,
        1.32475,
        1.21786,
        1.24325,
        1.27043,
        1.32547,
        1.24031,
        1.28335,
        1.30196,
        1.3095,
        1.3436,
        1.34169,
        1.35161,
        1.29361,
        1.23007,
        1.26384,
        1.31782,
        1.32015,
        1.26186,
        1.3955,
        1.22523,
        1.32304,
        1.34607,
        1.23624,
        1.23442,
        1.2995,
        1.26503,
        1.28517,
        1.29624,
        1.24389,
        1.25353,
        1.27497,
        1.34666,
        1.26924,
        1.25529,
        1.28392,
        1.27088,
        1.33138,
        1.25663,
        1.30184,
        1.26169,
        1.27998,
        1.2928,
        1.27401,
        1.22508,
        1.31058,
        1.24055,
        1.16737,
        1.26368,
        1.31711,
        1.21725,
        1.19661,
        1.29854,
        1.21514,
        1.28942,
        1.35874,
        1.26114,
        1.28787,
        1.29329,
        1.34961,
        1.21815,
        1.19905,
        1.19943,
        1.2962,
        1.23645,
        1.25641,
        1.24142,
        1.27054,
        1.22707,
        1.19808,
        1.27397,
        1.21779,
        1.33495,
        1.33003,
        1.32541,
        1.28129,
        1.27212,
        1.27483,
        1.18842,
        1.22282,
        1.32272,
        1.2996,
        1.27526,
        1.20081,
        1.24627,
        1.21292,
        1.21065,
        1.21105,
        1.26914,
        1.35178,
        1.25602,
        1.25143,
        1.23736,
        1.25933,
        1.25755,
        1.24844,
        1.27766,
        1.28096,
        1.22328,
        1.25537,
        1.19387,
        1.20014,
        1.30351,
        1.41105,
        1.30669,
        1.32052,
        1.35143,
        1.27926,
        1.30825,
        1.24879,
        1.30299,
        1.25027,
        1.10762,
        1.2513,
        1.19361,
        1.28738,
        1.3252,
        1.37565,
        1.30628,
        1.26243,
        1.27697,
        1.39981,
        1.24677,
        1.31381,
        1.32558,
        1.22006,
        1.33228,
        1.26536,
        1.35228,
        1.37656,
        1.37397,
        1.31816,
        1.29433,
        1.32755,
        1.29152,
        1.42057,
        1.26511,
        1.28314,
        1.28947,
        1.25083,
        1.2651,
        1.34261,
        1.19409,
        1.27557,
        1.12263,
        1.19707,
        1.28172,
        1.27852,
        1.10162,
        1.29833,
        1.34128,
        1.32848,
        1.43006,
        null,
        1.28647,
        1.25489,
        1.21745,
        1.25827,
        1.32801,
        1.25297,
        1.21826,
        1.22963,
        1.30165,
        1.22687,
        1.19143,
        1.27611,
        1.2549,
        1.22175,
        1.2495,
        1.24799,
        1.26313,
        1.29768,
        1.28548,
        1.30534,
        1.24194,
        1.30418,
        1.33315,
        1.26308,
        1.33572,
        1.31423,
        1.32792,
        1.35692,
        1.35662,
        1.34035,
        1.30383,
        1.33398,
        1.28646,
        1.24838,
        1.29789,
        1.27562,
        1.22929,
        1.25598,
        1.23201,
        1.20669,
        1.27518,
        1.27857,
        1.22038,
        1.26967,
        1.25726,
        1.25084,
        1.25947,
        1.23186,
        1.243,
        1.26762,
        1.33451,
        1.33666,
        1.28475,
        1.22853,
        1.26229,
        1.2895,
        1.29793,
        1.28899,
        1.2892,
        1.26146,
        1.33754,
        1.32108,
        1.26844,
        1.25617,
        1.33071,
        1.30706,
        1.30195,
        1.33984,
        1.35209,
        1.23426,
        1.2367,
        1.24954,
        1.2701,
        1.3404,
        1.29236,
        1.29169,
        1.21142,
        1.21217,
        1.27127,
        1.24936,
        1.34651,
        1.44201,
        1.34036,
        1.1663,
        1.1902,
        1.27427,
        1.33166,
        1.48274,
        1.39915,
        1.31617,
        1.43493,
        1.40743,
        1.40951,
        1.28847,
        1.23154,
        1.28511,
        1.36585,
        1.37211,
        1.25032,
        1.15252,
        1.27403,
        1.29302,
        1.29704,
        1.33794,
        1.27739,
        1.21523,
        1.22635,
        1.239,
        1.30129,
        1.29141,
        1.27566,
        1.28358,
        1.2984,
        1.27914,
        1.30654,
        1.24893,
        1.27606,
        1.25126,
        1.26961,
        1.24074,
        1.27561,
        1.32927,
        1.24846,
        1.27226,
        1.29749,
        1.28487,
        1.3048,
        1.26917,
        1.30813,
        1.30738,
        1.2673,
        1.25316,
        1.24297,
        1.22317,
        1.27898,
        1.28559,
        1.26314,
        1.25642,
        1.26447,
        1.28757,
        1.25613,
        1.26559,
        1.29119,
        1.25691,
        1.27701,
        1.23795,
        1.20145,
        1.19529,
        1.25937,
        1.20579,
        1.24373,
        1.26252,
        1.25304,
        1.23414,
        1.27353,
        1.27668,
        1.30446,
        1.25411,
        1.20414,
        1.18881,
        1.25241,
        1.25155,
        1.19438,
        1.21962,
        1.26412,
        1.28644,
        1.30236,
        1.30895,
        1.27764,
        1.27385,
        1.28212,
        1.31561,
        1.29724,
        1.31787,
        1.3003,
        1.20908,
        1.21864,
        1.3123,
        1.30958,
        1.33599,
        1.22869,
        1.27377,
        1.2465,
        1.207,
        1.20418,
        1.19892,
        1.23871,
        1.24731,
        1.24959,
        1.23286,
        1.19699,
        1.20257,
        1.21065,
        1.26527,
        1.3164,
        1.279,
        1.31436,
        1.29761,
        1.29661,
        1.2917,
        1.20434,
        1.23346,
        1.26076,
        1.28511,
        1.31664,
        1.26733,
        1.24809,
        1.29812,
        1.27016,
        1.24526,
        1.26338,
        1.23864,
        1.27261,
        1.27468,
        1.22821,
        1.25457,
        1.25006,
        1.25042,
        1.30239,
        1.25404,
        1.30526,
        1.30016,
        1.28156,
        1.33642,
        1.33719,
        1.27789,
        1.32968,
        1.31695,
        1.28352,
        1.27685,
        1.28688,
        1.2671,
        1.12325,
        1.31694,
        1.25452,
        1.25068,
        1.11611,
        1.22967,
        1.18797,
        1.26044,
        1.2675,
        1.3582,
        1.29387,
        1.24901,
        1.32055,
        1.273,
        1.34953,
        1.30001,
        1.25749,
        1.26436,
        1.33472,
        1.28541,
        1.29744,
        1.31576,
        1.33943,
        1.31889,
        1.32279,
        1.31954,
        1.30821,
        1.25297,
        1.28413,
        1.26132,
        1.2396,
        1.21997,
        1.24926,
        1.33028,
        1.24174,
        1.26217,
        1.23931,
        1.29312,
        1.2624,
        1.28615,
        1.31284,
        1.30344,
        1.279,
        1.28304,
        1.22144,
        1.24862,
        1.22896,
        1.26072,
        1.24513,
        1.25032,
        1.25949,
        1.25087,
        1.28937,
        1.27322,
        1.24293,
        1.26784,
        1.2543,
        1.27087,
        1.27814,
        1.27114,
        1.31105,
        1.30452,
        1.28524,
        1.31405,
        1.2841,
        1.315,
        1.3378,
        1.34351,
        1.29879,
        1.29973,
        1.35215,
        1.30824,
        1.27863,
        1.24803,
        1.3007,
        1.29375,
        1.34955,
        1.37809,
        1.27245,
        1.27385,
        1.36644,
        1.37,
        1.27889,
        1.32456,
        1.32552,
        1.35801,
        1.32412,
        1.31214,
        1.36854,
        1.35691,
        1.37533,
        1.35738,
        1.32826,
        1.32308,
        1.3433,
        1.30593,
        1.34216,
        1.29609,
        1.29493,
        1.368,
        1.35777,
        1.32371,
        1.32383,
        1.3271,
        1.3507,
        1.33955,
        1.35478,
        1.38337,
        1.38166,
        1.36633,
        1.34853,
        1.37151,
        1.35076,
        1.33287,
        1.31862,
        1.34553,
        1.34482,
        1.31707,
        1.28681,
        1.32257,
        1.34447,
        1.30408,
        1.3734,
        1.35057,
        1.30596,
        1.34679,
        1.3428,
        1.36243,
        1.31589,
        1.30012,
        1.31036,
        1.33613,
        1.36057,
        1.28426,
        1.32,
        1.29035,
        1.25325,
        1.25773,
        1.38891,
        1.33155,
        1.37075,
        1.39525,
        1.33906,
        1.3586,
        1.33994,
        1.28563,
        1.34102,
        1.37945,
        1.31984,
        1.19644,
        1.23571,
        1.32354,
        1.43821,
        1.36779,
        1.33564,
        1.42441,
        1.52596,
        1.5757,
        1.35407,
        1.31074,
        1.31315,
        1.54491,
        1.37046,
        1.32205,
        1.39274,
        1.44562,
        1.37218,
        1.40449,
        1.46057,
        1.40532,
        1.34798,
        1.28157,
        1.32929,
        1.36336,
        1.38386,
        1.44294,
        1.40715,
        1.33089,
        1.2882,
        1.3474,
        1.31448,
        1.31559,
        1.33218,
        1.29083,
        1.28417,
        1.33512,
        1.28465,
        1.3139,
        1.23828,
        1.19173,
        1.30813,
        1.33805,
        1.30105,
        1.30571,
        1.30146,
        1.31656,
        1.30394,
        1.26176,
        1.21223,
        1.29037,
        1.33972,
        1.25429,
        1.30353,
        1.31444,
        1.29339,
        1.29091,
        1.23875,
        1.32626,
        1.30013,
        1.20409,
        1.25449,
        1.23274,
        1.3084,
        1.27158,
        1.27638,
        1.26088,
        1.33767,
        1.34354,
        1.2825,
        1.27826,
        1.2759,
        1.31877,
        1.25576,
        1.28053,
        1.31607,
        1.33245,
        1.29775,
        1.2487,
        1.2789,
        1.27218,
        1.26379,
        1.26412,
        1.19894,
        1.28062,
        1.2636,
        1.21721,
        1.22545,
        1.23367,
        1.2374,
        1.2747,
        1.25357,
        1.23902,
        1.26207,
        1.25435,
        1.23243,
        1.24527,
        1.30668,
        1.2263,
        1.26246,
        1.236,
        1.25328,
        1.22213,
        1.24587,
        1.29166,
        1.28397,
        1.32958,
        1.25223,
        1.2262,
        1.20726,
        1.28654,
        1.27066,
        1.27748,
        1.2773,
        1.22541,
        1.24306,
        1.23681,
        1.21028,
        1.28697,
        1.30248,
        1.23452,
        1.29801,
        1.29609,
        1.33195,
        1.34041,
        1.31588,
        1.25801,
        1.25275,
        1.25961,
        1.27441,
        1.26512,
        1.25957,
        1.27024,
        1.27369,
        1.26819,
        1.292,
        1.24677,
        1.23189,
        1.21295,
        1.16642,
        1.29699,
        1.27237,
        1.24768,
        1.30563,
        1.29932,
        1.3294,
        1.35364,
        1.32526,
        1.29318,
        1.3155,
        1.35045,
        1.42497,
        1.28728,
        1.23748,
        1.3052,
        1.23201,
        1.20561,
        1.31492,
        1.23812,
        1.26024,
        1.28148,
        1.27241,
        1.18271,
        1.41505,
        1.21477,
        1.22072,
        1.41869,
        1.20908,
        1.37836,
        1.27039,
        1.29276,
        1.19061,
        1.29931,
        1.42434,
        1.21449,
        1.24261,
        1.26474,
        1.24641,
        1.21139,
        1.26779,
        1.24953,
        1.19403,
        1.30075,
        1.2507,
        1.21052,
        1.21576,
        1.27755,
        1.30558,
        1.22157,
        1.2342,
        1.24091,
        1.29019,
        1.21736,
        1.26121,
        1.24532,
        1.1861,
        1.20453,
        1.23102,
        1.27447,
        1.30084,
        1.24214,
        1.20835,
        1.30242,
        1.29103,
        1.2154,
        1.2529,
        1.23298,
        1.20579,
        1.21601,
        1.26284,
        1.24933,
        1.21941,
        1.20782,
        1.2692,
        1.24283,
        1.24219,
        1.23975,
        1.24137,
        1.2257,
        1.25304,
        1.26437,
        1.26552,
        1.24239,
        1.20639,
        1.27656,
        1.18421,
        1.2273,
        1.25473,
        1.18911,
        1.2192,
        1.34146,
        1.21227,
        1.16552,
        1.27224,
        1.23366,
        1.29995,
        1.22754,
        1.22439,
        1.23566,
        1.15971,
        1.21066,
        1.25131,
        1.19547,
        1.24367,
        1.22378,
        1.21485,
        1.1893,
        1.27186,
        1.22118,
        1.23039,
        1.22428,
        1.28263,
        1.23479,
        1.19849,
        1.24845,
        1.21357,
        1.22689,
        1.22869,
        1.22482,
        1.24404,
        1.25268,
        1.25516,
        1.2815,
        1.27209,
        1.18837,
        1.28994,
        1.31854,
        1.28426,
        1.2581,
        1.27586,
        1.23753,
        1.19922,
        1.26598,
        1.30053,
        1.2814,
        1.27918,
        1.27304,
        1.2469,
        1.26571,
        1.3001,
        1.29094,
        1.28006,
        1.23019,
        1.2243,
        1.21062,
        1.22007,
        1.27378,
        1.22602,
        1.24019,
        1.20774,
        1.2739,
        1.27671,
        1.30955,
        1.311,
        1.29681,
        1.29261,
        1.30052,
        1.3233,
        1.27609,
        1.30304,
        1.29997,
        1.3001,
        1.29104,
        1.28966,
        1.23812,
        1.23867,
        1.28032,
        1.34231,
        1.29609,
        1.28754,
        1.30807,
        1.28674,
        1.3588,
        1.25246,
        1.23542,
        1.33144,
        1.31145,
        1.31638,
        1.30582,
        1.2887,
        1.3421,
        1.38366,
        1.37471,
        1.18353,
        1.08071,
        1.24637,
        1.2416,
        1.33401,
        1.22135,
        1.39605,
        1.08022,
        1.25963,
        1.36457,
        1.39075,
        1.33959,
        1.31085,
        1.31011,
        1.36392,
        1.37919,
        1.34231,
        1.28993,
        1.23415,
        1.26355,
        1.32509,
        1.25255,
        1.29256,
        1.33601,
        1.29178,
        1.36286,
        1.29188,
        1.32054,
        1.29697,
        1.24938,
        1.27411,
        1.28675,
        1.30964,
        1.311,
        1.35241,
        1.24268,
        1.21266,
        1.32224,
        1.28673,
        1.24846,
        1.27717,
        1.29333,
        1.27422,
        1.32586,
        1.28423,
        1.30983,
        1.26423,
        1.32845,
        1.3221,
        1.39581,
        1.35458,
        1.35689,
        1.31256,
        1.3781,
        1.31837,
        1.32954,
        1.31259,
        1.32835,
        1.30796,
        1.41636,
        1.3534,
        1.33657,
        1.30571,
        1.35067,
        1.35804,
        1.37079,
        1.37123,
        1.42543,
        1.3801,
        1.39975,
        1.44478,
        1.38847,
        1.39847,
        1.37023,
        1.36292,
        1.34615,
        1.40857,
        1.3987,
        1.37274,
        1.35991,
        1.36306,
        1.37972,
        1.38998,
        1.42647,
        1.36847,
        1.37388,
        1.48318,
        1.43661,
        1.38013,
        1.38179,
        1.38134,
        1.40694,
        1.35233,
        1.38041,
        1.37323,
        1.35976,
        1.40869,
        1.36907,
        1.33952,
        1.31217,
        1.31924,
        1.35976,
        1.37775,
        1.37235,
        1.33428,
        1.37823,
        1.37744,
        1.33554,
        1.35275,
        1.29474,
        1.30791,
        1.31159,
        1.30213,
        1.33483,
        1.32112,
        1.30763,
        1.25593,
        1.28334,
        1.28351,
        1.29532,
        1.30211,
        1.26412,
        1.27974,
        1.3153,
        1.30837,
        1.31205,
        1.25425,
        1.26287,
        1.27166,
        1.31225,
        1.34892,
        1.33573,
        1.32107,
        1.31422,
        1.29107,
        1.31506,
        1.38416,
        1.31973,
        1.35207,
        1.34444,
        1.28674,
        1.37685,
        1.38186,
        1.3879,
        1.36375,
        1.36243,
        1.31042,
        1.31979,
        1.39744,
        1.36036,
        1.35322,
        1.35064,
        1.38857,
        1.3629,
        1.36266,
        1.32426,
        1.28144,
        1.35278,
        1.37985,
        1.33585,
        1.24643,
        1.3796,
        1.38803,
        1.47291,
        1.52306,
        1.48719,
        1.24874,
        1.31673,
        1.20741,
        1.22448,
        1.36813,
        1.40458,
        1.26094,
        1.36732,
        1.20786,
        1.27318,
        1.38604,
        1.52465,
        1.28896,
        1.26371,
        1.29043,
        1.26769,
        1.31719,
        1.3789,
        1.29265,
        1.28205,
        1.34291,
        1.37915,
        1.309,
        1.32,
        1.30134,
        1.2851,
        1.30506,
        1.32774,
        1.33764,
        1.32353,
        1.26606,
        1.24252,
        1.35276,
        1.32944,
        1.29347,
        1.29529,
        1.25826,
        1.30571,
        1.28078,
        1.32188,
        1.31904,
        1.28137,
        1.2926,
        1.235,
        1.22075,
        1.35697,
        1.34055,
        1.32556,
        1.30094,
        1.24226,
        1.32788,
        1.28785,
        1.24977,
        1.218,
        1.24423,
        1.27049,
        1.21193,
        1.24912,
        1.28461,
        1.31493,
        1.29175,
        1.269,
        1.27683,
        1.26663,
        1.304,
        1.31436,
        1.33182,
        1.27765,
        1.27196,
        1.2656,
        1.27336,
        1.25461,
        1.30852,
        1.30989,
        1.30335,
        1.27009,
        1.2616,
        1.22556,
        1.26934,
        1.25535,
        1.30539,
        1.30738,
        1.30014,
        1.25622,
        1.24903,
        1.27247,
        1.27813,
        1.30714,
        1.28232,
        1.28679,
        1.2996,
        1.24241,
        1.24107,
        1.24208,
        1.32647,
        1.25322,
        1.26471,
        1.22203,
        1.24751,
        1.28621,
        1.24077,
        1.26724,
        1.26851,
        1.25886,
        1.24977,
        1.22259,
        1.1651,
        1.26897,
        1.27671,
        1.24928,
        1.21248,
        1.21836,
        1.20485,
        1.27161,
        1.24117,
        1.27822,
        1.25771,
        1.30734,
        1.35563,
        1.25607,
        1.25149,
        1.27818,
        1.25567,
        1.27574,
        1.19879,
        1.25627,
        1.32689,
        1.29604,
        1.29025,
        1.24019,
        1.28041,
        1.2924,
        1.26468,
        1.21989,
        1.24648,
        1.20832,
        1.26347,
        1.24708,
        1.24603,
        1.24386,
        1.23548,
        1.26614,
        1.26559,
        1.27746,
        1.31915,
        1.28092,
        1.27415,
        1.33876,
        1.28399,
        1.3403,
        1.27359,
        1.30441,
        1.32283,
        1.22913,
        1.26339,
        1.2791,
        1.30502,
        1.32475,
        1.23718,
        1.24912,
        1.23342,
        1.24618,
        1.27123,
        1.3257,
        1.40662,
        1.26952,
        1.30924,
        1.22913,
        1.29196,
        1.4044,
        1.29693,
        1.11914,
        1.27272,
        1.29957,
        1.24955,
        1.39597,
        1.24841,
        1.41975,
        1.44956,
        1.37333,
        1.22793,
        1.19184,
        1.30536,
        1.33665,
        1.28866,
        1.22746,
        1.21489,
        1.19378,
        1.2744,
        1.2657,
        1.30095,
        1.22814,
        1.23863,
        1.27161,
        1.26116,
        1.19922,
        1.21563,
        1.2206,
        1.21761,
        1.2819,
        1.28052,
        1.25375,
        1.31719,
        1.2986,
        1.23256,
        1.2841,
        1.27512,
        1.2653,
        1.22031,
        1.23254,
        1.28425,
        1.30475,
        1.27161,
        1.21159,
        1.24638,
        1.28688,
        1.27342,
        1.29101,
        1.30965,
        1.30344,
        1.2552,
        1.2883,
        1.24237,
        1.26127,
        1.3146,
        1.26707,
        1.30107,
        1.25133,
        1.25966,
        1.26955,
        1.29928,
        1.2658,
        1.27121,
        1.23981,
        1.23412,
        1.2864,
        1.2514,
        1.30132,
        1.24585,
        1.27961,
        1.25655,
        1.28997,
        1.22318,
        1.28182,
        1.22886,
        1.28486,
        1.29376,
        1.24648,
        1.27453,
        1.23238,
        1.28328,
        1.2635,
        1.28537,
        1.27951,
        1.28603,
        1.26842,
        1.29229,
        1.27767,
        1.2806,
        1.319,
        1.27757,
        1.24962,
        1.27013,
        1.30343,
        1.3221,
        1.25063,
        1.25241,
        1.29698,
        1.29649,
        1.30599,
        1.26071,
        1.29304,
        1.27976,
        1.26299,
        1.29008,
        1.28692,
        1.31534,
        1.2935,
        1.26439,
        1.28157,
        1.28751,
        1.25733,
        1.24631,
        1.26536,
        1.2811,
        1.31753,
        1.31693,
        1.32169,
        1.31065,
        1.29711,
        1.3201,
        1.36063,
        1.29236,
        1.30161,
        1.31506,
        1.28211,
        1.27643,
        1.24921,
        1.34308,
        1.29411,
        1.29824,
        1.32211,
        1.32955,
        1.33203,
        1.27246,
        1.30297,
        1.32281,
        1.32652,
        1.3247,
        1.2629,
        1.33029,
        1.35974,
        1.2842,
        1.32235,
        1.33463,
        1.29905,
        1.33979,
        1.3494,
        1.32778,
        1.33349,
        1.28522,
        1.27757,
        1.23709,
        1.27943,
        1.21177,
        1.20792,
        1.26291,
        1.25177,
        1.23636,
        1.27632,
        1.28865,
        1.2512,
        1.26663,
        1.25004,
        1.21693,
        1.1802,
        1.26349,
        1.28515,
        1.28619,
        1.32244,
        1.36245,
        1.35572,
        1.27069,
        1.16117,
        1.29801,
        1.32905,
        1.18455,
        1.48927,
        1.41509,
        1.4589,
        1.61837,
        1.39947,
        1.22953,
        1.20514,
        1.31672,
        1.31658,
        1.25188,
        1.11017,
        1.24866,
        1.27152,
        1.24581,
        1.22283,
        1.25121,
        1.25471,
        1.36293,
        1.34185,
        1.27603,
        1.21499,
        1.24776,
        1.32009,
        1.30981,
        1.34448,
        1.34487,
        1.28084,
        1.2655,
        1.31109,
        1.29522,
        1.34749,
        1.29519,
        1.32628,
        1.3298,
        1.31997,
        1.33933,
        1.27463,
        1.2843,
        1.23218,
        1.24872,
        1.31093,
        1.29146,
        1.26216,
        1.34182,
        1.36483,
        1.31977,
        1.30605,
        1.31939,
        1.26565,
        1.29319,
        1.36957,
        1.33498,
        1.36937,
        1.40699,
        1.32741,
        1.34894,
        1.34061,
        1.38519,
        1.30321,
        1.28458,
        1.32516,
        1.35063,
        1.35165,
        1.33075,
        1.39289,
        1.43604,
        1.36763,
        1.40551,
        1.39666,
        1.38578,
        1.42797,
        1.44116,
        1.50005,
        1.42878,
        1.37275,
        1.44412,
        1.42614,
        1.39001,
        1.39133,
        1.32628,
        1.24515,
        1.33322,
        1.35551,
        1.33516,
        1.37888,
        1.34801,
        1.30705,
        1.33284,
        1.38367,
        1.24555,
        1.34523,
        1.36082,
        1.32294,
        1.32019,
        1.35541,
        1.3508,
        1.44039,
        1.29589,
        1.40278,
        1.48149,
        1.53079,
        1.38463,
        1.2796,
        1.39998,
        1.40018,
        1.3778,
        1.38232,
        1.30401,
        1.45628,
        1.82711,
        1.57842,
        1.37917,
        1.41152,
        1.62211,
        1.49557,
        1.48113,
        1.28119,
        1.53559,
        1.43328,
        1.32513,
        1.33631,
        1.342,
        1.37353,
        1.28366,
        1.29057,
        1.19135,
        1.35425,
        1.33699,
        1.29533,
        1.26995,
        1.34638,
        1.29655,
        1.27476,
        1.22597,
        1.32198,
        1.35682,
        1.37915,
        1.33874,
        1.45077,
        1.44033,
        1.39585,
        1.37932,
        1.29087,
        1.37956,
        1.35847,
        1.39153,
        1.33766,
        1.39929,
        1.46624,
        1.40097,
        1.33078,
        1.3131,
        1.27025,
        1.42628,
        1.45405,
        1.24687,
        1.33851,
        1.25941,
        1.15196,
        1.32792,
        1.33519,
        1.86127,
        1.52203,
        1.20607,
        1.29731,
        1.32351,
        1.29285,
        1.26874,
        1.29914,
        1.23588,
        1.28889,
        1.23364,
        1.24225,
        1.24082,
        1.35893,
        1.41306,
        1.34634,
        1.31328,
        1.30932,
        1.315,
        1.23088,
        1.27154,
        1.27752,
        1.28223,
        1.34041,
        1.28708,
        1.20112,
        1.269,
        1.24066,
        1.29082,
        1.33668,
        1.21641,
        1.26155,
        1.3247,
        1.35598,
        1.30652,
        1.31926,
        1.30364,
        1.29975,
        1.32353,
        1.27963,
        1.25234,
        1.34534,
        1.339,
        1.29869,
        1.24008,
        1.21913,
        1.24653,
        1.27302,
        1.25177,
        1.32068,
        1.37303,
        1.31132,
        1.22525,
        1.28854,
        1.33232,
        1.3255,
        1.25778,
        1.27318,
        1.24101,
        1.26276,
        1.27986,
        1.31116,
        1.26272,
        1.24232,
        1.24601,
        1.2467,
        1.2884,
        1.31498,
        1.31537,
        1.2012,
        1.23276,
        1.21923,
        1.23482,
        1.27822,
        1.2778,
        1.21314,
        1.24864,
        1.29663,
        1.2804,
        1.27952,
        1.31553,
        1.24868,
        1.25076,
        1.30099,
        1.27597,
        1.24904,
        1.21247,
        1.23769,
        1.29992,
        1.19823,
        1.2557,
        1.28493,
        1.19246,
        1.20881,
        1.26002,
        1.12477,
        1.23975,
        1.25548,
        1.22291,
        1.32226,
        1.26337,
        1.22342,
        1.29624,
        1.20468,
        1.17676,
        1.20241,
        1.25485,
        1.2182,
        1.33302,
        1.21935,
        1.18361,
        1.17869,
        1.22381,
        1.24088,
        1.19524,
        1.22595,
        1.20519,
        1.2294,
        1.22446,
        1.20743,
        1.26512,
        1.27025,
        1.26704,
        1.26838,
        1.22309,
        1.26623,
        1.29828,
        1.26901,
        1.25468,
        1.16555,
        1.24803,
        1.24322,
        1.22873,
        1.1322,
        1.16825,
        1.24297,
        1.24161,
        1.18422,
        1.17726,
        1.14225,
        1.17754,
        1.24962,
        1.14717,
        1.16088,
        1.19845,
        1.32575,
        1.22192,
        1.23329,
        1.2126,
        1.18757,
        1.19163,
        1.31077,
        1.29438,
        1.25817,
        1.20892,
        1.19176,
        1.28577,
        1.17231,
        1.24058,
        1.23057,
        1.1915,
        1.22583,
        1.26548,
        1.27959,
        1.2597,
        1.20866,
        1.19381,
        1.28428,
        1.33649,
        1.29366,
        1.47904,
        1.36445,
        1.29964,
        1.25024,
        1.19049,
        1.2105,
        1.22016,
        1.16624,
        1.20905,
        1.32596,
        1.07651,
        1.23062,
        2.16858,
        1.49042,
        1.43171,
        1.05885,
        1.05271,
        1.2486,
        1.31957,
        1.12466,
        1.2422,
        1.48841,
        1.32327,
        1.32572,
        1.09564,
        1.21763,
        1.29096,
        1.23678,
        1.23483,
        1.04756,
        1.28471,
        1.13161,
        1.2144,
        1.34641,
        1.07735,
        1.11424,
        1.26167,
        1.1181,
        1.14993,
        1.41734,
        1.48334,
        1.78639,
        1.67208,
        1.82969,
        1.66159,
        1.18666,
        1.43724,
        1.29246,
        1.47215,
        1.13358,
        1.17177,
        1.10435,
        1.38345,
        1.34961,
        1.18975,
        1.38636,
        1.28883,
        1.28445,
        1.38483,
        1.45777,
        1.50891,
        1.30738,
        1.17489,
        1.34946,
        1.36251,
        1.26527,
        1.48052,
        1.50543,
        1.48617,
        1.32606,
        1.26803,
        1.31648,
        1.28908,
        1.35123,
        1.27208,
        1.31099,
        1.25847,
        1.30499,
        1.21245,
        1.34078,
        1.42064,
        1.36231,
        1.34132,
        1.27252,
        1.21398,
        1.18582,
        1.29345,
        1.26389,
        1.23123,
        1.29153,
        1.44941,
        1.31609,
        1.30116,
        1.25671,
        1.29658,
        1.37542,
        1.32905,
        1.28734,
        1.37949,
        1.37962,
        1.23267,
        1.35214,
        1.33002,
        1.20466,
        1.20223,
        1.32218,
        1.312,
        1.19596,
        1.29149,
        1.35166,
        1.35076,
        1.24019,
        1.20234,
        1.21305,
        1.20581,
        1.35508,
        1.38532,
        1.27889,
        1.14514,
        1.28533,
        1.20422,
        1.14697,
        1.13904,
        1.29378,
        1.17857,
        1.23489,
        1.13185,
        1.21537,
        1.20667,
        1.14387,
        1.19827,
        1.25384,
        1.33916,
        1.52214,
        1.13817,
        1.22936,
        1.31493,
        1.27561,
        1.22078,
        1.36459,
        1.27511,
        1.25646,
        1.13276,
        1.30143,
        1.18126,
        1.20889,
        1.19065,
        1.15955,
        1.26153,
        1.24479,
        1.23181,
        1.19539,
        1.23822,
        1.34053,
        1.27245,
        1.20032,
        1.21018,
        1.26772,
        1.37356,
        1.29156,
        1.24879,
        1.25962,
        1.27154,
        1.26934,
        1.26336,
        1.31755,
        1.3208,
        1.24275,
        1.27267,
        1.33712,
        1.23915,
        1.22354,
        1.24019,
        1.3725,
        1.30774,
        1.26043,
        1.20283,
        1.3263,
        1.21588,
        1.32771,
        1.32972,
        1.27353,
        1.22064,
        1.32685,
        1.36033,
        1.29104,
        1.18121,
        1.23639,
        1.25296,
        1.28349,
        1.22106,
        1.35176,
        1.26261,
        1.22754,
        1.23892,
        1.3043,
        1.24537,
        1.31944,
        1.30737,
        1.26238,
        1.29994,
        1.31827,
        1.33502,
        1.2794,
        1.31812,
        1.41186,
        1.27017,
        1.33944,
        1.33209,
        1.2267,
        1.35445,
        1.45137,
        1.40824,
        1.30174,
        1.27193,
        1.24865,
        1.36514,
        1.39868,
        1.37712,
        1.29577,
        1.32183,
        1.3558,
        1.24635,
        1.26043,
        1.31802,
        1.21089,
        1.2466,
        1.40955,
        1.26059,
        1.28835,
        1.39871,
        1.31511,
        1.43039,
        1.37463,
        1.34988,
        1.381,
        1.5536,
        1.36164,
        1.41488,
        1.47061,
        1.31876,
        1.36292,
        1.48625,
        1.30069,
        1.37749,
        null,
        1.22204,
        1.29073,
        1.22903,
        1.32499,
        1.31205,
        1.2857,
        1.22541,
        1.24362,
        1.28608,
        1.27827,
        1.29535,
        1.25442,
        1.25829,
        1.22437,
        1.19781,
        1.16871,
        1.19027,
        1.20661,
        1.22312,
        1.24596,
        1.23291,
        1.25979,
        1.2976,
        1.27423,
        1.26309,
        1.26313,
        1.20144,
        1.25886,
        1.32582,
        1.31613,
        1.28604,
        1.26358,
        1.22623,
        1.22591,
        1.24969,
        1.27582,
        1.27177,
        1.22947,
        1.25017,
        1.21328,
        1.20674,
        1.29785,
        1.26557,
        1.25338,
        1.26988,
        1.26258,
        1.28014,
        1.27932,
        1.27871,
        1.29188,
        1.26408,
        1.27167,
        1.24412,
        1.26959,
        1.27527,
        1.30406,
        1.29298,
        1.24208,
        1.26668,
        1.26259,
        1.24113,
        1.26597,
        1.24979,
        1.31477,
        1.32447,
        1.34786,
        1.30068,
        1.29592,
        1.31142,
        1.3201,
        1.23278,
        1.24836,
        1.33433,
        1.33549,
        1.3321,
        1.27129,
        1.20711,
        1.2728,
        1.29752,
        1.29172,
        1.29875,
        1.27293,
        1.27899,
        1.30939,
        1.33384,
        1.29131,
        1.29802,
        1.24681,
        1.22605,
        1.28306,
        1.30383,
        1.2833,
        1.30869,
        1.28509,
        1.27128,
        1.25244,
        1.255,
        1.27971,
        1.32596,
        1.23469,
        1.22954,
        1.28192,
        1.21559,
        1.22135,
        1.22296,
        1.23757,
        1.22309,
        1.22357,
        1.23097,
        1.28391,
        1.25213,
        1.29347,
        1.20823,
        1.16577,
        1.22067,
        1.20422,
        1.25202,
        1.23417,
        1.18303,
        1.25424,
        1.24896,
        1.22387,
        1.15104,
        1.17488,
        1.23352,
        1.25492,
        1.29048,
        1.27204,
        1.24512,
        1.2599,
        1.17885,
        1.24553,
        1.28316,
        1.29346,
        1.33207,
        1.26621,
        1.35105,
        1.33829,
        1.3052,
        1.18473,
        1.20188,
        1.27145,
        1.23345,
        1.26253,
        1.23467,
        1.30944,
        1.36521,
        1.19849,
        1.20398,
        1.14381,
        1.16356,
        1.26278,
        1.32394,
        1.3343,
        1.25275,
        1.30738,
        1.20914,
        1.27767,
        1.27666,
        1.28618,
        1.20748,
        1.20103,
        1.22014,
        1.30319,
        1.32831,
        1.33291,
        1.32941,
        1.31514,
        1.31646,
        1.29352,
        1.25535,
        1.31798,
        1.29501,
        1.34463,
        1.30107,
        1.30025,
        1.30525,
        1.32555,
        1.3185,
        1.31304,
        1.29547,
        1.24446,
        1.33547,
        1.30166,
        1.29922,
        1.32248,
        1.3588,
        1.30864,
        1.25786,
        1.29055,
        1.30185,
        1.29392,
        1.35584,
        1.27389,
        1.28195,
        1.23568,
        1.27913,
        1.24513,
        1.24665,
        1.27226,
        1.21663,
        1.2657,
        1.32193,
        1.24283,
        1.2453,
        1.26712,
        1.2856,
        1.29916,
        1.2475,
        1.21612,
        1.21809,
        1.29015,
        1.28979,
        1.26949,
        1.31182,
        1.31946,
        1.265,
        1.24844,
        1.26523,
        1.21183,
        1.16021,
        1.27138,
        1.27003,
        1.28939,
        1.31664,
        1.26558,
        1.32651,
        1.25874,
        1.2509,
        1.2048,
        1.20409,
        1.20117,
        1.42476,
        1.43209,
        1.25676,
        1.33771,
        1.15021,
        1.35203,
        1.15981,
        1.43629,
        1.49637,
        1.31195,
        1.20301,
        1.14505,
        1.2645,
        1.30957,
        1.2291,
        1.18742,
        1.2818,
        1.34059,
        1.4505,
        1.28198,
        1.27652,
        1.17865,
        1.20538,
        1.25372,
        1.17189,
        1.30087,
        1.27486,
        1.28041,
        1.27347,
        1.27455,
        1.30239,
        1.33696,
        1.40636,
        1.41594,
        1.39639,
        1.31179,
        1.31396,
        1.39105,
        1.25848,
        1.23166,
        1.34873,
        1.27471,
        1.34855,
        1.21771,
        1.22318,
        1.34326,
        1.35541,
        1.36588,
        1.40459,
        1.29546,
        1.22453,
        1.27975,
        1.27505,
        1.27236,
        1.31051,
        1.38356,
        1.34928,
        1.40056,
        1.27661,
        1.25689,
        1.36023,
        1.27636,
        1.27069,
        1.36955,
        1.30541,
        1.28942,
        1.35579,
        1.24772,
        1.18543,
        1.27482,
        1.28114,
        1.30275,
        1.25116,
        1.26454,
        1.33665,
        1.34757,
        1.33125,
        1.32484,
        1.33791,
        1.33891,
        1.3609,
        1.27849,
        1.30355,
        1.31253,
        1.3539,
        1.3329,
        1.31168,
        1.32742,
        1.27128,
        1.26456,
        1.29486,
        1.36123,
        1.38242,
        1.34926,
        1.33496,
        1.34593,
        1.35109,
        1.28317,
        1.28537,
        1.30815,
        1.29001,
        1.35871,
        1.33465,
        1.29646,
        1.32664,
        1.29067,
        1.25613,
        1.28935,
        1.307,
        1.3091,
        1.29565,
        1.29543,
        1.30576,
        1.25901,
        1.26734,
        1.24503,
        1.25529,
        1.25981,
        1.27371,
        1.23945,
        1.25222,
        1.21895,
        1.24863,
        1.26512,
        1.23012,
        1.18599,
        1.20913,
        1.23209,
        1.22793,
        1.24122,
        1.20994,
        1.25069,
        1.23864,
        1.24915,
        1.24387,
        1.28986,
        1.24378,
        1.22144,
        1.21792,
        1.22203,
        1.28808,
        1.2657,
        1.27811,
        1.21999,
        1.25216,
        1.24378,
        1.23599,
        1.2562,
        1.29071,
        1.26808,
        1.25978,
        1.23213,
        1.26279,
        1.22847,
        1.22801,
        1.27809,
        1.24829,
        1.25647,
        1.21209,
        1.24852,
        1.2381,
        1.21464,
        1.239,
        1.30368,
        1.28731,
        1.26684,
        1.28233,
        1.24202,
        1.26172,
        1.22127,
        1.24805,
        1.21339,
        1.21473,
        1.25209,
        1.30603,
        1.24716,
        1.23397,
        1.20144,
        1.20141,
        1.26949,
        1.25506,
        1.26528,
        1.23253,
        1.25208,
        1.23637,
        1.15029,
        1.20107,
        1.18768,
        1.24577,
        1.27179,
        1.23018,
        1.22532,
        1.23983,
        1.23671,
        1.26027,
        1.27274,
        1.24608,
        1.1891,
        1.21616,
        1.22079,
        1.242,
        1.25438,
        1.23449,
        1.26697,
        1.25766,
        1.26956,
        1.3129,
        1.23787,
        1.25855,
        1.28905,
        1.27238,
        1.22757,
        1.31497,
        1.2963,
        1.25856,
        1.25267,
        1.23561,
        1.29829,
        1.3037,
        1.23576,
        1.20743,
        1.17473,
        1.21742,
        1.22306,
        1.20978,
        1.24026,
        1.2737,
        1.27639,
        1.25415,
        1.21273,
        1.27117,
        1.31716,
        1.28309,
        1.22636,
        1.23587,
        1.18069,
        1.23389,
        1.24206,
        1.31406,
        1.31622,
        1.36975,
        1.25937,
        1.28502,
        1.27395,
        1.25693,
        1.25011,
        1.21637,
        1.25094,
        1.30298,
        1.34048,
        1.29025,
        1.23668,
        1.20801,
        1.22006,
        1.26155,
        1.2778,
        1.22959,
        1.23058,
        1.23202,
        1.24499,
        1.21747,
        1.15372,
        1.22449,
        1.25448,
        1.24716,
        1.23163,
        1.21842,
        1.29139,
        1.22617,
        1.24849,
        1.2675,
        1.29499,
        1.23769,
        1.25939,
        1.26697,
        1.28244,
        1.25104,
        1.23706,
        1.25176,
        1.25789,
        1.25722,
        1.24109,
        1.26274,
        1.27131,
        1.26065,
        1.20542,
        1.24189,
        1.24926,
        1.2749,
        1.31951,
        1.29801,
        1.31747,
        1.29483,
        1.2783,
        1.28694,
        1.26733,
        1.26393,
        1.255,
        1.29558,
        1.24526,
        1.28506,
        1.34571,
        1.29208,
        1.29105,
        1.24726,
        1.31966,
        1.30514,
        1.3232,
        1.31975,
        1.27608,
        1.29782,
        1.2803,
        1.33453,
        1.33543,
        1.29646,
        1.28,
        1.34329,
        1.33765,
        1.30313,
        1.29954,
        1.27769,
        1.27234,
        1.30643,
        1.35535,
        1.31157,
        1.26765,
        1.25061,
        1.27602,
        1.33337,
        1.30738,
        1.28383,
        1.24568,
        1.24854,
        1.2734,
        1.29936,
        1.25546,
        1.2278,
        1.26471,
        1.24513,
        1.31588,
        1.31687,
        1.30561,
        1.28922,
        1.25397,
        1.24646,
        1.26691,
        1.28311,
        1.2155,
        1.27024,
        1.30159,
        1.29153,
        1.2642,
        1.2141,
        1.28719,
        1.268,
        1.30081,
        1.26339,
        1.24073,
        1.27218,
        1.26397,
        1.23102,
        1.27924,
        1.2258,
        1.22855,
        1.23097,
        1.24514,
        1.27816,
        1.23208,
        1.28097,
        1.26603,
        1.3178,
        1.28939,
        1.28052,
        1.24347,
        1.19587,
        1.25023,
        1.21988,
        1.27357,
        1.20454,
        1.17277,
        1.22459,
        1.31179,
        1.36911,
        1.35456,
        1.30895,
        1.2496,
        1.29787,
        1.36247,
        1.57409,
        1.62765,
        1.5968,
        1.7187,
        1.57722,
        1.49237,
        1.3089,
        1.23632,
        1.14954,
        1.25035,
        1.29976,
        1.36333,
        1.27544,
        1.32309,
        1.38371,
        1.35901,
        1.29977,
        1.27149,
        1.2505,
        1.31496,
        1.33042,
        1.31985,
        1.33524,
        1.24061,
        1.28327,
        1.30526,
        1.31165,
        1.34003,
        1.23982,
        1.25309,
        1.24041,
        1.28964,
        1.3277,
        1.29895,
        1.32685,
        1.3389,
        1.29337,
        1.27027,
        1.31785,
        1.25199,
        1.26417,
        1.2752,
        1.30898,
        1.32593,
        1.3233,
        1.30442,
        1.27428,
        1.2778,
        1.37374,
        1.32828,
        1.24599,
        1.29191,
        1.28828,
        1.2558,
        1.30485,
        1.33193,
        1.30502,
        1.30931,
        1.26159,
        1.28602,
        1.31043,
        1.25059,
        1.25303,
        1.23381,
        1.2276,
        1.22335,
        1.26074,
        1.30221,
        1.30477,
        1.27727,
        1.27052,
        1.30277,
        1.26552,
        1.27443,
        1.30436,
        1.21825,
        1.22561,
        1.25418,
        1.24114,
        1.27683,
        1.25417,
        1.18035,
        1.21159,
        1.24692,
        1.26648,
        1.22584,
        1.21982,
        1.22689,
        1.21002,
        1.21519,
        1.23743,
        1.28723,
        1.23342,
        1.18666,
        1.21115,
        1.20443,
        1.22561,
        1.20144,
        1.2412,
        1.22904,
        1.19837,
        1.22455,
        1.20082,
        1.20036,
        1.23315,
        1.24818,
        1.29298,
        1.27047,
        1.25101,
        1.28348,
        1.30447,
        1.27794,
        1.23352,
        1.24443,
        1.25768,
        1.25679,
        1.31844,
        1.34637,
        1.33428,
        1.31824,
        1.28903,
        1.26516,
        1.28338,
        1.33868,
        1.28819,
        1.27676,
        1.31317,
        1.33061,
        1.26937,
        1.271,
        1.29221,
        1.30034,
        1.27838,
        1.26743,
        1.30642,
        1.31427,
        1.30053,
        1.2841,
        1.28576,
        1.29818,
        1.31274,
        1.33995,
        1.29389,
        1.26309,
        1.24036,
        1.30951,
        1.30032,
        1.28071,
        1.26963,
        1.28425,
        1.28808,
        1.31327,
        1.28501,
        1.27563,
        1.24485,
        1.26431,
        1.28828,
        1.31894,
        1.32306,
        1.32717,
        1.32066,
        1.29251,
        1.28249,
        1.29595,
        1.28041,
        1.28916,
        1.30286,
        1.32999,
        1.31715,
        1.26249,
        1.29243,
        1.26939,
        1.30085,
        1.26522,
        1.2604,
        1.21528,
        1.20199,
        1.237,
        1.26393,
        1.26418,
        1.24191,
        1.25067,
        1.25727,
        1.29334,
        1.28478,
        1.29566,
        1.28593,
        1.22371,
        1.28221,
        1.34334,
        1.2749,
        1.2552,
        1.32997,
        1.24964,
        1.25713,
        1.27613,
        1.31303,
        1.29934,
        1.30526,
        1.23778,
        1.29582,
        1.29063,
        1.32573,
        1.2821,
        1.26363,
        1.30268,
        1.31834,
        1.28954,
        1.31509,
        1.30984,
        1.28155,
        1.3555,
        1.29458,
        1.29646,
        1.30046,
        1.25464,
        1.23641,
        1.30138,
        1.29813,
        1.31286,
        1.33244,
        1.31769,
        1.33881,
        1.29429,
        1.29081,
        1.31164,
        1.30349,
        1.35441,
        1.30404,
        1.34926,
        1.38852,
        1.32542,
        1.32544,
        1.31859,
        1.34452,
        1.35745,
        1.35336,
        1.32893,
        1.36485,
        1.35857,
        1.36568,
        1.33093,
        1.30762,
        1.34653,
        1.3155,
        1.33534,
        1.30765,
        1.28542,
        1.30651,
        1.32528,
        1.30663,
        1.26947,
        1.2559,
        1.33319,
        1.36658,
        1.33785,
        1.29423,
        1.30678,
        1.2893,
        1.33972,
        1.33345,
        1.31585,
        1.30593,
        1.28683,
        1.23642,
        1.3007,
        1.28232,
        1.28622,
        1.28832,
        1.30448,
        1.31331,
        1.30467,
        1.2552,
        1.26747,
        1.25198,
        1.24932,
        1.28266,
        1.30717,
        1.25716,
        1.21429,
        1.23199,
        1.26738,
        1.32056,
        1.30281,
        1.27039,
        1.2558,
        1.25907,
        1.25521,
        1.20018,
        1.21705,
        1.25048,
        1.24372,
        1.24437,
        1.2601,
        1.25014,
        1.22334,
        1.26675,
        1.24068,
        1.25927,
        1.23093,
        1.22284,
        1.28939,
        1.25545,
        1.2688,
        1.28802,
        1.22442,
        1.27635,
        1.23284,
        1.24909,
        1.3023,
        1.25366,
        1.25374,
        1.25243,
        1.23999,
        1.25508,
        1.24075,
        1.22225,
        1.25604,
        1.24624,
        1.26272,
        1.25255,
        1.20272,
        1.191,
        1.24491,
        1.23727,
        1.2104,
        1.25761,
        1.23884,
        1.23137,
        1.25111,
        1.2241,
        1.26116,
        1.2464,
        1.28565,
        1.24023,
        1.27145,
        1.26682,
        1.20905,
        1.2477,
        1.29589,
        1.23105,
        1.26918,
        1.30041,
        1.25321,
        1.27297,
        1.234,
        1.24236,
        1.23975,
        1.29551,
        1.27263,
        1.2675,
        1.25969,
        1.262,
        1.22708,
        1.24771,
        1.26578,
        1.26543,
        1.25435,
        1.25327,
        1.28453,
        1.27074,
        1.29566,
        1.24176,
        1.18789,
        1.22894,
        1.24998,
        1.20231,
        1.22687,
        1.27238,
        1.22419,
        1.25173,
        1.22916,
        1.26602,
        1.24901,
        1.26235,
        1.25141,
        1.24459,
        1.26347,
        1.26484,
        1.2594,
        1.29013,
        1.27712,
        1.25401,
        1.25692,
        1.25164,
        1.25231,
        1.25754,
        1.27782,
        1.29803,
        1.31464,
        1.26085,
        1.25718,
        1.2915,
        1.28839,
        1.28448,
        1.26111,
        1.26746,
        1.29178,
        1.25212,
        1.27599,
        1.26437,
        1.23134,
        1.29128,
        1.27267,
        1.24412,
        1.28554,
        1.26723,
        1.28444,
        1.27532,
        1.24799,
        1.25608,
        1.28545,
        1.24432,
        1.23995,
        1.2044,
        1.23112,
        1.20982,
        1.21469,
        1.26024,
        1.25235,
        1.25821,
        1.23713,
        1.27535,
        1.26399,
        1.26784,
        1.27053,
        1.26818,
        1.27733,
        1.28131,
        1.24872,
        1.21494,
        1.26154,
        1.29347,
        1.23624,
        1.20735,
        1.26668,
        1.25225,
        1.3035,
        1.31536,
        1.30184,
        1.29484,
        1.23496,
        1.2633,
        1.23145,
        1.2957,
        1.25431,
        1.20591,
        1.28904,
        1.2488,
        1.24098,
        1.25586,
        1.25829,
        1.25228,
        1.2623,
        1.24603,
        1.23408,
        1.27983,
        1.28225,
        1.26686,
        1.28804,
        1.29847,
        1.29095,
        1.25779,
        1.28706,
        1.3353,
        1.29872,
        1.26611,
        1.28072,
        1.35359,
        1.3015,
        1.27903,
        1.25592,
        1.29635,
        1.28149,
        1.25429,
        1.30783,
        1.30309,
        1.40896,
        1.2686,
        1.30978,
        1.24696,
        1.32631,
        1.27934,
        1.30332,
        1.32342,
        1.31041,
        1.32379,
        1.26674,
        1.27285,
        1.30376,
        1.26544,
        1.29033,
        1.28558,
        1.28746,
        1.28222,
        1.2777,
        1.29782,
        1.30269,
        1.26433,
        1.29908,
        1.33433,
        1.31478,
        1.27991,
        1.24746,
        1.25923,
        1.25886,
        1.24885,
        1.23083,
        1.27711,
        1.29865,
        1.2604,
        1.26839,
        1.3159,
        1.28202,
        1.27955,
        1.26449,
        1.22112,
        1.23881,
        1.21371,
        1.31282,
        1.29062,
        1.24181,
        1.29539,
        1.25968,
        1.25458,
        1.23937,
        1.26745,
        1.27504,
        1.27264,
        1.29239,
        1.27383,
        1.27793,
        1.22844,
        1.26967,
        1.24124,
        1.26756,
        1.28021,
        1.26009,
        1.23273,
        1.23307,
        1.27759,
        1.3033,
        1.27246,
        1.33224,
        1.29434,
        1.2935,
        1.27364,
        1.27182,
        1.27194,
        1.29978,
        1.34407,
        1.26887,
        1.24849,
        1.28224,
        1.31756,
        1.27563,
        1.24012,
        1.24898,
        1.24676,
        1.28387,
        1.25218,
        1.22276,
        1.2719,
        1.3095,
        1.27985,
        1.23851,
        1.25377,
        1.25487,
        1.2437,
        1.29122,
        1.22353,
        1.26925,
        1.27536,
        1.2812,
        1.27626,
        1.28027,
        1.27883,
        1.30042,
        1.29604,
        1.26724,
        1.21798,
        1.25528,
        1.28145,
        1.24501,
        1.26447,
        1.26817,
        1.21582,
        1.25956,
        1.28355,
        1.25333,
        1.28849,
        1.23451,
        1.24315,
        1.24006,
        1.24464,
        1.26222,
        1.29049,
        1.25061,
        1.30448,
        1.26834,
        1.22802,
        1.22229,
        1.27317,
        1.3067,
        1.29563,
        1.30232,
        1.26741,
        1.26442,
        1.23483,
        1.25656,
        1.28215,
        1.27657,
        1.29437,
        1.3027,
        1.29598,
        1.225,
        1.29729,
        1.33386,
        1.28157,
        1.24605,
        1.22498,
        1.22367,
        1.30974,
        1.28181,
        1.28267,
        1.30867,
        1.26434,
        1.30747,
        1.30253,
        1.30753,
        1.23805,
        1.23284,
        1.26615,
        1.30896,
        1.28972,
        1.23303,
        1.2612,
        1.32894,
        1.31085,
        1.27828,
        1.27044,
        1.21378,
        1.24931,
        1.27075,
        1.2763,
        1.21262,
        1.21345,
        1.31339,
        1.29193,
        1.25895,
        1.25877,
        1.27119,
        1.26206,
        1.2371,
        1.2639,
        1.24535,
        1.22247,
        1.26156,
        1.29383,
        1.33312,
        1.25168,
        1.21297,
        1.26071,
        1.22549,
        1.23961,
        1.24466,
        1.30216,
        1.22728,
        1.25113,
        1.31548,
        1.28256,
        1.21038,
        1.24347,
        1.26637,
        1.22871,
        1.25863,
        1.26011,
        1.26617,
        1.22697,
        1.22267,
        1.22677,
        1.3196,
        1.32379,
        1.29449,
        1.33925,
        1.32042,
        1.35892,
        1.34797,
        1.3419,
        1.36589,
        1.25809,
        1.26992,
        1.32635,
        1.34859,
        1.29538,
        1.31338,
        1.33751,
        1.35134,
        1.34155,
        1.31372,
        1.32531,
        1.3301,
        1.29567,
        1.33456,
        1.37209,
        1.25779,
        1.39792,
        1.37769,
        1.30775,
        1.3328,
        1.33394,
        1.33442,
        1.33938,
        1.30441,
        1.30056,
        1.25751,
        1.2874,
        1.308,
        1.3284,
        1.35215,
        1.28352,
        1.33591,
        1.32504,
        1.31307,
        1.29372,
        1.27767,
        1.31986,
        1.3273,
        1.28894,
        1.2715,
        1.2835,
        1.30825,
        1.28807,
        1.31588,
        1.28845,
        1.24295,
        1.29645,
        1.30931,
        1.28668,
        1.23419,
        1.31435,
        1.32838,
        1.29124,
        1.30117,
        1.23668,
        1.22721,
        1.22272,
        1.22996,
        1.22662,
        1.22146,
        1.23745,
        1.27327,
        1.30086,
        1.26626,
        1.23753,
        1.29501,
        1.34985,
        1.31663,
        1.26993,
        1.30799,
        1.30667,
        1.29261,
        1.26879,
        1.27401,
        1.27442,
        1.30171,
        1.32822,
        1.32944,
        1.28737,
        1.33714,
        1.32896,
        1.2633,
        1.32133,
        1.25136,
        1.29648,
        1.36428,
        1.33566,
        1.26475,
        1.31279,
        1.36857,
        1.38015,
        1.33855,
        1.40699,
        1.38194,
        1.34841,
        1.33021,
        1.30117,
        1.35128,
        1.2975,
        1.37545,
        1.32111,
        1.32249,
        1.29936,
        1.31961,
        1.33998,
        1.27528,
        1.32116,
        1.33107,
        1.23542,
        1.26107,
        1.36687,
        1.36024,
        1.3412,
        1.34537,
        1.39359,
        1.39652,
        1.28161,
        1.31303,
        1.32878,
        1.27699,
        1.19598,
        1.26826,
        1.39596,
        1.33016,
        1.3345,
        1.27013,
        1.30682,
        1.27209,
        1.20355,
        1.26014,
        1.35318,
        1.47358,
        1.24448,
        1.28706,
        1.51693,
        1.45921,
        1.34178,
        1.37969,
        1.20866,
        1.50838,
        1.53928,
        1.34262,
        1.31648,
        1.46883,
        1.68369,
        1.87698,
        1.35441,
        1.473,
        1.12098,
        1.21923,
        1.27827,
        1.26597,
        1.36347,
        1.42257,
        1.15928,
        1.33692,
        1.66635,
        1.55055,
        1.16065,
        1.15105,
        1.27773,
        1.1018,
        1.20928,
        1.37458,
        1.32614,
        1.4058,
        1.21255,
        1.24951,
        1.42075,
        1.263,
        1.29702,
        1.35032,
        1.25244,
        1.2877,
        1.2789,
        1.25805,
        1.31774,
        1.41759,
        1.36096,
        1.17483,
        1.22615,
        1.30266,
        1.29718,
        1.146,
        1.21451,
        1.27986,
        1.34274,
        1.23163,
        1.25007,
        1.21617,
        1.28042,
        1.32434,
        1.15448,
        1.12019,
        1.31635,
        1.3597,
        1.40013,
        1.2779,
        1.18472,
        1.31583,
        1.27429,
        1.11953,
        1.27189,
        1.2804,
        1.23325,
        1.322,
        1.2474,
        1.21663,
        1.24284,
        1.26572,
        1.25088,
        1.18695,
        1.21065,
        1.30028,
        1.26374,
        1.27665,
        1.40815,
        1.26371,
        1.27798,
        1.24308,
        1.2151,
        1.26075,
        1.25309,
        1.30036,
        1.21765,
        1.21171,
        1.29896,
        1.34057,
        1.30756,
        1.31748,
        1.24507,
        1.18932,
        1.26623,
        1.29838,
        1.22956,
        1.26668,
        1.29027,
        1.32627,
        1.42501,
        1.37561,
        1.35617,
        1.34917,
        1.32052,
        1.32468,
        1.32024,
        1.32162,
        1.25447,
        1.32513,
        1.37827,
        1.38269,
        1.36131,
        1.41393,
        1.44094,
        1.37287,
        1.34875,
        1.36363,
        1.34983,
        1.40923,
        1.30572,
        1.33112,
        1.36503,
        1.32154,
        1.33854,
        1.33264,
        1.2785,
        1.31146,
        1.33971,
        1.349,
        1.36751,
        1.30274,
        1.29473,
        1.3321,
        1.36233,
        1.35903,
        1.32286,
        1.31914,
        1.30344,
        1.22344,
        1.27092,
        1.22622,
        1.28787,
        1.26775,
        1.33868,
        1.30742,
        1.29098,
        1.29967,
        1.27919,
        1.27966,
        1.30976,
        1.28537,
        1.27709,
        1.23123,
        1.26986,
        1.24605,
        1.28051,
        1.24055,
        1.25634,
        1.23629,
        1.20438,
        1.20094,
        1.25933,
        1.26352,
        1.23424,
        1.27101,
        1.29573,
        1.27548,
        1.23935,
        1.22647,
        1.2195,
        1.21095,
        1.30189,
        1.25993,
        1.20847,
        1.20234,
        1.22522,
        1.27515,
        1.27483,
        1.23673,
        1.22945,
        1.21367,
        1.19785,
        1.23611,
        1.26999,
        1.27334,
        1.2422,
        1.25802,
        1.28128,
        1.25561,
        1.24391,
        1.25156,
        1.29725,
        1.24107,
        1.23596,
        1.28609,
        1.26254,
        1.27411,
        1.22686,
        1.20377,
        1.2893,
        1.22824,
        1.22483,
        1.26239,
        1.2642,
        1.33673,
        1.23364,
        1.25283,
        1.25635,
        1.24003,
        1.22244,
        1.31322,
        1.26163,
        1.33017,
        1.25869,
        1.29215,
        1.23868,
        1.20836,
        1.20825,
        1.3034,
        1.34218,
        1.2252,
        1.25448,
        1.26073,
        1.19336,
        1.21972,
        1.18161,
        1.28688,
        1.29562,
        1.26774,
        1.34886,
        1.28059,
        1.28963,
        1.25031,
        1.26091,
        1.28799,
        1.31617,
        1.35967,
        1.29518,
        1.25195,
        1.27373,
        1.28801,
        1.23475,
        1.33214,
        1.3785,
        1.38685,
        1.3134,
        1.33772,
        1.34947,
        1.29005,
        1.25501,
        1.25885,
        1.26102,
        1.31075,
        1.29971,
        1.19561,
        1.23804,
        1.24975,
        1.30523,
        1.23971,
        1.27258,
        1.22972,
        1.2848,
        1.28438,
        1.26674,
        1.2382,
        1.22355,
        1.24229,
        1.25839,
        1.32653,
        1.29683,
        1.24255,
        1.26359,
        1.24664,
        1.29358,
        1.26337,
        1.28562,
        1.21677,
        1.23313,
        1.27346,
        1.2505,
        1.17201,
        1.20095,
        1.24457,
        1.23941,
        1.2491,
        1.28548,
        1.22913,
        1.24199,
        1.3157,
        1.24795,
        1.24259,
        1.23307,
        1.30137,
        1.28071,
        1.25387,
        1.19621,
        1.30311,
        1.24539,
        1.15069,
        1.16601,
        1.32035,
        1.27068,
        1.30236,
        1.30157,
        1.25257,
        1.24227,
        1.25003,
        1.31991,
        1.26507,
        1.22569,
        1.2397,
        1.23631,
        1.29631,
        1.25642,
        1.21332,
        1.21625,
        1.30322,
        1.17708,
        1.28751,
        1.20796,
        1.24906,
        1.25713,
        1.20623,
        1.36017,
        1.19757,
        1.20197,
        1.26987,
        1.22818,
        1.15724,
        1.22509,
        1.24774,
        1.24016,
        1.27842,
        1.22008,
        1.20297,
        1.19909,
        1.25553,
        1.30901,
        1.28519,
        1.24503,
        1.14533,
        1.29171,
        1.24502,
        1.17931,
        1.22225,
        1.30568,
        1.22854,
        1.21256,
        1.20169,
        1.1552,
        1.20648,
        1.24728,
        1.27904,
        1.22989,
        1.23337,
        1.25527,
        1.19864,
        1.14415,
        1.27104,
        1.29282,
        1.19642,
        1.259,
        1.19149,
        1.21799,
        1.24064,
        1.17992,
        1.20442,
        1.31142,
        1.14764,
        1.22286,
        1.22066,
        1.2758,
        1.24001,
        1.29905,
        1.26823,
        1.24887,
        1.23358,
        1.22815,
        1.347,
        1.37929,
        1.44666,
        1.30128,
        1.1822,
        1.3005,
        1.20203,
        1.30079,
        1.2918,
        1.23383,
        1.2972,
        1.44805,
        1.25098,
        1.35037,
        1.38709,
        1.32672,
        1.16103,
        1.37771,
        1.30523,
        1.32456,
        1.3466,
        1.21261,
        1.23443,
        1.24661,
        1.26869,
        1.33345,
        1.46985,
        1.34203,
        1.33239,
        1.2886,
        1.2701,
        1.27314,
        1.16675,
        1.28888,
        1.2404,
        1.30341,
        1.34339,
        1.34565,
        1.00989,
        1.09581,
        1.34811,
        1.3904,
        1.17905,
        1.37048,
        1.11026,
        1.51864,
        1.13786,
        1.16674,
        1.54756,
        1.40152,
        1.30398,
        null,
        1.32063,
        1.32706,
        1.35396,
        1.34795,
        1.35349,
        1.37083,
        1.36176,
        1.4165,
        1.36966,
        1.34134,
        1.2997,
        1.32024,
        1.38458,
        1.29241,
        1.29481,
        1.28286,
        1.30803,
        1.32332,
        1.32783,
        1.27634,
        1.29691,
        1.32635,
        1.30834,
        1.38376,
        1.37412,
        1.33367,
        1.31374,
        1.31153,
        1.37239,
        1.41525,
        1.33479,
        1.30619,
        1.35829,
        1.29283,
        1.24907,
        1.33998,
        1.35931,
        1.26132,
        1.25843,
        1.28189,
        1.21956,
        1.28442,
        1.38106,
        1.3559,
        1.26654,
        1.26141,
        1.19679,
        1.25265,
        1.3171,
        1.29089,
        1.26624,
        1.23767,
        1.22376,
        1.33101,
        1.35537,
        1.3282,
        1.30417,
        1.41397,
        1.30034,
        1.30333,
        1.20168,
        1.0742,
        1.28107,
        1.38139,
        1.27596,
        1.26257,
        1.34697,
        1.31847,
        1.25126,
        1.33797,
        1.35816,
        1.27359,
        1.24554,
        1.20436,
        1.19721,
        1.19799,
        1.31862,
        1.32978,
        1.29263,
        1.38338,
        1.27645,
        1.24284,
        1.15577,
        1.29618,
        1.22182,
        1.28887,
        1.2707,
        1.20853,
        1.27352,
        1.31762,
        1.28068,
        1.24453,
        1.29229,
        1.41183,
        1.34106,
        1.41188,
        1.257,
        1.17799,
        1.35365,
        1.42653,
        1.34041,
        1.39717,
        1.48352,
        1.46025,
        1.37786,
        1.30718,
        1.43054,
        1.39531,
        1.46386,
        1.37761,
        1.37509,
        1.44116,
        1.72433,
        1.53245,
        1.50995,
        1.28122,
        1.35374,
        null,
        1.78143,
        1.51818,
        1.49174,
        1.64988,
        1.60813,
        1.54867,
        1.52887,
        1.07792,
        1.37857,
        1.34427,
        1.32274,
        1.31319,
        1.46292,
        1.30115,
        1.33138,
        1.26509,
        1.53984,
        1.18039,
        1.5499,
        1.59314,
        1.45342,
        1.51615,
        1.54916,
        1.47768,
        1.31434,
        1.39252,
        1.2213,
        0.996299,
        1.43875,
        1.43348,
        1.33918,
        1.455,
        1.4427,
        1.42011,
        1.32848,
        1.14402,
        1.1909,
        1.31122,
        1.42901,
        1.44325,
        1.41102,
        1.4026,
        1.43039,
        1.43786,
        1.35204,
        1.32874,
        1.06281,
        1.38109,
        1.328,
        1.34647,
        1.44606,
        1.59718,
        1.31303,
        1.19995,
        1.26005,
        1.36576,
        1.29895,
        1.56875,
        1.63585,
        1.50654,
        1.32127,
        1.3607,
        1.35761,
        1.39203,
        1.4294,
        1.39847,
        1.64874,
        null,
        1.19785,
        1.21715,
        1.21362,
        1.24695,
        1.29923,
        1.21957,
        1.23441,
        1.25393,
        1.51055,
        1.30314,
        1.29777,
        1.26897,
        1.17263,
        1.36253,
        1.44532,
        1.37234,
        1.08711,
        1.2396,
        1.31811,
        1.19892,
        1.31332,
        1.36915,
        1.22019,
        1.32928,
        1.45566,
        1.33473,
        1.15478,
        1.18616,
        1.32987,
        1.2839,
        1.31064,
        1.24875,
        1.27834,
        1.18531,
        1.26048,
        1.24221,
        1.26662,
        1.38723,
        1.32817,
        1.30214,
        1.36927,
        1.22066,
        1.15568,
        1.22954,
        1.23932,
        1.26096,
        1.44424,
        1.42154,
        1.23385,
        1.25605,
        1.3886,
        1.35933,
        1.28007,
        1.35587,
        1.21899,
        1.20901,
        1.45386,
        1.3881,
        1.24783,
        1.34521,
        1.27084,
        1.34742,
        1.27516,
        1.2918,
        1.34534,
        1.24107,
        1.30777,
        1.27327,
        1.31103,
        1.27485,
        1.27417,
        1.30603,
        1.27136,
        1.27149,
        1.27825,
        1.34122,
        1.32472,
        1.25777,
        1.2171,
        1.25623,
        1.22532,
        1.35446,
        1.33729,
        1.34546,
        1.29227,
        1.27043,
        1.29974,
        1.38783,
        1.30269,
        1.37225,
        1.29742,
        1.2572,
        1.33638,
        1.28214,
        1.36431,
        1.39645,
        1.40307,
        1.44309,
        1.3508,
        1.34214,
        1.33001,
        1.31576,
        1.3086,
        1.40359,
        1.32329,
        1.31849,
        1.25168,
        1.29853,
        1.24693,
        1.31202,
        1.26579,
        1.28647,
        1.26503,
        1.25718,
        1.23869,
        1.37056,
        1.29612,
        1.34545,
        1.2697,
        1.21037,
        1.22007,
        1.24091,
        1.26369,
        1.32888,
        1.23663,
        1.21093,
        1.32847,
        1.31787,
        1.20737,
        1.26434,
        1.23508,
        1.18156,
        1.23264,
        1.23284,
        1.10863,
        1.21625,
        1.2746,
        1.32429,
        1.2805,
        1.25923,
        1.27408,
        1.34359,
        1.28515,
        1.2588,
        1.34154,
        1.31891,
        1.29974,
        1.23197,
        1.31202,
        1.29488,
        1.2079,
        1.17426,
        1.27832,
        1.29731,
        1.30385,
        1.27799,
        1.2043,
        1.21427,
        1.37163,
        1.30319,
        1.31391,
        1.25758,
        1.20613,
        1.2945,
        1.29024,
        1.25294,
        1.21463,
        1.21993,
        1.29871,
        1.28848,
        1.30484,
        1.30812,
        1.30887,
        1.29375,
        1.25607,
        1.23885,
        1.22986,
        1.28533,
        1.32724,
        1.35925,
        1.32437,
        1.23073,
        1.23578,
        1.32726,
        1.24603,
        1.27682,
        1.26272,
        1.25366,
        1.25522,
        1.33265,
        1.36549,
        1.30228,
        1.24379,
        1.26482,
        1.28271,
        1.27977,
        1.24009,
        1.36217,
        1.3191,
        1.29358,
        1.28241,
        1.29254,
        1.30682,
        1.30563,
        1.38832,
        1.36862,
        1.33643,
        1.30464,
        1.37328,
        1.27305,
        1.30511,
        1.36303,
        1.29305,
        1.31852,
        1.32069,
        1.3023,
        1.35345,
        1.32634,
        1.30452,
        1.27508,
        1.2814,
        1.31533,
        1.28295,
        1.2881,
        1.24538,
        1.30186,
        1.34457,
        1.33776,
        1.32706,
        1.34549,
        1.32759,
        1.28811,
        1.29624,
        1.26619,
        1.24228,
        1.2947,
        1.33744,
        1.26879,
        1.2868,
        1.23005,
        1.27528,
        1.27766,
        1.31795,
        1.30715,
        1.32186,
        1.30142,
        1.26045,
        1.26245,
        1.31713,
        1.31236,
        1.31341,
        1.35197,
        1.39264,
        1.32449,
        1.39132,
        1.31904,
        1.26376,
        1.3743,
        1.38285,
        1.34379,
        1.33026,
        1.41988,
        1.43936,
        1.39399,
        1.35946,
        1.38748,
        1.40154,
        1.35367,
        1.36209,
        1.3991,
        1.39152,
        1.43309,
        1.35004,
        1.38504,
        1.34977,
        1.32687,
        1.33619,
        1.37455,
        1.34769,
        1.37708,
        1.35661,
        1.34051,
        1.36533,
        1.33489,
        1.33493,
        1.36159,
        1.39373,
        1.39094,
        1.40161,
        1.4044,
        1.38008,
        1.28684,
        1.29738,
        1.34369,
        1.41128,
        1.3178,
        1.29091,
        1.34512,
        1.34202,
        1.33245,
        1.33544,
        1.31299,
        1.32369,
        1.29992,
        1.33304,
        1.36742,
        1.3319,
        1.292,
        1.32299,
        1.40539,
        1.38002,
        1.41048,
        1.36553,
        1.31855,
        1.30573,
        1.33014,
        1.39597,
        1.34933,
        1.29225,
        1.34155,
        1.35282,
        1.32176,
        1.3088,
        1.37836,
        1.34232,
        1.34219,
        1.31736,
        1.32569,
        1.37125,
        1.38185,
        1.34857,
        1.3121,
        1.33634,
        1.34201,
        1.32875,
        1.32025,
        1.35253,
        1.29792,
        1.28809,
        1.31727,
        1.34412,
        1.3096,
        1.33244,
        1.38105,
        1.35947,
        1.32915,
        1.3654,
        1.35832,
        1.37552,
        1.36753,
        1.32098,
        1.33884,
        1.30684,
        1.28917,
        1.34241,
        1.34683,
        1.36925,
        1.35254,
        1.32064,
        1.32879,
        1.35786,
        1.31735,
        1.37907,
        1.36872,
        1.3312,
        1.33127,
        1.32067,
        1.29486,
        1.36622,
        1.36133,
        1.43219,
        1.36607,
        1.3547,
        1.37933,
        1.34846,
        1.39005,
        1.38676,
        1.32998,
        1.3362,
        1.40233,
        1.39286,
        1.3577,
        1.32012,
        1.29897,
        1.33299,
        1.32603,
        1.34127,
        1.37413,
        1.34494,
        1.34856,
        1.30476,
        1.3123,
        1.38414,
        1.33901,
        1.37593,
        1.32542,
        1.28102,
        1.30904,
        1.43848,
        1.39053,
        1.37218,
        1.32635,
        1.27684,
        1.31494,
        1.36244,
        1.32575,
        1.27496,
        1.28001,
        1.33208,
        1.30901,
        1.29519,
        1.31444,
        1.36187,
        1.35805,
        1.33495,
        1.33235,
        1.34172,
        1.29665,
        1.33491,
        1.29571,
        1.30962,
        1.38456,
        1.33089,
        1.34261,
        1.34429,
        1.39043,
        1.38119,
        1.35821,
        1.34315,
        1.28636,
        1.36878,
        1.34259,
        1.30663,
        1.35931,
        1.34035,
        1.28335,
        1.32354,
        1.28608,
        1.33019,
        1.34087,
        1.27413,
        1.31914,
        1.30267,
        1.34958,
        1.2759,
        1.29158,
        1.28627,
        1.24727,
        1.3108,
        1.28817,
        1.28578,
        1.29874,
        1.30778,
        1.34372,
        1.26929,
        1.29184,
        1.32835,
        1.34859,
        1.36842,
        1.27755,
        1.27878,
        1.26547,
        1.27918,
        1.2998,
        1.25606,
        1.25942,
        1.28176,
        1.31306,
        1.30178,
        1.29766,
        1.33738,
        1.28267,
        1.28608,
        1.25644,
        1.23667,
        1.31763,
        1.32043,
        1.29851,
        1.26611,
        1.30409,
        1.33621,
        1.33705,
        1.35511,
        1.42518,
        1.27578,
        1.31763,
        1.34078,
        1.3439,
        1.33877,
        1.37188,
        1.35968,
        1.37879,
        1.35332,
        1.33699,
        1.38009,
        1.3353,
        1.32072,
        1.36642,
        1.41552,
        1.42329,
        1.36754,
        1.30463,
        1.32884,
        1.31103,
        1.30171,
        1.33098,
        1.32648,
        1.29776,
        1.25006,
        1.3072,
        1.30056,
        1.28772,
        1.28818,
        1.34975,
        1.30446,
        1.36963,
        1.30494,
        1.30073,
        1.35738,
        1.33312,
        1.35429,
        1.37987,
        1.37531,
        1.36052,
        1.35922,
        1.40024,
        1.38307,
        1.36564,
        1.37463,
        1.32439,
        1.33677,
        1.27093,
        1.33867,
        1.34757,
        1.34034,
        1.34389,
        1.3166,
        1.32459,
        1.37604,
        1.31865,
        1.32626,
        1.33345,
        1.30521,
        1.35623,
        1.29508,
        1.21361,
        1.26925,
        1.25672,
        1.28191,
        1.32095,
        1.27723,
        1.25735,
        1.22943,
        1.27828,
        1.29928,
        1.30085,
        1.24512,
        1.25271,
        1.28877,
        1.25146,
        1.2532,
        1.32002,
        1.36055,
        1.27699,
        1.25304,
        1.29561,
        1.27402,
        1.26409,
        1.24895,
        1.28628,
        1.23046,
        1.32223,
        1.27183,
        1.26573,
        1.27559,
        1.27209,
        1.332,
        1.29011,
        1.27366,
        1.29897,
        1.23565,
        1.26356,
        1.33474,
        1.28918,
        1.28926,
        1.29398,
        1.30579,
        1.30709,
        1.28835,
        1.22963,
        1.28793,
        1.32488,
        1.31917,
        1.25876,
        1.2961,
        1.29155,
        1.27145,
        1.25504,
        1.26095,
        1.28402,
        1.28253,
        1.25777,
        1.24416,
        1.25922,
        1.23645,
        1.30362,
        1.29684,
        1.2909,
        1.24834,
        1.22304,
        1.29105,
        1.26898,
        1.29515,
        1.31575,
        1.32564,
        1.31437,
        1.27262,
        1.32067,
        1.3065,
        1.26217,
        1.2498,
        1.23851,
        1.29144,
        1.33982,
        1.32271,
        1.26218,
        1.3266,
        1.27394,
        1.28075,
        1.32104,
        1.28909,
        1.3048,
        1.24585,
        1.28892,
        1.30033,
        1.33996,
        1.30217,
        1.28148,
        1.2385,
        1.30985,
        1.26279,
        1.20537,
        1.27603,
        1.3167,
        1.27944,
        1.24923,
        1.31291,
        1.35818,
        1.30296,
        1.2973,
        1.33555,
        1.28877,
        1.26923,
        1.27921,
        1.20232,
        1.21064,
        1.2761,
        1.29057,
        1.30708,
        1.26516,
        1.31631,
        1.31004,
        1.29515,
        1.27019,
        1.25569,
        1.23733,
        1.29243,
        1.29801,
        1.26395,
        1.28727,
        1.27931,
        1.30114,
        1.31171,
        1.25043,
        1.33255,
        1.37243,
        1.30241,
        1.29367,
        1.29252,
        1.26655,
        1.30228,
        1.28719,
        1.24464,
        1.25606,
        1.21327,
        1.23408,
        1.26419,
        1.25293,
        1.23101,
        1.31991,
        1.30995,
        1.30721,
        1.32888,
        1.31723,
        1.28658,
        1.28264,
        1.24969,
        1.25941,
        1.30829,
        1.2669,
        1.24194,
        1.25445,
        1.30248,
        1.28478,
        1.31413,
        1.3255,
        1.33981,
        1.29025,
        1.31236,
        1.29131,
        1.25953,
        1.28995,
        1.3129,
        1.31638,
        1.32143,
        1.25675,
        1.27257,
        1.30227,
        1.29406,
        1.32773,
        1.29917,
        1.26436,
        1.26054,
        1.31311,
        1.29165,
        1.29619,
        1.27794,
        1.30478,
        1.34458,
        1.32437,
        1.28209,
        1.29419,
        1.35741,
        1.32118,
        1.24488,
        1.28003,
        1.29807,
        1.32714,
        1.27637,
        1.34045,
        1.29986,
        1.25767,
        1.3152,
        1.24146,
        1.24046,
        1.2243,
        1.28696,
        1.27526,
        1.2743,
        1.15639,
        1.23047,
        1.23046,
        1.17399,
        1.19594,
        1.20107,
        1.2702,
        1.24627,
        1.25313,
        1.29742,
        1.28353,
        1.28677,
        1.29296,
        1.30867,
        1.36074,
        1.30688,
        1.24346,
        1.28799,
        1.28183,
        1.21539,
        1.29938,
        1.27323,
        1.30142,
        1.3074,
        1.30203,
        1.30679,
        1.24872,
        1.28933,
        1.23111,
        1.21809,
        1.21562,
        1.33257,
        1.38669,
        1.19249,
        1.28401,
        1.31262,
        1.39043,
        1.39101,
        1.42348,
        1.45518,
        1.3487,
        1.24886,
        1.37849,
        1.48098,
        1.45399,
        1.35691,
        1.22914,
        1.26789,
        1.34311,
        1.25247,
        1.32313,
        1.34094,
        1.43963,
        1.35932,
        1.69292,
        1.74969,
        1.37163,
        1.49467,
        1.20322,
        1.1956,
        1.24914,
        1.28397,
        1.30972,
        1.30496,
        1.48564,
        1.38081,
        1.33708,
        1.45694,
        1.35415,
        1.32529,
        1.42829,
        1.35447,
        1.32467,
        1.52549,
        1.51219,
        1.37273,
        1.40296,
        1.38911,
        1.37127,
        1.44374,
        1.39913,
        1.33323,
        1.44566,
        1.3969,
        1.35301,
        1.4192,
        1.39201,
        1.49139,
        1.40006,
        1.39254,
        1.39826,
        1.43511,
        1.31513,
        1.39561,
        1.38395,
        1.3393,
        1.33041,
        1.30492,
        1.2378,
        1.34361,
        1.3505,
        1.38931,
        1.35375,
        1.2584,
        1.21396,
        1.40268,
        1.31901,
        1.33169,
        1.31352,
        1.2795,
        1.25157,
        1.19189,
        1.23381,
        1.30278,
        1.28176,
        1.22029,
        1.27796,
        1.37389,
        1.26215,
        1.31086,
        1.30359,
        1.35903,
        1.34154,
        1.30695,
        1.32558,
        1.32728,
        1.29526,
        1.31723,
        1.34762,
        1.36633,
        1.33649,
        1.34101,
        1.32651,
        1.25442,
        1.25285,
        1.27328,
        1.28516,
        1.39872,
        1.32607,
        1.3774,
        1.37065,
        1.35289,
        1.29365,
        1.33313,
        1.36975,
        1.41255,
        1.33261,
        1.32474,
        1.32418,
        1.35285,
        1.38928,
        1.29742,
        1.34059,
        1.39015,
        1.40913,
        1.41118,
        1.36748,
        1.32996,
        1.29903,
        1.38461,
        1.36884,
        1.37582,
        1.38021,
        1.37326,
        1.28562,
        1.32067,
        1.45526,
        1.38699,
        1.33606,
        1.31121,
        1.34893,
        1.35654,
        1.34785,
        1.3773,
        1.4143,
        1.34183,
        1.27013,
        1.42699,
        1.52598,
        1.54006,
        1.53309,
        1.35924,
        1.27614,
        1.42993,
        1.41928,
        1.36648,
        1.42753,
        1.37209,
        1.4018,
        1.40252,
        1.45345,
        1.38921,
        1.39288,
        1.43675,
        1.56995,
        1.50712,
        1.45231,
        1.51631,
        1.40838,
        1.44306,
        1.41786,
        1.43717,
        1.54492,
        1.30516,
        1.27485,
        1.21802,
        1.31712,
        1.5682,
        1.24765,
        1.3977,
        1.3601,
        1.37938,
        1.10861,
        1.03312,
        1.31907,
        1.34435,
        1.33156,
        1.77976,
        1.54225,
        1.36193,
        1.48719,
        1.29557,
        1.40973,
        1.22021,
        1.28957,
        1.27444,
        1.28615,
        1.34146,
        1.36974,
        1.48004,
        1.29372,
        1.26329,
        1.19211,
        1.29681,
        1.42446,
        1.4654,
        1.35855,
        1.37059,
        1.42982,
        1.48834,
        1.38224,
        1.2471,
        1.36865,
        1.3142,
        1.36062,
        1.37918,
        1.43444,
        1.49981,
        1.33287,
        1.37429,
        1.31538,
        1.27273,
        1.23247,
        1.28162,
        1.32807,
        1.3695,
        1.32949,
        1.33702,
        1.15561,
        1.23366,
        1.27307,
        1.27869,
        1.22114,
        1.23381,
        1.14686,
        1.27133,
        1.27657,
        1.21996,
        1.25176,
        1.29277,
        1.35719,
        1.2832,
        1.29994,
        1.34839,
        1.39865,
        1.34401,
        1.35493,
        1.33335,
        1.3098,
        1.24486,
        1.24065,
        1.30941,
        1.23382,
        1.31986,
        1.3434,
        1.37415,
        1.36365,
        1.27097,
        1.28713,
        1.2438,
        1.25429,
        1.26532,
        1.34008,
        1.27844,
        1.19711,
        1.30279,
        1.29453,
        1.22075,
        1.33806,
        1.28479,
        1.22433,
        1.3173,
        1.32639,
        1.27883,
        1.29775,
        1.29413,
        1.23799,
        1.29337,
        1.33488,
        1.22993,
        1.20491,
        1.29129,
        1.35697,
        1.31172,
        1.24899,
        1.28639,
        1.27463,
        1.2224,
        1.26311,
        1.35706,
        1.27863,
        1.29381,
        1.27491,
        1.31474,
        1.3041,
        1.28968,
        1.25197,
        1.28568,
        1.27725,
        1.34246,
        1.30805,
        1.25949,
        1.31929,
        1.30614,
        1.22765,
        1.28256,
        1.26419,
        1.27903,
        1.28992,
        1.32655,
        1.32079,
        1.25109,
        1.34152,
        1.24311,
        1.24944,
        1.26378,
        1.25903,
        1.24006,
        1.29621,
        1.35376,
        1.38205,
        1.35933,
        1.21977,
        1.19305,
        1.26715,
        1.29528,
        1.37303,
        1.28994,
        1.25029,
        1.2584,
        1.33579,
        1.28755,
        1.27445,
        1.30522,
        1.30569,
        1.32772,
        1.3646,
        1.29562,
        1.26655,
        1.35855,
        1.31701,
        1.33731,
        1.29836,
        1.35802,
        1.30899,
        1.33417,
        1.27552,
        1.21326,
        1.29264,
        1.27959,
        1.38374,
        1.32003,
        1.26806,
        1.26488,
        1.21776,
        1.31493,
        1.24509,
        1.30659,
        1.25743,
        1.33835,
        1.24554,
        1.2662,
        1.24193,
        1.22439,
        1.24206,
        1.29463,
        1.38733,
        1.31726,
        1.28266,
        1.28668,
        1.27011,
        1.31724,
        1.30833,
        1.33114,
        1.30921,
        1.23445,
        1.24318,
        1.38495,
        1.34403,
        1.25755,
        1.32272,
        1.24764,
        1.27337,
        1.26714,
        1.28775,
        1.27722,
        1.35963,
        1.32628,
        1.34625,
        1.31093,
        1.29676,
        1.32735,
        1.38109,
        1.32964,
        1.35037,
        1.36047,
        1.3124,
        1.27923,
        1.31291,
        1.24176,
        1.23131,
        1.31144,
        1.2835,
        1.24548,
        1.32476,
        1.22782,
        1.24438,
        1.33012,
        1.27368,
        1.21097,
        1.3153,
        1.32183,
        1.23547,
        1.31952,
        1.32187,
        1.25665,
        1.21843,
        1.22065,
        1.31091,
        1.22079,
        1.30232,
        1.32426,
        1.29466,
        1.42183,
        1.33914,
        1.17674,
        1.39761,
        1.42665,
        1.28833,
        1.46619,
        1.41495,
        1.2363,
        1.33115,
        1.25822,
        1.3183,
        1.32791,
        1.32401,
        1.25015,
        1.14582,
        1.30988,
        1.27435,
        1.28202,
        1.26455,
        1.27658,
        1.29204,
        1.30569,
        1.23318,
        1.25206,
        1.25183,
        1.33983,
        1.33831,
        1.23741,
        1.19919,
        1.31826,
        1.27116,
        1.29406,
        1.28483,
        1.33416,
        1.26435,
        1.29904,
        1.34868,
        1.33451,
        1.34424,
        1.34662,
        1.25731,
        1.29351,
        1.3667,
        1.37658,
        1.34814,
        1.38361,
        1.33517,
        1.33498,
        1.2597,
        1.4058,
        1.33747,
        1.32764,
        1.29642,
        1.32428,
        1.22716,
        1.35491,
        1.337,
        1.29449,
        1.31349,
        1.35491,
        1.28819,
        1.18015,
        1.24337,
        1.33801,
        1.30068,
        1.27616,
        1.27602,
        1.31939,
        1.27733,
        1.30062,
        1.34981,
        1.30915,
        1.31455,
        1.29862,
        1.30073,
        1.2627,
        1.30233,
        1.26719,
        1.22755,
        1.31984,
        1.28585,
        1.33755,
        1.35048,
        1.3675,
        1.27024,
        1.29733,
        1.25797,
        1.2901,
        1.20176,
        1.19995,
        1.30831,
        1.24479,
        1.24326,
        1.35264,
        1.29448,
        1.25897,
        1.22891,
        1.33295,
        1.25071,
        1.29886,
        1.25924,
        1.30521,
        1.26631,
        1.23105,
        1.21271,
        1.3232,
        1.29762,
        1.34843,
        1.26316,
        1.27129,
        1.29054,
        1.32732,
        1.3054,
        1.28626,
        1.2796,
        1.36178,
        1.24947,
        1.25254,
        1.32993,
        1.35131,
        1.3388,
        1.25036,
        1.27845,
        1.30378,
        1.33167,
        1.27436,
        1.24315,
        1.20706,
        1.29437,
        1.31409,
        1.32655,
        1.30456,
        1.32283,
        1.27729,
        1.3927,
        1.27559,
        1.28531,
        1.33459,
        1.31993,
        1.37708,
        1.24779,
        1.25006,
        1.36177,
        1.3153,
        1.30328,
        1.29855,
        1.28855,
        1.3007,
        1.36983,
        1.34363,
        1.22042,
        1.2664,
        1.23396,
        1.25729,
        1.2166,
        1.22091,
        1.27124,
        1.30379,
        1.27357,
        1.2457,
        1.26699,
        1.30599,
        1.30243,
        1.3103,
        1.28069,
        1.34778,
        1.3664,
        1.4045,
        1.35085,
        1.30521,
        1.2866,
        1.34899,
        1.32594,
        1.31784,
        1.32882,
        1.42033,
        1.33521,
        1.43271,
        1.38555,
        1.30498,
        1.34032,
        1.43317,
        1.32913,
        1.34196,
        1.35919,
        1.38324,
        1.37453,
        1.38331,
        1.38914,
        1.33544,
        1.36008,
        1.35644,
        1.43428,
        1.476,
        1.32912,
        1.26425,
        1.41139,
        1.33605,
        1.34066,
        1.38701,
        1.35382,
        1.38408,
        1.33022,
        1.34478,
        1.38577,
        1.36923,
        1.27922,
        1.20628,
        1.35669,
        1.3772,
        1.428,
        1.21476,
        1.35957,
        1.26585,
        1.3709,
        1.3502,
        1.42232,
        1.3131,
        1.29895,
        1.36058,
        1.33137,
        1.38885,
        1.29901,
        1.37255,
        1.34842,
        1.41485,
        1.38487,
        1.34458,
        1.29166,
        1.29734,
        1.38393,
        1.36199,
        1.26503,
        1.29132,
        1.29487,
        1.27733,
        1.37387,
        1.34785,
        1.36088,
        1.29477,
        1.33797,
        1.27455,
        1.27929,
        1.36861,
        1.38338,
        1.36102,
        1.34622,
        1.3591,
        1.3859,
        1.41275,
        1.33615,
        1.26557,
        1.3918,
        1.37335,
        1.37329,
        1.3847,
        1.39844,
        1.29801,
        null,
        1.34907,
        1.28445,
        1.31235,
        1.36677,
        1.46731,
        1.29953,
        1.3483,
        1.43789,
        1.39063,
        1.41736,
        1.40491,
        1.3504,
        1.29144,
        1.29709,
        1.33807,
        1.37171,
        1.32471,
        1.37581,
        1.44245,
        1.40552,
        1.40274,
        1.41699,
        1.3384,
        1.25713,
        1.30309,
        1.34827,
        1.39006,
        1.43133,
        1.36953,
        1.4201,
        1.39653,
        1.36866,
        1.41976,
        1.38674,
        1.35685,
        1.35689,
        1.36201,
        1.36997,
        1.33275,
        1.33817,
        1.38343,
        1.33789,
        1.3513,
        1.45206,
        1.39873,
        1.35552,
        1.34857,
        1.37587,
        1.38513,
        1.36601,
        1.3334,
        1.32665,
        1.40131,
        1.41217,
        1.33035,
        1.32524,
        1.34147,
        1.37146,
        1.4086,
        1.3379,
        1.33463,
        1.32631,
        1.31037,
        1.35648,
        1.31462,
        1.33044,
        1.33396,
        1.35442,
        1.27755,
        1.32164,
        1.25286,
        1.35337,
        1.33968,
        1.27635,
        1.30243,
        1.31333,
        1.27917,
        1.27046,
        1.2735,
        1.34406,
        1.32104,
        1.25342,
        1.31332,
        1.34949,
        1.34177,
        1.34757,
        1.25391,
        1.2894,
        1.25835,
        1.24389,
        1.29573,
        1.31167,
        1.22053,
        1.3082,
        1.37337,
        1.30161,
        1.35622,
        1.34944,
        1.27249,
        1.31535,
        1.32705,
        1.3279,
        1.30871,
        1.25124,
        1.27081,
        1.23417,
        1.25305,
        1.31541,
        1.3493,
        1.38954,
        1.29085,
        1.24162,
        1.25396,
        1.29079,
        1.21415,
        1.34324,
        1.31289,
        1.25592,
        1.29771,
        1.39367,
        1.32565,
        1.26389,
        1.26432,
        1.3989,
        1.3925,
        1.25688,
        1.4391,
        1.45228,
        1.30954,
        1.26368,
        1.33288,
        1.2783,
        1.38113,
        1.42861,
        1.41369,
        1.43102,
        1.3552,
        1.27831,
        1.34775,
        1.4077,
        1.33531,
        1.42127,
        1.31694,
        1.36381,
        1.40731,
        1.27454,
        1.41512,
        1.31769,
        1.43696,
        1.26418,
        1.24072,
        1.45894,
        1.35702,
        1.2991,
        1.38146,
        1.33872,
        1.26523,
        1.21652,
        1.29237,
        1.33386,
        1.35432,
        1.31498,
        1.36402,
        1.2928,
        1.30584,
        1.33932,
        1.27712,
        1.24476,
        1.32544,
        1.38695,
        1.46315,
        1.48359,
        1.48588,
        1.38822,
        1.31296,
        1.31479,
        1.3559,
        1.31189,
        1.31101,
        1.21351,
        1.20637,
        1.43785,
        1.45194,
        1.56165,
        1.47191,
        1.46953,
        1.5092,
        1.5868,
        1.34279,
        1.4707,
        1.48802,
        1.46828,
        1.41776,
        1.37999,
        1.19183,
        1.51276,
        1.44228,
        1.30879,
        1.54731,
        1.40236,
        1.10168,
        1.3646,
        1.3922,
        1.18771,
        null,
        1.24122,
        1.44832,
        1.29217,
        1.37668,
        1.48722,
        1.29448,
        1.32374,
        1.34618,
        1.30337,
        1.32801,
        1.46869,
        1.49509,
        1.36361,
        1.26485,
        1.3236,
        1.30386,
        1.35385,
        1.47021,
        1.40074,
        1.22268,
        1.2064,
        1.36715,
        1.47471,
        1.46216,
        1.31186,
        1.40533,
        1.45231,
        1.30233,
        1.32029,
        1.16415,
        1.27245,
        1.26884,
        1.38927,
        1.51501,
        1.42605,
        1.40719,
        1.38731,
        1.31004,
        1.36693,
        1.37604,
        1.39275,
        1.37211,
        1.35634,
        1.32691,
        1.37634,
        1.35895,
        1.38546,
        1.4108,
        1.38418,
        1.2802,
        1.26795,
        1.35692,
        1.32159,
        1.28777,
        1.31086,
        1.39313,
        1.33554,
        1.25944,
        1.41249,
        1.38398,
        1.29342,
        1.32778,
        1.52822,
        1.43888,
        1.38119,
        1.41097,
        1.34361,
        1.28292,
        1.38854,
        1.36609,
        1.35908,
        1.36195,
        1.38409,
        1.47929,
        1.48571,
        1.41767,
        1.40407,
        1.33307,
        1.35488,
        1.32019,
        1.37087,
        1.36708,
        1.38659,
        1.33338,
        1.30262,
        1.36929,
        1.38731,
        1.38461,
        1.40978,
        1.36763,
        1.33687,
        1.32698,
        1.29797,
        1.33712,
        1.22436,
        1.27087,
        1.39919,
        1.37159,
        1.39472,
        1.27869,
        1.33513,
        1.31016,
        1.33813,
        1.38227,
        1.32041,
        1.3654,
        1.39874,
        1.35352,
        1.36344,
        1.29524,
        1.28002,
        1.44902,
        1.28571,
        1.33104,
        1.33906,
        1.3034,
        1.25234,
        1.28738,
        1.22755,
        1.28251,
        1.29406,
        1.28412,
        1.41349,
        1.41685,
        1.28472,
        1.27521,
        1.30725,
        1.3388,
        1.38219,
        1.35851,
        1.35255,
        1.24852,
        1.33194,
        1.35801,
        1.28212,
        1.23699,
        1.31331,
        1.4177,
        1.33185,
        1.29181,
        1.37714,
        1.35843,
        1.31387,
        1.38078,
        1.35668,
        1.33029,
        1.38791,
        1.36561,
        1.33654,
        1.38598,
        1.40139,
        1.36642,
        1.3372,
        1.37132,
        1.34469,
        1.33478,
        1.34825,
        1.40376,
        1.32142,
        1.32719,
        1.37461,
        1.36072,
        1.28095,
        1.37268,
        1.31876,
        1.40737,
        1.36954,
        1.33262,
        1.32947,
        1.29884,
        1.3569,
        1.3382,
        1.29612,
        1.37095,
        1.29872,
        1.39674,
        1.41041,
        1.42105,
        1.28403,
        1.24033,
        1.3968,
        1.40502,
        1.3658,
        1.37175,
        1.37852,
        1.36125,
        1.41526,
        1.42215,
        1.34452,
        1.32619,
        1.39185,
        1.36357,
        1.39116,
        1.29004,
        1.267,
        1.31374,
        1.32246,
        1.36321,
        1.36637,
        1.26661,
        1.36829,
        1.37427,
        1.31073,
        1.35327,
        1.28512,
        1.32426,
        1.30554,
        1.33925,
        1.25898,
        1.29619,
        1.31773,
        1.33051,
        1.27603,
        1.3066,
        1.29199,
        1.35486,
        1.33479,
        1.38566,
        1.30608,
        1.33513,
        1.30518,
        1.30947,
        1.32347,
        1.33649,
        1.32758,
        1.28263,
        1.34827,
        1.27472,
        1.27245,
        1.30503,
        1.26652,
        1.34385,
        1.32497,
        1.32883,
        1.28827,
        1.25295,
        1.26488,
        1.37242,
        1.29444,
        1.2908,
        1.30045,
        1.31547,
        1.31393,
        1.26129,
        1.3787,
        1.38978,
        1.2994,
        1.32878,
        1.40075,
        1.35982,
        1.43685,
        1.34225,
        1.31404,
        1.44087,
        1.43088,
        1.41435,
        1.38283,
        1.35794,
        1.36564,
        1.40537,
        1.32767,
        1.3518,
        1.32149,
        1.30183,
        1.39015,
        1.3158,
        1.36637,
        1.35527,
        1.33787,
        1.29608,
        1.28473,
        1.32595,
        1.3116,
        1.26569,
        1.31742,
        1.41214,
        1.34449,
        1.28769,
        1.31535,
        1.38765,
        1.36111,
        1.29901,
        1.35591,
        1.26384,
        1.32026,
        1.43938,
        1.38108,
        1.31659,
        1.35928,
        1.30627,
        1.3567,
        1.41991,
        1.38695,
        1.36376,
        1.31444,
        1.30319,
        1.26447,
        1.36894,
        1.3858,
        1.31788,
        1.35783,
        1.34796,
        1.39819,
        1.3114,
        1.32542,
        1.24772,
        1.2328,
        1.3822,
        1.35903,
        1.35051,
        1.41376,
        1.30144,
        1.36215,
        1.32516,
        1.32947,
        1.26458,
        1.2657,
        1.21989,
        1.34588,
        1.28887,
        1.31845,
        1.31789,
        1.34651,
        1.2248,
        1.35008,
        1.36494,
        1.34899,
        1.30799,
        1.39407,
        1.31872,
        1.35419,
        1.27964,
        1.28971,
        1.36002,
        1.28975,
        1.37717,
        1.4195,
        1.42142,
        1.43087,
        1.4139,
        1.40793,
        1.40106,
        1.33356,
        1.33857,
        1.34813,
        1.3477,
        1.40272,
        1.39946,
        1.38959,
        1.30252,
        1.33282,
        1.4017,
        1.30258,
        1.30106,
        1.29198,
        1.35378,
        1.47041,
        1.41008,
        1.41644,
        1.39875,
        1.40372,
        1.26622,
        1.38202,
        1.42465,
        1.41551,
        1.28669,
        1.33066,
        1.30159,
        1.31324,
        1.37702,
        1.42912,
        1.38036,
        1.38004,
        1.36309,
        1.38202,
        1.38894,
        1.44598,
        1.44101,
        1.36276,
        1.34019,
        1.27897,
        1.39626,
        1.41583,
        1.33183,
        1.38247,
        1.37185,
        1.29519,
        1.35758,
        1.33601,
        1.34441,
        1.34635,
        1.35915,
        1.34106,
        1.31653,
        1.37068,
        1.36379,
        1.37914,
        1.38193,
        1.26313,
        1.39501,
        1.36936,
        1.3397,
        1.34112,
        1.36148,
        1.30056,
        1.32992,
        1.32701,
        1.23489,
        1.32658,
        1.39767,
        1.34592,
        1.38059,
        1.36346,
        1.37043,
        1.38387,
        1.38594,
        1.40565,
        1.40603,
        1.33182,
        1.30646,
        1.2803,
        1.24167,
        1.35667,
        1.47049,
        1.41684,
        1.37894,
        1.32455,
        1.3835,
        1.33562,
        1.36907,
        1.32811,
        1.33904,
        1.30847,
        1.2467,
        1.29188,
        1.34019,
        1.38176,
        1.3953,
        1.41694,
        1.40327,
        1.30767,
        1.2919,
        1.34761,
        1.38635,
        1.29233,
        1.31294,
        1.27853,
        1.34743,
        1.40545,
        1.36948,
        1.33796,
        1.39163,
        1.37322,
        1.41343,
        1.37765,
        1.38859,
        1.39627,
        1.31369,
        1.36686,
        1.40479,
        1.40816,
        1.45026,
        1.35042,
        1.42374,
        1.46946,
        1.42676,
        1.45425,
        1.35016,
        1.23107,
        1.3079,
        1.30511,
        1.37412,
        1.36592,
        1.47638,
        1.4351,
        1.43353,
        1.38422,
        1.37768,
        1.45681,
        1.45001,
        1.44836,
        1.49122,
        1.52689,
        1.50629,
        1.55598,
        1.40865,
        1.41656,
        1.4176,
        1.37709,
        1.27183,
        1.36655,
        1.37683,
        1.36571,
        1.39724,
        1.42964,
        1.33496,
        1.43723,
        1.41668,
        1.38389,
        1.37085,
        1.50089,
        1.58547,
        1.49783,
        1.44489,
        1.30671,
        1.40562,
        1.37549,
        1.41871,
        1.40424,
        1.3477,
        1.39964,
        1.38932,
        1.36773,
        1.40075,
        1.38947,
        1.43165,
        1.45275,
        1.40585,
        1.40866,
        1.45161,
        1.24964,
        1.34763,
        1.46814,
        1.34606,
        1.44821,
        1.47358,
        1.33889,
        1.28956,
        1.38223,
        1.44534,
        1.45774,
        1.33447,
        1.40494,
        1.3759,
        1.52611,
        1.39919,
        1.41832,
        1.40219,
        1.37941,
        1.37975,
        1.45387,
        1.36418,
        1.46622,
        1.38811,
        1.29622,
        1.43835,
        1.40405,
        1.27874,
        1.25961,
        1.38033,
        1.39087,
        1.46255,
        1.62974,
        1.51741,
        1.36181,
        1.57408,
        1.52723,
        1.25971,
        1.47457,
        1.60055,
        1.4286,
        1.49532,
        1.40197,
        1.5363,
        1.6584,
        1.46549,
        1.38023,
        1.57038,
        1.17881,
        1.28282,
        1.51531,
        1.43494,
        1.56023,
        1.44754,
        1.62584,
        1.37148,
        1.23438,
        1.29858,
        1.51768,
        1.3334,
        1.18031,
        1.21486,
        1.34259,
        1.35897,
        1.66803,
        1.18745,
        1.18793,
        1.30535,
        1.56172,
        1.52995,
        1.64157,
        1.57336,
        null,
        1.62163,
        1.43922,
        1.73413,
        2.0105,
        1.43069,
        1.24873,
        1.30595,
        1.69941,
        1.33971,
        1.27956,
        1.37783,
        1.41521,
        1.30236,
        1.33232,
        1.42054,
        1.85904,
        1.51009,
        1.3086,
        1.33648,
        1.56898,
        1.52673,
        1.4224,
        1.04657,
        1.05779,
        1.25364,
        1.49819,
        1.18362,
        1.21858,
        1.54102,
        1.48167,
        1.50217,
        1.49378,
        1.62759,
        1.2477,
        1.22561,
        1.40306,
        1.40594,
        1.34072,
        1.27148,
        1.35469,
        1.28595,
        1.36678,
        1.28385,
        1.30667,
        1.17343,
        1.27996,
        1.29344,
        1.25138,
        1.22414,
        1.33134,
        1.43676,
        1.33766,
        1.24177,
        1.24657,
        1.29355,
        1.33604,
        1.43922,
        1.41473,
        1.29014,
        1.27756,
        1.29999,
        1.34277,
        1.35278,
        1.23824,
        1.30397,
        1.38394,
        1.35361,
        1.30348,
        1.21037,
        1.3547,
        1.39553,
        1.37805,
        1.3523,
        1.2838,
        1.28389,
        1.11814,
        1.3954,
        1.37834,
        1.33484,
        1.32484,
        1.31194,
        1.3199,
        1.32985,
        1.46264,
        1.25028,
        1.15664,
        1.40513,
        1.36477,
        1.31962,
        1.32519,
        1.51237,
        1.39875,
        1.47117,
        1.46648,
        1.39266,
        1.37746,
        1.27013,
        1.2416,
        1.26226,
        1.1826,
        1.28816,
        1.44725,
        1.42419,
        1.34302,
        1.2983,
        1.41964,
        1.21567,
        1.31574,
        1.41468,
        1.35426,
        1.40329,
        1.3874,
        1.28104,
        1.36076,
        1.36724,
        1.45846,
        1.31185,
        1.19047,
        1.29179,
        1.40565,
        1.427,
        1.29984,
        1.20842,
        1.33949,
        1.46314,
        1.43304,
        1.34894,
        1.18416,
        1.25946,
        1.18847,
        1.28359,
        1.32644,
        1.46256,
        1.40286,
        1.34931,
        1.44615,
        1.27108,
        1.23108,
        1.44105,
        1.36508,
        1.13161,
        1.2694,
        1.3444,
        1.47911,
        1.43402,
        1.4069,
        1.18021,
        1.3696,
        1.38862,
        1.37619,
        1.50468,
        1.45009,
        1.49373,
        1.24713,
        1.39904,
        1.26583,
        1.59197,
        1.46794,
        1.46914,
        1.47199,
        1.35093,
        1.43084,
        1.50199,
        1.24727,
        1.28029,
        1.30731,
        1.34637,
        1.32335,
        1.47475,
        1.4512,
        1.37561,
        1.46252,
        1.42536,
        1.42006,
        1.46162,
        1.29947,
        1.29489,
        1.41921,
        1.46132,
        1.46898,
        1.49787,
        1.40025,
        1.40754,
        1.28695,
        1.52023,
        1.5573,
        1.44196,
        1.50324,
        1.57372,
        1.3998,
        1.34543,
        1.50445,
        1.589,
        1.58143,
        1.40127,
        1.3275,
        1.60495,
        1.39981,
        1.2982,
        1.51452,
        1.44482,
        1.49089,
        1.35108,
        1.33246,
        1.464,
        1.38265,
        1.32759,
        1.53827,
        1.57583,
        1.42149,
        1.49252,
        1.6211,
        1.6885,
        1.54778,
        1.38754,
        1.10654,
        1.30024,
        1.37726,
        1.48596,
        1.30027,
        1.23551,
        1.31364,
        1.21115,
        1.30526,
        1.41232,
        1.47121,
        1.18667,
        1.38455,
        1.40359,
        1.26793,
        1.07896,
        1.26215,
        1.23831,
        1.23066,
        1.31478,
        1.27912,
        1.42235,
        1.20114,
        1.25538,
        1.19137,
        1.31305,
        1.5386,
        1.19846,
        1.36596,
        1.49389,
        1.62782,
        1.65135,
        1.42149,
        1.51673,
        1.50748,
        1.65168,
        null,
        1.53156,
        1.40526,
        1.15579,
        1.42441,
        1.62145,
        1.51087,
        1.33761,
        1.43097,
        1.41126,
        1.3419,
        1.40589,
        1.60408,
        1.42188,
        1.28363,
        1.13246,
        1.34333,
        1.26997,
        1.47785,
        1.08751,
        1.22595,
        1.2797,
        1.06061,
        1.45106,
        1.35889,
        1.46946,
        1.57173,
        1.26739,
        1.26255,
        0.999985,
        1.24727,
        1.35892,
        1.47715,
        1.33198,
        1.45484,
        1.36861,
        1.58368,
        1.35247,
        1.33126,
        1.30271,
        1.18244,
        1.30758,
        1.31207,
        1.17896,
        1.2527,
        1.54564,
        1.51747,
        2.00981,
        1.69559,
        1.67826,
        2.23329,
        1.53417,
        1.40765,
        1.34613,
        1.27729,
        1.27339,
        1.44489,
        1.35334,
        1.50891,
        1.36443,
        1.2791,
        1.17411,
        1.28136,
        1.4622,
        1.49364,
        1.42403,
        1.42757,
        1.38983,
        1.29578,
        1.48165,
        1.43091,
        1.45574,
        1.49561,
        1.36498,
        1.33006,
        1.27868,
        1.24725,
        1.2107,
        1.34757,
        1.34426,
        1.43385,
        1.31374,
        1.2845,
        1.23746,
        1.34517,
        1.41941,
        1.2777,
        1.2515,
        1.35821,
        1.15125,
        1.26418,
        1.40296,
        1.14296,
        1.24776,
        1.35671,
        1.35523,
        1.38531,
        1.19062,
        1.22777,
        1.40587,
        1.38477,
        1.32916,
        1.28295,
        1.18664,
        1.29676,
        1.22574,
        1.30941,
        1.32003,
        1.4231,
        1.34304,
        1.27994,
        1.40047,
        1.47528,
        1.46152,
        1.32448,
        1.35064,
        1.36938,
        1.3195,
        1.24561,
        1.3444,
        1.35019,
        1.45398,
        1.51379,
        1.44008,
        1.299,
        1.30359,
        1.33312,
        1.3968,
        1.35175,
        1.36049,
        1.29017,
        1.38341,
        1.41701,
        1.41249,
        1.29306,
        1.28698,
        1.33374,
        1.34572,
        1.32915,
        1.35925,
        1.28608,
        1.209,
        1.24288,
        1.27709,
        1.3034,
        1.28755,
        1.39236,
        1.28934,
        1.26809,
        1.28782,
        1.2634,
        1.29266,
        1.33532,
        1.45052,
        1.38245,
        1.37219,
        1.38732,
        1.35123,
        1.30295,
        1.30237,
        1.37021,
        1.34936,
        1.3283,
        1.37214,
        1.3359,
        1.32906,
        1.43533,
        1.49933,
        1.41999,
        1.36696,
        1.2954,
        1.37964,
        1.37201,
        1.41631,
        1.55151,
        1.55368,
        1.44288,
        1.36526,
        1.2979,
        1.38298,
        1.36254,
        1.35884,
        1.338,
        1.43487,
        1.47367,
        1.43144,
        1.35413,
        1.39666,
        1.34781,
        1.37874,
        1.3721,
        1.38341,
        1.38709,
        1.37416,
        1.38983,
        1.49546,
        1.46111,
        1.41296,
        1.45248,
        1.39952,
        1.42831,
        1.57596,
        1.43739,
        1.41631,
        1.4054,
        1.41801,
        1.34804,
        1.45056,
        1.34038,
        1.3306,
        1.28916,
        1.38653,
        1.27752,
        1.3717,
        1.40443,
        1.36547,
        1.29714,
        1.26827,
        1.45413,
        1.28087,
        1.43562,
        1.35074,
        1.17779,
        1.37823,
        1.50819,
        1.17143,
        1.32711,
        1.44003,
        1.43576,
        1.31701,
        1.21467,
        1.27153,
        1.32288,
        1.33654,
        1.24722,
        1.35595,
        1.26862,
        1.3779,
        1.32312,
        1.31798,
        1.32674,
        1.25518,
        1.30737,
        1.29068,
        1.25641,
        1.22875,
        1.25293,
        1.32273,
        1.28526,
        1.30863,
        1.28977,
        1.38117,
        1.35053,
        1.27372,
        1.30435,
        1.30301,
        1.35079,
        1.25325,
        1.34615,
        1.31744,
        1.37475,
        1.308,
        1.33967,
        1.25229,
        1.40146,
        1.38209,
        1.38333,
        1.25872,
        1.33253,
        1.39013,
        1.36765,
        1.31097,
        1.43212,
        1.24812,
        1.35121,
        1.39938,
        1.39123,
        1.28953,
        1.25746,
        1.26998,
        1.3776,
        1.3771,
        1.45436,
        1.32158,
        1.4136,
        1.40543,
        1.25964,
        1.25968,
        1.35153,
        1.29243,
        1.43864,
        1.34767,
        1.36819,
        1.3603,
        1.38405,
        1.27504,
        1.27249,
        1.43476,
        1.32266,
        1.34339,
        1.38996,
        1.33838,
        1.34594,
        1.36101,
        1.29889,
        1.26741,
        1.25229,
        1.29688,
        1.36561,
        1.35091,
        1.30667,
        1.34855,
        1.28071,
        1.29806,
        1.32409,
        1.27074,
        1.36186,
        1.45712,
        1.32754,
        1.35656,
        1.3029,
        1.34731,
        1.29388,
        1.30763,
        1.33233,
        1.32262,
        1.36247,
        1.39025,
        1.45819,
        1.32477,
        1.35092,
        1.37675,
        1.37991,
        1.35421,
        1.34086,
        1.39141,
        1.37688,
        1.47595,
        1.38174,
        1.25272,
        1.25009,
        1.34977,
        1.35819,
        1.30027,
        1.36758,
        1.39198,
        1.42713,
        1.3281,
        1.35911,
        1.36303,
        1.35556,
        1.33399,
        1.3126,
        1.33962,
        1.26507,
        1.39125,
        1.41459,
        1.39066,
        1.30447,
        1.27763,
        1.40196,
        1.34223,
        1.36613,
        1.44043,
        1.29653,
        1.19096,
        1.4023,
        1.34475,
        1.4548,
        1.26249,
        1.40352,
        1.2886,
        1.26903,
        1.32956,
        1.33873,
        1.33931,
        1.32025,
        1.36728,
        1.3218,
        1.34159,
        1.24202,
        1.35306,
        1.21608,
        1.34478,
        1.28776,
        1.29838,
        1.24087,
        1.31761,
        1.3155,
        1.37255,
        1.33191,
        1.34903,
        1.36197,
        1.37444,
        1.31896,
        1.38389,
        1.33217,
        1.28635,
        1.36166,
        1.33543,
        1.38657,
        1.37588,
        1.48895,
        1.45827,
        1.50343,
        1.48839,
        1.2756,
        1.33345,
        1.27424,
        1.40204,
        1.40205,
        1.37576,
        1.39406,
        1.32654,
        1.23371,
        1.65988,
        1.41706,
        1.31336,
        1.34711,
        1.34213,
        1.4847,
        1.2717,
        1.33181,
        null,
        1.37534,
        1.38824,
        1.36553,
        1.32315,
        1.34207,
        1.37956,
        1.3395,
        1.28485,
        1.31093,
        1.30378,
        1.37042,
        1.29,
        1.29895,
        1.41376,
        1.39176,
        1.31956,
        1.33964,
        1.32784,
        1.32938,
        1.38623,
        1.27621,
        1.27081,
        1.30083,
        1.32099,
        1.27477,
        1.2775,
        1.32751,
        1.30107,
        1.29271,
        1.3119,
        1.33151,
        1.23839,
        1.25747,
        1.28012,
        1.22562,
        1.34317,
        1.30399,
        1.31321,
        1.33302,
        1.2605,
        1.32284,
        1.4859,
        1.37023,
        1.27693,
        1.27362,
        1.25382,
        1.26753,
        1.33686,
        1.35589,
        1.37303,
        1.26328,
        1.30958,
        1.2541,
        1.25143,
        1.38748,
        1.39066,
        1.32268,
        1.3099,
        1.31453,
        1.19686,
        1.30472,
        1.37243,
        1.33378,
        1.33504,
        1.36278,
        1.35271,
        1.32539,
        1.28249,
        1.22727,
        1.32984,
        1.324,
        1.32923,
        1.3614,
        1.33123,
        1.4006,
        1.35898,
        1.36157,
        1.32323,
        1.32128,
        1.33504,
        1.29035,
        1.31674,
        1.26555,
        1.35126,
        1.38691,
        1.2677,
        1.31542,
        1.34293,
        1.29266,
        1.31483,
        1.37056,
        1.37575,
        1.37939,
        1.34581,
        1.32064,
        1.35725,
        1.29896,
        1.37146,
        1.4084,
        1.52499,
        1.47445,
        1.44152,
        1.65372,
        1.46526,
        1.32071,
        1.33427,
        1.48915,
        1.31621,
        1.35637,
        1.35049,
        1.27805,
        1.37219,
        1.38141,
        1.25588,
        1.34202,
        1.31404,
        1.35377,
        1.32655,
        1.28207,
        1.2447,
        1.22153,
        1.21942,
        1.33718,
        1.36733,
        1.27381,
        1.25439,
        1.25126,
        1.29896,
        1.29548,
        1.2821,
        1.22093,
        1.27009,
        1.32592,
        1.24693,
        1.27812,
        1.28936,
        1.3373,
        1.2933,
        1.32728,
        1.29615,
        1.28961,
        1.28992,
        1.30515,
        1.2739,
        1.30418,
        1.30186,
        1.28791,
        1.28302,
        1.26503,
        1.27277,
        1.23615,
        1.28152,
        1.26458,
        1.22262,
        1.2256,
        1.25241,
        1.25108,
        1.32534,
        1.27543,
        1.27528,
        1.35429,
        1.23586,
        1.29601,
        1.3285,
        1.31453,
        1.36333,
        1.32264,
        1.28106,
        1.27896,
        1.26757,
        1.29145,
        1.31598,
        1.27435,
        1.36126,
        1.37099,
        1.27395,
        1.29268,
        1.26699,
        1.27819,
        1.28191,
        1.25125,
        1.32349,
        1.33647,
        1.30391,
        1.26683,
        1.27762,
        1.3263,
        1.29158,
        1.30128,
        1.31172,
        1.25337,
        1.18896,
        1.30451,
        1.30344,
        1.25368,
        1.2336,
        1.24181,
        1.23212,
        1.2645,
        1.24605,
        1.18305,
        1.23094,
        1.2144,
        1.20851,
        1.19643,
        1.2394,
        1.27446,
        1.28095,
        1.25107,
        1.18529,
        1.19669,
        1.23362,
        1.24107,
        1.26497,
        1.25093,
        1.27691,
        1.29934,
        1.24241,
        1.23441,
        1.21678,
        1.25093,
        1.23581,
        1.24291,
        1.31638,
        1.35335,
        1.23666,
        1.24195,
        1.23122,
        1.30457,
        1.27699,
        1.30184,
        1.30791,
        1.31864,
        1.3407,
        1.33679,
        1.33799,
        1.32907,
        1.32876,
        1.32951,
        1.36977,
        1.3559,
        1.31149,
        1.31131,
        1.3211,
        1.3299,
        1.33634,
        1.37768,
        1.39221,
        1.40638,
        1.38205,
        1.39449,
        1.39041,
        1.36948,
        1.39925,
        1.31698,
        1.32445,
        1.38434,
        1.40582,
        1.26524,
        1.2603,
        1.28338,
        1.3087,
        1.30717,
        1.30771,
        1.31785,
        1.3425,
        1.2959,
        1.29839,
        1.38624,
        1.33973,
        1.35041,
        1.31237,
        1.27297,
        1.29275,
        1.31326,
        1.34837,
        1.30928,
        1.27265,
        1.34923,
        1.30549,
        1.30535,
        1.3486,
        1.32189,
        1.30376,
        1.27752,
        1.28613,
        1.20004,
        1.28336,
        1.2335,
        1.28351,
        1.30907,
        1.34469,
        1.32931,
        1.32472,
        1.29439,
        1.2557,
        1.26096,
        1.22843,
        1.30533,
        1.3065,
        1.33961,
        1.33955,
        1.32799,
        1.31902,
        1.31503,
        1.2759,
        1.27634,
        1.30846,
        1.28858,
        1.34009,
        1.34665,
        1.36857,
        1.35829,
        1.37029,
        1.32886,
        1.3249,
        1.38845,
        1.35589,
        1.34797,
        1.31636,
        1.34308,
        1.37455,
        1.31909,
        1.27377,
        1.31595,
        1.3404,
        1.3137,
        1.33687,
        1.44527,
        1.36523,
        1.32389,
        1.31073,
        1.26156,
        1.2936,
        1.37791,
        1.36907,
        1.31193,
        1.32769,
        1.34832,
        1.34509,
        1.37209,
        1.31681,
        1.32665,
        1.37296,
        1.35598,
        1.33445,
        1.36743,
        1.39932,
        1.30264,
        1.34473,
        1.37212,
        1.34294,
        1.34002,
        1.32398,
        1.3226,
        1.37698,
        1.37938,
        1.35948,
        1.26411,
        1.31961,
        1.3432,
        1.33954,
        1.38007,
        1.34436,
        1.31613,
        1.27418,
        1.32288,
        1.32659,
        1.35996,
        1.25668,
        1.29749,
        1.33153,
        1.33439,
        1.31004,
        1.29207,
        1.29994,
        1.38617,
        1.26808,
        1.20214,
        1.25658,
        1.28237,
        1.29448,
        1.37923,
        1.32233,
        1.29604,
        1.29675,
        1.29465,
        1.27933,
        1.36839,
        1.30396,
        1.25061,
        1.25515,
        1.31066,
        1.3781,
        1.33786,
        1.2429,
        1.26957,
        1.27476,
        1.30775,
        1.26285,
        1.31599,
        1.31056,
        1.27593,
        1.33074,
        1.32314,
        1.34589,
        1.2934,
        1.27866,
        1.34533,
        1.28908,
        1.30464,
        1.24038,
        1.2659,
        1.24457,
        1.25634,
        1.28299,
        1.29232,
        1.259,
        1.25567,
        1.33071,
        1.36165,
        1.31917,
        1.28318,
        1.30292,
        1.30727,
        1.35807,
        1.32694,
        1.31248,
        1.26921,
        1.27772,
        1.27157,
        1.29228,
        1.31303,
        1.33932,
        1.34688,
        1.29844,
        1.32221,
        1.35109,
        1.37097,
        1.38933,
        1.30938,
        1.33961,
        1.27937,
        1.23837,
        1.34938,
        1.29824,
        1.37972,
        1.35907,
        1.36038,
        1.30198,
        1.31018,
        1.30618,
        1.42724,
        1.34203,
        1.26715,
        1.30989,
        1.36021,
        1.34503,
        1.38092,
        1.43399,
        1.47667,
        1.40478,
        1.25983,
        1.44406,
        1.49749,
        1.2824,
        1.42499,
        1.42904,
        1.42218,
        1.32974,
        1.30991,
        1.33801,
        1.38454,
        1.28192,
        1.2364,
        1.29143,
        1.28154,
        1.27693,
        1.22975,
        1.26187,
        1.29107,
        1.3355,
        1.3268,
        1.28131,
        1.29777,
        1.33347,
        1.34733,
        1.23298,
        1.25906,
        1.34742,
        1.3489,
        1.33923,
        1.2767,
        1.24839,
        1.29901,
        1.34572,
        1.2589,
        1.24912,
        1.33532,
        1.33153,
        1.29354,
        1.24737,
        1.26763,
        1.27295,
        1.29806,
        1.36149,
        1.28749,
        1.29139,
        1.35946,
        1.26998,
        1.27274,
        1.23136,
        1.22953,
        1.32352,
        1.32116,
        1.30487,
        1.32174,
        1.31943,
        1.27144,
        1.35863,
        1.31806,
        1.28574,
        1.29529,
        1.36425,
        1.32286,
        1.32743,
        1.27344,
        1.27173,
        1.32339,
        1.34008,
        1.32564,
        1.28212,
        1.29202,
        1.33618,
        1.31892,
        1.31945,
        1.28539,
        1.30567,
        1.31556,
        1.35129,
        1.29716,
        1.37752,
        1.35975,
        1.24599,
        1.32732,
        1.30905,
        1.26305,
        1.27531,
        1.35424,
        1.36435,
        1.34774,
        1.30739,
        1.31766,
        1.28556,
        1.30036,
        1.32967,
        1.27656,
        1.25811,
        1.24534,
        1.2013,
        1.2617,
        1.26477,
        1.28291,
        1.28734,
        1.19361,
        1.20897,
        1.25988,
        1.33169,
        1.27029,
        1.33387,
        1.2967,
        1.21741,
        1.24536,
        1.20305,
        1.22318,
        1.26019,
        1.25323,
        1.27327,
        1.26707,
        1.304,
        1.31879,
        1.27909,
        1.31463,
        1.20534,
        1.28952,
        1.41017,
        1.29538,
        1.2868,
        1.374,
        1.35121,
        1.24432,
        1.21048,
        1.22598,
        1.23692,
        1.23274,
        1.33309,
        1.3406,
        1.27329,
        1.26558,
        1.23652,
        1.44643,
        1.3343,
        1.32933,
        1.34986,
        1.16314,
        1.2106,
        1.25696,
        1.26419,
        1.30717,
        1.45795,
        1.48951,
        1.50708,
        1.27263,
        1.28758,
        1.29768,
        1.5464,
        1.65843,
        1.62983,
        1.47722,
        1.50988,
        1.53069,
        1.23988,
        1.33964,
        1.30833,
        1.44536,
        1.34947,
        1.42497,
        1.46646,
        1.30298,
        1.38689,
        1.35414,
        1.30198,
        1.29298,
        1.31722,
        1.33243,
        1.43195,
        1.39336,
        1.45881,
        1.40802,
        1.37667,
        1.27773,
        1.25377,
        1.29488,
        1.32531,
        1.24649,
        1.24994,
        1.34825,
        1.3614,
        1.40719,
        1.34097,
        1.3286,
        1.31758,
        1.33621,
        1.30348,
        1.4327,
        1.31655,
        1.27981,
        1.36085,
        1.35234,
        1.38029,
        1.36483,
        1.3871,
        1.3187,
        1.27338,
        1.30859,
        1.36142,
        1.29306,
        1.29818,
        1.29974,
        1.28684,
        1.1959,
        1.30632,
        1.24141,
        1.28837,
        1.35364,
        1.30995,
        1.21786,
        1.33828,
        1.28329,
        1.34305,
        1.35611,
        1.31838,
        1.2605,
        1.30505,
        1.32053,
        1.27905,
        1.26726,
        1.30341,
        1.30632,
        1.36507,
        1.26374,
        1.32186,
        1.25045,
        1.25138,
        1.28376,
        1.26745,
        1.33209,
        1.33887,
        1.21015,
        1.27252,
        1.30947,
        1.35334,
        1.2555,
        1.40841,
        1.37342,
        1.38956,
        1.3406,
        1.31932,
        1.33217,
        1.29605,
        1.31268,
        1.31926,
        1.29004,
        1.30417,
        1.31536,
        1.26327,
        1.31247,
        1.33798,
        1.28085,
        1.33029,
        1.32486,
        1.3499,
        1.37613,
        1.34121,
        1.32121,
        1.34229,
        1.41919,
        1.33381,
        1.27018,
        1.27437,
        1.35993,
        1.26272,
        1.33495,
        1.33229,
        1.33678,
        1.38993,
        1.32995,
        1.28487,
        1.2961,
        1.34525,
        1.26093,
        1.35421,
        1.32188,
        1.35322,
        1.34283,
        1.34918,
        1.2936,
        1.30761,
        1.27497,
        1.32997,
        1.34066,
        1.38694,
        1.32259,
        1.27065,
        1.32229,
        1.37552,
        1.37209,
        1.31963,
        1.31626,
        1.30753,
        1.32469,
        1.38241,
        1.33221,
        1.3435,
        1.32794,
        1.35254,
        1.31798,
        1.34473,
        1.33389,
        1.30608,
        1.25915,
        1.2768,
        1.33545,
        1.26942,
        1.26728,
        1.3072,
        1.32689,
        1.23838,
        1.33579,
        1.25297,
        1.32468,
        1.3383,
        1.26215,
        1.31456,
        1.32023,
        1.28944,
        1.30552,
        1.29314,
        1.29671,
        1.29142,
        1.33117,
        1.24572,
        1.32438,
        1.25074,
        1.23641,
        1.27934,
        1.26939,
        1.26943,
        1.26278,
        1.31962,
        1.25948,
        1.27962,
        1.4371,
        1.37084,
        1.33479,
        1.33825,
        1.33198,
        1.32407,
        1.33,
        1.30355,
        1.32498,
        1.33533,
        1.31671,
        1.31871,
        1.36449,
        1.30185,
        1.29117,
        1.36298,
        1.41237,
        1.34775,
        1.36854,
        1.28413,
        1.30222,
        1.30968,
        1.33388,
        1.36203,
        1.35504,
        1.3141,
        1.31088,
        1.33962,
        1.33821,
        1.32838,
        1.31646,
        1.26157,
        1.29093,
        1.33964,
        1.35487,
        1.342,
        1.35404,
        1.31737,
        1.30293,
        1.31539,
        1.33306,
        1.32208,
        1.35025,
        1.35136,
        1.4099,
        1.42046,
        1.40397,
        1.28913,
        1.30663,
        1.36072,
        1.45233,
        1.37667,
        1.40083,
        1.28471,
        1.277,
        1.40005,
        1.35464,
        1.33495,
        1.30047,
        1.34018,
        1.29295,
        1.25739,
        1.30136,
        1.3562,
        1.29957,
        1.32035,
        1.3157,
        1.29091,
        1.28594,
        1.36121,
        1.33106,
        1.35732,
        1.33868,
        1.30276,
        1.29781,
        1.32009,
        1.31948,
        1.33153,
        1.34197,
        1.31539,
        1.31896,
        1.2967,
        1.23745,
        1.30663,
        1.29535,
        1.31768,
        1.33405,
        1.35129,
        1.36454,
        1.31006,
        1.32572,
        1.39037,
        1.27868,
        1.34863,
        1.3833,
        1.357,
        1.33884,
        1.423,
        1.36593,
        1.36305,
        1.29412,
        1.30928,
        1.36943,
        1.32838,
        1.30684,
        1.32572,
        1.39761,
        1.35684,
        1.31463,
        1.38535,
        1.38378,
        1.28502,
        1.32418,
        1.3035,
        1.29392,
        1.31144,
        1.36747,
        1.40458,
        1.27234,
        1.29067,
        1.37866,
        1.25053,
        1.28962,
        1.29837,
        1.2679,
        1.29803,
        1.29087,
        1.27968,
        1.23936,
        1.1932,
        1.29323,
        1.29408,
        1.31694,
        1.28656,
        1.31553,
        1.36872,
        1.34822,
        1.31717,
        1.35499,
        1.31609,
        1.32108,
        1.32888,
        1.30321,
        1.26915,
        1.29803,
        1.28055,
        1.23377,
        1.30916,
        1.28935,
        1.32523,
        1.27726,
        1.29675,
        1.34651,
        1.32392,
        1.36473,
        1.28947,
        1.30481,
        1.28692,
        1.35457,
        1.32232,
        1.32478,
        1.33332,
        1.31635,
        1.31994,
        1.29848,
        1.30597,
        1.32753,
        1.28864,
        1.35831,
        1.34831,
        1.36917,
        1.31478,
        1.35263,
        1.24974,
        1.29309,
        1.32965,
        1.3433,
        1.34894,
        1.3158,
        1.35695,
        1.40643,
        1.33432,
        1.2957,
        1.28011,
        1.25447,
        1.25749,
        1.34918,
        1.29785,
        1.34597,
        1.33532,
        1.27695,
        1.33466,
        1.35202,
        1.3225,
        1.31279,
        1.3003,
        1.30729,
        1.23703,
        1.24056,
        1.37071,
        1.36208,
        1.29762,
        1.28591,
        1.313,
        1.31012,
        1.26935,
        1.27531,
        1.27124,
        1.24353,
        1.26408,
        1.28454,
        1.30749,
        1.33419,
        1.29807,
        1.32214,
        1.36643,
        1.29823,
        1.29731,
        1.36948,
        1.32292,
        1.28888,
        1.32018,
        1.38375,
        1.37708,
        1.29725,
        1.28646,
        1.35157,
        1.33969,
        1.30974,
        1.3016,
        1.27592,
        1.28111,
        1.35898,
        1.30797,
        1.33296,
        1.33306,
        1.33402,
        1.32726,
        1.30858,
        1.26291,
        1.32466,
        1.27241,
        1.29641,
        1.31139,
        1.3702,
        1.38638,
        1.28274,
        1.291,
        1.33052,
        1.31078,
        1.3673,
        1.31968,
        1.31694,
        1.31522,
        1.36768,
        1.36785,
        1.24945,
        1.25305,
        1.28592,
        1.34213,
        1.27611,
        1.34673,
        1.36742,
        1.26911,
        1.28581,
        1.33121,
        1.33701,
        1.313,
        1.3265,
        1.23092,
        1.23944,
        1.25819,
        1.21501,
        1.27282,
        1.2923,
        1.34511,
        1.31418,
        1.33097,
        1.2697,
        1.29388,
        1.27626,
        1.26782,
        1.3202,
        1.34338,
        1.27623,
        1.2608,
        1.30566,
        1.35635,
        1.30337,
        1.30544,
        1.25617,
        1.30345,
        1.28888,
        1.26667,
        1.26231,
        1.35232,
        1.34209,
        1.25676,
        1.24155,
        1.27924,
        1.26452,
        1.25616,
        1.24572,
        1.27954,
        1.2292,
        1.23156,
        1.27161,
        1.29441,
        1.23788,
        1.25523,
        1.2683,
        1.24036,
        1.1861,
        1.1485,
        1.28913,
        1.2645,
        1.23018,
        1.23789,
        1.29265,
        1.29767,
        1.2464,
        1.26862,
        1.20431,
        1.23665,
        1.28176,
        1.3612,
        1.27289,
        1.3354,
        1.28048,
        1.23739,
        1.23363,
        1.21151,
        1.26848,
        1.368,
        1.29254,
        1.28382,
        1.24138,
        1.2549,
        1.2686,
        1.29429,
        1.30481,
        1.30285,
        1.3676,
        1.29605,
        1.23359,
        1.27476,
        1.30607,
        1.23976,
        1.31951,
        1.34893,
        1.25377,
        1.35967,
        1.35474,
        1.29466,
        1.27823,
        1.23367,
        1.31283,
        1.25253,
        1.2753,
        1.24453,
        1.19709,
        1.25185,
        1.27642,
        1.28841,
        1.2666,
        1.29063,
        1.31516,
        1.20773,
        1.24635,
        1.3199,
        1.23627,
        1.2431,
        1.29862,
        1.24876,
        1.25285,
        1.27096,
        1.25051,
        1.29448,
        1.29262,
        1.25157,
        1.24982,
        1.25114,
        1.26076,
        1.26068,
        1.29076,
        1.33258,
        1.31952,
        1.25889,
        1.19663,
        1.24369,
        1.30478,
        1.25233,
        1.2201,
        1.26507,
        1.24124,
        1.27899,
        1.26806,
        1.19195,
        1.28227,
        1.26597,
        1.2724,
        1.19988,
        1.28733,
        1.25414,
        1.23132,
        1.32405,
        1.3079,
        1.31064,
        1.32866,
        1.30637,
        1.30397,
        1.24514,
        1.23086,
        1.29094,
        1.28786,
        1.25516,
        1.31703,
        1.29575,
        1.26492,
        1.30424,
        1.26089,
        1.28446,
        1.32082,
        1.27613,
        1.27563,
        1.27873,
        1.25957,
        1.22657,
        1.24832,
        1.31997,
        1.29909,
        1.25542,
        1.30019,
        1.19872,
        1.18619,
        1.29225,
        1.28602,
        1.349,
        1.3326,
        1.27299,
        1.3042,
        1.28251,
        1.26243,
        1.32855,
        1.34493,
        1.304,
        1.29466,
        1.28786,
        1.32876,
        1.37145,
        1.36008,
        1.36876,
        1.37835,
        1.30667,
        1.32622,
        1.28233,
        1.35308,
        1.40783,
        1.3129,
        1.27083,
        1.29418,
        1.42589,
        1.32366,
        1.26453,
        1.31698,
        1.28836,
        1.26341,
        1.2216,
        1.28303,
        1.3409,
        1.28933,
        1.29107,
        1.28806,
        1.24641,
        1.24772,
        1.31746,
        1.3445,
        1.32576,
        1.36148,
        1.26727,
        1.20933,
        1.28758,
        1.21702,
        1.22753,
        1.26361,
        1.26761,
        1.30988,
        1.36015,
        1.3607,
        1.27516,
        1.22636,
        1.26717,
        1.30966,
        1.33606,
        1.23855,
        1.29212,
        1.28153,
        1.39603,
        1.30157,
        1.27121,
        1.29762,
        1.25526,
        1.25469,
        1.23434,
        1.27243,
        1.28233,
        1.31572,
        1.33202,
        1.30144,
        1.38183,
        1.26798,
        1.21949,
        1.26227,
        1.37998,
        1.32525,
        1.30532,
        1.29106,
        1.27899,
        1.19519,
        1.26233,
        1.27142,
        1.29068,
        1.24082,
        1.23087,
        1.20576,
        1.20327,
        1.17557,
        1.25834,
        1.16775,
        1.22615,
        1.25285,
        1.19034,
        1.36037,
        1.37609,
        1.22039,
        1.29637,
        1.35232,
        1.2695,
        1.23159,
        1.14668,
        1.29485,
        1.3288,
        1.18811,
        1.21751,
        1.15013,
        1.28158,
        1.21881,
        1.23053,
        1.21988,
        1.30238,
        1.35868,
        1.27283,
        1.2193,
        1.26739,
        1.34334,
        1.3463,
        1.30866,
        1.28227,
        1.30781,
        1.35036,
        1.35434,
        1.33339,
        1.23229,
        1.25885,
        1.332,
        1.36083,
        1.26349,
        1.23437,
        1.38227,
        1.39349,
        1.35738,
        1.39928,
        1.45276,
        1.33013,
        1.4048,
        1.38084,
        1.35333,
        1.3924,
        1.31403,
        1.29545,
        1.35535,
        1.44937,
        1.38179,
        1.351,
        1.36469,
        1.39655,
        1.47218,
        1.35839,
        1.38712,
        1.47685,
        1.40986,
        1.25488,
        1.23147,
        1.27784,
        1.1852,
        1.32043,
        1.34375,
        1.31143,
        1.29916,
        1.3307,
        1.28952,
        1.28673,
        1.2698,
        1.30747,
        1.37916,
        1.34263,
        1.29586,
        1.33153,
        1.38537,
        1.30989,
        1.20263,
        1.29546,
        1.24023,
        1.30906,
        1.35064,
        1.37698,
        1.32144,
        1.36553,
        1.39244,
        1.3777,
        1.23788,
        1.20914,
        1.18501,
        1.30413,
        1.26916,
        1.32388,
        1.3351,
        1.33454,
        1.38079,
        1.37614,
        1.43842,
        1.39488,
        1.35411,
        1.28301,
        1.2599,
        1.30622,
        1.38958,
        1.44398,
        1.44164,
        1.34325,
        1.23995,
        1.37093,
        1.34035,
        1.46038,
        1.45469,
        1.30675,
        1.39954,
        1.38922,
        1.35226,
        1.32957,
        1.36487,
        1.36285,
        1.38362,
        1.31609,
        1.38557,
        1.27459,
        1.42105,
        1.5021,
        1.37142,
        1.42951,
        1.25586,
        1.05188,
        1.34902,
        1.41294,
        1.49197,
        1.37605,
        1.37661,
        1.38624,
        1.34565,
        1.34406,
        1.3286,
        1.40553,
        1.47324,
        1.49317,
        1.4168,
        1.36233,
        1.28391,
        1.23684,
        1.35236,
        1.48367,
        1.42245,
        1.4185,
        1.31952,
        1.31441,
        1.50328,
        1.43201,
        1.39219,
        1.38455,
        1.41789,
        1.36395,
        1.32581,
        1.4532,
        1.37338,
        1.46257,
        1.3337,
        1.34617,
        1.41766,
        1.3731,
        1.17644,
        1.22268,
        1.3563,
        1.32931,
        1.54592,
        1.56286,
        1.49865,
        1.31179,
        1.26486,
        1.29733,
        1.31786,
        1.34313,
        1.42315,
        1.37771,
        1.43026,
        1.52583,
        1.50796,
        1.37176,
        1.32713,
        1.25393,
        1.30229,
        1.35439,
        1.47668,
        1.3134,
        1.41949,
        1.3825,
        1.18433,
        1.26149,
        1.44241,
        1.62809,
        1.36361,
        1.33869,
        1.26476,
        1.25877,
        1.37192,
        1.20978,
        1.22546,
        1.36221,
        1.27304,
        1.27467,
        1.07227,
        1.44069,
        1.23825,
        1.10697,
        1.39311,
        1.6434,
        1.48785,
        1.07877,
        1.06045,
        1.3543,
        1.34999,
        1.33268,
        1.49557,
        1.41959,
        1.26923,
        1.44491,
        1.36019,
        1.47917,
        1.0575,
        1.39809,
        1.37323,
        1.30846,
        1.31285,
        1.54974,
        1.84919,
        1.63147,
        1.78956,
        1.59075,
        1.41784,
        1.55486,
        1.29454,
        1.41018,
        1.36878,
        1.45302,
        1.61637,
        1.49947,
        null,
        1.52553,
        1.58428,
        1.4945,
        1.60301,
        1.34193,
        1.3216,
        1.34989,
        1.55075,
        1.61573,
        1.69717,
        1.23481,
        1.15438,
        1.57053,
        1.32737,
        1.3851,
        1.1824,
        1.35783,
        1.32085,
        1.35455,
        1.35018,
        1.68479,
        1.46126,
        1.12814,
        1.40733,
        1.21394,
        1.1578,
        1.35114,
        1.09949,
        1.31993,
        1.68958,
        1.28025,
        0.990111,
        null,
        1.49348,
        1.49261,
        1.33302,
        1.28151,
        1.42609,
        1.39644,
        1.25159,
        1.32516,
        1.38446,
        1.30009,
        1.2641,
        1.31874,
        1.2957,
        1.35164,
        1.36932,
        1.39534,
        1.34873,
        1.33876,
        1.37667,
        1.43578,
        1.34284,
        1.35942,
        1.2581,
        1.2584,
        1.37842,
        1.43934,
        1.4568,
        1.32361,
        1.42523,
        1.43368,
        1.31349,
        1.44181,
        1.43394,
        1.52185,
        1.45298,
        1.39539,
        1.31915,
        1.58994,
        1.48034,
        1.40719,
        1.5345,
        1.45115,
        1.32795,
        1.38097,
        1.48096,
        1.38208,
        1.26591,
        1.38885,
        1.39868,
        1.37992,
        1.26756,
        1.42155,
        1.42136,
        1.47013,
        1.32096,
        1.22357,
        1.352,
        1.41823,
        1.35512,
        1.33273,
        1.28399,
        1.23336,
        1.09252,
        1.43697,
        1.55253,
        1.24408,
        1.14746,
        1.13901,
        1.37163,
        1.57976,
        1.44013,
        1.43404,
        1.19249,
        1.31266,
        1.4031,
        1.12006,
        1.30716,
        1.42989,
        1.4692,
        1.17022,
        1.12686,
        1.42564,
        1.24553,
        1.23225,
        1.29309,
        1.24536,
        1.10747,
        1.29785,
        1.49453,
        1.47048,
        1.46389,
        1.7378,
        null,
        1.42832,
        1.66544,
        1.57661,
        1.42525,
        1.31836,
        1.38833,
        1.84262,
        1.3352,
        1.1392,
        1.11827,
        1.63097,
        1.37448,
        1.25957,
        1.36749,
        1.29611,
        1.13443,
        1.24319,
        1.44982,
        1.37592,
        1.34538,
        1.15453,
        1.3104,
        1.28817,
        1.33446,
        1.44867,
        1.35199,
        1.28155,
        1.36306,
        1.25605,
        1.33156,
        1.45193,
        1.23458,
        1.26374,
        1.24418,
        1.25931,
        1.44794,
        1.26517,
        1.38982,
        1.30863,
        1.29583,
        1.46334,
        1.28443,
        1.33055,
        1.2618,
        1.19599,
        1.42945,
        1.42114,
        1.23023,
        1.29136,
        1.22648,
        1.36263,
        1.36306,
        1.34279,
        1.42858,
        1.41166,
        1.26277,
        1.34774,
        1.34848,
        1.30847,
        1.44746,
        1.39012,
        1.39466,
        1.34904,
        1.47995,
        1.32725,
        1.45204,
        1.5476,
        1.33696,
        1.38071,
        1.36781,
        1.30367,
        1.36801,
        1.36293,
        1.52647,
        1.37807,
        1.33028,
        1.31526,
        1.30199,
        1.32057,
        1.31975,
        1.30416,
        1.31899,
        1.30017,
        1.44258,
        1.3704,
        1.30663,
        1.23862,
        1.2792,
        1.28927,
        1.34782,
        1.33926,
        1.35671,
        1.32149,
        1.38148,
        1.33123,
        1.29474,
        1.30271,
        1.37243,
        1.44544,
        1.32541,
        1.31277,
        1.36542,
        1.39677,
        1.40789,
        1.34879,
        1.37534,
        1.42311,
        1.34809,
        1.35499,
        1.33172,
        1.3222,
        1.38052,
        1.25003,
        1.44335,
        1.47573,
        1.49939,
        1.28453,
        1.30496,
        1.28798,
        1.39205,
        1.34798,
        1.43671,
        1.33124,
        1.306,
        1.37568,
        1.38837,
        1.44074,
        1.36384,
        1.36043,
        1.321,
        1.37022,
        1.56975,
        1.26294,
        1.46071,
        1.36004,
        1.26162,
        1.34466,
        1.39935,
        1.44295,
        1.37968,
        1.30411,
        1.25388,
        1.28615,
        1.40888,
        1.35627,
        1.51531,
        1.39732,
        1.36036,
        1.42034,
        1.4358,
        1.40046,
        1.38697,
        1.35772,
        1.41172,
        1.43457,
        1.32116,
        1.34733,
        1.34257,
        1.45024,
        1.35647,
        1.35609,
        1.32846,
        1.32578,
        1.31199,
        1.26408,
        1.35019,
        1.38165,
        1.25459,
        1.33348,
        1.43739,
        1.40432,
        1.42666,
        1.48027,
        1.47893,
        1.35342,
        1.3237,
        1.4722,
        1.46173,
        1.43554,
        1.38131,
        1.45299,
        1.43289,
        1.39255,
        1.32418,
        1.43344,
        1.36328,
        1.36683,
        1.383,
        1.45224,
        1.41452,
        1.39112,
        1.43808,
        1.47349,
        1.47816,
        1.42236,
        1.433,
        1.39827,
        1.49441,
        1.40168,
        1.42117,
        1.35753,
        1.31017,
        1.36038,
        1.42096,
        1.44709,
        1.48332,
        1.44678,
        1.40372,
        1.41162,
        1.36765,
        1.40773,
        1.39874,
        1.437,
        1.3168,
        1.36684,
        1.43275,
        1.42891,
        1.45648,
        1.48634,
        1.40368,
        1.35415,
        1.37447,
        1.47013,
        1.47877,
        1.46115,
        1.3716,
        1.38529,
        1.43457,
        1.39538,
        1.38183,
        1.44546,
        1.35962,
        1.3138,
        1.33006,
        1.38998,
        1.44382,
        1.41247,
        1.32409,
        1.29117,
        1.41261,
        1.38352,
        1.45325,
        1.33008,
        1.41501,
        1.36117,
        1.32165,
        1.35429,
        1.45947,
        1.42421,
        1.39258,
        1.31107,
        1.34324,
        1.40762,
        1.43453,
        1.33816,
        1.23914,
        1.37016,
        1.34786,
        1.42587,
        1.34118,
        1.37487,
        1.40749,
        1.39237,
        1.40485,
        1.49664,
        1.41446,
        1.43628,
        1.42912,
        1.43935,
        1.40352,
        1.42731,
        1.43855,
        1.36083,
        1.35729,
        1.36405,
        1.46315,
        1.52594,
        1.4617,
        1.38221,
        1.38168,
        1.4157,
        1.37311,
        1.35234,
        1.39484,
        1.37963,
        1.50745,
        1.51762,
        1.45181,
        1.31903,
        1.33845,
        1.41457,
        1.46468,
        1.48138,
        1.50521,
        1.43762,
        1.53299,
        1.53536,
        1.5055,
        1.44407,
        1.54235,
        1.60687,
        1.4304,
        1.3841,
        1.51756,
        1.51509,
        1.55799,
        1.53213,
        1.59308,
        1.42713,
        1.55486,
        1.55049,
        1.44704,
        1.51474,
        1.5473,
        1.47223,
        1.41277,
        1.46283,
        1.52409,
        1.46141,
        1.39708,
        1.50347,
        1.41006,
        1.41148,
        1.25912,
        1.26557,
        1.4911,
        1.40394,
        1.36115,
        1.37627,
        1.42209,
        1.39272,
        1.30263,
        1.32031,
        1.3725,
        1.44284,
        1.38108,
        1.45641,
        1.35341,
        1.3621,
        1.39363,
        1.39199,
        1.44271,
        1.3998,
        1.38798,
        1.41086,
        1.46635,
        1.37631,
        1.43567,
        1.33322,
        1.34799,
        1.29073,
        1.39962,
        1.40956,
        1.4055,
        1.32775,
        1.38228,
        1.2647,
        1.48016,
        1.87256,
        1.53468,
        1.95733,
        1.94206,
        1.41771,
        1.81846,
        1.43454,
        1.43146,
        1.14202,
        1.27281,
        1.54844,
        1.41003,
        1.56153,
        1.42233,
        1.59317,
        1.56175,
        1.53353,
        1.32178,
        1.40096,
        1.30156,
        1.31118,
        1.33721,
        1.3617,
        1.31797,
        1.33151,
        1.36012,
        1.34197,
        1.42015,
        1.32145,
        1.3097,
        1.44255,
        1.42722,
        1.43738,
        1.51741,
        1.45942,
        1.34503,
        1.40998,
        1.45441,
        1.44483,
        1.42725,
        1.42655,
        1.30646,
        1.42603,
        1.41238,
        1.44497,
        1.34467,
        1.47064,
        1.4306,
        1.47072,
        1.27466,
        1.33191,
        1.42989,
        1.47028,
        1.41226,
        1.43754,
        1.318,
        1.40485,
        1.49352,
        1.46811,
        1.51519,
        1.29839,
        1.37556,
        1.46705,
        1.52859,
        1.34884,
        1.3649,
        1.38103,
        1.27782,
        1.53486,
        1.45059,
        1.62546,
        1.42504,
        1.55596,
        1.45979,
        1.43313,
        1.46436,
        1.47456,
        1.56144,
        1.44598,
        1.47585,
        1.51499,
        1.48889,
        1.30401,
        1.44277,
        1.46983,
        1.293,
        1.42797,
        1.3526,
        1.55389,
        1.36509,
        1.3611,
        1.35791,
        1.39477,
        1.48201,
        1.49861,
        1.4529,
        1.47413,
        1.38688,
        1.41514,
        1.45327,
        1.51095,
        1.49843,
        1.52739,
        1.49167,
        1.45282,
        1.50632,
        1.46445,
        1.18769,
        1.27117,
        1.39769,
        1.49278,
        1.53059,
        1.33226,
        1.4702,
        1.47957,
        1.3677,
        1.29875,
        1.36337,
        1.36069,
        1.32102,
        1.42698,
        1.51356,
        1.33019,
        1.30942,
        1.3926,
        1.35215,
        1.46103,
        1.21683,
        1.27931,
        1.35305,
        1.3515,
        1.46678,
        1.30043,
        1.27759,
        1.34377,
        1.18105,
        1.43865,
        1.4301,
        1.74562,
        1.71772,
        1.28362,
        1.71837,
        1.76706,
        1.30903,
        1.60933,
        1.4262,
        1.61149,
        1.63946,
        1.29675,
        1.2343,
        1.44491,
        1.25011,
        1.35752,
        1.38849,
        1.34771,
        1.55994,
        1.12048,
        1.30616,
        1.45213,
        1.64036,
        1.38479,
        1.3963,
        1.44977,
        1.42407,
        1.34606,
        1.56678,
        1.45007,
        1.45543,
        1.60126,
        1.14792,
        1.31196,
        1.45722,
        1.59796,
        1.32938,
        1.40503,
        1.58903,
        1.26402,
        1.53291,
        1.77492,
        1.48237,
        1.68171,
        1.54157,
        1.43534,
        1.64312,
        1.74522,
        1.20403,
        1.4851,
        1.30088,
        1.37556,
        1.63087,
        1.45368,
        1.49361,
        1.22591,
        1.51373,
        1.35802,
        1.08667,
        1.16922,
        1.5216,
        1.20957,
        1.43838,
        1.39106,
        1.48002,
        1.43891,
        1.23109,
        1.27105,
        1.32627,
        1.55402,
        1.38113,
        1.30761,
        1.18357,
        1.30663,
        1.31697,
        1.83367,
        1.65369,
        1.25189,
        1.40423,
        1.53116,
        1.48333,
        1.59603,
        1.64888,
        null,
        1.71536,
        2.12284,
        1.46896,
        1.47034,
        1.61884,
        1.28197,
        1.32033,
        1.39822,
        1.38473,
        1.52772,
        1.30245,
        1.3869,
        1.61069,
        1.58831,
        1.3807,
        1.46357,
        1.15405,
        1.38579,
        1.53448,
        1.51539,
        1.41774,
        1.49814,
        1.44609,
        1.4423,
        1.44143,
        1.32439,
        1.4065,
        1.37656,
        1.43235,
        1.45962,
        1.26311,
        1.23974,
        1.35183,
        1.43945,
        1.3266,
        1.38234,
        1.42861,
        1.31857,
        1.34969,
        1.26656,
        1.27264,
        1.48921,
        1.47187,
        1.39084,
        1.43949,
        1.44386,
        1.39944,
        1.4016,
        1.33938,
        1.50297,
        1.43669,
        1.39121,
        1.31968,
        1.43907,
        1.51004,
        1.42035,
        1.25471,
        1.36822,
        1.47826,
        1.55709,
        1.43859,
        1.53732,
        1.39969,
        1.46319,
        1.55683,
        1.50842,
        1.53507,
        1.47324,
        1.36242,
        1.33864,
        1.41359,
        1.3181,
        1.38164,
        1.4163,
        1.42863,
        1.48853,
        1.52192,
        1.37514,
        1.42797,
        1.43152,
        1.38611,
        1.32134,
        1.43644,
        1.53622,
        1.43098,
        1.46445,
        1.40125,
        1.44571,
        1.36319,
        1.39347,
        1.36766,
        1.395,
        1.43283,
        1.42121,
        1.37451,
        1.41895,
        1.29625,
        1.39317,
        1.38492,
        1.52258,
        1.33092,
        1.34347,
        1.39342,
        1.48195,
        1.47691,
        1.37933,
        1.3884,
        1.4032,
        1.38838,
        1.37495,
        1.31893,
        1.4494,
        1.52989,
        1.37155,
        1.34387,
        1.33107,
        1.35193,
        1.3761,
        1.26244,
        1.38155,
        1.40624,
        1.31957,
        1.37183,
        1.39155,
        1.40232,
        1.39161,
        1.36032,
        1.35243,
        1.40731,
        1.29533,
        1.35935,
        1.41221,
        1.34024,
        1.42028,
        1.46803,
        1.5119,
        1.43036,
        1.44272,
        1.34278,
        1.41325,
        1.45876,
        1.40468,
        1.36107,
        1.44781,
        1.5248,
        1.45115,
        1.32177,
        1.38255,
        1.38819,
        1.41954,
        1.40072,
        1.40845,
        1.41313,
        1.46324,
        1.49614,
        1.4547,
        1.41577,
        1.39746,
        1.40556,
        1.51848,
        1.47118,
        1.40368,
        1.50657,
        1.5628,
        1.53889,
        1.43105,
        1.41229,
        1.37108,
        1.2949,
        1.46601,
        1.49204,
        1.38224,
        1.46084,
        1.35727,
        1.33405,
        1.49907,
        1.51978,
        1.48712,
        1.52161,
        1.48339,
        1.50432,
        1.4086,
        1.37478,
        1.43732,
        1.39478,
        1.45932,
        1.38187,
        1.43861,
        1.4141,
        1.38048,
        1.43968,
        1.46708,
        1.38367,
        1.47211,
        1.41427,
        1.39591,
        1.37403,
        1.38169,
        1.38696,
        1.37852,
        1.44126,
        1.41895,
        1.37675,
        1.31784,
        1.44103,
        1.5295,
        1.44722,
        1.28135,
        1.28113,
        1.40451,
        1.34628,
        1.40975,
        1.44232,
        1.43534,
        1.41294,
        1.37992,
        1.34044,
        1.33695,
        1.32857,
        1.34104,
        1.32169,
        1.37924,
        1.47937,
        1.38963,
        1.32509,
        1.42493,
        1.40128,
        1.34298,
        1.37178,
        1.39005,
        1.38241,
        1.39919,
        1.35564,
        1.36821,
        1.37015,
        1.39761,
        1.36609,
        1.4394,
        1.44734,
        1.48295,
        1.44278,
        1.3134,
        1.38924,
        1.44378,
        1.37777,
        1.36125,
        1.3877,
        1.42197,
        1.39693,
        1.36063,
        1.3811,
        1.34947,
        1.39586,
        1.3871,
        1.41176,
        1.4789,
        1.38974,
        1.29002,
        1.34378,
        1.37506,
        1.4841,
        1.34927,
        1.35289,
        1.36259,
        1.36228,
        1.27399,
        1.29132,
        1.36071,
        1.37376,
        1.39436,
        1.35214,
        1.34697,
        1.31981,
        1.30274,
        1.29005,
        1.37559,
        1.38532,
        1.4234,
        1.38171,
        1.40078,
        1.46513,
        1.35772,
        1.28614,
        1.41807,
        1.40012,
        1.37806,
        1.34278,
        1.44125,
        1.44739,
        1.39045,
        1.37007,
        1.43732,
        1.40106,
        1.3627,
        1.30964,
        1.43664,
        1.3634,
        1.35941,
        1.35857,
        1.36304,
        1.50197,
        1.39811,
        1.36956,
        1.33218,
        1.28571,
        1.39925,
        1.38017,
        1.40132,
        1.44302,
        1.45205,
        1.35218,
        1.41201,
        1.3722,
        1.40577,
        1.40557,
        1.4206,
        1.40755,
        1.41914,
        1.37427,
        1.40183,
        1.4711,
        1.42581,
        1.438,
        1.40343,
        1.37466,
        1.46441,
        1.44297,
        1.48324,
        1.44415,
        1.45065,
        1.47612,
        1.50197,
        1.41255,
        1.43023,
        1.42901,
        1.43238,
        1.42513,
        1.50796,
        1.46102,
        1.4209,
        1.3511,
        1.46353,
        1.40764,
        1.37691,
        1.40697,
        1.37236,
        1.48135,
        1.41797,
        1.48682,
        1.43751,
        1.53932,
        1.41394,
        1.3791,
        1.41778,
        1.43847,
        1.50074,
        1.44679,
        1.39794,
        1.39694,
        1.39704,
        1.43094,
        1.53771,
        1.45385,
        1.41047,
        1.41667,
        1.33502,
        1.413,
        1.42998,
        1.40916,
        1.3601,
        1.38051,
        1.4059,
        1.46443,
        1.41725,
        1.45618,
        1.43536,
        1.39961,
        1.52122,
        1.51536,
        1.42345,
        1.38176,
        1.30222,
        1.45915,
        1.38181,
        1.44153,
        1.40536,
        1.42578,
        1.39307,
        1.50411,
        1.46371,
        1.44846,
        1.36689,
        1.20969,
        1.40294,
        1.41665,
        1.41304,
        1.3877,
        1.40276,
        1.40267,
        1.40625,
        1.38599,
        1.46193,
        1.45266,
        1.35339,
        1.3504,
        1.40775,
        1.32518,
        1.39978,
        1.38115,
        1.47861,
        1.41003,
        1.34738,
        1.4477,
        1.337,
        1.32149,
        1.22755,
        1.27198,
        1.34335,
        1.23653,
        1.2628,
        1.44584,
        1.43303,
        1.28504,
        1.27352,
        1.24625,
        1.44912,
        1.60867,
        1.44632,
        1.76485,
        1.66766,
        1.67474,
        1.63269,
        1.45763,
        1.5405,
        1.48144,
        1.36513,
        1.46994,
        1.41221,
        1.46738,
        1.42475,
        1.42384,
        1.41554,
        1.40376,
        1.40038,
        1.42844,
        1.51837,
        1.54714,
        1.45659,
        1.54621,
        1.53227,
        1.45889,
        1.50731,
        1.47265,
        1.46089,
        1.46373,
        1.45134,
        1.56,
        1.47236,
        1.56929,
        1.48742,
        1.40605,
        1.43119,
        1.64448,
        1.63123,
        1.60481,
        1.45382,
        1.37892,
        1.53431,
        1.55415,
        1.5925,
        1.53598,
        1.49348,
        1.54041,
        1.49048,
        1.41673,
        1.49829,
        1.39101,
        1.43974,
        1.52398,
        1.49016,
        1.45331,
        1.46155,
        1.40645,
        1.48294,
        1.52791,
        1.40467,
        1.45384,
        1.52886,
        1.60929,
        1.48489,
        1.56442,
        1.51526,
        1.46404,
        1.66873,
        1.55463,
        1.60987,
        1.45151,
        1.45021,
        1.55432,
        1.53377,
        1.52935,
        1.51686,
        1.5946,
        1.55323,
        1.57593,
        1.54422,
        1.53546,
        1.59565,
        1.71565,
        1.61255,
        1.59297,
        1.47245,
        1.44008,
        1.48256,
        1.59101,
        1.6133,
        1.56179,
        1.5709,
        1.53082,
        1.50527,
        1.59876,
        1.61433,
        1.67116,
        1.47052,
        1.51494,
        1.48255,
        1.51883,
        1.50596,
        1.61199,
        1.52456,
        1.5431,
        1.53059,
        1.47487,
        1.47166,
        1.59975,
        1.54037,
        1.37888,
        1.33288,
        1.45831,
        1.39538,
        1.47985,
        1.38871,
        1.56066,
        1.58268,
        1.4988,
        1.52382,
        1.70589,
        1.50905,
        1.65859,
        1.46713,
        1.56456,
        1.44505,
        1.66118,
        1.84804,
        1.71626,
        1.62475,
        1.5143,
        1.53764,
        1.69203,
        1.4681,
        1.53222,
        1.50744,
        1.59171,
        1.48606,
        1.71325,
        1.69129,
        1.66967,
        1.61308,
        1.62105,
        1.5461,
        1.58445,
        1.59386,
        1.64241,
        1.37475,
        1.4032,
        1.51334,
        1.52135,
        1.44657,
        1.51913,
        1.58992,
        1.51792,
        1.50707,
        1.65407,
        1.58442,
        1.56038,
        1.6815,
        1.74121,
        1.69509,
        1.76976,
        1.71633,
        1.70159,
        1.54627,
        1.51228,
        1.56376,
        1.56783,
        1.49959,
        1.52126,
        1.57845,
        1.52117,
        1.49365,
        1.55128,
        1.64195,
        1.5732,
        1.56015,
        1.64005,
        1.64289,
        1.50758,
        1.55584,
        1.72262,
        1.66879,
        1.63155,
        1.70405,
        1.64201,
        1.61808,
        1.50075,
        1.55213,
        1.56524,
        1.53189,
        1.54003,
        1.56164,
        1.50886,
        1.40703,
        1.38974,
        1.54756,
        1.68895,
        1.70632,
        1.60367,
        1.48461,
        1.55807,
        1.51731,
        1.60598,
        1.53929,
        1.48589,
        1.43645,
        1.42762,
        1.52183,
        1.59474,
        1.43666,
        1.46843,
        1.60071,
        1.66283,
        1.61259,
        1.6479,
        1.69944,
        1.81459,
        1.5884,
        1.53914,
        1.43215,
        1.3909,
        1.48998,
        1.39774,
        1.54812,
        1.90608,
        2.11141,
        1.73152,
        2.02699,
        1.64006,
        1.49502,
        1.69908,
        1.72607,
        1.5569,
        1.55331,
        1.62055,
        1.6228,
        1.46147,
        1.49777,
        1.56344,
        1.49832,
        1.39335,
        1.58201,
        1.49794,
        1.51807,
        1.54121,
        1.50518,
        1.37778,
        1.39622,
        1.33083,
        1.50076,
        1.56363,
        1.51804,
        1.64759,
        1.60684,
        1.52917,
        1.57384,
        1.6623,
        1.61429,
        1.48528,
        1.4659,
        1.43034,
        1.41405,
        1.44769,
        1.65533,
        1.60381,
        1.54918,
        1.52651,
        1.47554,
        1.56779,
        1.53213,
        1.41925,
        1.4985,
        1.49448,
        1.49191,
        1.42209,
        1.47524,
        1.65355,
        1.67953,
        1.6506,
        1.61597,
        1.4881,
        1.4911,
        1.48481,
        1.55809,
        1.47012,
        1.59725,
        1.62855,
        1.68829,
        1.62258,
        1.67533,
        1.38898,
        1.43389,
        1.56225,
        1.57384,
        1.46742,
        1.50338,
        1.41093,
        1.40898,
        1.48052,
        1.52039,
        1.45233,
        1.46174,
        1.49756,
        1.38349,
        1.40157,
        1.61868,
        1.53546,
        1.52117,
        1.46356,
        1.48841,
        1.46528,
        1.53941,
        1.55152,
        1.51457,
        1.57043,
        1.58634,
        1.45085,
        1.39978,
        1.50105,
        1.38309,
        1.53025,
        1.50814,
        1.37637,
        1.38079,
        1.56852,
        1.61435,
        1.58679,
        1.29599,
        1.3986,
        1.63208,
        1.44745,
        1.45294,
        1.59611,
        1.50901,
        1.46618,
        1.65882,
        1.50484,
        1.30405,
        1.41917,
        1.55259,
        1.41374,
        1.57568,
        1.5043,
        1.39103,
        1.51662,
        1.55998,
        1.5845,
        1.63235,
        1.46983,
        1.37981,
        1.53712,
        1.38461,
        1.49294,
        1.28238,
        1.24985,
        1.32615,
        1.49855,
        1.55194,
        1.71664,
        1.4665,
        1.51623,
        1.46954,
        1.59433,
        1.63676,
        1.55248,
        1.51263,
        1.51418,
        1.51037,
        1.47197,
        1.466,
        1.41009,
        1.52503,
        1.60539,
        1.64964,
        1.51176,
        1.53429,
        1.5404,
        1.48255,
        1.46571,
        1.75405,
        1.6475,
        1.52758,
        1.55958,
        1.43455,
        1.51101,
        1.48243,
        1.35295,
        1.28908,
        1.43826,
        1.45057,
        1.41777,
        1.38042,
        1.34198,
        1.26036,
        1.49232,
        1.55619,
        1.3842,
        1.5199,
        1.55976,
        1.34702,
        1.47862,
        1.48181,
        1.3616,
        1.62962,
        1.62941,
        1.33955,
        1.35201,
        1.34935,
        1.45882,
        1.42939,
        1.5214,
        1.39417,
        1.49458,
        1.39413,
        1.57611,
        1.50094,
        1.53229,
        1.31078,
        1.35566,
        1.18853,
        1.37785,
        1.43543,
        1.50057,
        1.41558,
        1.38158,
        1.48001,
        1.49555,
        1.36369,
        1.22891,
        1.4682,
        1.2267,
        1.33082,
        1.32917,
        1.11255,
        1.3626,
        1.41943,
        1.44001,
        1.49254,
        1.60002,
        1.35676,
        1.41137,
        1.49782,
        1.39734,
        1.22727,
        1.29332,
        1.30764,
        1.38773,
        1.20751,
        1.31789,
        1.45158,
        1.63392,
        1.44399,
        1.47767,
        1.3834,
        1.54632,
        1.37999,
        1.30375,
        1.43225,
        1.471,
        1.05711,
        1.61473,
        1.60944,
        1.7494,
        1.56197,
        1.67955,
        1.32831,
        1.17085,
        1.29907,
        1.30865,
        1.35969,
        1.10827,
        1.46611,
        1.35258,
        1.23034,
        1.21638,
        1.16054,
        1.70123,
        1.5719,
        1.41958,
        1.57655,
        1.65956,
        1.37361,
        1.67112,
        1.36407,
        1.8342,
        1.67186,
        1.61498,
        1.48402,
        1.52194,
        1.46212,
        1.51889,
        1.69389,
        1.55343,
        1.64676,
        1.85265,
        2.12926,
        1.57183,
        null,
        1.4821,
        1.53556,
        1.6587,
        1.69654,
        1.38094,
        1.56163,
        1.86985,
        1.54502,
        1.73772,
        1.5144,
        1.29965,
        1.38536,
        1.38857,
        1.53306,
        1.65163,
        1.5264,
        1.22558,
        1.61659,
        1.62473,
        1.59513,
        1.31267,
        1.19885,
        1.34509,
        1.67511,
        1.81155,
        1.67243,
        1.66324,
        1.29822,
        1.60167,
        1.43093,
        1.34086,
        1.30558,
        1.25506,
        1.58491,
        1.28435,
        1.38418,
        1.56862,
        1.36099,
        1.41037,
        1.4011,
        1.16053,
        1.22528,
        1.35817,
        1.4049,
        1.73194,
        1.73664,
        1.4639,
        1.68847,
        1.37466,
        1.47031,
        1.04089,
        1.37605,
        1.49987,
        1.43222,
        1.35372,
        1.27593,
        1.19237,
        1.47233,
        1.35327,
        1.18771,
        1.61583,
        1.42263,
        1.40438,
        1.52352,
        1.54957,
        1.4091,
        1.32201,
        1.20571,
        1.47406,
        1.14347,
        1.39174,
        1.42256,
        1.50736,
        1.44052,
        1.43459,
        1.60592,
        1.66706,
        1.49214,
        1.5081,
        1.40227,
        1.39924,
        1.27464,
        1.39248,
        1.42223,
        1.47575,
        1.34902,
        1.44437,
        1.3217,
        1.59803,
        1.5737,
        1.4757,
        1.30821,
        1.51743,
        1.61144,
        1.58719,
        1.48663,
        1.4972,
        1.34249,
        1.38837,
        1.37877,
        1.2206,
        1.41746,
        1.46404,
        1.20915,
        1.4349,
        1.42784,
        1.32194,
        1.39257,
        1.41473,
        1.44387,
        1.27475,
        1.47246,
        1.32387,
        1.42574,
        1.52423,
        1.48135,
        1.54515,
        1.49402,
        1.40435,
        1.34628,
        1.51049,
        1.47829,
        1.42566,
        1.31145,
        1.37754,
        1.50763,
        1.46894,
        1.33376,
        1.38695,
        1.45445,
        1.47098,
        1.56077,
        1.60765,
        1.4896,
        1.55312,
        1.30837,
        1.5419,
        1.44294,
        1.44445,
        1.3122,
        1.36509,
        1.41424,
        1.55652,
        1.46684,
        1.44756,
        1.35069,
        1.44835,
        1.51901,
        1.45738,
        1.34781,
        1.35952,
        1.27055,
        1.38697,
        1.24752,
        1.19462,
        1.388,
        1.43377,
        1.51183,
        1.58717,
        1.31552,
        1.39862,
        1.28579,
        1.47897,
        1.27607,
        1.29778,
        1.3285,
        1.42009,
        1.40887,
        1.45848,
        1.47786,
        1.80994,
        1.76944,
        1.64744,
        1.45535,
        1.25321,
        1.22922,
        1.3299,
        1.35223,
        1.37501,
        1.33059,
        1.50695,
        1.48401,
        1.68247,
        1.72425,
        1.4642,
        1.50397,
        1.49905,
        1.59314,
        1.47949,
        1.48688,
        1.48732,
        1.32279,
        1.39996,
        1.55111,
        1.61274,
        1.56325,
        1.56036,
        1.32282,
        1.39034,
        1.44136,
        1.46014,
        1.37552,
        1.47432,
        1.5106,
        1.41009,
        1.42117,
        1.53366,
        1.27909,
        1.28359,
        1.5053,
        1.50475,
        1.51591,
        1.4497,
        1.33238,
        1.22112,
        1.51278,
        1.53813,
        1.38474,
        1.48094,
        1.52129,
        1.28193,
        1.26868,
        1.6301,
        1.40154,
        1.47566,
        1.47447,
        1.34663,
        1.65094,
        1.46211,
        1.37195,
        1.33738,
        1.48402,
        1.52684,
        1.49876,
        1.56409,
        1.43354,
        1.541,
        1.56775,
        1.4745,
        1.34573,
        1.35332,
        1.40094,
        1.43612,
        1.46109,
        1.45524,
        1.57838,
        1.38807,
        1.44591,
        1.39378,
        1.47864,
        1.49961,
        1.65516,
        1.60162,
        1.54546,
        1.36713,
        1.39724,
        1.46131,
        1.55535,
        1.54177,
        1.45708,
        1.53964,
        1.51088,
        1.46554,
        1.52067,
        1.50189,
        1.45085,
        1.61356,
        1.64303,
        1.5845,
        1.53778,
        1.38855,
        1.43047,
        1.513,
        1.46715,
        1.45101,
        1.53005,
        1.53564,
        1.48769,
        1.47345,
        1.5691,
        1.54142,
        1.48365,
        1.6296,
        1.48569,
        1.38121,
        1.43215,
        1.51563,
        1.48828,
        1.4868,
        1.47517,
        1.60792,
        1.45034,
        1.45104,
        1.51137,
        1.42514,
        1.47926,
        1.37484,
        1.37295,
        1.48248,
        1.58843,
        1.43132,
        1.26784,
        1.36621,
        1.63807,
        1.51473,
        1.4777,
        1.84501,
        1.53616,
        1.41102,
        1.54061,
        1.36999,
        1.50801,
        1.52986,
        1.45098,
        1.32718,
        1.46806,
        1.56497,
        1.63681,
        1.39963,
        1.5306,
        1.35005,
        1.33271,
        1.32538,
        1.47645,
        1.36339,
        1.46008,
        1.36199,
        1.29272,
        1.4957,
        1.46872,
        1.52359,
        1.53172,
        1.55328,
        1.42753,
        1.38475,
        1.47671,
        1.35896,
        1.47415,
        1.48879,
        1.55976,
        1.56162,
        1.4996,
        1.49721,
        1.49128,
        1.51414,
        1.54069,
        1.41195,
        1.47667,
        1.55791,
        1.4549,
        1.48704,
        1.40238,
        1.41206,
        1.48878,
        1.51263,
        1.49233,
        1.42615,
        1.45056,
        1.47388,
        1.48712,
        1.65849,
        1.31826,
        1.4707,
        1.42272,
        1.62815,
        1.53802,
        1.48072,
        1.59856,
        1.62744,
        1.55218,
        1.34307,
        1.41838,
        1.56762,
        1.44596,
        1.48881,
        1.47012,
        1.40074,
        1.4953,
        1.41736,
        1.49086,
        1.43502,
        1.5872,
        1.50722,
        1.3422,
        1.59767,
        1.3402,
        1.6007,
        1.42223,
        1.40977,
        1.55194,
        1.59296,
        1.37814,
        1.93408,
        1.88349,
        1.44884,
        1.41262,
        1.58319,
        1.63996,
        1.45374,
        1.31621,
        1.54391,
        1.44002,
        1.27909,
        1.23283,
        1.46143,
        1.4842,
        1.44052,
        1.49172,
        1.6473,
        1.70108,
        1.39122,
        1.30187,
        1.3701,
        1.38143,
        1.3939,
        1.36114,
        1.18927,
        1.20932,
        1.21016,
        1.37048,
        1.43392,
        1.3877,
        1.47798,
        1.46497,
        1.22735,
        1.31119,
        1.40244,
        1.51679,
        1.41572,
        1.49365,
        1.50451,
        1.48902,
        1.37548,
        1.362,
        1.50248,
        1.62235,
        1.51027,
        1.50883,
        1.49989,
        1.44353,
        1.50669,
        1.52154,
        1.41398,
        1.37652,
        1.37633,
        1.42278,
        1.43718,
        1.47155,
        1.5148,
        1.42303,
        1.45806,
        1.4695,
        1.52629,
        1.33941,
        1.44912,
        1.37161,
        1.50138,
        1.42342,
        1.52667,
        1.3189,
        1.42022,
        1.55984,
        1.52364,
        1.42981,
        1.40397,
        1.47829,
        1.39706,
        1.37067,
        1.42916,
        1.37045,
        1.43378,
        1.49363,
        1.6126,
        1.48747,
        1.41268,
        1.53681,
        1.53682,
        1.40756,
        1.35197,
        1.40695,
        1.42325,
        1.43151,
        1.52416,
        1.54199,
        1.55794,
        1.47831,
        1.63815,
        1.49266,
        1.5219,
        1.40623,
        1.50479,
        1.48098,
        1.41019,
        1.40815,
        1.42217,
        1.48128,
        1.41755,
        1.31227,
        1.42121,
        1.5442,
        1.45906,
        1.44275,
        1.41089,
        1.43466,
        1.31245,
        1.41366,
        1.30621,
        1.31938,
        1.4115,
        1.47108,
        1.53175,
        1.4213,
        1.46139,
        1.42434,
        1.49726,
        1.39285,
        1.3581,
        1.39285,
        1.46393,
        1.33004,
        1.33987,
        1.41638,
        1.43513,
        1.44983,
        1.35775,
        1.42111,
        1.403,
        1.36554,
        1.35398,
        1.40444,
        1.44815,
        1.50006,
        1.53933,
        1.56067,
        1.36333,
        1.41295,
        1.42531,
        1.34927,
        1.39533,
        1.39612,
        1.47178,
        1.39799,
        1.42922,
        1.47634,
        1.35805,
        1.46486,
        1.36816,
        1.5264,
        1.45197,
        1.40285,
        1.47493,
        1.53349,
        1.42614,
        1.40454,
        1.44694,
        1.43536,
        1.49011,
        1.35006,
        1.32376,
        1.41542,
        1.43323,
        1.49098,
        1.4954,
        1.489,
        1.46397,
        1.39523,
        1.50251,
        1.51519,
        1.45389,
        1.50876,
        1.42714,
        1.47506,
        1.51211,
        1.43515,
        1.45571,
        1.30683,
        1.35011,
        1.39211,
        1.5593,
        1.37851,
        1.45932,
        1.34623,
        1.39306,
        1.43721,
        1.37532,
        1.42311,
        1.36485,
        1.29302,
        1.34232,
        1.377,
        1.53332,
        1.45929,
        1.34705,
        1.46615,
        1.41726,
        1.39198,
        1.46021,
        1.40921,
        1.47575,
        1.35651,
        1.4253,
        1.36668,
        1.47042,
        1.42802,
        1.43493,
        1.43402,
        1.39824,
        1.34347,
        1.46879,
        1.45613,
        1.48968,
        1.48828,
        1.46595,
        1.43291,
        1.36731,
        1.37323,
        1.45495,
        1.45245,
        1.48954,
        1.57025,
        1.36699,
        1.49546,
        1.58145,
        1.38253,
        1.25152,
        1.4598,
        1.35995,
        1.206,
        1.45816,
        1.45457,
        1.41613,
        1.37663,
        1.38241,
        1.33819,
        1.43777,
        1.46272,
        1.44184,
        1.33579,
        1.51647,
        1.33272,
        1.4825,
        1.41637,
        1.36726,
        1.4111,
        1.42035,
        1.53701,
        1.59948,
        1.47609,
        1.34954,
        1.47876,
        1.4158,
        1.50527,
        1.41013,
        1.47998,
        1.38357,
        1.43953,
        1.54479,
        1.57084,
        1.34263,
        1.31649,
        1.48112,
        1.39734,
        1.45279,
        1.46682,
        1.41728,
        1.56131,
        1.41352,
        1.40528,
        1.41737,
        1.39264,
        1.48618,
        1.38378,
        1.52311,
        1.51119,
        1.44301,
        1.51708,
        1.43577,
        1.42011,
        1.31172,
        1.3667,
        1.55865,
        1.57406,
        1.57072,
        1.5047,
        1.37522,
        1.5019,
        1.5168,
        1.38594,
        1.27358,
        1.40341,
        1.39531,
        1.36788,
        1.35738,
        1.41497,
        1.48811,
        1.5767,
        1.50756,
        1.44802,
        1.43629,
        1.39443,
        1.46051,
        1.43707,
        1.37311,
        1.39074,
        1.43831,
        1.35385,
        1.42381,
        1.36471,
        1.42776,
        1.49636,
        1.39573,
        1.47064,
        1.36557,
        1.42946,
        1.4273,
        1.40285,
        1.50453,
        1.36203,
        1.41874,
        1.32354,
        1.21103,
        1.39831,
        1.38181,
        1.46847,
        1.50405,
        1.34637,
        1.3607,
        1.41547,
        1.32397,
        1.32497,
        1.50527,
        1.40021,
        1.2972,
        1.38486,
        1.38433,
        1.41238,
        1.39274,
        1.45224,
        1.29191,
        1.27533,
        1.35302,
        1.40611,
        1.33776,
        1.5871,
        1.4048,
        1.38347,
        1.46035,
        1.56287,
        1.4922,
        1.47934,
        1.49901,
        1.50669,
        1.51681,
        1.5214,
        1.44965,
        1.4236,
        1.56008,
        1.5056,
        1.39339,
        1.53515,
        1.39548,
        1.47601,
        1.41833,
        1.32862,
        1.49186,
        1.54242,
        1.60491,
        1.57029,
        1.45739,
        1.54313,
        1.55949,
        1.53028,
        1.49921,
        1.51571,
        1.37073,
        1.45983,
        1.37969,
        1.6238,
        1.47588,
        1.47978,
        1.382,
        1.40307,
        1.35912,
        1.36557,
        1.47791,
        1.41717,
        1.35624,
        1.64255,
        1.62987,
        1.38849,
        1.31398,
        1.43451,
        1.48444,
        1.52309,
        1.4942,
        1.65581,
        1.41233,
        1.43441,
        1.55745,
        1.36444,
        1.29865,
        1.35447,
        1.41371,
        1.32959,
        1.37678,
        1.47312,
        1.81211,
        1.5202,
        1.30746,
        1.36314,
        1.24779,
        1.30937,
        1.31964,
        1.5286,
        1.4707,
        1.57446,
        1.38815,
        1.28378,
        1.45163,
        1.47845,
        1.2656,
        1.44072,
        1.33216,
        1.2458,
        1.33753,
        1.25043,
        1.25097,
        1.356,
        1.46616,
        1.45348,
        1.61824,
        1.49153,
        1.88361,
        1.77698,
        1.62018,
        1.31873,
        1.47704,
        1.58241,
        1.23623,
        1.18668,
        1.20872,
        1.26239,
        1.38651,
        1.60425,
        1.53792,
        null,
        1.59844,
        1.71577,
        2.10195,
        1.59057,
        1.48517,
        1.5897,
        1.32872,
        1.43658,
        1.49498,
        1.66279,
        1.3343,
        1.60078,
        1.63365,
        1.71567,
        1.46457,
        1.57765,
        1.45519,
        1.55518,
        1.57318,
        1.28272,
        1.51308,
        1.37074,
        1.49507,
        1.64342,
        1.73803,
        1.84505,
        1.52005,
        1.87992,
        1.86597,
        1.49522,
        1.38543,
        1.43234,
        1.34655,
        1.2504,
        1.38385,
        1.23217,
        1.38727,
        1.56211,
        1.53356,
        1.30133,
        1.34609,
        1.409,
        1.4231,
        1.42142,
        1.51747,
        1.52409,
        1.39529,
        1.40925,
        1.5286,
        1.37633,
        1.37712,
        1.43216,
        1.43251,
        1.41383,
        1.48538,
        1.40098,
        1.46838,
        1.46102,
        1.41678,
        1.50685,
        1.39791,
        1.33762,
        1.43611,
        1.4397,
        1.42013,
        1.30303,
        1.26602,
        1.36078,
        1.42541,
        1.37174,
        1.35811,
        1.42428,
        1.47439,
        1.32859,
        1.37926,
        1.43898,
        1.49377,
        1.52124,
        1.38256,
        1.30304,
        1.43122,
        1.48632,
        1.55888,
        1.39264,
        1.41791,
        1.44313,
        1.46882,
        1.37119,
        1.39022,
        1.44727,
        1.37679,
        1.4178,
        1.48882,
        1.39208,
        1.50041,
        1.39338,
        1.31285,
        1.35649,
        1.30821,
        1.31196,
        1.39007,
        1.46824,
        1.50528,
        1.46556,
        1.50699,
        1.41371,
        1.39069,
        1.38245,
        1.43129,
        1.5335,
        1.47122,
        1.3964,
        1.36443,
        1.43332,
        1.36979,
        1.38497,
        1.36589,
        1.41242,
        1.41505,
        1.24389,
        1.39078,
        1.43058,
        1.39821,
        1.3994,
        1.37007,
        1.27335,
        1.4069,
        1.38849,
        1.37004,
        1.30983,
        1.47945,
        1.32297,
        1.42923,
        1.4126,
        1.46193,
        1.37011,
        1.38953,
        1.39686,
        1.44766,
        1.42384,
        1.4013,
        1.3997,
        1.36102,
        1.40337,
        1.45816,
        1.40572,
        1.46802,
        1.48087,
        1.42852,
        1.62235,
        1.49856,
        1.46926,
        1.48715,
        1.43177,
        1.33482,
        1.45809,
        1.44971,
        1.33967,
        1.3565,
        1.35803,
        1.45501,
        1.44054,
        1.34516,
        1.49648,
        1.44119,
        1.33624,
        1.45719,
        1.48863,
        1.52036,
        1.54252,
        1.47614,
        1.43017,
        1.38512,
        1.44441,
        1.39032,
        1.59214,
        1.51325,
        1.4956,
        1.53978,
        1.42627,
        1.47197,
        1.35715,
        1.39525,
        1.37877,
        1.58127,
        1.52836,
        1.25067,
        1.35586,
        1.47243,
        1.46657,
        1.3452,
        1.34813,
        1.3956,
        1.51089,
        1.46332,
        1.2137,
        1.28261,
        1.28816,
        1.37194,
        1.46901,
        1.37025,
        1.41153,
        1.44754,
        1.37026,
        1.34632,
        1.45112,
        1.43669,
        1.51576,
        1.53607,
        1.35171,
        1.26714,
        1.27021,
        1.50114,
        1.44232,
        1.29135,
        1.4661,
        1.38183,
        1.39756,
        1.39127,
        1.25028,
        1.21618,
        1.3275,
        1.32416,
        1.38004,
        1.47211,
        1.43059,
        1.26123,
        1.28864,
        1.35312,
        1.3839,
        1.43197,
        1.47776,
        1.50656,
        1.40078,
        1.55948,
        1.41558,
        1.41185,
        1.39072,
        1.36921,
        1.44444,
        1.4991,
        1.48305,
        1.43796,
        1.42726,
        1.46109,
        1.39615,
        1.39713,
        1.59371,
        1.57534,
        1.40537,
        1.41601,
        1.3994,
        1.58648,
        1.49622,
        1.36767,
        1.45301,
        1.45903,
        1.45796,
        1.55284,
        1.47515,
        1.33997,
        1.32769,
        1.40582,
        1.39411,
        1.41538,
        1.47322,
        1.44912,
        1.43072,
        1.50454,
        1.39993,
        1.40704,
        1.54852,
        1.49751,
        1.42789,
        1.47792,
        1.3572,
        1.52379,
        1.47345,
        1.36337,
        1.3804,
        1.46563,
        1.38695,
        1.45764,
        1.38528,
        1.48171,
        1.41524,
        1.49301,
        1.42663,
        1.52564,
        1.45228,
        1.43932,
        1.42559,
        1.43867,
        1.34474,
        1.40571,
        1.47978,
        1.40615,
        1.37706,
        1.45404,
        1.43841,
        1.53618,
        1.38366,
        1.3652,
        1.33837,
        1.46695,
        1.44656,
        1.46328,
        1.47532,
        1.48698,
        1.48371,
        1.47943,
        1.44209,
        1.46992,
        1.39065,
        1.53475,
        1.48715,
        1.33849,
        1.42245,
        1.36598,
        1.24696,
        1.31923,
        1.38902,
        1.23698,
        1.40099,
        1.41055,
        1.43816,
        1.49204,
        1.51196,
        1.4086,
        1.30425,
        1.36783,
        1.5013,
        1.57566,
        1.55534,
        1.59335,
        1.3943,
        1.51637,
        1.52087,
        1.56321,
        1.48879,
        1.36692,
        1.3218,
        1.48376,
        1.40644,
        1.36916,
        1.39075,
        1.45383,
        1.42361,
        1.42099,
        1.3475,
        1.38064,
        1.42847,
        1.38494,
        1.39935,
        1.45733,
        1.32624,
        1.31614,
        1.30759,
        1.46916,
        1.42108,
        1.373,
        1.3991,
        1.41069,
        1.48023,
        1.36507,
        1.34347,
        1.4124,
        1.38392,
        1.3129,
        1.43388,
        1.44455,
        1.38888,
        1.46551,
        1.3221,
        1.26679,
        1.38804,
        1.48597,
        1.46632,
        1.48425,
        1.32126,
        1.30589,
        1.41958,
        1.46194,
        1.49693,
        1.21807,
        1.29394,
        1.4588,
        1.40796,
        1.50472,
        1.41264,
        1.35694,
        1.37906,
        1.39892,
        1.56541,
        1.40121,
        1.50898,
        1.40674,
        1.36531,
        1.47817,
        1.45818,
        1.37141,
        1.38666,
        1.38676,
        1.44526,
        1.32708,
        1.34474,
        1.38524,
        1.47622,
        1.44655,
        1.52944,
        1.48446,
        1.46586,
        1.52362,
        1.57473,
        1.4245,
        1.27855,
        1.372,
        1.39125,
        1.50762,
        1.50994,
        1.64571,
        1.48262,
        1.47071,
        1.37302,
        1.44902,
        1.51186,
        1.6072,
        1.45437,
        1.49209,
        1.51071,
        1.50829,
        1.64151,
        1.50397,
        1.42958,
        1.51073,
        1.48325,
        1.47231,
        1.42689,
        1.53601,
        1.50325,
        1.40503,
        1.46802,
        1.61035,
        1.52425,
        1.49184,
        1.54267,
        1.4437,
        1.40097,
        1.43893,
        1.50285,
        1.44389,
        1.46723,
        1.56451,
        1.55155,
        1.69623,
        1.48855,
        1.35265,
        1.37322,
        1.54502,
        1.4869,
        1.46563,
        1.37074,
        1.43458,
        1.57854,
        1.49528,
        1.30256,
        1.31431,
        1.46718,
        1.40294,
        1.40816,
        1.29217,
        1.21776,
        1.42148,
        1.40836,
        1.38543,
        1.30251,
        1.38301,
        1.35429,
        1.43931,
        1.45165,
        1.40026,
        1.35937,
        1.22567,
        1.24405,
        1.42651,
        1.38298,
        1.46507,
        1.46569,
        1.34479,
        1.456,
        1.40355,
        1.41238,
        1.47614,
        1.36421,
        1.40063,
        1.40575,
        1.43477,
        1.42714,
        1.50952,
        1.52194,
        1.56089,
        1.41759,
        1.33133,
        1.32688,
        1.37023,
        1.28888,
        1.23958,
        1.31758,
        1.44589,
        1.48145,
        1.37222,
        1.43639,
        1.21544,
        1.40489,
        1.52852,
        1.52532,
        1.38825,
        1.42855,
        1.67328,
        1.63107,
        1.49691,
        1.31891,
        1.35058,
        1.3662,
        1.464,
        1.35212,
        1.34737,
        1.4596,
        1.46639,
        1.43617,
        1.40337,
        1.47295,
        1.39624,
        1.42084,
        1.39703,
        1.44906,
        1.39774,
        1.42593,
        1.49881,
        1.43922,
        1.3189,
        1.66228,
        1.45727,
        1.48452,
        1.38067,
        1.50655,
        1.5409,
        1.50273,
        1.54328,
        1.45987,
        1.41725,
        1.32554,
        1.39938,
        1.39617,
        1.49618,
        1.54559,
        1.45392,
        1.37836,
        1.49878,
        1.61848,
        1.30869,
        1.24806,
        1.3058,
        1.36651,
        1.36309,
        1.36255,
        1.47077,
        1.40752,
        1.27345,
        1.3438,
        1.37856,
        1.37098,
        1.34678,
        1.39918,
        1.53871,
        1.38337,
        1.11733,
        1.35932,
        1.65442,
        1.42257,
        1.72126,
        1.48354,
        1.58886,
        1.66199,
        1.19699,
        1.36326,
        1.52093,
        1.51821,
        1.5739,
        1.55481,
        1.62029,
        1.665,
        1.458,
        1.50868,
        1.58927,
        1.36919,
        1.40609,
        1.43654,
        1.57741,
        1.57849,
        1.54416,
        1.45465,
        1.36694,
        1.49672,
        1.38715,
        1.33982,
        1.4243,
        1.49571,
        1.51421,
        1.4483,
        1.40591,
        1.5834,
        1.40102,
        1.41797,
        1.43933,
        1.43654,
        1.43834,
        1.67692,
        1.55355,
        1.36544,
        1.62823,
        1.41525,
        1.39322,
        1.64921,
        1.45545,
        1.47331,
        1.29936,
        1.32497,
        1.38991,
        1.26611,
        1.26887,
        1.2731,
        1.33056,
        1.50739,
        1.43733,
        1.34236,
        1.35771,
        1.36015,
        1.30431,
        1.32756,
        1.29239,
        1.28979,
        1.32544,
        1.23654,
        1.47862,
        1.39523,
        1.4276,
        1.5956,
        1.331,
        1.22252,
        1.61501,
        1.48593,
        1.35054,
        1.24723,
        1.32921,
        1.3806,
        1.49067,
        1.3636,
        1.48421,
        1.40098,
        1.36825,
        1.41788,
        1.28216,
        1.28068,
        1.47602,
        1.6305,
        1.3394,
        1.36344,
        1.45855,
        1.62011,
        1.33903,
        1.54433,
        1.28644,
        1.26889,
        1.39586,
        1.54823,
        1.3709,
        1.24795,
        1.59079,
        1.61683,
        1.44672,
        1.31928,
        1.34892,
        1.68385,
        1.48437,
        1.49135,
        1.33714,
        1.45149,
        1.48855,
        1.48478,
        1.57013,
        1.56644,
        1.41587,
        1.41853,
        1.51409,
        1.25711,
        1.36145,
        1.34894,
        1.47735,
        1.56295,
        1.84043,
        1.3497,
        1.30118,
        1.45546,
        1.46521,
        1.38466,
        1.48108,
        1.51134,
        1.33047,
        1.10577,
        1.16675,
        1.33895,
        1.33739,
        null,
        2.68631,
        2.94447,
        2.56533,
        2.37432,
        2.62546,
        2.62403,
        2.83718,
        2.2044,
        2.01135,
        2.15248,
        1.98786,
        2.76769,
        2.78429,
        2.45845,
        2.46582,
        2.238,
        2.43817,
        2.15181,
        1.90468,
        2.1508,
        1.83311,
        1.99488,
        2.3809,
        2.24223,
        2.12649,
        2.50598,
        2.27402,
        1.94291,
        2.05467,
        2.27227,
        2.10165,
        2.34234,
        1.84943,
        1.85079,
        2.0577,
        1.97886,
        1.56076,
        2.21537,
        2.06268,
        2.05298,
        1.88931,
        2.47959,
        1.93975,
        1.85981,
        1.933,
        1.91283,
        1.71466,
        2.06041,
        2.38484,
        2.44957,
        1.95521,
        2.43559,
        2.94368,
        2.21978,
        1.87784,
        1.84458,
        2.62236,
        2.18091,
        2.04325,
        2.34485,
        2.66984,
        2.58836,
        2.47632,
        2.09463,
        1.87531,
        1.63399,
        1.84783,
        2.18765,
        1.6317,
        1.80882,
        2.27393,
        2.31484,
        2.1115,
        1.89062,
        1.87009,
        2.15124,
        2.54188,
        2.11273,
        1.85447,
        2.16947,
        2.17258,
        2.12206,
        1.7687,
        2.22634,
        2.1903,
        2.05128,
        2.37715,
        2.30255,
        1.83735,
        1.84775,
        2.40198,
        2.16601,
        2.25008,
        2.01065,
        2.17856,
        1.89946,
        1.85557,
        1.73073,
        1.99581,
        2.06112,
        1.59864,
        2.00419,
        2.34852,
        2.29124,
        2.47181,
        1.98394,
        1.73259,
        1.78119,
        2.10439,
        2.15402,
        1.85557,
        2.36783,
        2.01191,
        1.90858,
        2.45245,
        2.52135,
        2.50672,
        2.6652,
        1.99628,
        1.97185,
        2.17458,
        2.55684,
        1.86374,
        2.18584,
        2.30537,
        1.9889,
        2.11896,
        2.2322,
        2.35319,
        2.09198,
        2.00748,
        2.02255,
        2.24367,
        2.04623,
        2.1344,
        2.0227,
        2.00917,
        1.91698,
        1.96772,
        1.62081,
        1.79776,
        2.0382,
        1.83171,
        2.06815,
        1.94828,
        2.09891,
        2.19195,
        2.15955,
        2.02422,
        1.9158,
        1.90874,
        1.76711,
        2.16865,
        1.81668,
        2.05179,
        2.42472,
        2.27805,
        2.11361,
        2.20213,
        2.16778,
        2.09266,
        1.92663,
        1.54905,
        1.61624,
        1.85474,
        1.92824,
        2.36414,
        2.34364,
        2.26828,
        1.877,
        1.98075,
        1.87515,
        2.13194,
        2.17621,
        2.07207,
        1.7035,
        1.95878,
        2.3561,
        1.93811,
        2.03133,
        1.88317,
        2.10173,
        1.9275,
        1.59658,
        1.60881,
        1.78441,
        2.09621,
        2.47406,
        1.89904,
        2.02805,
        1.82947,
        1.86836,
        1.88082,
        2.21885,
        2.25395,
        1.85197,
        2.01682,
        1.99859,
        2.18644,
        1.784,
        1.67134,
        1.50089,
        1.86787,
        1.93872,
        2.0722,
        2.19373,
        1.89717,
        1.90483,
        2.18339,
        2.17746,
        2.16222,
        1.93027,
        1.83248,
        2.19184,
        2.04053,
        2.08271,
        2.22135,
        2.00931,
        1.87658,
        1.89411,
        2.0173,
        2.35274,
        2.01723,
        2.06803,
        2.22841,
        2.00037,
        1.55227,
        1.55437,
        1.8029,
        2.00109,
        2.08567,
        2.23343,
        2.2439,
        1.92296,
        2.15295,
        2.00193,
        1.88349,
        1.98006,
        1.72746,
        2.10574,
        1.94849,
        2.21851,
        1.68136,
        1.84613,
        1.93854,
        1.697,
        1.53748,
        2.14375,
        2.0641,
        1.93009,
        1.88507,
        1.84965,
        2.20977,
        2.46739,
        2.34373,
        1.96581,
        1.71343,
        1.54996,
        1.60637,
        1.62635,
        1.98329,
        2.11982,
        1.69157,
        1.72885,
        1.81597,
        1.84563,
        1.68257,
        2.0323,
        1.89023,
        2.25726,
        2.04487,
        1.92547,
        2.17291,
        2.0475,
        1.87694,
        2.14131,
        2.15691,
        2.25979,
        2.21325,
        2.52157,
        1.88734,
        1.74148,
        2.0778,
        1.56947,
        2.22201,
        1.72708,
        1.98446,
        2.19322,
        1.82939,
        1.98343,
        2.16774,
        2.0785,
        2.11774,
        2.00903,
        2.33066,
        2.32823,
        1.92678,
        1.828,
        2.05722,
        1.77252,
        1.84356,
        1.8267,
        2.21729,
        1.88284,
        1.70788,
        1.76588,
        1.89244,
        1.38784,
        1.78958,
        2.31775,
        2.19988,
        1.7514,
        2.06312,
        2.14187,
        1.93597,
        2.33045,
        2.24096,
        2.05065,
        2.09002,
        1.69457,
        1.90378,
        2.14493,
        1.79456,
        1.68971,
        2.01168,
        2.1764,
        1.64144,
        1.52828,
        1.92065,
        2.26696,
        2.22418,
        2.5525,
        2.601,
        2.22601,
        1.95827,
        1.8677,
        2.02734,
        2.24362,
        2.56568,
        2.22883,
        2.11772,
        2.57833,
        2.54737,
        2.43996,
        2.45746,
        2.20396,
        2.08323,
        1.97893,
        2.07273,
        2.13696,
        2.4133,
        1.99532,
        1.92359,
        2.15575,
        2.3687,
        1.9384,
        2.20582,
        2.29792,
        2.53561,
        2.44538,
        2.41811,
        2.17187,
        2.52243,
        2.3916,
        1.99535,
        2.6891,
        2.65102,
        2.45645,
        2.25313,
        2.37269,
        2.2968,
        2.13658,
        2.99052
    ],
    "flux_error": [
        0.200545,
        0.189539,
        0.183218,
        0.176735,
        0.16995,
        0.163308,
        0.15675,
        0.152798,
        0.150521,
        0.147215,
        0.144719,
        0.143169,
        0.144297,
        0.149233,
        0.149057,
        0.146351,
        0.15159,
        0.153471,
        0.15765,
        0.166323,
        0.179394,
        0.197162,
        0.225878,
        0.26066,
        0.380198,
        0.270906,
        0.267626,
        0.267585,
        0.269152,
        0.343585,
        0.275939,
        0.252624,
        0.219317,
        0.21447,
        0.209742,
        0.209749,
        0.207257,
        0.20113,
        0.197502,
        0.19091,
        0.182946,
        0.178492,
        0.195142,
        0.222021,
        0.216956,
        0.213831,
        0.240305,
        0.269936,
        0.300182,
        0.255941,
        0.219287,
        0.192126,
        0.175593,
        0.170703,
        0.164751,
        0.153416,
        0.150389,
        0.154169,
        0.158909,
        0.162961,
        0.169993,
        0.181312,
        0.195919,
        0.225022,
        0.252849,
        0.269087,
        0.2648,
        0.26826,
        0.359697,
        0.272289,
        0.256149,
        0.244356,
        0.234305,
        0.231124,
        0.234277,
        0.247552,
        0.264293,
        0.324396,
        0.326998,
        0.226456,
        0.198434,
        0.177655,
        0.202052,
        0.181001,
        0.136733,
        0.133901,
        0.133674,
        0.129831,
        0.127025,
        0.125002,
        0.122373,
        0.119484,
        0.117122,
        0.115038,
        0.113811,
        0.113511,
        0.113495,
        0.111495,
        0.111355,
        0.113338,
        0.113947,
        0.114735,
        0.118532,
        0.120432,
        0.124074,
        0.135373,
        0.142562,
        0.149961,
        0.15868,
        0.169762,
        0.185898,
        0.211845,
        0.246503,
        0.260387,
        0.242342,
        0.213028,
        0.179041,
        0.163488,
        0.15149,
        0.143267,
        0.136553,
        0.133889,
        0.128712,
        0.122746,
        0.12257,
        0.121367,
        0.116923,
        0.110445,
        0.106731,
        0.105099,
        0.101787,
        0.0983615,
        0.0981397,
        0.0986416,
        0.105048,
        0.105655,
        0.0976227,
        0.0967118,
        0.096755,
        0.0966828,
        0.0975358,
        0.0987646,
        0.098935,
        0.100676,
        0.1027,
        0.106139,
        0.110237,
        0.117309,
        0.126701,
        0.136715,
        0.146577,
        0.153849,
        0.154564,
        0.150442,
        0.148167,
        0.149604,
        0.153692,
        0.156348,
        0.157693,
        0.16414,
        0.176441,
        0.191376,
        0.20204,
        0.219425,
        0.251709,
        0.420056,
        0.292677,
        0.2561,
        0.216899,
        0.201018,
        0.183201,
        0.171243,
        0.163251,
        0.155141,
        0.149027,
        0.139239,
        0.129333,
        0.122798,
        0.119235,
        0.115849,
        0.113034,
        0.114895,
        0.115984,
        0.11845,
        0.124777,
        0.134445,
        0.138117,
        0.139593,
        0.163963,
        0.149981,
        0.115268,
        0.107671,
        0.102249,
        0.0995808,
        0.0997801,
        0.0995908,
        0.101302,
        0.103321,
        0.104938,
        0.108215,
        0.109939,
        0.110651,
        0.110413,
        0.108796,
        0.107989,
        0.107926,
        0.108111,
        0.110476,
        0.112992,
        0.128738,
        0.138662,
        0.124412,
        0.128241,
        0.135407,
        0.14404,
        0.151697,
        0.162202,
        0.167977,
        0.174415,
        0.184023,
        0.193986,
        0.212926,
        0.231818,
        0.250563,
        0.283657,
        0.232986,
        0.207574,
        0.189173,
        0.174776,
        0.162121,
        0.150588,
        0.143253,
        0.137413,
        0.12953,
        0.119707,
        0.114543,
        0.112523,
        0.107535,
        0.10535,
        0.103779,
        0.101818,
        0.100348,
        0.0983724,
        0.0979115,
        0.0969565,
        0.0959909,
        0.0972086,
        0.0971774,
        0.0969182,
        0.100187,
        0.10133,
        0.0959462,
        0.0942785,
        0.0926921,
        0.0920581,
        0.0930808,
        0.0957098,
        0.0993563,
        0.102302,
        0.105106,
        0.107679,
        0.110206,
        0.111717,
        0.115612,
        0.12562,
        0.130693,
        0.132908,
        0.140438,
        0.156287,
        0.16464,
        0.159089,
        0.157498,
        0.158917,
        0.165925,
        0.171625,
        0.183372,
        0.199654,
        0.216908,
        0.236364,
        0.268388,
        0.319709,
        0.265331,
        0.233436,
        0.222949,
        0.19467,
        0.171261,
        0.157229,
        0.143836,
        0.136181,
        0.127044,
        0.120042,
        0.116318,
        0.11553,
        0.109628,
        0.101657,
        0.0973732,
        0.0949889,
        0.0927648,
        0.0893516,
        0.0876207,
        0.0861504,
        0.0847357,
        0.0836132,
        0.0816509,
        0.0808823,
        0.0799929,
        0.0947899,
        0.0947456,
        0.078566,
        0.0781117,
        0.0774123,
        0.0778695,
        0.0811135,
        0.083159,
        0.0825376,
        0.0828607,
        0.0836642,
        0.0845492,
        0.0866282,
        0.0887562,
        0.0887277,
        0.0888807,
        0.0894991,
        0.0913624,
        0.0951369,
        0.0973627,
        0.116958,
        0.123342,
        0.11305,
        0.118967,
        0.125247,
        0.13698,
        0.15031,
        0.160392,
        0.173795,
        0.194732,
        0.221764,
        0.290002,
        0.324906,
        0.250069,
        0.215577,
        0.189535,
        0.175214,
        0.162375,
        0.1459,
        0.152357,
        0.144136,
        0.120428,
        0.11433,
        0.111209,
        0.106775,
        0.10317,
        0.0990919,
        0.0957318,
        0.0935636,
        0.0918779,
        0.0900547,
        0.0883559,
        0.0870703,
        0.0868552,
        0.0864631,
        0.0863971,
        0.0896481,
        0.0898654,
        0.0896691,
        0.0915391,
        0.0918901,
        0.0911128,
        0.0897807,
        0.0910177,
        0.0902675,
        0.0869291,
        0.0878266,
        0.0899234,
        0.0933822,
        0.0978242,
        0.103085,
        0.107614,
        0.107646,
        0.108953,
        0.111724,
        0.115389,
        0.129122,
        0.142895,
        0.163111,
        0.187451,
        0.209438,
        0.239201,
        0.231123,
        0.20511,
        0.186538,
        0.1691,
        0.160786,
        0.158707,
        0.160716,
        0.164497,
        0.166061,
        0.170215,
        0.186485,
        0.201026,
        0.211606,
        0.23203,
        0.248545,
        0.285021,
        0.253885,
        0.224675,
        0.216021,
        0.206623,
        0.188149,
        0.17916,
        0.177451,
        0.182016,
        0.191034,
        0.209039,
        0.240217,
        0.274165,
        0.26831,
        0.223066,
        0.188777,
        0.157897,
        0.138165,
        0.136771,
        0.126994,
        0.111191,
        0.10999,
        0.109439,
        0.109469,
        0.110533,
        0.111452,
        0.110904,
        0.110356,
        0.113365,
        0.119172,
        0.126964,
        0.141132,
        0.155791,
        0.176781,
        0.224534,
        0.26904,
        0.259923,
        0.222133,
        0.186968,
        0.15629,
        0.136913,
        0.121619,
        0.114094,
        0.108686,
        0.104435,
        0.103634,
        0.101623,
        0.0994835,
        0.100863,
        0.102579,
        0.105042,
        0.117989,
        0.119984,
        0.117494,
        0.125584,
        0.133849,
        0.154431,
        0.167267,
        0.162293,
        0.174635,
        0.187792,
        0.209211,
        0.228052,
        0.260715,
        0.293449,
        0.339419,
        0.279237,
        0.246979,
        0.211084,
        0.180596,
        0.167886,
        0.156145,
        0.145622,
        0.144263,
        0.137412,
        0.124594,
        0.120808,
        0.121834,
        0.12283,
        0.114218,
        0.111998,
        0.13083,
        0.131844,
        0.114048,
        0.114775,
        0.117814,
        0.126391,
        0.136491,
        0.152441,
        0.179118,
        0.214514,
        0.266988,
        0.306072,
        0.210224,
        0.160714,
        0.131855,
        0.11565,
        0.120682,
        0.114976,
        0.100002,
        0.0989264,
        0.0975461,
        0.106745,
        0.104618,
        0.0986838,
        0.101017,
        0.102995,
        0.10396,
        0.106156,
        0.106056,
        0.102222,
        0.122188,
        0.125818,
        0.108092,
        0.113358,
        0.119656,
        0.127943,
        0.134621,
        0.142336,
        0.151199,
        0.161878,
        0.16987,
        0.183651,
        0.196344,
        0.217763,
        0.266818,
        0.305966,
        0.256685,
        0.234044,
        0.210155,
        0.19633,
        0.187505,
        0.177662,
        0.17054,
        0.175182,
        0.177884,
        0.183596,
        0.230415,
        0.263072,
        0.25228,
        0.310504,
        0.245114,
        0.182964,
        0.153674,
        0.134202,
        0.119969,
        0.109638,
        0.0994297,
        0.0930709,
        0.0895139,
        0.0858126,
        0.081657,
        0.079753,
        0.0784553,
        0.0778425,
        0.0782675,
        0.0802236,
        0.0807034,
        0.0817538,
        0.094256,
        0.0953741,
        0.0860095,
        0.0843293,
        0.0824056,
        0.0798618,
        0.077446,
        0.076011,
        0.0755338,
        0.075995,
        0.0754896,
        0.0761575,
        0.0770595,
        0.0777716,
        0.0802125,
        0.0812274,
        0.0836671,
        0.0878982,
        0.101902,
        0.10535,
        0.0998442,
        0.105482,
        0.111641,
        0.117116,
        0.121751,
        0.124922,
        0.133887,
        0.143462,
        0.16777,
        0.181387,
        0.18359,
        0.209337,
        0.236321,
        0.28042,
        0.287799,
        0.238589,
        0.198423,
        0.166873,
        0.148963,
        0.134907,
        0.122997,
        0.114127,
        0.107256,
        0.10187,
        0.0951083,
        0.0919019,
        0.0890551,
        0.0926324,
        0.0883113,
        0.0815819,
        0.0800619,
        0.079723,
        0.0792033,
        0.0809727,
        0.0819039,
        0.0825679,
        0.0810048,
        0.0811099,
        0.0801567,
        0.0874006,
        0.0892311,
        0.0853938,
        0.091477,
        0.102143,
        0.118937,
        0.142487,
        0.175241,
        0.227832,
        0.256345,
        0.223307,
        0.180147,
        0.141683,
        0.123662,
        0.113638,
        0.110863,
        0.105988,
        0.0923326,
        0.0894955,
        0.0874329,
        0.0873753,
        0.0878907,
        0.089032,
        0.0915757,
        0.0947149,
        0.0962601,
        0.0997412,
        0.111482,
        0.121581,
        0.123338,
        0.139029,
        0.133707,
        0.14413,
        0.157512,
        0.17308,
        0.19637,
        0.221262,
        0.262108,
        0.277549,
        0.2321,
        0.197207,
        0.17413,
        0.15771,
        0.141415,
        0.13569,
        0.121812,
        0.114401,
        0.105933,
        0.100855,
        0.0963319,
        0.0920384,
        0.0881064,
        0.0872347,
        0.0882563,
        0.0875463,
        0.0883854,
        0.091009,
        0.0910361,
        0.0829965,
        0.0811544,
        0.0776973,
        0.075381,
        0.0741354,
        0.0738708,
        0.07196,
        0.0711235,
        0.0687301,
        0.0666239,
        0.0660351,
        0.0646402,
        0.0640114,
        0.0629126,
        0.0628833,
        0.0623455,
        0.062149,
        0.0619797,
        0.06244,
        0.062473,
        0.0622812,
        0.0626063,
        0.0636646,
        0.0645609,
        0.0647206,
        0.0652567,
        0.0653087,
        0.0660546,
        0.0655749,
        0.0653537,
        0.0667102,
        0.0669168,
        0.0678403,
        0.0696452,
        0.070269,
        0.0718293,
        0.073922,
        0.0765202,
        0.0776434,
        0.0815257,
        0.0848303,
        0.0860592,
        0.0902197,
        0.0956344,
        0.101678,
        0.108432,
        0.116005,
        0.126689,
        0.138015,
        0.151313,
        0.167682,
        0.189138,
        0.217097,
        0.251996,
        0.265006,
        0.230875,
        0.213495,
        0.187791,
        0.169017,
        0.157736,
        0.146198,
        0.135433,
        0.125582,
        0.118391,
        0.114227,
        0.108077,
        0.108081,
        0.100733,
        0.0914303,
        0.0870209,
        0.0831288,
        0.0793829,
        0.0764364,
        0.0741581,
        0.0727015,
        0.0709973,
        0.069516,
        0.0681357,
        0.0666339,
        0.0659637,
        0.0648318,
        0.0650875,
        0.0643954,
        0.0639669,
        0.0634804,
        0.0636637,
        0.0625426,
        0.0613714,
        0.0614364,
        0.0658652,
        0.0642371,
        0.0612235,
        0.0613195,
        0.0609785,
        0.0607882,
        0.0670141,
        0.0670481,
        0.0610284,
        0.0618259,
        0.0618926,
        0.0626892,
        0.063914,
        0.0643134,
        0.0650074,
        0.0646803,
        0.065021,
        0.0671608,
        0.0693868,
        0.0706046,
        0.0717147,
        0.0741206,
        0.0757256,
        0.0761655,
        0.0770871,
        0.0786972,
        0.0806182,
        0.0818806,
        0.0852484,
        0.0892063,
        0.0916148,
        0.0943404,
        0.0995512,
        0.105678,
        0.117168,
        0.124859,
        0.134635,
        0.145653,
        0.161711,
        0.187146,
        0.220626,
        0.278557,
        0.324692,
        0.239436,
        0.2138,
        0.18747,
        0.166773,
        0.149629,
        0.139282,
        0.126226,
        0.117875,
        0.109842,
        0.102936,
        0.0986197,
        0.0954803,
        0.0915692,
        0.0886853,
        0.0866992,
        0.084425,
        0.0828392,
        0.0816221,
        0.0800482,
        0.087157,
        0.0829741,
        0.0821237,
        0.0826892,
        0.0968262,
        0.0948996,
        0.094734,
        0.10354,
        0.11201,
        0.128064,
        0.149642,
        0.179382,
        0.224924,
        0.260855,
        0.229296,
        0.186185,
        0.150961,
        0.129645,
        0.113214,
        0.10431,
        0.095629,
        0.0941669,
        0.0904901,
        0.0822585,
        0.0795169,
        0.0792958,
        0.0790857,
        0.0772385,
        0.076657,
        0.0767366,
        0.0778916,
        0.0780129,
        0.0805419,
        0.081061,
        0.0812722,
        0.0825726,
        0.0850154,
        0.0883264,
        0.0919217,
        0.0941149,
        0.0994405,
        0.117647,
        0.13422,
        0.121727,
        0.130134,
        0.14984,
        0.164374,
        0.191287,
        0.234561,
        0.30573,
        0.262779,
        0.22578,
        0.199473,
        0.176799,
        0.157792,
        0.146867,
        0.133544,
        0.127698,
        0.124291,
        0.114151,
        0.10683,
        0.100643,
        0.0973895,
        0.0951918,
        0.0923741,
        0.0869458,
        0.0826575,
        0.0791081,
        0.0772059,
        0.0761421,
        0.0739602,
        0.0721313,
        0.0713464,
        0.0704032,
        0.06723,
        0.0668607,
        0.066796,
        0.0671902,
        0.0717265,
        0.0728227,
        0.0648374,
        0.0648023,
        0.0651683,
        0.0646773,
        0.0642133,
        0.0647025,
        0.0659192,
        0.0663734,
        0.0668461,
        0.0705374,
        0.0729218,
        0.0684439,
        0.0704376,
        0.0748453,
        0.0717612,
        0.0734089,
        0.0754991,
        0.0763123,
        0.0795235,
        0.0821564,
        0.0866709,
        0.0902464,
        0.0930201,
        0.0963378,
        0.0980722,
        0.101841,
        0.107036,
        0.114056,
        0.1239,
        0.137894,
        0.154902,
        0.177249,
        0.216096,
        0.28038,
        0.225605,
        0.21633,
        0.214318,
        0.213908,
        0.217523,
        0.230496,
        0.23457,
        0.252877,
        0.262823,
        0.237084,
        0.204506,
        0.183639,
        0.164638,
        0.153884,
        0.141538,
        0.131729,
        0.125218,
        0.118224,
        0.111679,
        0.106772,
        0.102761,
        0.0981635,
        0.0948018,
        0.0940057,
        0.0912226,
        0.0906558,
        0.0902953,
        0.0905409,
        0.0924546,
        0.0905798,
        0.0868755,
        0.0896348,
        0.0834364,
        0.0807571,
        0.08094,
        0.0797082,
        0.0813192,
        0.0813908,
        0.0812893,
        0.0803271,
        0.0788416,
        0.0762189,
        0.0753789,
        0.0751512,
        0.0766868,
        0.076247,
        0.0765172,
        0.077957,
        0.0788311,
        0.0803267,
        0.0820362,
        0.0835894,
        0.0883004,
        0.107072,
        0.108369,
        0.105201,
        0.116689,
        0.129272,
        0.148278,
        0.174132,
        0.215041,
        0.273868,
        0.368792,
        0.220512,
        0.187788,
        0.162158,
        0.148148,
        0.137836,
        0.127878,
        0.123182,
        0.121358,
        0.115448,
        0.114364,
        0.115196,
        0.117436,
        0.117517,
        0.118855,
        0.124281,
        0.12764,
        0.136118,
        0.143084,
        0.153084,
        0.169346,
        0.216283,
        0.250345,
        0.280528,
        0.343993,
        0.227522,
        0.201861,
        0.190585,
        0.173922,
        0.163829,
        0.158564,
        0.148684,
        0.141041,
        0.133371,
        0.134242,
        0.127996,
        0.110042,
        0.10228,
        0.101539,
        0.0991101,
        0.0925965,
        0.0900295,
        0.0865153,
        0.0846881,
        0.0817833,
        0.0827588,
        0.0804745,
        0.0805443,
        0.0784438,
        0.0782832,
        0.0793495,
        0.0794754,
        0.0860551,
        0.0889614,
        0.0812675,
        0.0828291,
        0.0845297,
        0.0866186,
        0.0882146,
        0.0924737,
        0.103881,
        0.105272,
        0.112785,
        0.125111,
        0.140478,
        0.163334,
        0.201775,
        0.346809,
        0.180274,
        0.158449,
        0.135079,
        0.124006,
        0.118499,
        0.112398,
        0.107068,
        0.104273,
        0.0992788,
        0.0964312,
        0.099783,
        0.100374,
        0.0960669,
        0.0962664,
        0.0957049,
        0.0964848,
        0.0950089,
        0.0980928,
        0.0987947,
        0.102019,
        0.103865,
        0.108019,
        0.114912,
        0.12218,
        0.124323,
        0.126636,
        0.131949,
        0.136965,
        0.142987,
        0.157124,
        0.163907,
        0.181979,
        0.199649,
        0.219428,
        0.24952,
        0.28019,
        0.245349,
        0.224079,
        0.197393,
        0.18029,
        0.167256,
        0.158807,
        0.149541,
        0.146574,
        0.139284,
        0.139171,
        0.131344,
        0.131192,
        0.127371,
        0.123065,
        0.11813,
        0.115011,
        0.111709,
        0.107627,
        0.103833,
        0.105623,
        0.106281,
        0.105101,
        0.116924,
        0.122893,
        0.124207,
        0.120245,
        0.136148,
        0.150325,
        0.158896,
        0.183136,
        0.210744,
        0.2709,
        0.195109,
        0.167597,
        0.14193,
        0.125572,
        0.118044,
        0.112508,
        0.101971,
        0.0979583,
        0.095348,
        0.0916499,
        0.0899175,
        0.08731,
        0.0846737,
        0.0840516,
        0.0839974,
        0.0831279,
        0.0822023,
        0.0818852,
        0.0827293,
        0.0822238,
        0.084418,
        0.086647,
        0.0862782,
        0.0884315,
        0.0925069,
        0.0931327,
        0.0931034,
        0.0935935,
        0.0931421,
        0.092295,
        0.0930109,
        0.0941684,
        0.0958182,
        0.100398,
        0.0992598,
        0.104047,
        0.108177,
        0.113263,
        0.117965,
        0.126059,
        0.132285,
        0.141029,
        0.15473,
        0.166035,
        0.191343,
        0.21588,
        0.237458,
        null,
        0.21159,
        0.222582,
        0.254702,
        0.219247,
        0.176894,
        0.138686,
        0.116291,
        0.101844,
        0.0916046,
        0.0838122,
        0.0771102,
        0.0724596,
        0.07084,
        0.0679191,
        0.0638688,
        0.0614045,
        0.0601579,
        0.0582601,
        0.0574839,
        0.0571129,
        0.0573378,
        0.0589741,
        0.0607924,
        0.0628125,
        0.0646043,
        0.0650423,
        0.063112,
        0.0600928,
        0.0572133,
        0.0548167,
        0.0529893,
        0.0515178,
        0.050671,
        0.0500371,
        0.0495234,
        0.0492164,
        0.0491461,
        0.0489562,
        0.0492151,
        0.0492893,
        0.0494876,
        0.0499251,
        0.0502467,
        0.0510472,
        0.0516877,
        0.0521767,
        0.0527704,
        0.053457,
        0.0540761,
        0.0547067,
        0.0560134,
        0.0579261,
        0.059424,
        0.061226,
        0.0639403,
        0.0663667,
        0.0688277,
        0.072334,
        0.0776752,
        0.0837769,
        0.0906577,
        0.100005,
        0.109717,
        0.117915,
        0.125515,
        0.134724,
        0.147069,
        0.16747,
        0.195386,
        0.234184,
        0.234407,
        0.17876,
        0.145216,
        0.135876,
        0.117653,
        0.0993136,
        0.0927851,
        0.0899426,
        0.0870303,
        0.0852533,
        0.0826243,
        0.0781348,
        0.0728293,
        0.0681091,
        0.0647389,
        0.0617646,
        0.0601204,
        0.0590717,
        0.0583641,
        0.0581529,
        0.0582537,
        0.0587739,
        0.0588929,
        0.0587217,
        0.0584607,
        0.0583252,
        0.0591123,
        0.0605435,
        0.062386,
        0.0635498,
        0.0635776,
        0.0616084,
        0.0581028,
        0.0543053,
        0.0511393,
        0.0489825,
        0.0474857,
        0.0462063,
        0.0454036,
        0.0451417,
        0.044792,
        0.0446499,
        0.0451584,
        0.0455231,
        0.0454877,
        0.0454817,
        0.0460211,
        0.0465482,
        0.0465791,
        0.046641,
        0.0472653,
        0.0480089,
        0.048644,
        0.0487624,
        0.0493402,
        0.0503505,
        0.0511284,
        0.0518946,
        0.0527852,
        0.0544199,
        0.0559829,
        0.0574658,
        0.0593153,
        0.0615189,
        0.0637955,
        0.0656939,
        0.0696916,
        0.0751817,
        0.0801379,
        0.0873256,
        0.0951804,
        0.105349,
        0.118684,
        0.135609,
        0.15998,
        0.19846,
        0.253756,
        0.289823,
        0.243608,
        0.203828,
        0.177687,
        0.153109,
        0.132237,
        0.113643,
        0.0967084,
        0.0863846,
        0.0783626,
        0.0719869,
        0.066881,
        0.0630342,
        0.059833,
        0.0568085,
        0.0548418,
        0.0535353,
        0.0520269,
        0.051037,
        0.0500941,
        0.0497027,
        0.0493791,
        0.0489945,
        0.0483995,
        0.0479188,
        0.0468361,
        0.0456115,
        0.0443967,
        0.0436784,
        0.0427715,
        0.0416345,
        0.0408576,
        0.0405068,
        0.0402105,
        0.0400956,
        0.0399747,
        0.0402222,
        0.040137,
        0.0396707,
        0.0393341,
        0.0392054,
        0.0391444,
        0.0385381,
        0.0381826,
        0.0381107,
        0.0377356,
        0.0376058,
        0.0375946,
        0.0375538,
        0.0374533,
        0.0377065,
        0.0389693,
        0.0391923,
        0.0389018,
        0.0391727,
        0.0398267,
        0.0397906,
        0.0401896,
        0.0411293,
        0.0419022,
        0.0426531,
        0.0437566,
        0.0445002,
        0.0457063,
        0.0467469,
        0.0476873,
        0.0488063,
        0.0498233,
        0.05087,
        0.0520356,
        0.0572522,
        0.0594868,
        0.0566236,
        0.0589903,
        0.0625805,
        0.0668276,
        0.0780669,
        0.0827002,
        0.08713,
        0.0967236,
        0.103924,
        0.10859,
        0.115595,
        0.124686,
        0.140183,
        0.162285,
        0.191588,
        0.233882,
        0.192749,
        0.152744,
        0.126726,
        0.108983,
        0.0975661,
        0.0875339,
        0.0800356,
        0.0741847,
        0.0692528,
        0.0649595,
        0.0614572,
        0.0587678,
        0.057199,
        0.0563809,
        0.0556914,
        0.0552563,
        0.0541206,
        0.0529022,
        0.051472,
        0.0503179,
        0.0490855,
        0.0476982,
        0.046274,
        0.044929,
        0.0432906,
        0.0422326,
        0.0431183,
        0.0423218,
        0.0459525,
        0.0457222,
        0.0390121,
        0.0392097,
        0.0389923,
        0.0382959,
        0.0379469,
        0.0380914,
        0.0382371,
        0.0376856,
        0.0375089,
        0.0376618,
        0.0377911,
        0.0381994,
        0.0387477,
        0.0399455,
        0.0417544,
        0.043975,
        0.045701,
        0.0492193,
        0.04861,
        0.0439841,
        0.0418695,
        0.0400184,
        0.0388049,
        0.0382769,
        0.0381503,
        0.0381132,
        0.0380468,
        0.0420379,
        0.0410891,
        0.0382415,
        0.0387744,
        0.039373,
        0.0396638,
        0.0403706,
        0.0410196,
        0.041704,
        0.0424878,
        0.0432562,
        0.0443208,
        0.0449884,
        0.0461238,
        0.0476457,
        0.0495668,
        0.0516194,
        0.0544991,
        0.0578087,
        0.0619067,
        0.067469,
        0.0745101,
        0.0838259,
        0.0952955,
        0.108967,
        0.126234,
        0.147131,
        0.171199,
        0.209132,
        0.205371,
        0.168432,
        0.141299,
        0.118678,
        0.108873,
        0.0996239,
        0.089817,
        0.0858036,
        0.0822619,
        0.0817984,
        0.0836037,
        0.0849643,
        0.0866083,
        0.0804979,
        0.0744041,
        0.0716739,
        0.0716695,
        0.0729453,
        0.0756321,
        0.0815584,
        0.0928712,
        0.110683,
        0.142367,
        0.204755,
        0.160266,
        0.121809,
        0.0977154,
        0.0783447,
        0.0672094,
        0.0599957,
        0.055318,
        0.0517532,
        0.0485183,
        0.0460771,
        0.0446887,
        0.043543,
        0.0423,
        0.0420197,
        0.0412201,
        0.0407208,
        0.0404931,
        0.0417384,
        0.0415697,
        0.0392255,
        0.0408574,
        0.0398552,
        0.0414512,
        0.0415503,
        0.038472,
        0.0382714,
        0.0385474,
        0.0390081,
        0.0400767,
        0.0414112,
        0.0432791,
        0.0457243,
        0.0487612,
        0.0521758,
        0.0543707,
        0.0548098,
        0.054285,
        0.0533799,
        0.0533083,
        0.0601535,
        0.0619417,
        0.0594323,
        0.064144,
        0.0705575,
        0.0799375,
        0.0944455,
        0.115904,
        0.146685,
        0.193163,
        0.252908,
        0.24138,
        0.204382,
        0.176975,
        0.159302,
        0.144529,
        0.136512,
        0.137284,
        0.14058,
        0.144244,
        0.165081,
        0.188794,
        0.220313,
        0.168258,
        0.133255,
        0.113912,
        0.0937638,
        0.0797764,
        0.0725655,
        0.0657865,
        0.0608609,
        0.0568543,
        0.0534201,
        0.0509365,
        0.0487865,
        0.0470119,
        0.0508605,
        0.0485834,
        0.0429608,
        0.0420566,
        0.041473,
        0.0407109,
        0.0400231,
        0.0392491,
        0.0387455,
        0.0385499,
        0.0383775,
        0.0378913,
        0.037944,
        0.0380123,
        0.0380798,
        0.037821,
        0.0375443,
        0.037325,
        0.0368689,
        0.0365252,
        0.0356901,
        0.0352703,
        0.0348077,
        0.0348033,
        0.0351005,
        0.0349046,
        0.0349412,
        0.035149,
        0.035927,
        0.0369029,
        0.0380675,
        0.0400585,
        0.0418388,
        0.0439489,
        0.0459305,
        0.0468368,
        0.0467321,
        0.0459501,
        0.0453983,
        0.0459368,
        0.0473519,
        0.0493742,
        0.0511487,
        0.0502778,
        0.048119,
        0.0465496,
        0.0458594,
        0.0465315,
        0.0464777,
        0.0472721,
        0.049101,
        0.0522248,
        0.0566227,
        0.0628235,
        0.0720468,
        0.0845733,
        0.119798,
        0.154558,
        0.170281,
        0.216438,
        0.172278,
        0.131712,
        0.105314,
        0.109006,
        0.0955919,
        0.0705181,
        0.0654906,
        0.0605849,
        0.0581221,
        0.056792,
        0.0561304,
        0.055782,
        0.0564713,
        0.0582379,
        0.0596192,
        0.064103,
        0.0690124,
        0.0707933,
        0.0777152,
        0.0867671,
        0.103536,
        0.11715,
        0.141877,
        0.191901,
        0.199761,
        0.154854,
        0.125075,
        0.103185,
        0.088774,
        0.0823818,
        0.075717,
        0.0630784,
        0.0593161,
        0.0560531,
        0.0534922,
        0.0512764,
        0.0492273,
        0.0476331,
        0.0464961,
        0.0461827,
        0.0465026,
        0.0479367,
        0.0492713,
        0.0508758,
        0.0509167,
        0.0493613,
        0.0474241,
        0.0449152,
        0.0432606,
        0.042468,
        0.0421359,
        0.0425983,
        0.0438524,
        0.045398,
        0.0468553,
        0.0470186,
        0.0449125,
        0.0427632,
        0.0403363,
        0.0392002,
        0.0380724,
        0.0367564,
        0.0361737,
        0.0361619,
        0.0361286,
        0.036224,
        0.0390186,
        0.0392608,
        0.036964,
        0.037175,
        0.0378893,
        0.0388001,
        0.0391249,
        0.0398217,
        0.0407631,
        0.0412095,
        0.0420244,
        0.0425946,
        0.0442284,
        0.0470828,
        0.05011,
        0.0540823,
        0.0598044,
        0.0658817,
        0.0745736,
        0.0864791,
        0.107964,
        0.139197,
        0.171907,
        0.205329,
        0.224357,
        0.217274,
        0.22292,
        0.216477,
        0.197778,
        0.165062,
        0.140391,
        0.109743,
        0.0845316,
        0.077226,
        0.0683117,
        0.0626165,
        0.0567567,
        0.050881,
        0.0484794,
        0.0467841,
        0.0456107,
        0.0445609,
        0.0441674,
        0.0458782,
        0.0462021,
        0.0440727,
        0.0441111,
        0.0452945,
        0.0461448,
        0.0462481,
        0.0477022,
        0.0520532,
        0.055862,
        0.0546738,
        0.0581124,
        0.0615829,
        0.0669273,
        0.0743272,
        0.0831197,
        0.100299,
        0.111333,
        0.127946,
        0.150857,
        0.178937,
        0.226591,
        0.31105,
        0.215942,
        0.171122,
        0.140408,
        0.121998,
        0.110868,
        0.107442,
        0.106674,
        0.112126,
        0.127555,
        0.151229,
        0.194574,
        0.215762,
        0.153112,
        0.113923,
        0.0924043,
        0.0784278,
        0.069437,
        0.0630487,
        0.0586445,
        0.0561032,
        0.0542089,
        0.053214,
        0.0529342,
        0.0526013,
        0.0527272,
        0.0547238,
        0.0572386,
        0.0605175,
        0.0648081,
        0.072244,
        0.0818519,
        0.0966689,
        0.121189,
        0.159637,
        0.223463,
        0.325824,
        0.245876,
        0.18589,
        0.161639,
        0.15642,
        0.165196,
        0.187378,
        0.215199,
        0.231569,
        0.220308,
        0.220979,
        0.220978,
        0.218522,
        0.208327,
        0.184709,
        0.167305,
        0.140561,
        0.11102,
        0.0961001,
        0.0841824,
        0.0746459,
        0.0680235,
        0.0607325,
        0.0533741,
        0.0493042,
        0.0509326,
        0.0490416,
        0.0440512,
        0.0438207,
        0.0420492,
        0.0406551,
        0.03992,
        0.0395765,
        0.0392466,
        0.0388903,
        0.0393968,
        0.0400402,
        0.0415733,
        0.0420994,
        0.0410004,
        0.0438082,
        0.0427003,
        0.0419507,
        0.0419459,
        0.0420872,
        0.0420941,
        0.0424192,
        0.0428319,
        0.0437482,
        0.0449607,
        0.0481849,
        0.0575527,
        0.0579235,
        0.0541898,
        0.0583489,
        0.0639186,
        0.0699149,
        0.0793438,
        0.0941818,
        0.113876,
        0.143848,
        0.23231,
        0.249377,
        0.171998,
        0.128464,
        0.104892,
        0.0872895,
        0.074978,
        0.0674258,
        0.0609946,
        0.0560786,
        0.0521687,
        0.0496437,
        0.0472624,
        0.0456674,
        0.0445057,
        0.0443567,
        0.0462526,
        0.0460067,
        0.0447336,
        0.0445291,
        0.0440634,
        0.0432527,
        0.0437104,
        0.043261,
        0.0438681,
        0.0409448,
        0.0397932,
        0.0403783,
        0.0406841,
        0.0420864,
        0.043591,
        0.0452867,
        0.0481871,
        0.048376,
        0.0471339,
        0.0456797,
        0.0443214,
        0.0453061,
        0.0457652,
        0.0455639,
        0.0481128,
        0.0499617,
        0.0516823,
        0.0568805,
        0.0644628,
        0.0744442,
        0.0887006,
        0.107237,
        0.134304,
        0.151039,
        0.149823,
        0.151746,
        0.148681,
        0.151801,
        0.156585,
        0.138567,
        0.118173,
        0.104008,
        0.0855723,
        0.0689607,
        0.0625662,
        0.0560695,
        0.0504187,
        0.0474875,
        0.0453145,
        0.043632,
        0.0428257,
        0.0425089,
        0.0437336,
        0.0448176,
        0.0448989,
        0.0466248,
        0.0487526,
        0.0516973,
        0.0606042,
        0.0656908,
        0.0671274,
        0.0714024,
        0.0725071,
        0.0710844,
        0.0688355,
        0.0659475,
        0.0645784,
        0.0627605,
        0.0605543,
        0.0585765,
        0.0554237,
        0.052604,
        0.0501307,
        0.0479384,
        0.0471293,
        0.0459732,
        0.0454416,
        0.0447444,
        0.0468483,
        0.0462949,
        0.0464745,
        0.0485472,
        0.0503793,
        0.0521094,
        0.0526333,
        0.0516512,
        0.0511913,
        0.0508115,
        0.0511629,
        0.0526967,
        0.055366,
        0.0589013,
        0.0693786,
        0.076493,
        0.0812018,
        0.0955196,
        0.11606,
        0.157983,
        0.219142,
        0.246428,
        0.176931,
        0.132402,
        0.105098,
        0.0889281,
        0.0767333,
        0.0685826,
        0.0632824,
        0.0588689,
        0.0554048,
        0.0520321,
        0.0496585,
        0.0478982,
        0.0485909,
        0.0461198,
        0.0438884,
        0.0428124,
        0.041656,
        0.0405856,
        0.0400896,
        0.0396336,
        0.0393632,
        0.039157,
        0.0387946,
        0.0393027,
        0.0395206,
        0.0398429,
        0.0453074,
        0.0473324,
        0.0498507,
        0.0481985,
        0.0472722,
        0.0604241,
        0.0667325,
        0.0638477,
        0.0755178,
        0.089148,
        0.105358,
        0.123916,
        0.139211,
        0.134388,
        0.134075,
        0.130909,
        0.131713,
        0.127627,
        0.117888,
        0.104967,
        0.0885701,
        0.0743725,
        0.0640466,
        0.0570236,
        0.051699,
        0.0475672,
        0.043906,
        0.0410857,
        0.0388445,
        0.0370361,
        0.0376347,
        0.0369927,
        0.0340878,
        0.0330111,
        0.0327753,
        0.0325186,
        0.0321772,
        0.0321548,
        0.0319061,
        0.0316922,
        0.0317741,
        0.0318305,
        0.032564,
        0.0330027,
        0.0332731,
        0.0334658,
        0.0337735,
        0.0347422,
        0.0356074,
        0.0374728,
        0.039123,
        0.041574,
        0.0446882,
        0.0478289,
        0.0499086,
        0.0506167,
        0.0484761,
        0.0482766,
        0.0445312,
        0.0399485,
        0.0379097,
        0.0362585,
        0.0357384,
        0.0352251,
        0.0349999,
        0.0349831,
        0.0349094,
        0.0382076,
        0.0378748,
        0.0359958,
        0.0407165,
        0.0416006,
        0.0393972,
        0.0406232,
        0.041854,
        0.0432501,
        0.0466014,
        0.0484971,
        0.0464806,
        0.0471036,
        0.0557933,
        0.0587879,
        0.0601683,
        0.0625324,
        0.066798,
        0.0775657,
        0.0927534,
        0.111967,
        0.144587,
        0.201482,
        0.19401,
        0.146354,
        0.115947,
        0.096448,
        0.0811595,
        0.0704479,
        0.0625024,
        0.0595662,
        0.0544146,
        0.0511736,
        0.048996,
        0.047698,
        0.0465378,
        0.0458353,
        0.0452699,
        0.0449316,
        0.0451569,
        0.0457428,
        0.0463005,
        0.046573,
        0.0478903,
        0.0504867,
        0.0526651,
        0.0563139,
        0.0620861,
        0.0703183,
        0.0814833,
        0.0959825,
        0.109671,
        0.125149,
        0.133936,
        0.129953,
        0.130666,
        0.148267,
        0.147966,
        0.131646,
        0.12408,
        0.109028,
        0.0925736,
        0.080917,
        0.0719526,
        0.0665095,
        0.0632821,
        0.0617664,
        0.0620706,
        0.0624886,
        0.0647553,
        0.0668356,
        0.0692425,
        0.0720978,
        0.0767843,
        0.0846519,
        0.10848,
        0.134686,
        0.157732,
        0.215791,
        0.332733,
        0.132602,
        0.10689,
        0.0861979,
        0.0735214,
        0.064032,
        0.0591852,
        0.055458,
        0.050619,
        0.0477418,
        0.0465505,
        0.0450519,
        0.0438289,
        0.043572,
        0.0432257,
        0.0426092,
        0.042682,
        0.042725,
        0.0424841,
        0.0418807,
        0.0410881,
        0.0397706,
        0.0389908,
        0.0380945,
        0.0370667,
        0.0365069,
        0.0359809,
        0.0353389,
        0.0386173,
        0.0384574,
        0.0346329,
        0.0342525,
        0.0344085,
        0.0346268,
        0.0347624,
        0.0347556,
        0.0350189,
        0.0355346,
        0.036345,
        0.0369506,
        0.0375888,
        0.0384215,
        0.0392485,
        0.0409614,
        0.0430492,
        0.0453466,
        0.0490848,
        0.0530847,
        0.057662,
        0.0641493,
        0.0736124,
        0.0883083,
        0.107815,
        0.137222,
        0.183861,
        0.213184,
        0.168227,
        0.135628,
        0.112779,
        0.0910392,
        0.0803446,
        0.0737989,
        0.0723414,
        0.0731352,
        0.0723841,
        0.0702385,
        0.0704635,
        0.0716584,
        0.0725911,
        0.0742989,
        0.0765775,
        0.0845383,
        0.0936065,
        0.0982417,
        0.109685,
        0.117514,
        0.116338,
        0.115005,
        0.111506,
        0.113366,
        0.113703,
        0.113871,
        0.114606,
        0.096498,
        0.0810886,
        0.0706323,
        0.0609136,
        0.0549624,
        0.0500349,
        0.0466285,
        0.044076,
        0.04187,
        0.0403761,
        0.0394432,
        0.0388607,
        0.0386864,
        0.0386297,
        0.039398,
        0.0401581,
        0.0408534,
        0.0407318,
        0.0403634,
        0.0389642,
        0.0370519,
        0.0357313,
        0.0346755,
        0.0337151,
        0.0338059,
        0.033479,
        0.0369012,
        0.0366514,
        0.0335318,
        0.0337844,
        0.0339384,
        0.0344916,
        0.038092,
        0.0383506,
        0.0359182,
        0.0362347,
        0.0365143,
        0.0357916,
        0.0351134,
        0.0346315,
        0.0343003,
        0.0350885,
        0.0343966,
        0.0324523,
        0.0321009,
        0.0319908,
        0.0324034,
        0.0363518,
        0.0358691,
        0.0318862,
        0.0322016,
        0.0317573,
        0.0319726,
        0.0317929,
        0.0318016,
        0.0314557,
        0.0316163,
        0.0316651,
        0.031643,
        0.031549,
        0.0316916,
        0.0316349,
        0.0320072,
        0.0322287,
        0.0324096,
        0.0326517,
        0.0331095,
        0.0336753,
        0.0372315,
        0.035967,
        0.0353971,
        0.0370932,
        0.037953,
        0.0394479,
        0.0411364,
        0.0422983,
        0.0424613,
        0.0422689,
        0.0416824,
        0.045501,
        0.0433676,
        0.0421422,
        0.0433542,
        0.0444893,
        0.0466702,
        0.049148,
        0.0528114,
        0.0566098,
        0.061914,
        0.068874,
        0.0761409,
        0.0869533,
        0.117405,
        0.147614,
        0.170919,
        0.235604,
        0.177722,
        0.147722,
        0.131453,
        0.122115,
        0.12138,
        0.123861,
        0.132973,
        0.14685,
        0.165423,
        0.185228,
        0.196842,
        0.205107,
        0.229027,
        0.395672,
        0.247795,
        0.159282,
        0.134948,
        0.114944,
        0.0976757,
        0.085414,
        0.075317,
        0.0675706,
        0.0616958,
        0.0570295,
        0.0531363,
        0.0505732,
        0.0481401,
        0.0468464,
        0.0449492,
        0.0442391,
        0.0439627,
        0.0440138,
        0.0445764,
        0.0453662,
        0.0458701,
        0.0452089,
        0.0442193,
        0.0424451,
        0.0408829,
        0.0399355,
        0.0382305,
        0.0388898,
        0.0385064,
        0.0361496,
        0.0359088,
        0.0355515,
        0.0353233,
        0.0375656,
        0.0361872,
        0.0352348,
        0.035283,
        0.0354266,
        0.035687,
        0.0361132,
        0.036789,
        0.0378413,
        0.0397067,
        0.0409938,
        0.0405642,
        0.0400133,
        0.0385562,
        0.0370775,
        0.0362224,
        0.0354037,
        0.034879,
        0.0345324,
        0.0342934,
        0.0344573,
        0.0341151,
        0.0341442,
        0.0344314,
        0.033984,
        0.0340526,
        0.0344779,
        0.0346045,
        0.0348874,
        0.0349093,
        0.03487,
        0.0348276,
        0.0352413,
        0.0348611,
        0.034391,
        0.034258,
        0.0344065,
        0.0346024,
        0.0345424,
        0.0390746,
        0.0397134,
        0.0360863,
        0.0365764,
        0.0371854,
        0.0373052,
        0.0379254,
        0.0380533,
        0.0370458,
        0.0371679,
        0.0374999,
        0.0375051,
        0.0379225,
        0.0382426,
        0.0381437,
        0.0390185,
        0.0400864,
        0.0413398,
        0.0427417,
        0.0441979,
        0.0457892,
        0.0484103,
        0.0515147,
        0.0548916,
        0.0603025,
        0.0673275,
        0.0750427,
        0.0868383,
        0.102393,
        0.128843,
        0.167068,
        0.234962,
        0.248853,
        0.209899,
        0.180117,
        0.169421,
        0.16728,
        0.15677,
        0.140981,
        0.122988,
        0.105382,
        0.0903353,
        0.0775316,
        0.0691226,
        0.0629643,
        0.0586729,
        0.0548459,
        0.0521017,
        0.0511771,
        0.0503037,
        0.0498332,
        0.0491698,
        0.0485308,
        0.0486326,
        0.0479921,
        0.0461647,
        0.0452072,
        0.0440168,
        0.043411,
        0.0430026,
        0.043394,
        0.0486284,
        0.0476674,
        0.0404038,
        0.0392186,
        0.038817,
        0.0383267,
        0.0382952,
        0.0382494,
        0.0381875,
        0.0381291,
        0.0376076,
        0.0375547,
        0.0374794,
        0.0381779,
        0.0384176,
        0.0391227,
        0.0395906,
        0.0404569,
        0.0399023,
        0.0407201,
        0.0418095,
        0.0424645,
        0.0431715,
        0.0443874,
        0.0456933,
        0.0477431,
        0.0504916,
        0.0527792,
        0.0558018,
        0.0596013,
        0.0648932,
        0.0717664,
        0.0811394,
        0.094128,
        0.115384,
        0.145858,
        0.188542,
        0.195102,
        0.15512,
        0.123235,
        0.0993985,
        0.0854377,
        0.0763324,
        0.068587,
        0.0628434,
        0.0595249,
        0.0551728,
        0.0518102,
        0.0494917,
        0.0475417,
        0.0465046,
        0.045313,
        0.0441073,
        0.0433886,
        0.043276,
        0.0428091,
        0.04258,
        0.0422569,
        0.041394,
        0.04119,
        0.0413638,
        0.0415425,
        0.0415697,
        0.0428878,
        0.0441303,
        0.0457529,
        0.0442232,
        0.0450994,
        0.046347,
        0.0469016,
        0.0478097,
        0.0499554,
        0.0554409,
        0.0611009,
        0.0605339,
        0.0656367,
        0.071137,
        0.0796453,
        0.0910615,
        0.104828,
        0.12155,
        0.142323,
        0.162759,
        0.18609,
        0.20649,
        0.242029,
        0.341324,
        0.187887,
        0.146495,
        0.117864,
        0.0978026,
        0.0853614,
        0.0745298,
        0.0675457,
        0.0618171,
        0.0569329,
        0.0540269,
        0.0519954,
        0.0491743,
        0.0477797,
        0.0462292,
        0.0445773,
        0.043355,
        0.042451,
        0.0407855,
        0.0409195,
        0.0398064,
        0.0395639,
        0.0394252,
        0.039304,
        0.038831,
        0.0382613,
        0.0381676,
        0.0382229,
        0.0382163,
        0.0380306,
        0.0380766,
        0.0378083,
        0.0378551,
        0.0380369,
        0.0386151,
        0.0393198,
        0.0400459,
        0.0407176,
        0.0416002,
        0.0423715,
        0.0429962,
        0.0428053,
        0.0434524,
        0.044029,
        0.0435574,
        0.0425102,
        0.0423989,
        0.0425727,
        0.0435764,
        0.0414402,
        0.0409545,
        0.0424631,
        0.0393004,
        0.0390124,
        0.0392683,
        0.0388389,
        0.039126,
        0.039222,
        0.0392168,
        0.0395995,
        0.0400315,
        0.0398139,
        0.0393492,
        0.0389121,
        0.038987,
        0.0377906,
        0.0374068,
        0.0372464,
        0.0368156,
        0.0362562,
        0.0362248,
        0.0358685,
        0.0351865,
        0.0353947,
        0.0353871,
        0.0351941,
        0.0353227,
        0.0356233,
        0.035376,
        0.0353591,
        0.035395,
        0.0354116,
        0.035422,
        0.0351672,
        0.0357525,
        0.0358216,
        0.0359948,
        0.0363225,
        0.0365179,
        0.0370811,
        0.0423193,
        0.0446008,
        0.0380271,
        0.0384394,
        0.0379486,
        0.038491,
        0.0397292,
        0.0401221,
        0.0404681,
        0.0421886,
        0.0438407,
        0.0455739,
        0.0474492,
        0.0494753,
        0.0523132,
        0.0537411,
        0.0554707,
        0.0565808,
        0.0572765,
        0.0589275,
        0.0621402,
        0.0695506,
        0.0776704,
        0.0850055,
        0.0918733,
        0.0998289,
        0.102008,
        0.102073,
        0.09882,
        0.0988018,
        0.0976975,
        0.104507,
        0.106485,
        0.112112,
        0.113573,
        0.110821,
        0.111577,
        0.112853,
        0.119598,
        0.132617,
        0.15448,
        0.188279,
        0.222776,
        0.267384,
        0.254499,
        0.220134,
        0.186777,
        0.142992,
        0.112258,
        0.093821,
        0.0804206,
        0.0711071,
        0.0644739,
        0.0598371,
        0.0555391,
        0.0512348,
        0.0497523,
        0.0479769,
        0.0457507,
        0.0450412,
        0.0441613,
        0.0425134,
        0.041697,
        0.0416719,
        0.0413368,
        0.0407911,
        0.0402799,
        0.0404294,
        0.0408476,
        0.0406767,
        0.041378,
        0.0422607,
        0.041442,
        0.0403178,
        0.0414695,
        0.0435719,
        0.0386736,
        0.0383766,
        0.0381186,
        0.0381029,
        0.0383649,
        0.038353,
        0.0429646,
        0.0415126,
        0.0394591,
        0.0400478,
        0.0402917,
        0.0403208,
        0.0401817,
        0.040098,
        0.0394608,
        0.0397518,
        0.0391554,
        0.0387609,
        0.0390227,
        0.0385363,
        0.0380932,
        0.0383854,
        0.0380041,
        0.0377333,
        0.0376288,
        0.0379954,
        0.0377518,
        0.0382621,
        0.0378525,
        0.0377112,
        0.0374376,
        0.0375624,
        0.0374735,
        0.0378577,
        0.0374305,
        0.0376159,
        0.0375387,
        0.0377646,
        0.0379698,
        0.0373174,
        0.0372438,
        0.0374926,
        0.0380825,
        0.0376014,
        0.0379232,
        0.0384685,
        0.0378389,
        0.0384557,
        0.0384345,
        0.0387995,
        0.0397705,
        0.0408667,
        0.0418704,
        0.0428132,
        0.0440422,
        0.0457495,
        0.0472294,
        0.0481293,
        0.048463,
        0.0480268,
        0.047749,
        0.0478393,
        0.0482155,
        0.0484091,
        0.0490931,
        0.0513452,
        0.0532311,
        0.0541125,
        0.0538878,
        0.0554043,
        0.0574205,
        0.059097,
        0.0623009,
        0.064981,
        0.0693151,
        0.075304,
        0.082079,
        0.0868324,
        0.0858596,
        0.0848912,
        0.0839742,
        0.0811678,
        0.080824,
        0.0838659,
        0.0845081,
        0.0855569,
        0.0870026,
        0.0854255,
        0.0796679,
        0.0739548,
        0.0687029,
        0.0661026,
        0.0632374,
        0.0608555,
        0.0603273,
        0.0605418,
        0.0619729,
        0.0630356,
        0.0660238,
        0.0701984,
        0.0755603,
        0.0835452,
        0.0985232,
        0.122558,
        0.141906,
        0.163659,
        0.191973,
        0.201879,
        0.192735,
        0.163586,
        0.129544,
        0.111543,
        0.0955304,
        0.0823292,
        0.0745089,
        0.0684627,
        0.0656529,
        0.0662842,
        0.0606729,
        0.0558047,
        0.051945,
        0.0511292,
        0.0507908,
        0.0494722,
        0.0494568,
        0.0496638,
        0.0542573,
        0.0533126,
        0.0497764,
        0.0489746,
        0.0488296,
        0.0480468,
        0.0480953,
        0.0468486,
        0.0464302,
        0.0460748,
        0.0464413,
        0.0460833,
        0.0467185,
        0.0462598,
        0.0462429,
        0.0460723,
        0.0463707,
        0.0458689,
        0.0456906,
        0.0459583,
        0.0456355,
        0.0462472,
        0.0460166,
        0.0463396,
        0.0461341,
        0.0470653,
        0.047031,
        0.0471751,
        0.0469649,
        0.0471834,
        0.0477183,
        0.0489841,
        0.047972,
        0.0484312,
        0.0488703,
        0.0494155,
        0.0496784,
        0.0504708,
        0.0498565,
        0.0507776,
        0.0517455,
        0.0536282,
        0.0548253,
        0.0557022,
        0.0580841,
        0.0596759,
        null,
        0.0365149,
        0.0371371,
        0.0379586,
        0.0391333,
        0.0410765,
        0.0432881,
        0.0456903,
        0.0489276,
        0.0531577,
        0.0572231,
        0.0615398,
        0.0646518,
        0.0660183,
        0.0667833,
        0.0665504,
        0.066941,
        0.0680085,
        0.0687605,
        0.0691891,
        0.0679897,
        0.06543,
        0.0618811,
        0.0567258,
        0.0513398,
        0.0477932,
        0.0451543,
        0.0427839,
        0.0413291,
        0.0405164,
        0.0399451,
        0.0391417,
        0.0378654,
        0.03683,
        0.0367101,
        0.0366177,
        0.0365936,
        0.0370033,
        0.037174,
        0.0375739,
        0.0378148,
        0.0370836,
        0.039032,
        0.0388782,
        0.0396026,
        0.0375453,
        0.0380596,
        0.0389219,
        0.0408496,
        0.0432812,
        0.0465227,
        0.0506028,
        0.0560401,
        0.064053,
        0.0743316,
        0.0856273,
        0.0982017,
        0.0980499,
        0.0830079,
        0.0708677,
        0.0610436,
        0.0531405,
        0.048169,
        0.0451068,
        0.0423089,
        0.0400503,
        0.0385201,
        0.0375821,
        0.0368606,
        0.0361443,
        0.0357775,
        0.0356869,
        0.0397957,
        0.0394229,
        0.0349238,
        0.0351399,
        0.0351496,
        0.0353966,
        0.0359621,
        0.0363661,
        0.0370205,
        0.0379918,
        0.0386001,
        0.0391529,
        0.0395088,
        0.0394881,
        0.0389863,
        0.0397185,
        0.0389509,
        0.037921,
        0.0382864,
        0.0372855,
        0.0341579,
        0.0338666,
        0.0340012,
        0.0344535,
        0.0348837,
        0.0351157,
        0.0348641,
        0.0341327,
        0.0354622,
        0.0341141,
        0.0321894,
        0.0316829,
        0.0312538,
        0.0308046,
        0.0305837,
        0.0306392,
        0.0304687,
        0.030551,
        0.0306535,
        0.0307888,
        0.0310644,
        0.0314047,
        0.0319316,
        0.0326996,
        0.0333501,
        0.0341789,
        0.0352312,
        0.036257,
        0.0379797,
        0.0405133,
        0.0437097,
        0.0468674,
        0.0487326,
        0.0500569,
        0.0500747,
        0.0492006,
        0.0484298,
        0.0481255,
        0.0493079,
        0.0501504,
        0.0505596,
        0.0505403,
        0.0487278,
        0.0456282,
        0.0428695,
        0.0404145,
        0.038918,
        0.0378017,
        0.0368352,
        0.0358442,
        0.0351159,
        0.0343301,
        0.0333979,
        0.0326693,
        0.0321722,
        0.0317758,
        0.0312658,
        0.0306937,
        0.0304768,
        0.0306823,
        0.0307281,
        0.030624,
        0.0306334,
        0.0304655,
        0.0304919,
        0.0304803,
        0.0303346,
        0.0300846,
        0.0302593,
        0.0304513,
        0.0306485,
        0.0309361,
        0.0312502,
        0.0317332,
        0.0324478,
        0.0331071,
        0.0339553,
        0.0349425,
        0.0361425,
        0.0385696,
        0.0412291,
        0.0472952,
        0.0524428,
        0.0550626,
        0.0634465,
        0.0721739,
        0.0776953,
        0.0774691,
        0.0719337,
        0.0645469,
        0.0581072,
        0.0532162,
        0.0509986,
        0.050218,
        0.0501838,
        0.050203,
        0.049777,
        0.048594,
        0.0501211,
        0.0487643,
        0.041876,
        0.0394504,
        0.0375015,
        0.035938,
        0.0363256,
        0.0353217,
        0.032995,
        0.0322556,
        0.0318401,
        0.0314794,
        0.0310588,
        0.0306162,
        0.0303738,
        0.0302598,
        0.0300059,
        0.0300326,
        0.0299105,
        0.0298623,
        0.0296467,
        0.0295868,
        0.0294517,
        0.0293045,
        0.029362,
        0.0295726,
        0.0297465,
        0.0297261,
        0.0297727,
        0.0301307,
        0.0305215,
        0.0332235,
        0.0337952,
        0.0313792,
        0.0316332,
        0.0322732,
        0.0328563,
        0.0335066,
        0.0342063,
        0.0353368,
        0.0366883,
        0.0380252,
        0.0392266,
        0.0411163,
        0.0435288,
        0.0465443,
        0.0499897,
        0.0532156,
        0.0569117,
        0.0600882,
        0.0624492,
        0.0638785,
        0.0659503,
        0.0703651,
        0.0762422,
        0.0850954,
        0.0993414,
        0.119709,
        0.145232,
        0.179852,
        0.307461,
        0.19917,
        0.142061,
        0.108314,
        0.0868016,
        0.0735202,
        0.0646752,
        0.0583032,
        0.0532913,
        0.0492766,
        0.0465594,
        0.0444654,
        0.0427258,
        0.0412207,
        0.0405933,
        0.0404094,
        0.0406479,
        0.0411835,
        0.0418268,
        0.042752,
        0.043366,
        0.0425818,
        0.0414261,
        0.0411308,
        0.0401688,
        0.0391139,
        0.0389021,
        0.0384055,
        0.0379881,
        0.0381257,
        0.0389021,
        0.0399649,
        0.0412734,
        0.0433318,
        0.0460259,
        0.0483739,
        0.0510343,
        0.0539104,
        0.0566782,
        0.0608327,
        0.0655652,
        0.0709167,
        0.0758541,
        0.0755817,
        0.0700976,
        0.0625259,
        0.0557245,
        0.0499828,
        0.0452558,
        0.0413533,
        0.0390027,
        0.0371635,
        0.0354438,
        0.0342507,
        0.0332635,
        0.0322744,
        0.031544,
        0.0308874,
        0.0304243,
        0.030102,
        0.0295167,
        0.0293469,
        0.0290232,
        0.0287256,
        0.0284358,
        0.0288539,
        0.0286334,
        0.0276593,
        0.027483,
        0.027362,
        0.0273207,
        0.0272922,
        0.0272153,
        0.0270714,
        0.027265,
        0.0281287,
        0.0284967,
        0.0285475,
        0.0281971,
        0.0283839,
        0.0285831,
        0.0285877,
        0.0284818,
        0.02866,
        0.0287922,
        0.0291797,
        0.0297017,
        0.030222,
        0.0309729,
        0.0322169,
        0.0337039,
        0.0354732,
        0.0379429,
        0.0402998,
        0.041854,
        0.0429789,
        0.0423834,
        0.0413737,
        0.0410895,
        0.0402754,
        0.0394722,
        0.0399987,
        0.0409338,
        0.0414662,
        0.0413973,
        0.0404137,
        0.0388926,
        0.0374311,
        0.0364666,
        0.0359454,
        0.0376523,
        0.0389661,
        0.0367163,
        0.0365431,
        0.035951,
        0.0367799,
        0.0347359,
        0.0322571,
        0.031084,
        0.0301567,
        0.0294377,
        0.0289653,
        0.028606,
        0.0283518,
        0.028251,
        0.0282141,
        0.0318466,
        0.0311317,
        0.0285031,
        0.0287198,
        0.028892,
        0.0293788,
        0.0296417,
        0.0301423,
        0.0306188,
        0.0311692,
        0.0320067,
        0.0332852,
        0.0398861,
        0.0406293,
        0.0372403,
        0.0395,
        0.0417356,
        0.0442605,
        0.0468888,
        0.0491249,
        0.0518246,
        0.0550281,
        0.0595441,
        0.0660843,
        0.0750254,
        0.0863588,
        0.101782,
        0.11969,
        0.135649,
        0.147906,
        0.148617,
        0.135474,
        0.117386,
        0.1189,
        0.100669,
        0.0748396,
        0.0682708,
        0.0632046,
        0.0600633,
        0.059037,
        0.0596604,
        0.0618573,
        0.0634111,
        0.0625066,
        0.0593154,
        0.0545406,
        0.0490847,
        0.0440428,
        0.0400338,
        0.0398536,
        0.0390865,
        0.0370257,
        0.0322267,
        0.0316497,
        0.0311979,
        0.0303575,
        0.0294178,
        0.0290666,
        0.0288288,
        0.0287098,
        0.0285424,
        0.0283281,
        0.0281012,
        0.0278833,
        0.0283193,
        0.0280215,
        0.0278078,
        0.02788,
        0.0279628,
        0.0282613,
        0.0294455,
        0.0298351,
        0.0292175,
        0.0297257,
        0.0305727,
        0.0309884,
        0.0316323,
        0.0326463,
        0.0336028,
        0.0349742,
        0.0369997,
        0.0431766,
        0.0437958,
        0.0414673,
        0.041796,
        0.0412141,
        0.0405205,
        0.0398605,
        0.0388207,
        0.0374723,
        0.0363361,
        0.036013,
        0.0358705,
        0.0358574,
        0.0363255,
        0.0369994,
        0.0366322,
        0.035861,
        0.0354406,
        0.0336734,
        0.0320997,
        0.0305264,
        0.029124,
        0.0282629,
        0.0276865,
        0.0271686,
        0.0266175,
        0.0280875,
        0.032039,
        0.028301,
        0.0256726,
        0.0257104,
        0.0256621,
        0.0254824,
        0.0253108,
        0.0252165,
        0.0251387,
        0.0249718,
        0.0249311,
        0.0249191,
        0.0252476,
        0.0255426,
        0.0259971,
        0.0269072,
        0.0276571,
        0.0276829,
        0.0281051,
        0.0329726,
        0.0331676,
        0.0287837,
        0.0284227,
        0.0285427,
        0.0275579,
        0.026722,
        0.0261296,
        0.0259223,
        0.0257764,
        0.0254522,
        0.0252953,
        0.0253132,
        0.0250705,
        0.0250095,
        0.0249679,
        0.0250492,
        0.0249798,
        0.0248732,
        0.0249097,
        0.0248618,
        0.025028,
        0.0249897,
        0.0248939,
        0.0249878,
        0.024951,
        0.0249984,
        0.0252074,
        0.0252756,
        0.0253318,
        0.0255264,
        0.0256916,
        0.0261117,
        0.0269826,
        0.0270736,
        0.0271729,
        0.0277644,
        0.0286171,
        0.0295351,
        0.0318613,
        0.0341746,
        0.0353559,
        0.0386977,
        0.0421383,
        0.0446591,
        0.0461196,
        0.0456316,
        0.0435495,
        0.0415745,
        0.0407504,
        0.0398921,
        0.0390569,
        0.0379726,
        0.0358631,
        0.0341672,
        0.0326502,
        0.0318882,
        0.0304957,
        0.0301361,
        0.0299379,
        0.0291872,
        0.0285996,
        0.0284959,
        0.0280985,
        0.0276393,
        0.027366,
        0.0273638,
        0.0275586,
        0.0278409,
        0.0281378,
        0.0284837,
        0.0283744,
        0.0285688,
        0.0336678,
        0.0344333,
        0.030083,
        0.0310538,
        0.0321556,
        0.0332218,
        0.0342449,
        0.0355739,
        0.0355354,
        0.0342659,
        0.0336242,
        0.0333278,
        0.0330823,
        0.0332776,
        0.0338757,
        0.0347366,
        0.0402213,
        0.0396973,
        0.0352308,
        0.0343843,
        0.0324495,
        0.0314513,
        0.0308056,
        0.0303659,
        0.0302317,
        0.030189,
        0.0303816,
        0.0305302,
        0.0309322,
        0.0310679,
        0.0319947,
        0.0335355,
        0.0346398,
        0.0342012,
        0.0356573,
        0.0372404,
        0.0392639,
        0.0421587,
        0.0448155,
        0.0477522,
        0.0515581,
        0.0565965,
        0.0636692,
        0.074378,
        0.0860676,
        0.101364,
        0.132895,
        0.189737,
        0.215095,
        0.148494,
        0.113099,
        0.0871228,
        0.0779926,
        0.0667261,
        0.0563905,
        0.0511526,
        0.0479564,
        0.0451728,
        0.0425949,
        0.040747,
        0.0399257,
        0.0395389,
        0.0395223,
        0.0398937,
        0.0404679,
        0.0409939,
        0.0412627,
        0.0406956,
        0.039148,
        0.0369995,
        0.0349401,
        0.0333355,
        0.0323474,
        0.0314897,
        0.0304324,
        0.0293044,
        0.0289303,
        0.0287021,
        0.0283726,
        0.0281026,
        0.027976,
        0.0279812,
        0.02795,
        0.0282166,
        0.0286152,
        0.028997,
        0.029936,
        0.0318791,
        0.0331524,
        0.0342786,
        0.0361729,
        0.0382903,
        0.0398386,
        0.0397652,
        0.0391402,
        0.0367896,
        0.0364457,
        0.0334629,
        0.0308509,
        0.0294401,
        0.0286113,
        0.027981,
        0.0273091,
        0.0270998,
        0.0270192,
        0.0266958,
        0.0265557,
        0.0263746,
        0.0265207,
        0.0266428,
        0.0267873,
        0.0267455,
        0.0269078,
        0.0272019,
        0.0278427,
        0.0286602,
        0.0293389,
        0.0301298,
        0.0330034,
        0.033861,
        0.0314827,
        0.0311489,
        0.0306087,
        0.03,
        0.0295654,
        0.0295762,
        0.0300707,
        0.0303232,
        0.0332022,
        0.0332346,
        0.0306046,
        0.0300435,
        0.0291651,
        0.0282432,
        0.0273553,
        0.0269793,
        0.0268279,
        0.0271723,
        0.0273179,
        0.0288134,
        0.028598,
        0.0274095,
        0.0281318,
        0.0282496,
        0.0272346,
        0.0271731,
        0.0270373,
        0.0268566,
        0.0264681,
        0.0258427,
        0.0294711,
        0.0292397,
        0.0251646,
        0.0249691,
        0.0265184,
        0.0269537,
        0.0248736,
        0.0255387,
        0.0257433,
        0.0260776,
        0.0270294,
        0.0277299,
        0.0290953,
        0.0324497,
        0.030953,
        0.0326664,
        0.0334328,
        0.0331485,
        0.0319396,
        0.0306307,
        0.0293826,
        0.0284031,
        0.0274719,
        0.0269352,
        0.0265491,
        0.0261817,
        0.0302903,
        0.0298309,
        0.0253767,
        0.0250698,
        0.0252361,
        0.0251557,
        0.0248085,
        0.0246025,
        0.0246635,
        0.0247246,
        0.0245569,
        0.0245243,
        0.0246797,
        0.0251178,
        0.0250562,
        0.024367,
        0.0241613,
        0.0239678,
        0.0239356,
        0.0241529,
        0.0244436,
        0.0244241,
        0.0244462,
        0.0245258,
        0.0247901,
        0.0249264,
        0.0254053,
        0.028454,
        0.0277581,
        0.0253462,
        0.0250642,
        0.024477,
        0.025146,
        0.0244758,
        0.0240603,
        0.0242086,
        0.0241459,
        0.0243496,
        0.0245708,
        0.0246692,
        0.0249202,
        0.0254671,
        0.0261241,
        0.0266991,
        0.0275296,
        0.0286711,
        0.030049,
        0.0315261,
        0.0334055,
        0.0348366,
        0.0358825,
        0.0357288,
        0.0340922,
        0.0325588,
        0.031143,
        0.0299873,
        0.0294406,
        0.029017,
        0.0284214,
        0.0281659,
        0.0283095,
        0.0285546,
        0.0291853,
        0.030207,
        0.0313024,
        0.0323936,
        0.0336208,
        0.0352144,
        0.0373039,
        0.0399445,
        0.0445474,
        0.0468031,
        0.0431273,
        0.0415014,
        0.0396215,
        0.0376269,
        0.0370768,
        0.0370115,
        0.0344661,
        0.0338624,
        0.0330617,
        0.0319531,
        0.0312027,
        0.030511,
        0.0299509,
        0.0297209,
        0.0298783,
        0.0304629,
        0.0321348,
        0.0341544,
        0.0338001,
        0.0336166,
        0.0399338,
        0.0390774,
        0.0311435,
        0.0294497,
        0.0283598,
        0.027527,
        0.0268884,
        0.0263752,
        0.0259975,
        0.027823,
        0.0275131,
        0.0253112,
        0.0248922,
        0.024834,
        0.024865,
        0.0248819,
        0.0247441,
        0.024758,
        0.0250737,
        0.0249052,
        0.0243516,
        0.024501,
        0.024427,
        0.0242983,
        0.0245384,
        0.0242615,
        0.0242157,
        0.0243513,
        0.0243631,
        0.0243925,
        0.0244579,
        0.0245328,
        0.0246048,
        0.0243082,
        0.0242366,
        0.0243715,
        0.0245416,
        0.0243032,
        0.024287,
        0.0239994,
        0.0243443,
        0.0245895,
        0.0239708,
        0.0237059,
        0.0236939,
        0.0236687,
        0.0238412,
        0.0238553,
        0.0239107,
        0.0245066,
        0.0257583,
        0.0262646,
        0.0256176,
        0.0239491,
        0.0239597,
        0.0238506,
        0.0237618,
        0.0238816,
        0.028138,
        0.0276945,
        0.0234883,
        0.0236505,
        0.0237169,
        0.0235913,
        0.0236576,
        0.0237363,
        0.0239385,
        0.0239294,
        0.0239267,
        0.0247196,
        0.0245526,
        0.0242319,
        0.0243258,
        0.0243137,
        0.0244981,
        0.0247768,
        0.024861,
        0.0249812,
        0.0251635,
        0.0252053,
        0.0284676,
        0.0288403,
        0.0263216,
        0.0265516,
        0.0269883,
        0.0274041,
        0.0279591,
        0.0286613,
        0.0300198,
        0.031478,
        0.0322435,
        0.0338195,
        0.0353295,
        0.0361853,
        0.0368707,
        0.0372717,
        0.0372846,
        0.0372307,
        0.0371031,
        0.0383973,
        0.0403323,
        0.0424059,
        0.0440152,
        0.0436987,
        0.041649,
        0.0386468,
        0.0365578,
        0.0347537,
        0.0340149,
        0.0332496,
        0.0330961,
        0.033033,
        0.033625,
        0.033833,
        0.0322957,
        0.0323245,
        0.0309676,
        0.0299404,
        0.0291936,
        0.0284295,
        0.0278117,
        0.0273748,
        0.0270483,
        0.0269184,
        0.0267875,
        0.0283993,
        0.0288069,
        0.0281771,
        0.0281059,
        0.026497,
        0.026556,
        0.0264329,
        0.0263188,
        0.0312773,
        0.0386326,
        0.0306807,
        0.0266928,
        0.0268376,
        0.0269205,
        0.027305,
        0.0281601,
        0.028135,
        0.0279068,
        0.0279168,
        0.0283881,
        0.0289199,
        0.029184,
        0.0295054,
        0.032234,
        0.0341811,
        0.0306184,
        0.0312951,
        0.0319084,
        0.0324798,
        0.0330694,
        0.0339338,
        0.0348568,
        0.037398,
        0.0398737,
        0.0414291,
        0.0409135,
        0.0431213,
        0.0465063,
        0.0537504,
        0.0570988,
        0.0637181,
        0.0733059,
        0.0884411,
        0.111784,
        0.149865,
        0.212635,
        0.20275,
        0.146039,
        0.122961,
        0.0946744,
        0.0739008,
        0.0646746,
        0.0573873,
        0.0519704,
        0.0483936,
        0.0451919,
        0.0465452,
        0.0440355,
        0.0390728,
        0.037455,
        0.0381402,
        0.0364033,
        0.0356537,
        0.0348278,
        0.0343751,
        0.0344247,
        0.0349084,
        0.0350992,
        0.0355958,
        0.0370708,
        0.0388849,
        0.0400206,
        0.0410392,
        0.0405201,
        0.0386559,
        0.0370988,
        0.035565,
        0.0342249,
        0.0329673,
        0.0326246,
        0.0324197,
        0.0316938,
        0.0315135,
        0.0319051,
        0.0327311,
        0.0322696,
        0.0321118,
        0.0321946,
        0.0324337,
        0.032667,
        0.0329303,
        0.0336372,
        0.0344242,
        0.0351564,
        0.0363882,
        0.0373092,
        0.0375188,
        0.0372021,
        0.0360728,
        0.0344442,
        0.0330025,
        0.0319718,
        0.031112,
        0.0302334,
        0.0300744,
        0.0300216,
        0.0323541,
        0.032132,
        0.0290093,
        0.028281,
        0.027545,
        0.0269891,
        0.0264542,
        0.0270673,
        0.0272055,
        0.0260633,
        0.0259145,
        0.0257543,
        0.0256079,
        0.0252592,
        0.0251401,
        0.0251041,
        0.0249945,
        0.0250286,
        0.024947,
        0.0250052,
        0.0269914,
        0.0261185,
        0.0248845,
        0.0249544,
        0.0249467,
        0.0248626,
        0.0250563,
        0.0251096,
        0.0247284,
        0.0248723,
        0.0248621,
        0.0249766,
        0.0250308,
        0.0249555,
        0.0298948,
        0.0276751,
        0.0248319,
        0.0251062,
        0.0250998,
        0.0265411,
        0.0265279,
        0.0250476,
        0.0253211,
        0.0251666,
        0.0250172,
        0.0250785,
        0.0265157,
        0.0255858,
        0.0247603,
        0.025231,
        0.0253083,
        0.024447,
        0.0243135,
        0.0241133,
        0.0242129,
        0.024332,
        0.0244274,
        0.0242072,
        0.0241334,
        0.0242703,
        0.027933,
        0.0280671,
        0.0249644,
        0.0251118,
        0.0256085,
        0.0258913,
        0.0263881,
        0.0271212,
        0.0279317,
        0.0292344,
        0.0307935,
        0.0324055,
        0.0334074,
        0.0338403,
        0.0329066,
        0.0316108,
        0.030091,
        0.0288195,
        0.0282979,
        0.0270883,
        0.0265215,
        0.0263435,
        0.0260717,
        0.0256475,
        0.0257987,
        0.0260748,
        0.025935,
        0.0256841,
        0.0255665,
        0.0256906,
        0.0255419,
        0.0254295,
        0.0256901,
        0.0257998,
        0.0258309,
        0.0258854,
        0.0261259,
        0.0289283,
        0.0287645,
        0.0265328,
        0.0267696,
        0.027191,
        0.0271495,
        0.0269495,
        0.0269073,
        0.0268515,
        0.0266075,
        0.029539,
        0.0290276,
        0.0263486,
        0.0263995,
        0.0265071,
        0.026335,
        0.0265158,
        0.0268032,
        0.0274429,
        0.02785,
        0.0281361,
        0.029283,
        0.0296709,
        0.0286352,
        0.0284991,
        0.0290832,
        0.029571,
        0.0289123,
        0.0291822,
        0.0296808,
        0.0306416,
        0.03161,
        0.0325647,
        0.0332229,
        0.0337863,
        0.0334564,
        0.0323959,
        0.0314588,
        0.0306407,
        0.0298261,
        0.0289386,
        0.0284301,
        0.0279586,
        0.0271814,
        0.0273703,
        0.0273382,
        0.0273571,
        0.0272457,
        0.0278112,
        0.0273447,
        0.0273606,
        0.0275777,
        0.0278925,
        0.028062,
        0.0278957,
        0.0277707,
        0.027739,
        0.0278273,
        0.0284273,
        0.0285966,
        0.0284384,
        0.0288786,
        0.0288034,
        0.0286265,
        0.0308928,
        0.030372,
        0.0292638,
        0.0294242,
        0.0300283,
        0.030387,
        0.0312965,
        0.0322364,
        0.0329481,
        0.0341884,
        0.0376333,
        0.0417074,
        0.0389078,
        0.0412302,
        0.0454017,
        0.0513121,
        0.0595459,
        0.0720468,
        0.0890044,
        0.114986,
        0.149001,
        0.189737,
        0.217885,
        0.212834,
        0.183008,
        0.141771,
        0.109204,
        0.0891851,
        0.0726323,
        0.0605738,
        0.0557312,
        0.0480432,
        0.0424521,
        0.0395021,
        0.0372714,
        0.0353892,
        0.0342148,
        0.0329573,
        0.0322173,
        0.0315352,
        0.031158,
        0.0308517,
        0.0304796,
        0.0299449,
        0.0300475,
        0.0300118,
        0.0295267,
        0.0295557,
        0.0304532,
        0.0296512,
        0.0293178,
        0.0290187,
        0.0289122,
        0.0288932,
        0.0287468,
        0.0328086,
        0.0328861,
        0.0285945,
        0.0285761,
        0.0286468,
        0.0287696,
        0.0289954,
        0.0294524,
        0.0293363,
        0.0297083,
        0.0296084,
        0.0291779,
        0.0291757,
        0.0290832,
        0.0290642,
        0.0287038,
        0.0289439,
        0.0291923,
        0.0297425,
        0.0301926,
        0.0308073,
        0.031545,
        0.0328017,
        0.0343639,
        0.0369121,
        0.0396969,
        0.0455267,
        0.0515573,
        0.0562965,
        0.0621236,
        0.0670888,
        0.0685634,
        0.0654304,
        0.059776,
        0.0542189,
        0.0491253,
        0.0444479,
        0.0413473,
        0.0387511,
        0.0366359,
        0.0351146,
        0.0343698,
        0.0339576,
        0.0326177,
        0.0322144,
        0.0324537,
        0.0324175,
        0.0326249,
        0.0347011,
        0.0350093,
        0.0326067,
        0.0328589,
        0.0331322,
        0.032882,
        0.033028,
        0.0332856,
        0.0353001,
        0.0392528,
        0.0362759,
        0.0341406,
        0.0337154,
        0.0331638,
        0.0328041,
        0.0326648,
        0.036255,
        0.0357339,
        0.0323622,
        0.0329122,
        0.0325716,
        0.0329871,
        0.0341533,
        0.035561,
        0.037532,
        0.0387621,
        0.039665,
        0.0401131,
        0.0431804,
        0.041485,
        0.0359908,
        0.033653,
        0.0322622,
        0.0313985,
        0.0305635,
        0.0301947,
        0.0296743,
        0.0294202,
        0.0293672,
        0.0290073,
        0.0288906,
        0.029139,
        0.0292327,
        0.0291881,
        0.0293268,
        0.0297318,
        0.0292962,
        0.0296928,
        0.0297797,
        0.0302083,
        0.0305833,
        0.0307074,
        0.0304379,
        0.0310136,
        0.0313546,
        0.031334,
        0.0317315,
        0.0323436,
        0.0326882,
        0.0332399,
        0.0333017,
        0.033687,
        0.0343312,
        0.0350935,
        0.0359094,
        0.0365864,
        0.0373277,
        0.0382572,
        0.0442322,
        0.0456918,
        0.0431688,
        0.0441179,
        0.0451198,
        0.0466965,
        0.048838,
        0.0518709,
        0.0555513,
        0.0606529,
        0.0672144,
        0.0740424,
        0.0977434,
        0.109853,
        0.120155,
        0.152861,
        0.210498,
        0.184101,
        0.146323,
        0.121326,
        0.105317,
        0.0954346,
        0.0899315,
        0.0852662,
        0.0824192,
        0.0824332,
        0.08325,
        0.087406,
        0.0959248,
        0.111797,
        0.125989,
        0.137234,
        0.16774,
        0.233428,
        0.223427,
        0.163939,
        0.113879,
        0.0966825,
        0.0857892,
        0.0787068,
        0.0729902,
        0.0692335,
        0.0678995,
        0.0662826,
        0.0662306,
        0.0658709,
        0.0639011,
        0.0601657,
        0.0554082,
        0.0507534,
        0.0483288,
        0.0459186,
        0.0442134,
        0.0423473,
        0.0411377,
        0.040333,
        0.0396566,
        0.0390195,
        0.0388658,
        0.0393516,
        0.0390636,
        0.0385106,
        0.0381417,
        0.0385286,
        0.0372211,
        0.0366614,
        0.0357896,
        0.0347559,
        0.0338388,
        0.0334813,
        0.0325939,
        0.032211,
        0.0321203,
        0.0314339,
        0.0311251,
        0.0314291,
        0.0311292,
        0.0306437,
        0.03047,
        0.0338733,
        0.0340308,
        0.0300204,
        0.0301005,
        0.0303817,
        0.0305019,
        0.03024,
        0.030374,
        0.0307368,
        0.0306955,
        0.0309434,
        0.0310454,
        0.0309959,
        0.0308372,
        0.0310655,
        0.0305052,
        0.0304629,
        0.0304353,
        0.0302224,
        0.0304767,
        0.0305602,
        0.0307183,
        0.0307599,
        0.0310727,
        0.03129,
        0.0312587,
        0.0310173,
        0.0309822,
        0.031111,
        0.0315544,
        0.0316922,
        0.0323031,
        0.0315472,
        0.0313175,
        0.0314609,
        0.0313891,
        0.0312042,
        0.0313379,
        0.0314893,
        0.0313743,
        0.0316549,
        0.0312228,
        0.031576,
        0.0316214,
        0.0313462,
        0.030948,
        0.0307721,
        0.0311167,
        0.0307084,
        0.03123,
        0.0312401,
        0.0310736,
        0.0312355,
        0.0312677,
        0.0313959,
        0.0317701,
        0.032259,
        0.0338096,
        0.0345341,
        0.0343795,
        0.0350479,
        0.035941,
        0.0372347,
        0.0387448,
        0.04028,
        0.0448624,
        0.0468785,
        0.0453345,
        0.0457044,
        0.0459457,
        0.0453893,
        0.0459845,
        0.0426566,
        0.040512,
        0.0396002,
        0.0394666,
        0.0396632,
        0.0403363,
        0.0416684,
        0.04308,
        0.0441507,
        0.044092,
        0.0429246,
        0.0420326,
        0.0404269,
        0.0380412,
        0.0370608,
        0.036187,
        0.0357735,
        0.0355049,
        0.0357444,
        0.0349882,
        0.0350271,
        0.0341591,
        0.034323,
        0.0339203,
        0.0336298,
        0.0331932,
        0.0331897,
        0.0374082,
        0.0378057,
        0.0334503,
        0.0337485,
        0.0337698,
        0.0339167,
        0.0331584,
        0.0329138,
        0.0323271,
        0.032204,
        0.0320818,
        0.0377655,
        0.0358665,
        0.0313139,
        0.0315513,
        0.0314096,
        0.0314868,
        0.0310397,
        0.0306742,
        0.0306704,
        0.0304987,
        0.030565,
        0.0305195,
        0.0306848,
        0.0309463,
        0.0309872,
        0.0312876,
        0.0316077,
        0.0321576,
        0.0335332,
        0.0346521,
        0.0329989,
        0.0334768,
        0.0336051,
        0.033569,
        0.0336433,
        0.0332824,
        0.0329962,
        0.0325779,
        0.0328104,
        0.032282,
        0.0322118,
        0.0327959,
        0.0326721,
        0.0330508,
        0.0329678,
        0.0344066,
        0.0354543,
        0.0339684,
        0.0347093,
        0.0351905,
        0.0355143,
        0.036242,
        0.0372234,
        0.0371853,
        0.0359857,
        0.0354637,
        0.0349944,
        0.0347585,
        0.0344763,
        0.0341254,
        0.0338717,
        0.0335409,
        0.0333259,
        0.0330462,
        0.0328959,
        0.033006,
        0.0332172,
        0.0329208,
        0.032892,
        0.0328222,
        0.0326669,
        0.032753,
        0.0329843,
        0.033181,
        0.033195,
        0.0324499,
        0.0319441,
        0.0316924,
        0.0315529,
        0.0314966,
        0.0316397,
        0.0350285,
        0.0331237,
        0.0313468,
        0.0311619,
        0.0327145,
        0.0343773,
        0.0357821,
        0.0328412,
        0.0329839,
        0.0338753,
        0.0348816,
        0.0357656,
        0.03757,
        0.0394297,
        0.0414455,
        0.0418852,
        0.0418051,
        0.0407558,
        0.0390855,
        0.0371797,
        0.0413074,
        0.040494,
        0.0346442,
        0.0386016,
        0.0355706,
        0.0341487,
        0.0339296,
        0.0347903,
        0.0354536,
        0.0338192,
        0.0331636,
        0.0333346,
        0.0333592,
        0.0334404,
        0.0332331,
        0.0336601,
        0.0341515,
        0.0348148,
        0.0340211,
        0.033558,
        0.0341145,
        0.0342886,
        0.0338315,
        0.0336886,
        0.0342029,
        0.0342086,
        0.0350988,
        0.0356908,
        0.0350634,
        0.035153,
        0.0349539,
        0.0346274,
        0.0346712,
        0.0342976,
        0.0339074,
        0.0338919,
        0.0339031,
        0.0340633,
        0.0339432,
        0.034136,
        0.0342652,
        0.0344048,
        0.0357782,
        0.0358543,
        0.0341817,
        0.0340896,
        0.0341334,
        0.0335953,
        0.0354147,
        0.0348692,
        0.0328521,
        0.0326953,
        0.0325887,
        0.0333693,
        0.0330146,
        0.0323799,
        0.0325203,
        0.032489,
        0.032366,
        0.0323923,
        0.0325518,
        0.0327074,
        0.0328434,
        0.0324527,
        0.0327466,
        0.0328242,
        0.0332797,
        0.0335307,
        0.0343409,
        0.034528,
        0.0339702,
        0.0338307,
        0.0339917,
        0.034295,
        0.0343006,
        0.034452,
        0.0370761,
        0.0375013,
        0.03536,
        0.0359379,
        0.036445,
        0.0367621,
        0.0368692,
        0.0367935,
        0.0367054,
        0.0367642,
        0.0400397,
        0.0390304,
        0.0355501,
        0.0359964,
        0.0369271,
        0.0355803,
        0.0354493,
        0.035123,
        0.0360505,
        0.0368078,
        0.0356285,
        0.0359045,
        0.0361683,
        0.0359821,
        0.0360987,
        0.0365419,
        0.0372239,
        0.0373247,
        0.03784,
        0.0381983,
        0.0377678,
        0.0378622,
        0.039087,
        0.0405024,
        0.0428464,
        0.0444783,
        0.0461185,
        0.047455,
        0.0473157,
        0.0451251,
        0.0419818,
        0.0406149,
        0.0428696,
        0.042701,
        0.0387787,
        0.0387845,
        0.0388308,
        0.0390719,
        0.0393603,
        0.0395508,
        0.0405445,
        0.040662,
        0.0400631,
        0.0399879,
        0.0405473,
        0.04087,
        0.0413199,
        0.0426679,
        0.0467694,
        0.0454012,
        0.0457717,
        0.0468191,
        0.0482199,
        0.0496969,
        0.0515098,
        0.0568792,
        0.0593211,
        0.0598681,
        0.0744919,
        0.0723152,
        0.0764818,
        0.0849525,
        0.0986208,
        0.117224,
        0.139237,
        0.180653,
        0.220686,
        0.163508,
        0.148975,
        0.119964,
        0.0954201,
        0.0843937,
        0.0769566,
        0.0736217,
        0.0720795,
        0.0641951,
        0.0617349,
        0.0588524,
        0.0570576,
        0.0556292,
        0.0535489,
        0.0521211,
        0.0511499,
        0.0507775,
        0.0504387,
        0.0495094,
        0.0488027,
        0.0478499,
        0.0466213,
        0.0464191,
        0.0454451,
        0.043654,
        0.0436891,
        0.0436351,
        0.0426611,
        0.042241,
        0.0421582,
        0.0411089,
        0.0420753,
        0.0422903,
        0.0416729,
        0.0404293,
        0.0405815,
        0.039902,
        0.0414102,
        0.0404057,
        0.0401606,
        0.0405654,
        0.0403846,
        0.0402237,
        0.0403392,
        0.0400441,
        0.040076,
        0.0400036,
        0.0405421,
        0.0403541,
        0.040253,
        0.0399565,
        0.0399673,
        0.0401364,
        0.0399976,
        0.0399391,
        0.0403218,
        0.0403065,
        0.0407322,
        0.0406467,
        0.0408841,
        0.042228,
        0.0426296,
        0.0432971,
        0.0446829,
        0.0461629,
        0.0495337,
        0.0505478,
        0.0514987,
        0.051692,
        0.050498,
        0.0486894,
        0.0484003,
        0.0463359,
        0.0439064,
        0.0429049,
        0.0415413,
        0.0411409,
        0.0408783,
        0.0406207,
        0.0399003,
        0.0394872,
        0.0394723,
        0.0392128,
        0.0383841,
        0.0386853,
        0.0384633,
        0.0382276,
        0.0381452,
        0.0385235,
        0.0382668,
        0.0389063,
        0.0388774,
        0.0385713,
        0.0395109,
        0.0412035,
        0.0410995,
        0.0411585,
        0.0391181,
        0.0387808,
        0.0386812,
        0.0390755,
        0.0421804,
        0.0396998,
        0.0388332,
        0.0389786,
        0.0392272,
        0.0393537,
        0.0398043,
        0.0399037,
        0.0399769,
        0.040249,
        0.0402986,
        0.0403731,
        0.0401303,
        0.0427437,
        0.0448239,
        0.041029,
        0.0421976,
        0.0414514,
        0.0406763,
        null,
        0.0368482,
        0.0318177,
        0.0321376,
        0.0324252,
        0.0324965,
        0.0327022,
        0.0331549,
        0.0335266,
        0.0336572,
        0.0366084,
        0.0377164,
        0.0367749,
        0.0382783,
        0.0393953,
        0.039653,
        0.0394204,
        0.0385845,
        0.0372562,
        0.0360629,
        0.0350188,
        0.0341564,
        0.0333947,
        0.0327748,
        0.0323067,
        0.0320698,
        0.0318384,
        0.0315654,
        0.0312767,
        0.031058,
        0.0308475,
        0.030638,
        0.0307304,
        0.0306644,
        0.030534,
        0.0304823,
        0.0305277,
        0.0304542,
        0.0305854,
        0.030839,
        0.0307712,
        0.0306033,
        0.0306099,
        0.0306453,
        0.0304807,
        0.0301757,
        0.0301103,
        0.0326759,
        0.0323746,
        0.029805,
        0.0298133,
        0.0296914,
        0.0299833,
        0.0302786,
        0.0303554,
        0.0306177,
        0.0308535,
        0.0305882,
        0.0305819,
        0.0307295,
        0.0306046,
        0.0304976,
        0.030838,
        0.0311516,
        0.031187,
        0.0312616,
        0.0313039,
        0.0312953,
        0.0312772,
        0.0312206,
        0.031277,
        0.0315868,
        0.0320344,
        0.0323572,
        0.0325377,
        0.0324774,
        0.0325572,
        0.0326457,
        0.0326415,
        0.032798,
        0.0328205,
        0.03266,
        0.0326502,
        0.0330056,
        0.0332673,
        0.0336318,
        0.0337738,
        0.0370892,
        0.0364109,
        0.0340958,
        0.0338231,
        0.0337595,
        0.0334567,
        0.033204,
        0.033189,
        0.0330464,
        0.0328519,
        0.0326193,
        0.0325408,
        0.0323928,
        0.0323893,
        0.0326212,
        0.0327987,
        0.033348,
        0.0337786,
        0.0341605,
        0.0346595,
        0.0351011,
        0.0359341,
        0.0370377,
        0.0396305,
        0.0409071,
        0.0409077,
        0.0429504,
        0.0452218,
        0.0477675,
        0.0516751,
        0.0568494,
        0.0619239,
        0.0669395,
        0.075877,
        0.0783502,
        0.075896,
        0.0794769,
        0.0852217,
        0.0962602,
        0.116917,
        0.150504,
        0.201513,
        0.210456,
        0.142698,
        0.102739,
        0.0847917,
        0.0725627,
        0.0621734,
        0.0553864,
        0.05156,
        0.047837,
        0.0445967,
        0.0424268,
        0.0402183,
        0.0386138,
        0.0374142,
        0.036296,
        0.0354611,
        0.0347592,
        0.0341052,
        0.0335494,
        0.0330795,
        0.0331388,
        0.0330872,
        0.0324509,
        0.0320433,
        0.0315979,
        0.0313853,
        0.0309823,
        0.0305856,
        0.0302536,
        0.0300944,
        0.0298753,
        0.0295428,
        0.029501,
        0.0295052,
        0.029222,
        0.0289522,
        0.02898,
        0.0288967,
        0.0289368,
        0.0292408,
        0.0292526,
        0.02914,
        0.0290252,
        0.0290261,
        0.0291004,
        0.0289711,
        0.0289072,
        0.0291119,
        0.0313177,
        0.0307325,
        0.0293755,
        0.0293094,
        0.0291144,
        0.0293718,
        0.0292554,
        0.0289305,
        0.028812,
        0.0285831,
        0.0284963,
        0.0285309,
        0.0284361,
        0.0283619,
        0.0283329,
        0.0282903,
        0.0281026,
        0.0280585,
        0.0297547,
        0.0297255,
        0.0312606,
        0.031402,
        0.0281947,
        0.0284365,
        0.0292774,
        0.0293759,
        0.0284281,
        0.0284317,
        0.0303283,
        0.0297813,
        0.0281376,
        0.0284233,
        0.0283785,
        0.0284878,
        0.0286155,
        0.0291621,
        0.0298256,
        0.0308021,
        0.0318597,
        0.0329197,
        0.0336736,
        0.0334021,
        0.0328748,
        0.0320734,
        0.0310218,
        0.0303569,
        0.0350243,
        0.0346365,
        0.0293253,
        0.0290278,
        0.0287662,
        0.0285603,
        0.028256,
        0.0282687,
        0.0282683,
        0.0282344,
        0.0283452,
        0.0283055,
        0.0280368,
        0.0280629,
        0.0281283,
        0.0277886,
        0.0277803,
        0.0290358,
        0.0294054,
        0.0282283,
        0.0283983,
        0.0286408,
        0.0292252,
        0.0292159,
        0.0286248,
        0.0287598,
        0.0284452,
        0.0280264,
        0.0277039,
        0.0275898,
        0.0275525,
        0.0272964,
        0.0272938,
        0.0273531,
        0.0272875,
        0.0270924,
        0.027061,
        0.0271893,
        0.0270697,
        0.0270943,
        0.0272669,
        0.0272001,
        0.0272465,
        0.0273105,
        0.0271439,
        0.0273225,
        0.030761,
        0.0305935,
        0.027515,
        0.0274338,
        0.0273247,
        0.027426,
        0.0274276,
        0.0283053,
        0.0282773,
        0.0273775,
        0.0272728,
        0.0274457,
        0.0276397,
        0.0277486,
        0.0280287,
        0.0281568,
        0.0283912,
        0.028432,
        0.0281664,
        0.0280266,
        0.0281516,
        0.0285842,
        0.0284676,
        0.0283086,
        0.0286414,
        0.0289712,
        0.0292298,
        0.0292234,
        0.029793,
        0.0299262,
        0.0296002,
        0.0296448,
        0.0294592,
        0.0364896,
        0.0365688,
        0.0294406,
        0.0296918,
        0.0296881,
        0.0297091,
        0.0298601,
        0.0299796,
        0.0304929,
        0.0307214,
        0.0308294,
        0.031379,
        0.0318563,
        0.0325533,
        0.0331994,
        0.0337021,
        0.0345028,
        0.0358389,
        0.0373425,
        0.0387795,
        0.0406656,
        0.0431639,
        0.045962,
        0.0486096,
        0.0505791,
        0.0523195,
        0.0541626,
        0.0573603,
        0.0621976,
        0.0688757,
        0.078561,
        0.0919298,
        0.112624,
        0.143506,
        0.193016,
        0.271215,
        0.228006,
        0.163626,
        0.12963,
        0.103717,
        0.0837773,
        0.0723333,
        0.0653524,
        0.0591181,
        0.054061,
        0.0504584,
        0.0465173,
        0.0439855,
        0.0423365,
        0.0405827,
        0.0386593,
        0.0373694,
        0.0362753,
        0.0354956,
        0.0345974,
        0.0337549,
        0.0328272,
        0.0334641,
        0.0331991,
        0.0313952,
        0.0308855,
        0.0305318,
        0.0302212,
        0.0300833,
        0.0298907,
        0.0295943,
        0.0297985,
        0.0295438,
        0.0293148,
        0.028932,
        0.0286581,
        0.0283901,
        0.0280875,
        0.0279962,
        0.02788,
        0.0275819,
        0.0275547,
        0.0274739,
        0.0274825,
        0.0275239,
        0.0274492,
        0.0276576,
        0.0280484,
        0.0282379,
        0.02769,
        0.0273554,
        0.0273724,
        0.0274176,
        0.0273903,
        0.027208,
        0.0272462,
        0.0272046,
        0.0270413,
        0.0271081,
        0.0270448,
        0.0269763,
        0.0269889,
        0.0271581,
        0.0270758,
        0.0270562,
        0.0271493,
        0.0271791,
        0.0270832,
        0.0271993,
        0.0271324,
        0.0271644,
        0.0271835,
        0.0270643,
        0.0271425,
        0.0272292,
        0.0272233,
        0.0271894,
        0.0270678,
        0.027162,
        0.0272316,
        0.0269553,
        0.0267252,
        0.0267731,
        0.0270553,
        0.026979,
        0.0270747,
        0.0276024,
        0.0284517,
        0.0294014,
        0.0299385,
        0.0297478,
        0.0294009,
        0.0286818,
        0.0281444,
        0.0275978,
        0.0270488,
        0.0265373,
        0.0263787,
        0.026348,
        0.0262182,
        0.0261183,
        0.0262046,
        0.0263173,
        0.0263915,
        0.0265386,
        0.0293751,
        0.0292437,
        0.0267995,
        0.0265043,
        0.0262924,
        0.0260971,
        0.0261963,
        0.0265088,
        0.0267384,
        0.0266329,
        0.0267271,
        0.0267394,
        0.0270641,
        0.0268028,
        0.0269501,
        0.0271824,
        0.0272108,
        0.0274426,
        0.0276369,
        0.027709,
        0.0280062,
        0.0281709,
        0.0285511,
        0.0288893,
        0.0290006,
        0.0295091,
        0.0297174,
        0.0303684,
        0.0309281,
        0.0311518,
        0.0316396,
        0.0327562,
        0.0338534,
        0.0346214,
        0.0356833,
        0.0371763,
        0.0386999,
        0.0403712,
        0.0414651,
        0.0489212,
        0.0485108,
        0.040869,
        0.0397515,
        0.038316,
        0.0370311,
        0.0354836,
        0.034211,
        0.0331988,
        0.0324609,
        0.0320123,
        0.0315858,
        0.0313471,
        0.0312563,
        0.0310667,
        0.0313012,
        0.0316927,
        0.0322398,
        0.0321853,
        0.0328157,
        0.0336337,
        0.0343642,
        0.0355824,
        0.0367858,
        0.0386523,
        0.0408461,
        0.0479324,
        0.0520256,
        0.0535256,
        0.0570146,
        0.0665425,
        0.0813912,
        0.103899,
        0.141711,
        0.202138,
        0.316383,
        0.198953,
        0.139922,
        0.101379,
        0.081234,
        0.0748535,
        0.0641415,
        0.0514636,
        0.0468725,
        0.0430992,
        0.0419659,
        0.0397331,
        0.0367516,
        0.0359061,
        0.0350826,
        0.035023,
        0.0350761,
        0.0349764,
        0.0347747,
        0.0340023,
        0.0330184,
        0.0319386,
        0.0304219,
        0.0292643,
        0.0287929,
        0.0281651,
        0.0277168,
        0.0273509,
        0.0271651,
        0.0268924,
        0.0264176,
        0.0268192,
        0.0267862,
        0.0268159,
        0.0266472,
        0.0265809,
        0.0264831,
        0.0263875,
        0.0263068,
        0.0266905,
        0.0267517,
        0.0263878,
        0.0264272,
        0.026456,
        0.0266113,
        0.0304963,
        0.0297713,
        0.027174,
        0.0268259,
        0.0268065,
        0.0267983,
        0.0271585,
        0.0273728,
        0.02762,
        0.0275209,
        0.0275457,
        0.0273715,
        0.0271553,
        0.0271127,
        0.026793,
        0.0265231,
        0.0264618,
        0.0263825,
        0.0260198,
        0.0259815,
        0.0256843,
        0.0255295,
        0.0258452,
        0.0258079,
        0.0257966,
        0.0258126,
        0.0263503,
        0.026657,
        0.0255113,
        0.0253026,
        0.0251737,
        0.0251779,
        0.0253141,
        0.0250925,
        0.0250601,
        0.0251904,
        0.0251822,
        0.0251803,
        0.0249693,
        0.0268611,
        0.0269314,
        0.0248825,
        0.0248185,
        0.0251333,
        0.0252617,
        0.0251921,
        0.0253311,
        0.0275386,
        0.0269802,
        0.0254765,
        0.025738,
        0.0257637,
        0.0258729,
        0.0260413,
        0.0299204,
        0.029598,
        0.0257943,
        0.0257038,
        0.025808,
        0.0258199,
        0.0258204,
        0.0258128,
        0.0299038,
        0.0302424,
        0.0283303,
        0.0289095,
        0.0263955,
        0.0265686,
        0.0267025,
        0.0268794,
        0.026811,
        0.026708,
        0.0267946,
        0.0268215,
        0.0268409,
        0.0269304,
        0.0268633,
        0.0270178,
        0.0268965,
        0.0270211,
        0.0273935,
        0.0274037,
        0.0276053,
        0.0280196,
        0.0287709,
        0.0294559,
        0.0297614,
        0.0300758,
        0.0296597,
        0.0288083,
        0.0283218,
        0.0278785,
        0.0275029,
        0.0267898,
        0.0262563,
        0.0262558,
        0.0260769,
        0.0259298,
        0.0258897,
        0.0262815,
        0.0263017,
        0.0259553,
        0.0259288,
        0.026032,
        0.0258933,
        0.0261042,
        0.0263388,
        0.0258218,
        0.0258417,
        0.0260804,
        0.0263634,
        0.0260774,
        0.0263027,
        0.0263609,
        0.0265348,
        0.0268908,
        0.0269551,
        0.0267745,
        0.0270444,
        0.0302874,
        0.0295957,
        0.0273173,
        0.0272854,
        0.0271142,
        0.0271555,
        0.0272127,
        0.0274351,
        0.0277184,
        0.0284122,
        0.0289744,
        0.0281733,
        0.0281104,
        0.0282133,
        0.028501,
        0.028882,
        0.0288282,
        0.0289001,
        0.0292674,
        0.0293912,
        0.0296667,
        0.0303716,
        0.0312027,
        0.0315833,
        0.0321118,
        0.0325624,
        0.032835,
        0.0314063,
        0.0310343,
        0.0302814,
        0.0294832,
        0.0291126,
        0.0301266,
        0.0291893,
        0.0283139,
        0.0302335,
        0.0305664,
        0.0277835,
        0.0277253,
        0.0277479,
        0.0275313,
        0.0309662,
        0.0301377,
        0.0271486,
        0.027093,
        0.0270417,
        0.0269964,
        0.0269814,
        0.0268789,
        0.0267609,
        0.0268287,
        0.0267551,
        0.0269558,
        0.0268559,
        0.0268657,
        0.0269031,
        0.0270233,
        0.0272282,
        0.0270525,
        0.0267686,
        0.0266577,
        0.026607,
        0.0267329,
        0.0273687,
        0.0274313,
        0.0266361,
        0.0267523,
        0.0269396,
        0.0272065,
        0.0274248,
        0.0274824,
        0.0295017,
        0.0298285,
        0.0278361,
        0.0280773,
        0.028335,
        0.0291421,
        0.0295782,
        0.0291842,
        0.0298185,
        0.0308772,
        0.0308933,
        0.0313836,
        0.0315441,
        0.0331855,
        0.0319239,
        0.0303906,
        0.030006,
        0.0298409,
        0.0294093,
        0.0292113,
        0.0290873,
        0.0290197,
        0.0289234,
        0.0289415,
        0.0290903,
        0.0291706,
        0.0291897,
        0.0294312,
        0.0297763,
        0.030021,
        0.030369,
        0.0307225,
        0.0314034,
        0.0324791,
        0.0337018,
        0.0350502,
        0.0372612,
        0.0393536,
        0.0414825,
        0.0441919,
        0.0454269,
        0.0456676,
        0.0448987,
        0.0429998,
        0.0418042,
        0.0401061,
        0.0381317,
        0.036833,
        0.0355891,
        0.0354782,
        0.0354672,
        0.0346136,
        0.0351583,
        0.0355752,
        0.035641,
        0.0361348,
        0.036854,
        0.0377014,
        0.0380995,
        0.0381748,
        0.0378366,
        0.0372286,
        0.0364126,
        0.0352031,
        0.0341121,
        0.0334494,
        0.0326948,
        0.031851,
        0.0316589,
        0.0311484,
        0.0306386,
        0.0304047,
        0.029961,
        0.0296967,
        0.0308823,
        0.030582,
        0.0286157,
        0.0283563,
        0.0278766,
        0.0291203,
        0.0289346,
        0.0280212,
        0.0305785,
        0.0290787,
        0.0272546,
        0.0267884,
        0.0269684,
        0.0267886,
        0.0279348,
        0.0281,
        0.0268926,
        0.0266606,
        0.0264265,
        0.0283657,
        0.0283977,
        0.0268511,
        0.0268625,
        0.0269097,
        0.0270274,
        0.0271909,
        0.0271375,
        0.0292069,
        0.0301811,
        0.0273322,
        0.027873,
        0.027588,
        0.0277039,
        0.0280135,
        0.0283958,
        0.0287096,
        0.0292126,
        0.0294361,
        0.0296754,
        0.029895,
        0.0301317,
        0.030126,
        0.0300067,
        0.0303591,
        0.0306537,
        0.0309789,
        0.0312784,
        0.0318192,
        0.0320823,
        0.0328596,
        0.033667,
        0.0346873,
        0.0354838,
        0.0367936,
        0.0380946,
        0.0392808,
        0.0402516,
        0.0410342,
        0.0421604,
        0.0435344,
        0.0454248,
        0.0496139,
        0.0522156,
        0.0540116,
        0.0587381,
        0.0662796,
        0.0763886,
        0.0910138,
        0.111083,
        0.137045,
        0.178685,
        0.240699,
        0.258563,
        0.204344,
        0.159878,
        0.118877,
        0.0970119,
        0.0823777,
        0.0712647,
        0.0630506,
        0.0565927,
        0.052423,
        0.0485804,
        0.0458312,
        0.0435211,
        0.0418713,
        0.0409981,
        0.0398256,
        0.0392073,
        0.0387713,
        0.0392303,
        0.0394247,
        0.0395356,
        0.0396638,
        0.0399466,
        0.0406529,
        0.0417626,
        0.0426447,
        0.0446298,
        0.0471899,
        0.0511239,
        0.0571774,
        0.0669313,
        0.0814271,
        0.10276,
        0.133083,
        0.161233,
        0.167228,
        0.153822,
        0.120425,
        0.102714,
        0.0809749,
        0.0622416,
        0.0539177,
        0.0486673,
        0.0439716,
        0.0404335,
        0.0379012,
        0.0359774,
        0.034752,
        0.0334571,
        0.0324773,
        0.0315279,
        0.0306672,
        0.0329294,
        0.032841,
        0.0289188,
        0.0286354,
        0.0284023,
        0.027981,
        0.0278069,
        0.0274469,
        0.0272802,
        0.0284211,
        0.0282544,
        0.0266739,
        0.0266493,
        0.0265907,
        0.0263377,
        0.0264239,
        0.0265568,
        0.0276336,
        0.0272467,
        0.0262514,
        0.0261667,
        0.0263267,
        0.0261219,
        0.0261368,
        0.0265646,
        0.0261014,
        0.0262033,
        0.0260465,
        0.0262006,
        0.0261547,
        0.0261739,
        0.0265468,
        0.0263865,
        0.0264649,
        0.0265855,
        0.0265673,
        0.0265922,
        0.0267111,
        0.0267444,
        0.0269995,
        0.0270908,
        0.0296502,
        0.0305899,
        0.0275144,
        0.0279728,
        0.0283988,
        0.0291575,
        0.0296337,
        0.0293761,
        0.0287155,
        0.0282162,
        0.0275686,
        0.0270999,
        0.0267434,
        0.0263124,
        0.0260647,
        0.0259319,
        0.0259134,
        0.0259152,
        0.0271696,
        0.0274564,
        0.0257749,
        0.0256705,
        0.0255438,
        0.0253149,
        0.0251941,
        0.0252043,
        0.0252569,
        0.0260493,
        0.0260018,
        0.0250677,
        0.0250577,
        0.0250569,
        0.0251306,
        0.0250802,
        0.0250375,
        0.0251407,
        0.0251415,
        0.0252277,
        0.0258481,
        0.0260424,
        0.0257379,
        0.0265019,
        0.0268195,
        0.0262136,
        0.0264243,
        0.0264971,
        0.0262778,
        0.0265201,
        0.0266294,
        0.0266961,
        0.0268814,
        0.026907,
        0.0271391,
        0.0275164,
        0.0274727,
        0.0273831,
        0.0276748,
        0.0278387,
        0.0279941,
        0.028166,
        0.028103,
        0.0282688,
        0.0283036,
        0.0283247,
        0.0283362,
        0.0281909,
        0.0279555,
        0.0281958,
        0.028297,
        0.0277073,
        0.0275626,
        0.0276746,
        0.0277231,
        0.0277764,
        0.0280119,
        0.0282945,
        0.0282659,
        0.0280457,
        0.0282147,
        0.0283735,
        0.0286337,
        0.0287805,
        0.0289485,
        0.028992,
        0.0293776,
        0.0295839,
        0.0296986,
        0.0301104,
        0.0326965,
        0.0332662,
        0.0318228,
        0.0337514,
        0.0344766,
        0.0343676,
        0.0353552,
        0.0388776,
        0.0402259,
        0.0402033,
        0.0415948,
        0.043678,
        0.0455057,
        0.0464879,
        0.0475715,
        0.0489839,
        0.049336,
        0.0498464,
        0.050323,
        0.0509082,
        0.0520091,
        0.054359,
        0.0574263,
        0.0614887,
        0.0648282,
        0.0704868,
        0.0790995,
        0.0891165,
        0.102995,
        0.121769,
        0.148964,
        0.195472,
        0.268764,
        0.217829,
        0.164582,
        0.131786,
        0.106897,
        0.0901892,
        0.0796355,
        0.0707,
        0.0645942,
        0.0579387,
        0.0540287,
        0.0503194,
        0.0471803,
        0.044885,
        0.0430528,
        0.0412996,
        0.0398723,
        0.038289,
        0.0367303,
        0.0360758,
        0.0353759,
        0.0348601,
        0.0339976,
        0.0333007,
        0.0326607,
        0.032754,
        0.032633,
        0.0316679,
        0.0312463,
        0.031174,
        0.0307941,
        0.03016,
        0.0303173,
        0.029895,
        0.0297874,
        0.0297057,
        0.0297703,
        0.0293895,
        0.0293657,
        0.0323284,
        0.0319308,
        0.0292588,
        0.0293996,
        0.0296672,
        0.0305101,
        0.029876,
        0.0291756,
        0.0290027,
        0.0290678,
        0.0292538,
        0.0292407,
        0.0295027,
        0.0294855,
        0.0297307,
        0.0317015,
        0.0318141,
        0.0309808,
        0.0310651,
        0.0312357,
        0.0316823,
        0.0320482,
        0.0327413,
        0.0332449,
        0.0342316,
        0.0354938,
        0.0373228,
        0.0388292,
        0.0405499,
        0.0432447,
        0.0451893,
        0.0462728,
        0.0464379,
        0.046886,
        0.0473921,
        0.0456668,
        0.043732,
        0.0417896,
        0.0399277,
        0.0422673,
        0.0392095,
        0.0353027,
        0.03426,
        0.0336249,
        0.0329079,
        0.0322642,
        0.0316604,
        0.0309457,
        0.0305238,
        0.0297969,
        0.0291368,
        0.0284461,
        0.0282413,
        0.0280039,
        0.0278232,
        0.0275915,
        0.0271142,
        0.027016,
        0.0269237,
        0.0269318,
        0.0266857,
        0.0267244,
        0.0267529,
        0.026588,
        0.0266278,
        0.0265631,
        0.0264856,
        0.0268219,
        0.0267467,
        0.0267617,
        0.0267104,
        0.0269179,
        0.02705,
        0.0273471,
        0.0276986,
        0.0279327,
        0.0282374,
        0.028422,
        0.0285163,
        0.0293903,
        0.0290731,
        0.0283727,
        0.0288717,
        0.0287174,
        0.0285101,
        0.0276687,
        0.0275001,
        0.0275462,
        0.0270099,
        0.0268175,
        0.0268755,
        0.0264453,
        0.0262949,
        0.0263396,
        0.0262879,
        0.0262448,
        0.0260302,
        0.0257885,
        0.0257637,
        0.0263731,
        0.026708,
        0.0263557,
        0.0258539,
        0.0257781,
        0.0260033,
        0.025906,
        0.0257953,
        0.0254704,
        0.0254618,
        0.0253722,
        0.0254203,
        0.0256025,
        0.0255786,
        0.0281365,
        0.0277709,
        0.0255007,
        0.0256429,
        0.0260117,
        0.0306836,
        0.0295004,
        0.0265877,
        0.0270554,
        0.027273,
        0.0273673,
        0.0281186,
        0.0279976,
        0.0272743,
        0.026893,
        0.0305092,
        0.0283551,
        0.0264729,
        0.0274458,
        0.0273701,
        0.0268485,
        0.0267666,
        0.0267982,
        0.0267951,
        0.027128,
        0.0273058,
        0.0266418,
        0.0270549,
        0.0270999,
        0.0271061,
        0.0274175,
        0.0275229,
        0.0276514,
        0.0278235,
        0.0277015,
        0.0275578,
        0.0274011,
        0.027054,
        0.0269322,
        0.0270026,
        0.0265908,
        0.0264251,
        0.0265748,
        0.0280121,
        0.0277449,
        0.0261053,
        0.0261286,
        0.0260076,
        0.0259633,
        0.0260347,
        0.0260837,
        0.0257721,
        0.0258365,
        0.0256715,
        0.0255524,
        0.0254491,
        0.0255602,
        0.0257207,
        0.0259586,
        0.025895,
        0.0255985,
        0.0256382,
        0.0256894,
        0.0261255,
        0.0296651,
        0.028195,
        0.0258451,
        0.0257343,
        0.0267186,
        0.0266229,
        0.0263673,
        0.0261435,
        0.0263821,
        0.0263787,
        0.0264084,
        0.0266362,
        0.0265061,
        0.0266428,
        0.0268456,
        0.0268184,
        0.0271655,
        0.0271741,
        0.0269507,
        0.0274855,
        0.0277616,
        0.0277115,
        0.0280651,
        0.0282626,
        0.0284915,
        0.0289099,
        0.0287397,
        0.0290899,
        0.0292309,
        0.0292643,
        0.0292615,
        0.0289732,
        0.0287446,
        0.0286043,
        0.0282451,
        0.0281952,
        0.0280504,
        0.0279987,
        0.0276993,
        0.0274169,
        0.0274786,
        0.0271977,
        0.02727,
        0.0271317,
        0.0270473,
        0.0270226,
        0.027099,
        0.0267881,
        0.0267558,
        0.0266031,
        0.026407,
        0.02639,
        0.0262788,
        0.026369,
        0.0267236,
        0.0265886,
        0.0265864,
        0.0265721,
        0.0266073,
        0.0273483,
        0.02749,
        0.0265152,
        0.0264435,
        0.0264487,
        0.0267681,
        0.0265774,
        0.0265803,
        0.0267442,
        0.0265285,
        0.0264149,
        0.0266877,
        0.0266327,
        0.0268383,
        0.0269141,
        0.0271491,
        0.0271234,
        0.027191,
        0.0276635,
        0.0276635,
        0.0275841,
        0.0277974,
        0.027733,
        0.0278872,
        0.0280465,
        0.0276571,
        0.0279064,
        0.0279193,
        0.0276773,
        0.0279556,
        0.0309063,
        0.0298046,
        0.0282291,
        0.0280295,
        0.0282499,
        0.027967,
        0.0279979,
        0.0279988,
        0.0280371,
        0.0280575,
        0.028142,
        0.028127,
        0.0281294,
        0.0279882,
        0.0281368,
        0.0285453,
        0.0293005,
        0.0283738,
        0.0283649,
        0.028376,
        0.0284058,
        0.0281452,
        0.0284525,
        0.0281529,
        0.0279438,
        0.0281924,
        0.0282309,
        0.0282233,
        0.0280678,
        0.0308047,
        0.0316547,
        0.0282074,
        0.0277359,
        0.0276896,
        0.0279847,
        0.0279158,
        0.0278447,
        0.0279126,
        0.0280325,
        0.0282543,
        0.0283483,
        0.0285506,
        0.0287008,
        0.0288288,
        0.0293824,
        0.0293496,
        0.0294703,
        0.0295919,
        0.0296199,
        0.0298572,
        0.033473,
        0.0385098,
        0.0340352,
        0.0307618,
        0.0312699,
        0.0316298,
        0.0319558,
        0.0321249,
        0.0329527,
        0.0345777,
        0.0355233,
        0.0361928,
        0.0357373,
        0.0370186,
        0.0385012,
        0.0403106,
        0.0412921,
        0.0419775,
        0.0419554,
        0.0419391,
        0.0417434,
        0.040208,
        0.0390414,
        0.0379888,
        0.0366237,
        0.0358255,
        0.0351337,
        0.034523,
        0.0337501,
        0.0329126,
        0.0322987,
        0.0320562,
        0.031747,
        0.0308282,
        0.0308985,
        0.0307883,
        0.0302913,
        0.0299838,
        0.0297239,
        0.0297001,
        0.0294545,
        0.0293078,
        0.0290113,
        0.0311493,
        0.0311228,
        0.0289666,
        0.0288159,
        0.0286753,
        0.0286782,
        0.0289457,
        0.0292253,
        0.0291029,
        0.0290431,
        0.0287766,
        0.0289024,
        0.032529,
        0.0327892,
        0.0291099,
        0.0292246,
        0.0290543,
        0.0292982,
        0.0293892,
        0.0295476,
        0.029724,
        0.0296668,
        0.0295391,
        0.0297421,
        0.0297545,
        0.029807,
        0.0302638,
        0.0304814,
        0.0357952,
        0.033727,
        0.0304646,
        0.030941,
        0.0311914,
        0.0309905,
        0.0306764,
        0.0304575,
        0.0307725,
        0.0310846,
        0.0309966,
        0.0308451,
        0.0310031,
        0.0311861,
        0.0312062,
        0.030969,
        0.0308121,
        0.0313477,
        0.0315201,
        0.0308813,
        0.0307079,
        0.0311895,
        0.030994,
        0.031277,
        0.0315351,
        0.0318535,
        0.031894,
        0.0322156,
        0.0324635,
        0.0326021,
        0.0331259,
        0.0341139,
        0.0340472,
        0.0337839,
        0.0355817,
        0.0360269,
        0.0335774,
        0.033438,
        0.0332892,
        0.0332981,
        0.0334025,
        0.0331803,
        0.032895,
        0.0324154,
        0.0320985,
        0.0323014,
        0.0320443,
        0.0318227,
        0.0311328,
        0.0314483,
        0.0312934,
        0.0313391,
        0.0314025,
        0.0314451,
        0.0318409,
        0.0321256,
        0.0318677,
        0.0321678,
        0.0323509,
        0.0320608,
        0.0319292,
        0.0317429,
        0.0321459,
        0.0323707,
        0.0323087,
        0.0326395,
        0.0327951,
        0.0339514,
        0.0334557,
        0.0333183,
        0.0334724,
        0.0334263,
        0.0336792,
        0.0341297,
        0.0341694,
        0.0342161,
        0.034305,
        0.033961,
        0.0341575,
        0.0341357,
        0.0338725,
        0.0333679,
        0.0335088,
        0.0337619,
        0.03339,
        0.032868,
        0.0325227,
        0.0327354,
        0.0322215,
        0.0322428,
        0.0323802,
        0.0326513,
        0.0347875,
        0.0347091,
        0.03215,
        0.0320444,
        0.0321616,
        0.0321934,
        0.032155,
        0.0325684,
        0.0334124,
        0.0332569,
        0.0330535,
        0.0343972,
        0.0323389,
        0.0321881,
        0.0324946,
        0.0325629,
        0.0327022,
        0.0324297,
        0.0325251,
        0.0325798,
        0.0331192,
        0.0337338,
        0.0338073,
        0.0340335,
        0.0346104,
        0.0348277,
        0.0355147,
        0.0356099,
        0.0355269,
        0.036481,
        0.0362125,
        0.0347842,
        0.0341946,
        0.0338291,
        0.0345881,
        0.0347345,
        0.0394517,
        0.0402655,
        0.0352013,
        0.0352376,
        0.0352932,
        0.0406705,
        0.041511,
        0.0368585,
        0.0367954,
        0.0363071,
        0.0360513,
        0.0361641,
        0.0359289,
        0.0356304,
        0.0357177,
        0.0353705,
        0.0407569,
        0.041242,
        0.0349559,
        0.0347706,
        0.0344216,
        0.0345181,
        0.0342649,
        0.0346218,
        0.0342808,
        0.0339245,
        0.0339546,
        0.0337662,
        0.0335857,
        0.0393297,
        0.0378022,
        0.0337564,
        0.0338898,
        0.0340934,
        0.0335125,
        0.0337343,
        0.0332454,
        0.0332063,
        0.0332279,
        0.0334739,
        0.0341518,
        0.0338251,
        0.0337631,
        0.0337729,
        0.0340133,
        0.0353334,
        0.0346106,
        0.0338564,
        0.0338856,
        0.0341387,
        0.0341277,
        0.0340616,
        0.0347218,
        0.0348214,
        0.0346476,
        0.0345519,
        0.0349964,
        0.035086,
        0.0353782,
        0.0356099,
        0.0358394,
        0.0355719,
        0.0355371,
        0.0359485,
        0.0364596,
        0.0363719,
        0.0367797,
        0.036585,
        0.0370046,
        0.0380693,
        0.0376641,
        0.036761,
        0.0368189,
        0.0372179,
        0.0371889,
        0.0380298,
        0.0376825,
        0.0377881,
        0.0378849,
        0.0383245,
        0.0390049,
        0.0388081,
        0.0391013,
        0.0390952,
        0.0461699,
        0.045321,
        0.0381931,
        0.0383439,
        0.038485,
        0.0382982,
        0.038626,
        0.0392531,
        0.0388201,
        0.0393114,
        0.0395649,
        0.0399238,
        0.039739,
        0.040081,
        0.0410374,
        0.0439348,
        0.0428215,
        0.0422094,
        0.0426708,
        0.0443407,
        0.0467331,
        0.0441921,
        0.0450982,
        0.0462263,
        0.0474176,
        0.0511306,
        0.0546374,
        0.0635057,
        0.0707354,
        0.0711225,
        0.074173,
        0.0747563,
        0.0714217,
        0.0672097,
        0.0632137,
        0.058805,
        0.0536089,
        0.0511031,
        0.0494105,
        0.0479178,
        0.04782,
        0.0471106,
        0.0470756,
        0.0474729,
        0.0477027,
        0.0478097,
        0.0475147,
        0.0479096,
        0.0488282,
        0.0496753,
        0.0498758,
        0.0519598,
        0.0590769,
        0.0589681,
        0.0560491,
        0.0573768,
        0.0592085,
        0.0617724,
        0.0649097,
        0.0671857,
        0.0705334,
        0.0757285,
        0.0836346,
        0.0917749,
        0.102305,
        0.116784,
        0.140373,
        0.176463,
        0.290978,
        0.225894,
        0.17398,
        0.149544,
        0.127025,
        0.118983,
        0.103251,
        0.0904614,
        0.0841931,
        0.0786656,
        0.073397,
        0.0715329,
        0.0693649,
        0.065365,
        0.0629808,
        0.0618929,
        0.0606163,
        0.0594801,
        0.0592101,
        0.0574267,
        0.0555725,
        0.0543038,
        0.0523789,
        0.052242,
        0.0515528,
        0.0501462,
        0.0500153,
        0.0555124,
        0.0513846,
        0.0523026,
        0.0492745,
        0.0473873,
        0.0475691,
        0.0466296,
        0.0461586,
        0.0457909,
        0.0461859,
        0.045386,
        0.0448884,
        0.0445923,
        0.043749,
        0.0435711,
        0.0436851,
        0.0431411,
        0.0425791,
        0.0422124,
        0.0422449,
        0.0418593,
        0.0417806,
        0.0418205,
        0.0409595,
        0.0412664,
        0.0408929,
        0.0411706,
        0.0409026,
        0.0405873,
        0.0417654,
        0.0438888,
        0.0405638,
        0.0399889,
        0.0399818,
        0.0406364,
        0.0393269,
        0.0393085,
        0.039733,
        0.03974,
        0.039883,
        0.0396419,
        0.0391518,
        0.0395123,
        0.0401434,
        0.0401653,
        0.0396999,
        0.0402877,
        0.0400566,
        0.0400505,
        0.04416,
        0.0440498,
        0.041186,
        0.0423016,
        0.0415659,
        0.0411811,
        0.0409042,
        0.0412135,
        0.0416492,
        0.0421046,
        0.042291,
        0.0422908,
        0.04254,
        0.0422668,
        0.0422051,
        0.0423829,
        0.0426514,
        0.043245,
        0.0439203,
        0.0437195,
        0.0432986,
        0.043308,
        0.0443616,
        0.0447196,
        0.0438374,
        0.0440231,
        0.0446055,
        0.0450417,
        0.0447699,
        0.0515649,
        0.0516811,
        0.0457844,
        0.0464986,
        0.0465472,
        0.0468593,
        0.0470087,
        0.0479609,
        0.0483749,
        0.0486947,
        0.0503776,
        0.0516313,
        0.0525842,
        0.0548557,
        0.0566319,
        0.0579889,
        0.0600948,
        0.0639982,
        0.0677867,
        0.072276,
        0.080331,
        0.0886857,
        0.0985625,
        0.11318,
        0.136769,
        0.169942,
        0.207239,
        0.223133,
        0.182079,
        0.147229,
        0.120751,
        0.106953,
        0.0960881,
        0.0856995,
        0.0782962,
        0.0734544,
        0.0695066,
        0.0663115,
        null,
        0.0451532,
        0.0454233,
        0.0458466,
        0.0460475,
        0.0463507,
        0.0470196,
        0.0478924,
        0.0481007,
        0.0489956,
        0.0501719,
        0.050778,
        0.0517979,
        0.0526251,
        0.0540829,
        0.0564084,
        0.0576877,
        0.0593169,
        0.0611522,
        0.0633067,
        0.0658577,
        0.0702234,
        0.0750072,
        0.0807543,
        0.0869159,
        0.0932935,
        0.104106,
        0.118937,
        0.140254,
        0.164384,
        0.199693,
        0.231866,
        0.185586,
        0.162214,
        0.140033,
        0.118548,
        0.103567,
        0.0927019,
        0.0842869,
        0.0782301,
        0.073226,
        0.068085,
        0.0640621,
        0.0614618,
        0.0592157,
        0.0571131,
        0.0555476,
        0.0537223,
        0.0519692,
        0.0511195,
        0.0507153,
        0.0495952,
        0.048107,
        0.0473304,
        0.0471102,
        0.0510233,
        0.050055,
        0.0449988,
        0.0453917,
        0.0450447,
        0.04425,
        0.0440203,
        0.0437989,
        0.0439932,
        0.044276,
        0.0443921,
        0.0446133,
        0.0449725,
        0.0455858,
        0.0506581,
        0.0511498,
        0.0493481,
        0.0509671,
        0.0534532,
        0.0561283,
        0.0599593,
        0.0661745,
        0.0754699,
        0.0896767,
        0.110046,
        0.143096,
        0.201814,
        0.300391,
        0.243144,
        0.170737,
        0.127339,
        0.100518,
        0.0818007,
        0.0700342,
        0.0627737,
        0.0568157,
        0.0513054,
        0.048157,
        0.0463389,
        0.0440902,
        0.0422207,
        0.0409814,
        0.0399219,
        0.0391864,
        0.0383278,
        0.0373469,
        0.036711,
        0.0361732,
        0.0357761,
        0.0352132,
        0.0349421,
        0.0349513,
        0.034731,
        0.0344254,
        0.0339317,
        0.0335121,
        0.033493,
        0.0332455,
        0.032924,
        0.0326611,
        0.0324565,
        0.0323857,
        0.0322761,
        0.0320447,
        0.0320619,
        0.0319505,
        0.0315034,
        0.0311425,
        0.0311107,
        0.0306938,
        0.0306109,
        0.0306717,
        0.0304083,
        0.0303371,
        0.0303101,
        0.0301037,
        0.0298829,
        0.0296288,
        0.0295274,
        0.02941,
        0.0293284,
        0.0291949,
        0.0291779,
        0.0290813,
        0.0292112,
        0.0292394,
        0.0290778,
        0.0292304,
        0.0292717,
        0.0291386,
        0.0289179,
        0.0290053,
        0.0291786,
        0.0291907,
        0.0294271,
        0.029315,
        0.0292586,
        0.0293699,
        0.0294196,
        0.0293158,
        0.029377,
        0.0296682,
        0.0298289,
        0.0297698,
        0.0299102,
        0.0298609,
        0.029726,
        0.0321361,
        0.0322039,
        0.0295825,
        0.0296991,
        0.0298174,
        0.029566,
        0.0306918,
        0.0376922,
        0.0354208,
        0.0293165,
        0.0290544,
        0.0310514,
        0.0309347,
        0.0288175,
        0.0289937,
        0.0290641,
        0.0287298,
        0.0287748,
        0.0288655,
        0.0289935,
        0.0290529,
        0.0291997,
        0.0291008,
        0.0289063,
        0.028794,
        0.0286906,
        0.0285946,
        0.0284988,
        0.0285816,
        0.0286888,
        0.0289084,
        0.0289854,
        0.0291322,
        0.0296047,
        0.02976,
        0.0298872,
        0.0300662,
        0.029892,
        0.0296001,
        0.0301866,
        0.0298818,
        0.0287489,
        0.0291175,
        0.0292578,
        0.0293886,
        0.0295916,
        0.030198,
        0.0308894,
        0.0314281,
        0.0361696,
        0.036241,
        0.0320052,
        0.0325491,
        0.03125,
        0.0343661,
        0.0321099,
        0.0290479,
        0.0286376,
        0.0283376,
        0.0281096,
        0.0278871,
        0.0278876,
        0.0279942,
        0.0281597,
        0.0278758,
        0.027765,
        0.0279005,
        0.0278211,
        0.0277562,
        0.0277987,
        0.0278477,
        0.0276185,
        0.0275145,
        0.0274669,
        0.027258,
        0.0272073,
        0.0275066,
        0.0309467,
        0.0304254,
        0.0272041,
        0.027115,
        0.0270022,
        0.0269,
        0.026907,
        0.0269134,
        0.0267983,
        0.0271116,
        0.0273338,
        0.0272991,
        0.027304,
        0.0272606,
        0.0270285,
        0.0266583,
        0.0264967,
        0.0264335,
        0.026394,
        0.0265279,
        0.026723,
        0.026703,
        0.0269818,
        0.0270682,
        0.0270277,
        0.0313812,
        0.0315713,
        0.0274357,
        0.0280647,
        0.0280464,
        0.0277769,
        0.0274738,
        0.0271048,
        0.0271772,
        0.0272519,
        0.0271498,
        0.0271153,
        0.0272343,
        0.0273142,
        0.027264,
        0.0272432,
        0.0274101,
        0.0274324,
        0.0275989,
        0.0274273,
        0.0273096,
        0.0277736,
        0.027949,
        0.0272677,
        0.0269241,
        0.0267791,
        0.0268601,
        0.0266717,
        0.0275102,
        0.0278355,
        0.0289909,
        0.0295979,
        0.0282004,
        0.0277688,
        0.0273599,
        0.0270191,
        0.0269088,
        0.0268307,
        0.0266357,
        0.0282049,
        0.0271735,
        0.026076,
        0.0263005,
        0.0262856,
        0.0262643,
        0.0262914,
        0.026145,
        0.0260145,
        0.0259332,
        0.0259585,
        0.026076,
        0.0264304,
        0.0264234,
        0.0262297,
        0.026058,
        0.0260834,
        0.0262219,
        0.0260738,
        0.0260527,
        0.0261068,
        0.0259826,
        0.0261476,
        0.0264434,
        0.0264524,
        0.0268191,
        0.0271091,
        0.0275307,
        0.0280454,
        0.0285559,
        0.0287809,
        0.029018,
        0.0288787,
        0.0285387,
        0.0285865,
        0.0274044,
        0.026837,
        0.0265774,
        0.0266795,
        0.0304061,
        0.0302766,
        0.0265096,
        0.0265581,
        0.029862,
        0.0297499,
        0.02673,
        0.027309,
        0.0278617,
        0.0281887,
        0.0279096,
        0.0276742,
        0.0270356,
        0.0266616,
        0.0272565,
        0.0273901,
        0.0268645,
        0.0268157,
        0.0263767,
        0.0266347,
        0.0267257,
        0.026586,
        0.0270202,
        0.0287971,
        0.0286643,
        0.0275596,
        0.0271881,
        0.0267358,
        0.0261806,
        0.0262682,
        0.0264891,
        0.0260013,
        0.0261923,
        0.0261276,
        0.0262742,
        0.0262109,
        0.0263731,
        0.0264471,
        0.0267158,
        0.0269853,
        0.026691,
        0.0282225,
        0.0284151,
        0.0267581,
        0.0269947,
        0.0272773,
        0.0281659,
        0.0273414,
        0.0267229,
        0.026333,
        0.0260289,
        0.0291661,
        0.0284533,
        0.0261433,
        0.0261792,
        0.0263318,
        0.0265789,
        0.026675,
        0.026537,
        0.0264017,
        0.026084,
        0.0258489,
        0.0259552,
        0.0259674,
        0.0264271,
        0.0272641,
        0.0282622,
        0.0332079,
        0.0333428,
        0.0285813,
        0.0277441,
        0.0268451,
        0.0264451,
        0.0269492,
        0.0276967,
        0.0283551,
        0.0284425,
        0.0277627,
        0.0269066,
        0.0264213,
        0.0266915,
        0.0272159,
        0.0274609,
        0.0276713,
        0.0273766,
        0.0269465,
        0.0268173,
        0.030261,
        0.0301673,
        0.0268687,
        0.026395,
        0.0261787,
        0.0261113,
        0.0262822,
        0.0264578,
        0.0271497,
        0.0274461,
        0.0272357,
        0.0269976,
        0.0273765,
        0.0269465,
        0.0266693,
        0.0269322,
        0.0272824,
        0.0274367,
        0.0275877,
        0.0273718,
        0.027302,
        0.0274756,
        0.0276215,
        0.0274353,
        0.0273112,
        0.0284818,
        0.0279392,
        0.0270439,
        0.0275281,
        0.0278546,
        0.0285212,
        0.0295265,
        0.0301924,
        0.0301918,
        0.0293155,
        0.0285957,
        0.0283759,
        0.0283864,
        0.0289962,
        0.0297682,
        0.0301905,
        0.0301439,
        0.029635,
        0.0286399,
        0.0279523,
        0.0278904,
        0.0279977,
        0.028129,
        0.0286172,
        0.0290674,
        0.029665,
        0.0302062,
        0.0306995,
        0.0311681,
        0.0313737,
        0.0321433,
        0.0332772,
        0.0354618,
        0.0381108,
        0.0414231,
        0.047635,
        0.0508108,
        0.0508628,
        0.0550759,
        0.0597006,
        0.0659773,
        0.0747495,
        0.084814,
        0.0983398,
        0.12639,
        0.177598,
        0.255653,
        0.179523,
        0.126267,
        0.0972512,
        0.0800785,
        0.0697799,
        0.0601436,
        0.0541484,
        0.0498578,
        0.046159,
        0.0434088,
        0.0421107,
        0.0417291,
        0.0415708,
        0.0411419,
        0.041863,
        0.0421117,
        0.0382259,
        0.0355068,
        0.0332606,
        0.0313832,
        0.0306966,
        0.0307633,
        0.030753,
        0.0303641,
        0.0297698,
        0.0290875,
        0.0283334,
        0.0281439,
        0.0286049,
        0.0293753,
        0.0299379,
        0.0301565,
        0.0295551,
        0.0285653,
        0.0273512,
        0.0266714,
        0.0260823,
        0.0259922,
        0.0261622,
        0.0264274,
        0.0266443,
        0.0270472,
        0.0274834,
        0.0276528,
        0.0276981,
        0.0274219,
        0.0274541,
        0.0274818,
        0.0274696,
        0.0273291,
        0.0276324,
        0.0277497,
        0.0271295,
        0.0269864,
        0.0276253,
        0.0288448,
        0.0296667,
        0.0295069,
        0.0292708,
        0.0287554,
        0.02892,
        0.0300315,
        0.0318713,
        0.0368219,
        0.0365643,
        0.0335159,
        0.033416,
        0.0336767,
        0.0343744,
        0.0348645,
        0.0356778,
        0.0360207,
        0.0353994,
        0.0352908,
        0.0350157,
        0.0341388,
        0.033451,
        0.0328943,
        0.0313942,
        0.029723,
        0.028263,
        0.0267998,
        0.0258836,
        0.0257249,
        0.0260099,
        0.0297487,
        0.0301696,
        0.0278056,
        0.0284235,
        0.0286764,
        0.0280219,
        0.027025,
        0.0259499,
        0.0254461,
        0.0255948,
        0.0259051,
        0.0260762,
        0.0261036,
        0.0258958,
        0.026417,
        0.026932,
        0.028208,
        0.0299045,
        0.0283302,
        0.0271054,
        0.0262436,
        0.0261362,
        0.0268362,
        0.0276829,
        0.0278721,
        0.0278599,
        0.0273301,
        0.0271204,
        0.0282897,
        0.0297861,
        0.0297102,
        0.0306602,
        0.0310164,
        0.0317205,
        0.0316044,
        0.0288216,
        0.0271442,
        0.0262804,
        0.0260239,
        0.0257945,
        0.0255697,
        0.0255159,
        0.0255591,
        0.0255701,
        0.0260012,
        0.0264136,
        0.0263894,
        0.0261498,
        0.025579,
        0.0249847,
        0.0246566,
        0.0265676,
        0.0265514,
        0.0248597,
        0.024933,
        0.0255121,
        0.0261522,
        0.0270823,
        0.0277855,
        0.0280838,
        0.0280628,
        0.0280154,
        0.0281013,
        0.0281653,
        0.0279789,
        0.0279284,
        0.0288828,
        0.034089,
        0.0375741,
        0.0374885,
        0.0373603,
        0.0357699,
        0.0340107,
        0.0324531,
        0.032786,
        0.0345803,
        0.0332499,
        0.0305926,
        0.0288993,
        0.028782,
        0.0297559,
        0.0314637,
        0.0333632,
        0.0343232,
        0.0340686,
        0.0317548,
        0.0291765,
        0.0275861,
        0.0272124,
        0.0267963,
        0.026564,
        0.0264822,
        0.0265706,
        0.0265144,
        0.0266425,
        0.0270769,
        0.0276431,
        0.0291629,
        0.0300525,
        0.0312648,
        0.033137,
        0.0335718,
        0.0333526,
        0.0327123,
        0.0321597,
        0.0327264,
        0.0340627,
        0.0349806,
        0.0347683,
        0.0332545,
        0.0321142,
        0.031352,
        0.0319702,
        0.0331265,
        0.0347878,
        0.0369603,
        0.0405232,
        0.0455891,
        0.0536891,
        0.0629557,
        0.0743624,
        0.0861173,
        0.109429,
        0.12039,
        0.1107,
        0.11701,
        0.123504,
        0.128599,
        0.138142,
        0.155997,
        0.16836,
        0.166004,
        0.145902,
        0.131582,
        0.119318,
        0.109846,
        0.105604,
        0.100075,
        0.0971007,
        0.096068,
        0.0929018,
        0.0912721,
        0.0933652,
        0.0968575,
        0.100005,
        0.101356,
        0.100158,
        0.0969514,
        0.0987438,
        0.0945237,
        0.0890457,
        0.0785559,
        0.0719349,
        0.0688645,
        0.0677368,
        0.0725827,
        0.0715994,
        0.0676392,
        0.0686914,
        0.0697813,
        0.070058,
        0.0684708,
        0.063444,
        0.0582565,
        0.0551087,
        0.053534,
        0.0555032,
        0.0611731,
        0.0666027,
        0.0701455,
        0.0706011,
        0.0666908,
        0.0602122,
        0.0584487,
        0.0544318,
        0.0488046,
        0.0463588,
        0.0450742,
        0.0433058,
        0.0459245,
        0.044757,
        0.0398443,
        0.0408397,
        0.0425048,
        0.0444393,
        0.0469463,
        0.0498092,
        0.0519787,
        0.0526859,
        0.0510285,
        0.0495916,
        0.0485998,
        0.0494343,
        0.0518807,
        0.0548401,
        0.0550553,
        0.0524637,
        0.0476625,
        0.0430588,
        0.0400591,
        0.0386118,
        0.0383793,
        0.038061,
        0.0369886,
        0.0353637,
        0.0342588,
        0.0339675,
        0.0340572,
        0.0344752,
        0.0346483,
        0.0349721,
        0.0356643,
        0.0355525,
        0.0349646,
        0.0344628,
        0.0345322,
        0.0351071,
        0.03637,
        0.0374656,
        0.037088,
        0.0352152,
        0.0339992,
        0.0328134,
        0.0365171,
        0.0374086,
        0.0378116,
        0.0398299,
        0.0405023,
        0.0386743,
        0.0358982,
        0.0337816,
        0.0337033,
        0.03415,
        0.0338312,
        0.0351937,
        0.0362546,
        0.0371122,
        0.0374795,
        0.0371744,
        0.0362161,
        0.0346405,
        0.0326963,
        0.0309035,
        0.0303857,
        0.0312941,
        0.0354877,
        0.0372059,
        0.0354258,
        0.0344166,
        0.0327297,
        0.0311147,
        0.0295671,
        0.0289826,
        0.0293655,
        0.0294981,
        0.0291366,
        0.0284502,
        0.0278306,
        0.0276354,
        0.0284134,
        0.0308185,
        0.0345436,
        0.0392056,
        0.0441275,
        0.0463707,
        0.0442731,
        0.041263,
        0.0418848,
        0.0395749,
        0.0388566,
        0.0426222,
        0.0452612,
        0.0436977,
        0.0389506,
        0.0338316,
        0.030168,
        0.0285852,
        0.0279984,
        0.0279901,
        0.028075,
        0.0287051,
        0.0305312,
        0.0334001,
        0.036222,
        0.0372171,
        0.0358949,
        0.032791,
        0.0303254,
        0.029899,
        0.0331542,
        0.0336277,
        0.0308625,
        0.0298508,
        0.0289101,
        0.0286775,
        0.028856,
        0.0293816,
        0.0302109,
        0.0366066,
        0.0396499,
        0.0362917,
        0.0367586,
        0.0350648,
        0.031708,
        0.0288096,
        0.0271263,
        0.0265361,
        0.0263647,
        0.0262625,
        0.0268808,
        0.0274028,
        0.0278235,
        0.0283807,
        0.0300298,
        0.0335033,
        0.0387634,
        0.0427289,
        0.0433173,
        0.0394484,
        0.034321,
        0.0303641,
        0.0288783,
        0.0286141,
        0.0285905,
        0.0285377,
        0.0288718,
        0.0321859,
        0.0334812,
        0.0316838,
        0.0345892,
        0.0372509,
        0.038772,
        0.0404909,
        0.0407685,
        0.0428968,
        0.0475479,
        0.053216,
        0.0568601,
        0.0543942,
        0.0517633,
        0.0516627,
        0.054555,
        0.0665242,
        0.0791442,
        0.0851153,
        0.092488,
        0.0961676,
        0.102952,
        0.120321,
        0.159117,
        0.216447,
        0.268393,
        0.176101,
        0.134889,
        0.102152,
        0.0830485,
        0.0715744,
        0.0630957,
        0.0609241,
        0.0591063,
        0.0625351,
        0.0609722,
        0.0570207,
        0.0500893,
        0.0438701,
        0.0392423,
        0.0376334,
        0.0378653,
        0.0397399,
        0.0419903,
        0.044042,
        0.0456845,
        0.046132,
        0.0458757,
        0.0467926,
        0.0485101,
        0.0481087,
        0.0455941,
        0.0431449,
        0.0413485,
        0.0404763,
        0.0434057,
        0.044363,
        0.0434784,
        0.0402989,
        0.0358994,
        0.0323654,
        0.0304726,
        0.0293974,
        0.0292002,
        0.0290907,
        0.0285997,
        0.0285775,
        0.0286237,
        0.0285738,
        0.0286162,
        0.0285775,
        0.0280307,
        0.0277901,
        0.0276849,
        0.0279129,
        0.0281794,
        0.0284977,
        0.0292776,
        0.0300649,
        0.0318356,
        0.034843,
        0.0382975,
        0.0400395,
        0.0396376,
        0.0389664,
        0.0391353,
        0.0398006,
        0.0395555,
        0.0371366,
        0.0330088,
        0.0300029,
        0.0283567,
        0.027899,
        0.0277762,
        0.0287682,
        0.0317967,
        0.041465,
        0.0569502,
        0.0680394,
        0.0636698,
        0.0642181,
        0.0576388,
        0.0503697,
        0.0455172,
        0.0434198,
        0.0477848,
        0.0495221,
        0.0507261,
        0.0498919,
        0.0449842,
        0.0400834,
        0.0351979,
        0.0310472,
        0.028264,
        0.0275618,
        0.0276522,
        0.0275108,
        0.0276136,
        0.0273136,
        0.0267774,
        0.0264301,
        0.0263536,
        0.0264823,
        0.0265377,
        0.0267756,
        0.0272575,
        0.0278236,
        0.0263765,
        0.026295,
        0.0261633,
        0.0261745,
        0.0264512,
        0.0265116,
        0.0265539,
        0.0277807,
        0.0301288,
        0.0327409,
        0.0357,
        0.0370512,
        0.0356137,
        0.0325822,
        0.0292685,
        0.0272994,
        0.0269515,
        0.0269017,
        0.0311033,
        0.0321518,
        0.0293992,
        0.030326,
        0.0320006,
        0.0369534,
        0.0426631,
        0.0497979,
        0.0589041,
        0.063463,
        0.0567874,
        0.0474045,
        0.0406315,
        0.0371349,
        0.0326515,
        0.0284187,
        0.0265416,
        0.0258645,
        0.0257295,
        0.0260253,
        0.0259739,
        0.0258912,
        0.0261346,
        0.0260062,
        0.0255385,
        0.0250466,
        0.0250043,
        0.0250436,
        0.0252516,
        0.025425,
        0.0255529,
        0.0253761,
        0.0256045,
        0.0280706,
        0.0280466,
        0.0260472,
        0.02646,
        0.0266458,
        0.0272407,
        0.0285622,
        0.0313931,
        0.0368297,
        0.0449266,
        0.0534375,
        0.0576655,
        0.0521902,
        0.0433728,
        0.0373139,
        0.035141,
        0.0376152,
        0.0417874,
        0.0494584,
        0.0506355,
        0.0440138,
        0.0396425,
        0.0351968,
        0.0327135,
        0.031623,
        0.0317786,
        0.0339836,
        0.0389504,
        0.0467245,
        0.0561926,
        0.0621824,
        0.0599533,
        0.054725,
        0.0500773,
        0.0478074,
        0.0451867,
        0.0417423,
        0.0380126,
        0.0369997,
        0.0385598,
        0.0405888,
        0.0404683,
        0.0379829,
        0.034956,
        0.0327036,
        0.0335977,
        0.0367362,
        0.0400722,
        0.0427672,
        0.042059,
        0.0381045,
        0.0345708,
        0.0343302,
        0.0341322,
        0.0335568,
        0.0336739,
        0.0331851,
        0.032027,
        0.0308008,
        0.0299351,
        0.0292088,
        0.0286139,
        0.0281738,
        0.0279912,
        0.0303825,
        0.0304738,
        0.0276364,
        0.027377,
        0.0273487,
        0.0272968,
        0.0271096,
        0.0286079,
        0.0297482,
        0.029911,
        0.0300799,
        0.0300991,
        0.0302578,
        0.0297051,
        0.0284998,
        0.0282419,
        0.028813,
        0.0302157,
        0.0334706,
        0.0376777,
        0.0426378,
        0.0465727,
        0.0481854,
        0.0458776,
        0.0413571,
        0.0377224,
        0.0339395,
        0.0311257,
        0.0306568,
        0.0322154,
        0.0355268,
        0.040021,
        0.0426957,
        0.0426094,
        0.0401305,
        0.0381111,
        0.0395375,
        0.045734,
        0.0562034,
        0.0656455,
        0.0634984,
        0.0533748,
        0.0435634,
        0.0363381,
        0.032492,
        0.0306668,
        0.0314443,
        0.0314192,
        0.0290873,
        0.0290542,
        0.0290708,
        0.0290355,
        0.0289359,
        0.0293157,
        0.0295491,
        0.029757,
        0.0299694,
        0.0307708,
        0.0318645,
        0.0328225,
        0.0351127,
        0.0396624,
        0.0481471,
        0.0594892,
        0.0663091,
        0.0668487,
        0.0574887,
        0.0493924,
        0.0435483,
        0.0408317,
        0.040971,
        0.0429748,
        0.0483151,
        0.0556176,
        0.0643298,
        0.0741773,
        0.0837824,
        0.0949924,
        0.0980611,
        0.0988914,
        0.091396,
        0.0808929,
        0.0736789,
        0.0679295,
        0.0623991,
        0.0575229,
        0.0552351,
        0.056371,
        0.0596122,
        0.0631352,
        0.068162,
        0.074186,
        0.0815888,
        0.0947443,
        0.114494,
        0.161571,
        0.203548,
        0.224169,
        0.324901,
        0.235839,
        0.182684,
        0.149701,
        0.122505,
        0.102563,
        0.0913164,
        0.0813959,
        0.0738421,
        0.0666768,
        0.0613787,
        0.0579083,
        0.055135,
        0.0525937,
        0.0516348,
        0.053235,
        0.0541179,
        0.0503961,
        0.0487205,
        0.0496407,
        0.0498024,
        0.0410756,
        0.0404103,
        0.0400155,
        0.0394265,
        0.0401433,
        0.0422538,
        0.0464852,
        0.0531941,
        0.062229,
        0.0730833,
        0.0800122,
        0.076747,
        0.0674126,
        0.061565,
        0.0566996,
        0.0538056,
        0.0513312,
        0.047644,
        0.042903,
        0.0395287,
        0.0380356,
        0.0440197,
        0.043937,
        0.0375345,
        0.037515,
        0.0374648,
        0.0393093,
        0.0443699,
        0.0505256,
        0.0532594,
        0.0528197,
        0.0495584,
        0.0447331,
        0.0423095,
        0.042252,
        0.0452047,
        0.0464548,
        0.0473841,
        0.0509755,
        0.0546736,
        0.059163,
        0.0659529,
        0.0728892,
        0.0824397,
        0.0960132,
        0.115117,
        0.134672,
        0.161199,
        0.184281,
        0.188724,
        0.182596,
        0.168112,
        0.147559,
        0.151562,
        0.1541,
        0.149261,
        0.150757,
        0.134848,
        0.121078,
        0.109877,
        0.101199,
        0.0987835,
        0.107512,
        0.100625,
        0.0795949,
        0.068868,
        0.0613685,
        0.056677,
        0.0558542,
        0.0575081,
        0.0565465,
        0.0521987,
        0.0479828,
        0.0436266,
        0.0402717,
        0.0397002,
        0.0422207,
        0.0463345,
        0.0495678,
        0.0500267,
        0.0479915,
        0.0433784,
        0.0397447,
        0.0379863,
        0.037378,
        0.0374774,
        0.0368046,
        0.0364903,
        0.0360701,
        0.0362957,
        0.0373994,
        0.0387314,
        0.0389289,
        0.0433004,
        0.0490157,
        0.0545748,
        0.0578866,
        0.0572632,
        0.0525685,
        0.0483658,
        0.0468693,
        0.0478038,
        0.0503,
        0.0528995,
        0.0565903,
        0.062489,
        0.0673814,
        0.0748981,
        0.0873792,
        0.107749,
        0.140638,
        0.201882,
        0.204358,
        0.150826,
        0.117789,
        0.102165,
        0.0945872,
        0.0895498,
        0.0844328,
        0.0897685,
        0.0855504,
        0.071317,
        0.0657911,
        0.0589803,
        0.0517784,
        0.0466056,
        0.044042,
        0.0431802,
        0.0447447,
        0.0479358,
        0.051242,
        0.0527058,
        0.0517429,
        0.0479421,
        0.0428283,
        0.0402576,
        0.0391039,
        0.0382678,
        0.0373872,
        0.0365916,
        0.0351877,
        0.0350071,
        0.0346104,
        0.0349618,
        0.035624,
        0.0430382,
        0.0471227,
        0.0453524,
        0.0535999,
        0.0631602,
        0.0728348,
        0.0756785,
        0.0697687,
        0.0595315,
        0.0501832,
        0.0431908,
        0.0373448,
        0.0349714,
        0.0342711,
        0.0344186,
        0.0342342,
        0.0343742,
        0.0345891,
        0.0377205,
        0.0381477,
        0.03557,
        0.037455,
        0.0392253,
        0.0394654,
        0.0414124,
        0.0424995,
        0.0455007,
        0.0441633,
        0.0406054,
        0.0435582,
        0.0543415,
        0.0680149,
        0.0762322,
        0.0877086,
        0.0956153,
        0.0944407,
        0.0973268,
        0.118059,
        0.127595,
        0.122994,
        0.105741,
        0.0860428,
        0.0684865,
        0.0576135,
        0.0486505,
        0.0424281,
        0.0391426,
        0.0384804,
        0.0385605,
        0.0393935,
        0.0416453,
        0.0460713,
        0.0521423,
        0.0535597,
        0.0534159,
        0.0506307,
        0.0461299,
        0.0452181,
        0.0453772,
        0.0468713,
        0.046846,
        0.0458927,
        0.0455481,
        0.0461755,
        0.0464658,
        0.0528089,
        0.0519853,
        0.0446932,
        0.0448189,
        0.0453983,
        0.047405,
        0.0525561,
        0.0608987,
        0.0704921,
        0.0767498,
        0.0788478,
        0.0734259,
        0.0639877,
        0.0570269,
        0.0530426,
        0.0506179,
        0.0483813,
        0.0490787,
        0.050977,
        0.0559873,
        0.0619487,
        0.0632772,
        0.0618894,
        0.0547188,
        0.0487922,
        0.0463125,
        0.0454081,
        0.0442296,
        0.0428612,
        0.0412545,
        0.0411341,
        0.0442983,
        0.0502877,
        0.059301,
        0.064513,
        0.0663388,
        0.0654511,
        0.0630367,
        0.0611178,
        0.0608339,
        0.060459,
        0.0601047,
        0.061087,
        0.066787,
        0.0717318,
        0.0743724,
        0.0711422,
        0.0624521,
        0.0557597,
        0.0523001,
        0.0487444,
        0.0457112,
        0.0444229,
        0.0440759,
        0.045543,
        0.0496307,
        0.0547164,
        0.0587389,
        0.0607297,
        0.0616103,
        0.0621579,
        0.064257,
        0.0659635,
        0.0624784,
        0.0544645,
        0.0452193,
        0.0398269,
        0.0365817,
        0.0350633,
        0.0355504,
        0.036587,
        0.0359554,
        0.0347023,
        0.0346082,
        0.034286,
        0.0349139,
        0.0366792,
        0.0414676,
        0.0550903,
        0.0605479,
        0.0502194,
        0.0464273,
        0.0412863,
        0.0371732,
        0.035706,
        0.0356517,
        0.0354084,
        0.0351277,
        0.0346162,
        0.0344151,
        0.0339465,
        0.03464,
        0.0368081,
        0.0409485,
        0.0414462,
        0.0425769,
        0.0433216,
        0.0417432,
        0.0401479,
        0.0416545,
        0.0429231,
        0.0456162,
        0.050606,
        0.0595456,
        0.070011,
        0.0788668,
        0.0780906,
        0.0689899,
        0.0623674,
        0.0612512,
        0.0647139,
        0.0765655,
        0.0953178,
        0.120536,
        0.129365,
        0.105005,
        0.0809951,
        0.0635591,
        0.0523313,
        0.046678,
        0.0439055,
        0.0423719,
        0.0409646,
        0.0407704,
        0.0413418,
        0.0444341,
        0.0496952,
        0.0583027,
        0.0678739,
        0.0781038,
        0.087198,
        0.085191,
        0.0753154,
        0.0646679,
        0.0561868,
        0.0505676,
        0.0475837,
        0.0468062,
        0.047279,
        0.0471867,
        0.0469442,
        0.0484226,
        0.0487356,
        0.0495946,
        0.0556223,
        0.0571095,
        0.0532798,
        0.0591956,
        0.0678498,
        0.0786814,
        0.0960271,
        0.117244,
        0.0934883,
        0.0747124,
        0.0652613,
        0.0553128,
        0.0480367,
        0.0444455,
        0.0429499,
        0.0431574,
        0.0432648,
        0.0429487,
        0.044083,
        0.0457136,
        0.0477607,
        0.0512502,
        0.0534271,
        0.0528073,
        0.0514877,
        0.0509826,
        0.0526015,
        0.0566107,
        0.0564621,
        0.0576548,
        0.0610062,
        0.0657788,
        0.0728841,
        0.0806117,
        0.0868335,
        0.0900214,
        0.0921905,
        0.0974318,
        0.112068,
        0.14006,
        0.183397,
        0.251798,
        0.193988,
        0.147605,
        0.122623,
        0.107592,
        0.101056,
        0.0985627,
        0.101274,
        0.107615,
        0.113709,
        0.115014,
        0.10792,
        0.0926858,
        0.0818696,
        0.0710116,
        0.0643291,
        0.0604716,
        0.0571416,
        0.0547033,
        0.0518401,
        0.0494249,
        0.047547,
        0.0455192,
        0.0450019,
        0.0450969,
        0.045561,
        0.0448344,
        0.0437378,
        0.0425999,
        0.0413959,
        0.0407432,
        0.0413476,
        0.043075,
        0.0470003,
        0.0536034,
        0.0582576,
        0.0609752,
        0.0588676,
        0.052246,
        0.0465437,
        0.0436026,
        0.0427104,
        0.0432618,
        0.0456651,
        0.0487049,
        0.0524834,
        0.0543085,
        0.0540909,
        0.0523434,
        0.0489619,
        0.0458866,
        0.0439336,
        0.0427102,
        0.0425586,
        0.0435286,
        0.0470197,
        0.0527968,
        0.0619985,
        0.070407,
        0.072553,
        0.0668211,
        0.0565767,
        0.0483008,
        0.0444166,
        0.0440991,
        0.0463681,
        0.0508349,
        0.0535303,
        0.054594,
        0.0543939,
        0.0510121,
        0.0508902,
        0.0552477,
        0.068692,
        0.089568,
        0.10888,
        0.109375,
        0.0855628,
        0.0654536,
        0.0523274,
        0.0453284,
        0.0442755,
        0.0465435,
        0.0510728,
        0.056103,
        0.0585749,
        0.0568577,
        0.0515041,
        0.0451118,
        0.0418732,
        0.0405403,
        0.041127,
        0.043751,
        0.0497235,
        0.0578706,
        0.0672975,
        0.0708978,
        0.0680191,
        0.059043,
        0.0510961,
        0.0475074,
        0.0477327,
        0.0522093,
        0.0601326,
        0.0676341,
        0.0740793,
        0.0732909,
        0.0705951,
        0.0621685,
        0.0523234,
        0.0531669,
        0.0578249,
        0.0632543,
        0.0664716,
        0.0647094,
        0.0578964,
        0.0500543,
        0.045387,
        0.0436887,
        0.0450459,
        0.0474844,
        0.0507762,
        0.0543744,
        0.0557823,
        0.0541978,
        0.0503291,
        0.0468487,
        0.0441647,
        0.0425829,
        0.0423747,
        0.0428806,
        0.0454036,
        0.0496665,
        0.0531486,
        0.0544612,
        0.0545598,
        0.0562516,
        0.0605509,
        0.0683105,
        0.0808138,
        0.0780712,
        0.07619,
        0.0694662,
        0.0639243,
        0.0600493,
        0.057462,
        0.0525182,
        0.0502352,
        0.0588713,
        0.0617455,
        0.0639461,
        0.0682902,
        0.0673113,
        0.0662279,
        0.0594199,
        0.0518478,
        0.0485067,
        0.0462182,
        0.0464419,
        0.048849,
        0.0538632,
        0.0602379,
        0.0661731,
        0.0689425,
        0.0646065,
        0.0578401,
        0.0519186,
        0.0491045,
        0.0488106,
        0.0487158,
        0.0505575,
        0.0510106,
        0.0540265,
        0.054671,
        0.0570351,
        0.0596191,
        0.064142,
        0.0727099,
        0.080591,
        0.0819403,
        0.0870876,
        0.0912474,
        0.09733,
        0.109639,
        0.131,
        0.156483,
        0.205237,
        0.275544,
        0.229566,
        0.210338,
        0.178303,
        0.166278,
        0.148841,
        0.123133,
        0.10921,
        0.105934,
        0.106098,
        0.10672,
        0.102656,
        0.101851,
        0.102986,
        0.10051,
        0.0943965,
        0.081875,
        0.0703143,
        0.0660927,
        0.0688486,
        0.0703573,
        0.0709373,
        0.0673179,
        0.0611127,
        0.0550622,
        0.0518622,
        0.0505505,
        0.0507018,
        0.0507648,
        0.0521272,
        0.0546949,
        0.0613046,
        0.0710907,
        0.0816654,
        0.0878849,
        0.0864256,
        0.0779406,
        0.0700365,
        0.0682829,
        0.0786237,
        0.097984,
        0.131285,
        0.162815,
        0.146574,
        0.110358,
        0.0833827,
        0.0699958,
        0.0629782,
        0.0609536,
        0.0578681,
        0.0561519,
        0.0545049,
        0.0508546,
        0.0496535,
        0.0489382,
        0.0471072,
        0.0475068,
        0.0474583,
        0.0486555,
        0.0495118,
        0.050098,
        0.0505452,
        0.0501997,
        0.0485262,
        0.0478809,
        0.0476261,
        0.046274,
        0.0460632,
        0.0464546,
        0.0480381,
        0.0515679,
        0.0575028,
        0.0669702,
        0.0791668,
        0.0921963,
        0.106352,
        0.107042,
        0.0997263,
        0.0884129,
        0.0726752,
        0.0641484,
        0.0589174,
        0.0476978,
        0.0464246,
        0.0468514,
        0.0482576,
        0.0533617,
        0.0626733,
        0.0775383,
        0.0915917,
        0.0973833,
        0.0892891,
        null,
        0.0421387,
        0.0429159,
        0.0436133,
        0.04198,
        0.0398024,
        0.0387244,
        0.0378769,
        0.0374235,
        0.0366234,
        0.0359964,
        0.0363472,
        0.03575,
        0.0348501,
        0.0354591,
        0.0362056,
        0.0380908,
        0.0426823,
        0.0493324,
        0.0552369,
        0.0564291,
        0.0520136,
        0.0453555,
        0.0417758,
        0.0417194,
        0.042751,
        0.0426652,
        0.0416667,
        0.039805,
        0.0376316,
        0.0370777,
        0.0374714,
        0.0373909,
        0.036812,
        0.0362951,
        0.0361502,
        0.037647,
        0.0419099,
        0.0499025,
        0.0705606,
        0.0763105,
        0.0648335,
        0.0529932,
        0.0432976,
        0.0387147,
        0.0369127,
        0.0368322,
        0.0389796,
        0.0432549,
        0.0495764,
        0.0555921,
        0.0569134,
        0.0561511,
        0.0488314,
        0.0403124,
        0.0389921,
        0.0402902,
        0.0423922,
        0.0449661,
        0.0494906,
        0.0562782,
        0.0630414,
        0.0662182,
        0.0630468,
        0.0549856,
        0.048587,
        0.0460325,
        0.0456454,
        0.046894,
        0.0496238,
        0.0526647,
        0.0581129,
        0.064535,
        0.0705259,
        0.0726914,
        0.0720587,
        0.0687238,
        0.0631224,
        0.0592411,
        0.0587977,
        0.0621212,
        0.0681185,
        0.0751124,
        0.0767179,
        0.0721405,
        0.063719,
        0.0591931,
        0.0595296,
        0.0621341,
        0.0652055,
        0.0672551,
        0.069502,
        0.0717231,
        0.0759502,
        0.0858406,
        0.093051,
        0.0939854,
        0.0962105,
        0.0985932,
        0.107085,
        0.121409,
        0.124034,
        0.120813,
        0.0991266,
        0.0712151,
        0.0595572,
        0.0528808,
        0.0490339,
        0.0471264,
        0.0470653,
        0.0503062,
        0.0577264,
        0.067083,
        0.0725673,
        0.0694204,
        0.0595375,
        0.0510747,
        0.0460645,
        0.0439604,
        0.0430917,
        0.0426434,
        0.0419607,
        0.0420375,
        0.0422713,
        0.0420179,
        0.0420658,
        0.0416087,
        0.0409267,
        0.0401013,
        0.0399571,
        0.0396987,
        0.0399049,
        0.0409418,
        0.0420859,
        0.0435005,
        0.0464368,
        0.0520686,
        0.0620033,
        0.0727811,
        0.0759129,
        0.0691094,
        0.0574528,
        0.0491428,
        0.0454473,
        0.0442404,
        0.0443397,
        0.0449515,
        0.0465477,
        0.0485195,
        0.0506198,
        0.053874,
        0.0578507,
        0.0618234,
        0.0661555,
        0.0720157,
        0.0795943,
        0.092146,
        0.114225,
        0.146638,
        0.196675,
        0.2485,
        0.204069,
        0.185546,
        0.161469,
        0.134244,
        0.109641,
        0.0915838,
        0.0782077,
        0.0699646,
        0.0646387,
        0.0608504,
        0.0587923,
        0.056216,
        0.0539625,
        0.0530079,
        0.0525532,
        0.0529481,
        0.0536069,
        0.0567389,
        0.0608166,
        0.0659527,
        0.0656597,
        0.0618448,
        0.061486,
        0.066096,
        0.0733599,
        0.0819176,
        0.0878589,
        0.0909229,
        0.0901959,
        0.0872745,
        0.080133,
        0.0704799,
        0.0649933,
        0.0638079,
        0.0639504,
        0.0656261,
        0.0682904,
        0.0715437,
        0.074417,
        0.0777393,
        0.0842591,
        0.0926308,
        0.10285,
        0.120457,
        0.143806,
        0.176448,
        0.217196,
        0.260015,
        0.317956,
        0.240541,
        0.200355,
        0.170428,
        0.149323,
        0.136965,
        0.123908,
        0.108485,
        0.0964966,
        0.0910052,
        0.0924815,
        0.0978146,
        0.100618,
        0.0963054,
        0.0849125,
        0.0741743,
        0.068854,
        0.066987,
        0.0672844,
        0.0680793,
        0.0691982,
        0.0700987,
        0.071479,
        0.0715964,
        0.0703604,
        0.0704385,
        0.0738426,
        0.0801414,
        0.085741,
        0.0870106,
        0.0826664,
        0.0760946,
        0.0718698,
        0.0715185,
        0.0718952,
        0.0739715,
        0.0776516,
        0.0834684,
        0.0896029,
        0.100137,
        0.114438,
        0.136431,
        0.168358,
        0.210253,
        0.158481,
        0.126209,
        0.101965,
        0.0932843,
        0.0856656,
        0.0757227,
        0.0717121,
        0.0679991,
        0.0633231,
        0.0594353,
        0.0562854,
        0.0530753,
        0.0500133,
        0.0472386,
        0.0446125,
        0.0422883,
        0.0411166,
        0.0400392,
        0.0389182,
        0.0380908,
        0.0376149,
        0.0370818,
        0.0361482,
        0.035619,
        0.0353641,
        0.0353376,
        0.0350772,
        0.0348743,
        0.0347006,
        0.0350523,
        0.0362984,
        0.0386367,
        0.0399422,
        0.0403221,
        0.0394729,
        0.0377346,
        0.0363066,
        0.0360676,
        0.0369485,
        0.0379678,
        0.0394025,
        0.041287,
        0.043234,
        0.0454568,
        0.0463975,
        0.0459692,
        0.0442863,
        0.0419226,
        0.0401495,
        0.0385584,
        0.0378064,
        0.0375518,
        0.0374132,
        0.0389161,
        0.0428858,
        0.0485436,
        0.0552975,
        0.0603894,
        0.0590965,
        0.054231,
        0.0489615,
        0.0433778,
        0.0392687,
        0.0367663,
        0.0344501,
        0.033276,
        0.0330245,
        0.0325005,
        0.0314646,
        0.0309452,
        0.0304401,
        0.0303571,
        0.0302427,
        0.0296794,
        0.0293643,
        0.0292529,
        0.0291841,
        0.0290259,
        0.0288899,
        0.0291177,
        0.0302059,
        0.0322948,
        0.033865,
        0.034119,
        0.033223,
        0.0317466,
        0.0305645,
        0.0300721,
        0.0300232,
        0.0296087,
        0.0294024,
        0.0293888,
        0.0291707,
        0.0292219,
        0.0293475,
        0.0296296,
        0.0299742,
        0.0316345,
        0.032754,
        0.0314459,
        0.0319192,
        0.0330301,
        0.0343311,
        0.0360294,
        0.0378238,
        0.0402036,
        0.0434156,
        0.0472255,
        0.0519915,
        0.0581213,
        0.0619765,
        0.0626832,
        0.0598407,
        0.054451,
        0.0494425,
        0.0456725,
        0.0427795,
        0.0408818,
        0.0405539,
        0.0424024,
        0.044523,
        0.045303,
        0.0449673,
        0.0445585,
        0.048503,
        0.0472848,
        0.0411927,
        0.036942,
        0.0325931,
        0.0303128,
        0.0294707,
        0.02902,
        0.0288605,
        0.0288643,
        0.0288706,
        0.0290392,
        0.0288461,
        0.0285564,
        0.0282461,
        0.0282219,
        0.0281061,
        0.028809,
        0.0304611,
        0.0319215,
        0.0326083,
        0.0325321,
        0.0309097,
        0.0290955,
        0.0282836,
        0.0280422,
        0.028129,
        0.0282022,
        0.0327715,
        0.0331805,
        0.0281782,
        0.0277608,
        0.0277134,
        0.0276494,
        0.0277779,
        0.0277739,
        0.0277772,
        0.0280054,
        0.0278711,
        0.0277383,
        0.0276878,
        0.0277833,
        0.027899,
        0.0283112,
        0.0286686,
        0.029186,
        0.0293052,
        0.0292994,
        0.0296619,
        0.0292484,
        0.0282797,
        0.0281298,
        0.0281403,
        0.0281901,
        0.0281192,
        0.0282737,
        0.0280529,
        0.0279582,
        0.0278711,
        0.0278608,
        0.0277953,
        0.0282161,
        0.0286021,
        0.0289257,
        0.0289824,
        0.0286225,
        0.0278594,
        0.0277644,
        0.0275492,
        0.0272467,
        0.0272965,
        0.0274296,
        0.0273068,
        0.0278898,
        0.0278683,
        0.0272248,
        0.0267088,
        0.0266152,
        0.0263638,
        0.0260904,
        0.025895,
        0.0260269,
        0.0259289,
        0.0258278,
        0.0258886,
        0.0275163,
        0.0274289,
        0.026554,
        0.0269458,
        0.0273435,
        0.0278559,
        0.0288121,
        0.0299245,
        0.031875,
        0.0339393,
        0.0359653,
        0.0373413,
        0.0392595,
        0.0402831,
        0.0438097,
        0.043099,
        0.0368682,
        0.0340819,
        0.0315507,
        0.0299808,
        0.0289959,
        0.0281936,
        0.0279395,
        0.0278127,
        0.0273081,
        0.0271639,
        0.0271791,
        0.0270481,
        0.0267563,
        0.0266049,
        0.0265284,
        0.026622,
        0.0266486,
        0.0264221,
        0.0263642,
        0.0263355,
        0.0261656,
        0.0261592,
        0.0291562,
        0.0289597,
        0.0260502,
        0.0260188,
        0.0259903,
        0.0260055,
        0.0259962,
        0.0260307,
        0.025985,
        0.0260521,
        0.0261051,
        0.026062,
        0.0260891,
        0.0263163,
        0.0264764,
        0.0266361,
        0.0272136,
        0.0297119,
        0.0304247,
        0.0285195,
        0.0287946,
        0.0291289,
        0.0293099,
        0.0292576,
        0.0298057,
        0.0303189,
        0.0313144,
        0.0319999,
        0.0329887,
        0.0343192,
        0.036054,
        0.0384912,
        0.0414872,
        0.0455634,
        0.0511334,
        0.0573372,
        0.0623278,
        0.0645691,
        0.062501,
        0.0590297,
        0.0545742,
        0.050581,
        0.0477113,
        0.0457488,
        0.0445396,
        0.0437192,
        0.0449739,
        0.0466354,
        0.0460942,
        0.0482498,
        0.0511377,
        0.0548907,
        0.0590018,
        0.0645933,
        0.0728978,
        0.0841381,
        0.10174,
        0.128271,
        0.159993,
        0.216427,
        0.206656,
        0.142928,
        0.103958,
        0.0847889,
        0.070737,
        0.0620437,
        0.0541885,
        0.0492825,
        0.0457902,
        0.0427588,
        0.0403374,
        0.0383046,
        0.0367399,
        0.0353995,
        0.034358,
        0.0335835,
        0.0351139,
        0.0343178,
        0.0316342,
        0.0315812,
        0.0309789,
        0.030575,
        0.0307078,
        0.0307917,
        0.0309221,
        0.030616,
        0.0299898,
        0.0292299,
        0.0288174,
        0.028665,
        0.0283869,
        0.0283353,
        0.0282439,
        0.0285979,
        0.028956,
        0.0288809,
        0.029268,
        0.0294719,
        0.0292238,
        0.0286725,
        0.0279615,
        0.02739,
        0.0272302,
        0.0270855,
        0.0268724,
        0.0266923,
        0.0266392,
        0.0268023,
        0.0301351,
        0.0301214,
        0.026193,
        0.0262941,
        0.0265095,
        0.0262781,
        0.0261416,
        0.026092,
        0.0262874,
        0.0263574,
        0.0266924,
        0.0271028,
        0.027693,
        0.0308939,
        0.0304141,
        0.0268405,
        0.0263931,
        0.0259078,
        0.0257616,
        0.0257242,
        0.0257059,
        0.025898,
        0.0298582,
        0.0298816,
        0.0262542,
        0.0265008,
        0.0268719,
        0.0274562,
        0.028192,
        0.0291751,
        0.0310016,
        0.0336248,
        0.0372997,
        0.0411293,
        0.0440023,
        0.0440138,
        0.0414713,
        0.0387388,
        0.035765,
        0.0333544,
        0.0314927,
        0.0299727,
        0.02915,
        0.028504,
        0.0280899,
        0.0278522,
        0.0277527,
        0.0276582,
        0.0279189,
        0.027786,
        0.0289778,
        0.0286211,
        0.0276878,
        0.0283723,
        0.0297181,
        0.0331565,
        0.0359993,
        0.0400113,
        0.0421657,
        0.0422955,
        0.0418584,
        0.0407284,
        0.0390265,
        0.0364164,
        0.035418,
        0.0326363,
        0.030475,
        0.030704,
        0.0324615,
        0.0348018,
        0.0362276,
        0.0363437,
        0.0358871,
        0.0348279,
        0.0346615,
        0.0344074,
        0.0334496,
        0.0317144,
        0.0301477,
        0.0296007,
        0.029656,
        0.0302376,
        0.0308391,
        0.0316497,
        0.0334488,
        0.0369045,
        0.0422315,
        0.0486649,
        0.0544922,
        0.0554817,
        0.0542398,
        0.0559667,
        0.0621994,
        0.072685,
        0.0821954,
        0.08183,
        0.0733502,
        0.0633945,
        0.055116,
        0.0495418,
        0.0482592,
        0.052522,
        0.0548363,
        0.0480204,
        0.0442234,
        0.0388395,
        0.0346031,
        0.0326694,
        0.0398243,
        0.041231,
        0.0362596,
        0.0390639,
        0.0402997,
        0.0436649,
        0.0400185,
        0.0323907,
        0.0300013,
        0.0290349,
        0.029195,
        0.0289621,
        0.0290685,
        0.0299612,
        0.0318851,
        0.034209,
        0.0360769,
        0.0373534,
        0.0379683,
        0.0396402,
        0.0435183,
        0.0456822,
        0.0433065,
        0.0388659,
        0.0344046,
        0.0316249,
        0.0311381,
        0.0320794,
        0.0361517,
        0.0407434,
        0.0430164,
        0.0411261,
        0.0358821,
        0.0310822,
        0.0286687,
        0.0277599,
        0.0275311,
        0.029155,
        0.0324153,
        0.0347128,
        0.0363451,
        0.0361418,
        0.0343674,
        0.0324784,
        0.0319202,
        0.0311869,
        0.0298727,
        0.03021,
        0.0300593,
        0.0298769,
        0.0324528,
        0.0343517,
        0.0346804,
        0.0333859,
        0.0305289,
        0.0283165,
        0.0277971,
        0.0274347,
        0.0274542,
        0.0281615,
        0.0297435,
        0.0313386,
        0.0336326,
        0.0360958,
        0.0371658,
        0.0364487,
        0.034355,
        0.0321207,
        0.0302991,
        0.0319257,
        0.0325179,
        0.0304887,
        0.0318521,
        0.0343843,
        0.0386142,
        0.0440449,
        0.0479938,
        0.0483769,
        0.0452889,
        0.0427938,
        0.0398962,
        0.0374232,
        0.0356107,
        0.0359822,
        0.0387281,
        0.0415915,
        0.0424538,
        0.0394365,
        0.0345133,
        0.0304524,
        0.028489,
        0.0277889,
        0.027858,
        0.0290745,
        0.0319192,
        0.0361925,
        0.0412107,
        0.0437771,
        0.0424644,
        0.0380063,
        0.034583,
        0.033669,
        0.0338302,
        0.0341431,
        0.0344674,
        0.0349433,
        0.0370205,
        0.0403632,
        0.0452379,
        0.0502509,
        0.0535774,
        0.0524696,
        0.0465957,
        0.0431802,
        0.042527,
        0.0448091,
        0.046379,
        0.0450595,
        0.0414478,
        0.0369124,
        0.0330346,
        0.0310623,
        0.0316121,
        0.033435,
        0.036001,
        0.0393795,
        0.0441438,
        0.0437431,
        0.0390432,
        0.0361945,
        0.03468,
        0.0328502,
        0.0320725,
        0.0332305,
        0.0345632,
        0.0347519,
        0.0345286,
        0.0334561,
        0.0336875,
        0.0363937,
        0.0424144,
        0.0505146,
        0.0541305,
        0.0494316,
        0.0419689,
        0.0355956,
        0.0318446,
        0.0303006,
        0.0300312,
        0.0312624,
        0.0339787,
        0.0384666,
        0.0433425,
        0.0461747,
        0.0466727,
        0.044869,
        0.0421933,
        0.0415862,
        0.0438501,
        0.0459451,
        0.0473102,
        0.0483659,
        0.049082,
        0.0505769,
        0.0552725,
        0.0636244,
        0.0704687,
        0.0702377,
        0.0624081,
        0.0517903,
        0.0444405,
        0.0403087,
        0.0377721,
        0.0364695,
        0.0353258,
        0.0340218,
        0.033494,
        0.0345176,
        0.0377758,
        0.0436866,
        0.0490388,
        0.0502222,
        0.0459717,
        0.039273,
        0.0334151,
        0.0305629,
        0.0292663,
        0.0284684,
        0.0288159,
        0.0289325,
        0.0281182,
        0.0280019,
        0.0287471,
        0.0285607,
        0.0295067,
        0.0316078,
        0.0343848,
        0.0368058,
        0.0380267,
        0.038917,
        0.0384099,
        0.0377536,
        0.0396525,
        0.0394516,
        0.0376154,
        0.0350607,
        0.0329099,
        0.0313843,
        0.0305836,
        0.0308271,
        0.0315471,
        0.0329292,
        0.0354401,
        0.0392484,
        0.0437522,
        0.0464018,
        0.0481222,
        0.0448979,
        0.0399913,
        0.0401964,
        0.0413813,
        0.0419683,
        0.0396648,
        0.0362888,
        0.0344387,
        0.0337401,
        0.0330816,
        0.0318667,
        0.0306244,
        0.0362376,
        0.0365476,
        0.0373678,
        0.0428287,
        0.0491473,
        0.0519567,
        0.0502721,
        0.0458992,
        0.043661,
        0.0413447,
        0.0386106,
        0.0360031,
        0.0336147,
        0.0321198,
        0.0322156,
        0.0333013,
        0.0358879,
        0.0399396,
        0.0439353,
        0.0456654,
        0.0444049,
        0.0456055,
        0.0417261,
        0.0348454,
        0.033109,
        0.0329572,
        0.0345596,
        0.0364964,
        0.0377481,
        0.038722,
        0.0386186,
        0.0377792,
        0.0385709,
        0.0400652,
        0.0412475,
        0.0409515,
        0.039666,
        0.0369246,
        0.0346389,
        0.0338247,
        0.0333089,
        0.0332237,
        0.0334873,
        0.0335124,
        0.0342232,
        0.0357867,
        0.0382727,
        0.0407815,
        0.0442728,
        0.0489277,
        0.0544264,
        0.0585414,
        0.0614512,
        0.0622856,
        0.0635519,
        0.0567616,
        0.0541249,
        0.0554647,
        0.0581115,
        0.0669198,
        0.0755933,
        0.0844434,
        0.100455,
        0.119457,
        0.140485,
        0.165077,
        0.190045,
        0.209716,
        0.228618,
        0.238498,
        0.240869,
        0.223567,
        0.20906,
        0.199377,
        0.202013,
        0.228418,
        0.240299,
        0.184031,
        0.15957,
        0.152915,
        0.14405,
        0.132995,
        0.11343,
        0.0973287,
        0.085411,
        0.0743221,
        0.0659243,
        0.058428,
        0.054682,
        0.0538108,
        0.0544912,
        0.0547381,
        0.0548307,
        0.0554484,
        0.0583096,
        0.0637397,
        0.0727063,
        0.0808391,
        0.0853988,
        0.082049,
        0.0769797,
        0.0799056,
        0.0837099,
        0.0796602,
        0.0853164,
        0.079823,
        0.0713224,
        0.0674726,
        0.0628406,
        0.0582036,
        0.0535739,
        0.0510824,
        0.0500009,
        0.0497734,
        0.0490359,
        0.0463594,
        0.0428413,
        0.0405568,
        0.0400227,
        0.039922,
        0.0392212,
        0.0382442,
        0.0362339,
        0.034855,
        0.0360338,
        0.0398993,
        0.0460966,
        0.053078,
        0.0588116,
        0.0609049,
        0.0590523,
        0.0536603,
        0.0468791,
        0.0440235,
        0.0415513,
        0.0397746,
        0.0384743,
        0.0373203,
        0.0347658,
        0.0352924,
        0.0344861,
        0.0322073,
        0.0321507,
        0.0327619,
        0.0339693,
        0.0358396,
        0.037914,
        0.0410515,
        0.0434683,
        0.044025,
        0.0444734,
        0.0437496,
        0.0417394,
        0.0392521,
        0.0380225,
        0.0368468,
        0.037407,
        0.0365752,
        0.0354171,
        0.0367069,
        0.0382554,
        0.0386616,
        0.038119,
        0.0368772,
        0.0354113,
        0.0350447,
        0.0351532,
        0.0366456,
        0.0390409,
        0.0411182,
        0.0430086,
        0.0442123,
        0.0444745,
        0.045255,
        0.0504837,
        0.0597502,
        0.0711547,
        0.0786167,
        0.0806359,
        0.0750939,
        0.0697671,
        0.0692134,
        0.0713307,
        0.0713226,
        0.0737217,
        0.0775852,
        0.0809254,
        0.086812,
        0.0980638,
        0.115909,
        0.138745,
        0.172594,
        0.227771,
        0.308581,
        0.309026,
        0.253673,
        0.202372,
        0.170588,
        0.150381,
        0.139177,
        0.130847,
        0.1213,
        0.106443,
        0.0913228,
        0.0788881,
        0.0706849,
        0.0646567,
        0.0616763,
        0.0605595,
        0.0599428,
        0.0598199,
        0.0568746,
        0.0535422,
        0.0492796,
        0.0455242,
        0.0436718,
        0.0412804,
        0.0399068,
        0.0393177,
        0.0392138,
        0.038885,
        0.0392755,
        0.0394253,
        0.0404523,
        0.0428023,
        0.0467045,
        0.0528482,
        0.0590745,
        0.0619331,
        0.0592765,
        0.0540566,
        0.0509467,
        0.0508642,
        0.0535344,
        0.0582969,
        0.0597757,
        0.0581348,
        0.0552051,
        0.0496657,
        0.0443806,
        0.0429465,
        0.0429659,
        0.0433432,
        0.0447089,
        0.0449774,
        0.0460656,
        0.0468035,
        0.0473164,
        0.049101,
        0.0520591,
        0.0622388,
        0.0673913,
        0.0651312,
        0.0721967,
        0.0802259,
        0.089143,
        0.0964554,
        0.102441,
        0.106393,
        0.104887,
        0.100141,
        0.0979152,
        0.0965319,
        0.0926105,
        0.0954263,
        0.0861561,
        0.0683727,
        0.0612819,
        0.0564266,
        0.0542114,
        0.0528135,
        0.0517132,
        0.0496484,
        0.0474159,
        0.0447765,
        0.0422564,
        0.0418725,
        0.0416893,
        0.0428173,
        0.0440764,
        0.0463055,
        0.0499448,
        0.0558302,
        0.0627375,
        0.0720182,
        0.0859797,
        0.0934111,
        0.0924532,
        0.081396,
        0.0670792,
        0.0573404,
        0.0500135,
        0.0452577,
        0.042067,
        0.0395189,
        0.0370357,
        0.0350439,
        0.0343358,
        0.0336478,
        0.0331061,
        0.0334366,
        0.0340157,
        0.0350327,
        0.0357538,
        0.0361912,
        0.0359795,
        0.0364579,
        0.038416,
        0.0442326,
        0.0549183,
        0.067164,
        0.0787375,
        0.0824239,
        0.0734407,
        0.0611324,
        0.0516484,
        0.044069,
        0.0389106,
        0.0357205,
        0.0343999,
        0.0343269,
        0.0348646,
        0.0353195,
        0.0356314,
        0.0353108,
        0.0344765,
        0.0333179,
        0.0322872,
        0.0321052,
        0.0319564,
        0.0320929,
        0.0322683,
        0.0330331,
        0.0344833,
        0.0395027,
        0.0518801,
        0.0515751,
        0.0465092,
        0.0458185,
        0.0427736,
        0.0406953,
        0.0394549,
        0.0384481,
        0.0364687,
        0.0342645,
        0.0320044,
        0.0306869,
        0.0304742,
        0.0301912,
        0.0296684,
        0.0296517,
        0.0292715,
        0.0290072,
        0.0293004,
        0.0299462,
        0.0310549,
        0.0329613,
        0.0346271,
        0.0357948,
        0.0355669,
        0.0343869,
        0.0350443,
        0.0330292,
        0.0306668,
        0.0303651,
        0.0304442,
        0.0310097,
        0.0318456,
        0.0321194,
        0.0332185,
        0.0354915,
        0.0389052,
        0.0428697,
        0.0455394,
        0.0452204,
        0.0425627,
        0.0420201,
        0.0392307,
        0.0350795,
        0.0343799,
        0.0342997,
        0.0354107,
        0.0384842,
        0.0430929,
        0.0483879,
        0.0511897,
        0.0484526,
        0.0436553,
        0.0393261,
        0.0364965,
        0.0359007,
        0.0360314,
        0.0360435,
        0.0355838,
        0.035504,
        0.0347734,
        0.0346437,
        0.034225,
        0.0327055,
        0.0322827,
        0.0324863,
        0.0331757,
        0.0353834,
        0.0375159,
        0.0388989,
        0.039466,
        0.0376705,
        0.0345287,
        0.0326871,
        0.0320151,
        0.0320228,
        0.0325441,
        0.0329358,
        0.0336759,
        0.0349572,
        0.0351678,
        0.0369519,
        0.039773,
        0.0448342,
        0.0532468,
        0.0642312,
        0.073466,
        0.0740428,
        0.0665097,
        0.055713,
        0.0478974,
        0.0491405,
        0.0458841,
        0.0381777,
        0.0390182,
        0.0371345,
        0.0348957,
        0.0339546,
        0.0358063,
        0.0361787,
        0.0333953,
        0.0333657,
        0.0341058,
        0.0352804,
        0.0362439,
        0.0366501,
        0.0362919,
        0.0353831,
        0.034645,
        0.0387949,
        0.0428651,
        0.0444577,
        0.0527009,
        0.0587783,
        0.0602437,
        0.0538809,
        0.0461728,
        0.0395346,
        0.0360245,
        0.0342806,
        0.0338292,
        0.0359835,
        0.0370492,
        0.0351281,
        0.0358667,
        0.0431252,
        0.0430909,
        0.0363126,
        0.0363212,
        0.0364398,
        0.0381471,
        0.0393474,
        0.0410299,
        0.0435302,
        0.045492,
        0.0481348,
        0.0508618,
        0.0531795,
        0.0560299,
        0.0578521,
        0.0561526,
        0.0540092,
        0.0503209,
        0.0467583,
        0.0427439,
        0.039926,
        0.0382059,
        0.0375611,
        0.0384332,
        0.0405421,
        0.0433239,
        0.0454577,
        0.0451251,
        0.0433417,
        0.0383321,
        0.0357496,
        0.0348625,
        0.0341477,
        0.0337356,
        0.0336102,
        0.0337538,
        0.0338774,
        0.0348596,
        0.0354828,
        0.0354527,
        0.0351856,
        0.035069,
        0.0355216,
        0.0365916,
        0.0386462,
        0.0428631,
        0.0486817,
        0.0553567,
        0.0614621,
        0.0617049,
        0.0575342,
        0.0500433,
        0.0434208,
        0.040167,
        0.0394797,
        0.0401808,
        0.040844,
        0.0408709,
        0.0400901,
        0.0388313,
        0.0377986,
        0.0380006,
        0.038414,
        0.0391353,
        0.039578,
        0.0401436,
        0.0396822,
        0.0398927,
        0.0412931,
        0.0400833,
        0.0401642,
        0.0410848,
        0.0429503,
        0.0460675,
        0.0492008,
        0.057552,
        0.0601474,
        0.0587746,
        0.0638601,
        0.075581,
        0.089854,
        0.0943636,
        0.0911481,
        0.074752,
        0.0629447,
        0.0571804,
        0.0565207,
        0.0589139,
        0.0635235,
        0.0689023,
        0.0751212,
        0.0821531,
        0.0924477,
        0.107982,
        0.126759,
        0.158861,
        0.211278,
        0.226068,
        0.167817,
        0.128909,
        0.106841,
        0.0929854,
        0.0844612,
        0.0777722,
        0.068072,
        0.061671,
        0.0582592,
        0.054392,
        0.0524195,
        0.0490093,
        0.0496118,
        0.0485734,
        0.0451963,
        0.0441319,
        0.0439043,
        0.0435417,
        0.0420363,
        0.0415598,
        0.0415754,
        0.0423264,
        0.0434317,
        0.0479224,
        0.052351,
        0.0505732,
        0.0534966,
        0.0557494,
        0.056783,
        0.0552517,
        0.0540553,
        0.0563957,
        0.0635385,
        0.066254,
        0.0625686,
        0.0594075,
        0.0531028,
        0.0475461,
        0.0461241,
        0.0494521,
        0.0572753,
        0.0651009,
        0.0692839,
        0.0683692,
        0.0635553,
        0.0550682,
        0.0548846,
        0.0520251,
        0.0470382,
        0.0465101,
        0.0448054,
        0.0432517,
        0.0413753,
        0.0403015,
        0.0390298,
        0.0386879,
        0.0388589,
        0.0395406,
        0.0400471,
        0.0394219,
        0.0387939,
        0.0378913,
        0.0363707,
        0.0359716,
        0.0360868,
        0.0354556,
        0.0361088,
        0.0363968,
        0.0364164,
        0.0370359,
        0.0368062,
        0.0369774,
        0.0372516,
        0.037627,
        0.0375629,
        0.0383875,
        0.038734,
        0.03907,
        0.0411685,
        0.0453723,
        0.0518113,
        0.0611772,
        0.0736315,
        0.0893486,
        0.0876214,
        0.073986,
        0.0654227,
        0.0564302,
        0.0515457,
        0.0507068,
        0.0522431,
        0.0545969,
        0.0565197,
        0.0574641,
        0.0568854,
        0.0543796,
        0.0520597,
        0.0489077,
        0.0455521,
        0.0429689,
        0.0411357,
        0.040077,
        0.0388417,
        0.0381012,
        0.0373398,
        0.0373757,
        0.036818,
        0.0368036,
        0.0367889,
        0.036949,
        0.0390468,
        0.0428213,
        0.048873,
        0.053233,
        0.0539148,
        0.0515393,
        0.0452957,
        0.0408808,
        0.037718,
        0.0363903,
        0.0365133,
        0.03718,
        0.0380821,
        0.0447046,
        0.0427092,
        0.0393833,
        0.0412943,
        0.0397962,
        0.0396683,
        0.0399154,
        0.0388537,
        0.0375427,
        0.0362642,
        0.0360672,
        0.0362564,
        0.0367944,
        0.0382126,
        0.0364395,
        0.0383831,
        0.0396776,
        0.0409925,
        0.0436222,
        0.0472459,
        0.048222,
        0.0454413,
        0.0438647,
        0.0429466,
        0.0426832,
        0.0443472,
        0.0491112,
        0.0550256,
        0.0592255,
        0.0584744,
        0.0537115,
        0.0472086,
        0.043123,
        0.0400324,
        0.03921,
        0.0386884,
        0.0392413,
        0.041374,
        0.0465771,
        0.0458575,
        0.0454755,
        0.0455704,
        0.0430645,
        0.0416246,
        0.0409523,
        0.0411085,
        0.0411373,
        0.043926,
        0.0492447,
        0.0568997,
        0.0611399,
        0.0600019,
        0.0549963,
        0.0475479,
        0.0422094,
        0.0403859,
        0.0396683,
        0.0399955,
        0.0400043,
        0.0396248,
        0.0396216,
        0.0378127,
        0.0369587,
        0.0387641,
        0.0389125,
        0.0442161,
        0.0409706,
        0.037137,
        0.0381826,
        0.0392051,
        0.039895,
        0.040601,
        0.0408734,
        0.0411716,
        0.0429006,
        0.046355,
        0.0510218,
        0.0535774,
        0.0548575,
        0.052449,
        0.0473304,
        0.0512913,
        0.0480931,
        0.0405375,
        0.0408857,
        0.0413074,
        0.0433178,
        0.0522426,
        0.0695149,
        0.0688187,
        0.0788441,
        0.0887375,
        0.0864913,
        0.0766154,
        0.0603398,
        0.0501516,
        0.0451304,
        0.0421009,
        0.0405271,
        0.0398841,
        0.0400648,
        0.0414791,
        0.0422497,
        0.0429967,
        0.0427544,
        0.0418231,
        0.0414234,
        0.0413007,
        0.0434202,
        0.048339,
        0.0555854,
        0.0634671,
        0.0667865,
        0.0640054,
        0.0556257,
        0.0501588,
        0.0480437,
        0.0487838,
        0.0497954,
        0.050586,
        0.0498404,
        0.0488134,
        0.0478408,
        0.0455638,
        0.0466247,
        0.0466471,
        0.042399,
        0.0415792,
        0.041453,
        0.0411825,
        0.040316,
        0.0398981,
        0.0401587,
        0.0409804,
        0.0425169,
        0.0463382,
        0.0494527,
        0.0535739,
        0.0558822,
        0.0555247,
        0.0522907,
        0.0473935,
        0.0452967,
        0.0453297,
        0.0453622,
        0.0459133,
        0.0488744,
        0.0544259,
        0.0651692,
        0.0734094,
        0.0769338,
        0.0753537,
        0.0641056,
        0.0660733,
        0.0737021,
        0.0789613,
        0.0812411,
        0.0772724,
        0.0686607,
        0.062023,
        0.0600276,
        0.0618013,
        0.0636525,
        0.0620315,
        0.0618609,
        0.0603916,
        0.058696,
        0.0564744,
        0.052493,
        0.0511333,
        0.0495128,
        0.0485174,
        0.0478256,
        0.0480981,
        0.0486632,
        0.0486768,
        0.0481726,
        0.0480625,
        0.0468936,
        0.0477092,
        0.047642,
        0.0471273,
        0.047042,
        0.0476242,
        0.0491419,
        0.0499897,
        0.0512286,
        0.0516095,
        0.0529897,
        0.0540604,
        0.0530741,
        0.0544859,
        0.0553051,
        0.0558701,
        0.0593951,
        0.065139,
        0.0692831,
        0.0806537,
        0.0914376,
        0.100286,
        0.113016,
        0.136863,
        0.148474,
        0.139773,
        0.147846,
        0.150416,
        0.145727,
        0.135578,
        0.145617,
        0.159422,
        0.181245,
        0.224313,
        0.261904,
        0.226199,
        0.211762,
        0.198416,
        0.198908,
        0.166403,
        0.147875,
        0.117563,
        0.0975118,
        0.087276,
        0.0798287,
        0.0748015,
        0.0721503,
        0.0689048,
        0.0665686,
        0.0647595,
        0.0636367,
        0.061863,
        0.060152,
        0.0602955,
        0.0603746,
        0.0600795,
        0.0589469,
        0.0588241,
        0.057795,
        0.0588594,
        0.0618804,
        0.0650457,
        0.0742197,
        0.068362,
        0.0639619,
        0.0591677,
        0.0548427,
        0.0529761,
        0.0520567,
        0.0515673,
        0.0532781,
        0.0536164,
        0.0554579,
        0.0587397,
        0.0664005,
        0.0747334,
        0.0790495,
        0.0795176,
        0.0763747,
        0.0664115,
        0.0597839,
        0.0576937,
        0.0563209,
        0.0563813,
        0.0560451,
        0.0559001,
        0.0559543,
        0.0555711,
        0.055509,
        0.0558865,
        0.0570692,
        0.0577146,
        0.0612352,
        0.0682414,
        0.0776203,
        0.0870756,
        0.0893816,
        0.0839443,
        0.0727002,
        0.0616151,
        0.0560452,
        0.0538846,
        0.0509711,
        0.0497907,
        0.0496676,
        0.0502124,
        0.0489726,
        0.0483941,
        0.0478664,
        0.0482292,
        0.0471636,
        0.0480254,
        0.0478367,
        0.0481525,
        0.0481046,
        0.0484747,
        0.0490009,
        0.0495661,
        0.0500087,
        null,
        0.0503864,
        0.0495814,
        0.0480609,
        0.0466081,
        0.0453196,
        0.0442555,
        0.0435127,
        0.0430124,
        0.0429187,
        0.0424776,
        0.0423766,
        0.0431042,
        0.0433023,
        0.0434681,
        0.0437887,
        0.0441831,
        0.0450737,
        0.0469852,
        0.0505712,
        0.0572965,
        0.0655853,
        0.0734132,
        0.0763143,
        0.0715713,
        0.0643713,
        0.0599503,
        0.056474,
        0.0549101,
        0.0555162,
        0.0577562,
        0.0599165,
        0.0624565,
        0.0660567,
        0.0707759,
        0.0762359,
        0.0841528,
        0.0956634,
        0.111099,
        0.131223,
        0.15782,
        0.205329,
        0.195858,
        0.172121,
        0.162224,
        0.15847,
        0.153782,
        0.136075,
        0.108439,
        0.0862881,
        0.0741423,
        0.0793938,
        0.0821067,
        0.0641624,
        0.0575348,
        0.0558162,
        0.0563129,
        0.0595702,
        0.0623692,
        0.0616854,
        0.0576961,
        0.0524449,
        0.0487708,
        0.0464773,
        0.0454033,
        0.0441015,
        0.0431533,
        0.0424644,
        0.0416928,
        0.0412995,
        0.0408579,
        0.0413255,
        0.0422218,
        0.0452629,
        0.051964,
        0.0637873,
        0.0773336,
        0.0818099,
        0.072561,
        0.0574609,
        0.0468627,
        0.0417385,
        0.0394403,
        0.0386587,
        0.0375892,
        0.0364804,
        0.036164,
        0.0361895,
        0.0362858,
        0.0362389,
        0.0360926,
        0.0357413,
        0.0353331,
        0.035298,
        0.0353684,
        0.0359115,
        0.03625,
        0.0358861,
        0.0352175,
        0.0343961,
        0.0342881,
        0.0341832,
        0.0343749,
        0.0346667,
        0.034477,
        0.0344141,
        0.0348303,
        0.0352551,
        0.0356209,
        0.0361,
        0.0362139,
        0.0355072,
        0.0350853,
        0.0354093,
        0.0362799,
        0.0379623,
        0.0431757,
        0.0500866,
        0.0552913,
        0.0559648,
        0.0504216,
        0.0435337,
        0.0401795,
        0.0408525,
        0.0456006,
        0.0537407,
        0.060523,
        0.0623224,
        0.0580172,
        0.0493251,
        0.0432982,
        0.0397988,
        0.0378134,
        0.0365672,
        0.0357846,
        0.0377193,
        0.0373017,
        0.0341145,
        0.0335437,
        0.0331732,
        0.0331931,
        0.0335518,
        0.0339179,
        0.0339738,
        0.0345458,
        0.0350312,
        0.0358301,
        0.0362908,
        0.0371608,
        0.0387205,
        0.0405388,
        0.0424407,
        0.0436881,
        0.0448425,
        0.045856,
        0.0489207,
        0.0547354,
        0.0594781,
        0.0588036,
        0.052783,
        0.0442132,
        0.0392588,
        0.0411354,
        0.0393834,
        0.0348513,
        0.0346377,
        0.0352965,
        0.0377457,
        0.0413464,
        0.0444167,
        0.0448929,
        0.0423558,
        0.0382858,
        0.0350781,
        0.0337067,
        0.0331465,
        0.0325631,
        0.0333886,
        0.0332946,
        0.031995,
        0.0322075,
        0.0337111,
        0.0355483,
        0.036721,
        0.0375666,
        0.037698,
        0.0380862,
        0.039193,
        0.0433362,
        0.0555748,
        0.0586647,
        0.0485235,
        0.0428218,
        0.0379067,
        0.0365782,
        0.0391885,
        0.0450676,
        0.0518456,
        0.0554025,
        0.0521683,
        0.0444324,
        0.038297,
        0.0349863,
        0.0335329,
        0.0327359,
        0.0326158,
        0.0324531,
        0.0329772,
        0.0331394,
        0.0336447,
        0.0340196,
        0.0346423,
        0.0352631,
        0.0357166,
        0.0364414,
        0.0372125,
        0.0377898,
        0.0375567,
        0.0367426,
        0.0355639,
        0.0355075,
        0.0356691,
        0.0360527,
        0.0413692,
        0.0420332,
        0.0380692,
        0.0398491,
        0.0434298,
        0.0495557,
        0.0560809,
        0.0613799,
        0.0646812,
        0.0631326,
        0.0588064,
        0.0526535,
        0.0472978,
        0.0453044,
        0.0448847,
        0.044657,
        0.0434743,
        0.0421891,
        0.0413614,
        0.0404966,
        0.0410803,
        0.0405633,
        0.0386532,
        0.0383682,
        0.0379759,
        0.0373784,
        0.0363593,
        0.0355856,
        0.0354284,
        0.0353384,
        0.0354501,
        0.0369673,
        0.0412239,
        0.0482591,
        0.0561509,
        0.063091,
        0.0624043,
        0.0556096,
        0.0496911,
        0.0471393,
        0.0467254,
        0.0466005,
        0.0476407,
        0.0494423,
        0.0523916,
        0.059209,
        0.0658375,
        0.0689729,
        0.0660019,
        0.0585178,
        0.0523718,
        0.0560598,
        0.0617933,
        0.0633077,
        0.0642872,
        0.0596355,
        0.0522266,
        0.0491037,
        0.0514605,
        0.0559705,
        0.0595677,
        0.0596121,
        0.0556033,
        0.0510536,
        0.0489081,
        0.0484825,
        0.0497438,
        0.0520077,
        0.0534564,
        0.0563576,
        0.0589043,
        0.0607231,
        0.0623935,
        0.0635495,
        0.0671268,
        0.0743503,
        0.0870781,
        0.113984,
        0.156266,
        0.225171,
        0.246668,
        0.163339,
        0.120808,
        0.0954065,
        0.0789445,
        0.0764081,
        0.0692527,
        0.058643,
        0.0546455,
        0.0521176,
        0.0505946,
        0.048846,
        0.0466178,
        0.0448847,
        0.0434366,
        0.0421924,
        0.0412483,
        0.0399762,
        0.0392681,
        0.0388092,
        0.0389366,
        0.0391033,
        0.0389245,
        0.0383699,
        0.0375258,
        0.0367681,
        0.0364048,
        0.0358622,
        0.0358681,
        0.0372198,
        0.0397731,
        0.0414642,
        0.0451928,
        0.0478584,
        0.0489712,
        0.049244,
        0.0508127,
        0.0533372,
        0.0544881,
        0.0515974,
        0.0461198,
        0.0410397,
        0.0384724,
        0.0383492,
        0.0394953,
        0.0426195,
        0.0486704,
        0.0558889,
        0.061006,
        0.0594184,
        0.0523701,
        0.0457754,
        0.0415234,
        0.0390366,
        0.0372434,
        0.0360541,
        0.035304,
        0.0345702,
        0.0344174,
        0.0348213,
        0.0351054,
        0.0361421,
        0.0374407,
        0.0380694,
        0.0387662,
        0.0389405,
        0.0385218,
        0.037897,
        0.0375569,
        0.0374178,
        0.0378244,
        0.0384878,
        0.039562,
        0.0417028,
        0.0445668,
        0.0472949,
        0.0487768,
        0.0495402,
        0.0504867,
        0.0533798,
        0.0602667,
        0.0679161,
        0.0718023,
        0.0699749,
        0.0653185,
        0.061293,
        0.0604915,
        0.0641862,
        0.0688866,
        0.0706857,
        0.0682879,
        0.0619383,
        0.0554272,
        0.0534153,
        0.0549409,
        0.0561835,
        0.0577866,
        0.0586609,
        0.0590028,
        0.0590254,
        0.0586572,
        0.0573703,
        0.0548031,
        0.0528829,
        0.0523839,
        0.0534959,
        0.0553122,
        0.0587629,
        0.0612079,
        0.0631781,
        0.0641974,
        0.0645381,
        0.0673653,
        0.0739302,
        0.087072,
        0.105903,
        0.128065,
        0.134595,
        0.123044,
        0.105598,
        0.0874512,
        0.0798613,
        0.0795425,
        0.0738151,
        0.0771981,
        0.0805587,
        0.0843807,
        0.0868389,
        0.0883305,
        0.0884388,
        0.0891534,
        0.0941926,
        0.101504,
        0.107943,
        0.115848,
        0.121344,
        0.121,
        0.122313,
        0.128304,
        0.142029,
        0.157621,
        0.164459,
        0.166798,
        0.177771,
        0.195189,
        0.213798,
        0.235336,
        0.26631,
        0.331034,
        0.187288,
        0.162479,
        0.128941,
        0.101626,
        0.0868926,
        0.0765346,
        0.0682661,
        0.0613805,
        0.0565169,
        0.0521747,
        0.0490504,
        0.0466006,
        0.0447674,
        0.0436142,
        0.0428648,
        0.042169,
        0.0433151,
        0.0458918,
        0.053838,
        0.0605352,
        0.0604457,
        0.0569647,
        0.0487146,
        0.0411495,
        0.0364855,
        0.0345223,
        0.0339776,
        0.034259,
        0.0348195,
        0.0358834,
        0.0370682,
        0.0368044,
        0.0355269,
        0.0341255,
        0.0338338,
        0.0349235,
        0.0374468,
        0.042584,
        0.0501752,
        0.0581696,
        0.0661151,
        0.0727328,
        0.0753483,
        0.0738828,
        0.0660269,
        0.0528862,
        0.0419238,
        0.0357848,
        0.0329694,
        0.0315502,
        0.0308353,
        0.030564,
        0.0302928,
        0.0301774,
        0.0300323,
        0.0300957,
        0.0310445,
        0.0306246,
        0.0303582,
        0.0305048,
        0.0314806,
        0.0339283,
        0.0387427,
        0.0452243,
        0.049429,
        0.0485451,
        0.0437534,
        0.0381513,
        0.0361226,
        0.0380883,
        0.0411481,
        0.0434475,
        0.0419966,
        0.037735,
        0.0330778,
        0.0316041,
        0.0351691,
        0.0330445,
        0.0284004,
        0.028349,
        0.0283182,
        0.0283338,
        0.0283168,
        0.0282775,
        0.0284074,
        0.028375,
        0.0284573,
        0.0285281,
        0.0284471,
        0.0314294,
        0.032418,
        0.0292535,
        0.0295311,
        0.0296463,
        0.0298759,
        0.0302451,
        0.0313204,
        0.0325118,
        0.0331369,
        0.0348308,
        0.0379445,
        0.0412618,
        0.0440967,
        0.0444347,
        0.0427928,
        0.0409357,
        0.0404171,
        0.0409725,
        0.0419496,
        0.0427266,
        0.0453487,
        0.0494928,
        0.0538748,
        0.0560446,
        0.0541262,
        0.048184,
        0.0422255,
        0.0383977,
        0.0369984,
        0.0364854,
        0.0369094,
        0.0387677,
        0.0427456,
        0.0479201,
        0.0505068,
        0.0492349,
        0.0507506,
        0.0433136,
        0.0332697,
        0.0313248,
        0.0300698,
        0.0295317,
        0.0290381,
        0.028911,
        0.0289831,
        0.028805,
        0.0288193,
        0.0285264,
        0.0284641,
        0.0285593,
        0.028796,
        0.0294241,
        0.0300055,
        0.0304668,
        0.0305333,
        0.0299837,
        0.0294355,
        0.0289246,
        0.0289941,
        0.0292708,
        0.0293628,
        0.0294375,
        0.0300663,
        0.0313436,
        0.0332949,
        0.0348568,
        0.0363486,
        0.03683,
        0.0368673,
        0.0387712,
        0.0440426,
        0.0515087,
        0.0581959,
        0.0708718,
        0.0647869,
        0.0533373,
        0.0482325,
        0.0442231,
        0.0399012,
        0.0383132,
        0.0382706,
        0.0390261,
        0.0403912,
        0.0422103,
        0.0449143,
        0.0489578,
        0.0552105,
        0.0616382,
        0.0681672,
        0.0689361,
        0.0644703,
        0.0572996,
        0.0491192,
        0.0443904,
        0.0417106,
        0.0400216,
        0.0388696,
        0.0381078,
        0.0382122,
        0.0389586,
        0.0411001,
        0.0457042,
        0.0526898,
        0.0611447,
        0.0683266,
        0.068259,
        0.0591011,
        0.0492517,
        0.0417503,
        0.0362658,
        0.0333235,
        0.0320369,
        0.0314173,
        0.0321033,
        0.0310283,
        0.0308278,
        0.0311058,
        0.0313284,
        0.031814,
        0.0323994,
        0.0384247,
        0.0384755,
        0.0324128,
        0.0317649,
        0.033932,
        0.0335942,
        0.030747,
        0.030973,
        0.0310685,
        0.0313799,
        0.0316993,
        0.0329761,
        0.0354947,
        0.0383401,
        0.0411012,
        0.0415322,
        0.0383581,
        0.0353792,
        0.033273,
        0.0325619,
        0.0321749,
        0.0322009,
        0.0322499,
        0.0322718,
        0.0329505,
        0.0347015,
        0.0375051,
        0.0418778,
        0.0459521,
        0.0459529,
        0.0429139,
        0.038505,
        0.0353672,
        0.0340995,
        0.0335289,
        0.0335415,
        0.033552,
        0.0337281,
        0.0344898,
        0.035298,
        0.0360211,
        0.0371016,
        0.0372776,
        0.0370015,
        0.0367617,
        0.0365687,
        0.0369552,
        0.0375025,
        0.0391158,
        0.0402924,
        0.040452,
        0.0400754,
        0.0388504,
        0.0384229,
        0.0385542,
        0.039196,
        0.0446356,
        0.0510838,
        0.0544731,
        0.0606653,
        0.0616437,
        0.0559533,
        0.0495751,
        0.0453745,
        0.0413047,
        0.0410894,
        0.0411724,
        0.0413194,
        0.0421495,
        0.0428708,
        0.0448155,
        0.0480937,
        0.0515866,
        0.0533918,
        0.0544166,
        0.0527969,
        0.0512781,
        0.051726,
        0.0538527,
        0.0578863,
        0.0617824,
        0.0633468,
        0.0626193,
        0.0623293,
        0.0673359,
        0.078826,
        0.0980216,
        0.12107,
        0.12758,
        0.115432,
        0.0989901,
        0.0885249,
        0.088105,
        0.0951002,
        0.113036,
        0.140754,
        0.18933,
        0.232282,
        0.163718,
        0.123707,
        0.102061,
        0.0897651,
        0.084027,
        0.0810871,
        0.082634,
        0.0880685,
        0.0979089,
        0.106883,
        0.120284,
        0.114152,
        0.0965715,
        0.0913838,
        0.0944128,
        0.0969592,
        0.100071,
        0.106185,
        0.112859,
        0.135042,
        0.153173,
        0.149607,
        0.151425,
        0.157635,
        0.165323,
        0.180148,
        0.184386,
        0.19086,
        0.20617,
        0.398912,
        0.261348,
        0.200294,
        0.148035,
        0.119704,
        0.104123,
        0.0941323,
        0.092962,
        0.0870515,
        0.0857579,
        0.0732501,
        0.0695969,
        0.066453,
        0.0643585,
        0.0623238,
        0.0600515,
        0.0604047,
        0.063056,
        0.0597277,
        0.0591598,
        0.0575846,
        0.0564266,
        0.0559184,
        0.0553179,
        0.0557556,
        0.0599546,
        0.0660688,
        0.0730243,
        0.0741528,
        0.069099,
        0.0613814,
        0.0555274,
        0.052313,
        0.0521139,
        0.0554717,
        0.0606479,
        0.0633971,
        0.0612825,
        0.0554427,
        0.0496954,
        0.0459576,
        0.0443269,
        0.0430657,
        0.0422787,
        0.0415981,
        0.0427481,
        0.0442171,
        0.0432975,
        0.0400465,
        0.0396931,
        0.0397964,
        0.0389456,
        0.0387081,
        0.03881,
        0.0393645,
        0.0402181,
        0.0423523,
        0.0449683,
        0.0470542,
        0.0458964,
        0.0558802,
        0.049171,
        0.0378023,
        0.0371228,
        0.037011,
        0.0360748,
        0.0367854,
        0.03663,
        0.0366361,
        0.0370269,
        0.0368688,
        0.0371378,
        0.0370834,
        0.0369651,
        0.0371105,
        0.0371683,
        0.0387128,
        0.0421159,
        0.0455239,
        0.046699,
        0.0443887,
        0.0406286,
        0.0372208,
        0.0362882,
        0.0360029,
        0.0365408,
        0.037028,
        0.0363243,
        0.0356048,
        0.0395312,
        0.039678,
        0.037376,
        0.036985,
        0.0356668,
        0.0352671,
        0.0346713,
        0.0349456,
        0.0350437,
        0.0350145,
        0.0355641,
        0.0357942,
        0.0363525,
        0.0366844,
        0.0373713,
        0.0379208,
        0.0389879,
        0.0407201,
        0.0439214,
        0.0499286,
        0.0578015,
        0.0655283,
        0.0699673,
        0.0721195,
        0.0697217,
        0.0661604,
        0.0668109,
        0.0676875,
        0.0709806,
        0.0777815,
        0.0888995,
        0.107774,
        0.134448,
        0.173173,
        0.187438,
        0.172394,
        0.147152,
        0.11102,
        0.0887877,
        0.0788595,
        0.0745432,
        0.0700317,
        0.0664409,
        0.0629052,
        0.0556954,
        0.0492636,
        0.0456348,
        0.0431362,
        0.0411964,
        0.0402788,
        0.0399255,
        0.0397428,
        0.0396947,
        0.0411253,
        0.0451378,
        0.0507189,
        0.059344,
        0.0671158,
        0.0698831,
        0.0644799,
        0.0559816,
        0.0504001,
        0.0481659,
        0.0494959,
        0.0511324,
        0.0506642,
        0.0467479,
        0.0408038,
        0.0368424,
        0.0346898,
        0.0339557,
        0.034057,
        0.0343102,
        0.0345398,
        0.0351964,
        0.036061,
        0.0361137,
        0.0418542,
        0.0422554,
        0.0372355,
        0.0420888,
        0.0460363,
        0.0459334,
        0.0463093,
        0.0438351,
        0.039214,
        0.0359632,
        0.0345671,
        0.0340285,
        0.0337327,
        0.0337495,
        0.0332869,
        0.0331022,
        0.0334103,
        0.0338044,
        0.033884,
        0.0342725,
        0.0357085,
        0.0379196,
        0.0403624,
        0.0418849,
        0.0420617,
        0.0414682,
        0.0384186,
        0.0363431,
        0.0360376,
        0.0362174,
        0.0375716,
        0.0384423,
        0.0388335,
        0.0383744,
        0.038346,
        0.0386342,
        0.0394559,
        0.0407805,
        0.041677,
        0.0429016,
        0.0423006,
        0.040633,
        0.0401038,
        0.0405631,
        0.0431759,
        0.0480976,
        0.0536047,
        0.0557458,
        0.0540127,
        0.0502008,
        0.0463408,
        0.0458259,
        0.0464715,
        0.0443899,
        0.0422002,
        0.0431055,
        0.0466706,
        0.0529586,
        0.060445,
        0.0655231,
        0.0669649,
        0.0614446,
        0.0536813,
        0.0501345,
        0.049033,
        0.0493571,
        0.0502765,
        0.0513039,
        0.0524908,
        0.0539292,
        0.0559829,
        0.0578226,
        0.060686,
        0.0634268,
        0.0665804,
        0.0732171,
        0.080492,
        0.0858829,
        0.0904368,
        0.0941631,
        0.0969992,
        0.102302,
        0.110743,
        0.122656,
        0.13385,
        0.153788,
        0.181686,
        0.214559,
        0.267617,
        0.338828,
        0.26134,
        0.209916,
        0.178179,
        0.153967,
        0.135339,
        0.120996,
        0.108629,
        0.0999432,
        0.093067,
        0.0866539,
        0.0828693,
        0.0789586,
        0.0782133,
        0.0782615,
        0.0818206,
        0.0848373,
        0.0937065,
        0.0999327,
        0.0991624,
        0.0900914,
        0.0818538,
        0.0800677,
        0.0962307,
        0.100982,
        0.088036,
        0.0966149,
        0.107557,
        0.127358,
        0.158346,
        0.202884,
        0.222941,
        0.195556,
        0.148088,
        0.102782,
        0.0880425,
        0.0757973,
        0.0672127,
        0.0612363,
        0.0567836,
        0.0545325,
        0.0550461,
        0.0561888,
        0.0557512,
        0.0542086,
        0.0509974,
        0.0475992,
        0.0446103,
        0.0421939,
        0.0422505,
        0.0411429,
        0.0400541,
        0.0401079,
        0.0424787,
        0.0416055,
        0.0383129,
        0.0366877,
        0.0376118,
        0.036989,
        0.0373089,
        0.0378195,
        0.0382082,
        0.038325,
        0.0383548,
        0.0382891,
        0.0375529,
        0.0366123,
        0.0369979,
        0.0386485,
        0.0420665,
        0.0451668,
        0.0461527,
        0.0452355,
        0.0420849,
        0.0380014,
        0.0356378,
        0.0351449,
        0.0351522,
        0.0396169,
        0.0400213,
        0.0365383,
        0.0371541,
        0.0372351,
        0.03708,
        0.0367667,
        0.0359557,
        0.0360054,
        0.0360553,
        0.0362688,
        0.0364557,
        0.043504,
        0.042781,
        0.0383914,
        0.039556,
        0.0416445,
        0.0439383,
        0.046165,
        0.0483466,
        0.0508859,
        0.0542513,
        0.0645165,
        0.0741151,
        0.068393,
        0.0669143,
        0.0640802,
        0.0651403,
        0.0702305,
        0.0764976,
        0.0884216,
        0.105035,
        0.125284,
        0.1576,
        0.219793,
        0.27652,
        0.189328,
        0.138232,
        0.10823,
        0.0893897,
        0.0810013,
        0.0752788,
        0.0714554,
        0.0638667,
        0.0549123,
        0.0483817,
        0.0448938,
        0.0429069,
        0.0413519,
        0.0396384,
        0.0386139,
        0.0384686,
        0.0380532,
        0.0371694,
        0.0378242,
        0.0384039,
        0.0400389,
        0.0408911,
        0.0375659,
        0.0368015,
        0.0363823,
        0.0373944,
        0.0399441,
        0.0440498,
        0.0496815,
        0.0556853,
        0.062597,
        0.0637305,
        0.061206,
        0.0633606,
        0.0622106,
        0.0564616,
        0.0477356,
        0.0422253,
        0.0385382,
        0.0357428,
        0.0379988,
        0.0386977,
        0.0351018,
        0.033818,
        0.0338398,
        0.0337815,
        0.0336784,
        0.0336845,
        0.0339237,
        0.0342294,
        0.0354026,
        0.0379761,
        0.0411791,
        0.0440919,
        0.0463792,
        0.0445529,
        0.0402538,
        0.0373031,
        0.0352968,
        0.0345888,
        0.0347444,
        0.0360139,
        0.0379573,
        0.0393493,
        0.0406265,
        0.0403538,
        0.0388719,
        0.0428605,
        0.0482262,
        0.0408811,
        0.0358107,
        0.0368884,
        0.0375007,
        0.0379359,
        0.0374022,
        0.0367678,
        0.0374536,
        0.0385055,
        0.0391916,
        0.0413174,
        0.043476,
        0.0457763,
        0.0474866,
        0.0475896,
        0.0483916,
        0.0494525,
        0.0512199,
        0.0558353,
        0.0626125,
        0.0626282,
        0.069249,
        0.0753744,
        0.0845558,
        0.0953445,
        0.110762,
        0.132839,
        0.163881,
        0.201254,
        0.325584,
        0.231593,
        0.185297,
        0.158373,
        0.133591,
        0.110809,
        0.0905773,
        0.0759058,
        0.0651533,
        0.0581142,
        0.0553683,
        0.0548554,
        0.0541108,
        0.0527461,
        0.0502856,
        0.0459345,
        0.042506,
        0.0406171,
        0.0390408,
        0.0382075,
        0.0380544,
        0.0373861,
        0.0371203,
        0.0366785,
        0.0350387,
        0.0348068,
        0.0345422,
        0.0341487,
        0.0339132,
        0.0340594,
        0.0338248,
        0.0336593,
        0.0336726,
        0.0334612,
        0.0335746,
        0.0337756,
        0.0337367,
        0.0335643,
        0.0339471,
        0.0377883,
        0.0384849,
        0.0364548,
        0.0383487,
        0.0421499,
        0.0461156,
        0.0466845,
        0.0439712,
        0.0403183,
        0.0378866,
        0.0365713,
        0.036193,
        0.0375032,
        0.0401883,
        0.0445224,
        0.0496152,
        0.0519617,
        0.0526133,
        0.0488979,
        0.0441846,
        0.0417391,
        0.0416024,
        0.0411785,
        0.0415562,
        0.0439612,
        0.0448031,
        0.0438592,
        0.0443033,
        0.0447931,
        0.0503432,
        0.0514101,
        0.0485634,
        0.0555389,
        0.0619609,
        0.0669732,
        0.0709585,
        0.0678812,
        0.0583792,
        0.0517905,
        0.0452904,
        0.0413741,
        0.0398695,
        0.0386891,
        0.0379821,
        0.0361112,
        0.0358871,
        0.0353562,
        0.0348703,
        0.0348926,
        0.0359773,
        0.0356577,
        0.0358086,
        0.0377067,
        0.0421133,
        0.0453671,
        0.0465606,
        0.0449451,
        0.0420046,
        0.0380622,
        0.0358735,
        0.0353018,
        0.0365422,
        0.044314,
        0.0456026,
        0.0401148,
        0.0391493,
        0.0373272,
        0.035895,
        0.0344995,
        0.0336415,
        0.0339513,
        0.0343889,
        0.0344032,
        0.0342043,
        0.0342552,
        0.0342439,
        0.0350862,
        0.0386466,
        0.0402426,
        0.0374285,
        0.0373122,
        0.0369131,
        0.0355338,
        0.0351904,
        0.0353316,
        0.0357989,
        0.0368659,
        0.0369368,
        0.0371556,
        0.0368004,
        0.036276,
        0.0361733,
        0.0357134,
        0.0356468,
        0.0361447,
        0.0392922,
        0.0434966,
        0.0450278,
        0.0470029,
        0.0466361,
        0.0435227,
        0.0399137,
        0.0376169,
        0.0364267,
        0.0358944,
        0.0355994,
        0.0353573,
        0.0359581,
        0.0364275,
        0.0368977,
        0.0376907,
        0.0386481,
        0.0404485,
        0.0416422,
        0.0420379,
        0.0414974,
        0.0397345,
        0.0381743,
        0.0373332,
        0.0391253,
        0.0418373,
        0.0375858,
        0.0386852,
        0.0411325,
        0.0451455,
        0.0502922,
        0.0555042,
        0.0580712,
        0.0567767,
        0.0524671,
        0.0489076,
        0.0472406,
        0.0488591,
        0.0509305,
        0.0529904,
        0.056635,
        0.0643332,
        0.0694358,
        0.0678792,
        0.0722965,
        0.077967,
        0.0798735,
        0.0823515,
        0.0896105,
        0.0999752,
        0.113661,
        0.136523,
        0.166145,
        0.225332,
        0.200647,
        0.147907,
        0.119957,
        0.10279,
        0.0892091,
        0.0805495,
        0.0715176,
        0.0664051,
        0.0623568,
        0.0601206,
        0.0580167,
        0.0560999,
        0.0529405,
        0.0510536,
        0.0498266,
        0.0486483,
        0.0468566,
        0.0457369,
        0.0449301,
        0.0482872,
        0.0529282,
        0.0479657,
        0.0526215,
        0.0601152,
        0.0711181,
        0.0796588,
        0.0785107,
        0.0694499,
        0.0589414,
        0.0506603,
        0.0453222,
        0.0446992,
        0.046369,
        0.0497574,
        0.051873,
        0.0516671,
        0.050048,
        0.0453605,
        0.0413084,
        0.0389509,
        0.038256,
        0.0379561,
        0.0434292,
        0.044477,
        0.0424743,
        0.0400276,
        0.0413248,
        0.0397289,
        0.0422191,
        0.0460441,
        0.0511868,
        0.0572481,
        0.0614217,
        0.0605134,
        0.0556831,
        0.0506863,
        0.0469054,
        0.0469753,
        0.0461939,
        0.0447493,
        0.0462691,
        0.048045,
        0.0503935,
        0.0551092,
        0.0600624,
        0.0630288,
        0.0650741,
        0.0648072,
        0.0624964,
        0.0586421,
        0.0549404,
        0.0516149,
        0.0493824,
        0.04788,
        0.0455633,
        0.0445733,
        0.0432,
        0.0412224,
        0.0405899,
        0.0404992,
        0.0418648,
        0.0427235,
        0.0401963,
        0.0402071,
        0.0398613,
        0.0396534,
        0.0403875,
        0.0396682,
        0.0407638,
        0.0433184,
        0.0459265,
        0.0492083,
        0.0509486,
        0.0504186,
        0.0481379,
        0.0441658,
        0.0420368,
        0.041054,
        0.0406744,
        0.0414253,
        0.0450983,
        0.0498375,
        0.0558936,
        0.0594037,
        0.0581292,
        0.0534991,
        0.0472524,
        0.0416888,
        0.0398479,
        0.0388226,
        0.0382208,
        0.0379274,
        0.0395022,
        0.0398058,
        0.0383436,
        0.038448,
        0.0382023,
        0.0379068,
        0.0382046,
        0.0388101,
        0.0379287,
        0.0375884,
        0.03786,
        0.0381116,
        0.0382619,
        0.0383954,
        0.0388018,
        0.0395832,
        0.0411294,
        0.0415486,
        0.0410561,
        0.0415247,
        0.0411378,
        0.040525,
        0.040374,
        0.0402256,
        0.0403787,
        0.0402701,
        0.0408352,
        0.0418659,
        0.0425153,
        0.0446329,
        0.0481066,
        0.0503748,
        0.0512871,
        0.0506445,
        0.0483353,
        0.0456484,
        0.0436974,
        0.0422973,
        0.0423047,
        0.0436813,
        0.0437502,
        0.0439807,
        0.04469,
        0.0461908,
        0.0489567,
        0.0547596,
        0.0595115,
        0.0594597,
        0.0578482,
        0.0553575,
        0.0510817,
        0.0486598,
        0.0476598,
        0.0482032,
        0.0490902,
        0.0501019,
        0.0513962,
        0.0550057,
        0.0575364,
        0.0602417,
        0.067792,
        0.0786988,
        0.0918529,
        0.101697,
        0.107291,
        0.105614,
        0.0976452,
        0.0957014,
        0.0940099,
        0.0934627,
        0.0981577,
        0.102662,
        0.114916,
        0.131798,
        0.15725,
        0.201239,
        0.199347,
        0.173479,
        0.164697,
        0.152371,
        0.140523,
        0.128151,
        0.111373,
        0.100092,
        0.0869286,
        0.0785458,
        0.0728897,
        0.0688272,
        0.0665706,
        0.0656624,
        0.0663988,
        0.0667106,
        0.0666998,
        0.0669873,
        0.0657147,
        0.0644936,
        0.0647908,
        0.0654214,
        0.0664076,
        0.0688052,
        0.0830591,
        0.0856111,
        0.0803468,
        0.0882693,
        0.107634,
        0.117566,
        0.11133,
        0.126612,
        0.147773,
        0.186944,
        0.329797,
        0.267029,
        0.259077,
        0.23608,
        0.262159,
        0.319174,
        0.250487,
        0.211297,
        0.17373,
        0.154281,
        0.133637,
        0.120981,
        0.109182,
        0.101402,
        0.09443,
        0.0953283,
        0.0972925,
        0.0977653,
        0.0938229,
        0.0868255,
        0.0776064,
        0.0691601,
        0.0658481,
        0.0640415,
        0.0614595,
        0.0595203,
        0.0577562,
        0.0570591,
        0.0560441,
        0.0550632,
        0.0545548,
        0.0537283,
        0.0583079,
        0.0570804,
        0.051159,
        0.0506909,
        0.0507537,
        0.0509427,
        0.0495725,
        0.049215,
        0.0490368,
        0.049573,
        0.0519538,
        0.0546915,
        0.0567311,
        0.0574335,
        0.0563839,
        0.052559,
        0.0492189,
        0.0472402,
        0.0468368,
        0.0470773,
        0.0466603,
        0.0469887,
        0.0469348,
        0.0478311,
        0.0489184,
        0.046919,
        0.0463111,
        0.0458019,
        0.0455125,
        0.0456504,
        0.0459724,
        0.0457793,
        0.0456757,
        0.0452781,
        0.045486,
        0.0455689,
        0.0456352,
        0.0456588,
        0.0472748,
        0.0479604,
        0.0499506,
        0.0554562,
        0.0599382,
        0.0623978,
        0.0636311,
        0.0602975,
        0.0548408,
        0.0522908,
        0.0544717,
        0.0584059,
        0.062762,
        0.0664655,
        0.0685713,
        0.0673626,
        0.0631277,
        0.0590235,
        0.0582333,
        0.0552427,
        0.055245,
        0.0542675,
        0.0549477,
        0.057312,
        0.0620101,
        0.0655519,
        0.0687863,
        0.0676528,
        0.0642747,
        0.0597708,
        0.05893,
        0.0609615,
        0.0606226,
        0.0597156,
        0.0593535,
        0.0586458,
        0.0598898,
        0.0627985,
        0.0675662,
        0.0707874,
        0.0726385,
        0.0700172,
        0.0661693,
        0.0638763,
        0.0642468,
        0.0645206,
        0.0660838,
        0.0690741,
        0.0752929,
        0.0819386,
        0.0864515,
        0.0935739,
        0.0943308,
        0.0921325,
        0.0906408,
        0.0903528,
        0.0900848,
        0.092468,
        0.0966692,
        0.103343,
        0.114703,
        0.127895,
        0.148692,
        0.181665,
        0.230558,
        0.307033,
        0.194001,
        0.159472,
        0.139385,
        0.129754,
        0.125165,
        0.117934,
        0.112115,
        0.102312,
        0.0881138,
        0.0769834,
        0.0714403,
        0.069253,
        0.0690101,
        0.071774,
        0.0756595,
        0.0794408,
        0.0788372,
        0.075449,
        0.0697376,
        0.0651054,
        0.0642472,
        0.0640719,
        0.0634751,
        0.0628431,
        0.0609897,
        0.0608497,
        0.0593362,
        0.0576501,
        0.0561378,
        0.0554997,
        null,
        0.200392,
        0.191179,
        0.189069,
        0.199462,
        0.220612,
        0.264623,
        0.217074,
        0.187497,
        0.17245,
        0.164442,
        0.166425,
        0.177551,
        0.198191,
        null,
        0.178616,
        0.158875,
        0.142545,
        0.13001,
        0.120306,
        0.107407,
        0.0991361,
        0.0911582,
        0.0854408,
        0.0813138,
        0.077616,
        0.0728714,
        0.0699139,
        0.0712979,
        0.0687678,
        0.0635904,
        0.0617137,
        0.061508,
        0.0610034,
        0.060241,
        0.0589898,
        0.0560886,
        0.0548066,
        0.0554246,
        0.0565876,
        0.0568535,
        0.0563529,
        0.0551052,
        0.0520282,
        0.0504437,
        0.0501714,
        0.0498379,
        0.049746,
        0.0501466,
        0.0508664,
        0.0508613,
        0.0510598,
        0.051062,
        0.0501999,
        0.0492155,
        0.0487773,
        0.0483294,
        0.0481114,
        0.0483766,
        0.0487458,
        0.0495027,
        0.0517042,
        0.054933,
        0.0578071,
        0.0629227,
        0.0700288,
        0.0766701,
        0.0816982,
        0.0793506,
        0.0720741,
        0.063918,
        0.0583175,
        0.0538556,
        0.0505054,
        0.0478611,
        0.0480604,
        0.0455,
        0.0434623,
        0.0425687,
        0.0421247,
        0.0422122,
        0.0426876,
        0.0427014,
        0.0431002,
        0.0432535,
        0.0444967,
        0.0456952,
        0.0462272,
        0.0457105,
        0.0446771,
        0.0433487,
        0.0424125,
        0.0418566,
        0.0419362,
        0.0417821,
        0.0411398,
        0.0407467,
        0.0410107,
        0.0420815,
        0.0446204,
        0.0484596,
        0.0520593,
        0.0538067,
        0.0524497,
        0.0493269,
        0.0474199,
        0.0466749,
        0.0488346,
        0.052607,
        0.055788,
        0.0580385,
        0.0594308,
        0.0611655,
        0.0636589,
        0.0665023,
        0.0687089,
        0.0693312,
        0.0662765,
        0.0617509,
        0.0578739,
        0.0551791,
        0.0525947,
        0.050866,
        0.0493119,
        0.047826,
        0.0464478,
        0.0445355,
        0.043024,
        0.0420923,
        0.0420309,
        0.041582,
        0.0429142,
        0.0414996,
        0.039591,
        0.0390699,
        0.0388716,
        0.0393345,
        0.0408234,
        0.0418511,
        0.0425397,
        0.0420967,
        0.0418673,
        0.0447916,
        0.04651,
        0.0433159,
        0.0417222,
        0.0393634,
        0.0377282,
        0.0369435,
        0.0372224,
        0.0381744,
        0.0392121,
        0.0395107,
        0.0399363,
        0.0404265,
        0.0403227,
        0.040556,
        0.0434942,
        0.0441575,
        0.0402336,
        0.0398933,
        0.0396281,
        0.040117,
        0.0402643,
        0.0408085,
        0.0416619,
        0.04295,
        0.0444284,
        0.0462016,
        0.0483847,
        0.0514161,
        0.055586,
        0.062056,
        0.0703121,
        0.0822478,
        0.0948373,
        0.100482,
        0.0950871,
        0.0817235,
        0.0711628,
        0.0654154,
        0.0618029,
        0.0606004,
        0.0567143,
        0.0504381,
        0.0473209,
        0.045739,
        0.0450893,
        0.0447099,
        0.0441841,
        0.0435837,
        0.0425603,
        0.0428962,
        0.0421584,
        0.0397817,
        0.039092,
        0.0389726,
        0.0385562,
        0.0381294,
        0.0384482,
        0.0395946,
        0.0421579,
        0.0437052,
        0.0432134,
        0.0423317,
        0.0441324,
        0.0453305,
        0.0434064,
        0.0445224,
        0.0434911,
        0.0406421,
        0.0386147,
        0.0379975,
        0.0376617,
        0.0380622,
        0.0392726,
        0.0408565,
        0.0425132,
        0.0437042,
        0.0447826,
        0.0447402,
        0.0440822,
        0.0438076,
        0.0447044,
        0.046296,
        0.0477291,
        0.0495033,
        0.0514712,
        0.0517895,
        0.0514305,
        0.0507107,
        0.0504694,
        0.0516991,
        0.0540143,
        0.0585955,
        0.0630998,
        0.0677192,
        0.0716725,
        0.0773635,
        0.0770441,
        0.0678748,
        0.0645824,
        0.0638521,
        0.0638784,
        0.064782,
        0.0635408,
        0.0592887,
        0.0559528,
        0.0537751,
        0.0530371,
        0.0526285,
        0.0525702,
        0.0534261,
        0.0544045,
        0.0558708,
        0.0580789,
        0.0606445,
        0.0625141,
        0.063648,
        0.0658894,
        0.067905,
        0.0682234,
        0.0700144,
        0.0746141,
        0.0775062,
        0.0804745,
        0.0830529,
        0.0865489,
        0.0872728,
        0.0905367,
        0.0932462,
        0.0984526,
        0.107554,
        0.115875,
        0.127368,
        0.144252,
        0.168753,
        0.196124,
        0.233843,
        0.277599,
        0.233487,
        0.206739,
        0.180912,
        0.165,
        0.149995,
        0.136307,
        0.133174,
        0.12699,
        0.119747,
        0.115464,
        0.111496,
        0.108087,
        0.101932,
        0.107841,
        0.106375,
        0.0942248,
        0.0916263,
        0.0876739,
        0.0820565,
        0.0788748,
        0.0759148,
        0.0737009,
        0.0726693,
        0.0714552,
        0.0703789,
        0.0698889,
        0.0690868,
        0.068853,
        0.0689807,
        0.0711582,
        0.0730365,
        0.0750178,
        0.0812328,
        0.0894086,
        0.0995407,
        0.135505,
        0.170648,
        0.191781,
        0.257433,
        0.177508,
        0.128742,
        0.102659,
        0.0869819,
        0.07817,
        0.0706809,
        0.0660931,
        0.06169,
        0.0584321,
        0.0555054,
        0.0544073,
        0.0531278,
        0.0527464,
        0.0546122,
        0.0555782,
        0.05321,
        0.0544826,
        0.0544763,
        0.0542621,
        0.0536878,
        0.051549,
        0.0493461,
        0.047795,
        0.04701,
        0.0465927,
        0.0467736,
        0.046097,
        0.0485952,
        0.0494724,
        0.0445492,
        0.0434085,
        0.0426799,
        0.0426633,
        0.0429869,
        0.0433842,
        0.0484364,
        0.049253,
        0.0452989,
        0.0459741,
        0.046893,
        0.0479599,
        0.0512672,
        0.0554769,
        0.060637,
        0.0667169,
        0.0758984,
        0.0885245,
        0.103666,
        0.127968,
        0.150048,
        0.158998,
        0.146944,
        0.129018,
        0.110243,
        0.0968925,
        0.0909358,
        0.0865618,
        0.0784683,
        0.0703766,
        0.0637527,
        0.058037,
        0.0574895,
        0.0548795,
        0.0478807,
        0.045529,
        0.0434487,
        0.0425061,
        0.047557,
        0.0457514,
        0.0402342,
        0.0400239,
        0.0393326,
        0.0390956,
        0.0392469,
        0.0397415,
        0.0402622,
        0.0431447,
        0.0459361,
        0.0491256,
        0.0505456,
        0.048885,
        0.0461404,
        0.0443482,
        0.0435212,
        0.0436228,
        0.044559,
        0.0470792,
        0.0528266,
        0.0572188,
        0.0584891,
        0.0627329,
        0.0654389,
        0.064982,
        0.0606692,
        0.0555535,
        0.0517305,
        0.0491454,
        0.0465411,
        0.0453658,
        0.04437,
        0.0441752,
        0.0437157,
        0.0428854,
        0.0423996,
        0.043931,
        0.0429877,
        0.0412673,
        0.0418353,
        0.0422914,
        0.0428455,
        0.0435089,
        0.0452507,
        0.0465852,
        0.0477777,
        0.0494229,
        0.0523276,
        0.0548081,
        0.0577739,
        0.0620288,
        0.0680315,
        0.0734157,
        0.0794377,
        0.0870168,
        0.0970627,
        0.108423,
        0.125028,
        0.147056,
        0.176959,
        0.217022,
        0.260532,
        0.279755,
        0.238553,
        0.18698,
        0.154945,
        0.1328,
        0.113805,
        0.101191,
        0.094236,
        0.0888683,
        0.0848161,
        0.0840839,
        0.0813915,
        0.0726515,
        0.0682178,
        0.0623764,
        0.0585102,
        0.0551973,
        0.0538637,
        0.0529487,
        0.0527485,
        0.0563718,
        0.0567762,
        0.0544132,
        0.0556609,
        0.0567421,
        0.0598685,
        0.0629625,
        0.0676959,
        0.0739066,
        0.0801147,
        0.0917474,
        0.112156,
        0.13893,
        0.176186,
        0.230971,
        0.31483,
        0.22247,
        0.166707,
        0.129059,
        0.103675,
        0.088375,
        0.0793597,
        0.0726032,
        0.068413,
        0.0654613,
        0.0638362,
        0.0626492,
        0.0598294,
        0.0553418,
        0.0522788,
        0.050397,
        0.0496577,
        0.0487739,
        0.0485485,
        0.0481584,
        0.0481005,
        0.0473188,
        0.0525217,
        0.0515721,
        0.0455484,
        0.0457314,
        0.0465573,
        0.0463399,
        0.0456859,
        0.044611,
        0.0469145,
        0.0436201,
        0.0400495,
        0.0389144,
        0.038297,
        0.041635,
        0.04157,
        0.0375195,
        0.0374939,
        0.0370784,
        0.0366197,
        0.036363,
        0.0366893,
        0.0361967,
        0.0367658,
        0.0370435,
        0.0391532,
        0.0403735,
        0.0411677,
        0.0445964,
        0.0480849,
        0.0519357,
        0.0563597,
        0.0596939,
        0.0623264,
        0.0623244,
        0.0574004,
        0.0522057,
        0.0480561,
        0.045247,
        0.042684,
        0.0413457,
        0.0408699,
        0.0400751,
        0.040163,
        0.0405343,
        0.0414754,
        0.0427911,
        0.0431433,
        0.0430823,
        0.0427541,
        0.0421731,
        0.041786,
        0.0412227,
        0.0411417,
        0.0420664,
        0.0434991,
        0.0458264,
        0.0482939,
        0.0513999,
        0.0544773,
        0.0562927,
        0.0556044,
        0.0536942,
        0.0512039,
        0.0483479,
        0.0430422,
        0.0407614,
        0.0389458,
        0.0378708,
        0.0369943,
        0.0360978,
        0.0358303,
        0.0363111,
        0.0365382,
        0.0363649,
        0.0356867,
        0.034859,
        0.0337135,
        0.0333513,
        0.0333336,
        0.033671,
        0.034494,
        0.0365147,
        0.037883,
        0.0394957,
        0.0431748,
        0.0449511,
        0.0422796,
        0.0411351,
        0.0395961,
        0.0387184,
        0.0384385,
        0.0383297,
        0.0387489,
        0.0399615,
        0.0412048,
        0.0423707,
        0.0431343,
        0.0440656,
        0.0439055,
        0.0420197,
        0.0403589,
        0.0388909,
        0.0391398,
        0.0402979,
        0.0409084,
        0.0407756,
        0.040312,
        0.040252,
        0.0401956,
        0.0400295,
        0.0397212,
        0.0387065,
        0.037479,
        0.0371615,
        0.0375643,
        0.038358,
        0.0392347,
        0.0409452,
        0.0428191,
        0.0444791,
        0.0456843,
        0.0460401,
        0.0454506,
        0.0461046,
        0.0468327,
        0.0474296,
        0.0478501,
        0.0477288,
        0.0479128,
        0.0482564,
        0.048017,
        0.0481258,
        0.0488636,
        0.0514541,
        0.054841,
        0.057439,
        0.0595053,
        0.0592435,
        0.0599327,
        0.0622987,
        0.0666429,
        0.0723167,
        0.0807316,
        0.0932969,
        0.108321,
        0.126587,
        0.157573,
        0.218762,
        0.185231,
        0.152514,
        0.1258,
        0.109532,
        0.0974826,
        0.0890091,
        0.0790781,
        0.0736175,
        0.0693278,
        0.0656249,
        0.0630616,
        0.0617,
        0.0584668,
        0.0564079,
        0.0536796,
        0.0520258,
        0.0509947,
        0.0507798,
        0.0487433,
        0.0462448,
        0.0459522,
        0.0475761,
        0.0490905,
        0.0500366,
        0.0498205,
        0.0479949,
        0.0449573,
        0.0422842,
        0.0400624,
        0.039102,
        0.03885,
        0.0389091,
        0.0384752,
        0.038756,
        0.0387699,
        0.0388728,
        0.0384564,
        0.0381589,
        0.0388243,
        0.0394016,
        0.0399457,
        0.0414188,
        0.0447102,
        0.0473676,
        0.0496526,
        0.0543818,
        0.0582951,
        0.060664,
        0.0601207,
        0.0578438,
        0.054184,
        0.0515423,
        0.0490998,
        0.0459229,
        0.0457538,
        0.044736,
        0.0423278,
        0.0429953,
        0.0457991,
        0.0457335,
        0.0422858,
        0.0430238,
        0.04504,
        0.0482783,
        0.0602886,
        0.06675,
        0.0631312,
        0.0640845,
        0.0612627,
        0.0593476,
        0.0533339,
        0.0489785,
        0.0462645,
        0.0430022,
        0.0410552,
        0.0402491,
        0.0390088,
        0.0385514,
        0.0377065,
        0.03757,
        0.0378178,
        0.0379102,
        0.0381842,
        0.0388047,
        0.0393422,
        0.0409295,
        0.0413841,
        0.0419539,
        0.0431416,
        0.0535285,
        0.0547776,
        0.046129,
        0.0446154,
        0.0413332,
        0.0383239,
        0.0366899,
        0.0362515,
        0.0355392,
        0.0354739,
        0.0381078,
        0.0375932,
        0.0354995,
        0.0364368,
        0.0400709,
        0.0414672,
        0.040324,
        0.0385435,
        0.0382834,
        0.0367448,
        0.0365867,
        0.0360507,
        0.0370877,
        0.0378121,
        0.0363353,
        0.0384026,
        0.0377694,
        0.0364299,
        0.0372516,
        0.0376917,
        0.0396283,
        0.0414677,
        0.0418034,
        0.0434011,
        0.0428191,
        0.0423726,
        0.04132,
        0.0410921,
        0.0412751,
        0.0430483,
        0.0439509,
        0.0469111,
        0.0478696,
        0.0493266,
        0.0491674,
        0.0476769,
        0.0453144,
        0.0430215,
        0.0428796,
        0.0444333,
        0.0449382,
        0.0461402,
        0.0457276,
        0.0464242,
        0.0459984,
        0.043835,
        0.0447804,
        0.0467441,
        0.0479603,
        0.0484519,
        0.0491452,
        0.0503129,
        0.0515353,
        0.0518119,
        0.0533834,
        0.0547408,
        0.0558907,
        0.0590482,
        0.0628549,
        0.0663262,
        0.0713064,
        0.0778825,
        0.0851171,
        0.0966848,
        0.111492,
        0.124919,
        0.15216,
        0.190195,
        0.254278,
        0.280672,
        0.206361,
        0.157297,
        0.131944,
        0.115048,
        0.101952,
        0.0984623,
        0.106999,
        0.0885267,
        0.0751192,
        0.0727076,
        0.0725495,
        0.0712089,
        0.0744192,
        0.079628,
        0.08552,
        0.0960871,
        0.109066,
        0.112234,
        0.13262,
        0.118232,
        0.0857303,
        0.0751124,
        0.0663742,
        0.0593072,
        0.0566278,
        0.0538403,
        0.0529652,
        0.051001,
        0.0506624,
        0.0511803,
        0.0556901,
        0.0583126,
        0.0550271,
        0.0560425,
        0.0547368,
        0.0521768,
        0.0504145,
        0.0488166,
        0.04868,
        0.0486623,
        0.0505789,
        0.0537937,
        0.056353,
        0.0617031,
        0.0646696,
        0.0626356,
        0.055117,
        0.0541349,
        0.0523416,
        0.0515097,
        0.0509528,
        0.0521192,
        0.0521245,
        0.0547409,
        0.0561977,
        0.0564317,
        0.055376,
        0.0534917,
        0.0516755,
        0.0491348,
        0.0471435,
        0.0438286,
        0.0416535,
        0.041528,
        0.0417105,
        0.0454129,
        0.0451376,
        0.0421015,
        0.0421891,
        0.0419994,
        0.0422302,
        0.0440072,
        0.0504399,
        0.0492888,
        0.0468167,
        0.0468241,
        0.044995,
        0.0439755,
        0.0434336,
        0.042103,
        0.0398244,
        0.0385756,
        0.0383317,
        0.0390521,
        0.0377776,
        0.0385332,
        0.0387645,
        0.0387304,
        0.038811,
        0.0388769,
        0.0381269,
        0.0376445,
        0.0369534,
        0.0369333,
        0.0367282,
        0.0367379,
        0.0365417,
        0.0363429,
        0.036488,
        0.0367106,
        0.0365709,
        0.0364208,
        0.0363869,
        0.0363699,
        0.0364172,
        0.0366749,
        0.0391257,
        0.0384671,
        0.0365061,
        0.0368274,
        0.0365643,
        0.0371007,
        0.0374323,
        0.0378285,
        0.0386455,
        0.0399816,
        0.0414872,
        0.041442,
        0.0424119,
        0.0435635,
        0.0430326,
        0.0425954,
        0.0428302,
        0.0433399,
        0.0437474,
        0.0438553,
        0.0440322,
        0.0440162,
        0.0444235,
        0.0451849,
        0.0467004,
        0.0485745,
        0.04917,
        0.0483356,
        0.049161,
        0.0501926,
        0.0510391,
        0.0510646,
        0.0521976,
        0.0519636,
        0.052433,
        0.0541504,
        0.0558777,
        0.0575397,
        0.0674793,
        0.0679135,
        0.0589125,
        0.0584898,
        0.0592445,
        0.0596764,
        0.0600093,
        0.0610442,
        0.0705059,
        0.0720916,
        0.0657328,
        0.0694846,
        0.0741975,
        0.0866706,
        0.0914229,
        0.089914,
        0.0955911,
        0.105493,
        0.118472,
        0.135523,
        0.154512,
        0.176809,
        0.20447,
        0.244999,
        0.29756,
        0.231871,
        0.197505,
        0.161555,
        0.139277,
        0.121434,
        0.109272,
        0.103146,
        0.098843,
        0.0823333,
        0.0784296,
        0.0758146,
        0.0736888,
        0.0701734,
        0.067547,
        0.0661045,
        0.0652758,
        0.0656816,
        0.0660744,
        0.0676501,
        0.0693746,
        0.0680487,
        0.0670837,
        0.0657429,
        0.0643072,
        0.0633262,
        0.0604139,
        0.0596552,
        0.0587267,
        0.0571531,
        0.055654,
        0.0542265,
        0.0537413,
        0.0543563,
        0.0538854,
        0.0546332,
        0.0576315,
        0.0589976,
        0.0647361,
        0.0702152,
        0.0753746,
        0.0814292,
        0.0853714,
        0.0843596,
        0.0801364,
        0.0741424,
        0.0672333,
        0.0615925,
        0.0571093,
        0.0536264,
        0.0512171,
        0.0498677,
        0.0485907,
        0.0473491,
        0.0467622,
        0.046644,
        0.0463039,
        0.0457002,
        0.0460441,
        0.0458474,
        0.0458469,
        0.0459906,
        0.0451901,
        0.046068,
        0.0467085,
        0.0475682,
        0.0496579,
        0.0513144,
        0.0514623,
        0.0548586,
        0.0543138,
        0.0499963,
        0.0493521,
        0.0497099,
        0.0505845,
        0.0506932,
        0.0502807,
        0.0489798,
        0.0480625,
        0.0474411,
        0.0470758,
        0.0468741,
        0.0472372,
        0.0473775,
        0.0474522,
        0.0511588,
        0.0496761,
        0.04758,
        0.0475512,
        0.0480042,
        0.0486546,
        0.0482878,
        0.0491792,
        0.0500053,
        0.0508646,
        0.0513557,
        0.0511108,
        0.0516744,
        0.0533945,
        0.054467,
        0.0548326,
        0.0548533,
        0.0547958,
        0.0548698,
        0.0545656,
        0.0551466,
        0.0549735,
        0.0542154,
        0.0545987,
        0.0546019,
        0.0548602,
        0.0558121,
        0.0570336,
        0.0576387,
        0.0599362,
        0.0627956,
        0.0612364,
        0.0607792,
        0.0607292,
        0.0598321,
        0.0599608,
        0.060606,
        0.0609711,
        0.0619278,
        0.0619283,
        0.0618928,
        0.0618326,
        0.06105,
        0.0623372,
        0.0667509,
        0.0677098,
        0.0659191,
        0.0667944,
        0.0676523,
        0.0696654,
        0.0743744,
        0.0769986,
        0.0761354,
        0.0765091,
        0.0767487,
        0.0784659,
        0.0804184,
        0.0836518,
        0.0869609,
        0.0875822,
        0.0906338,
        0.0917084,
        0.0924293,
        0.0963722,
        0.101294,
        0.103213,
        0.106865,
        0.114615,
        0.122159,
        0.136179,
        0.141398,
        0.139115,
        0.147802,
        0.159298,
        0.174605,
        0.192181,
        0.206631,
        0.218988,
        0.272324,
        0.314762,
        0.282705,
        0.227189,
        0.210941,
        0.214783,
        0.206061,
        0.182633,
        0.170324,
        0.167296,
        0.16119,
        0.158649,
        0.171463,
        0.163664,
        0.147861,
        0.141016,
        0.138426,
        0.138932,
        0.137608,
        0.139269,
        0.138225,
        0.136201,
        0.135828,
        0.134675,
        0.135173,
        0.138726,
        0.140334,
        0.143383,
        0.143486,
        0.151843,
        0.151711,
        0.148639,
        0.149821,
        0.153602,
        0.160847,
        0.159831,
        0.154474,
        0.160143,
        0.174079,
        0.182095,
        0.178731,
        0.184968,
        0.197005,
        0.212043,
        0.203084,
        0.22412,
        null,
        0.28074,
        0.237838,
        0.219161,
        0.207283,
        0.195513,
        0.185278,
        0.172029,
        0.175989,
        0.161199,
        0.145546,
        0.136645,
        0.132336,
        0.130054,
        0.124232,
        0.12197,
        0.117809,
        0.115716,
        0.112786,
        0.109217,
        0.10626,
        0.103212,
        0.101705,
        0.0981356,
        0.0950116,
        0.0950972,
        0.0978477,
        0.096982,
        0.09938,
        0.102024,
        0.100329,
        0.0964618,
        0.093276,
        0.0885691,
        0.0851315,
        0.0835221,
        0.0820087,
        0.0798886,
        0.0780981,
        0.0759441,
        0.0761287,
        0.075316,
        0.074122,
        0.0734332,
        0.0724719,
        0.0725386,
        0.0711474,
        0.0775846,
        0.0763366,
        0.068878,
        0.0681454,
        0.0669807,
        0.0666523,
        0.0657824,
        0.0653787,
        0.0647171,
        0.0662643,
        0.0657291,
        0.0672257,
        0.0674064,
        0.0669306,
        0.076196,
        0.0741734,
        0.0639503,
        0.0632851,
        0.0623482,
        0.0614485,
        0.0701857,
        0.0666096,
        0.0598283,
        0.0593682,
        0.0591444,
        0.0587489,
        0.0581287,
        0.0572112,
        0.0564455,
        0.0567797,
        0.0571624,
        0.05663,
        0.0564936,
        0.0556041,
        0.0554527,
        0.0569037,
        0.0571161,
        0.0564296,
        0.0589216,
        0.059382,
        0.0575631,
        0.0588051,
        0.0600831,
        0.0598488,
        0.0597696,
        0.0598412,
        0.0600625,
        0.059697,
        0.0572219,
        0.0569281,
        0.0580843,
        0.0578149,
        0.0586002,
        0.0568904,
        0.0575692,
        0.0594915,
        0.059639,
        0.0593296,
        0.0586522,
        0.0580798,
        0.0588937,
        0.057329,
        0.0580335,
        0.0591531,
        0.0591582,
        0.0586768,
        0.0582784,
        0.058776,
        0.0583403,
        0.0578382,
        0.0574025,
        0.0575893,
        0.0571366,
        0.0571231,
        0.0568122,
        0.0571193,
        0.0573435,
        0.0576305,
        0.0563156,
        0.0572369,
        0.0577669,
        0.0578822,
        0.0592301,
        0.0616973,
        0.0581315,
        0.0576381,
        0.0585806,
        0.0602253,
        0.0602094,
        0.0600489,
        0.0612291,
        0.0649373,
        0.0652468,
        0.0634713,
        0.0652609,
        0.0672765,
        0.0669553,
        0.068091,
        0.0706003,
        0.0724355,
        0.0730798,
        0.0770276,
        0.0800136,
        0.0835806,
        0.0866607,
        0.0878284,
        0.0892992,
        0.0912744,
        0.093042,
        0.0966629,
        0.0986162,
        0.105366,
        0.11151,
        0.117739,
        0.126967,
        0.131905,
        0.146842,
        0.167212,
        0.18558,
        0.206763,
        0.243823,
        0.183033,
        0.159188,
        0.144586,
        0.137359,
        0.127229,
        0.116664,
        0.111317,
        0.105849,
        0.0977154,
        0.0924451,
        0.0883337,
        0.0866606,
        0.0833763,
        0.0815782,
        0.0786318,
        0.0782758,
        0.0771295,
        0.0776021,
        0.077727,
        0.0779468,
        0.0769994,
        0.0782997,
        0.0804229,
        0.0810926,
        0.0829691,
        0.084302,
        0.0814646,
        0.0807612,
        0.077379,
        0.0735205,
        0.0707132,
        0.068926,
        0.067712,
        0.0657234,
        0.0637783,
        0.0642325,
        0.0631407,
        0.0621717,
        0.0669495,
        0.0692501,
        0.0616537,
        0.0608996,
        0.0618004,
        0.0620829,
        0.0618929,
        0.0615657,
        0.0611818,
        0.0614958,
        0.0599877,
        0.0586103,
        0.0581165,
        0.0578749,
        0.0572656,
        0.0565494,
        0.0560686,
        0.0559715,
        0.0556958,
        0.0554551,
        0.0552526,
        0.0553811,
        0.0555938,
        0.0556016,
        0.056475,
        0.0574749,
        0.0578227,
        0.0559929,
        0.0556376,
        0.0548189,
        0.0548929,
        0.0549535,
        0.054363,
        0.0549625,
        0.0552995,
        0.0561343,
        0.0572143,
        0.0566219,
        0.0579534,
        0.0594677,
        0.0562794,
        0.0562803,
        0.0571819,
        0.0577028,
        0.0555015,
        0.0559903,
        0.055055,
        0.0545711,
        0.0541891,
        0.0544385,
        0.0542562,
        0.0539522,
        0.0536144,
        0.056366,
        0.0571438,
        0.0555974,
        0.0564476,
        0.0567385,
        0.0576251,
        0.056686,
        0.0571587,
        0.0573453,
        0.0573258,
        0.0572659,
        0.0585498,
        0.0593605,
        0.0586501,
        0.0595533,
        0.0602548,
        0.060748,
        0.0609526,
        0.0619463,
        0.062903,
        0.0625556,
        0.0622363,
        0.0624614,
        0.0632881,
        0.0637795,
        0.06569,
        0.0666246,
        0.0673641,
        0.0683065,
        0.0690528,
        0.0674784,
        0.0669469,
        0.065881,
        0.0644945,
        0.0646996,
        0.0648577,
        0.0640665,
        0.0633805,
        0.0631153,
        0.0637714,
        0.0638672,
        0.0637637,
        0.0638652,
        0.0643548,
        0.0664878,
        0.0674108,
        0.0697375,
        0.0694816,
        0.0681391,
        0.0705341,
        0.0703632,
        0.0706406,
        0.070302,
        0.071125,
        0.076175,
        0.0782222,
        0.080274,
        0.0777782,
        0.0795405,
        0.0780491,
        0.0789178,
        0.0830541,
        0.0850826,
        0.0896135,
        0.0934074,
        0.0982239,
        0.0998199,
        0.103055,
        0.111242,
        0.116987,
        0.123603,
        0.15146,
        0.163142,
        0.15179,
        0.170158,
        0.187478,
        null,
        0.0522062,
        0.0520773,
        0.0514094,
        0.0511526,
        0.050669,
        0.0495174,
        0.0491377,
        0.0482206,
        0.0474272,
        0.0520298,
        0.0517573,
        0.0461786,
        0.0462462,
        0.0460939,
        0.0511838,
        0.0511686,
        0.0464255,
        0.0467661,
        0.0472319,
        0.0470302,
        0.0466539,
        0.0475534,
        0.0483181,
        0.0486779,
        0.0485976,
        0.0486954,
        0.0483027,
        0.0475241,
        0.0471187,
        0.0466965,
        0.0463183,
        0.0469108,
        0.0522067,
        0.0506504,
        0.0461346,
        0.0461409,
        0.0459477,
        0.0461033,
        0.0460784,
        0.0458748,
        0.0463569,
        0.0467681,
        0.0472338,
        0.046882,
        0.0480551,
        0.0485219,
        0.0475657,
        0.0481741,
        0.0488278,
        0.0496899,
        0.0504265,
        0.0519664,
        0.0532545,
        0.0552976,
        0.0576397,
        0.0594949,
        0.0617034,
        0.0635937,
        0.0646375,
        0.0652396,
        0.0646477,
        0.062629,
        0.0606066,
        0.0592372,
        0.0588725,
        0.0589894,
        0.060529,
        0.0677478,
        0.0684726,
        0.0642662,
        0.066282,
        0.0688493,
        0.0704464,
        0.0721901,
        0.0744343,
        0.0763795,
        0.0784122,
        0.0828741,
        0.0902474,
        0.0977238,
        0.107955,
        0.120079,
        0.133076,
        0.154937,
        0.186961,
        0.226919,
        0.22603,
        0.182536,
        0.156693,
        0.136964,
        0.122407,
        0.110368,
        0.101084,
        0.0951853,
        0.0908359,
        0.0877682,
        0.0860096,
        0.0821609,
        0.0772146,
        0.0736904,
        0.0698917,
        0.0653907,
        0.0627206,
        0.061447,
        0.0583741,
        0.055745,
        0.0531989,
        0.0514396,
        0.0503163,
        0.0493385,
        0.0485618,
        0.0479375,
        0.0473664,
        0.0470928,
        0.0470521,
        0.0472618,
        0.0471648,
        0.0466062,
        0.0461271,
        0.0453463,
        0.0445624,
        0.0438701,
        0.0427007,
        0.0422057,
        0.0419522,
        0.0418444,
        0.0418099,
        0.041663,
        0.0412062,
        0.0409692,
        0.0429874,
        0.0437989,
        0.0410949,
        0.0411244,
        0.0414642,
        0.0417901,
        0.0416226,
        0.0412983,
        0.0423903,
        0.0426633,
        0.0440296,
        0.0430738,
        0.0464258,
        0.0485202,
        0.0450632,
        0.0450006,
        0.0445036,
        0.0438476,
        0.043202,
        0.0422992,
        0.0413295,
        0.0430518,
        0.0437568,
        0.040321,
        0.0401057,
        0.0400518,
        0.0398845,
        0.0395507,
        0.0393325,
        0.0387012,
        0.0386367,
        0.0387064,
        0.0386373,
        0.0385485,
        0.0391646,
        0.0394064,
        0.03898,
        0.0396297,
        0.0398751,
        0.0393469,
        0.039289,
        0.0388194,
        0.0388273,
        0.0387298,
        0.0383779,
        0.0379949,
        0.0378822,
        0.0384114,
        0.0388117,
        0.0392836,
        0.0393216,
        0.0396027,
        0.0400859,
        0.0405327,
        0.0409619,
        0.0417436,
        0.0423013,
        0.0427408,
        0.0438227,
        0.0445321,
        0.0453551,
        0.045261,
        0.0458316,
        0.0493161,
        0.049873,
        0.0458614,
        0.0455486,
        0.0448031,
        0.0440821,
        0.0434087,
        0.0433451,
        0.0433551,
        0.0433133,
        0.0436428,
        0.0441616,
        0.0443738,
        0.0444225,
        0.0446771,
        0.0450555,
        0.0453025,
        0.0460439,
        0.0462805,
        0.0469944,
        0.0473707,
        0.0483513,
        0.0491065,
        0.0495217,
        0.0503752,
        0.0516706,
        0.0527499,
        0.0545741,
        0.0560597,
        0.0573841,
        0.0593112,
        0.0618384,
        0.0647629,
        0.0689698,
        0.073486,
        0.0780751,
        0.0838762,
        0.0927487,
        0.102882,
        0.112353,
        0.131498,
        0.158637,
        0.189005,
        0.192007,
        0.162825,
        0.136714,
        0.119505,
        0.107395,
        0.102754,
        0.0946639,
        0.0921287,
        0.0854223,
        0.0737172,
        0.0699619,
        0.0660431,
        0.0625299,
        0.0601161,
        0.0579399,
        0.0571458,
        0.0555956,
        0.0536135,
        0.0518159,
        0.0496071,
        0.0483194,
        0.0495441,
        0.049465,
        0.0460236,
        0.0449179,
        0.0436978,
        0.0431586,
        0.0431069,
        0.0429289,
        0.042719,
        0.0427339,
        0.0434655,
        0.0437171,
        0.0439384,
        0.0433928,
        0.0432603,
        0.0424569,
        0.0413018,
        0.0405127,
        0.0399193,
        0.0391779,
        0.0382885,
        0.0377959,
        0.037741,
        0.0376332,
        0.0377436,
        0.0374015,
        0.0366928,
        0.0363508,
        0.0360236,
        0.0359751,
        0.0371521,
        0.0411728,
        0.04013,
        0.0369845,
        0.036563,
        0.0363326,
        0.0363525,
        0.0364551,
        0.0368205,
        0.0366304,
        0.0367115,
        0.036717,
        0.0395672,
        0.0392908,
        0.0363374,
        0.0364531,
        0.0363903,
        0.0360845,
        0.0358051,
        0.0361409,
        0.0364939,
        0.0367227,
        0.03702,
        0.0365647,
        0.0364935,
        0.0370672,
        0.0375809,
        0.0373642,
        0.0392837,
        0.04017,
        0.0401999,
        0.0409681,
        0.0417008,
        0.041953,
        0.0413767,
        0.0402317,
        0.039417,
        0.0386582,
        0.0378217,
        0.0373437,
        0.0366429,
        0.0361431,
        0.0359211,
        0.0357335,
        0.035678,
        0.035546,
        0.0356069,
        0.0403466,
        0.0401548,
        0.0359743,
        0.03576,
        0.0362421,
        0.0363912,
        0.0365029,
        0.0360762,
        0.0358589,
        0.0356876,
        0.0356501,
        0.0358231,
        0.0362165,
        0.0365308,
        0.0366421,
        0.0367302,
        0.0369693,
        0.037486,
        0.0379498,
        0.0379501,
        0.0386498,
        0.0392802,
        0.0400732,
        0.0404923,
        0.0447564,
        0.0477242,
        0.043465,
        0.0436112,
        0.0443982,
        0.0458629,
        0.0471851,
        0.048853,
        0.051757,
        0.0560725,
        0.0602912,
        0.0657543,
        0.069968,
        0.0727213,
        0.0731002,
        0.0710275,
        0.0684812,
        0.06641,
        0.0658519,
        0.0670457,
        0.068543,
        0.0698688,
        0.0738013,
        0.0778971,
        0.0822106,
        0.0892705,
        0.0989881,
        0.111001,
        0.126489,
        0.152364,
        0.188885,
        0.233412,
        0.18963,
        0.154707,
        0.132286,
        0.120443,
        0.105229,
        0.0933849,
        0.0876862,
        0.0804626,
        0.0761675,
        0.0742827,
        0.0713832,
        0.0682969,
        0.0653643,
        0.0620594,
        0.0593228,
        0.0565483,
        0.0552617,
        0.0525851,
        0.0523489,
        0.0511704,
        0.0474141,
        0.0460658,
        0.0450886,
        0.0440033,
        0.0434091,
        0.0429827,
        0.0424481,
        0.0418237,
        0.0417444,
        0.0413172,
        0.0403962,
        0.0394674,
        0.0398937,
        0.0394372,
        0.0389148,
        0.0386762,
        0.0384955,
        0.0380164,
        0.0375109,
        0.0370449,
        0.0372038,
        0.0366849,
        0.0363358,
        0.0360231,
        0.035974,
        0.0360425,
        0.0358656,
        0.0353907,
        0.0354523,
        0.0365563,
        0.0362806,
        0.0361089,
        0.0360282,
        0.0362466,
        0.0363806,
        0.0366762,
        0.0369275,
        0.0380222,
        0.0406662,
        0.0423323,
        0.0430572,
        0.0455985,
        0.0479536,
        0.0586983,
        0.0592508,
        0.0494236,
        0.0473234,
        0.0458666,
        0.0448575,
        0.0434975,
        0.0428657,
        0.0421221,
        0.0422059,
        0.041798,
        0.0412413,
        0.0424588,
        0.0411195,
        0.0388943,
        0.0380194,
        0.0376179,
        0.0372096,
        0.0366563,
        0.0357524,
        0.035389,
        0.0354809,
        0.0358998,
        0.0355031,
        0.0358707,
        0.0364056,
        0.036422,
        0.0358319,
        0.0352086,
        0.0348088,
        0.0388314,
        0.0387543,
        0.0347678,
        0.0344079,
        0.03535,
        0.0354759,
        0.0343721,
        0.0346467,
        0.0347421,
        0.0354726,
        0.0353071,
        0.0354639,
        0.0355282,
        0.0359611,
        0.0366106,
        0.0373556,
        0.0380188,
        0.0385136,
        0.040012,
        0.0415076,
        0.042395,
        0.0427028,
        0.0431394,
        0.0421589,
        0.0413604,
        0.0416377,
        0.0415343,
        0.0418721,
        0.0415295,
        0.0413149,
        0.0412337,
        0.0410147,
        0.0417657,
        0.0425055,
        0.0431253,
        0.0435442,
        0.0442894,
        0.0452329,
        0.046436,
        0.0483397,
        0.0502015,
        0.0524053,
        0.055131,
        0.0587391,
        0.0619605,
        0.0630951,
        0.064115,
        0.0647063,
        0.0654083,
        0.065047,
        0.0639634,
        0.0650408,
        0.0665777,
        0.0687588,
        0.0713483,
        0.074552,
        0.0798771,
        0.0851933,
        0.0982414,
        0.108477,
        0.114576,
        0.13005,
        0.152199,
        0.182148,
        0.229139,
        0.239296,
        0.184493,
        0.149593,
        0.126739,
        0.106473,
        0.0942657,
        0.0884155,
        0.0796485,
        0.0711012,
        0.0659274,
        0.0620866,
        0.058163,
        0.0556381,
        0.0538901,
        0.0514991,
        0.0499269,
        0.0481257,
        0.0474847,
        0.0459679,
        0.0449132,
        0.0442195,
        0.0432006,
        0.0427413,
        0.0419726,
        0.0445403,
        0.0435583,
        0.0407949,
        0.041199,
        0.0412384,
        0.03965,
        0.0392659,
        0.0390617,
        0.0391214,
        0.0382112,
        0.0380344,
        0.0384805,
        0.0384741,
        0.0385566,
        0.0387339,
        0.0452614,
        0.0433098,
        0.0403836,
        0.041013,
        0.0419363,
        0.0412099,
        0.0402474,
        0.0397838,
        0.0389485,
        0.0379347,
        0.0372287,
        0.0370831,
        0.0370627,
        0.0372966,
        0.0377231,
        0.037694,
        0.0374726,
        0.0377861,
        0.0388374,
        0.0399638,
        0.0416627,
        0.044672,
        0.0496098,
        0.0570483,
        0.0679225,
        0.077302,
        0.0839907,
        0.0814127,
        0.074447,
        0.0653253,
        0.0554146,
        0.048459,
        0.0437829,
        0.0412215,
        0.0388988,
        0.0372899,
        0.0364776,
        0.0357469,
        0.0356293,
        0.0354657,
        0.0352287,
        0.0349103,
        0.0345619,
        0.0343388,
        0.0346553,
        0.0350157,
        0.0350923,
        0.035386,
        0.0356582,
        0.035565,
        0.0357805,
        0.0378172,
        0.0368156,
        0.036328,
        0.0372083,
        0.0377623,
        0.0384545,
        0.0390329,
        0.0391088,
        0.0390023,
        0.0383063,
        0.037787,
        0.0369488,
        0.0359124,
        0.035237,
        0.0345166,
        0.0343973,
        0.0342506,
        0.0339711,
        0.0337909,
        0.0338595,
        0.0334644,
        0.0332127,
        0.0331278,
        0.0330135,
        0.033226,
        0.0330039,
        0.0341096,
        0.0340526,
        0.0333708,
        0.0362318,
        0.0368046,
        0.0384014,
        0.0382743,
        0.0346454,
        0.0352182,
        0.0346171,
        0.0350345,
        0.0354822,
        0.0362705,
        0.0368187,
        0.0369352,
        0.0372169,
        0.0375774,
        0.0380568,
        0.0381407,
        0.0386031,
        0.0393199,
        0.0400779,
        0.0410553,
        0.0417485,
        0.0426253,
        0.0446193,
        0.0459727,
        0.0481554,
        0.0496814,
        0.0518251,
        0.0522154,
        0.0539105,
        0.0570303,
        0.0611352,
        0.0648768,
        0.0686544,
        0.0702836,
        0.0766138,
        0.0838799,
        0.0837139,
        0.0922374,
        0.101796,
        0.124646,
        0.151242,
        0.168997,
        0.209102,
        0.243311,
        0.186917,
        0.149855,
        0.127697,
        0.108622,
        0.0933776,
        0.0843671,
        0.076372,
        0.0703716,
        0.0652005,
        0.061294,
        0.0574512,
        0.054778,
        0.0528807,
        0.0511455,
        0.0489813,
        0.0492069,
        0.0482252,
        0.0467054,
        0.0466139,
        0.0464472,
        0.0454454,
        0.0447615,
        0.0448419,
        0.0454047,
        0.0464206,
        0.0474675,
        0.0479538,
        0.049087,
        0.048017,
        0.0470783,
        0.0458895,
        0.0447803,
        0.0438669,
        0.043046,
        0.041844,
        0.0403622,
        0.0396644,
        0.0389103,
        0.0383486,
        0.0385003,
        0.0442939,
        0.0406538,
        0.0375037,
        0.0370176,
        0.0366637,
        0.0368821,
        0.0373586,
        0.0377911,
        0.0385862,
        0.039605,
        0.0408032,
        0.0414055,
        0.0421638,
        0.042804,
        0.0430357,
        0.0428604,
        0.0421815,
        0.041015,
        0.0394678,
        0.0379269,
        0.0372001,
        0.0361924,
        0.035596,
        0.0353115,
        0.03475,
        0.0348559,
        0.0350576,
        0.034928,
        0.0350198,
        0.0354299,
        0.0355034,
        0.0357037,
        0.0360585,
        0.0365693,
        0.0371016,
        0.0379211,
        0.0380207,
        0.041537,
        0.0408204,
        0.0407438,
        0.0411432,
        0.0400826,
        0.040004,
        0.0413959,
        0.04046,
        0.036995,
        0.0363149,
        0.0356398,
        0.0354387,
        0.0355227,
        0.0346216,
        0.034516,
        0.0344548,
        0.0342745,
        0.0341532,
        0.0341235,
        0.0354725,
        0.0360655,
        0.0342097,
        0.034478,
        0.0342885,
        0.0345776,
        0.0342903,
        0.03447,
        0.0345194,
        0.0344547,
        0.0347123,
        0.0348428,
        0.034654,
        0.0345126,
        0.035759,
        0.0356348,
        0.0357208,
        0.0399787,
        0.0391217,
        0.0367362,
        0.0366043,
        0.0369419,
        0.0369761,
        0.0372507,
        0.037332,
        0.037539,
        0.0381434,
        0.0383749,
        0.0409065,
        0.040602,
        0.0387884,
        0.0393821,
        0.0393503,
        0.0397845,
        0.0404403,
        0.0417516,
        0.0439926,
        0.0459716,
        0.0469286,
        0.0500114,
        0.0532368,
        0.0543836,
        0.0543475,
        0.0523141,
        0.0498091,
        0.0483865,
        0.0472689,
        0.0466399,
        0.0464209,
        0.0466246,
        0.0481149,
        0.0492032,
        0.0483272,
        0.0492718,
        0.0515009,
        0.0532808,
        0.0552669,
        0.0583143,
        0.0622247,
        0.0652785,
        0.0701403,
        0.0774029,
        0.0859951,
        0.0933964,
        0.10541,
        0.121345,
        0.141055,
        0.170217,
        0.218414,
        0.237843,
        0.174531,
        0.143414,
        0.120911,
        0.104893,
        0.093721,
        0.0829944,
        0.0771592,
        0.0724458,
        0.0684757,
        0.0653838,
        0.0627868,
        0.0606911,
        0.0591228,
        0.0568576,
        0.0546837,
        0.0525323,
        0.050177,
        0.0479139,
        0.0462822,
        0.0454382,
        0.0445107,
        0.0435539,
        0.0429105,
        0.0427289,
        0.0425471,
        0.0449314,
        0.0429309,
        0.0402052,
        0.0396486,
        0.0390068,
        0.0388874,
        0.0386183,
        0.0454242,
        0.0444586,
        0.0376618,
        0.0370509,
        0.0371827,
        0.0372724,
        0.0375536,
        0.0369998,
        0.0373869,
        0.0380488,
        0.0380278,
        0.0375039,
        0.0385766,
        0.038517,
        0.0369227,
        0.037252,
        0.0379422,
        0.0383395,
        0.0386896,
        0.0381947,
        0.0379446,
        0.0374555,
        0.0372102,
        0.0374905,
        0.0373637,
        0.0376874,
        0.0375703,
        0.0374074,
        0.0390147,
        0.0397348,
        0.0402094,
        0.0393626,
        0.0391008,
        0.0423324,
        0.0438152,
        0.041,
        0.0412575,
        0.0409008,
        0.0401496,
        0.0394912,
        0.0400971,
        0.0397422,
        0.0382281,
        0.0389625,
        0.0388533,
        0.0392123,
        0.0394182,
        0.0392253,
        0.0387843,
        0.0387568,
        0.0397267,
        0.03883,
        0.0384441,
        0.0391172,
        0.0393371,
        0.0429843,
        0.0448583,
        0.0415714,
        0.0418948,
        0.0423054,
        0.0426434,
        0.0426037,
        0.0423345,
        0.0416816,
        0.0428294,
        0.0432974,
        0.0404411,
        0.0396477,
        0.0395946,
        0.0397917,
        0.0398012,
        0.0394341,
        0.038983,
        0.0388084,
        0.0388041,
        0.0389127,
        0.0391221,
        0.0390327,
        0.0393298,
        0.039625,
        0.0394598,
        0.0392499,
        0.0397445,
        0.0398509,
        0.0398856,
        0.0399418,
        0.0412462,
        0.0425072,
        0.0434578,
        0.0440686,
        0.0443253,
        0.0455856,
        0.0458692,
        0.0458778,
        0.0460745,
        0.0454156,
        0.0445787,
        0.0435058,
        0.0428865,
        0.0421261,
        0.0414273,
        0.041024,
        0.0405139,
        0.0399212,
        0.039641,
        0.0394996,
        0.0390959,
        0.0448817,
        0.0449053,
        0.0387981,
        0.0390822,
        0.0389213,
        0.039017,
        0.0400749,
        0.0409089,
        0.0411488,
        0.0412732,
        0.0420004,
        0.0431098,
        0.0441592,
        0.0517085,
        0.0529926,
        0.048499,
        0.0502346,
        0.0524479,
        0.0552136,
        0.0576953,
        0.0632278,
        0.0675261,
        0.0718321,
        0.0791293,
        0.0889037,
        0.100953,
        0.117955,
        0.143013,
        0.181974,
        0.240728,
        0.203039,
        0.152985,
        0.138099,
        0.125063,
        0.0942011,
        0.0858372,
        0.0773677,
        0.0700944,
        0.0661543,
        0.0616237,
        0.057161,
        0.0541131,
        0.0531185,
        0.0506953,
        0.0477026,
        0.0469301,
        0.0458788,
        0.0444872,
        0.0432626,
        0.0423681,
        0.0413324,
        0.0410959,
        0.0409589,
        0.0409224,
        0.0403297,
        0.040005,
        0.0401048,
        0.0401377,
        0.0394027,
        0.0392056,
        0.0392764,
        0.0430247,
        0.0419691,
        0.0409274,
        0.0414985,
        0.0419364,
        0.0426167,
        0.0430586,
        0.0438258,
        0.0438393,
        0.0437913,
        0.0438637,
        0.0438567,
        0.042547,
        0.0418248,
        0.0412127,
        0.0406655,
        0.0404087,
        0.039896,
        0.0397498,
        0.0399367,
        0.0395372,
        0.0398447,
        0.0402865,
        0.0414788,
        0.0421867,
        0.0428591,
        0.0430094,
        0.0430216,
        0.0427823,
        0.0419669,
        0.0516038,
        0.0511931,
        0.0394366,
        0.0380177,
        0.0376257,
        0.0369483,
        0.0366484,
        0.0368778,
        0.0364461,
        0.035761,
        0.0348117,
        0.0349632,
        0.0350451,
        0.0349202,
        0.0349132,
        0.0346951,
        0.0350032,
        0.0347938,
        0.0342392,
        0.0345895,
        0.0348326,
        0.0351948,
        0.0353381,
        0.0356957,
        0.0347012,
        0.0339359,
        0.03354,
        0.0333816,
        0.0331692,
        0.0333053,
        0.0334199,
        0.0335593,
        0.0336842,
        0.0340708,
        0.0380528,
        0.036836,
        0.0346034,
        0.0344534,
        0.034189,
        0.0343214,
        0.0344351,
        0.0346776,
        0.0349317,
        0.0352907,
        0.0359142,
        0.0386118,
        0.0392704,
        0.0365494,
        0.0367513,
        0.0368998,
        0.0373974,
        0.0379552,
        0.0386737,
        0.0396619,
        0.0405746,
        0.0403166,
        0.0404139,
        0.0400945,
        0.0396004,
        0.0393195,
        0.0393865,
        0.0386703,
        0.0388562,
        0.0390944,
        0.0387902,
        0.0393216,
        0.0389899,
        0.0385931,
        0.0382993,
        0.0372038,
        0.0378491,
        0.0381808,
        0.038776,
        0.0387589,
        0.0381565,
        0.0378952,
        0.0382043,
        0.0383058,
        0.0384596,
        0.0390568,
        0.0392476,
        0.0393889,
        0.0391174,
        0.0392843,
        0.039849,
        0.0401641,
        0.0503434,
        0.0512351,
        0.0414026,
        0.0424085,
        0.0434022,
        0.0439214,
        0.0449682,
        0.0465173,
        0.0474323,
        0.0484388,
        0.0495058,
        0.0506692,
        0.0520481,
        0.0543685,
        0.0565057,
        0.0590568,
        0.0625418,
        0.0665002,
        0.0706008,
        0.0776682,
        0.0864241,
        0.0977424,
        0.126605,
        0.148256,
        0.167814,
        0.216395,
        0.248861,
        0.202231,
        0.1558,
        0.126103,
        0.108119,
        0.0942183,
        0.0840248,
        0.0757691,
        0.0706328,
        0.0685794,
        0.0642959,
        0.0617245,
        0.0584879,
        0.056042,
        0.0539915,
        0.0524709,
        0.050977,
        0.0493848,
        0.0485668,
        0.0478855,
        0.0479686,
        0.0460736,
        0.0448379,
        0.0441887,
        0.0436306,
        0.0435995,
        0.0436335,
        0.0439964,
        0.0431623,
        0.0425575,
        0.0427376,
        0.0428741,
        0.0423235,
        0.0421956,
        0.0421726,
        0.0420886,
        0.0417367,
        0.0418228,
        0.0411756,
        0.0414,
        0.0412729,
        0.0415126,
        0.0415454,
        0.0421711,
        0.0420302,
        0.0420769,
        0.0429021,
        0.0434786,
        0.0445576,
        0.0453541,
        0.0460104,
        0.0461561,
        0.0472409,
        0.0464246,
        0.044766,
        0.0453112,
        0.0443096,
        0.0434905,
        0.0436414,
        0.0443155,
        0.0504879,
        0.0503387,
        0.0446085,
        0.0441882,
        0.04435,
        0.0449013,
        0.0452212,
        0.0465206,
        0.0467992,
        0.0468487,
        0.0482097,
        0.0484759,
        0.0496344,
        0.0509527,
        0.0515636,
        0.0519839,
        0.0530633,
        0.0553646,
        0.0572625,
        0.0600097,
        0.0631043,
        0.0645404,
        0.0668974,
        0.0681566,
        0.0670772,
        0.0670685,
        0.0712752,
        0.0699421,
        0.0665503,
        0.0670739,
        0.0667639,
        0.0673991,
        0.0694858,
        0.0714648,
        0.073414,
        0.0753828,
        0.0784529,
        0.0815501,
        0.0907217,
        0.0974114,
        0.101771,
        0.110798,
        0.118183,
        0.133585,
        0.148849,
        0.168168,
        0.200452,
        0.247274,
        0.294842,
        0.200673,
        0.171179,
        0.158173,
        0.13705,
        0.122978,
        0.113257,
        0.106408,
        0.0979794,
        0.0945195,
        0.0979599,
        0.095138,
        0.0832516,
        0.0800329,
        0.0781323,
        0.0756049,
        0.0744524,
        0.0746939,
        0.0744933,
        0.0736822,
        0.0731408,
        0.0708315,
        0.067231,
        0.065203,
        0.0642922,
        0.0628779,
        0.0613526,
        0.0609783,
        0.0615769,
        0.0594895,
        0.0597649,
        0.0594946,
        0.05983,
        0.0610354,
        0.061439,
        0.0632195,
        0.0651895,
        0.0672639,
        0.0685917,
        0.0723176,
        0.0732701,
        0.0758803,
        0.0815706,
        0.0900137,
        0.0979173,
        0.105011,
        0.117122,
        0.132094,
        0.153671,
        0.193903,
        0.255859,
        0.297423,
        0.226033,
        0.170488,
        0.140388,
        0.118902,
        0.102028,
        0.0926542,
        0.0849083,
        0.0789972,
        0.0744304,
        0.0698771,
        0.0661816,
        0.0642375,
        0.0627167,
        0.0615482,
        0.0597034,
        0.0584886,
        0.0564346,
        0.0561645,
        0.0571569,
        0.0562752,
        0.0539157,
        0.053851,
        0.0534473,
        0.053188,
        0.0514529,
        0.0500638,
        0.0492449,
        0.0483018,
        0.0482939,
        0.0477023,
        0.0474103,
        0.0474938,
        0.047673,
        0.0479693,
        0.0473759,
        0.0477122,
        0.0481062,
        0.0476823,
        0.0473146,
        0.0549951,
        0.0547181,
        0.0473817,
        0.0471596,
        0.0475067,
        0.0479353,
        0.0481897,
        0.0479222,
        0.0471292,
        0.0463359,
        0.0456883,
        0.0450975,
        0.0446686,
        0.0445806,
        0.0453099,
        0.0448539,
        0.043969,
        0.0443627,
        0.0445448,
        0.0447162,
        0.0449476,
        0.0451427,
        0.0453743,
        0.04599,
        0.0464202,
        0.0464804,
        0.0452054,
        0.0451583,
        0.0449927,
        0.044216,
        0.0444712,
        0.0446323,
        0.0455398,
        0.0449759,
        0.0452359,
        0.0452537,
        0.0456607,
        0.0464325,
        0.0457181,
        0.0455094,
        0.0455183,
        0.0455712,
        0.0459283,
        0.0455533,
        0.0455164,
        0.0462373,
        0.0465223,
        0.0479926,
        0.0479783,
        0.0467449,
        0.0469948,
        0.0474317,
        0.0471754,
        0.0468562,
        0.0470751,
        0.0473418,
        0.0476843,
        0.0468652,
        0.0464324,
        0.0470605,
        0.0478226,
        0.0472278,
        0.0473521,
        0.0476796,
        0.0480911,
        0.0491474,
        0.0498542,
        0.0503245,
        0.0504036,
        0.0557236,
        0.0558533,
        0.0496086,
        0.0499891,
        0.0494903,
        0.0491342,
        0.0490897,
        0.0490784,
        0.0486403,
        0.0485279,
        0.048738,
        0.0488198,
        0.0498953,
        0.0511029,
        0.0498526,
        0.0512413,
        0.0519108,
        0.0505721,
        0.0512629,
        0.0513378,
        0.0526754,
        0.0528363,
        0.0519607,
        0.0516678,
        0.0520902,
        0.0524966,
        0.0526919,
        0.0525937,
        0.0530568,
        0.0536685,
        0.0542137,
        0.0549231,
        0.0546749,
        0.0558718,
        0.0551843,
        0.0560905,
        0.0566366,
        0.0560631,
        0.0569932,
        0.0591911,
        0.0598302,
        0.058835,
        0.0600617,
        0.0603237,
        0.0606227,
        0.0609715,
        0.0610606,
        0.0627344,
        0.063772,
        0.0637225,
        0.0646242,
        0.0644215,
        0.0652494,
        0.0675606,
        0.078808,
        0.0788691,
        0.0783227,
        0.0797374,
        0.0759447,
        0.0783126,
        0.0807158,
        0.0955226,
        0.0973701,
        0.0911847,
        0.0941628,
        0.0994637,
        0.106176,
        0.11157,
        0.120267,
        0.135096,
        0.159879,
        0.195511,
        0.234331,
        0.343669,
        0.275417,
        0.224036,
        0.189897,
        0.167394,
        0.1536,
        0.141072,
        0.134018,
        0.130531,
        0.129695,
        0.123955,
        0.122323,
        0.123371,
        0.125349,
        0.126165,
        0.12865,
        0.129509,
        0.129674,
        0.135603,
        0.138109,
        0.144404,
        0.148407,
        0.149739,
        0.155208,
        0.163367,
        0.1777,
        0.178574,
        0.2149,
        0.223902,
        0.26328,
        0.307164,
        0.2859,
        0.281605,
        0.224853,
        0.216822,
        0.205666,
        0.196716,
        0.178675,
        0.167826,
        0.160811,
        0.153354,
        0.150353,
        0.147982,
        0.142238,
        0.153965,
        0.154429,
        0.133316,
        0.133358,
        0.121034,
        0.118217,
        0.126182,
        0.120874,
        0.107266,
        0.107569,
        0.104511,
        0.100955,
        0.0983796,
        0.0959088,
        0.0951568,
        0.0924484,
        0.090898,
        0.0904931,
        0.0875626,
        0.0853951,
        0.0844478,
        0.084024,
        0.0805676,
        0.0797048,
        0.0811617,
        0.0780611,
        0.0780156,
        0.0762701,
        0.0760432,
        0.0753076,
        0.0746202,
        0.0730208,
        0.0733123,
        0.0729018,
        0.072847,
        0.0723378,
        0.071514,
        0.0720572,
        0.0715854,
        0.0710251,
        0.0707895,
        0.0704597,
        0.0701391,
        0.0706044,
        0.0685227,
        0.0702022,
        0.0697344,
        0.0706937,
        0.0704291,
        0.0690689,
        0.0702228,
        0.0715662,
        0.0706281,
        0.0717823,
        0.072206,
        0.0712624,
        0.0701101,
        0.071354,
        0.0713257,
        0.073622,
        0.0746431,
        0.0759279,
        0.086327,
        0.0875461,
        0.0763157,
        0.0762587,
        0.0783688,
        0.0835941,
        0.0844805,
        0.0900558,
        0.0946712,
        0.0887755,
        0.0899398,
        0.0902701,
        0.0938115,
        0.0987215,
        0.106983,
        0.118737,
        0.131883,
        0.147717,
        0.178327,
        0.223355,
        0.216905,
        0.188351,
        0.145791,
        0.127066,
        0.113317,
        0.104535,
        0.0963826,
        0.0922457,
        0.0887969,
        0.0842036,
        0.0817257,
        0.0793448,
        0.0775936,
        0.0765216,
        0.0748062,
        0.0740987,
        0.0715885,
        0.0702637,
        0.0706235,
        0.0706632,
        0.0696461,
        0.0689912,
        0.0696213,
        0.0687727,
        0.0694609,
        0.0688744,
        0.0694187,
        0.0695795,
        0.0692398,
        0.0708183,
        0.0692772,
        0.0707986,
        0.0700276,
        0.0696954,
        0.0707942,
        0.0698665,
        0.0692958,
        0.0706803,
        0.0707638,
        0.0727391,
        0.0721271,
        0.072912,
        0.07419,
        0.074023,
        0.0751738,
        0.0761564,
        0.0764555,
        0.07626,
        0.0747471,
        0.0747703,
        0.0745521,
        0.0742476,
        0.0744008,
        0.0747426,
        0.0727017,
        0.0728803,
        0.0732263,
        0.072937,
        0.0722011,
        0.071898,
        0.0724406,
        0.072771,
        0.0735096,
        0.0736068,
        0.0751755,
        0.0754812,
        0.0745959,
        0.0738102,
        0.0746252,
        0.0744888,
        0.0758983,
        0.0767591,
        0.0768716,
        0.0773927,
        0.0770639,
        0.0769758,
        0.075895,
        0.0766905,
        0.0775209,
        0.0787761,
        0.0788794,
        0.0795683,
        0.0806149,
        0.081255,
        0.0817198,
        0.0828309,
        0.0864347,
        0.0861687,
        0.0846709,
        0.0893109,
        0.0886252,
        0.0905,
        0.092017,
        0.0930184,
        0.091452,
        0.0912573,
        0.0952309,
        0.0957785,
        0.0986656,
        0.098845,
        0.099484,
        0.100904,
        0.101948,
        0.104898,
        0.106324,
        0.105923,
        0.108516,
        null,
        0.0559687,
        0.054746,
        0.0539453,
        0.0534704,
        0.0528546,
        0.0521339,
        0.0511102,
        0.0509851,
        0.0506218,
        0.04995,
        0.0494228,
        0.0486761,
        0.0483265,
        0.0483798,
        0.0481115,
        0.0480896,
        0.0476976,
        0.0473809,
        0.0471104,
        0.0468636,
        0.0464333,
        0.046131,
        0.0464065,
        0.0468123,
        0.0470013,
        0.0467562,
        0.0466919,
        0.0474182,
        0.0482012,
        0.0485612,
        0.0489828,
        0.049229,
        0.0491691,
        0.0487017,
        0.0486065,
        0.0486587,
        0.0482138,
        0.0481327,
        0.0481748,
        0.0481093,
        0.047315,
        0.0472793,
        0.0468308,
        0.0465179,
        0.0465865,
        0.0467377,
        0.0466659,
        0.0466425,
        0.0469029,
        0.0465541,
        0.0469975,
        0.0469316,
        0.0474672,
        0.0475723,
        0.045889,
        0.0452017,
        0.0448878,
        0.0447859,
        0.0448144,
        0.0442635,
        0.0437284,
        0.0436785,
        0.0430964,
        0.0429009,
        0.0428341,
        0.0426421,
        0.042489,
        0.0425619,
        0.0431068,
        0.0432772,
        0.043525,
        0.0443248,
        0.0441259,
        0.0437919,
        0.0433277,
        0.0424081,
        0.0420859,
        0.042112,
        0.0422274,
        0.0427233,
        0.0429463,
        0.0427547,
        0.0425813,
        0.0421884,
        0.042458,
        0.0422925,
        0.0461044,
        0.0466217,
        0.0431369,
        0.0436036,
        0.0438245,
        0.0434931,
        0.04323,
        0.0430092,
        0.0433569,
        0.0428193,
        0.0427197,
        0.0428796,
        0.0422521,
        0.0418158,
        0.042183,
        0.042197,
        0.0417475,
        0.041971,
        0.0421087,
        0.0421454,
        0.0424574,
        0.042467,
        0.0422348,
        0.042462,
        0.0423777,
        0.042117,
        0.0417419,
        0.0415688,
        0.0415721,
        0.0411252,
        0.040832,
        0.0409068,
        0.0405417,
        0.0404627,
        0.0405971,
        0.0404064,
        0.0404757,
        0.0407128,
        0.0412453,
        0.0409722,
        0.0412038,
        0.0413123,
        0.0415023,
        0.0411394,
        0.0411445,
        0.0418993,
        0.0424774,
        0.0430557,
        0.0437107,
        0.0442543,
        0.0449913,
        0.0460428,
        0.0475098,
        0.0491359,
        0.0519786,
        0.0541472,
        0.0579943,
        0.0637079,
        0.0717194,
        0.0816194,
        0.0945158,
        0.113013,
        0.131001,
        0.135852,
        0.126428,
        0.11308,
        0.0940771,
        0.0798232,
        0.0718641,
        0.0650053,
        0.0595148,
        0.0565356,
        0.053481,
        0.0507609,
        0.0496304,
        0.0487386,
        0.047126,
        0.0464519,
        0.0461471,
        0.0463496,
        0.0461133,
        0.0458536,
        0.0453806,
        0.0456242,
        0.0451218,
        0.0448549,
        0.0442461,
        0.0452166,
        0.0459304,
        0.0443078,
        0.0447576,
        0.0455937,
        0.0465269,
        0.0469692,
        0.0547592,
        0.055921,
        0.0490445,
        0.0497612,
        0.0495171,
        0.0493405,
        0.049158,
        0.0485434,
        0.04742,
        0.0471335,
        0.0472108,
        0.0472351,
        0.0475925,
        0.0476042,
        0.0472061,
        0.0467778,
        0.0469065,
        0.0469182,
        0.046913,
        0.047138,
        0.0476435,
        0.0481686,
        0.0495238,
        0.050481,
        0.0509069,
        0.0519622,
        0.052613,
        0.0528131,
        0.053121,
        0.0535527,
        0.0543328,
        0.0545081,
        0.0550666,
        0.0564842,
        0.0575097,
        0.0588803,
        0.0600035,
        0.0606934,
        0.0621247,
        0.0634467,
        0.0647982,
        0.066858,
        0.0682007,
        0.0714286,
        0.0749095,
        0.0770921,
        0.0819298,
        0.0839683,
        0.0876858,
        0.092416,
        0.0959203,
        0.102534,
        0.112845,
        0.125216,
        0.135011,
        0.148547,
        0.166221,
        0.186645,
        0.208652,
        0.273706,
        0.230327,
        0.203633,
        0.184548,
        0.168,
        0.150174,
        0.140725,
        0.131843,
        0.122608,
        0.118805,
        0.11367,
        0.109402,
        0.103671,
        0.0998564,
        0.0987611,
        0.0977182,
        0.0964389,
        0.0942632,
        0.0927925,
        0.0927861,
        0.0930358,
        0.0931868,
        0.0928921,
        0.091759,
        0.0934258,
        0.0936317,
        0.0926458,
        0.0923926,
        0.0913403,
        0.0895653,
        0.0909733,
        0.089661,
        0.084586,
        0.0811868,
        0.0778417,
        0.0728341,
        0.0662034,
        0.0612725,
        0.0569902,
        0.0534383,
        0.0509044,
        0.0501562,
        0.0499002,
        0.0494957,
        0.049386,
        0.0489949,
        0.048456,
        0.0487886,
        0.0490309,
        0.049113,
        0.0504121,
        0.05273,
        0.0565697,
        0.0620052,
        0.0674064,
        0.0753867,
        0.0853672,
        0.0908808,
        0.0911699,
        0.085383,
        0.0752387,
        0.0656768,
        0.0593549,
        0.055118,
        0.0514061,
        0.0482854,
        0.0459648,
        0.0443008,
        0.0433192,
        0.0422574,
        0.0421622,
        0.0416112,
        0.0403381,
        0.0400269,
        0.0396617,
        0.038979,
        0.0388587,
        0.0386534,
        0.0382432,
        0.0374616,
        0.0374677,
        0.0373715,
        0.0376832,
        0.0377969,
        0.0376182,
        0.0371805,
        0.0371803,
        0.0373027,
        0.0376399,
        0.0376152,
        0.0374463,
        0.0370584,
        0.0381912,
        0.0380088,
        0.0364555,
        0.0358654,
        0.0356992,
        0.0356379,
        0.0349734,
        0.0344872,
        0.0346396,
        0.034206,
        0.0345109,
        0.0339068,
        0.0332731,
        0.0335506,
        0.0334662,
        0.0333078,
        0.0332164,
        0.0330694,
        0.0330234,
        0.0333711,
        0.0330523,
        0.03298,
        0.0332746,
        0.0330529,
        0.0330506,
        0.0330687,
        0.033029,
        0.0332195,
        0.0333415,
        0.0336112,
        0.0336723,
        0.0338276,
        0.0339536,
        0.0372641,
        0.0375084,
        0.0344771,
        0.0348466,
        0.0348538,
        0.0348342,
        0.0351996,
        0.0354793,
        0.0355421,
        0.0356953,
        0.035491,
        0.037189,
        0.0381875,
        0.0347305,
        0.0346542,
        0.0342906,
        0.0341582,
        0.0341378,
        0.0340704,
        0.0339927,
        0.0339238,
        0.0335924,
        0.0336009,
        0.0339595,
        0.033567,
        0.0333858,
        0.0332323,
        0.0331566,
        0.0328585,
        0.0329,
        0.0329424,
        0.032875,
        0.0327244,
        0.0327632,
        0.0325827,
        0.0324146,
        0.0323536,
        0.0321207,
        0.0319829,
        0.0352523,
        0.0353805,
        0.0333199,
        0.0333611,
        0.031633,
        0.0314002,
        0.0311942,
        0.0313534,
        0.0317001,
        0.0315558,
        0.0314761,
        0.0315604,
        0.031369,
        0.0314624,
        0.0316991,
        0.032075,
        0.0319492,
        0.032051,
        0.0323135,
        0.0326757,
        0.0328558,
        0.0330048,
        0.0330447,
        0.0334479,
        0.0336621,
        0.0335084,
        0.0333048,
        0.0331921,
        0.0331876,
        0.0330938,
        0.0329986,
        0.0331273,
        0.0330114,
        0.0329192,
        0.0329895,
        0.03324,
        0.0337097,
        0.0340628,
        0.0343727,
        0.0343183,
        0.034311,
        0.0347399,
        0.0348542,
        0.0348041,
        0.0347585,
        0.034722,
        0.0352371,
        0.0358406,
        0.0366173,
        0.0367709,
        0.0372079,
        0.0379802,
        0.0383431,
        0.0382786,
        0.0385701,
        0.0388475,
        0.040355,
        0.041746,
        0.041766,
        0.0440226,
        0.0469248,
        0.0499005,
        0.0547688,
        0.0593571,
        0.0630085,
        0.0634494,
        0.060746,
        0.0554203,
        0.0509028,
        0.0469454,
        0.044273,
        0.0422472,
        0.0414682,
        0.0408547,
        0.0404089,
        0.0404171,
        0.0403835,
        0.0400712,
        0.0388571,
        0.0377435,
        0.0363211,
        0.0357064,
        0.0354907,
        0.0354417,
        0.0355382,
        0.0356096,
        0.0360697,
        0.0360634,
        0.0366142,
        0.0366945,
        0.037068,
        0.0379702,
        0.0390807,
        0.0400251,
        0.0403561,
        0.0399042,
        0.0391652,
        0.0391216,
        0.0377049,
        0.0362808,
        0.0353096,
        0.0346791,
        0.0344061,
        0.0339636,
        0.0336202,
        0.0335651,
        0.0331429,
        0.0328423,
        0.032611,
        0.0325378,
        0.0324729,
        0.0326394,
        0.0329086,
        0.0327344,
        0.0324605,
        0.0322145,
        0.0318714,
        0.0318781,
        0.0318477,
        0.0317461,
        0.0313878,
        0.0315483,
        0.0314625,
        0.0314901,
        0.0313482,
        0.0313721,
        0.0313204,
        0.0311877,
        0.0310996,
        0.0312168,
        0.0316207,
        0.031728,
        0.0317776,
        0.0322038,
        0.0326398,
        0.0325836,
        0.032802,
        0.0328688,
        0.0327862,
        0.0326892,
        0.032523,
        0.0337697,
        0.0344593,
        0.0332062,
        0.0333409,
        0.0330055,
        0.0329839,
        0.0333735,
        0.0333429,
        0.0332035,
        0.0332599,
        0.0333737,
        0.0335231,
        0.0337741,
        0.0337956,
        0.0335961,
        0.0337804,
        0.0355639,
        0.0358179,
        0.0339853,
        0.0338464,
        0.0339522,
        0.0341348,
        0.0342667,
        0.0343149,
        0.0342379,
        0.034433,
        0.0340294,
        0.0341876,
        0.0342788,
        0.0344789,
        0.034684,
        0.0347973,
        0.0347892,
        0.034678,
        0.0347721,
        0.0345768,
        0.0349549,
        0.0359305,
        0.0364045,
        0.0364126,
        0.0370632,
        0.0369019,
        0.0375362,
        0.0383915,
        0.0387733,
        0.0454582,
        0.045799,
        0.0393024,
        0.0396362,
        0.0395668,
        0.0394081,
        0.0396721,
        0.0401996,
        0.0404206,
        0.0412954,
        0.0418668,
        0.0425088,
        0.0436408,
        0.044573,
        0.0457963,
        0.047624,
        0.0493993,
        0.0514341,
        0.0543762,
        0.0573264,
        0.0618858,
        0.0653481,
        0.0712816,
        0.0771905,
        0.0849956,
        0.0948764,
        0.104178,
        0.115688,
        0.133368,
        0.155869,
        0.201325,
        0.256224,
        0.277601,
        0.231144,
        0.191993,
        0.157163,
        0.133272,
        0.116207,
        0.10212,
        0.0923465,
        0.0872744,
        0.0849836,
        0.081541,
        0.0814088,
        0.0831579,
        0.0784872,
        0.0749186,
        0.069357,
        0.0631758,
        0.0576426,
        0.0540644,
        0.0504819,
        0.0480159,
        0.0461987,
        0.0439085,
        0.04239,
        0.0417299,
        0.0400797,
        0.0395516,
        0.0386712,
        0.0376723,
        0.0370989,
        0.0366619,
        0.0362786,
        0.0362787,
        0.0358764,
        0.0357148,
        0.0359103,
        0.0355173,
        0.0350733,
        0.0350254,
        0.0351959,
        0.0349717,
        0.0349525,
        0.0349042,
        0.0343487,
        0.0344253,
        0.0340776,
        0.0341103,
        0.036082,
        0.0416785,
        0.0362498,
        0.0338224,
        0.0340926,
        0.0338725,
        0.0338769,
        0.0338307,
        0.0333701,
        0.0333173,
        0.0346577,
        0.0344349,
        0.033672,
        0.0334422,
        0.0338408,
        0.0359313,
        0.0351695,
        0.0333235,
        0.0329679,
        0.0332174,
        0.0331936,
        0.033164,
        0.0352153,
        0.0364579,
        0.0341351,
        0.0343757,
        0.0342856,
        0.0340768,
        0.0339231,
        0.0341902,
        0.0340698,
        0.0340058,
        0.0332207,
        0.0328204,
        0.0325691,
        0.0320229,
        0.0320709,
        0.0317166,
        0.0311813,
        0.0309008,
        0.0308168,
        0.0309352,
        0.030898,
        0.0333783,
        0.0327225,
        0.0306308,
        0.0304147,
        0.0305858,
        0.0310787,
        0.0311239,
        0.0313198,
        0.0311556,
        0.0309857,
        0.0306849,
        0.0305672,
        0.0304729,
        0.0303212,
        0.0306174,
        0.0306675,
        0.0307772,
        0.0311542,
        0.0310747,
        0.0311494,
        0.0311816,
        0.0313238,
        0.0313627,
        0.0316018,
        0.0319249,
        0.0325516,
        0.0323774,
        0.0321278,
        0.0318321,
        0.031547,
        0.0317931,
        0.0317372,
        0.0316718,
        0.031728,
        0.0348054,
        0.0338342,
        0.0317463,
        0.0314032,
        0.0311789,
        0.0312771,
        0.0312456,
        0.0309694,
        0.0310324,
        0.0312825,
        0.030907,
        0.0307259,
        0.0309998,
        0.0310599,
        0.0311079,
        0.0310627,
        0.0313632,
        0.0314812,
        0.0306266,
        0.0304691,
        0.0304644,
        0.0302361,
        0.0300387,
        0.0299294,
        0.0297858,
        0.02994,
        0.0302839,
        0.0299155,
        0.0302154,
        0.0304877,
        0.0306306,
        0.0308606,
        0.0313094,
        0.0314613,
        0.0315293,
        0.0317304,
        0.0316598,
        0.0332644,
        0.032971,
        0.0325132,
        0.032113,
        0.0326603,
        0.0355173,
        0.0359497,
        0.0320023,
        0.0321758,
        0.0323583,
        0.0321295,
        0.032085,
        0.03221,
        0.032385,
        0.0326651,
        0.0328249,
        0.0328538,
        0.0333143,
        0.0340863,
        0.035446,
        0.0362951,
        0.0370448,
        0.0376803,
        0.0398987,
        0.0411369,
        0.0431374,
        0.0467581,
        0.0495763,
        0.0508471,
        0.0507874,
        0.0492219,
        0.0460838,
        0.0441409,
        0.0421637,
        0.0405017,
        0.0397712,
        0.0385079,
        0.0379208,
        0.0373801,
        0.0372067,
        0.0368223,
        0.036375,
        0.0360084,
        0.0355732,
        0.035637,
        0.0353671,
        0.034635,
        0.0343206,
        0.0339086,
        0.0333492,
        0.0332204,
        0.0367363,
        0.0369351,
        0.0324919,
        0.0320555,
        0.0321196,
        0.0319592,
        0.0313255,
        0.031035,
        0.0316924,
        0.0314755,
        0.0311637,
        0.0311219,
        0.030734,
        0.0309379,
        0.0313682,
        0.0329255,
        0.034048,
        0.0315924,
        0.0307751,
        0.0308182,
        0.0313743,
        0.0317403,
        0.0316807,
        0.0314573,
        0.0311931,
        0.0318471,
        0.0316804,
        0.0320096,
        0.0326524,
        0.0332044,
        0.0328051,
        0.0326201,
        0.0330815,
        0.0336608,
        0.0335543,
        0.0340836,
        0.0340385,
        0.0334018,
        0.0333868,
        0.0329069,
        0.0328434,
        0.0327358,
        0.032214,
        0.0320834,
        0.032307,
        0.0321678,
        0.0320126,
        0.0319666,
        0.0317383,
        0.0319519,
        0.0318089,
        0.0316981,
        0.0318358,
        0.032002,
        0.0318197,
        0.0317189,
        0.0317034,
        0.031575,
        0.0314675,
        0.0310536,
        0.0310236,
        0.0309335,
        0.0310558,
        0.0310966,
        0.0309415,
        0.0352892,
        0.035335,
        0.0303429,
        0.0345822,
        0.0349226,
        0.0309947,
        0.0310895,
        0.0306288,
        0.0305969,
        0.0304756,
        0.0302795,
        0.0301939,
        0.0303474,
        0.0303944,
        0.0303844,
        0.0306869,
        0.0307453,
        0.0307609,
        0.0308778,
        0.031003,
        0.0309744,
        0.0312575,
        0.0311741,
        0.0311902,
        0.0318056,
        0.0321199,
        0.0321566,
        0.0318618,
        0.0328877,
        0.0326415,
        0.0318556,
        0.0324584,
        0.0326385,
        0.0318359,
        0.0318459,
        0.0320158,
        0.0348027,
        0.0339652,
        0.0322425,
        0.0322777,
        0.0319445,
        0.0318283,
        0.0316088,
        0.0318818,
        0.0343026,
        0.03393,
        0.031716,
        0.0315545,
        0.0313603,
        0.0314533,
        0.0317763,
        0.0319214,
        0.0323061,
        0.0322418,
        0.0323772,
        0.0324849,
        0.032357,
        0.0320586,
        0.0317758,
        0.0318388,
        0.0317112,
        0.0313613,
        0.0316122,
        0.0316577,
        0.0312791,
        0.0312345,
        0.0314665,
        0.0312814,
        0.0311209,
        0.0313235,
        0.0313732,
        0.0309019,
        0.0311316,
        0.0310804,
        0.0311399,
        0.0312951,
        0.0314976,
        0.0315899,
        0.0317981,
        0.0319866,
        0.0323565,
        0.0328291,
        0.0332402,
        0.0343438,
        0.035016,
        0.0356441,
        0.0368695,
        0.0382798,
        0.0398602,
        0.0412722,
        0.0416905,
        0.0416801,
        0.0413597,
        0.0409446,
        0.0400312,
        0.0389441,
        0.0389733,
        0.0393424,
        0.0403249,
        0.0405512,
        0.0395785,
        0.039246,
        0.0379023,
        0.0368217,
        0.0363032,
        0.0356188,
        0.0351835,
        0.0344988,
        0.0340842,
        0.0338726,
        0.0337356,
        0.0338209,
        0.0335362,
        0.0332223,
        0.0329568,
        0.0324447,
        0.0325663,
        0.0325672,
        0.0319383,
        0.0321579,
        0.032008,
        0.0324425,
        0.0340114,
        0.0334397,
        0.0322976,
        0.0346663,
        0.0341662,
        0.0317244,
        0.0317652,
        0.0321916,
        0.0364707,
        0.0365567,
        0.0320661,
        0.0323688,
        0.0318855,
        0.0326407,
        0.0341754,
        0.0360032,
        0.0320571,
        0.0323901,
        0.0328845,
        0.03306,
        0.0330567,
        0.0332026,
        0.033295,
        0.0328223,
        0.0328833,
        0.0327529,
        0.0327086,
        0.0327663,
        0.0325054,
        0.0325836,
        0.0326943,
        0.0326661,
        0.0330682,
        0.0331559,
        0.0333273,
        0.0334603,
        0.0333851,
        0.0338985,
        0.0344617,
        0.0355055,
        0.0357496,
        0.0351305,
        0.0352565,
        0.0360254,
        0.0366092,
        0.0369886,
        0.0379397,
        0.0390185,
        0.0402269,
        0.0415745,
        0.0425942,
        0.0433162,
        0.0434001,
        0.0423073,
        0.0411014,
        0.0398507,
        0.0382567,
        0.0374936,
        0.0366423,
        0.0357008,
        0.0351206,
        0.0345782,
        0.034582,
        0.0343976,
        0.0344796,
        0.0343409,
        0.0344813,
        0.0349745,
        0.035055,
        0.0353747,
        0.0358229,
        0.0367976,
        0.037693,
        0.0388213,
        0.0405974,
        0.0435031,
        0.0468576,
        0.0514856,
        0.0552696,
        0.0585532,
        0.066114,
        0.0647077,
        0.0587931,
        0.055344,
        0.0476351,
        0.0443742,
        0.0413448,
        0.0391349,
        0.0378183,
        0.0366518,
        0.0362881,
        0.0359527,
        0.0361217,
        0.0353329,
        0.0344515,
        0.03467,
        0.0346368,
        0.0360436,
        0.0351177,
        0.0347819,
        0.0345293,
        0.0347435,
        0.0350061,
        0.0347107,
        0.0346697,
        0.0348753,
        0.0346572,
        0.034596,
        0.0342561,
        0.0340446,
        0.0378025,
        0.0374737,
        0.0343108,
        0.0341549,
        0.0343001,
        0.0339807,
        0.0335744,
        0.03348,
        0.0335779,
        0.0335949,
        0.0332185,
        0.0330823,
        0.0330757,
        0.0331069,
        0.0335009,
        0.0333639,
        0.0330464,
        0.0331563,
        0.0329532,
        0.034991,
        0.0350007,
        0.0327929,
        0.032576,
        0.0328037,
        0.0332449,
        0.0333811,
        0.033255,
        0.0326835,
        0.0325024,
        0.0326563,
        0.0331867,
        0.0357505,
        0.0354247,
        0.0346249,
        0.0352745,
        0.0358018,
        0.0362425,
        0.037538,
        0.0382309,
        0.0381135,
        0.0376923,
        0.0367042,
        0.0360055,
        0.0359449,
        0.0358747,
        0.0357369,
        0.0354428,
        0.0349122,
        0.0352878,
        0.035865,
        0.0364743,
        0.0391733,
        0.039065,
        0.0380242,
        0.04113,
        0.0416177,
        0.0414025,
        0.0423197,
        0.0424951,
        0.0423158,
        0.0413375,
        0.0403508,
        0.0386922,
        0.0407419,
        0.0396997,
        0.036377,
        0.0361077,
        0.0359869,
        0.035303,
        0.0348066,
        0.034779,
        0.0345763,
        0.0346957,
        0.0346695,
        0.0345784,
        0.0348807,
        0.0349472,
        0.0348156,
        0.0350034,
        0.0348774,
        0.0345881,
        0.0350236,
        0.035387,
        0.0358838,
        0.0351267,
        0.0358457,
        0.0355357,
        0.0340506,
        0.033978,
        0.0339358,
        0.0337861,
        0.033315,
        0.0336111,
        0.0334717,
        0.0333166,
        0.0335569,
        0.0334806,
        0.0334113,
        0.0329609,
        0.0329727,
        0.0331506,
        0.0331943,
        0.0334677,
        0.0333108,
        0.0331556,
        0.0332233,
        0.033839,
        0.0341233,
        0.0356352,
        0.0354307,
        0.033963,
        0.0344772,
        0.0350655,
        0.0346239,
        0.0346434,
        0.0358259,
        0.0358269,
        0.0351929,
        0.035019,
        0.0354026,
        0.0394346,
        0.0374733,
        0.0349246,
        0.036248,
        0.0354937,
        0.0347099,
        0.03457,
        0.0351695,
        0.0355259,
        0.0388517,
        0.0401216,
        0.0354088,
        0.035416,
        0.0356723,
        0.0357364,
        0.0355555,
        0.0355292,
        0.0357482,
        0.0357939,
        0.0354354,
        0.0353656,
        0.0354534,
        0.0358615,
        0.0354986,
        0.0355334,
        0.0358187,
        0.0357198,
        0.0358541,
        0.0357507,
        0.0360341,
        0.0356551,
        0.0355106,
        0.0352412,
        0.0349882,
        0.0354472,
        0.0405959,
        0.0388063,
        0.035047,
        0.0354757,
        0.0362417,
        0.0411181,
        0.0439158,
        0.0391518,
        0.0353245,
        0.0355088,
        0.0363404,
        0.0370757,
        0.0374268,
        0.0375193,
        0.0378408,
        0.0386367,
        0.0387793,
        0.0385927,
        0.0387564,
        0.0389618,
        0.0390876,
        0.0389906,
        0.038897,
        0.038662,
        0.0399537,
        0.0390004,
        0.0384292,
        0.0381713,
        0.0381235,
        0.0382548,
        0.0380724,
        0.0379248,
        0.0382649,
        0.0379233,
        0.037967,
        0.0380201,
        0.0380387,
        0.0383766,
        0.0385343,
        0.0385869,
        0.0382359,
        0.0384224,
        0.0385797,
        0.0381696,
        0.0382751,
        0.0385741,
        0.0390662,
        0.0391311,
        0.0397374,
        0.0391555,
        0.0384571,
        0.0382713,
        0.0381824,
        0.0382003,
        0.0384681,
        0.0384722,
        0.0387062,
        0.039287,
        0.0393899,
        0.0394329,
        0.0398906,
        0.0399999,
        0.0409853,
        0.0413488,
        0.0421893,
        0.0425719,
        0.0428832,
        0.0427098,
        0.0423104,
        0.0415345,
        0.0414321,
        0.0417342,
        0.0411468,
        0.0411076,
        0.0404089,
        0.0401318,
        0.0398445,
        0.0395213,
        0.0399871,
        0.0401636,
        0.0411656,
        0.0412343,
        0.0408527,
        0.0409831,
        0.0482292,
        0.0509116,
        0.0434784,
        0.0433035,
        0.0441758,
        0.0444317,
        0.0450341,
        0.0461193,
        0.0475729,
        0.0493667,
        0.0518584,
        0.0534213,
        0.0581485,
        0.0587746,
        0.0547657,
        0.0528706,
        0.0518671,
        0.0510079,
        0.0508069,
        0.0499786,
        0.0498404,
        0.0487904,
        0.0486518,
        0.0485057,
        0.0488405,
        0.0530734,
        0.0529217,
        0.0528891,
        0.0528157,
        0.0486329,
        0.0489446,
        0.0492846,
        0.0488771,
        0.0494745,
        0.0492085,
        0.0498144,
        0.049702,
        0.0491766,
        0.0499836,
        0.0503081,
        0.0505721,
        0.0508152,
        0.050893,
        0.0519649,
        0.0532196,
        0.053553,
        0.0533581,
        0.0540243,
        0.0549261,
        0.055289,
        0.0552875,
        0.0563305,
        0.0566859,
        0.0572118,
        0.0579317,
        0.0700774,
        0.066979,
        0.0605151,
        0.0620297,
        0.064057,
        0.0654494,
        0.0664751,
        0.0672802,
        0.0687433,
        0.0699591,
        0.0735228,
        0.0759674,
        0.0786149,
        0.0822038,
        0.0853062,
        0.0882611,
        0.0893223,
        0.0941976,
        0.0988187,
        0.10559,
        0.110537,
        0.118041,
        0.12616,
        0.139546,
        0.146711,
        0.160314,
        0.174896,
        0.200552,
        0.23311,
        0.270972,
        0.320822,
        0.293557,
        0.254581,
        0.249906,
        0.22204,
        0.206904,
        0.198541,
        0.1987,
        0.204042,
        0.209434,
        0.210264,
        0.248916,
        0.252714,
        0.232956,
        0.205621,
        0.185951,
        0.178837,
        0.159448,
        0.150373,
        0.143268,
        0.135488,
        0.126121,
        0.120308,
        0.117806,
        0.117145,
        0.105253,
        0.0993091,
        0.0984823,
        0.101606,
        0.100028,
        0.0911195,
        0.0862938,
        0.101036,
        0.100466,
        0.0842051,
        0.0839854,
        0.081912,
        0.0805579,
        0.0786804,
        0.0760375,
        0.0761156,
        0.0757446,
        0.0755866,
        0.0748199,
        0.0739254,
        0.0745784,
        0.0762693,
        0.0801755,
        0.0832238,
        0.0867689,
        0.0922492,
        0.0973832,
        0.0923051,
        0.0863551,
        0.0805184,
        0.0755565,
        0.07358,
        0.0737437,
        0.0684958,
        0.0677851,
        0.0667118,
        0.0642387,
        0.0626899,
        0.0618764,
        0.0626224,
        0.0614603,
        0.0617354,
        0.0615357,
        0.0614282,
        0.0629229,
        0.0610045,
        0.058603,
        0.059019,
        0.0588643,
        0.0588175,
        0.0587004,
        0.0589926,
        0.0588251,
        0.057322,
        0.05675,
        0.0670769,
        0.0667448,
        0.0557871,
        0.0558073,
        0.054981,
        0.0534287,
        0.0524123,
        0.0511883,
        0.050573,
        0.0503645,
        0.0498181,
        0.0495262,
        0.0496896,
        0.0600331,
        0.058342,
        0.0485625,
        0.0482561,
        0.0483355,
        0.0474156,
        0.0470798,
        0.0464602,
        0.0468056,
        0.0468572,
        0.0465437,
        0.0465829,
        0.047117,
        0.0469207,
        0.0470242,
        0.0479223,
        0.0471042,
        0.0508821,
        0.0514063,
        0.0468572,
        0.0470879,
        0.0468695,
        0.0468118,
        0.0466291,
        0.0463765,
        0.0472278,
        0.0474604,
        0.0476917,
        0.0482431,
        0.0487839,
        0.0478308,
        0.0474189,
        0.048516,
        0.0512398,
        0.0521374,
        0.0480655,
        0.0481996,
        0.0474901,
        0.0475166,
        0.0470666,
        0.0472234,
        0.0469135,
        0.046636,
        0.0472732,
        0.0470931,
        0.0480967,
        0.04827,
        0.0470331,
        0.04706,
        0.0471314,
        0.0471102,
        0.0475228,
        0.0467145,
        0.0469205,
        0.0473509,
        0.0473082,
        0.0468543,
        0.0463773,
        0.0471145,
        0.0473887,
        0.0482605,
        0.0520533,
        0.0518479,
        0.0482336,
        0.0484125,
        0.048028,
        0.0488815,
        0.0490791,
        0.0491254,
        0.0486219,
        0.0485454,
        0.0481059,
        0.0480732,
        0.0474254,
        0.0468357,
        0.0468495,
        0.0470196,
        0.0462801,
        0.0454228,
        0.0454634,
        0.0459161,
        0.0459512,
        0.0459354,
        0.0452798,
        0.0458538,
        0.0457317,
        0.0457787,
        0.045501,
        0.0455244,
        0.0462516,
        0.0467451,
        0.0478563,
        0.0485892,
        0.0471344,
        0.0472824,
        0.046611,
        0.0466076,
        0.047273,
        0.0474311,
        0.0480112,
        0.0481814,
        0.0481886,
        0.0482809,
        0.0483987,
        0.0489173,
        0.0494669,
        0.0493236,
        0.0484861,
        0.0495611,
        0.0493375,
        0.0471039,
        0.047181,
        0.0470895,
        0.0471039,
        0.0563329,
        0.0567899,
        0.0480599,
        0.0471828,
        0.0480778,
        0.0476901,
        0.0484108,
        0.0484916,
        0.0485593,
        0.0493146,
        0.0496316,
        0.0486133,
        0.0481678,
        0.0471658,
        0.0472674,
        0.0470834,
        0.0468129,
        0.0461841,
        0.045816,
        0.0461882,
        0.0457542,
        0.0458068,
        0.045866,
        0.046028,
        0.0458916,
        0.0464714,
        0.0497243,
        0.0495901,
        0.0460435,
        0.0467057,
        0.0466743,
        0.0482044,
        0.0479256,
        0.0479003,
        0.0479241,
        0.0490877,
        0.0502221,
        0.0509479,
        0.0565036,
        0.0583594,
        0.0560119,
        0.0591555,
        0.0622438,
        0.0646645,
        0.0661261,
        0.064533,
        0.0608409,
        0.0580981,
        0.0558515,
        0.0547592,
        0.0532453,
        0.0521169,
        0.0515031,
        0.0563523,
        0.0581813,
        0.0508626,
        0.0508048,
        0.050977,
        0.0508253,
        0.0502185,
        0.0496953,
        0.0507359,
        0.0504469,
        0.0505662,
        0.0507418,
        0.0513845,
        0.0509301,
        0.0509042,
        0.0506929,
        0.0507795,
        0.0506725,
        0.0502237,
        0.0501261,
        0.0503391,
        0.0552416,
        0.0531832,
        0.0504353,
        0.0502231,
        0.0496097,
        0.0493718,
        0.0495682,
        0.0497295,
        0.0492828,
        0.0492974,
        0.0497332,
        0.0491283,
        0.0484376,
        0.0485822,
        0.0496358,
        0.04864,
        0.0484938,
        0.0486911,
        0.0486835,
        0.0482152,
        0.0484259,
        0.0482829,
        0.0486991,
        0.048465,
        0.0492283,
        0.0494694,
        0.0499549,
        0.0497159,
        0.0498374,
        0.0493073,
        0.0550308,
        0.0556806,
        0.0501465,
        0.0501194,
        0.0504874,
        0.0506996,
        0.0604583,
        0.0599979,
        0.0504234,
        0.05053,
        0.0510433,
        0.0528265,
        0.0521495,
        0.0515833,
        0.0517964,
        0.0519082,
        0.0526516,
        0.052725,
        0.053776,
        0.0535016,
        0.0542754,
        0.0547677,
        0.0542009,
        0.0539294,
        0.054462,
        0.0558463,
        0.0567808,
        0.0635893,
        0.0601791,
        0.0565974,
        0.0561126,
        0.0559291,
        0.0571528,
        0.0572631,
        0.0579352,
        0.0586015,
        0.0580982,
        0.058683,
        0.0580089,
        0.0584734,
        0.0575535,
        0.0578755,
        0.0606554,
        0.0597893,
        0.0586377,
        0.059524,
        0.0595949,
        0.0609269,
        0.0613092,
        0.0606011,
        0.0608463,
        0.0620233,
        0.0609712,
        0.0609946,
        0.0613168,
        0.0617169,
        0.0631001,
        0.0644433,
        0.0630289,
        0.0639646,
        0.0643048,
        0.0642698,
        0.0657832,
        0.066196,
        0.065994,
        0.0659544,
        0.0672375,
        0.0683879,
        0.0689462,
        0.0696323,
        0.0711315,
        0.0715945,
        0.0726694,
        0.0734455,
        0.0731686,
        0.0757443,
        0.0785352,
        0.07783,
        0.0798034,
        0.0827853,
        0.0821391,
        0.0842182,
        0.0843827,
        0.0851983,
        0.0865341,
        0.0887264,
        0.0910384,
        0.0940122,
        0.0953969,
        0.0973447,
        0.100689,
        0.0999685,
        0.101358,
        0.110091,
        0.109117,
        0.112625,
        0.112399,
        0.115248,
        0.120706,
        0.128717,
        0.132766,
        0.136444,
        0.141526,
        0.146667,
        0.146075,
        0.157764,
        0.170689,
        0.182309,
        0.200585,
        0.215109,
        0.217315,
        0.227908,
        0.236909,
        null,
        0.0581404,
        0.0608543,
        0.061393,
        0.0572595,
        0.0562887,
        0.0654157,
        0.0654555,
        0.0571923,
        0.057061,
        0.0566409,
        0.0567416,
        0.0564374,
        0.05625,
        0.0569607,
        0.0630401,
        0.063182,
        0.057552,
        0.057895,
        0.0580561,
        0.0580788,
        0.0582151,
        0.0586341,
        0.0594677,
        0.0604036,
        0.0605355,
        0.0609421,
        0.0612781,
        0.0617003,
        0.0618819,
        0.0616689,
        0.0615,
        0.0610209,
        0.0619184,
        0.0623776,
        0.0622749,
        0.0627259,
        0.0632336,
        0.0631447,
        0.0633201,
        0.0637891,
        0.063997,
        0.0647291,
        0.0653631,
        0.0645383,
        0.0661183,
        0.067327,
        0.0682463,
        0.0688073,
        0.0703591,
        0.0707144,
        0.0720548,
        0.0728998,
        0.0725742,
        0.072632,
        0.0726369,
        0.0735194,
        0.074063,
        0.0764723,
        0.0775724,
        0.0799164,
        0.0844597,
        0.0881119,
        0.090463,
        0.0903697,
        0.0867019,
        0.0806531,
        0.0783424,
        0.078102,
        0.0776973,
        0.0778244,
        0.0788815,
        0.0781655,
        0.0781903,
        0.0794946,
        0.0798312,
        0.079384,
        0.0810656,
        0.0816037,
        0.0822116,
        0.084115,
        0.0841876,
        0.0852198,
        0.0866978,
        0.0869413,
        0.0879791,
        0.0903562,
        0.0914067,
        0.0930168,
        0.0962357,
        0.0966678,
        0.0974961,
        0.100493,
        0.104829,
        0.10728,
        0.109554,
        0.110759,
        0.112076,
        0.117299,
        0.121276,
        0.118607,
        0.12237,
        0.125458,
        0.129187,
        0.134784,
        0.13782,
        0.143313,
        0.149263,
        0.152012,
        0.157338,
        0.163618,
        0.172472,
        0.177097,
        0.19321,
        0.209749,
        0.225906,
        0.22037,
        0.254822,
        null,
        0.28666,
        0.276237,
        0.259979,
        0.256835,
        0.293396,
        0.279326,
        0.224136,
        0.209937,
        0.20283,
        0.192022,
        0.187123,
        0.190669,
        0.195698,
        0.195325,
        0.189337,
        0.177746,
        0.177164,
        0.17105,
        0.175108,
        0.167612,
        0.166291,
        0.168104,
        0.160406,
        0.158131,
        0.158335,
        0.156759,
        0.154087,
        0.150351,
        0.152106,
        0.151252,
        0.154661,
        0.159309,
        0.155064,
        0.153067,
        0.166852,
        0.160388,
        0.155226,
        0.152943,
        0.155441,
        0.156629,
        0.156486,
        0.156558,
        0.157511,
        0.158163,
        0.157603,
        0.158756,
        0.168948,
        0.171939,
        0.170664,
        0.172536,
        0.159307,
        0.170166,
        0.186248,
        0.1876,
        0.200161,
        0.199112,
        0.195999,
        0.207642,
        0.210723,
        0.209457,
        0.2193,
        0.21972,
        0.223411,
        0.224031,
        0.23964,
        0.246976,
        0.276173,
        null,
        0.212123,
        0.202823,
        0.201702,
        0.190349,
        0.180449,
        0.175158,
        0.174978,
        0.169246,
        0.16799,
        0.160805,
        0.155831,
        0.156897,
        0.150837,
        0.14735,
        0.14542,
        0.141227,
        0.136199,
        0.137858,
        0.137808,
        0.131561,
        0.128884,
        0.129361,
        0.123962,
        0.122067,
        0.121741,
        0.118016,
        0.114811,
        0.114014,
        0.114605,
        0.112279,
        0.10863,
        0.106585,
        0.104327,
        0.104578,
        0.102601,
        0.10204,
        0.100516,
        0.0994077,
        0.0960201,
        0.0954504,
        0.0952691,
        0.0934174,
        0.0926405,
        0.0928425,
        0.0913157,
        0.0892615,
        0.0900849,
        0.0908041,
        0.0874958,
        0.0879353,
        0.0872108,
        0.085243,
        0.0835867,
        0.0828819,
        0.081844,
        0.081766,
        0.0808088,
        0.0779738,
        0.0758613,
        0.0760725,
        0.0754728,
        0.0749431,
        0.0738063,
        0.0756209,
        0.0746269,
        0.0712251,
        0.0710503,
        0.0704043,
        0.0701275,
        0.0691802,
        0.0681036,
        0.0674199,
        0.0673622,
        0.0666688,
        0.0662625,
        0.0663318,
        0.0657258,
        0.065561,
        0.0660793,
        0.0654207,
        0.0645,
        0.06389,
        0.064314,
        0.0631639,
        0.0625039,
        0.062679,
        0.0628385,
        0.0624505,
        0.0626333,
        0.0627889,
        0.0638056,
        0.062996,
        0.0631102,
        0.0627837,
        0.0653476,
        0.0652986,
        0.0674545,
        0.0661533,
        0.063465,
        0.0628375,
        0.0634297,
        0.0636002,
        0.0640819,
        0.0648039,
        0.0644031,
        0.0638942,
        0.0638196,
        0.0632014,
        0.0619337,
        0.0612798,
        0.0611564,
        0.0608436,
        0.0603074,
        0.0585046,
        0.0583356,
        0.0588171,
        0.0584368,
        0.0581109,
        0.0584045,
        0.0578173,
        0.0583289,
        0.0591697,
        0.0606977,
        0.0614864,
        0.0635702,
        0.0656888,
        0.0671217,
        0.0665467,
        0.0640711,
        0.061137,
        0.0591836,
        0.0568891,
        0.0558983,
        0.0547525,
        0.0537326,
        0.0529525,
        0.0528687,
        0.052471,
        0.0519388,
        0.0521331,
        0.0520482,
        0.0516193,
        0.0512957,
        0.0511274,
        0.0512425,
        0.0519103,
        0.0519179,
        0.0521054,
        0.0513338,
        0.0507172,
        0.0513908,
        0.0510907,
        0.0519083,
        0.0531636,
        0.0533212,
        0.0533578,
        0.0546305,
        0.055,
        0.0553515,
        0.0561139,
        0.0560971,
        0.0559936,
        0.0546008,
        0.0542742,
        0.0535482,
        0.0528985,
        0.0523578,
        0.0525429,
        0.0523844,
        0.0521628,
        0.0522064,
        0.0521911,
        0.0522354,
        0.0523694,
        0.0516446,
        0.0514158,
        0.0511537,
        0.0506529,
        0.0498604,
        0.0496584,
        0.0495822,
        0.0492248,
        0.0492929,
        0.0488256,
        0.0478431,
        0.0478357,
        0.0477781,
        0.0476078,
        0.0474135,
        0.0470452,
        0.0465874,
        0.0466451,
        0.0467143,
        0.0490058,
        0.0501645,
        0.0469727,
        0.047624,
        0.0492191,
        0.0500217,
        0.0507398,
        0.0511122,
        0.0524818,
        0.0545559,
        0.0558611,
        0.0579309,
        0.0601001,
        0.0607788,
        0.0597809,
        0.0586147,
        0.0568004,
        0.0542396,
        0.052775,
        0.0510213,
        0.0511154,
        0.0490471,
        0.0484333,
        0.0479022,
        0.0465236,
        0.0463474,
        0.0459709,
        0.0456631,
        0.0450394,
        0.0449865,
        0.0451965,
        0.0450308,
        0.0447506,
        0.0444372,
        0.0445212,
        0.0447438,
        0.044795,
        0.0446512,
        0.0440086,
        0.0439656,
        0.0444674,
        0.0449986,
        0.0437459,
        0.0436786,
        0.0437559,
        0.0482841,
        0.0474697,
        0.042972,
        0.0422138,
        0.0423736,
        0.0424466,
        0.0420405,
        0.0415621,
        0.0414876,
        0.0417217,
        0.0416576,
        0.0410248,
        0.0407932,
        0.0409987,
        0.0411221,
        0.0409025,
        0.0411535,
        0.0424342,
        0.0429013,
        0.0406086,
        0.0410482,
        0.0404944,
        0.0408515,
        0.0410563,
        0.0407064,
        0.0407888,
        0.0406967,
        0.0410619,
        0.0417446,
        0.0420937,
        0.0421499,
        0.0428791,
        0.0424212,
        0.0416294,
        0.0410298,
        0.0407485,
        0.0408509,
        0.0405568,
        0.0403368,
        0.0403013,
        0.0402831,
        0.0404476,
        0.0401803,
        0.040534,
        0.0404492,
        0.0401475,
        0.0407762,
        0.0403241,
        0.0402805,
        0.0407571,
        0.0409302,
        0.0405526,
        0.0406859,
        0.0407466,
        0.0407993,
        0.0406286,
        0.0411311,
        0.041014,
        0.0409863,
        0.0412119,
        0.0411241,
        0.0409328,
        0.0407793,
        0.0409527,
        0.0413682,
        0.0411373,
        0.0417622,
        0.0421467,
        0.0428325,
        0.0437186,
        0.0441389,
        0.0452855,
        0.0471295,
        0.0493384,
        0.0506348,
        0.0504095,
        0.0487895,
        0.0472085,
        0.0452363,
        0.0435475,
        0.0422615,
        0.0414468,
        0.0407266,
        0.0398937,
        0.0398933,
        0.0406181,
        0.0413495,
        0.041209,
        0.03943,
        0.0395529,
        0.0389205,
        0.0390355,
        0.038606,
        0.0386815,
        0.0386891,
        0.038559,
        0.0386131,
        0.0383724,
        0.0385299,
        0.0384361,
        0.0386054,
        0.0387985,
        0.0389922,
        0.0394378,
        0.0392606,
        0.0391366,
        0.0394236,
        0.0394114,
        0.0392035,
        0.0394634,
        0.0397078,
        0.0396585,
        0.0398644,
        0.0426977,
        0.0422667,
        0.0398587,
        0.0394888,
        0.0394683,
        0.0395984,
        0.0396917,
        0.0393313,
        0.0395996,
        0.0392656,
        0.0387917,
        0.0416073,
        0.0420141,
        0.0402907,
        0.0401776,
        0.0393586,
        0.0387966,
        0.0389012,
        0.0390779,
        0.039393,
        0.0391768,
        0.0392004,
        0.0397863,
        0.0395063,
        0.0390385,
        0.0394673,
        0.0389767,
        0.0386991,
        0.0392661,
        0.0391929,
        0.0391956,
        0.0394495,
        0.039398,
        0.0399299,
        0.040519,
        0.0408832,
        0.0413182,
        0.0414602,
        0.0419227,
        0.0421126,
        0.0418647,
        0.0416199,
        0.0414353,
        0.0415139,
        0.0419502,
        0.0424441,
        0.0429815,
        0.0437151,
        0.0448405,
        0.0457307,
        0.0462584,
        0.0460212,
        0.0459157,
        0.0450527,
        0.0439428,
        0.0428222,
        0.0423945,
        0.0417913,
        0.041092,
        0.0409081,
        0.0408751,
        0.043351,
        0.0425439,
        0.0398255,
        0.0395216,
        0.0391171,
        0.0393608,
        0.0394557,
        0.0394213,
        0.0388916,
        0.0388265,
        0.0398593,
        0.0396086,
        0.038935,
        0.0387406,
        0.0383814,
        0.0392458,
        0.0390495,
        0.0383035,
        0.0389765,
        0.0383736,
        0.0380722,
        0.0377985,
        0.0374378,
        0.0380789,
        0.0382358,
        0.0374818,
        0.0374337,
        0.0370397,
        0.0368776,
        0.0371368,
        0.0371534,
        0.0368257,
        0.0371493,
        0.0370332,
        0.0368958,
        0.037309,
        0.0370681,
        0.0368853,
        0.0367766,
        0.0366748,
        0.0365016,
        0.036901,
        0.0370452,
        0.0373893,
        0.037623,
        0.0405458,
        0.0409311,
        0.0376018,
        0.0384071,
        0.038771,
        0.0381216,
        0.0380026,
        0.0383697,
        0.0386346,
        0.0384845,
        0.0384421,
        0.0390351,
        0.0396901,
        0.0408735,
        0.0412291,
        0.0405671,
        0.0410371,
        0.0414135,
        0.0423114,
        0.04363,
        0.0437181,
        0.0436421,
        0.0440845,
        0.0436353,
        0.0431019,
        0.042951,
        0.0427896,
        0.042098,
        0.0419279,
        0.0410746,
        0.040937,
        0.0435002,
        0.044112,
        0.0410602,
        0.0411347,
        0.0414057,
        0.0410918,
        0.0416072,
        0.0418995,
        0.0426402,
        0.0433139,
        0.0447366,
        0.0555173,
        0.0578058,
        0.0499832,
        0.049411,
        0.0479957,
        0.0464965,
        0.0447525,
        0.0440142,
        0.0423846,
        0.0404637,
        0.0402359,
        0.0394033,
        0.0390894,
        0.0388938,
        0.038706,
        0.038284,
        0.0383156,
        0.0375702,
        0.0377582,
        0.038057,
        0.0374768,
        0.0376007,
        0.0372413,
        0.0373051,
        0.0374782,
        0.0373966,
        0.0375544,
        0.0375974,
        0.0375805,
        0.0375608,
        0.0373225,
        0.0378493,
        0.0376473,
        0.0381033,
        0.0383844,
        0.0383846,
        0.0381812,
        0.0380757,
        0.0386961,
        0.0390809,
        0.0384086,
        0.0384065,
        0.0382069,
        0.0381933,
        0.038509,
        0.0386178,
        0.0424799,
        0.0414877,
        0.0387197,
        0.0386731,
        0.0386049,
        0.0387624,
        0.0384372,
        0.0381682,
        0.0391824,
        0.0396184,
        0.0394153,
        0.0394662,
        0.0389102,
        0.0389494,
        0.0385261,
        0.0383292,
        0.0386382,
        0.0388709,
        0.038526,
        0.038172,
        0.0381087,
        0.0419419,
        0.0415988,
        0.038826,
        0.0388762,
        0.0390929,
        0.0399455,
        0.0396428,
        0.0394188,
        0.0392496,
        0.0402214,
        0.0409176,
        0.0415103,
        0.0434145,
        0.0433471,
        0.0420843,
        0.0456151,
        0.0518373,
        0.0477207,
        0.0403949,
        0.0397576,
        0.0391059,
        0.0389138,
        0.0385233,
        0.0381078,
        0.0381397,
        0.0384966,
        0.0386105,
        0.0386583,
        0.0384968,
        0.0384762,
        0.0382872,
        0.0382986,
        0.038498,
        0.0391431,
        0.039379,
        0.0388986,
        0.0391774,
        0.0392915,
        0.0393537,
        0.0399351,
        0.0401898,
        0.0404975,
        0.0410306,
        0.0412662,
        0.0424015,
        0.0435952,
        0.0443315,
        0.0454428,
        0.0473415,
        0.0478755,
        0.0455554,
        0.0450024,
        0.044804,
        0.0445907,
        0.0444329,
        0.0442737,
        0.0449061,
        0.0452518,
        0.0464517,
        0.0482478,
        0.0499296,
        0.0524166,
        0.0584007,
        0.0673357,
        0.0628065,
        0.0566574,
        0.055065,
        0.0534894,
        0.0513303,
        0.0490111,
        0.0470968,
        0.045303,
        0.044022,
        0.0427571,
        0.0418221,
        0.040533,
        0.0398191,
        0.0391675,
        0.0390881,
        0.0386535,
        0.038471,
        0.0388193,
        0.038681,
        0.03863,
        0.0417813,
        0.0417783,
        0.0385871,
        0.0382139,
        0.0378945,
        0.0383868,
        0.0392651,
        0.038646,
        0.0387139,
        0.0388141,
        0.0388823,
        0.0394032,
        0.0393311,
        0.0392434,
        0.0394007,
        0.0393455,
        0.040153,
        0.040491,
        0.040414,
        0.0404534,
        0.0407148,
        0.0411113,
        0.0411139,
        0.0449295,
        0.0452354,
        0.0411623,
        0.0409335,
        0.0411804,
        0.0419006,
        0.0416103,
        0.0413864,
        0.0414207,
        0.0416059,
        0.0415923,
        0.0416386,
        0.0417546,
        0.042238,
        0.0424557,
        0.0432597,
        0.0441789,
        0.0456007,
        0.0479761,
        0.0489131,
        0.0489913,
        0.0498557,
        0.0499095,
        0.0490261,
        0.0476751,
        0.0464738,
        0.0448676,
        0.0437357,
        0.043675,
        0.043581,
        0.045124,
        0.043779,
        0.0428026,
        0.0423787,
        0.0444066,
        0.0430246,
        0.0413261,
        0.0412687,
        0.0413892,
        0.0414955,
        0.0415284,
        0.0446976,
        0.0456477,
        0.042442,
        0.042116,
        0.0460642,
        0.0490405,
        0.0430802,
        0.0427096,
        0.0423805,
        0.0430831,
        0.0431119,
        0.0429562,
        0.0437635,
        0.0445113,
        0.0440251,
        0.0441474,
        0.044896,
        0.045086,
        0.0449008,
        0.0454696,
        0.0456877,
        0.0456973,
        0.0461283,
        0.0464929,
        0.0470326,
        0.048001,
        0.0473246,
        0.0474853,
        0.0481282,
        0.0485427,
        0.0488514,
        0.0494277,
        0.0495913,
        0.0489056,
        0.0494526,
        0.0500698,
        0.0519879,
        0.052265,
        0.0509084,
        0.0514818,
        0.0526104,
        0.0521279,
        0.0520102,
        0.0525674,
        0.0528092,
        0.053349,
        0.0537107,
        0.0545732,
        0.0553911,
        0.0561878,
        0.0562544,
        0.0561797,
        0.0566542,
        0.0571211,
        0.0574103,
        0.0573664,
        0.0597716,
        0.0612269,
        0.0616033,
        0.0616879,
        0.06306,
        0.0648504,
        0.064709,
        0.0648866,
        0.0668695,
        0.0682038,
        0.0703107,
        0.0715227,
        0.0725394,
        0.0746072,
        0.0787862,
        0.0802071,
        0.0829476,
        0.0915856,
        0.0959711,
        0.0935549,
        0.0965336,
        0.103147,
        0.10734,
        0.110169,
        0.116803,
        0.120009,
        0.127925,
        0.134376,
        0.147053,
        0.160899,
        0.177038,
        0.192854,
        0.208058,
        0.325924,
        0.330276,
        0.240059,
        0.218042,
        0.192437,
        0.177356,
        0.166245,
        0.152222,
        0.144394,
        0.13623,
        0.131286,
        0.124952,
        0.116988,
        0.1134,
        0.10919,
        0.104571,
        0.100229,
        0.0983643,
        0.0939729,
        0.0887,
        0.0878464,
        0.0863506,
        0.0863785,
        0.0847958,
        0.0814069,
        0.0797514,
        0.0787499,
        0.0768567,
        0.0744654,
        0.0738285,
        0.0733066,
        0.0735002,
        0.072729,
        0.0714429,
        0.069271,
        0.0681239,
        0.0683124,
        0.0676082,
        0.0668446,
        0.0672348,
        0.0664841,
        0.0656498,
        0.0657875,
        0.0656268,
        0.0653238,
        0.0666951,
        0.0667751,
        0.0686397,
        0.0686987,
        0.0672012,
        0.0663219,
        0.064267,
        0.06292,
        0.0610989,
        0.0605292,
        0.0593467,
        0.0584018,
        0.0570153,
        0.0570603,
        0.0566834,
        0.0595417,
        0.0589704,
        0.0556602,
        0.0559147,
        0.0552998,
        0.0557323,
        0.0547907,
        0.0542547,
        0.053698,
        0.0534913,
        0.0535323,
        0.0537612,
        0.053394,
        0.0529297,
        0.053593,
        0.0540315,
        0.0540425,
        0.0538421,
        0.05426,
        0.0533803,
        0.053127,
        0.0538955,
        0.0548788,
        0.0549146,
        0.0538727,
        0.0551247,
        0.0553675,
        0.0553161,
        0.0546543,
        0.0548349,
        0.0555214,
        0.0564785,
        0.0564965,
        0.0564435,
        0.0608206,
        0.0626379,
        0.0580561,
        0.0576597,
        0.0573052,
        0.0576378,
        0.058637,
        0.0590814,
        0.0583507,
        0.0589091,
        0.0595274,
        0.0603527,
        0.0605154,
        0.0603864,
        0.0601241,
        0.0602876,
        0.0609173,
        0.0625279,
        0.0638504,
        0.0621608,
        0.0626761,
        0.0640684,
        0.0633806,
        0.0643466,
        0.064446,
        0.0657008,
        0.0665456,
        0.0665527,
        0.0698938,
        0.0729763,
        0.070822,
        0.0713809,
        0.0731156,
        0.0734961,
        0.0734896,
        0.0756784,
        0.0778233,
        0.0810421,
        0.0836173,
        0.0859669,
        0.090494,
        0.0959854,
        0.101412,
        0.105497,
        0.110758,
        0.115383,
        0.120104,
        0.122338,
        0.123106,
        0.119903,
        0.118775,
        0.117479,
        0.117496,
        0.119778,
        0.123005,
        0.124347,
        0.125497,
        0.131596,
        0.138486,
        0.143106,
        0.148331,
        0.155927,
        0.165724,
        0.180025,
        0.183635,
        0.192301,
        0.213623,
        0.231675,
        0.241979,
        0.307915,
        0.265017,
        0.246655,
        0.221811,
        0.202642,
        0.181645,
        0.167042,
        0.157815,
        0.156245,
        0.145208,
        0.14037,
        0.132523,
        0.123128,
        0.122372,
        0.117986,
        0.113894,
        0.112249,
        0.109854,
        0.107257,
        0.104729,
        0.101231,
        0.0988079,
        0.0954941,
        0.0926305,
        0.0911695,
        0.0901649,
        0.0879693,
        0.0888505,
        0.0869708,
        0.0858785,
        0.0852827,
        0.0824508,
        0.0813728,
        0.0808535,
        0.0809866,
        0.0816597,
        0.0877727,
        0.0865971,
        0.0785158,
        0.0871903,
        0.0849364,
        0.0714617,
        0.0718323,
        0.0704945,
        0.069602,
        0.069294,
        0.0672283,
        0.0670538,
        0.0647012,
        0.0637916,
        0.0627631,
        0.0629797,
        0.063525,
        0.0630074,
        0.0625857,
        0.0606916,
        0.0594286,
        0.0588396,
        0.0585534,
        0.0582142,
        0.0578199,
        0.0577614,
        0.0589856,
        0.0589166,
        0.0583163,
        0.0583007,
        0.0586142,
        0.0580968,
        0.0578893,
        0.0578795,
        0.0571415,
        0.0560358,
        0.0556573,
        0.0551278,
        0.0551378,
        0.0563053,
        0.0557,
        0.0545851,
        0.0547919,
        0.0542525,
        0.0537603,
        0.0542336,
        0.0533942,
        0.0531385,
        0.0542757,
        0.0552507,
        0.0539586,
        0.0531897,
        0.0526111,
        0.0525585,
        0.053333,
        0.0528143,
        0.0523119,
        0.0525355,
        0.0540283,
        0.0532178,
        0.0524986,
        0.0523707,
        0.0516131,
        0.0514517,
        0.0511912,
        0.0512233,
        0.0516625,
        0.0508872,
        0.051,
        0.0512386,
        0.0544025,
        0.0607672,
        0.0600969,
        0.0544496,
        0.0544494,
        0.0504725,
        0.0507643,
        0.0500786,
        0.049475,
        0.0492729,
        0.0491091,
        0.0490058,
        0.0484863,
        0.0482702,
        0.0478356,
        0.0487916,
        0.0495968,
        0.0486841,
        0.0511269,
        0.0509936,
        0.0478433,
        0.0474576,
        0.0470463,
        0.0470069,
        0.0471987,
        0.0470655,
        0.047662,
        0.0470669,
        0.0468738,
        0.0474036,
        0.0478831,
        0.0469242,
        0.0473558,
        0.0480864,
        0.0496869,
        0.0491416,
        0.0470111,
        0.0483184,
        0.0480692,
        0.0487391,
        0.0480993,
        0.048319,
        0.047996,
        0.0484441,
        0.0488583,
        0.0490417,
        0.0488248,
        0.0488498,
        0.0485074,
        0.0485966,
        0.049133,
        0.0490775,
        0.0498374,
        0.0493435,
        0.0493567,
        0.0498425,
        0.049682,
        0.0499701,
        0.0500761,
        0.0501937,
        0.0499191,
        0.0490677,
        0.0491796,
        0.0494186,
        0.0527069,
        0.0532964,
        0.0495411,
        0.0488335,
        0.0490488,
        0.0485321,
        0.0485698,
        0.0490484,
        0.0491386,
        0.0494995,
        0.049069,
        0.0483451,
        0.048856,
        0.0494211,
        0.0484345,
        0.0485444,
        0.0511235,
        0.0506486,
        0.0480467,
        0.048132,
        0.0478437,
        0.0476982,
        0.0476064,
        0.0479196,
        0.0473384,
        0.0478348,
        0.0473638,
        0.0471677,
        0.0479307,
        0.0487054,
        0.0482515,
        0.0478828,
        0.0480794,
        0.0483909,
        0.0485376,
        0.0488397,
        0.0496625,
        0.0494049,
        0.0499075,
        0.0497014,
        0.0503238,
        0.050308,
        0.0505114,
        0.0508961,
        0.0516571,
        0.0519676,
        0.0530055,
        0.0528374,
        0.0529864,
        0.0561937,
        0.0560604,
        0.0535341,
        0.0545414,
        0.0557769,
        0.0570901,
        0.0581439,
        0.0626561,
        0.0643771,
        0.0633241,
        0.0663671,
        0.0695785,
        0.0741956,
        0.080228,
        0.0885679,
        0.0981929,
        0.113863,
        0.135487,
        0.161681,
        0.18948,
        0.20667,
        0.238335,
        0.189848,
        0.184197,
        0.161821,
        0.146127,
        0.1196,
        0.105498,
        0.0944559,
        0.0866694,
        0.0793556,
        0.0726856,
        0.0676204,
        0.0649367,
        0.0616986,
        0.0644334,
        0.0629375,
        0.0565896,
        0.0557547,
        0.0549267,
        0.0542802,
        0.0534815,
        0.0525249,
        0.0531338,
        0.0523335,
        0.0505397,
        0.050061,
        0.0510247,
        0.0501624,
        0.0492339,
        0.0494318,
        0.0486764,
        0.0487262,
        0.0489595,
        0.0481912,
        0.0486119,
        0.0484324,
        0.0486164,
        0.0485041,
        0.0485201,
        0.0483589,
        0.0484224,
        0.0486439,
        0.0483147,
        0.0488988,
        0.0488981,
        0.0487627,
        0.0490014,
        0.0493106,
        0.0488573,
        0.0485487,
        0.0490483,
        0.0485205,
        0.0491252,
        0.0498453,
        0.049832,
        0.0503108,
        0.0495194,
        0.0492772,
        0.0493087,
        0.0491515,
        0.0491583,
        0.052418,
        0.0532402,
        0.0503122,
        0.0497538,
        0.050067,
        0.0490989,
        0.049395,
        0.0498817,
        0.0539337,
        0.0529495,
        0.0498842,
        0.0495973,
        0.0495823,
        0.0495739,
        0.0493134,
        0.0492789,
        0.0490541,
        0.0497418,
        0.0576421,
        0.0574113,
        0.0487866,
        0.0492401,
        0.0490675,
        0.0489024,
        0.0487198,
        0.0501757,
        0.0505601,
        0.0500863,
        0.051097,
        0.0506634,
        0.05058,
        0.0507824,
        0.0522869,
        0.0531315,
        0.0511897,
        0.05074,
        0.0498773,
        0.0504289,
        0.050258,
        0.0495087,
        0.0496539,
        0.0510447,
        0.0501765,
        0.0496931,
        0.0494168,
        0.049414,
        0.0495347,
        0.0496215,
        0.0492452,
        0.0490878,
        0.049894,
        0.0501554,
        0.0536286,
        0.051955,
        0.0510787,
        0.0529262,
        0.0518631,
        0.0505025,
        0.0502373,
        0.0503916,
        0.0507389,
        0.0514281,
        0.0524916,
        0.063698,
        0.0607203,
        0.051116,
        0.0520571,
        0.0511584,
        0.0523336,
        0.0542228,
        0.0540278,
        0.0513161,
        0.0517149,
        0.0513699,
        0.0521304,
        0.0516781,
        0.0594006,
        0.0634143,
        0.0540778,
        0.0518417,
        0.0526533,
        0.0530432,
        0.0535788,
        0.0528572,
        0.0525598,
        0.0522054,
        0.0517206,
        0.0514515,
        0.0507352,
        0.0507285,
        0.0511907,
        0.0513303,
        0.0507462,
        0.0513376,
        0.0511971,
        0.050773,
        0.050855,
        0.051377,
        0.0513367,
        0.0512983,
        0.0513265,
        0.0514101,
        0.0509413,
        0.0511835,
        0.0514554,
        0.050722,
        0.0511076,
        0.0520368,
        0.0511207,
        0.0515642,
        0.0509466,
        0.0517145,
        0.051281,
        0.0523262,
        0.0524609,
        0.0520341,
        0.052362,
        0.0529264,
        0.0527798,
        0.0530167,
        0.0536816,
        0.054162,
        0.0557135,
        0.0622208,
        0.0588036,
        0.0572763,
        0.0578143,
        0.0581192,
        0.0581473,
        0.0576886,
        0.0568247,
        0.056837,
        0.0570932,
        0.0575946,
        0.0570673,
        0.0557638,
        0.0552914,
        0.0560907,
        0.0571062,
        0.0576952,
        0.0564711,
        0.0574545,
        0.0583411,
        0.0588639,
        0.0601403,
        0.0604311,
        0.0682819,
        0.0642923,
        0.0596666,
        0.0579406,
        0.0579525,
        0.0574137,
        0.0564692,
        0.054937,
        0.0549863,
        0.0555619,
        0.0545387,
        0.0551172,
        0.0540442,
        0.0549201,
        0.0552254,
        0.0552193,
        0.0544821,
        0.0542549,
        0.0539493,
        0.0538117,
        0.0543753,
        0.0538982,
        0.0529341,
        0.0534811,
        0.0533884,
        0.0528172,
        0.0526429,
        0.0603282,
        0.0597586,
        0.0552578,
        0.0538441,
        0.0531105,
        0.0534724,
        0.0541911,
        0.0539352,
        0.0541879,
        0.0546766,
        0.0545047,
        0.0549059,
        0.0553349,
        0.0551195,
        0.0541991,
        0.0554871,
        0.056302,
        0.0566469,
        0.0571757,
        0.0575506,
        0.0568384,
        null,
        0.0523597,
        0.0540733,
        0.0565278,
        0.0589541,
        0.060803,
        0.0601927,
        0.0597433,
        0.0589845,
        0.0576336,
        0.0573222,
        0.057964,
        0.0589071,
        0.0605297,
        0.063615,
        0.0687821,
        0.0734161,
        0.0772804,
        0.0795134,
        0.0797447,
        0.0762119,
        0.0709962,
        0.0658456,
        0.0615953,
        0.0581649,
        0.0563894,
        0.0557602,
        0.0546939,
        0.0537196,
        0.0530779,
        0.0528931,
        0.0523882,
        0.0517367,
        0.0514798,
        0.0513644,
        0.0509543,
        0.0505152,
        0.0504806,
        0.0505344,
        0.0503875,
        0.0503655,
        0.0502181,
        0.0492742,
        0.0493204,
        0.0506366,
        0.0502091,
        0.0497008,
        0.0494768,
        0.0495558,
        0.049883,
        0.0499313,
        0.04999,
        0.0497513,
        0.0496418,
        0.0499009,
        0.0500201,
        0.0503269,
        0.0503363,
        0.0504452,
        0.0506545,
        0.0509235,
        0.0508002,
        0.0507591,
        0.0512994,
        0.0513058,
        0.0516024,
        0.0519275,
        0.0520474,
        0.0565264,
        0.0552778,
        0.0530483,
        0.0530136,
        0.0531805,
        0.0534014,
        0.0533643,
        0.0534999,
        0.0542255,
        0.0537657,
        0.0536312,
        0.0539784,
        0.0550072,
        0.054852,
        0.0553795,
        0.055286,
        0.0553319,
        0.0584282,
        0.0577247,
        0.0552456,
        0.0557309,
        0.0559166,
        0.0560752,
        0.056059,
        0.0566701,
        0.0565887,
        0.056955,
        0.0570609,
        0.0566596,
        0.0570379,
        0.0575139,
        0.0585335,
        0.0585054,
        0.057953,
        0.0582369,
        0.0585005,
        0.0586044,
        0.0588943,
        0.0594641,
        0.0601776,
        0.0617074,
        0.0625165,
        0.0627928,
        0.0636911,
        0.0653921,
        0.0669545,
        0.0692826,
        0.0721412,
        0.0762407,
        0.0794781,
        0.0843279,
        0.0892323,
        0.0973731,
        0.107686,
        0.118736,
        0.126801,
        0.135742,
        0.136235,
        0.129918,
        0.123318,
        0.116529,
        0.10583,
        0.0988952,
        0.0911657,
        0.0857398,
        0.0828107,
        0.0794001,
        0.077533,
        0.076023,
        0.0750833,
        0.0736538,
        0.0734925,
        0.0725838,
        0.072518,
        0.0724632,
        0.0717245,
        0.0714592,
        0.0727257,
        0.0719146,
        0.0719905,
        0.0711536,
        0.0730354,
        0.0748011,
        0.0744899,
        0.0747555,
        0.0750232,
        0.0876297,
        0.0875101,
        0.0740984,
        0.0743639,
        0.0742334,
        0.0756726,
        0.0758518,
        0.0757911,
        0.076766,
        0.077868,
        0.0788922,
        0.0800527,
        0.081812,
        0.0826748,
        0.0832958,
        0.0855919,
        0.084969,
        0.0878638,
        0.0887783,
        0.0901051,
        0.0893651,
        0.0906135,
        0.0934231,
        0.0950396,
        0.0948587,
        0.0965156,
        0.0983609,
        0.0986942,
        0.103012,
        0.106669,
        0.109641,
        0.113486,
        0.116133,
        0.118049,
        0.121551,
        0.125815,
        0.130918,
        0.137514,
        0.140105,
        0.143684,
        0.149503,
        0.157628,
        0.163889,
        0.176281,
        0.182605,
        0.188374,
        0.197178,
        0.206714,
        0.217827,
        0.22872,
        0.229024,
        null,
        0.209935,
        0.207515,
        0.194439,
        0.183047,
        0.176154,
        0.168563,
        0.162443,
        0.157253,
        0.146261,
        0.141075,
        0.137468,
        0.132342,
        0.124732,
        0.120716,
        0.115402,
        0.114792,
        0.11111,
        0.107632,
        0.105668,
        0.105113,
        0.100956,
        0.100165,
        0.0981795,
        0.0974799,
        0.0922734,
        0.0912792,
        0.0912561,
        0.0985082,
        0.0940324,
        0.0862992,
        0.085399,
        0.0877817,
        0.0860745,
        0.0833069,
        0.0826372,
        0.0813991,
        0.0807094,
        0.0798579,
        0.0777483,
        0.078283,
        0.0785752,
        0.0759782,
        0.075001,
        0.0740611,
        0.0740766,
        0.0731204,
        0.0723769,
        0.0712872,
        0.0699152,
        0.0685095,
        0.0680638,
        0.0677691,
        0.0686602,
        0.0676813,
        0.0660636,
        0.0657962,
        0.0660536,
        0.0693517,
        0.0671741,
        0.0626435,
        0.0662152,
        0.0647845,
        0.0627119,
        0.0614398,
        0.0605021,
        0.0595501,
        0.0594061,
        0.0579139,
        0.0583031,
        0.0592733,
        0.0582451,
        0.0574997,
        0.0579411,
        0.0574725,
        0.0566109,
        0.056493,
        0.0562644,
        0.0579127,
        0.0587732,
        0.0547247,
        0.0553071,
        0.0554346,
        0.0548569,
        0.0544328,
        0.0542578,
        0.0542189,
        0.0543739,
        0.0537745,
        0.0539633,
        0.0538698,
        0.0532229,
        0.0545743,
        0.0535337,
        0.0534214,
        0.053188,
        0.0538102,
        0.0542081,
        0.0542361,
        0.0546018,
        0.0539269,
        0.0538119,
        0.0535507,
        0.0542723,
        0.0540462,
        0.0531275,
        0.0536385,
        0.0532644,
        0.0532025,
        0.0531721,
        0.0524557,
        0.0520029,
        0.0525137,
        0.0522009,
        0.0521957,
        0.0515021,
        0.051082,
        0.0508343,
        0.0509139,
        0.0507894,
        0.0505636,
        0.0507869,
        0.050437,
        0.0509488,
        0.0508354,
        0.0498876,
        0.0495862,
        0.0501384,
        0.053609,
        0.0515626,
        0.0496912,
        0.0491964,
        0.0487773,
        0.0492186,
        0.0491432,
        0.0485205,
        0.0476378,
        0.0479501,
        0.0481062,
        0.0475416,
        0.0485614,
        0.0485229,
        0.0482153,
        0.0473392,
        0.0478528,
        0.0480131,
        0.0477821,
        0.0480722,
        0.0481089,
        0.0482009,
        0.0481552,
        0.0480495,
        0.0478512,
        0.0479637,
        0.0480519,
        0.0491744,
        0.0492198,
        0.0481549,
        0.0483713,
        0.0480392,
        0.0484191,
        0.048564,
        0.0485717,
        0.0484315,
        0.048692,
        0.0487162,
        0.0491913,
        0.0489173,
        0.0488749,
        0.0484229,
        0.0484127,
        0.0482957,
        0.0478431,
        0.0478886,
        0.0487182,
        0.0485954,
        0.0483743,
        0.0485008,
        0.0484389,
        0.0478127,
        0.0476063,
        0.0480784,
        0.0477091,
        0.0472086,
        0.0474002,
        0.0476455,
        0.0476779,
        0.0472236,
        0.0469069,
        0.0466137,
        0.0466615,
        0.0466203,
        0.0464388,
        0.0461432,
        0.0458396,
        0.0457614,
        0.0459963,
        0.0461311,
        0.0462643,
        0.0465432,
        0.0461279,
        0.0471843,
        0.0482264,
        0.0488985,
        0.0490391,
        0.0485439,
        0.0489205,
        0.0489717,
        0.0521127,
        0.0519842,
        0.0480559,
        0.0474795,
        0.0470544,
        0.0462459,
        0.0465557,
        0.0467453,
        0.0468791,
        0.0468995,
        0.0495299,
        0.0472997,
        0.0469211,
        0.0469905,
        0.0471805,
        0.0476668,
        0.047642,
        0.0468967,
        0.0467883,
        0.047045,
        0.0473386,
        0.0484066,
        0.0496662,
        0.0486887,
        0.0489668,
        0.0492151,
        0.049442,
        0.0541395,
        0.0550911,
        0.0505851,
        0.0519291,
        0.0520692,
        0.0513795,
        0.0517285,
        0.0509344,
        0.0505104,
        0.0494488,
        0.0486784,
        0.0484554,
        0.0481803,
        0.0474201,
        0.0475207,
        0.0468623,
        0.0473727,
        0.0476218,
        0.0460613,
        0.0463783,
        0.0464029,
        0.0459319,
        0.0459902,
        0.045751,
        0.0454964,
        0.045657,
        0.0454248,
        0.0452129,
        0.0450556,
        0.0453163,
        0.0456347,
        0.0453891,
        0.045889,
        0.0453747,
        0.0451905,
        0.0451467,
        0.0457479,
        0.0462051,
        0.0462288,
        0.0464132,
        0.0464571,
        0.0464496,
        0.0464695,
        0.0464594,
        0.0471003,
        0.0474483,
        0.04756,
        0.047635,
        0.0482149,
        0.0480477,
        0.0482804,
        0.0493647,
        0.049138,
        0.0494283,
        0.0494724,
        0.0505225,
        0.0506636,
        0.0505418,
        0.0504793,
        0.0503526,
        0.0501392,
        0.0498743,
        0.0498583,
        0.0506202,
        0.0511543,
        0.0508733,
        0.0517071,
        0.0520044,
        0.0525836,
        0.0525173,
        0.0591023,
        0.0582569,
        0.0580271,
        0.0583972,
        0.0516623,
        0.0514583,
        0.0512682,
        0.0505742,
        0.0497969,
        0.0494834,
        0.0496389,
        0.0485893,
        0.0490192,
        0.0487775,
        0.0488477,
        0.0490236,
        0.0488125,
        0.0482696,
        0.0490767,
        0.0483015,
        0.0511209,
        0.0536263,
        0.0499787,
        0.04995,
        0.0492783,
        0.0492723,
        0.0492959,
        0.0490244,
        0.0491793,
        0.0510699,
        0.0511954,
        0.0498983,
        0.0503513,
        0.0506012,
        0.050822,
        0.0507991,
        0.0511383,
        0.0515252,
        0.0519281,
        0.0525159,
        0.0530984,
        0.053114,
        0.0536814,
        0.0543545,
        0.0549011,
        0.0554328,
        0.062971,
        0.0633838,
        0.0563414,
        0.0614411,
        0.0606618,
        0.0561893,
        0.0573064,
        0.0558844,
        0.0550358,
        0.0550806,
        0.0548593,
        0.0548911,
        0.0543884,
        0.0541454,
        0.0542014,
        0.0533049,
        0.0537108,
        0.0534698,
        0.0555932,
        0.054028,
        0.054013,
        0.053266,
        0.0535871,
        0.0534484,
        0.0527817,
        0.0533524,
        0.0534844,
        0.0534774,
        0.0541211,
        0.0536888,
        0.0540422,
        0.053632,
        0.0544655,
        0.0536809,
        0.0540255,
        0.0543987,
        0.054327,
        0.0546742,
        0.0560107,
        0.0569072,
        0.058944,
        0.0561655,
        0.055085,
        0.0555398,
        0.0550657,
        0.0545918,
        0.0577925,
        0.0583645,
        0.0541512,
        0.0542159,
        0.0544332,
        0.0537733,
        0.0540531,
        0.0540126,
        0.0539234,
        0.0546323,
        0.0566916,
        0.0567304,
        0.0550617,
        0.0551293,
        0.0556055,
        0.0554464,
        0.0561293,
        0.0570331,
        0.0575432,
        0.0571343,
        0.0570276,
        0.0573578,
        0.0578565,
        0.0574098,
        0.0574766,
        0.0580752,
        0.0593101,
        0.0586994,
        0.0588449,
        0.0585214,
        0.0579372,
        0.0587884,
        0.0588344,
        0.0593671,
        0.0594817,
        0.0595756,
        0.0596774,
        0.0601044,
        0.0618083,
        0.0620394,
        0.0614843,
        0.0619084,
        0.0612409,
        0.0602501,
        0.0598195,
        0.0599465,
        0.0601344,
        0.0597942,
        0.0593714,
        0.0589082,
        0.0587965,
        0.0601961,
        0.0599961,
        0.0600472,
        0.0610478,
        0.0611502,
        0.0604343,
        0.0608267,
        0.0609862,
        0.0609028,
        0.0621429,
        0.0614193,
        0.062383,
        0.0639675,
        0.0630119,
        0.0624921,
        0.0625806,
        0.0631535,
        0.0642607,
        0.0642836,
        0.0645408,
        0.064206,
        0.0639653,
        0.0650335,
        0.0649983,
        0.065354,
        0.0656043,
        0.066398,
        0.0672808,
        0.0685464,
        0.0688426,
        0.0686457,
        0.0678339,
        0.0683436,
        0.0686877,
        0.0677152,
        0.0689692,
        0.0701881,
        0.0697856,
        0.0694496,
        0.0699146,
        0.0710884,
        0.0705287,
        0.0706261,
        0.0713926,
        0.0717993,
        0.0717741,
        0.0732393,
        0.0742779,
        0.0731405,
        0.0734885,
        0.0797245,
        0.0777127,
        0.0745424,
        0.0743705,
        0.07366,
        0.0755761,
        0.0759334,
        0.0747398,
        0.0748806,
        0.0741451,
        0.0763167,
        0.0766541,
        0.07489,
        0.0755207,
        0.0767527,
        0.0757772,
        0.0766845,
        0.0771871,
        0.0784585,
        0.0775821,
        0.0797125,
        0.0790615,
        0.0794295,
        0.0787017,
        0.0799355,
        0.0808446,
        0.0801117,
        0.0813078,
        0.0834497,
        0.0852891,
        0.0834693,
        0.0852398,
        0.0866144,
        0.0876363,
        0.0897218,
        0.0910706,
        0.0880432,
        0.0909054,
        0.0925206,
        0.0932125,
        0.0929144,
        0.0925248,
        0.0950064,
        0.0971729,
        0.0985451,
        0.109807,
        0.110395,
        0.097932,
        0.0998037,
        0.103238,
        0.106409,
        0.105556,
        0.105824,
        0.106971,
        0.108478,
        0.110382,
        0.111559,
        0.111219,
        0.110527,
        0.112743,
        0.11439,
        0.11714,
        0.117369,
        0.120728,
        0.12554,
        0.121685,
        0.121969,
        0.126052,
        0.127992,
        0.128517,
        0.130994,
        0.14282,
        0.139748,
        0.13585,
        0.143595,
        0.151738,
        0.145251,
        0.146768,
        0.148057,
        0.148743,
        0.151569,
        0.156453,
        0.183958,
        0.195218,
        0.170257,
        0.171994,
        0.182005,
        0.192532,
        0.191348,
        0.194835,
        0.202552,
        0.207464,
        0.219201,
        0.231563,
        0.250364,
        null,
        0.310286,
        0.280141,
        0.284298,
        0.296148,
        0.277497,
        0.246524,
        0.247607,
        0.246289,
        0.244082,
        0.243243,
        0.23978,
        0.225298,
        0.227537,
        0.218862,
        0.215505,
        0.219444,
        0.213086,
        0.213205,
        0.209773,
        0.207511,
        0.195255,
        0.195934,
        0.190223,
        0.187917,
        0.19522,
        0.196799,
        0.193124,
        0.18557,
        0.183913,
        0.182246,
        0.179127,
        0.179624,
        0.174977,
        0.170447,
        0.171925,
        0.172667,
        0.166588,
        0.163942,
        0.163592,
        0.162217,
        0.164092,
        0.160345,
        0.159676,
        0.159089,
        0.156954,
        0.156976,
        0.15,
        0.14545,
        0.149271,
        0.151221,
        0.144386,
        0.146214,
        0.142954,
        0.141228,
        0.139979,
        0.153924,
        0.153256,
        0.14832,
        0.140936,
        0.131503,
        0.13213,
        0.129996,
        0.129592,
        0.130583,
        0.130007,
        0.127379,
        0.129033,
        0.129309,
        0.131089,
        0.12391,
        0.123923,
        0.122262,
        0.122877,
        0.123164,
        0.119964,
        0.118676,
        0.120282,
        0.120041,
        0.117752,
        0.117442,
        0.119582,
        0.121202,
        0.121999,
        0.119446,
        0.116334,
        0.11556,
        0.117239,
        0.118176,
        0.117194,
        0.118021,
        0.11831,
        0.119412,
        0.119015,
        0.118202,
        0.118525,
        0.117871,
        0.117095,
        0.115985,
        0.115775,
        0.115968,
        0.115024,
        0.114729,
        0.116273,
        0.116444,
        0.114836,
        0.117726,
        0.117698,
        0.111972,
        0.110504,
        0.109761,
        0.11137,
        0.11286,
        0.111946,
        0.111286,
        0.11123,
        0.113188,
        0.112662,
        0.110963,
        0.114158,
        0.112002,
        0.110131,
        0.111987,
        0.112207,
        0.111369,
        0.113342,
        0.114331,
        0.112421,
        0.113498,
        0.114479,
        0.12993,
        0.134166,
        0.120229,
        0.121014,
        0.122896,
        0.120274,
        0.119736,
        0.117177,
        0.112753,
        0.113403,
        0.11478,
        0.112313,
        0.110898,
        0.112089,
        0.113673,
        0.111999,
        0.109448,
        0.10677,
        0.10505,
        0.106478,
        0.123347,
        0.125473,
        0.123458,
        0.121181,
        0.109273,
        0.111555,
        0.109859,
        0.107671,
        0.108811,
        0.110332,
        0.111251,
        0.111105,
        0.110348,
        0.112176,
        0.109931,
        0.110485,
        0.113626,
        0.116174,
        0.114258,
        0.111685,
        0.111705,
        0.113929,
        0.113699,
        0.11529,
        0.116842,
        0.11608,
        0.111205,
        0.114119,
        0.114536,
        0.115896,
        0.115473,
        0.117769,
        0.117641,
        0.115592,
        0.112772,
        0.118015,
        0.123433,
        0.125859,
        0.117926,
        0.120286,
        0.122778,
        0.120244,
        0.121816,
        0.126144,
        0.127014,
        0.132652,
        0.130382,
        0.124006,
        0.124352,
        0.125199,
        0.125188,
        0.127582,
        0.126042,
        0.126255,
        0.131182,
        0.132649,
        0.129766,
        0.133676,
        0.136651,
        0.134631,
        0.132944,
        0.135405,
        0.141689,
        0.143111,
        0.139348,
        0.140926,
        0.139053,
        0.141253,
        0.148254,
        0.150675,
        0.149283,
        0.149123,
        0.152542,
        0.153068,
        0.156712,
        0.161156,
        0.167837,
        0.169907,
        0.168322,
        0.173318,
        0.175733,
        0.185841,
        0.184172,
        0.184309,
        0.185659,
        0.1889,
        0.195329,
        0.199551,
        0.201198,
        0.203871,
        0.206457,
        0.212008,
        0.226345,
        0.22543,
        0.224505,
        0.234405,
        0.237319,
        0.23935,
        0.259109,
        0.273762,
        0.263768,
        0.268684,
        null,
        0.283364,
        0.270039,
        0.230905,
        0.222974,
        0.227679,
        0.224121,
        0.221973,
        0.252813,
        0.251117,
        0.208512,
        0.199479,
        0.199589,
        0.19263,
        0.187896,
        0.190403,
        0.20602,
        0.199696,
        0.185869,
        0.181907,
        0.184874,
        0.18387,
        0.179945,
        0.182238,
        0.174969,
        0.176636,
        0.173166,
        0.172273,
        0.174268,
        0.171404,
        0.164094,
        0.178734,
        0.179368,
        0.169937,
        0.19504,
        0.188214,
        0.176891,
        0.173045,
        0.175825,
        0.179333,
        0.179951,
        0.210504,
        0.211628,
        0.200999,
        0.209748,
        0.221751,
        0.257555,
        0.314737,
        0.3057,
        0.319094,
        0.358598,
        0.282129,
        0.254798,
        0.229225,
        0.204438,
        0.185865,
        0.184498,
        0.174879,
        0.160082,
        0.154699,
        0.15007,
        0.143622,
        0.139748,
        0.134809,
        0.138844,
        0.139331,
        0.134492,
        0.13328,
        0.133371,
        0.133359,
        0.132108,
        0.12644,
        0.124961,
        0.122753,
        0.120215,
        0.11549,
        0.112911,
        0.110799,
        0.109352,
        0.106941,
        0.105773,
        0.103807,
        0.102868,
        0.100867,
        0.103036,
        0.102335,
        0.102311,
        0.100445,
        0.102047,
        0.0999899,
        0.0976913,
        0.09882,
        0.0966003,
        0.0956344,
        0.0966059,
        0.0947643,
        0.0947995,
        0.102748,
        0.103163,
        0.0954578,
        0.0944751,
        0.0947349,
        0.097676,
        0.0958282,
        0.096453,
        0.0953397,
        0.099456,
        0.10079,
        0.0942906,
        0.0910796,
        0.100998,
        0.106618,
        0.090182,
        0.0893876,
        0.0903785,
        0.086858,
        0.0846085,
        0.0847439,
        0.0820273,
        0.0810933,
        0.0822632,
        0.0815207,
        0.0815168,
        0.0821846,
        0.0811491,
        0.081108,
        0.0802314,
        0.0800942,
        0.0812409,
        0.0829897,
        0.0827199,
        0.0844857,
        0.0869147,
        0.0883255,
        0.0934953,
        0.0952848,
        0.0898042,
        0.0888857,
        0.0864496,
        0.084402,
        0.0825271,
        0.0804288,
        0.0792438,
        0.0791957,
        0.0786063,
        0.0779813,
        0.0774688,
        0.0773996,
        0.0782973,
        0.0774341,
        0.0768381,
        0.0774281,
        0.0790694,
        0.0801284,
        0.079831,
        0.0809877,
        0.0811724,
        0.0809052,
        0.0803641,
        0.0810546,
        0.0815066,
        0.0809275,
        0.080595,
        0.08111,
        0.0813698,
        0.0810009,
        0.0824185,
        0.079933,
        0.0782844,
        0.0769093,
        0.0773065,
        0.0770234,
        0.0759835,
        0.0791865,
        0.0773612,
        0.0761255,
        0.0763515,
        0.0749582,
        0.0751727,
        0.0748394,
        0.0728803,
        0.0720404,
        0.0722388,
        0.0722349,
        0.0726778,
        0.0720008,
        0.070448,
        0.0707553,
        0.070357,
        0.0707143,
        0.0695111,
        0.0703942,
        0.07092,
        0.0699187,
        0.0690506,
        0.0695673,
        0.0703363,
        0.0704932,
        0.0707056,
        0.0710797,
        0.0704023,
        0.071818,
        0.0722407,
        0.0710707,
        0.0721026,
        0.0732549,
        0.0737239,
        0.0737401,
        0.0745827,
        0.0759599,
        0.0757044,
        0.0771526,
        0.0800539,
        0.0828861,
        0.0856863,
        0.0911859,
        0.0998952,
        0.108751,
        0.124509,
        0.140289,
        0.151526,
        0.15009,
        0.141638,
        0.137359,
        0.123665,
        0.109443,
        0.103494,
        0.0980548,
        0.0889899,
        0.0843628,
        0.0825485,
        0.0787061,
        0.0784547,
        0.0765831,
        0.0741615,
        0.0733473,
        0.0746341,
        0.0743068,
        0.0732609,
        0.0813348,
        0.0822352,
        0.0733125,
        0.0720156,
        0.0723327,
        0.0706349,
        0.0703231,
        0.0707078,
        0.0706901,
        0.0692528,
        0.0689616,
        0.0693076,
        0.0691431,
        0.0693383,
        0.0685215,
        0.0677542,
        0.066629,
        0.0677277,
        0.0673124,
        0.0674254,
        0.0679849,
        0.0672614,
        0.0670235,
        0.0684061,
        0.0670029,
        0.0670343,
        0.0663392,
        0.0659679,
        0.0698656,
        0.0761421,
        0.0757902,
        0.0664718,
        0.0668598,
        0.0656562,
        0.0656316,
        0.0652667,
        0.0663699,
        0.0658945,
        0.0655988,
        0.0662583,
        0.0661139,
        0.0660331,
        0.0662367,
        0.0665568,
        0.0667998,
        0.0658883,
        0.0671334,
        0.0666709,
        0.066181,
        0.0666465,
        0.0669168,
        0.0674319,
        0.0675908,
        0.0671816,
        0.0684189,
        0.0679123,
        0.0674998,
        0.067689,
        0.0676383,
        0.0678786,
        0.0673593,
        0.0679662,
        0.0675053,
        0.0682025,
        0.0686815,
        0.0676168,
        0.0676629,
        0.0675814,
        0.0669216,
        0.0669611,
        0.0681172,
        0.0688609,
        0.0679706,
        0.0681835,
        0.0684996,
        0.0687453,
        0.0683072,
        0.0684682,
        0.0684744,
        0.0673319,
        0.0674982,
        0.0677787,
        0.0677626,
        0.067687,
        0.0669278,
        0.0671359,
        0.0658759,
        0.0664727,
        0.0666624,
        0.0674905,
        0.0667026,
        0.0660366,
        0.065831,
        0.0669961,
        0.0659083,
        0.0652389,
        0.0651582,
        0.0648973,
        0.066328,
        0.0679663,
        0.0735274,
        0.0730081,
        0.0656407,
        0.0670414,
        0.0662735,
        0.0650894,
        0.0654395,
        0.0661803,
        0.0663429,
        0.0668516,
        0.0661806,
        0.0669837,
        0.0668239,
        0.066969,
        0.0664993,
        0.065601,
        0.0669065,
        0.0670379,
        0.0681975,
        0.0662486,
        0.0659969,
        0.0666333,
        0.0665601,
        0.0673603,
        0.0685644,
        0.067897,
        0.0681007,
        0.0688162,
        0.0681144,
        0.0683357,
        0.0685045,
        0.069482,
        0.0710196,
        0.0695678,
        0.07047,
        0.0702367,
        0.0707377,
        0.0709137,
        0.0732914,
        0.072062,
        0.0717759,
        0.0716255,
        0.0718656,
        0.0731098,
        0.0739074,
        0.0746924,
        0.0739046,
        0.0746622,
        0.0732334,
        0.0744039,
        0.0734617,
        0.0734878,
        0.0752605,
        0.0749619,
        0.0763455,
        0.0766158,
        0.0765918,
        0.0777255,
        0.0795471,
        0.0808307,
        0.0806052,
        0.0816203,
        0.0823712,
        0.0858386,
        0.0957797,
        0.101641,
        0.0989573,
        0.102628,
        0.108933,
        0.113106,
        0.119283,
        0.13032,
        0.131409,
        0.130926,
        0.135488,
        0.168805,
        0.177638,
        0.145638,
        0.149508,
        0.147563,
        0.144828,
        0.142858,
        0.140958,
        0.140347,
        null,
        0.0519814,
        0.0517204,
        0.0517781,
        0.0519748,
        0.0524439,
        0.0529147,
        0.0531515,
        0.0540868,
        0.0550844,
        0.0554259,
        0.0582065,
        0.0574002,
        0.0547239,
        0.0543064,
        0.0598293,
        0.0590295,
        0.0524593,
        0.0521554,
        0.0515355,
        0.0513739,
        0.0510616,
        0.0513975,
        0.051186,
        0.0511156,
        0.0585946,
        0.0583862,
        0.0512368,
        0.0512346,
        0.0512969,
        0.0522387,
        0.0532171,
        0.0543103,
        0.0556099,
        0.0565581,
        0.0595327,
        0.0682029,
        0.0736881,
        0.0753755,
        0.0836614,
        0.0930743,
        0.099989,
        0.100166,
        0.0949413,
        0.0874168,
        0.0789455,
        0.0712003,
        0.0650765,
        0.0613542,
        0.0588446,
        0.0565624,
        0.0547755,
        0.0535623,
        0.0525274,
        0.0514795,
        0.0571073,
        0.0583956,
        0.0517936,
        0.0514661,
        0.0513502,
        0.0507675,
        0.0505939,
        0.0503901,
        0.050223,
        0.0502654,
        0.0505372,
        0.0507841,
        0.0514877,
        0.0514517,
        0.051229,
        0.0520141,
        0.05276,
        0.0526545,
        0.0535334,
        0.0541004,
        0.0546135,
        0.0544784,
        0.0543132,
        0.0546578,
        0.0549465,
        0.0547604,
        0.0592998,
        0.0588655,
        0.0539934,
        0.0544833,
        0.0541025,
        0.0542452,
        0.0550517,
        0.0559231,
        0.0555175,
        0.0573079,
        0.0582456,
        0.0594009,
        0.0646996,
        0.0656398,
        0.0652471,
        0.0690765,
        0.0739572,
        0.0808071,
        0.0904429,
        0.103931,
        0.121119,
        0.152109,
        0.204605,
        0.282224,
        0.226519,
        0.169905,
        0.136341,
        0.115054,
        0.100213,
        0.0897973,
        0.0809771,
        0.0736303,
        0.0700621,
        0.0656145,
        0.0635396,
        0.0628359,
        0.059829,
        0.0569605,
        0.0555043,
        0.0543971,
        0.0538943,
        0.0536694,
        0.0532416,
        0.0526706,
        0.0516886,
        0.0512368,
        0.0507064,
        0.0505204,
        0.0498695,
        0.0494895,
        0.0491034,
        0.0487357,
        0.0488421,
        0.0485705,
        0.0480564,
        0.047816,
        0.0474139,
        0.0472123,
        0.0469405,
        0.0463036,
        0.0462011,
        0.0455815,
        0.0451797,
        0.0449981,
        0.0454066,
        0.0454456,
        0.0451633,
        0.0446774,
        0.044743,
        0.0453289,
        0.0448585,
        0.0446452,
        0.0441971,
        0.0443166,
        0.044402,
        0.0493857,
        0.0497832,
        0.0448298,
        0.0445278,
        0.0445714,
        0.044168,
        0.0437664,
        0.0442172,
        0.0448178,
        0.0447821,
        0.0446769,
        0.0441394,
        0.0441916,
        0.0449054,
        0.0450054,
        0.0448099,
        0.045199,
        0.0455817,
        0.0454965,
        0.0457653,
        0.0455865,
        0.04609,
        0.0463964,
        0.0463011,
        0.0464039,
        0.0468072,
        0.0467805,
        0.0462587,
        0.0462752,
        0.0459547,
        0.0458315,
        0.045768,
        0.0460404,
        0.0460617,
        0.0456118,
        0.0453462,
        0.0454236,
        0.0453163,
        0.0485124,
        0.0476878,
        0.0456174,
        0.0452052,
        0.0446162,
        0.0443911,
        0.0445074,
        0.0456277,
        0.0446269,
        0.0434693,
        0.0437815,
        0.0437447,
        0.0435582,
        0.0439466,
        0.043499,
        0.0436765,
        0.0434875,
        0.0435987,
        0.043369,
        0.0432564,
        0.0429437,
        0.0429315,
        0.043294,
        0.0438896,
        0.0446351,
        0.042577,
        0.0426083,
        0.0426003,
        0.0427345,
        0.0427723,
        0.0435102,
        0.0516266,
        0.0507795,
        0.0423983,
        0.0430978,
        0.0429706,
        0.0434226,
        0.043357,
        0.0434958,
        0.0438141,
        0.0434381,
        0.0435094,
        0.0433602,
        0.04359,
        0.0434216,
        0.0433137,
        0.0440275,
        0.0442326,
        0.044176,
        0.0442004,
        0.0442195,
        0.0443943,
        0.0441684,
        0.0445523,
        0.0450433,
        0.0452254,
        0.0444815,
        0.0440318,
        0.0442354,
        0.0442109,
        0.0441553,
        0.0446533,
        0.044307,
        0.0437753,
        0.043915,
        0.0433725,
        0.0430986,
        0.0430556,
        0.0432498,
        0.0432247,
        0.0433238,
        0.0432293,
        0.0429008,
        0.0426861,
        0.0427155,
        0.0428018,
        0.0423812,
        0.0426315,
        0.0424332,
        0.0421221,
        0.0420647,
        0.0420662,
        0.0425028,
        0.0427781,
        0.0426906,
        0.0426123,
        0.0425856,
        0.0427755,
        0.0426381,
        0.0423994,
        0.0430793,
        0.0435014,
        0.0439476,
        0.0443787,
        0.0449128,
        0.0454698,
        0.0464626,
        0.0471471,
        0.0476591,
        0.0474062,
        0.0467558,
        0.0464381,
        0.0462827,
        0.046253,
        0.0457874,
        0.0452618,
        0.0450677,
        0.04455,
        0.0441832,
        0.0442633,
        0.0446173,
        0.0446473,
        0.0438947,
        0.0506469,
        0.0500775,
        0.0437101,
        0.0433603,
        0.0433148,
        0.0440493,
        0.0434887,
        0.0427834,
        0.0430064,
        0.04334,
        0.043058,
        0.0429294,
        0.0430047,
        0.0421884,
        0.0422462,
        0.0422633,
        0.0423552,
        0.0421944,
        0.0418187,
        0.042038,
        0.0436136,
        0.043751,
        0.0424891,
        0.0421372,
        0.041619,
        0.0417849,
        0.0417929,
        0.0412534,
        0.0412876,
        0.0416996,
        0.0411624,
        0.0411605,
        0.0411048,
        0.0415493,
        0.0412252,
        0.0414033,
        0.0416362,
        0.0411959,
        0.0412527,
        0.0411072,
        0.0416525,
        0.0416618,
        0.0413464,
        0.0413249,
        0.0418546,
        0.041931,
        0.0419629,
        0.0419998,
        0.0422365,
        0.0443134,
        0.0438091,
        0.0436352,
        0.0430906,
        0.0426806,
        0.0425996,
        0.0425661,
        0.0432194,
        0.0516754,
        0.0586039,
        0.0490991,
        0.0439403,
        0.0441015,
        0.0440436,
        0.0439746,
        0.043927,
        0.043774,
        0.0435796,
        0.0433744,
        0.0433121,
        0.0433785,
        0.0433123,
        0.0431833,
        0.0425165,
        0.0422486,
        0.0426517,
        0.0427934,
        0.0426617,
        0.0421164,
        0.0419492,
        0.0422216,
        0.0418117,
        0.041368,
        0.0415942,
        0.0416421,
        0.0413192,
        0.0409384,
        0.0409809,
        0.0435919,
        0.0430763,
        0.0411945,
        0.0406684,
        0.0405061,
        0.0407689,
        0.0403118,
        0.0408669,
        0.0411682,
        0.041095,
        0.0406564,
        0.0408878,
        0.0411811,
        0.0408255,
        0.0411073,
        0.0415669,
        0.0414704,
        0.0415586,
        0.0418105,
        0.0417975,
        0.0418059,
        0.0418577,
        0.0421664,
        0.0421128,
        0.0459438,
        0.0464397,
        0.0426537,
        0.0427997,
        0.0426567,
        0.0425689,
        0.042419,
        0.0426351,
        0.0428716,
        0.0437662,
        0.0441981,
        0.0441345,
        0.0439217,
        0.0437966,
        0.0439476,
        0.0437934,
        0.0439586,
        0.0441731,
        0.0442471,
        0.0441718,
        0.0444367,
        0.0449404,
        0.0454213,
        0.0453763,
        0.0449162,
        0.045553,
        0.0455653,
        0.0462542,
        0.0465982,
        0.0475101,
        0.0479682,
        0.0481143,
        0.0489312,
        0.0512483,
        0.0523212,
        0.0545004,
        0.0554128,
        0.0582182,
        0.061517,
        0.0664061,
        0.0719629,
        0.077297,
        0.08457,
        0.0908176,
        0.0960444,
        0.0970673,
        0.111068,
        0.103139,
        0.0804704,
        0.0745173,
        0.0692175,
        0.0643712,
        0.0600895,
        0.0573252,
        0.0550352,
        0.0533751,
        0.0512491,
        0.049527,
        0.0489088,
        0.0475253,
        0.0472279,
        0.0465036,
        0.0466339,
        0.0461795,
        0.0459792,
        0.0459466,
        0.0454614,
        0.0448549,
        0.0445127,
        0.0449739,
        0.0447877,
        0.0448091,
        0.0448454,
        0.0448168,
        0.0448974,
        0.0446421,
        0.0448554,
        0.0444041,
        0.0445276,
        0.0442435,
        0.0437446,
        0.043906,
        0.0437422,
        0.043425,
        0.0437374,
        0.0439472,
        0.0436759,
        0.0439058,
        0.0437996,
        0.0432786,
        0.0430532,
        0.0432553,
        0.0433484,
        0.0432915,
        0.0423924,
        0.0426277,
        0.0431202,
        0.0430516,
        0.0429179,
        0.0436175,
        0.0433152,
        0.0429391,
        0.043298,
        0.0426763,
        0.0426583,
        0.042922,
        0.0428257,
        0.0430367,
        0.0430824,
        0.0428371,
        0.042611,
        0.0433134,
        0.0437799,
        0.0432183,
        0.0432163,
        0.0435425,
        0.0433923,
        0.0440427,
        0.0442484,
        0.0442169,
        0.0444493,
        0.0446699,
        0.044834,
        0.0449961,
        0.0451815,
        0.0454967,
        0.0456661,
        0.0460939,
        0.046164,
        0.0462475,
        0.0469963,
        0.0476045,
        0.0479446,
        0.0488897,
        0.0487774,
        0.0489232,
        0.0493441,
        0.0530774,
        0.0534336,
        0.0500523,
        0.0502344,
        0.0504136,
        0.0516627,
        0.05298,
        0.0531353,
        0.0536533,
        0.0532124,
        0.0535326,
        0.0534473,
        0.053565,
        0.0533745,
        0.0533148,
        0.0533753,
        0.0538066,
        0.0540375,
        0.0540462,
        0.0538068,
        0.0547774,
        0.054511,
        0.0549272,
        0.0555841,
        0.0562618,
        0.0569863,
        0.062119,
        0.0621199,
        0.0585693,
        0.0593365,
        0.0605241,
        0.0618202,
        0.0625159,
        0.0636738,
        0.0655588,
        0.0653209,
        0.0659427,
        0.0669759,
        0.0689941,
        0.0702172,
        0.0714261,
        0.0737902,
        0.0759143,
        0.0767513,
        0.0792235,
        0.0837509,
        0.0901149,
        0.09198,
        0.0958536,
        0.100293,
        0.104941,
        0.11491,
        0.119371,
        0.124415,
        0.13433,
        0.144122,
        0.165998,
        0.183649,
        0.190959,
        0.214691,
        0.245096,
        0.29514,
        0.298526,
        0.270743,
        0.227901,
        0.201455,
        0.181519,
        0.164443,
        0.148748,
        0.137147,
        0.127852,
        0.121571,
        0.113966,
        0.107412,
        0.100688,
        0.095506,
        0.0953966,
        0.0914171,
        0.0880183,
        0.0831941,
        0.0812,
        0.0795868,
        0.0789093,
        0.0760761,
        0.0739142,
        0.0730293,
        0.0708223,
        0.0696998,
        0.0689752,
        0.067994,
        0.0668546,
        0.0659993,
        0.0663636,
        0.0785688,
        0.0783305,
        0.0643738,
        0.0628928,
        0.062232,
        0.0607763,
        0.0602555,
        0.0600748,
        0.0585295,
        0.0578283,
        0.058374,
        0.0565625,
        0.0562705,
        0.0560181,
        0.0551715,
        0.054276,
        0.0533736,
        0.0534502,
        0.0533092,
        0.052595,
        0.0520166,
        0.0513529,
        0.0510091,
        0.0502827,
        0.0511131,
        0.0504657,
        0.0493833,
        0.0490757,
        0.0517097,
        0.052476,
        0.0489471,
        0.0485655,
        0.0475213,
        0.0480509,
        0.0478609,
        0.0476221,
        0.0476193,
        0.0479558,
        0.0479721,
        0.0479283,
        0.0480434,
        0.0478985,
        0.0481509,
        0.048296,
        0.0485984,
        0.0477224,
        0.0479612,
        0.0478087,
        0.0476792,
        0.0481186,
        0.0480547,
        0.0475586,
        0.0480216,
        0.0502085,
        0.0531804,
        0.0569956,
        0.0590823,
        0.0590786,
        0.0572349,
        0.0532721,
        0.049947,
        0.0476322,
        0.0464914,
        0.0461136,
        0.0458188,
        0.0452147,
        0.0455003,
        0.0450108,
        0.0453822,
        0.0460243,
        0.0448308,
        0.0444025,
        0.0451319,
        0.0449032,
        0.0451751,
        0.0453819,
        0.0457362,
        0.0460603,
        0.0461317,
        0.0457037,
        0.0490355,
        0.0490743,
        0.0461623,
        0.0463374,
        0.0458894,
        0.0456318,
        0.0449698,
        0.0441836,
        0.0437048,
        0.0436384,
        0.0434013,
        0.0434435,
        0.0432186,
        0.0422625,
        0.0423867,
        0.0423028,
        0.0420284,
        0.0417221,
        0.0417219,
        0.0416066,
        0.041117,
        0.0415171,
        0.0413488,
        0.0413861,
        0.0413059,
        0.0409909,
        0.0409514,
        0.0412498,
        0.0410171,
        0.0414518,
        0.0410551,
        0.0410503,
        0.0409702,
        0.0410256,
        0.0477799,
        0.0477799,
        0.0412355,
        0.0414714,
        0.0411623,
        0.0411655,
        0.0412442,
        0.0410227,
        0.0419489,
        0.0450765,
        0.0450665,
        0.0423565,
        0.0423724,
        0.0423138,
        0.0424991,
        0.042032,
        0.0422029,
        0.0426105,
        0.0419296,
        0.0421345,
        0.0417377,
        0.0418475,
        0.0424485,
        0.0424819,
        0.0426863,
        0.0430434,
        0.0430752,
        0.0429469,
        0.0442714,
        0.0448929,
        0.0457954,
        0.0470725,
        0.0466687,
        0.0465505,
        0.0456031,
        0.0441794,
        0.0430688,
        0.0432477,
        0.0428827,
        0.0418198,
        0.042028,
        0.0422905,
        0.0416336,
        0.0414352,
        0.0423202,
        0.0422071,
        0.0413628,
        0.0413708,
        0.0419314,
        0.0413665,
        0.0408168,
        0.0409854,
        0.0412372,
        0.0411666,
        0.0421288,
        0.0423615,
        0.0410788,
        0.0414483,
        0.0410764,
        0.0412395,
        0.0426549,
        0.0414303,
        0.0411153,
        0.0412935,
        0.0416776,
        0.0416493,
        0.0415933,
        0.0420915,
        0.0423789,
        0.0416722,
        0.0417467,
        0.0417281,
        0.04203,
        0.0421463,
        0.042256,
        0.0421039,
        0.0424686,
        0.0424458,
        0.0424584,
        0.0423736,
        0.0424789,
        0.0431562,
        0.0426975,
        0.0427933,
        0.0433722,
        0.0435779,
        0.0437888,
        0.0436162,
        0.0435239,
        0.0433027,
        0.0434667,
        0.0439647,
        0.0436277,
        0.0436182,
        0.0427687,
        0.0425775,
        0.0434306,
        0.0438205,
        0.0439549,
        0.0431308,
        0.0431003,
        0.0426918,
        0.0424219,
        0.0425068,
        0.0423894,
        0.0420267,
        0.0425659,
        0.0427357,
        0.0419759,
        0.0423874,
        0.0425379,
        0.04257,
        0.0423361,
        0.0420577,
        0.0414008,
        0.0414853,
        0.0411669,
        0.0416416,
        0.0420823,
        0.0416768,
        0.0415227,
        0.0416202,
        0.0414466,
        0.0416795,
        0.041625,
        0.0416928,
        0.0418594,
        0.0419982,
        0.0418641,
        0.042084,
        0.0413738,
        0.0417996,
        0.0423868,
        0.0438809,
        0.0438868,
        0.0422188,
        0.0422077,
        0.0424576,
        0.0424439,
        0.0434738,
        0.0431478,
        0.0429254,
        0.0430316,
        0.0435292,
        0.0440348,
        0.0435158,
        0.0432844,
        0.0433468,
        0.0432948,
        0.0434715,
        0.0442344,
        0.0470985,
        0.0468096,
        0.0432405,
        0.0433496,
        0.0460231,
        0.0462981,
        0.0442429,
        0.0448392,
        0.0443026,
        0.0442167,
        0.0443713,
        0.0442282,
        0.0441548,
        0.045143,
        0.0449617,
        0.0457893,
        0.0466678,
        0.0468573,
        0.0468948,
        0.0464502,
        0.0464977,
        0.0454356,
        0.0448225,
        0.0443626,
        0.0443237,
        0.0443172,
        0.0434233,
        0.0426556,
        0.0427924,
        0.0429757,
        0.0433949,
        0.0431471,
        0.0425044,
        0.0423458,
        0.0427002,
        0.0426315,
        0.0421219,
        0.0421203,
        0.0424565,
        0.0427341,
        0.0431195,
        0.0428813,
        0.0431846,
        0.0432502,
        0.0434908,
        0.0431883,
        0.0455621,
        0.0459327,
        0.0434322,
        0.0438118,
        0.0435767,
        0.0437127,
        0.0435443,
        0.0435826,
        0.0433746,
        0.0433662,
        0.0435034,
        0.0438781,
        0.0439666,
        0.0446631,
        0.0447164,
        0.0448322,
        0.0455931,
        0.0457066,
        0.0452158,
        0.0455839,
        0.0454235,
        0.0451762,
        0.0452422,
        0.0464238,
        0.0476634,
        0.045411,
        0.0452418,
        0.0460244,
        0.0457687,
        0.0452338,
        0.045368,
        0.0452986,
        0.0456784,
        0.0459061,
        0.0468801,
        0.0468492,
        0.0458323,
        0.0470377,
        0.0475327,
        0.0456041,
        0.0452971,
        0.0444866,
        0.0457416,
        0.0460068,
        0.044716,
        0.0443684,
        0.0437356,
        0.0437727,
        0.0437684,
        0.0435404,
        0.0438382,
        0.0433542,
        0.0431802,
        0.0436636,
        0.0500256,
        0.0486118,
        0.0437334,
        0.043514,
        0.0435473,
        0.0435442,
        0.0440754,
        0.0438205,
        0.0463698,
        0.0462108,
        0.0436034,
        0.0441725,
        0.0456188,
        0.0445677,
        0.0445559,
        0.0445519,
        0.0451074,
        0.0448918,
        0.0448733,
        0.0455904,
        0.0458104,
        0.0462103,
        0.0466217,
        0.0472248,
        0.0481294,
        0.0478278,
        0.0488151,
        0.0490543,
        0.0553209,
        0.0545141,
        0.047859,
        0.0516841,
        0.0519262,
        0.0513347,
        0.0516133,
        0.0472402,
        0.0468135,
        0.0464444,
        0.0463486,
        0.0463859,
        0.0471192,
        0.0468284,
        0.0461945,
        0.0457987,
        0.0458172,
        0.0464061,
        0.0463992,
        0.0457302,
        0.0462191,
        0.0459995,
        0.0524804,
        0.0529836,
        0.0455625,
        0.0447661,
        0.0446719,
        0.045503,
        0.0451213,
        0.0447058,
        0.0450466,
        0.0445565,
        0.0445433,
        0.0471584,
        0.045619,
        0.0441208,
        0.044444,
        0.0442897,
        0.0441106,
        0.0436538,
        0.0453326,
        0.0455668,
        0.0441651,
        0.0437714,
        0.0442629,
        0.0447162,
        0.044493,
        0.0444644,
        0.0447656,
        0.0454536,
        0.0449916,
        0.0460284,
        0.0455927,
        0.0453727,
        0.0451943,
        0.0454483,
        0.0457354,
        0.0462378,
        0.0459845,
        0.0454973,
        0.0456218,
        0.0459263,
        0.0457329,
        0.0468222,
        0.0466991,
        0.046946,
        0.0469611,
        0.0470907,
        0.0504695,
        0.0507155,
        0.0467776,
        0.0471792,
        0.0473225,
        0.0471941,
        0.0471656,
        0.0471808,
        0.048144,
        0.0479527,
        0.0516438,
        0.0509078,
        0.0476689,
        0.0482619,
        0.0486822,
        0.0485961,
        0.0483233,
        0.0485323,
        0.048684,
        0.0488077,
        0.048871,
        0.0492085,
        0.0494377,
        0.0504421,
        0.0512828,
        0.0510628,
        0.0515368,
        0.0513245,
        0.050629,
        0.0499765,
        0.048935,
        0.0492085,
        0.0483802,
        0.0478327,
        0.0482779,
        0.0474356,
        0.0474694,
        0.0474355,
        0.0470184,
        0.047329,
        0.0468578,
        0.0464098,
        0.0468619,
        0.0470911,
        0.0462818,
        0.0465569,
        0.0472066,
        0.0469759,
        0.0470184,
        0.0514496,
        0.0514344,
        0.0472196,
        0.0471567,
        0.047205,
        0.0474375,
        0.0478561,
        0.0480897,
        0.0485929,
        0.0491189,
        0.0492952,
        0.0507218,
        0.0516368,
        0.0491417,
        0.0498726,
        0.0492844,
        0.0496018,
        0.0499206,
        0.0500264,
        0.0501531,
        0.0499968,
        0.0500788,
        0.0503563,
        0.0503061,
        0.0498923,
        0.0503941,
        0.051439,
        0.0518932,
        0.0511145,
        0.0508012,
        0.0508038,
        0.0506498,
        0.0511331,
        0.0506641,
        0.0501954,
        0.0507264,
        0.0521069,
        0.0516043,
        0.0511826,
        0.0511237,
        0.0506423,
        0.050009,
        0.0497905,
        0.0508117,
        0.0513387,
        0.0513082,
        0.0510167,
        0.0506479,
        0.0497523,
        0.0500904,
        0.049751,
        0.0500628,
        0.0497832,
        0.0507938,
        0.0505608,
        0.0505417,
        0.0501385,
        0.0502517,
        0.0499845,
        0.0503192,
        0.0506421,
        0.0501286,
        0.053536,
        0.0534321,
        0.0505426,
        0.050509,
        0.0508878,
        0.0510646,
        0.0514026,
        0.0517499,
        0.052151,
        0.0510521,
        0.0512546,
        0.0514966,
        0.0518091,
        0.0519677,
        0.052064,
        0.0520499,
        0.0525597,
        0.052885,
        0.0528614,
        0.0530348,
        0.0531495,
        0.0541615,
        0.0536814,
        0.0534276,
        0.0533888,
        0.0536485,
        0.054747,
        0.0545008,
        0.0547868,
        0.0651356,
        0.0652512,
        0.0550147,
        0.0560162,
        0.0569002,
        0.0551207,
        0.0543756,
        0.0548989,
        0.0605079,
        0.0632065,
        0.0552288,
        0.0552398,
        0.054567,
        0.0543001,
        0.0547072,
        0.0550687,
        0.0542333,
        0.0545948,
        0.0546163,
        0.0542672,
        0.0544562,
        0.0537132,
        0.0531658,
        0.0544815,
        0.0555627,
        0.0545649,
        0.0540532,
        0.0537215,
        0.0541814,
        0.0549668,
        0.0555554,
        0.0553087,
        0.0546891,
        0.0539076,
        0.0540126,
        0.0541352,
        0.0541256,
        0.0547217,
        0.0547554,
        0.0550091,
        0.0549934,
        0.0550959,
        0.0566804,
        0.0565339,
        0.0559959,
        0.0569087,
        0.0569647,
        0.0565144,
        0.0558906,
        0.0566685,
        0.0576933,
        0.057443,
        0.0569685,
        0.0569193,
        0.0575439,
        0.0581885,
        0.0581099,
        0.0587215,
        0.0605509,
        0.0607442,
        0.0608223,
        0.0602752,
        0.0600682,
        0.0598998,
        0.0597823,
        0.0602586,
        0.0609374,
        0.0619556,
        0.0619134,
        0.0621096,
        0.0624193,
        0.063453,
        0.0627608,
        0.0643468,
        0.0653077,
        0.0656786,
        0.0658233,
        0.0663768,
        0.0675142,
        0.0683419,
        0.070481,
        0.073538,
        0.080153,
        0.0844299,
        0.086447,
        0.0881943,
        0.0918544,
        0.092893,
        0.0913402,
        0.093179,
        0.0902852,
        0.0817307,
        0.0802037,
        0.0777329,
        0.0759725,
        0.0744203,
        0.0722723,
        0.0699589,
        0.0681189,
        0.0671666,
        0.0664244,
        0.0653007,
        0.0646176,
        0.06441,
        0.0644395,
        0.0645739,
        0.0636005,
        0.0641656,
        0.0650257,
        0.0648869,
        0.0646062,
        0.0634701,
        0.0644416,
        0.0657134,
        0.0656738,
        0.0653165,
        0.065943,
        0.0669528,
        0.0671802,
        0.0685687,
        0.0676723,
        0.0665947,
        0.0674432,
        0.0689462,
        0.0706189,
        0.0709161,
        0.0702719,
        0.0703894,
        0.0698099,
        0.0699382,
        0.0701857,
        0.0729075,
        0.0729471,
        0.0713667,
        0.0726567,
        0.0748408,
        0.0736415,
        0.0744144,
        0.0762767,
        0.0769422,
        0.078606,
        0.080241,
        0.0813248,
        0.0853914,
        0.0882031,
        0.083187,
        0.0837831,
        0.0845537,
        0.0852709,
        0.0855593,
        0.083799,
        0.083183,
        0.0822976,
        0.0828335,
        0.0802627,
        0.0789341,
        0.0788112,
        0.0768472,
        0.0766959,
        0.0774725,
        0.0767296,
        0.0770775,
        0.0760925,
        0.0755525,
        0.0768707,
        0.0777047,
        0.0783348,
        0.079477,
        0.0792034,
        0.0787245,
        0.0778114,
        0.0800851,
        0.0803324,
        0.0808689,
        0.0807051,
        0.0794133,
        0.0789835,
        0.0814521,
        0.0817663,
        0.0835959,
        0.0839942,
        0.0820436,
        0.0813963,
        0.0828448,
        0.0831005,
        0.083153,
        0.0835105,
        0.0827271,
        0.0837705,
        0.0848864,
        0.0861516,
        0.0863555,
        0.0882907,
        0.0994243,
        0.101291,
        0.104715,
        0.105587,
        0.0956203,
        0.0963599,
        0.0958602,
        0.0978403,
        0.0977733,
        0.0973888,
        0.0970793,
        0.105718,
        0.107939,
        0.0994434,
        0.0989825,
        0.101452,
        0.10302,
        0.10705,
        0.107942,
        0.108491,
        0.110747,
        0.111104,
        0.119438,
        0.120231,
        0.113515,
        0.111391,
        0.109102,
        0.109256,
        0.111857,
        0.109039,
        0.103159,
        0.101186,
        0.102299,
        0.101233,
        0.103101,
        0.100193,
        0.0976601,
        0.0971702,
        0.0992462,
        0.100187,
        0.099826,
        0.101012,
        0.0997587,
        0.099715,
        0.100595,
        0.106811,
        0.124613,
        0.123857,
        0.102393,
        0.103496,
        0.104789,
        0.105445,
        0.104443,
        0.112366,
        0.112255,
        0.105338,
        0.107222,
        0.108352,
        0.109059,
        0.10733,
        0.109326,
        0.112697,
        0.112976,
        0.127547,
        0.134997,
        0.115436,
        0.116937,
        0.118549,
        0.117308,
        0.120487,
        0.122143,
        0.122323,
        0.122985,
        0.125944,
        0.128289,
        0.127,
        0.128035,
        0.129714,
        0.128432,
        0.132265,
        0.133922,
        0.13417,
        0.133546,
        0.140069,
        0.139239,
        0.138811,
        0.140675,
        0.141719,
        0.143498,
        0.142999,
        0.146905,
        0.147493,
        0.148288,
        0.152218,
        0.148989,
        0.151095,
        0.155099,
        0.154274,
        0.14737,
        0.182114,
        0.188781,
        0.158716,
        0.157096,
        0.180278,
        0.183633,
        0.171574,
        0.171552,
        0.179665,
        0.186082,
        0.187047,
        0.190327,
        0.198672,
        0.224335,
        0.226678,
        0.198412,
        0.196597,
        0.202928,
        0.193735,
        0.197364,
        0.2067,
        0.207847,
        0.210156,
        0.21727,
        0.224319,
        0.243847,
        0.243163,
        0.235425,
        0.228356,
        0.247116,
        0.238067,
        0.244726,
        0.246699,
        0.283379,
        0.293331,
        0.292576,
        null,
        0.282166,
        0.310842,
        0.277778,
        0.268948,
        0.266489,
        0.255738,
        0.250055,
        0.238548,
        0.227085,
        0.224973,
        0.21712,
        0.215092,
        0.21783,
        0.212853,
        0.202052,
        0.20978,
        0.210989,
        0.204028,
        0.204479,
        0.19783,
        0.200033,
        0.200248,
        0.193297,
        0.195425,
        0.194281,
        0.195123,
        0.201469,
        0.193495,
        0.199899,
        0.201617,
        0.189582,
        0.175121,
        null,
        0.0815818,
        0.081158,
        0.0807154,
        0.0798588,
        0.0813046,
        0.0808213,
        0.0800503,
        0.0808069,
        0.0816139,
        0.0801276,
        0.0802904,
        0.0800522,
        0.0810198,
        0.0811787,
        0.0817895,
        0.0822847,
        0.0814871,
        0.0824512,
        0.0851123,
        0.0839259,
        0.0835248,
        0.0839477,
        0.0843233,
        0.0850792,
        0.0863265,
        0.0868765,
        0.088245,
        0.0887157,
        0.090328,
        0.0946577,
        0.0953172,
        0.121726,
        0.130214,
        0.103467,
        0.10696,
        0.111213,
        0.114849,
        0.117447,
        0.116914,
        0.113857,
        0.113137,
        0.115473,
        0.116729,
        0.123846,
        0.130612,
        0.132981,
        0.1381,
        0.142911,
        0.140794,
        0.142195,
        0.137304,
        0.129987,
        0.125147,
        0.124928,
        0.118935,
        0.126974,
        0.130553,
        0.119369,
        0.11981,
        0.118866,
        0.118528,
        0.121387,
        0.123086,
        0.120198,
        0.123036,
        0.11992,
        0.121406,
        0.122781,
        0.12779,
        0.133248,
        0.133909,
        0.134243,
        0.136828,
        0.143013,
        0.144448,
        0.147963,
        0.152909,
        0.156431,
        0.157007,
        0.159576,
        0.166156,
        0.168892,
        0.170065,
        0.177795,
        0.187328,
        0.193473,
        0.20447,
        0.217378,
        0.222309,
        0.227598,
        0.27744,
        0.302878,
        null,
        0.248558,
        0.240823,
        0.2392,
        0.230757,
        0.223053,
        0.265963,
        0.238068,
        0.225408,
        0.203433,
        0.210661,
        0.215087,
        0.201706,
        0.189461,
        0.183404,
        0.174113,
        0.16878,
        0.160823,
        0.155609,
        0.152001,
        0.14761,
        0.137909,
        0.132884,
        0.129484,
        0.126891,
        0.124582,
        0.120069,
        0.116934,
        0.113228,
        0.108766,
        0.107303,
        0.107978,
        0.104514,
        0.102502,
        0.101191,
        0.101878,
        0.10052,
        0.0988074,
        0.100013,
        0.101057,
        0.0996387,
        0.0985245,
        0.0978551,
        0.0990256,
        0.100216,
        0.104193,
        0.106937,
        0.109418,
        0.108762,
        0.107113,
        0.102286,
        0.0997279,
        0.0974542,
        0.103165,
        0.0991528,
        0.0895542,
        0.08789,
        0.0866816,
        0.0849892,
        0.0845552,
        0.0839913,
        0.0827322,
        0.0823157,
        0.0815732,
        0.0802849,
        0.0793535,
        0.0803254,
        0.0795736,
        0.078315,
        0.0791319,
        0.0785792,
        0.0787966,
        0.0771973,
        0.0773237,
        0.0781035,
        0.0762338,
        0.0742617,
        0.0747146,
        0.0746797,
        0.0728483,
        0.0726733,
        0.0733517,
        0.0726756,
        0.0797408,
        0.0786124,
        0.0701317,
        0.0697648,
        0.0685731,
        0.0685619,
        0.0692402,
        0.0686821,
        0.0679258,
        0.0695276,
        0.0680918,
        0.0681633,
        0.0685642,
        0.0681629,
        0.0679444,
        0.0674667,
        0.0658637,
        0.0658489,
        0.0664388,
        0.0678246,
        0.0679541,
        0.0671727,
        0.0671668,
        0.0684643,
        0.0702681,
        0.0671665,
        0.0676855,
        0.0682538,
        0.0677078,
        0.0689292,
        0.0684831,
        0.0701386,
        0.0724456,
        0.0747827,
        0.0706561,
        0.0710074,
        0.0712481,
        0.0721826,
        0.0722726,
        0.0749727,
        0.0770579,
        0.0778825,
        0.080108,
        0.0815362,
        0.0858372,
        0.0881083,
        0.091179,
        0.095736,
        0.103156,
        0.11187,
        0.120299,
        0.128101,
        0.139589,
        0.142312,
        0.140961,
        0.138398,
        0.133931,
        0.124619,
        0.11381,
        0.105347,
        0.0989497,
        0.0935585,
        0.087659,
        0.083888,
        0.0812686,
        0.0771381,
        0.0752143,
        0.0737506,
        0.0711958,
        0.0700223,
        0.0684515,
        0.0665573,
        0.0661753,
        0.0651456,
        0.0649195,
        0.0638025,
        0.0632062,
        0.0625638,
        0.0622748,
        0.0613182,
        0.0611829,
        0.0609925,
        0.0611128,
        0.0625706,
        0.0635068,
        0.0600665,
        0.0601697,
        0.0606498,
        0.0600751,
        0.0609149,
        0.0604602,
        0.0606223,
        0.0605568,
        0.0601913,
        0.065744,
        0.0662452,
        0.060022,
        0.0604131,
        0.0626265,
        0.062027,
        0.0600908,
        0.0603079,
        0.0606852,
        0.0608853,
        0.0603228,
        0.0605617,
        0.0611426,
        0.0609937,
        0.0603976,
        0.0604862,
        0.0604564,
        0.0606938,
        0.0603239,
        0.0601096,
        0.0588752,
        0.0590511,
        0.0595609,
        0.0594623,
        0.0594953,
        0.0583564,
        0.058171,
        0.0588596,
        0.0584862,
        0.0580382,
        0.057539,
        0.0573129,
        0.0575767,
        0.0571295,
        0.0565024,
        0.0576537,
        0.0575807,
        0.0568252,
        0.0572903,
        0.0572044,
        0.0563106,
        0.0563089,
        0.0564654,
        0.0560887,
        0.0565823,
        0.0570167,
        0.057298,
        0.0579053,
        0.0581635,
        0.0570895,
        0.0580891,
        0.0588966,
        0.0590914,
        0.0592925,
        0.0607094,
        0.0611622,
        0.062834,
        0.0644114,
        0.0676162,
        0.0718601,
        0.0742148,
        0.0734405,
        0.072236,
        0.0699387,
        0.0675159,
        0.0655069,
        0.0627838,
        0.061731,
        0.060807,
        0.0609383,
        0.0615153,
        0.060977,
        0.0602019,
        0.0628567,
        0.0602474,
        0.0597361,
        0.0601355,
        0.059961,
        0.0593269,
        0.0592344,
        0.0593889,
        0.0592936,
        0.0589958,
        0.0583061,
        0.0586013,
        0.0592896,
        0.0577406,
        0.0586714,
        0.0586262,
        0.0574904,
        0.057945,
        0.0579038,
        0.0574186,
        0.0573113,
        0.0591965,
        0.0644806,
        0.0635634,
        0.0567934,
        0.0581512,
        0.0583651,
        0.0574563,
        0.0572485,
        0.0570305,
        0.0571205,
        0.0569358,
        0.0573791,
        0.0575718,
        0.0566982,
        0.0559906,
        0.0575427,
        0.0574887,
        0.0569647,
        0.0570221,
        0.0564703,
        0.0578547,
        0.0578229,
        0.0574841,
        0.0581071,
        0.057758,
        0.058856,
        0.0586588,
        0.0589299,
        0.0584634,
        0.0593884,
        0.0607403,
        0.0600935,
        0.0605384,
        0.0611856,
        0.0606106,
        0.0603965,
        0.0611579,
        0.06135,
        0.0607,
        0.0617152,
        0.0625224,
        0.0634494,
        0.0634601,
        0.0639925,
        0.0635732,
        0.0643589,
        0.065282,
        0.0652887,
        0.064604,
        0.0654846,
        0.0665131,
        0.064102,
        0.0680417,
        0.0667285,
        0.0652708,
        0.0653213,
        0.0648736,
        0.0638241,
        0.0644674,
        0.0648832,
        0.0649795,
        0.065908,
        0.0662903,
        0.0722144,
        0.0718218,
        0.0672762,
        0.0685102,
        0.0687068,
        0.0688503,
        0.070182,
        0.0713867,
        0.0727594,
        0.0742705,
        0.0760041,
        0.0764755,
        0.079206,
        0.0820799,
        0.0832417,
        0.0857577,
        0.0899704,
        0.0940488,
        0.100532,
        0.104612,
        0.111181,
        0.121103,
        0.134157,
        0.146122,
        0.16358,
        0.194648,
        0.228593,
        0.271982,
        0.329862,
        0.207965,
        0.190325,
        0.165779,
        0.144271,
        0.136419,
        0.138121,
        0.119157,
        0.110715,
        0.104573,
        0.097987,
        0.0971219,
        0.0925242,
        0.0898121,
        0.0865595,
        0.0846709,
        0.0909138,
        0.0906726,
        0.0807036,
        0.0791641,
        0.0788997,
        0.075929,
        0.0747913,
        0.0742689,
        0.07461,
        0.0730138,
        0.0713313,
        0.0716588,
        0.0748613,
        0.0734808,
        0.0722411,
        0.0705707,
        0.069322,
        0.0695886,
        0.0703398,
        0.0706939,
        0.0707648,
        0.0708041,
        0.0702703,
        0.0712204,
        0.0726571,
        0.0736601,
        0.0746232,
        0.0775998,
        0.0784219,
        0.0803341,
        0.0825072,
        0.0854116,
        0.101931,
        0.107228,
        0.100045,
        0.103701,
        0.105137,
        0.108846,
        0.106513,
        0.107586,
        0.109531,
        0.110971,
        0.115029,
        0.125864,
        0.135923,
        0.151142,
        0.178502,
        0.263989,
        0.199573,
        0.17619,
        0.151339,
        0.138643,
        0.121906,
        0.10979,
        0.105039,
        0.10042,
        0.0976489,
        0.0931053,
        0.0904744,
        0.0879352,
        0.0860749,
        0.0870539,
        0.0849821,
        0.0864514,
        0.090613,
        0.085656,
        0.0866779,
        0.0873342,
        0.0870067,
        0.088682,
        0.0895209,
        0.0885814,
        0.0919114,
        0.0938525,
        0.0851136,
        0.0859698,
        0.085618,
        0.0844469,
        0.0848498,
        0.0847523,
        0.083246,
        0.0848731,
        0.0851739,
        0.0874831,
        0.0868678,
        0.0883223,
        0.0908575,
        0.0956623,
        0.1031,
        0.109777,
        0.116616,
        0.121488,
        0.116221,
        0.113269,
        0.113433,
        0.113118,
        0.131923,
        0.136823,
        0.135168,
        0.138691,
        0.126205,
        0.127455,
        0.125822,
        0.122348,
        0.121181,
        0.124918,
        0.124881,
        0.125567,
        0.12856,
        0.136077,
        0.139093,
        0.146566,
        0.151002,
        0.158824,
        0.166539,
        0.177823,
        0.191761,
        0.233848,
        0.26378,
        0.324313,
        0.252147,
        0.229585,
        0.218062,
        0.199155,
        0.194457,
        0.185966,
        0.176554,
        0.16743,
        0.15931,
        0.15776,
        0.151247,
        0.148857,
        0.143106,
        0.146688,
        0.157142,
        0.142921,
        0.136071,
        0.131372,
        0.130941,
        0.131491,
        0.136981,
        0.128887,
        0.129582,
        0.127326,
        0.125283,
        0.124912,
        0.127418,
        0.131063,
        0.132095,
        0.131198,
        0.126255,
        0.131861,
        0.136162,
        0.143867,
        0.145512,
        0.147769,
        0.156764,
        0.167396,
        0.181278,
        0.190924,
        0.197941,
        0.201515,
        0.195525,
        0.183005,
        0.178802,
        0.175463,
        0.16319,
        0.160184,
        0.154712,
        0.151919,
        0.158127,
        0.144741,
        0.1453,
        0.149931,
        0.154766,
        0.154754,
        0.151861,
        0.158167,
        0.165169,
        0.163789,
        0.165479,
        0.174474,
        0.190345,
        0.201005,
        0.207424,
        0.246966,
        0.251366,
        0.217979,
        0.203372,
        0.204124,
        0.210656,
        0.221929,
        0.218851,
        0.225865,
        0.232121,
        0.239724,
        0.273549,
        0.28982,
        0.285347,
        0.318853,
        0.327355,
        null,
        0.297434,
        0.291425,
        0.270347,
        0.252516,
        0.233064,
        0.210714,
        0.202252,
        0.18979,
        0.184695,
        0.185496,
        0.184131,
        0.176978,
        0.173851,
        0.176025,
        0.169839,
        0.170601,
        0.167982,
        0.161954,
        0.163912,
        0.163307,
        0.158788,
        0.15926,
        0.160811,
        0.151468,
        0.14395,
        0.143609,
        0.140956,
        0.134471,
        0.13134,
        0.126033,
        0.11905,
        0.120836,
        0.121635,
        0.120043,
        0.115841,
        0.110651,
        0.118854,
        0.120369,
        0.108378,
        0.10481,
        0.103552,
        0.102964,
        0.0993776,
        0.0995311,
        0.098471,
        0.0983436,
        0.0962293,
        0.0958377,
        0.0974786,
        0.0970013,
        0.0918371,
        0.09145,
        0.0894361,
        0.0892486,
        0.087799,
        0.0871275,
        0.0852178,
        0.0847476,
        0.0860952,
        0.0877063,
        0.0857554,
        0.0843459,
        0.0839101,
        0.0863461,
        0.0864401,
        0.0833447,
        0.0823772,
        0.0807152,
        0.0809074,
        0.0800727,
        0.0782768,
        0.0789782,
        0.0798198,
        0.0885788,
        0.0881642,
        0.0823844,
        0.0833202,
        0.0832467,
        0.0851379,
        0.0876377,
        0.0884399,
        0.090572,
        0.0907397,
        0.0900711,
        0.0868598,
        0.0838767,
        0.0810924,
        0.0803022,
        0.078212,
        0.0773639,
        0.0781074,
        0.0773863,
        0.0754852,
        0.0756682,
        0.0753906,
        0.0753937,
        0.0746185,
        0.0741319,
        0.0734016,
        0.0733626,
        0.0722325,
        0.0718523,
        0.0705539,
        0.0709298,
        0.071751,
        0.0721242,
        0.0706375,
        0.0710381,
        0.0701751,
        0.0693008,
        0.0685379,
        0.0681726,
        0.0756788,
        0.0775739,
        0.0667783,
        0.0667707,
        0.0669502,
        0.0658965,
        0.0644586,
        0.0744513,
        0.0748196,
        0.0651035,
        0.0658223,
        0.0641487,
        0.0637486,
        0.0645095,
        0.063901,
        0.0638734,
        0.0643471,
        0.0634386,
        0.0643439,
        0.0642299,
        0.0628397,
        0.0635875,
        0.0643526,
        0.0634332,
        0.0636707,
        0.0636971,
        0.0647155,
        0.0639672,
        0.0630143,
        0.0636359,
        0.0626492,
        0.0630464,
        0.0639641,
        0.0681049,
        0.0755489,
        0.0776085,
        0.0639042,
        0.0640549,
        0.0641544,
        0.0636544,
        0.064291,
        0.0642371,
        0.0641742,
        0.0711966,
        0.0704937,
        0.0637686,
        0.0637231,
        0.0646358,
        0.064022,
        0.0636903,
        0.0633805,
        0.0634856,
        0.0630032,
        0.062521,
        0.0623899,
        0.0616099,
        0.0614268,
        0.0620881,
        0.0626167,
        0.063129,
        0.0648339,
        0.0634999,
        0.0608047,
        0.061111,
        0.061143,
        0.0608589,
        0.0606598,
        0.0596918,
        0.0600751,
        0.0605739,
        0.0598037,
        0.059362,
        0.0582084,
        0.0593515,
        0.0592596,
        0.0601528,
        0.0597456,
        0.0584579,
        0.0583297,
        0.0579167,
        0.0581242,
        0.0590055,
        0.0589693,
        0.0583065,
        0.0612558,
        0.0595146,
        0.0577251,
        0.0578182,
        0.0579055,
        0.0606815,
        0.0600963,
        0.0583397,
        0.0579055,
        0.0577435,
        0.0585215,
        0.0583492,
        0.0583929,
        0.058589,
        0.0591026,
        0.0591749,
        0.0619851,
        0.0642336,
        0.0600798,
        0.0595308,
        0.05965,
        0.0597309,
        0.0593619,
        0.0603304,
        0.0604456,
        0.0602336,
        0.0611955,
        0.061782,
        0.0611387,
        0.0612683,
        0.0609222,
        0.0614646,
        0.0617218,
        0.0615812,
        0.0632571,
        0.0623601,
        0.0604322,
        0.0604585,
        0.0605574,
        0.060363,
        0.0603431,
        0.0601171,
        0.0594747,
        0.0597903,
        0.0594408,
        0.0596551,
        0.0600951,
        0.0596284,
        0.0599163,
        0.061474,
        0.0607355,
        0.058857,
        0.058688,
        0.058347,
        0.0580924,
        0.0581462,
        0.0583005,
        0.0581566,
        0.0577279,
        0.0591745,
        0.0587906,
        0.05887,
        0.0593239,
        0.0593365,
        0.0588948,
        0.0587052,
        0.0581789,
        0.0578204,
        0.0583897,
        0.0633728,
        0.0642157,
        0.0597552,
        0.0604119,
        0.0600641,
        0.0597884,
        0.0590788,
        0.0594357,
        0.0607608,
        0.0607658,
        0.0604583,
        0.0609906,
        0.0622766,
        0.0632939,
        0.0646704,
        0.0667103,
        0.0683808,
        0.0696888,
        0.0713666,
        0.0712713,
        0.0700431,
        0.068566,
        0.0684015,
        0.0682592,
        0.0673872,
        0.066169,
        0.0662644,
        0.0660877,
        0.0661552,
        0.0693657,
        0.0745434,
        0.0663722,
        0.0665644,
        0.0672472,
        0.0789124,
        0.0797267,
        0.0668865,
        0.0667363,
        0.0657818,
        0.0659856,
        0.0733839,
        0.0717669,
        0.0639592,
        0.0630511,
        0.0628312,
        0.0623118,
        0.0630936,
        0.0627324,
        0.0625245,
        0.0622912,
        0.0613185,
        0.0607541,
        0.0615639,
        0.0655616,
        0.0652507,
        0.0616068,
        0.0671135,
        0.0743985,
        0.0711014,
        0.0606184,
        0.0606233,
        0.0594936,
        0.0606889,
        0.0628945,
        0.0621804,
        0.061495,
        0.0634611,
        0.0629565,
        0.0610182,
        0.0598645,
        0.0607972,
        0.0616567,
        0.0615412,
        0.0612716,
        0.0617873,
        0.0619591,
        0.0625038,
        0.0615936,
        0.0618253,
        0.0618169,
        0.0618529,
        0.0629349,
        0.0629129,
        0.0633039,
        0.0636877,
        0.0630534,
        0.0645113,
        0.0646753,
        0.0642358,
        0.0684907,
        0.0698503,
        0.0658619,
        0.0701986,
        0.068152,
        0.0641697,
        0.064811,
        0.065585,
        0.0653819,
        0.0642487,
        0.0723503,
        0.072014,
        0.0709346,
        0.0717691,
        0.064907,
        0.0647046,
        0.0648015,
        0.0651846,
        0.0658844,
        0.0660831,
        0.0660696,
        0.0649336,
        0.0656881,
        0.0664435,
        0.0664856,
        0.070174,
        0.0699363,
        0.0645889,
        0.0667665,
        0.0667051,
        0.0673596,
        0.0665968,
        0.0663465,
        0.0684148,
        0.0704297,
        0.0669649,
        0.0673918,
        0.0682203,
        0.0689739,
        0.070156,
        0.0701579,
        0.0707238,
        0.0703738,
        0.0708075,
        0.0728386,
        0.0735229,
        0.0740054,
        0.0741493,
        0.0759824,
        0.0763672,
        0.0760476,
        0.0770755,
        0.0858664,
        0.0897247,
        0.0802844,
        0.0821154,
        0.0869873,
        0.0882015,
        0.0909107,
        0.0917136,
        0.0923403,
        0.0943463,
        0.0994273,
        0.105542,
        0.108488,
        0.115097,
        0.12737,
        0.13592,
        0.142052,
        0.15707,
        0.172607,
        0.193021,
        0.22455,
        0.282543,
        0.349089,
        0.284924,
        0.247788,
        0.208915,
        0.184654,
        0.179148,
        0.160374,
        0.138706,
        0.13081,
        0.123128,
        0.115558,
        0.112445,
        0.114592,
        0.105166,
        0.0966929,
        0.0937806,
        0.0983588,
        0.0929867,
        0.0888313,
        0.0861502,
        0.0853396,
        0.0839968,
        0.0816134,
        0.0813815,
        0.0808513,
        0.0786927,
        0.0772601,
        0.077,
        0.0763461,
        0.0771155,
        0.077295,
        0.0759207,
        0.0761953,
        0.0760903,
        0.0762641,
        0.0805949,
        0.0857472,
        0.0754302,
        0.0912487,
        0.0997683,
        0.0790735,
        0.0907003,
        0.0937056,
        0.0767695,
        0.0774925,
        0.0767206,
        0.0780844,
        0.0794619,
        0.079407,
        0.0808387,
        0.0817196,
        0.0814636,
        0.0797703,
        0.0790739,
        0.0792557,
        0.0794486,
        0.0791107,
        0.0764501,
        0.075714,
        0.0760152,
        0.0768183,
        0.0766148,
        0.0911569,
        0.0901562,
        0.0757076,
        0.0758986,
        0.0771669,
        0.0777792,
        0.0753302,
        0.0749392,
        0.0762155,
        0.0767293,
        0.0774727,
        0.0760469,
        0.0762954,
        0.0768256,
        0.0776543,
        0.0783333,
        0.0823972,
        0.0806403,
        0.0855422,
        0.0847114,
        0.081021,
        0.079464,
        0.0786126,
        0.0783609,
        0.0806577,
        0.0806971,
        0.0790487,
        0.0777029,
        0.0787133,
        0.0805972,
        0.0804939,
        0.082018,
        0.0828585,
        0.0826959,
        0.0842744,
        0.0830296,
        0.0827114,
        0.0830403,
        0.0825406,
        0.0818868,
        0.0820929,
        0.0831771,
        0.0825706,
        0.0843761,
        0.0856367,
        0.0884996,
        0.0931658,
        0.0995852,
        0.107405,
        0.113684,
        0.122445,
        0.122191,
        0.118471,
        0.121945,
        0.12107,
        0.107922,
        0.110121,
        0.114133,
        0.123462,
        0.128118,
        0.137704,
        0.146539,
        0.179246,
        0.179656,
        0.169767,
        0.171971,
        0.183838,
        0.18196,
        0.15524,
        0.144989,
        0.133366,
        0.128203,
        0.123403,
        0.116899,
        0.113227,
        0.1103,
        0.106533,
        0.102408,
        0.0986045,
        0.0955663,
        0.103291,
        0.100068,
        0.0943118,
        0.0967578,
        0.0952302,
        0.0878941,
        0.0878571,
        0.0886886,
        0.088,
        0.0870174,
        0.0861309,
        0.0871129,
        0.0868715,
        0.0874237,
        0.0864396,
        0.08667,
        0.0884461,
        0.100415,
        0.0989042,
        0.0885112,
        0.0890336,
        0.0876513,
        0.0899261,
        0.0891855,
        0.0884996,
        0.0872395,
        0.0981895,
        0.100401,
        0.088459,
        0.0878879,
        0.0887351,
        0.0901055,
        0.0892505,
        0.0884132,
        0.0888255,
        0.0896776,
        0.0892067,
        0.0883889,
        0.0914186,
        0.0926628,
        0.0912782,
        0.0911647,
        0.0925701,
        0.0937666,
        0.0935013,
        0.0947048,
        0.0955146,
        0.113063,
        0.107254,
        0.0972217,
        0.0980159,
        0.0991572,
        0.0987709,
        0.101303,
        0.103475,
        0.107086,
        0.106598,
        0.10642,
        0.106765,
        0.109246,
        0.113113,
        0.115439,
        0.115463,
        0.11787,
        0.11961,
        0.126062,
        0.131694,
        0.134619,
        0.140139,
        0.149729,
        0.181554,
        0.191158,
        0.172778,
        0.17664,
        0.183187,
        0.184127,
        0.177285,
        0.181629,
        0.192,
        0.200118,
        0.198634,
        0.20866,
        0.234806,
        0.258707,
        0.308056,
        0.352728,
        0.311774,
        0.270863,
        0.246684,
        0.230027,
        0.205772,
        0.19951,
        0.19326,
        0.178508,
        0.170296,
        0.16718,
        0.163613,
        0.15075,
        0.143553,
        0.142573,
        0.137002,
        0.135193,
        0.132569,
        0.12904,
        0.127104,
        0.12978,
        0.120691,
        0.118385,
        0.11953,
        0.116201,
        0.116503,
        0.116983,
        0.114892,
        0.113762,
        0.111302,
        0.109529,
        0.111228,
        0.108066,
        0.10539,
        0.105633,
        0.105828,
        0.107195,
        0.106001,
        0.105821,
        0.106924,
        0.104343,
        0.103539,
        0.10454,
        0.102932,
        0.101355,
        0.100253,
        0.100095,
        0.0993175,
        0.0975583,
        0.104635,
        0.104801,
        0.0999672,
        0.0993264,
        0.0966562,
        0.0988913,
        0.100573,
        0.097371,
        0.0960629,
        0.0986616,
        0.101419,
        0.11526,
        0.111822,
        0.0982685,
        0.0968327,
        0.0987471,
        0.0989716,
        0.0996978,
        0.0983349,
        0.100604,
        0.105602,
        0.105435,
        0.0986008,
        0.0980833,
        0.0978106,
        0.100068,
        0.102116,
        0.10721,
        0.10792,
        0.102849,
        0.104885,
        0.112029,
        0.110242,
        0.102945,
        0.102127,
        0.104407,
        0.103939,
        0.102871,
        0.104219,
        0.105335,
        0.103303,
        0.103336,
        0.106668,
        0.107252,
        0.107631,
        0.105645,
        0.106389,
        0.107161,
        0.107711,
        0.105714,
        0.104494,
        0.104211,
        0.105158,
        0.108262,
        0.107755,
        0.106568,
        0.106353,
        0.108512,
        0.10688,
        0.107653,
        0.105982,
        0.106602,
        0.107307,
        0.104672,
        0.104168,
        0.105728,
        0.105776,
        0.105061,
        0.106946,
        0.108204,
        0.107614,
        0.107609,
        0.105866,
        0.105574,
        0.107278,
        0.106442,
        0.10965,
        0.106376,
        0.104656,
        0.109846,
        0.11169,
        0.127427,
        0.132415,
        0.109385,
        0.108116,
        0.110317,
        0.113479,
        0.113025,
        0.113062,
        0.112206,
        0.114358,
        0.114344,
        0.114301,
        0.116475,
        0.115665,
        0.114971,
        0.115048,
        0.116124,
        0.11616,
        0.12042,
        0.120441,
        0.120179,
        0.121226,
        0.124889,
        0.125068,
        0.123888,
        0.124514,
        0.1218,
        0.126077,
        0.126815,
        0.126061,
        0.124025,
        0.125896,
        0.124915,
        0.12729,
        0.150227,
        0.14622,
        0.131647,
        0.132073,
        0.13116,
        0.128538,
        0.134502,
        0.132714,
        0.128776,
        0.133299,
        0.132892,
        0.132903,
        0.133389,
        0.134861,
        0.136654,
        0.131695,
        0.140801,
        0.149861,
        0.137284,
        0.136546,
        0.135746,
        0.138249,
        0.133888,
        0.13327,
        0.136797,
        0.137147,
        0.13816,
        0.135074,
        0.1375,
        0.139794,
        0.141832,
        0.141135,
        0.140284,
        0.141481,
        0.142465,
        0.144091,
        0.156361,
        0.166357,
        0.147126,
        0.142866,
        0.147115,
        0.148821,
        0.147038,
        0.153146,
        0.156156,
        0.154715,
        0.15172,
        0.153484,
        0.156502,
        0.160775,
        0.178595,
        0.174946,
        0.163658,
        0.166287,
        0.164345,
        0.173092,
        0.181743,
        0.173003,
        0.178672,
        0.180233,
        0.178604,
        0.181539,
        0.178049,
        0.185419,
        0.186756,
        0.186634,
        0.190787,
        0.192037,
        0.192015,
        0.202281,
        0.199299,
        0.205529,
        0.201203,
        0.208536,
        0.204204,
        0.20129,
        0.196398,
        0.200918,
        0.204643,
        0.206017,
        0.210645,
        0.209542,
        0.209207,
        0.207313,
        0.219491,
        0.229462,
        0.227304,
        0.232734,
        0.239168,
        0.242101,
        0.239271,
        0.247137,
        0.236431,
        0.241293,
        0.249121,
        0.260456,
        0.256359,
        0.259298,
        0.259659,
        0.270659,
        0.277337,
        0.27679,
        0.287341,
        0.292929,
        0.29079,
        0.287786,
        null,
        0.284742,
        0.289922,
        0.274006,
        0.270323,
        0.258878,
        0.264682,
        0.269654,
        0.254997,
        0.250859,
        0.246825,
        0.25034,
        0.25528,
        0.262026,
        0.247062,
        0.245524,
        0.248983,
        0.243001,
        0.247374,
        0.247688,
        0.241478,
        0.224634,
        0.224199,
        0.226248,
        0.229559,
        0.24054,
        0.218215,
        0.212635,
        0.218691,
        0.217243,
        0.209723,
        0.208877,
        0.213136,
        0.209589,
        0.216772,
        0.215882,
        0.208967,
        0.21582,
        0.215077,
        0.208118,
        0.214106,
        0.210688,
        0.213631,
        0.221831,
        0.231609,
        0.244755,
        0.244544,
        0.267606,
        0.287942,
        0.220676,
        0.207862,
        0.195894,
        0.188006,
        0.183801,
        0.178314,
        0.170861,
        0.166856,
        0.164819,
        0.164488,
        0.157153,
        0.161404,
        0.158601,
        0.155478,
        0.15627,
        0.160514,
        0.160883,
        0.160873,
        0.160922,
        0.153797,
        0.15463,
        0.150131,
        0.150143,
        0.151883,
        0.152917,
        0.14837,
        0.145749,
        0.148703,
        0.149567,
        0.151139,
        0.150222,
        0.147999,
        0.143025,
        0.141138,
        0.141792,
        0.140447,
        0.144696,
        0.137747,
        0.136026,
        0.136816,
        0.138349,
        0.137416,
        0.139388,
        0.131911,
        0.137248,
        0.139813,
        0.135155,
        0.130616,
        0.132677,
        0.128842,
        0.12927,
        0.13131,
        0.127054,
        0.126788,
        0.127554,
        0.126526,
        0.12559,
        0.124,
        0.123856,
        0.125858,
        0.126138,
        0.125622,
        0.123473,
        0.12686,
        0.124702,
        0.123953,
        0.126278,
        0.121569,
        0.123942,
        0.123417,
        0.125198,
        0.125777,
        0.126148,
        0.125758,
        0.12746,
        0.129904,
        0.135995,
        0.138649,
        0.13647,
        0.132968,
        0.128647,
        0.129569,
        0.130074,
        0.127854,
        0.128606,
        0.122739,
        0.119356,
        0.120919,
        0.123486,
        0.125228,
        0.125837,
        0.122755,
        0.121769,
        0.122539,
        0.125706,
        0.124241,
        0.122558,
        0.122354,
        0.123391,
        0.123661,
        0.123432,
        0.124819,
        0.123093,
        0.122625,
        0.123979,
        0.124911,
        0.122019,
        0.125936,
        0.129451,
        0.129493,
        0.130824,
        0.132669,
        0.14031,
        0.14586,
        0.152966,
        0.154286,
        0.159427,
        0.167879,
        0.183434,
        0.20094,
        0.231881,
        0.262216,
        0.303571,
        0.352213,
        0.277079,
        0.224376,
        0.186654,
        0.17743,
        0.16465,
        0.153791,
        0.148937,
        0.140473,
        0.138351,
        0.134084,
        0.133014,
        0.129299,
        0.126461,
        0.121594,
        0.117711,
        0.117495,
        0.117557,
        0.1167,
        0.114752,
        0.112333,
        0.111201,
        0.112376,
        0.113055,
        0.112828,
        0.114556,
        0.111125,
        0.110224,
        0.110092,
        0.108971,
        0.110153,
        0.110746,
        0.11203,
        0.112406,
        0.110528,
        0.113115,
        0.114656,
        0.113235,
        0.116144,
        0.119434,
        0.123518,
        0.129119,
        0.128142,
        0.132633,
        0.141071,
        0.14373,
        0.146203,
        0.151281,
        0.148464,
        0.141686,
        0.137459,
        0.134251,
        0.125048,
        0.121696,
        0.114758,
        0.109159,
        0.105721,
        0.104562,
        0.103405,
        0.101172,
        0.100302,
        0.099162,
        0.0984705,
        0.0954885,
        0.0933093,
        0.0948906,
        0.0954347,
        0.095079,
        0.0945704,
        0.0922034,
        0.0901765,
        0.0932919,
        0.0925606,
        0.0919015,
        0.092448,
        0.091842,
        0.0903661,
        0.0913981,
        0.0928298,
        0.0946956,
        0.0946316,
        0.0919939,
        0.0919071,
        0.0903981,
        0.090829,
        0.0930819,
        0.09567,
        0.0936693,
        0.0920392,
        0.0919016,
        0.0917164,
        0.0906049,
        0.0893496,
        0.089459,
        0.090192,
        0.0919594,
        0.0909259,
        0.0893959,
        0.089377,
        0.0894964,
        0.0911237,
        0.0895596,
        0.0872816,
        0.0870388,
        0.0862518,
        0.0876373,
        0.0881985,
        0.0880022,
        0.088761,
        0.0891384,
        0.0878107,
        0.0877627,
        0.0887999,
        0.0890491,
        0.0884549,
        0.0894719,
        0.088586,
        0.0878235,
        0.0895187,
        0.0898611,
        0.0938833,
        0.0931011,
        0.0931771,
        0.0949962,
        0.0931356,
        0.0941224,
        0.0953369,
        0.0971114,
        0.102603,
        0.105184,
        0.111822,
        0.123193,
        0.144329,
        0.173653,
        0.223911,
        0.204387,
        0.156343,
        0.137619,
        0.123664,
        0.11452,
        0.110285,
        0.106292,
        0.102309,
        0.0984802,
        0.0982351,
        0.0987438,
        0.0969353,
        0.0942672,
        0.0922087,
        0.0909569,
        0.0903785,
        0.0909217,
        0.0902612,
        0.0893472,
        0.0881334,
        0.0889357,
        0.0871226,
        0.0892611,
        0.0882285,
        0.0873707,
        0.0895512,
        0.0883828,
        0.0864813,
        0.0869553,
        0.0870883,
        0.0855692,
        0.0844688,
        0.0859087,
        0.0864001,
        0.0868594,
        0.0949133,
        0.092984,
        0.08383,
        0.0843334,
        0.0864923,
        0.0854694,
        0.0838854,
        0.0864005,
        0.0856209,
        0.084876,
        0.0854879,
        0.0847316,
        0.0854065,
        0.0863272,
        0.0870958,
        0.0851791,
        0.0850583,
        0.086377,
        0.0872734,
        0.0885447,
        0.0867638,
        0.0886404,
        0.0900467,
        0.0911121,
        0.0926108,
        0.0921067,
        0.0934924,
        0.0953561,
        0.0949967,
        0.0942652,
        0.0947956,
        0.0976722,
        0.100771,
        0.106596,
        0.108858,
        0.111708,
        0.117488,
        0.124091,
        0.131095,
        0.139406,
        0.155499,
        0.170009,
        0.187999,
        0.203576,
        0.215016,
        0.236893,
        0.247007,
        0.271504,
        0.292074,
        0.281288,
        0.273466,
        0.283653,
        0.284192,
        0.253514,
        0.239318,
        0.241519,
        0.215975,
        0.196901,
        0.175506,
        0.163381,
        0.150969,
        0.137842,
        0.133381,
        0.129997,
        0.129453,
        0.125084,
        0.125145,
        0.124796,
        0.129902,
        0.134292,
        0.141905,
        0.151126,
        0.159261,
        0.164856,
        0.1844,
        0.192592,
        0.184917,
        0.179706,
        0.167319,
        0.146483,
        0.129439,
        0.122186,
        0.116935,
        0.106069,
        0.0995949,
        0.0980157,
        0.0972928,
        0.0944477,
        0.0909871,
        0.0899422,
        0.0880708,
        0.0880357,
        0.0889499,
        0.0872261,
        0.0863843,
        0.0854569,
        0.0844591,
        0.0953678,
        0.094859,
        0.0860835,
        0.0857026,
        0.0842517,
        0.0832745,
        0.0832449,
        0.0847235,
        0.0832758,
        0.0836314,
        0.0838782,
        0.0835477,
        0.0833559,
        0.0827974,
        0.0970718,
        0.0930716,
        0.0839089,
        0.0841108,
        0.0861074,
        0.0863024,
        0.0853091,
        0.0847598,
        0.0847315,
        0.0842389,
        0.0828244,
        0.0822276,
        0.0813677,
        0.080023,
        0.0786986,
        0.0783542,
        0.0778394,
        0.0790402,
        0.0783463,
        0.0776448,
        0.0776485,
        0.0765307,
        0.075282,
        0.0901582,
        0.0900016,
        0.0750389,
        0.0753907,
        0.0760478,
        0.077065,
        0.077114,
        0.0781468,
        0.0786489,
        0.0785385,
        0.07878,
        0.0816616,
        0.0834761,
        0.0843691,
        0.0868422,
        0.0908007,
        0.0934657,
        0.0961409,
        0.0943429,
        0.0921979,
        0.0888383,
        0.0860282,
        0.0846288,
        0.0821346,
        0.0822852,
        0.0823924,
        0.0804362,
        0.0797657,
        0.0795236,
        0.0778257,
        0.0782675,
        0.0848512,
        0.0809595,
        0.0784437,
        0.0800662,
        0.0795516,
        0.0794873,
        0.0798219,
        0.0796342,
        0.0793852,
        0.0803337,
        0.0791799,
        0.0789631,
        0.0776816,
        0.0769383,
        0.0775845,
        0.077412,
        0.0776275,
        0.077878,
        0.077347,
        0.076288,
        0.0773373,
        0.0771691,
        0.0776231,
        0.0775766,
        0.0772635,
        0.0781275,
        0.0784662,
        0.0787922,
        0.0778252,
        0.0761989,
        0.0755366,
        0.0747206,
        0.0754827,
        0.0752686,
        0.074487,
        0.0743096,
        0.0738535,
        0.0741787,
        0.0735005,
        0.0736208,
        0.0732741,
        0.0728444,
        0.0725479,
        0.0735584,
        0.0739423,
        0.0738845,
        0.0728219,
        0.0735329,
        0.0787688,
        0.077219,
        0.0761139,
        0.0814332,
        0.0840678,
        0.0782827,
        0.078344,
        0.0776276,
        0.0801039,
        0.080861,
        0.0815066,
        0.0798131,
        0.08638,
        0.0848378,
        0.0788939,
        0.0795637,
        0.0787686,
        0.0778864,
        0.0820402,
        0.0801142,
        0.0773392,
        0.08357,
        0.0805541,
        0.0781275,
        0.0797788,
        0.0801758,
        0.0810186,
        0.0805898,
        0.0792608,
        0.080323,
        0.0809117,
        0.0796053,
        0.0790539,
        0.0785181,
        0.0776924,
        0.0775901,
        0.080274,
        0.0783007,
        0.0780122,
        0.0797092,
        0.0811529,
        0.0803006,
        0.0819561,
        0.0823426,
        0.0806936,
        0.0786553,
        0.0791681,
        0.0787465,
        0.0784852,
        0.0774541,
        0.0767526,
        0.0777652,
        0.0763894,
        0.0757684,
        0.0752993,
        0.0763458,
        0.0774345,
        0.0831761,
        0.0835602,
        0.0763716,
        0.0780278,
        0.079414,
        0.0812969,
        0.0848332,
        0.0882884,
        0.097408,
        0.109868,
        0.132373,
        0.162159,
        0.191201,
        0.207001,
        0.205511,
        0.180492,
        0.147728,
        0.127031,
        0.121311,
        0.108999,
        0.0942758,
        0.0905257,
        0.0867627,
        0.084854,
        0.0842103,
        0.0847262,
        0.0820097,
        0.0810107,
        0.0807062,
        0.0815146,
        0.0804469,
        0.0803413,
        0.081004,
        0.0805182,
        0.0820143,
        0.0806304,
        0.0814346,
        0.0797464,
        0.0805539,
        0.0831354,
        0.083841,
        0.0839776,
        0.085564,
        0.0858382,
        0.08736,
        0.0918064,
        0.0905523,
        0.0906826,
        0.0882988,
        0.0866059,
        0.0838405,
        0.0832604,
        0.0817914,
        0.0804085,
        0.0821026,
        0.0790586,
        0.0799643,
        0.0794628,
        0.0803993,
        0.0814662,
        0.0803222,
        0.0806634,
        0.0797713,
        0.0793884,
        0.0804718,
        0.0808514,
        0.086811,
        0.0887577,
        0.0828054,
        0.0867176,
        0.0870448,
        0.0894393,
        0.111206,
        0.118693,
        0.109575,
        0.112125,
        0.111567,
        0.11494,
        0.109438,
        0.0982265,
        0.0929241,
        0.0899728,
        0.0886966,
        0.0879946,
        0.0868703,
        0.0855135,
        0.0844725,
        0.0841416,
        0.0832333,
        0.083771,
        0.0825295,
        0.0824094,
        0.0836592,
        0.0851149,
        0.0852724,
        0.0855403,
        0.08582,
        0.0876355,
        0.0892753,
        0.0923284,
        0.0991207,
        0.102431,
        0.103276,
        0.105053,
        0.105103,
        0.101887,
        0.098129,
        0.0945637,
        0.0920108,
        0.0898527,
        0.0915638,
        0.0909007,
        0.0908823,
        0.0951327,
        0.0942837,
        0.0883741,
        0.0918545,
        0.0922178,
        0.0876516,
        0.0886641,
        0.0887694,
        0.0888422,
        0.089025,
        0.09074,
        0.0928829,
        0.094343,
        0.0985997,
        0.103396,
        0.108228,
        0.111494,
        0.113989,
        0.11209,
        0.108738,
        0.0997648,
        0.0966882,
        0.0967606,
        0.0933598,
        0.0910628,
        0.0921711,
        0.0899143,
        0.0912015,
        0.0908168,
        0.0888029,
        0.0903226,
        0.0895819,
        0.0906847,
        0.0935869,
        0.0959727,
        0.0974293,
        0.100229,
        0.111515,
        0.115524,
        0.113868,
        0.122754,
        0.128237,
        0.138143,
        0.138965,
        0.137933,
        0.130187,
        0.112202,
        0.108477,
        0.10579,
        0.105358,
        0.104912,
        0.10413,
        0.10365,
        0.10681,
        0.10452,
        0.104419,
        0.105137,
        0.107161,
        0.108989,
        0.108894,
        0.114243,
        0.123072,
        0.130109,
        0.137087,
        0.147585,
        0.153663,
        0.158031,
        0.157018,
        0.146548,
        0.136104,
        0.12729,
        0.125692,
        0.120856,
        0.118734,
        0.116189,
        0.114454,
        0.113343,
        0.115155,
        0.114387,
        0.114367,
        0.1168,
        0.122267,
        0.129357,
        0.134492,
        0.144098,
        0.153792,
        0.165959,
        0.180386,
        0.229092,
        0.229273,
        0.19205,
        0.176246,
        0.160079,
        0.151624,
        0.151646,
        0.145292,
        0.14345,
        0.145389,
        0.143007,
        0.145552,
        0.146824,
        0.148675,
        0.153275,
        0.162207,
        0.172257,
        0.180049,
        0.20088,
        0.230446,
        0.262664,
        0.29295,
        0.279652,
        0.240583,
        0.22274,
        0.219145,
        0.223736,
        0.226737,
        0.226595,
        0.234427,
        0.238284,
        0.250928,
        0.259731,
        null,
        0.273329,
        0.270185,
        0.366233,
        0.306167,
        0.248797,
        0.220599,
        0.199779,
        0.181631,
        0.170152,
        0.160095,
        0.155633,
        0.153491,
        0.151116,
        0.149674,
        0.147675,
        0.147112,
        0.147271,
        0.152397,
        0.156675,
        0.175137,
        0.181272,
        0.176238,
        0.184333,
        0.195302,
        0.222971,
        0.276699,
        0.302267,
        0.372485,
        0.309022,
        0.261401,
        0.227384,
        0.203361,
        0.185356,
        0.17268,
        0.16108,
        0.148366,
        0.142298,
        0.134731,
        0.130801,
        0.126374,
        0.123531,
        0.118485,
        0.120308,
        0.127448,
        0.12349,
        0.111739,
        0.107918,
        0.106494,
        0.107109,
        0.105999,
        0.10368,
        0.10161,
        0.0991285,
        0.0995867,
        0.100817,
        0.099472,
        0.0975165,
        0.0949873,
        0.0948178,
        0.0948,
        0.0953984,
        0.0941132,
        0.0919815,
        0.0915621,
        0.0930034,
        0.0910651,
        0.0894459,
        0.0904784,
        0.090951,
        0.0915915,
        0.0906719,
        0.0884174,
        0.0889036,
        0.0880065,
        0.0876057,
        0.0874064,
        0.0880989,
        0.0881348,
        0.0865614,
        0.0860774,
        0.0863936,
        0.0879478,
        0.0888768,
        0.0871899,
        0.0854238,
        0.0851092,
        0.0870524,
        0.0872784,
        0.0868375,
        0.0855448,
        0.0849082,
        0.0856436,
        0.0891287,
        0.0881765,
        0.0894849,
        0.0882026,
        0.0849421,
        0.0866044,
        0.0859864,
        0.0846091,
        0.0855088,
        0.0869917,
        0.086207,
        0.0870735,
        0.0869657,
        0.0858273,
        0.0847987,
        0.0867129,
        0.0862567,
        0.0870987,
        0.0878459,
        0.0861666,
        0.0847613,
        0.0849001,
        0.0851028,
        0.0862289,
        0.086528,
        0.087778,
        0.101451,
        0.100238,
        0.085888,
        0.0871558,
        0.0857838,
        0.0854014,
        0.0840944,
        0.0858095,
        0.0871193,
        0.0849254,
        0.0983332,
        0.0988671,
        0.0839783,
        0.0828682,
        0.0837835,
        0.0840647,
        0.0840327,
        0.0836703,
        0.0907873,
        0.0924591,
        0.0883184,
        0.0843504,
        0.08266,
        0.0821853,
        0.0882976,
        0.0887906,
        0.0823475,
        0.0819811,
        0.0822366,
        0.0821408,
        0.0821863,
        0.0827576,
        0.0917614,
        0.0928444,
        0.0821315,
        0.0812656,
        0.0812551,
        0.0814616,
        0.0829211,
        0.0835362,
        0.0828202,
        0.0928267,
        0.0908736,
        0.083916,
        0.0849532,
        0.0859914,
        0.0867553,
        0.0869965,
        0.0861548,
        0.0857236,
        0.0874214,
        0.0876258,
        0.0879519,
        0.0881321,
        0.0903971,
        0.0943363,
        0.0938987,
        0.0953914,
        0.095052,
        0.095893,
        0.0964604,
        0.0977866,
        0.0958783,
        0.0921434,
        0.0915737,
        0.0907319,
        0.0937835,
        0.0933411,
        0.0886512,
        0.0904264,
        0.0916293,
        0.0910743,
        0.0881843,
        0.0881667,
        0.0915135,
        0.0923707,
        0.0938244,
        0.0914131,
        0.0903805,
        0.0918517,
        0.0950156,
        0.0966611,
        0.0979284,
        0.101147,
        0.102378,
        0.102024,
        0.102363,
        0.102301,
        0.101267,
        0.0984763,
        0.0964897,
        0.0939883,
        0.0914664,
        0.0901725,
        0.0905967,
        0.0884885,
        0.0885209,
        0.0968713,
        0.0934106,
        0.0862878,
        0.0851377,
        0.0846232,
        0.0853954,
        0.0859808,
        0.0871689,
        0.0866931,
        0.085553,
        0.0853115,
        0.0845863,
        0.0843261,
        0.0851028,
        0.0864702,
        0.0859301,
        0.0858639,
        0.0860272,
        0.0867476,
        0.0874477,
        0.0863543,
        0.0864189,
        0.0871216,
        0.0892951,
        0.0901801,
        0.0898989,
        0.0881248,
        0.0860982,
        0.0878026,
        0.088878,
        0.0880463,
        0.0875878,
        0.0880998,
        0.0885393,
        0.0884593,
        0.0878741,
        0.0881448,
        0.0896239,
        0.0935971,
        0.0925193,
        0.0892938,
        0.0892698,
        0.0905827,
        0.0902104,
        0.08867,
        0.087791,
        0.0893224,
        0.0873089,
        0.0848065,
        0.0862387,
        0.086769,
        0.0895764,
        0.0899644,
        0.0887692,
        0.089106,
        0.0886043,
        0.08766,
        0.0880869,
        0.0874161,
        0.0869485,
        0.0864868,
        0.0874551,
        0.0904744,
        0.0888934,
        0.0853608,
        0.0853212,
        0.0853982,
        0.0855092,
        0.0850762,
        0.0848415,
        0.0858508,
        0.0851231,
        0.0848865,
        0.0855928,
        0.0861227,
        0.0858275,
        0.085915,
        0.0856576,
        0.0906738,
        0.095323,
        0.0916216,
        0.0857967,
        0.0859689,
        0.0890005,
        0.0912226,
        0.0885691,
        0.0882805,
        0.0882974,
        0.0900736,
        0.0921711,
        0.087886,
        0.0883431,
        0.0888452,
        0.0896174,
        0.0953868,
        0.0998292,
        0.0901873,
        0.0903055,
        0.0896631,
        0.0904771,
        0.092015,
        0.0908759,
        0.105628,
        0.105736,
        0.0979497,
        0.0947088,
        0.0982155,
        0.0960179,
        0.0920808,
        0.0925271,
        0.0922582,
        0.0935889,
        0.0927678,
        0.0925098,
        0.0930386,
        0.0928316,
        0.0940706,
        0.0948815,
        0.0942332,
        0.0939854,
        0.107039,
        0.103603,
        0.0956497,
        0.0956145,
        0.0941729,
        0.0913651,
        0.0923806,
        0.0935435,
        0.0913695,
        0.0899692,
        0.0899282,
        0.0923961,
        0.0963291,
        0.0950734,
        0.0902457,
        0.0898129,
        0.0898261,
        0.089071,
        0.0900034,
        0.089703,
        0.101931,
        0.104632,
        0.0947746,
        0.0890232,
        0.0899443,
        0.089237,
        0.0911043,
        0.0944969,
        0.0912084,
        0.0934048,
        0.0934634,
        0.0918575,
        0.0926559,
        0.0933704,
        0.0952499,
        0.096103,
        0.0965665,
        0.0979948,
        0.100762,
        0.0998556,
        0.10325,
        0.105519,
        0.109472,
        0.113893,
        0.118768,
        0.12347,
        0.131816,
        0.138318,
        0.135743,
        0.12743,
        0.12136,
        0.116743,
        0.112062,
        0.10937,
        0.10695,
        0.101273,
        0.102533,
        0.104726,
        0.10512,
        0.102578,
        0.102254,
        0.10182,
        0.0997623,
        0.100205,
        0.102827,
        0.0991779,
        0.0983612,
        0.0964123,
        0.0976473,
        0.0976508,
        0.0988628,
        0.099679,
        0.0979834,
        0.0977113,
        0.099482,
        0.0985613,
        0.0971704,
        0.097112,
        0.100361,
        0.0994052,
        0.0971051,
        0.0972144,
        0.098001,
        0.0960112,
        0.0949186,
        0.0978823,
        0.0986534,
        0.0963888,
        0.0937377,
        0.0960124,
        0.0953238,
        0.0960816,
        0.096997,
        0.0977967,
        0.0980609,
        0.0952581,
        0.0955408,
        0.0976071,
        0.0975782,
        0.0972353,
        0.09726,
        0.0950256,
        0.0944898,
        0.0965742,
        0.097508,
        0.119155,
        0.119494,
        0.0984747,
        0.0990681,
        0.098551,
        0.0971896,
        0.0969897,
        0.0987433,
        0.0986407,
        0.100228,
        0.101138,
        0.101435,
        0.100592,
        0.101319,
        0.103289,
        0.102735,
        0.103567,
        0.102927,
        0.103522,
        0.100138,
        0.101926,
        0.102716,
        0.118206,
        0.121169,
        0.102793,
        0.121716,
        0.121038,
        0.103423,
        0.103415,
        0.10361,
        0.102754,
        0.102653,
        0.104278,
        0.104211,
        0.106279,
        0.103501,
        0.102998,
        0.104513,
        0.104101,
        0.103737,
        0.102665,
        0.103047,
        0.104516,
        0.104398,
        0.10454,
        0.10267,
        0.102035,
        0.103408,
        0.101893,
        0.109101,
        0.108917,
        0.103511,
        0.102064,
        0.10095,
        0.100533,
        0.0999043,
        0.10064,
        0.102236,
        0.103892,
        0.104628,
        0.10323,
        0.102493,
        0.103132,
        0.101487,
        0.102185,
        0.101273,
        0.101402,
        0.10208,
        0.102564,
        0.102042,
        0.104808,
        0.105722,
        0.104634,
        0.106159,
        0.106013,
        0.104014,
        0.105512,
        0.10753,
        0.107831,
        0.106756,
        0.106739,
        0.105324,
        0.104501,
        0.105433,
        0.10849,
        0.108704,
        0.107359,
        0.109816,
        0.109849,
        0.109195,
        0.110073,
        0.112165,
        0.114792,
        0.114757,
        0.109762,
        0.112172,
        0.11155,
        0.11278,
        0.113813,
        0.111986,
        0.111995,
        0.115189,
        0.111131,
        0.113139,
        0.115508,
        0.118984,
        0.116863,
        0.114919,
        0.115447,
        0.11356,
        0.114574,
        0.112165,
        0.121266,
        0.122424,
        0.11766,
        0.120744,
        0.117406,
        0.115999,
        0.11801,
        0.117626,
        0.117217,
        0.118932,
        0.120285,
        0.123141,
        0.124356,
        0.124163,
        0.129089,
        0.131164,
        0.13111,
        0.130957,
        0.137154,
        0.142336,
        0.147839,
        0.157307,
        0.165281,
        0.174782,
        0.184373,
        0.203827,
        0.233905,
        0.273004,
        0.338805,
        0.289946,
        0.247931,
        0.211323,
        0.193824,
        0.186866,
        0.179668,
        0.164054,
        0.160745,
        0.153228,
        0.149722,
        0.148959,
        0.146242,
        0.14538,
        0.146353,
        0.140827,
        0.137441,
        0.13604,
        0.138625,
        0.138938,
        0.137192,
        0.135175,
        0.135599,
        0.136988,
        0.134686,
        0.131646,
        0.134552,
        0.132329,
        0.131075,
        0.131242,
        0.131989,
        0.133352,
        0.131772,
        0.129888,
        0.131904,
        0.132639,
        0.13049,
        0.13502,
        0.134067,
        0.131548,
        0.132986,
        0.132829,
        0.128624,
        0.129225,
        0.130684,
        0.14236,
        0.151087,
        0.134745,
        0.130563,
        0.157867,
        0.15446,
        0.12776,
        0.125056,
        0.12664,
        0.126671,
        0.128657,
        0.127601,
        0.125174,
        0.126955,
        0.125464,
        0.126643,
        0.12546,
        0.127381,
        0.128267,
        0.129847,
        0.127349,
        0.127349,
        0.130791,
        0.130013,
        0.131818,
        0.134145,
        0.132017,
        0.130696,
        0.130045,
        0.131403,
        0.133039,
        0.135027,
        0.133735,
        0.137435,
        0.13612,
        0.132568,
        0.13558,
        0.137783,
        0.139527,
        0.140429,
        0.143666,
        0.137858,
        0.141583,
        0.15998,
        0.147023,
        0.135973,
        0.138657,
        0.141303,
        0.142826,
        0.140365,
        0.143148,
        0.157669,
        0.157087,
        0.143258,
        0.142116,
        0.140022,
        0.142727,
        0.161164,
        0.161483,
        0.144181,
        0.142182,
        0.139206,
        0.143467,
        0.145988,
        0.1429,
        0.142962,
        0.145425,
        0.145257,
        0.146936,
        0.149948,
        0.148441,
        0.145796,
        0.14582,
        0.145187,
        0.148429,
        0.155656,
        0.15611,
        0.154643,
        0.155286,
        0.156461,
        0.157957,
        0.160722,
        0.164754,
        0.169491,
        0.174369,
        0.171856,
        0.17811,
        0.191707,
        null,
        0.516808,
        0.481452,
        0.480735,
        0.452226,
        0.521496,
        0.496394,
        0.468671,
        0.4012,
        0.394475,
        0.383469,
        0.375092,
        0.544617,
        0.440709,
        0.386719,
        0.364305,
        0.35289,
        0.347592,
        0.335506,
        0.329011,
        0.327003,
        0.319293,
        0.313728,
        0.329876,
        0.320954,
        0.315794,
        0.316522,
        0.309724,
        0.307506,
        0.305949,
        0.307544,
        0.29994,
        0.310102,
        0.312435,
        0.308677,
        0.294757,
        0.301897,
        0.300832,
        0.308498,
        0.313624,
        0.321419,
        0.300306,
        0.301959,
        0.299478,
        0.294566,
        0.288517,
        0.299209,
        0.330568,
        0.331533,
        0.311418,
        0.311537,
        0.309926,
        0.3219,
        0.323146,
        0.307305,
        0.304245,
        0.300375,
        0.314927,
        0.305907,
        0.311556,
        0.318857,
        0.330952,
        0.316215,
        0.31042,
        0.316068,
        0.310382,
        0.316966,
        0.313112,
        0.317754,
        0.322697,
        0.355447,
        0.417925,
        0.419777,
        0.382543,
        0.320271,
        0.33435,
        0.344238,
        0.355583,
        0.339188,
        0.300639,
        0.295305,
        0.32963,
        0.314083,
        0.28032,
        0.287215,
        0.292871,
        0.287112,
        0.287242,
        0.285514,
        0.280486,
        0.284517,
        0.282312,
        0.283435,
        0.283634,
        0.287143,
        0.29523,
        0.287874,
        0.275357,
        0.268717,
        0.279947,
        0.280346,
        0.282947,
        0.284366,
        0.289028,
        0.283741,
        0.285017,
        0.287058,
        0.285091,
        0.277459,
        0.276394,
        0.279308,
        0.299272,
        0.307436,
        0.290875,
        0.29612,
        0.307962,
        0.33463,
        0.337858,
        0.35058,
        0.353945,
        0.376114,
        0.390607,
        0.482181,
        0.356939,
        0.352649,
        0.336802,
        0.327427,
        0.318345,
        0.299998,
        0.296904,
        0.300813,
        0.284066,
        0.27358,
        0.276283,
        0.270458,
        0.275852,
        0.27199,
        0.261012,
        0.253275,
        0.258139,
        0.263624,
        0.252506,
        0.243675,
        0.241602,
        0.251413,
        0.246519,
        0.239518,
        0.240156,
        0.238062,
        0.231925,
        0.232816,
        0.230662,
        0.230582,
        0.23333,
        0.2314,
        0.23225,
        0.233753,
        0.233981,
        0.227278,
        0.224332,
        0.225063,
        0.224778,
        0.221512,
        0.220605,
        0.237278,
        0.240733,
        0.226732,
        0.229555,
        0.229021,
        0.226804,
        0.223954,
        0.218896,
        0.224789,
        0.270271,
        0.269454,
        0.227314,
        0.22613,
        0.231384,
        0.235097,
        0.22641,
        0.224429,
        0.225169,
        0.24143,
        0.236013,
        0.22272,
        0.227328,
        0.231016,
        0.234405,
        0.24006,
        0.239398,
        0.235522,
        0.23639,
        0.234918,
        0.235066,
        0.232169,
        0.232961,
        0.230221,
        0.236665,
        0.238699,
        0.229881,
        0.218921,
        0.22482,
        0.228341,
        0.222878,
        0.220891,
        0.222587,
        0.221509,
        0.224802,
        0.233896,
        0.231864,
        0.227449,
        0.232203,
        0.231159,
        0.229131,
        0.231956,
        0.241739,
        0.234392,
        0.235682,
        0.228334,
        0.221505,
        0.226194,
        0.230024,
        0.236367,
        0.255163,
        0.244059,
        0.228185,
        0.226159,
        0.22703,
        0.230303,
        0.235087,
        0.228576,
        0.232505,
        0.236157,
        0.233465,
        0.227033,
        0.232597,
        0.231136,
        0.233426,
        0.252415,
        0.256141,
        0.235022,
        0.237856,
        0.24767,
        0.24295,
        0.233117,
        0.236467,
        0.241384,
        0.24095,
        0.240555,
        0.243763,
        0.248846,
        0.291205,
        0.285264,
        0.25058,
        0.259919,
        0.268017,
        0.257933,
        0.252489,
        0.247797,
        0.25135,
        0.255912,
        0.259976,
        0.304795,
        0.299868,
        0.253852,
        0.259162,
        0.26462,
        0.272998,
        0.280453,
        0.282515,
        0.291204,
        0.294853,
        0.300211,
        0.343153,
        0.346173,
        0.326046,
        0.333624,
        0.349218,
        0.380545,
        0.349309,
        0.336302,
        0.326223,
        0.31179,
        0.310846,
        0.294728,
        0.304151,
        0.289406,
        0.286654,
        0.294644,
        0.283718,
        0.270773,
        0.280152,
        0.284278,
        0.282469,
        0.296621,
        0.300018,
        0.286294,
        0.286819,
        0.285358,
        0.281955,
        0.284329,
        0.285443,
        0.285646,
        0.279952,
        0.274344,
        0.281199,
        0.281102,
        0.276288,
        0.271846,
        0.283168,
        0.296981,
        0.296595,
        0.277523,
        0.27567,
        0.279422,
        0.291888,
        0.298418,
        0.329079,
        0.340581,
        0.297439,
        0.286029,
        0.301178,
        0.311582,
        0.29768,
        0.296793,
        0.293986,
        0.297549,
        0.303166,
        0.305285,
        0.304038,
        0.307122,
        0.313542,
        0.333886,
        0.344544,
        0.338115,
        0.322676,
        0.316102,
        0.321822,
        0.335169,
        0.348556,
        0.352943,
        0.371065,
        0.411848,
        0.41942,
        0.415265,
        0.418775,
        0.389615,
        0.390418,
        0.381091,
        0.401727,
        0.4059,
        0.395688,
        0.385495,
        0.375818,
        0.372098,
        0.382167,
        0.38106,
        0.378782,
        0.402593,
        0.42747,
        0.401853,
        0.416202,
        0.422557,
        0.40689,
        0.41857,
        0.396649,
        0.421472,
        0.424093,
        0.407306,
        0.435936,
        0.435601,
        0.442077,
        0.423851,
        0.503176
    ]
}