GET /api/ishell_4517nm_5232nm_iras_16233minus2421/?format=api
HTTP 200 OK
Allow: GET, HEAD, OPTIONS
Content-Type: application/json
Vary: Accept

{
    "wavelength_um": [
        4.517364219134591,
        4.517464363589109,
        4.517524450261821,
        4.517544479152725,
        4.517564508043628,
        4.517584536934532,
        4.517604565825435,
        4.517624594716339,
        4.517644623607243,
        4.517664652498146,
        4.518085259207124,
        4.519123423385633,
        4.519143452276536,
        4.51916348116744,
        4.5191830331799885,
        4.5192030620708925,
        4.5192230909617965,
        4.5192431198527,
        4.519262671865249,
        4.519282700756152,
        4.519302729647056,
        4.51932275853796,
        4.519342787428863,
        4.519362339441413,
        4.51940239722322,
        4.519660865291549,
        4.519680894182453,
        4.519720475085905,
        4.519740503976808,
        4.519760055989358,
        4.519780084880261,
        4.519800113771165,
        4.521108191098518,
        4.5213056187374265,
        4.52132564762833,
        4.521345199640879,
        4.52140433255688,
        4.521424361447784,
        4.521443913460333,
        4.521463465472881,
        4.521483494363785,
        4.521503046376334,
        4.521523075267238,
        4.5215426272797865,
        4.521562179292336,
        4.521582208183239,
        4.5216017601957885,
        4.521621789086692,
        4.521641341099241,
        4.52166089311179,
        4.521680922002694,
        4.521700474015242,
        4.521720026027791,
        4.521740054918695,
        4.521759606931243,
        4.521779158943793,
        4.521799187834696,
        4.521818739847245,
        4.521838291859794,
        4.521858320750698,
        4.522959432872046,
        4.522978984884595,
        4.5230381178005965,
        4.523057669813145,
        4.523096773838243,
        4.523116325850792,
        4.523135877863341,
        4.52315542987589,
        4.523175458766794,
        4.523195010779342,
        4.523214562791891,
        4.52323411480444,
        4.523253666816989,
        4.523273218829537,
        4.523292770842087,
        4.523312322854635,
        4.523331874867184,
        4.523351426879733,
        4.523371455770636,
        4.523391007783186,
        4.523410559795734,
        4.523430111808283,
        4.523449663820832,
        4.523469215833381,
        4.5234887678459295,
        4.523508319858479,
        4.5235278718710275,
        4.523547423883576,
        4.523566975896125,
        4.523586527908674,
        4.5236451839463205,
        4.523664735958869,
        4.523703839983967,
        4.523802076925066,
        4.524875053223479,
        4.524894605236027,
        4.524914157248577,
        4.524933709261125,
        4.524952784395319,
        4.524972336407868,
        4.524991888420417,
        4.525011440432966,
        4.525030992445514,
        4.525050067579709,
        4.525069619592258,
        4.525089171604806,
        4.525128275629904,
        4.525147350764098,
        4.525166902776647,
        4.525186454789196,
        4.525206006801745,
        4.525225558814293,
        4.525244633948487,
        4.525264185961037,
        4.525283737973585,
        4.525303289986134,
        4.525322365120328,
        4.525341917132877,
        4.525361469145426,
        4.525381021157974,
        4.525400096292168,
        4.525419648304718,
        4.525439200317266,
        4.525458752329815,
        4.525477827464009,
        4.525497379476558,
        4.525516931489107,
        4.525536483501655,
        4.525555558635849,
        4.525575110648399,
        4.525594662660947,
        4.525613737795141,
        4.525633289807691,
        4.525652841820239,
        4.525671916954433,
        4.525691468966982,
        4.525711020979531,
        4.52573057299208,
        4.525749648126274,
        4.525769200138822,
        4.525788752151372,
        4.526756815211717,
        4.5268340695052025,
        4.5268531446393965,
        4.526872696651946,
        4.52689177178614,
        4.526911323798688,
        4.526930398932882,
        4.526949950945431,
        4.526969026079625,
        4.526988101213819,
        4.527007653226368,
        4.527026728360562,
        4.527046280373111,
        4.527065355507305,
        4.527084907519853,
        4.527103982654048,
        4.527123534666597,
        4.527142609800791,
        4.527162161813339,
        4.527181236947533,
        4.527200788960083,
        4.527219864094277,
        4.527238939228471,
        4.527258491241019,
        4.527277566375213,
        4.527297118387762,
        4.527316193521956,
        4.527335745534505,
        4.527354820668699,
        4.527373895802893,
        4.527393447815442,
        4.527412522949636,
        4.527432074962185,
        4.527451150096379,
        4.527470225230573,
        4.5274897772431215,
        4.5275088523773155,
        4.527547479524058,
        4.527586106670801,
        4.527605181804995,
        4.527662884085932,
        4.527701511232675,
        4.528757796788668,
        4.528776871922862,
        4.5288150221912495,
        4.528834574203799,
        4.528853649337993,
        4.528872724472187,
        4.528891799606381,
        4.528910874740575,
        4.528929949874769,
        4.528949501887317,
        4.528968577021511,
        4.528987652155705,
        4.529006727289899,
        4.529025802424093,
        4.529044877558287,
        4.529063952692481,
        4.529083504705031,
        4.529102579839225,
        4.529121654973419,
        4.5291407301076125,
        4.5291598052418065,
        4.5291788803760005,
        4.529197955510194,
        4.529217030644388,
        4.529236105778582,
        4.529255657791131,
        4.529274732925325,
        4.529293808059519,
        4.529312883193713,
        4.529331958327907,
        4.529351033462101,
        4.529370108596295,
        4.529389183730489,
        4.529408258864684,
        4.5294273339988775,
        4.5294464091330715,
        4.5294654842672655,
        4.529484559401459,
        4.529504111414008,
        4.529523186548202,
        4.52965671248756,
        4.530571365172162,
        4.530647188830583,
        4.530666263964777,
        4.530685339098971,
        4.530704414233165,
        4.530723489367359,
        4.5307420876231985,
        4.5307611627573925,
        4.5307802378915865,
        4.53079931302578,
        4.530818388159974,
        4.530837463294168,
        4.530856538428362,
        4.530875136684202,
        4.530894211818396,
        4.53091328695259,
        4.530932362086784,
        4.530951437220978,
        4.530970035476817,
        4.530989110611011,
        4.531008185745205,
        4.531027260879399,
        4.531046336013593,
        4.531064934269432,
        4.531084009403626,
        4.53110308453782,
        4.531122159672014,
        4.531141234806208,
        4.5311598330620475,
        4.5311789081962415,
        4.531197983330435,
        4.531217058464629,
        4.531235656720469,
        4.531292882123051,
        4.531311957257245,
        4.531330555513083,
        4.531349630647278,
        4.531368705781472,
        4.53150127796412,
        4.531520353098314,
        4.531577101622541,
        4.53159569987838,
        4.531614775012574,
        4.531633850146768,
        4.531671523536802,
        4.532634817813598,
        4.532653892947793,
        4.532672491203631,
        4.532691566337825,
        4.532842259897958,
        4.532860858153797,
        4.532879933287991,
        4.532898531543831,
        4.532917606678025,
        4.532936204933864,
        4.532955280068058,
        4.532973878323896,
        4.53299295345809,
        4.53301155171393,
        4.533030626848124,
        4.533049225103963,
        4.533068300238157,
        4.5330868984939965,
        4.5331059736281905,
        4.53312457188403,
        4.533143170139868,
        4.533293863700001,
        4.53331246195584,
        4.533331537090034,
        4.533350135345874,
        4.533369210480068,
        4.533387808735907,
        4.5334064069917455,
        4.533425482125939,
        4.533444080381779,
        4.533463155515973,
        4.533481753771812,
        4.533500352027652,
        4.5335194271618455,
        4.533538025417684,
        4.533556623673523,
        4.533594297063557,
        4.533669643843623,
        4.533744513745335,
        4.534587157798354,
        4.5346057560541935,
        4.534624831188387,
        4.534662027700066,
        4.534680625955905,
        4.534699224211744,
        4.5347178224675835,
        4.5347368976017775,
        4.534755495857617,
        4.534774094113455,
        4.534792692369295,
        4.534811290625134,
        4.5348298888809735,
        4.5348489640151675,
        4.534867562271006,
        4.53522188288866,
        4.535240481144499,
        4.535259079400338,
        4.535277677656177,
        4.535296275912017,
        4.535314874167856,
        4.53533394930205,
        4.535352547557888,
        4.535371145813728,
        4.535389744069567,
        4.535408342325407,
        4.535426940581245,
        4.5354455388370845,
        4.535464137092924,
        4.535482735348762,
        4.535501333604602,
        4.535519931860441,
        4.5355385301162805,
        4.535557128372119,
        4.535575726627958,
        4.535594324883798,
        4.535631521395476,
        4.535650119651315,
        4.535668717907154,
        4.5365232839190455,
        4.5365972000640475,
        4.536634396575725,
        4.536652994831565,
        4.536671116209049,
        4.536689714464888,
        4.5368933415224095,
        4.536911939778248,
        4.536949136289927,
        4.536967257667411,
        4.53698585592325,
        4.5370044541790895,
        4.537023052434928,
        4.537041650690767,
        4.537059772068252,
        4.537078370324091,
        4.53709696857993,
        4.537115566835769,
        4.537133688213253,
        4.537152286469093,
        4.537170884724932,
        4.537189482980771,
        4.537207604358255,
        4.537226202614095,
        4.537244800869933,
        4.537263399125773,
        4.5372815205032575,
        4.537300118759096,
        4.537318717014935,
        4.537337315270775,
        4.537355436648259,
        4.537374034904098,
        4.5373926331599375,
        4.537411231415776,
        4.537429352793261,
        4.5374479510491,
        4.537466549304939,
        4.5374846706824234,
        4.537503268938262,
        4.537521867194101,
        4.537539988571586,
        4.537558586827425,
        4.537577185083264,
        4.537595783339103,
        4.537613904716587,
        4.537632502972427,
        4.537651101228266,
        4.53766922260575,
        4.537687820861589,
        4.537743138750752,
        4.5377617370065915,
        4.538516158563964,
        4.538681158474742,
        4.5387178781080655,
        4.538736476363905,
        4.538754597741389,
        4.538773195997228,
        4.538791317374712,
        4.5388099156305515,
        4.538828037008035,
        4.538846635263875,
        4.53886475664136,
        4.538883354897198,
        4.538901476274683,
        4.538920074530521,
        4.538938195908006,
        4.538956794163846,
        4.5389749155413295,
        4.538993036918813,
        4.539011635174653,
        4.539029756552138,
        4.539048354807976,
        4.539066476185461,
        4.5390850744413,
        4.539103195818784,
        4.539121317196268,
        4.5391399154521075,
        4.539158036829592,
        4.539176635085431,
        4.539194756462916,
        4.539213354718755,
        4.539231476096239,
        4.539249597473723,
        4.539304438484531,
        4.539395999128662,
        4.539414597384501,
        4.539432718761986,
        4.539451317017825,
        4.539469438395309,
        4.539487559772794,
        4.539506158028632,
        4.539524279406117,
        4.539542400783601,
        4.53956099903944,
        4.539579120416924,
        4.539597241794409,
        4.5396158400502475,
        4.539633961427732,
        4.539652082805216,
        4.539670681061056,
        4.5396888024385404,
        4.539706923816024,
        4.539725522071864,
        4.539743643449348,
        4.5397617648268325,
        4.540637313486337,
        4.540655434863821,
        4.540691677618789,
        4.540709798996274,
        4.540727920373758,
        4.540746518629597,
        4.540764640007081,
        4.540782761384566,
        4.54080088276205,
        4.540819004139535,
        4.540837125517019,
        4.540855246894504,
        4.5408733682719875,
        4.540891966527827,
        4.540910087905311,
        4.540928209282796,
        4.5409463306602795,
        4.540964452037763,
        4.540982573415248,
        4.541000694792732,
        4.541018816170217,
        4.541036937547701,
        4.541055058925186,
        4.541073657181024,
        4.541091778558509,
        4.541109899935993,
        4.541128021313478,
        4.541146142690962,
        4.541164264068446,
        4.54118238544593,
        4.541200506823414,
        4.541218628200899,
        4.541236749578383,
        4.541254870955868,
        4.541272992333352,
        4.5412911137108365,
        4.54130923508832,
        4.541327356465804,
        4.541345477843289,
        4.5413640760991285,
        4.541382197476612,
        4.541400318854096,
        4.541418440231581,
        4.541436561609065,
        4.54145468298655,
        4.541472804364034,
        4.541490925741519,
        4.5415090471190025,
        4.541527168496487,
        4.541545289873971,
        4.541563411251455,
        4.54158153262894,
        4.541599654006424,
        4.541617775383909,
        4.541635896761393,
        4.541654018138877,
        4.541672139516361,
        4.541690260893845,
        4.54170838227133,
        4.541726503648814,
        4.541744625026299,
        4.541762746403783,
        4.541780867781267,
        4.541798512280397,
        4.541816633657881,
        4.541907240545302,
        4.542647832630385,
        4.542665954007869,
        4.542702196762837,
        4.542719841261967,
        4.5427379626394515,
        4.542756084016935,
        4.5428099712710335,
        4.542828092648517,
        4.542846214026002,
        4.542864335403486,
        4.542881979902615,
        4.5429001012801,
        4.542918222657584,
        4.542936344035069,
        4.542953988534198,
        4.542972109911682,
        4.542990231289167,
        4.543008352666651,
        4.54302599716578,
        4.543044118543265,
        4.543062239920749,
        4.543080361298234,
        4.543098005797363,
        4.543116127174847,
        4.543134248552332,
        4.543152369929816,
        4.543170014428945,
        4.54318813580643,
        4.543206257183914,
        4.543224378561398,
        4.543242023060528,
        4.543260144438012,
        4.543278265815496,
        4.543295910314626,
        4.54331403169211,
        4.543332153069594,
        4.543349797568724,
        4.543367918946208,
        4.543386040323692,
        4.543403684822822,
        4.543421806200306,
        4.54343992757779,
        4.543458048955275,
        4.543475693454404,
        4.543493814831888,
        4.543511936209373,
        4.543529580708502,
        4.543547702085986,
        4.543565346585116,
        4.5435834679626,
        4.543601589340084,
        4.543619233839214,
        4.543637355216698,
        4.543655476594182,
        4.543673121093312,
        4.543691242470796,
        4.54370936384828,
        4.54372700834741,
        4.543745129724894,
        4.543762774224024,
        4.543780895601508,
        4.543799016978992,
        4.543816661478122,
        4.54385290423309,
        4.54387054873222,
        4.543906314608834,
        4.544640230396948,
        4.544675996273561,
        4.5446936407726914,
        4.544711762150175,
        4.5447475280267895,
        4.544765172525919,
        4.544783293903403,
        4.544800938402532,
        4.544819059780017,
        4.544836704279146,
        4.5448543487782755,
        4.5448724701557595,
        4.54489011465489,
        4.544908236032374,
        4.544925880531503,
        4.544944001908988,
        4.544961646408117,
        4.544979290907246,
        4.54499741228473,
        4.54501505678386,
        4.5450331781613444,
        4.545050822660474,
        4.545068467159603,
        4.545086588537088,
        4.545104233036217,
        4.545121877535347,
        4.5451399989128305,
        4.54515764341196,
        4.545175764789445,
        4.545193409288574,
        4.545211053787703,
        4.545264464163447,
        4.545282585540931,
        4.54530023004006,
        4.545317874539189,
        4.545335995916674,
        4.5453536404158035,
        4.545371761793287,
        4.545389406292418,
        4.545407050791547,
        4.545425172169031,
        4.54544281666816,
        4.5454604611672895,
        4.54547810566642,
        4.545496227043904,
        4.545513871543033,
        4.545531516042162,
        4.545549637419647,
        4.5455672819187765,
        4.545584926417906,
        4.54560304779539,
        4.54562069229452,
        4.545638336793649,
        4.545656458171133,
        4.5456741026702625,
        4.545691747169392,
        4.545709391668521,
        4.545727513046006,
        4.545745157545135,
        4.545762802044265,
        4.545780446543394,
        4.545798567920879,
        4.545816212420008,
        4.545851501418267,
        4.545869622795752,
        4.546720373780803,
        4.546755662779063,
        4.546773307278192,
        4.546826717653936,
        4.546844362153065,
        4.546862006652194,
        4.546879651151324,
        4.546897295650453,
        4.546914940149582,
        4.546932584648712,
        4.546950229147841,
        4.546967873646971,
        4.5469855181461005,
        4.54700316264523,
        4.547020807144359,
        4.547038928521843,
        4.547056573020973,
        4.547074217520103,
        4.547091862019232,
        4.547109506518361,
        4.547127151017491,
        4.54714479551662,
        4.547162440015749,
        4.547180084514879,
        4.547197729014009,
        4.547215373513138,
        4.5472330180122675,
        4.547250662511397,
        4.547268307010526,
        4.5472859515096555,
        4.547303596008785,
        4.547321240507915,
        4.547338885007044,
        4.547356529506174,
        4.547374174005303,
        4.547391818504432,
        4.547409463003562,
        4.547427107502691,
        4.54744475200182,
        4.547462396500951,
        4.54748004100008,
        4.547497685499209,
        4.547515329998339,
        4.547532974497468,
        4.547550618996597,
        4.547568263495727,
        4.547585431116501,
        4.547603075615631,
        4.547620720114761,
        4.54763836461389,
        4.54765600911302,
        4.547673653612149,
        4.547691298111278,
        4.547726587109537,
        4.548850589391919,
        4.548868233891048,
        4.548885401511823,
        4.5489030460109525,
        4.548920690510082,
        4.548937858130857,
        4.548955502629986,
        4.548973147129115,
        4.548990791628245,
        4.549007959249019,
        4.549025603748149,
        4.549043248247278,
        4.549060415868053,
        4.549078060367182,
        4.549095704866311,
        4.549112872487086,
        4.5491305169862155,
        4.549148161485345,
        4.54916532910612,
        4.549182973605249,
        4.549200618104378,
        4.549217785725153,
        4.549235430224282,
        4.549253074723413,
        4.549270242344186,
        4.549287886843317,
        4.549305531342446,
        4.54932269896322,
        4.54934034346235,
        4.549357987961479,
        4.549375155582254,
        4.5493928000813835,
        4.549409967702158,
        4.5494276122012876,
        4.549445256700417,
        4.549462424321192,
        4.549480068820321,
        4.54949771331945,
        4.549514880940225,
        4.549532525439354,
        4.549549693060129,
        4.5495673375592585,
        4.549584982058388,
        4.5496021496791625,
        4.549619794178292,
        4.549636961799067,
        4.549654606298196,
        4.549672250797325,
        4.549863955895975,
        4.549968392255687,
        4.549985559876462,
        4.550003204375591,
        4.550020848874721,
        4.550038016495495,
        4.550055660994625,
        4.550090473114529,
        4.550107640735304,
        4.550125285234433,
        4.550142452855208,
        4.550160097354337,
        4.550177264975112,
        4.550194909474241,
        4.550212077095016,
        4.55024688921492,
        4.550316513454728,
        4.5509760362194855,
        4.550993680718615,
        4.55101084833939,
        4.551045660459294,
        4.551062828080068,
        4.551097640199972,
        4.551114807820746,
        4.551131975441521,
        4.5511496199406505,
        4.551166787561425,
        4.5511839551822,
        4.551201599681329,
        4.551218767302104,
        4.551235934922879,
        4.551253579422008,
        4.551270747042783,
        4.551287914663558,
        4.551305559162687,
        4.551322726783461,
        4.551339894404236,
        4.55135706202501,
        4.55137470652414,
        4.551391874144914,
        4.551409041765689,
        4.5514266862648185,
        4.551443853885593,
        4.551461021506368,
        4.551478189127143,
        4.551495833626272,
        4.551513001247047,
        4.551530168867821,
        4.551547336488595,
        4.551564980987725,
        4.5515821486084995,
        4.551599316229274,
        4.551616483850049,
        4.551789590692859,
        4.551841093555184,
        4.5518582611759575,
        4.551893073295862,
        4.551910240916636,
        4.551927408537411,
        4.551944576158186,
        4.551961743778961,
        4.55197938827809,
        4.551996555898865,
        4.552013723519639,
        4.552030891140413,
        4.552048058761188,
        4.552065226381963,
        4.552082870881092,
        4.552100038501867,
        4.552117206122642,
        4.552134373743416,
        4.55215154136419,
        4.552168708984965,
        4.55218587660574,
        4.552203521104869,
        4.552220688725644,
        4.5522378563464185,
        4.552255023967193,
        4.552272191587968,
        4.552289359208742,
        4.552306526829517,
        4.552323694450291,
        4.552341338949421,
        4.55237567419097,
        4.553148694004182,
        4.553200196866506,
        4.55321736448728,
        4.553234532108055,
        4.55325169972883,
        4.553268867349604,
        4.5532860349703785,
        4.553303202591153,
        4.553320370211928,
        4.553337537832703,
        4.5533547054534775,
        4.553371396195897,
        4.553388563816672,
        4.553405731437446,
        4.553422899058221,
        4.553440066678996,
        4.55345723429977,
        4.553474401920544,
        4.553491569541319,
        4.553833491321747,
        4.553850658942522,
        4.5538678265632955,
        4.55388499418407,
        4.553902161804845,
        4.553918852547265,
        4.553936020168039,
        4.553953187788814,
        4.5539703554095885,
        4.553987523030363,
        4.554004690651138,
        4.554021381393557,
        4.554038549014332,
        4.554055716635107,
        4.5540728842558815,
        4.554090051876656,
        4.5541067426190756,
        4.55412391023985,
        4.554141077860625,
        4.5541582454814,
        4.554174936223819,
        4.554192103844594,
        4.554209271465369,
        4.554243606706918,
        4.554260297449337,
        4.554277465070112,
        4.554294632690887,
        4.554311800311662,
        4.554328491054081,
        4.554345658674856,
        4.55436282629563,
        4.554379993916405,
        4.554396684658824,
        4.554413852279599,
        4.554431019900374,
        4.554448187521149,
        4.556115354249704,
        4.55778252097826,
        4.557802549869163,
        4.557823055638422,
        4.557843084529326,
        4.5578635902985845,
        4.557883619189488,
        4.557903648080392,
        4.55792415384965,
        4.557944182740554,
        4.557964211631457,
        4.557984717400716,
        4.55800474629162,
        4.558024775182523,
        4.558045280951782,
        4.558065309842686,
        4.55808533873359,
        4.558105844502848,
        4.5581258733937515,
        4.5581459022846555,
        4.558166408053914,
        4.558186436944817,
        4.558206465835721,
        4.55822697160498,
        4.558247000495884,
        4.558267029386787,
        4.558287058277691,
        4.55830756404695,
        4.558327592937854,
        4.558347621828757,
        4.5583681275980155,
        4.5583881564889195,
        4.558408185379823,
        4.558428214270727,
        4.558448720039985,
        4.558468748930889,
        4.558488777821792,
        4.558508806712696,
        4.558529312481955,
        4.558549341372858,
        4.558569370263762,
        4.558589399154666,
        4.558609904923925,
        4.558629933814828,
        4.558649962705732,
        4.558669991596636,
        4.558690497365895,
        4.558710526256798,
        4.558730555147702,
        4.558750584038605,
        4.558770612929509,
        4.5587911186987675,
        4.5588111475896715,
        4.558831176480575,
        4.558851205371479,
        4.558871234262383,
        4.558891740031641,
        4.5589117689225445,
        4.5589317978134485,
        4.558951826704352,
        4.558971855595256,
        4.558992361364514,
        4.559012390255418,
        4.559795424514082,
        4.559815453404985,
        4.559835482295889,
        4.559855511186793,
        4.559875540077696,
        4.5598955689686,
        4.559915597859504,
        4.559935626750407,
        4.5599556556413114,
        4.559975684532215,
        4.559995713423119,
        4.560015742314023,
        4.560035771204926,
        4.56005580009583,
        4.560075828986734,
        4.560095857877637,
        4.560115886768541,
        4.560135915659445,
        4.560155944550348,
        4.560175973441252,
        4.560196002332155,
        4.560216031223059,
        4.560236060113963,
        4.5602560890048665,
        4.5602761178957705,
        4.5602961467866745,
        4.560316175677578,
        4.560336204568482,
        4.560356233459386,
        4.560376262350289,
        4.560396291241193,
        4.560415843253741,
        4.560435872144645,
        4.5604559010355485,
        4.560475929926453,
        4.560495958817357,
        4.56051598770826,
        4.560536016599164,
        4.560556045490068,
        4.560576074380971,
        4.560596103271875,
        4.560616132162779,
        4.560636161053682,
        4.5606557130662315,
        4.560675741957135,
        4.560695770848039,
        4.560715799738942,
        4.560735828629846,
        4.56075585752075,
        4.560775886411653,
        4.560795915302557,
        4.560815467315106,
        4.56083549620601,
        4.560855525096914,
        4.560875553987817,
        4.560895582878721,
        4.560915611769625,
        4.560935640660528,
        4.560955192673077,
        4.5609752215639805,
        4.5609952504548845,
        4.561015279345788,
        4.561035308236692,
        4.561055337127596,
        4.561074889140144,
        4.561094918031048,
        4.561114946921951,
        4.561134975812855,
        4.5611550047037595,
        4.561175033594663,
        4.561831695089292,
        4.561851723980195,
        4.561871752871099,
        4.561891304883647,
        4.561911333774551,
        4.561931362665455,
        4.561950914678004,
        4.561970943568907,
        4.561990972459811,
        4.562011001350715,
        4.562030553363264,
        4.562050582254168,
        4.562070134266716,
        4.56209016315762,
        4.562110192048523,
        4.562129744061073,
        4.562149772951976,
        4.56216980184288,
        4.562189353855429,
        4.562209382746333,
        4.562229411637237,
        4.562248963649785,
        4.562268992540689,
        4.562289021431592,
        4.562308573444142,
        4.562328602335045,
        4.562348154347593,
        4.5623681832384975,
        4.5623882121294015,
        4.56240776414195,
        4.562427793032854,
        4.562447345045403,
        4.562467373936307,
        4.56248740282721,
        4.562506954839759,
        4.562526983730662,
        4.562546535743212,
        4.562566564634115,
        4.562586116646664,
        4.5626061455375675,
        4.5626261744284715,
        4.56264572644102,
        4.562665755331924,
        4.562685307344473,
        4.562705336235377,
        4.562724888247925,
        4.562744917138829,
        4.562764469151378,
        4.562784498042282,
        4.56280405005483,
        4.562824078945734,
        4.5628441078366375,
        4.562863659849187,
        4.56288368874009,
        4.5629032407526395,
        4.562923269643543,
        4.562942821656092,
        4.562962850546995,
        4.562982402559545,
        4.563002431450448,
        4.563021983462997,
        4.5630420123539,
        4.56306156436645,
        4.563081593257353,
        4.563101145269902,
        4.5631211741608055,
        4.563140726173355,
        4.563160755064258,
        4.5631803070768076,
        4.563199859089356,
        4.56321988798026,
        4.563239439992809,
        4.563259468883713,
        4.563279020896261,
        4.563299049787165,
        4.563318601799714,
        4.5633782115940695,
        4.563891332703888,
        4.563910884716438,
        4.563930436728986,
        4.56395046561989,
        4.563970017632439,
        4.5639895696449875,
        4.5640095985358915,
        4.56402915054844,
        4.5640487025609895,
        4.564068731451893,
        4.564088283464442,
        4.564107835476991,
        4.564127864367894,
        4.564147416380443,
        4.564166968392992,
        4.564186997283896,
        4.564206549296444,
        4.564226101308993,
        4.564245653321542,
        4.564265682212445,
        4.564285234224995,
        4.564304786237543,
        4.5643248151284475,
        4.564344367140996,
        4.564363919153545,
        4.564383471166094,
        4.564403500056997,
        4.564423052069547,
        4.564442604082095,
        4.564462156094644,
        4.564482184985548,
        4.564501736998096,
        4.564521289010646,
        4.564540841023194,
        4.564560869914098,
        4.564580421926647,
        4.564599973939195,
        4.564619525951745,
        4.564639554842648,
        4.564659106855197,
        4.564678658867746,
        4.5646982108802945,
        4.564717762892844,
        4.564737791783747,
        4.5647573437962965,
        4.564776895808845,
        4.564796447821394,
        4.564815999833943,
        4.564836028724846,
        4.564855580737396,
        4.564875132749944,
        4.564894684762493,
        4.564914236775042,
        4.564934265665945,
        4.564953817678495,
        4.564973369691043,
        4.564992921703592,
        4.565012473716141,
        4.56503202572869,
        4.565052054619594,
        4.565071606632142,
        4.565091158644691,
        4.56511071065724,
        4.565130262669789,
        4.5651498146823375,
        4.565169366694887,
        4.56518939558579,
        4.5652089475983395,
        4.565228499610888,
        4.565248051623437,
        4.565267603635986,
        4.565287155648535,
        4.565306707661083,
        4.565326259673633,
        4.565345811686181,
        4.565365840577085,
        4.565385392589634,
        4.565404944602182,
        4.565424496614732,
        4.56544404862728,
        4.565463600639829,
        4.565483152652378,
        4.565502704664927,
        4.56605063789465,
        4.566070189907198,
        4.566089741919747,
        4.566109293932296,
        4.566128845944845,
        4.566148397957393,
        4.566167949969943,
        4.566187501982491,
        4.56620705399504,
        4.566226606007589,
        4.566246158020138,
        4.566265710032686,
        4.566285262045236,
        4.566304814057784,
        4.566324366070333,
        4.566343441204528,
        4.566362993217076,
        4.566382545229625,
        4.566402097242174,
        4.566421649254723,
        4.5664412012672715,
        4.566460753279821,
        4.5664803052923695,
        4.5666557965269545,
        4.566675348539503,
        4.566694900552052,
        4.566714452564601,
        4.566733527698795,
        4.566753079711344,
        4.566772631723892,
        4.566792183736442,
        4.56681173574899,
        4.566831287761539,
        4.566850839774088,
        4.566869914908282,
        4.566889466920831,
        4.566909018933379,
        4.566928570945929,
        4.566948122958477,
        4.566967674971026,
        4.566987226983575,
        4.567006302117769,
        4.567025854130318,
        4.567045406142866,
        4.567064958155416,
        4.567084510167964,
        4.567103585302158,
        4.567123137314707,
        4.567142689327256,
        4.567162241339805,
        4.567181793352354,
        4.567200868486548,
        4.567220420499097,
        4.567239972511645,
        4.567259524524195,
        4.567279076536743,
        4.567298151670937,
        4.567317703683486,
        4.567337255696035,
        4.567356807708584,
        4.567375882842778,
        4.567395434855326,
        4.567414986867876,
        4.567434538880424,
        4.567453614014618,
        4.567473166027167,
        4.567492718039716,
        4.567512270052265,
        4.567531345186459,
        4.567550897199007,
        4.567803165848724,
        4.567822717861272,
        4.567900449033113,
        4.567919524167307,
        4.568287674257251,
        4.5683072262698,
        4.568326778282349,
        4.568345853416543,
        4.568365405429091,
        4.568384480563285,
        4.568404032575835,
        4.568423584588383,
        4.568442659722577,
        4.568462211735126,
        4.56848128686932,
        4.568500838881869,
        4.568519914016063,
        4.568539466028612,
        4.568559018041161,
        4.568578093175355,
        4.568597645187904,
        4.5686167203220975,
        4.568636272334646,
        4.56865534746884,
        4.5686748994813895,
        4.5686939746155835,
        4.568713526628132,
        4.568732601762326,
        4.5687521537748745,
        4.568771705787424,
        4.568790780921618,
        4.5688103329341665,
        4.5688294080683605,
        4.568848960080909,
        4.568868035215104,
        4.568887587227652,
        4.568906662361846,
        4.568926214374395,
        4.568945289508589,
        4.568964841521138,
        4.568983916655332,
        4.569003468667881,
        4.569022543802075,
        4.569042095814623,
        4.569061170948817,
        4.569080246083011,
        4.569099798095561,
        4.569118873229755,
        4.569138425242303,
        4.569157500376497,
        4.569177052389047,
        4.569196127523241,
        4.569215679535789,
        4.569234754669983,
        4.569254306682532,
        4.569273381816726,
        4.56929245695092,
        4.569312008963469,
        4.569331084097663,
        4.569350636110212,
        4.569369711244406,
        4.569389263256954,
        4.569408338391148,
        4.569427413525342,
        4.5694469655378915,
        4.5694660406720855,
        4.569485592684634,
        4.569504667818828,
        4.569523742953022,
        4.569543294965571,
        4.569562370099765,
        4.569581922112314,
        4.569600997246508,
        4.569620072380702,
        4.56963962439325,
        4.569812731236062,
        4.569831806370256,
        4.569851358382804,
        4.569870433516998,
        4.569889508651192,
        4.569909060663741,
        4.569928135797935,
        4.569947210932129,
        4.569966762944678,
        4.569985838078872,
        4.570004913213066,
        4.570024465225615,
        4.5700435403598085,
        4.5700626154940025,
        4.570082167506552,
        4.570101242640746,
        4.57012031777494,
        4.570139392909134,
        4.570158944921682,
        4.570178020055876,
        4.57019709519007,
        4.570235722336814,
        4.570580982265724,
        4.570600057399918,
        4.570619609412468,
        4.570638684546662,
        4.570657759680856,
        4.57067683481505,
        4.570695909949244,
        4.570715461961792,
        4.570734537095986,
        4.57075361223018,
        4.570772687364374,
        4.570791762498568,
        4.5708113145111176,
        4.5708303896453115,
        4.5708494647795055,
        4.5708685399136995,
        4.570887615047893,
        4.570906690182087,
        4.570926242194636,
        4.57094531732883,
        4.570964392463024,
        4.570983467597218,
        4.571002542731412,
        4.571021617865606,
        4.5710406929998,
        4.571060245012349,
        4.571079320146543,
        4.571098395280737,
        4.571117470414931,
        4.571136545549125,
        4.571155620683319,
        4.571174695817513,
        4.571193770951707,
        4.5712133229642555,
        4.5712323980984495,
        4.5712514732326435,
        4.571270548366838,
        4.571289623501032,
        4.571308698635226,
        4.57132777376942,
        4.571346848903614,
        4.571365924037808,
        4.571384999172002,
        4.571404551184551,
        4.571423626318745,
        4.571442701452939,
        4.571461776587133,
        4.571480851721327,
        4.5714999268555205,
        4.5715190019897145,
        4.5715380771239085,
        4.571557152258102,
        4.571576227392296,
        4.57159530252649,
        4.571614377660684,
        4.571633452794878,
        4.571652527929073,
        4.571671603063267,
        4.571690678197461,
        4.571709753331655,
        4.571728828465849,
        4.571900504673595,
        4.571919579807789,
        4.571938654941983,
        4.571957730076177,
        4.571976805210371,
        4.571995880344565,
        4.572014955478759,
        4.5720340306129525,
        4.5720531057471465,
        4.5720721808813405,
        4.5720912560155345,
        4.572110331149728,
        4.572129406283922,
        4.572148481418116,
        4.572167556552311,
        4.572186631686505,
        4.572205706820699,
        4.572224781954893,
        4.572243857089087,
        4.572262932223281,
        4.572282007357475,
        4.5723006056133135,
        4.572319680747508,
        4.572338755881702,
        4.572357831015896,
        4.57237690615009,
        4.572395981284284,
        4.572415056418478,
        4.572434131552672,
        4.572453206686866,
        4.57247228182106,
        4.572814203601488,
        4.572833278735682,
        4.572852353869876,
        4.57287142900407,
        4.572890504138264,
        4.572909102394102,
        4.572928177528296,
        4.57294725266249,
        4.572966327796685,
        4.573137050247721,
        4.573156125381915,
        4.573175200516109,
        4.573193798771948,
        4.573212873906142,
        4.573231949040336,
        4.57325102417453,
        4.573269622430369,
        4.573288697564563,
        4.573307772698757,
        4.573326847832951,
        4.573345446088791,
        4.5733645212229845,
        4.5733835963571785,
        4.5734026714913725,
        4.573421269747212,
        4.573440344881406,
        4.5734594200156,
        4.573478495149794,
        4.573497093405632,
        4.573516168539826,
        4.573799911160963,
        4.573818986295157,
        4.573970156733644,
        4.573989231867838,
        4.574026905257871,
        4.574045980392065,
        4.574064578647905,
        4.574083653782099,
        4.5741027289162925,
        4.574121327172131,
        4.574140402306325,
        4.574159000562164,
        4.574178075696358,
        4.574197150830552,
        4.574215749086392,
        4.574234824220586,
        4.574253422476425,
        4.574272497610619,
        4.574291572744813,
        4.5743101710006515,
        4.574329246134846,
        4.574347844390685,
        4.574366919524879,
        4.574385517780718,
        4.574404592914912,
        4.574423668049106,
        4.5744422663049455,
        4.5744613414391395,
        4.574479939694979,
        4.574499014829173,
        4.574517613085011,
        4.574536688219205,
        4.574555286475045,
        4.574574361609239,
        4.574593436743433,
        4.574612034999272,
        4.574631110133466,
        4.574649708389305,
        4.574668783523499,
        4.574687381779339,
        4.574706456913533,
        4.574725055169371,
        4.574744130303565,
        4.574762728559405,
        4.5747818036935985,
        4.574800401949438,
        4.574819477083632,
        4.574838075339471,
        4.575101789069703,
        4.575120387325542,
        4.575139462459736,
        4.575158060715576,
        4.575176658971414,
        4.575195734105608,
        4.575214332361448,
        4.575233407495642,
        4.575252005751481,
        4.575271080885675,
        4.575289679141514,
        4.575308277397353,
        4.575327352531547,
        4.575345950787386,
        4.57536502592158,
        4.5753836241774195,
        4.575402222433259,
        4.575421297567453,
        4.575439895823291,
        4.575458970957485,
        4.575477569213325,
        4.575496167469164,
        4.575515242603358,
        4.5755338408591975,
        4.575552439115036,
        4.57557151424923,
        4.575590112505069,
        4.575609187639263,
        4.575627785895103,
        4.575646384150942,
        4.575665459285136,
        4.5756840575409745,
        4.575702655796814,
        4.575721730931008,
        4.575740329186847,
        4.575758927442687,
        4.575778002576881,
        4.575796600832719,
        4.5758151990885585,
        4.5758342742227525,
        4.575852872478592,
        4.575871470734431,
        4.575890545868625,
        4.575909144124464,
        4.575927742380303,
        4.575946817514497,
        4.575965415770336,
        4.575984014026176,
        4.576002612282014,
        4.576021687416208,
        4.576040285672048,
        4.576058883927887,
        4.576077959062081,
        4.57609655731792,
        4.576115155573759,
        4.576133753829598,
        4.576152828963792,
        4.576171427219632,
        4.576190025475471,
        4.5762086237313095,
        4.5762276988655035,
        4.576246297121343,
        4.576264895377182,
        4.576283493633022,
        4.576302568767216,
        4.576321167023054,
        4.5763397652788935,
        4.576358363534733,
        4.576377438668927,
        4.576396036924766,
        4.576414635180605,
        4.576433233436444,
        4.5764518316922835,
        4.5764709068264775,
        4.576489505082317,
        4.576508103338155,
        4.576526701593995,
        4.576545776728189,
        4.576564374984028,
        4.5765829732398675,
        4.576601571495706,
        4.576620169751545,
        4.576638768007385,
        4.576657843141579,
        4.576676441397418,
        4.576695039653257,
        4.576713637909096,
        4.576732236164935,
        4.576751311299129,
        4.576769909554969,
        4.576788507810807,
        4.576807106066647,
        4.576825704322486,
        4.576844302578325,
        4.576862900834164,
        4.576881975968358,
        4.576900574224197,
        4.576919172480037,
        4.576937770735876,
        4.5769563689917145,
        4.576974967247554,
        4.576993565503393,
        4.577012163759232,
        4.577031238893426,
        4.577049837149265,
        4.5770684354051046,
        4.577087033660944,
        4.577105631916782,
        4.577124230172622,
        4.577142828428461,
        4.577403680888564,
        4.577422279144403,
        4.577440877400242,
        4.577459475656082,
        4.57747807391192,
        4.57749667216776,
        4.577515747301954,
        4.577534345557793,
        4.577552943813632,
        4.577571542069471,
        4.57759014032531,
        4.57760873858115,
        4.577627336836989,
        4.577645935092828,
        4.577664533348667,
        4.577683131604506,
        4.577701729860346,
        4.577720328116184,
        4.577738926372024,
        4.577757524627863,
        4.577776122883702,
        4.577794721139541,
        4.57781331939538,
        4.57783191765122,
        4.577850515907058,
        4.5778691141628975,
        4.577887712418737,
        4.577906310674576,
        4.57792443205206,
        4.5779430303079,
        4.577961628563739,
        4.5779802268195775,
        4.577998825075417,
        4.578017423331256,
        4.578036021587095,
        4.578054619842934,
        4.5780732180987735,
        4.578091816354613,
        4.578110414610451,
        4.578129012866291,
        4.57814761112213,
        4.57816620937797,
        4.578184807633808,
        4.578221527267132,
        4.578240125522971,
        4.57825872377881,
        4.5782773220346495,
        4.578295920290488,
        4.578314518546327,
        4.578333116802167,
        4.578351715058006,
        4.578370313313845,
        4.578388911569684,
        4.578407032947169,
        4.578425631203007,
        4.578444229458847,
        4.578462827714686,
        4.5784814259705255,
        4.578500024226364,
        4.578518622482203,
        4.578537220738043,
        4.578555342115527,
        4.578573940371366,
        4.5785925386272055,
        4.578611136883044,
        4.578629735138883,
        4.578648333394723,
        4.578666454772207,
        4.578685053028046,
        4.5787036512838855,
        4.578722249539725,
        4.578740847795563,
        4.578759446051403,
        4.578777567428887,
        4.578796165684726,
        4.578814763940565,
        4.578833362196405,
        4.578851960452243,
        4.578870081829728,
        4.5788886800855675,
        4.578907278341406,
        4.578925876597245,
        4.578944474853085,
        4.578962596230569,
        4.578981194486408,
        4.578999792742247,
        4.579018390998086,
        4.579036989253925,
        4.57905511063141,
        4.579073708887249,
        4.579092307143088,
        4.579110905398927,
        4.579129026776411,
        4.579147625032251,
        4.57916622328809,
        4.579184821543929,
        4.579202942921413,
        4.579221541177253,
        4.579240139433091,
        4.579258737688931,
        4.579276859066415,
        4.579295457322254,
        4.579314055578093,
        4.579332176955577,
        4.579350775211417,
        4.579369373467256,
        4.579387971723095,
        4.579406093100579,
        4.579424691356419,
        4.579443289612257,
        4.579461410989742,
        4.57949860750142,
        4.579701280802231,
        4.579719879058071,
        4.57973847731391,
        4.579756598691394,
        4.579775196947233,
        4.579793795203073,
        4.579811916580557,
        4.579830514836396,
        4.57984863621388,
        4.579867234469719,
        4.579885832725559,
        4.579903954103043,
        4.579922552358882,
        4.579941150614721,
        4.579959271992205,
        4.579977870248045,
        4.579995991625529,
        4.580014589881368,
        4.580033188137207,
        4.580051309514691,
        4.580069907770531,
        4.580088029148015,
        4.580106627403854,
        4.580125225659693,
        4.580143347037177,
        4.580161945293017,
        4.580180066670501,
        4.58019866492634,
        4.580216786303825,
        4.580235384559663,
        4.580253982815503,
        4.580272104192987,
        4.580290702448826,
        4.580308823826311,
        4.580327422082149,
        4.580345543459634,
        4.5803641417154735,
        4.580382263092957,
        4.580400861348797,
        4.580419459604635,
        4.58043758098212,
        4.5804561792379594,
        4.580474300615443,
        4.580492898871283,
        4.580511020248767,
        4.580529618504606,
        4.58054773988209,
        4.580566338137929,
        4.580584459515414,
        4.580603057771253,
        4.5806211791487375,
        4.580639777404576,
        4.580657898782061,
        4.5808782165820014,
        4.580969777226133,
        4.580988375481971,
        4.581006496859456,
        4.58102461823694,
        4.5810432164927795,
        4.581061337870263,
        4.581079936126103,
        4.581098057503588,
        4.581116655759426,
        4.581134777136911,
        4.581152898514395,
        4.581171496770234,
        4.581189618147718,
        4.5812082164035575,
        4.581226337781042,
        4.581244459158526,
        4.581263057414366,
        4.5812811787918495,
        4.581299777047689,
        4.581317898425173,
        4.581336019802658,
        4.581354618058497,
        4.581372739435981,
        4.581390860813465,
        4.581409459069304,
        4.581427580446789,
        4.5814461787026275,
        4.581464300080112,
        4.581482421457596,
        4.581501019713436,
        4.5815191410909195,
        4.581537262468404,
        4.581555860724244,
        4.581573982101728,
        4.5815921034792115,
        4.581610701735051,
        4.581628823112536,
        4.58164694449002,
        4.581665542745859,
        4.581683664123343,
        4.581701785500828,
        4.581720383756666,
        4.581738505134151,
        4.581756626511635,
        4.58177474788912,
        4.581793346144958,
        4.581811467522443,
        4.581829588899927,
        4.581848187155766,
        4.5820489529431585,
        4.582067074320642,
        4.582085195698127,
        4.582103317075611,
        4.5821219153314505,
        4.582140036708934,
        4.582158158086419,
        4.582176279463903,
        4.5821948777197425,
        4.5822129990972265,
        4.582231120474711,
        4.582249241852195,
        4.582267363229679,
        4.5822859614855185,
        4.582304082863003,
        4.582322204240487,
        4.582340325617972,
        4.5823589238738105,
        4.582377045251295,
        4.582395166628779,
        4.582413288006264,
        4.582431409383748,
        4.582450007639587,
        4.582468129017071,
        4.582486250394556,
        4.58250437177204,
        4.582522493149524,
        4.582540614527009,
        4.582559212782848,
        4.582577334160332,
        4.582595455537816,
        4.582613576915301,
        4.582631698292785,
        4.582649819670269,
        4.582668417926109,
        4.582686539303593,
        4.582704660681077,
        4.582722782058561,
        4.582740903436045,
        4.58275902481353,
        4.582777146191014,
        4.582795267568499,
        4.582813865824337,
        4.582831987201822,
        4.582850108579306,
        4.582868229956791,
        4.582886351334275,
        4.582904472711759,
        4.5829225940892435,
        4.582940715466727,
        4.582958836844212,
        4.582977435100052,
        4.5829955564775355,
        4.5830136778550195,
        4.583031799232504,
        4.583049920609988,
        4.583068041987473,
        4.583086163364957,
        4.583104284742442,
        4.583122406119926,
        4.5831405274974095,
        4.583158648874894,
        4.583176770252378,
        4.583195368508218,
        4.5832134898857015,
        4.583231611263186,
        4.58324973264067,
        4.583267854018155,
        4.583285975395639,
        4.583304096773124,
        4.583322218150608,
        4.5833403395280925,
        4.583358460905576,
        4.58337658228306,
        4.583394703660545,
        4.583412825038029,
        4.583430946415514,
        4.583449067792998,
        4.583467189170483,
        4.5834853105479665,
        4.58350343192545,
        4.583521553302935,
        4.583539674680419,
        4.583557796057904,
        4.583575917435388,
        4.583594038812873,
        4.5836121601903566,
        4.5836302815678405,
        4.583648402945325,
        4.583666524322809,
        4.583684645700294,
        4.583702767077778,
        4.583720888455263,
        4.583739009832747,
        4.583757131210231,
        4.583775252587715,
        4.583793373965199,
        4.583811495342684,
        4.583829616720168,
        4.583847738097653,
        4.583865382596782,
        4.583883503974266,
        4.583901625351751,
        4.583919746729235,
        4.5839378681067195,
        4.5839559894842035,
        4.583974110861687,
        4.583992232239172,
        4.584010353616656,
        4.584028474994141,
        4.584046596371625,
        4.58406471774911,
        4.5840828391265935,
        4.584100483625723,
        4.584118605003208,
        4.584136726380692,
        4.5841548477581755,
        4.58417296913566,
        4.584191090513144,
        4.584389948787117,
        4.5844075932862465,
        4.58442571466373,
        4.584443836041215,
        4.584461957418699,
        4.584480078796184,
        4.584498200173668,
        4.584515844672797,
        4.584552087427766,
        4.584570208805251,
        4.58484059883245,
        4.584858720209935,
        4.584876364709064,
        4.584894486086548,
        4.584912607464033,
        4.584930728841517,
        4.584948373340646,
        4.584966494718131,
        4.584984616095615,
        4.585002737473099,
        4.585020381972229,
        4.585038503349713,
        4.585056624727197,
        4.585074746104682,
        4.585092390603811,
        4.585110511981295,
        4.58512863335878,
        4.585146754736264,
        4.585164399235393,
        4.585182520612878,
        4.585200641990362,
        4.585218286489491,
        4.585236407866976,
        4.58525452924446,
        4.585272650621945,
        4.585290295121074,
        4.585308416498558,
        4.585326537876043,
        4.585344182375172,
        4.585362303752656,
        4.585380425130141,
        4.58539806962927,
        4.585416191006754,
        4.585434312384239,
        4.585451956883368,
        4.585470078260852,
        4.585488199638337,
        4.585505844137466,
        4.58552396551495,
        4.585542086892435,
        4.585559731391564,
        4.585577852769048,
        4.585595974146533,
        4.585613618645662,
        4.585631740023146,
        4.585649861400631,
        4.58566750589976,
        4.585685627277244,
        4.585703271776374,
        4.585721393153858,
        4.585739514531342,
        4.585757159030472,
        4.585775280407956,
        4.58579340178544,
        4.5858110462845705,
        4.585829167662054,
        4.585846812161184,
        4.5858649335386685,
        4.5858830549161524,
        4.585900699415282,
        4.585918820792767,
        4.585936465291896,
        4.58595458666938,
        4.585972231168509,
        4.585990352545994,
        4.586008473923478,
        4.586026118422607,
        4.586044239800092,
        4.586061884299221,
        4.586080005676705,
        4.586097650175835,
        4.586115771553319,
        4.586133892930803,
        4.586151537429933,
        4.5861696588074174,
        4.586187303306547,
        4.586205424684031,
        4.586223069183161,
        4.586241190560645,
        4.586258835059774,
        4.586276956437259,
        4.586294600936388,
        4.586312722313872,
        4.5863303668130015,
        4.586348488190486,
        4.586366132689616,
        4.5863842540671,
        4.586401898566229,
        4.586420019943714,
        4.586437664442843,
        4.586455785820327,
        4.586473430319456,
        4.586491551696941,
        4.5865091961960704,
        4.586527317573554,
        4.586544962072685,
        4.5865630834501685,
        4.586580727949298,
        4.586616493825912,
        4.5868487335847234,
        4.586866854962208,
        4.586884499461338,
        4.586902143960467,
        4.586920265337951,
        4.586937909837081,
        4.586956031214565,
        4.586973675713694,
        4.586991320212824,
        4.587009441590308,
        4.587027086089438,
        4.587045207466922,
        4.587062851966051,
        4.587080496465181,
        4.587098617842665,
        4.5871162623417945,
        4.587134383719279,
        4.587152028218409,
        4.587169672717538,
        4.587187794095022,
        4.587205438594151,
        4.587223083093281,
        4.587241204470765,
        4.587258848969895,
        4.587276493469024,
        4.587294614846509,
        4.587312259345638,
        4.587330380723122,
        4.587348025222251,
        4.587365669721381,
        4.5873837910988655,
        4.587401435597995,
        4.587419080097124,
        4.587437201474609,
        4.587454845973738,
        4.587472490472868,
        4.587490134971997,
        4.587508256349481,
        4.587525900848611,
        4.5875435453477404,
        4.587561666725224,
        4.587579311224354,
        4.587596955723483,
        4.587615077100968,
        4.587632721600097,
        4.5876503660992265,
        4.587668487476711,
        4.587686131975841,
        4.58770377647497,
        4.587721420974099,
        4.587739542351583,
        4.587757186850713,
        4.587774831349843,
        4.587792475848972,
        4.587810597226456,
        4.587828241725585,
        4.587845886224715,
        4.587863530723845,
        4.587881652101329,
        4.588183516099949,
        4.588201160599079,
        4.588218805098208,
        4.588236449597337,
        4.588254094096467,
        4.588271738595596,
        4.588289859973081,
        4.58830750447221,
        4.5883251489713395,
        4.588342793470469,
        4.588360437969598,
        4.5883780824687275,
        4.588396203846212,
        4.588413848345342,
        4.588431492844471,
        4.5884491373436,
        4.58846678184273,
        4.588484426341859,
        4.588502547719344,
        4.588520192218473,
        4.588537836717602,
        4.588555481216732,
        4.588573125715861,
        4.588590770214991,
        4.588608414714121,
        4.58862605921325,
        4.588644180590734,
        4.588661825089863,
        4.5886794695889925,
        4.588697114088123,
        4.588714758587252,
        4.588732403086381,
        4.588750047585511,
        4.58876769208464,
        4.588785336583769,
        4.588803457961254,
        4.5888211024603835,
        4.588838746959513,
        4.588856391458642,
        4.5888740359577715,
        4.588891680456901,
        4.588909324956031,
        4.588979902952548,
        4.589139180323069,
        4.589156824822198,
        4.589174469321327,
        4.589192113820457,
        4.589209758319586,
        4.589227402818715,
        4.589245047317845,
        4.589262691816974,
        4.589280336316104,
        4.589297980815234,
        4.589315625314363,
        4.589333269813492,
        4.589350914312622,
        4.589368558811751,
        4.58938620331088,
        4.5894038478100105,
        4.58942149230914,
        4.589439136808269,
        4.5894567813073985,
        4.589474425806528,
        4.589492070305657,
        4.5895097148047865,
        4.589527359303916,
        4.589545003803046,
        4.589562648302175,
        4.58957981592295,
        4.5895974604220795,
        4.589615104921209,
        4.589632749420338,
        4.5896503939194675,
        4.589668038418597,
        4.589685682917726,
        4.589703327416856,
        4.589720971915986,
        4.589738616415115,
        4.589756260914244,
        4.589773905413374,
        4.589791549912503,
        4.589809194411632,
        4.589826838910762,
        4.5898440065315365,
        4.589861651030666,
        4.589879295529796,
        4.589896940028925,
        4.589914584528055,
        4.589932229027184,
        4.589949873526313,
        4.589967518025443,
        4.589985162524572,
        4.590002807023702,
        4.590019974644476,
        4.590037619143605,
        4.590055263642736,
        4.590072908141865,
        4.590090552640994,
        4.590108197140124,
        4.590125841639253,
        4.590143009260028,
        4.590160653759157,
        4.590178298258286,
        4.590195942757416,
        4.590213587256546,
        4.590231231755675,
        4.590248876254805,
        4.590266043875579,
        4.590283688374709,
        4.590301332873838,
        4.590318977372967,
        4.590336621872097,
        4.590354266371226,
        4.590371433992001,
        4.59038907849113,
        4.590406722990259,
        4.59042436748939,
        4.590442011988519,
        4.590459179609293,
        4.590476824108423,
        4.590494468607552,
        4.590512113106682,
        4.590529757605811,
        4.590546925226586,
        4.590564569725715,
        4.5905822142248445,
        4.590599858723974,
        4.590617503223103,
        4.590634670843878,
        4.590652315343007,
        4.5906699598421365,
        4.590687604341267,
        4.590704771962041,
        4.590722416461171,
        4.5907400609603,
        4.5907577054594295,
        4.590774873080204,
        4.590792517579334,
        4.590810162078463,
        4.590827806577592,
        4.590844974198367,
        4.590862618697496,
        4.590880263196626,
        4.590897907695755,
        4.59091507531653,
        4.590932719815659,
        4.590950364314788,
        4.590967531935563,
        4.5909851764346925,
        4.591002820933823,
        4.591020465432952,
        4.591037633053726,
        4.591055277552856,
        4.5910729220519855,
        4.59109008967276,
        4.5911077341718896,
        4.591125378671019,
        4.591142546291794,
        4.591160190790923,
        4.591177835290052,
        4.591195002910827,
        4.591212647409956,
        4.591230291909086,
        4.5912474595298605,
        4.59126510402899,
        4.591282748528119,
        4.591317560648023,
        4.5913352051471525,
        4.591352372767927,
        4.591370017267057,
        4.591387661766186,
        4.591404829386961,
        4.591440118385219,
        4.5915097426250275,
        4.591527387124158,
        4.591562199244061,
        4.591579843743191,
        4.591597011363965,
        4.591614655863095,
        4.591631823483869,
        4.591649467982999,
        4.591667112482129,
        4.591684280102903,
        4.591701924602033,
        4.591719092222807,
        4.591736736721937,
        4.591754381221066,
        4.591771548841841,
        4.59178919334097,
        4.591806360961745,
        4.591824005460874,
        4.591841173081649,
        4.591858817580778,
        4.591875985201552,
        4.5918936297006825,
        4.591911274199812,
        4.591928441820587,
        4.591946086319716,
        4.591963253940491,
        4.59198089843962,
        4.591998066060395,
        4.592015710559524,
        4.592032878180298,
        4.592050522679428,
        4.592067690300202,
        4.592085334799332,
        4.592102502420106,
        4.592120146919236,
        4.59213731454001,
        4.59215495903914,
        4.59217260353827,
        4.592189771159044,
        4.592207415658174,
        4.592224583278948,
        4.592241750899722,
        4.592259395398852,
        4.5922765630196265,
        4.592294207518756,
        4.592311375139531,
        4.59232901963866,
        4.592346187259435,
        4.592363831758564,
        4.592380999379339,
        4.592398643878468,
        4.592415811499243,
        4.592433455998372,
        4.592450623619147,
        4.592468268118276,
        4.592485435739051,
        4.59250308023818,
        4.592520247858955,
        4.59253741547973,
        4.592555059978859,
        4.592572227599634,
        4.592589872098763,
        4.592607039719538,
        4.592624684218667,
        4.592641851839442,
        4.592659019460217,
        4.592676663959346,
        4.592693831580121,
        4.59271147607925,
        4.592728643700024,
        4.592746288199154,
        4.592763455819928,
        4.592780623440703,
        4.592798267939832,
        4.592815435560607,
        4.592833080059736,
        4.592850247680511,
        4.592867415301286,
        4.592885059800415,
        4.59290222742119,
        4.592919395041965,
        4.592937039541094,
        4.592954207161869,
        4.592971851660998,
        4.592989019281773,
        4.593006186902548,
        4.593023831401677,
        4.593040999022452,
        4.5930581666432255,
        4.593075811142356,
        4.59309297876313,
        4.593110146383904,
        4.593127790883034,
        4.593144958503808,
        4.593162126124583,
        4.5931797706237125,
        4.593196938244487,
        4.593214105865262,
        4.593231750364391,
        4.593248917985166,
        4.593266085605941,
        4.59328373010507,
        4.593300897725845,
        4.593318065346619,
        4.593335709845749,
        4.593352877466523,
        4.593370045087298,
        4.593387212708072,
        4.593404857207202,
        4.5934220248279765,
        4.593439192448751,
        4.5934568369478805,
        4.593474004568655,
        4.59349117218943,
        4.593508339810204,
        4.593525984309334,
        4.593543151930108,
        4.593560319550883,
        4.593577964050012,
        4.593595131670787,
        4.593612299291562,
        4.593629466912336,
        4.593647111411466,
        4.59366427903224,
        4.593681446653015,
        4.59369861427379,
        4.593716258772919,
        4.593733426393694,
        4.593750594014468,
        4.593767761635243,
        4.593784929256017,
        4.593802573755147,
        4.593819741375921,
        4.593836908996696,
        4.593854076617471,
        4.593888888737375,
        4.593940391599698,
        4.593958036098828,
        4.593975203719602,
        4.593992371340377,
        4.594009538961152,
        4.594026706581927,
        4.5940438742027006,
        4.594061518701831,
        4.594078686322605,
        4.594095853943379,
        4.594113021564154,
        4.594130189184929,
        4.594147833684058,
        4.594165001304833,
        4.594182168925608,
        4.5941993365463825,
        4.594216504167156,
        4.594233671787931,
        4.594250839408706,
        4.594268483907835,
        4.59428565152861,
        4.594302819149385,
        4.594319986770159,
        4.594337154390933,
        4.594354322011708,
        4.594371489632483,
        4.5943886572532575,
        4.594406301752387,
        4.594423469373162,
        4.594440636993936,
        4.594457804614711,
        4.594474972235485,
        4.59449213985626,
        4.5945093074770345,
        4.594526475097809,
        4.594543642718584,
        4.594561287217713,
        4.594578454838488,
        4.594595622459263,
        4.594612790080037,
        4.594629957700811,
        4.594647125321586,
        4.594664292942361,
        4.594681460563136,
        4.59469862818391,
        4.594715795804684,
        4.594732963425459,
        4.594750131046234,
        4.5947672986670085,
        4.594784466287783,
        4.594802110786913,
        4.594819278407687,
        4.594836446028462,
        4.594853613649236,
        4.594870781270011,
        4.5948879488907854,
        4.59490511651156,
        4.594922284132335,
        4.59493945175311,
        4.5949566193738836,
        4.594973786994658,
        4.594990954615433,
        4.595008122236208,
        4.5950252898569826,
        4.596354826710304,
        4.597718698805175,
        4.597738727696079,
        4.597759233465338,
        4.597779739234596,
        4.597800245003855,
        4.5978207507731135,
        4.597841256542372,
        4.59786176231163,
        4.597882268080888,
        4.597902296971792,
        4.597922802741051,
        4.59794330851031,
        4.597963814279568,
        4.597984320048827,
        4.5980048258180855,
        4.598025331587344,
        4.598045360478247,
        4.598065866247506,
        4.598086372016764,
        4.598106877786023,
        4.598127383555282,
        4.59814788932454,
        4.598167918215444,
        4.598188423984703,
        4.5982089297539614,
        4.598229435523219,
        4.598249941292478,
        4.598269970183382,
        4.59829047595264,
        4.598310981721899,
        4.598331487491158,
        4.598351516382062,
        4.598372022151319,
        4.598392527920578,
        4.598413033689837,
        4.598433539459095,
        4.598453568349999,
        4.598474074119258,
        4.598494579888516,
        4.598515085657775,
        4.598535114548678,
        4.598555620317937,
        4.598576126087195,
        4.598596631856454,
        4.598616660747358,
        4.598637166516617,
        4.598657672285875,
        4.598678178055134,
        4.598698206946037,
        4.5987187127152955,
        4.598739218484554,
        4.598759247375458,
        4.598779753144717,
        4.598800258913975,
        4.598820764683234,
        4.598840793574137,
        4.598861299343396,
        4.598881805112654,
        4.598901834003558,
        4.598922339772817,
        4.5989428455420756,
        4.598962874432979,
        4.598983380202237,
        4.599003885971496,
        4.5990239148624,
        4.5990444206316585,
        4.599064926400917,
        4.59908495529182,
        4.599105461061079,
        4.5991259668303375,
        4.5991459957212415,
        4.5991665014905,
        4.599187007259759,
        4.599207036150662,
        4.5992275419199204,
        4.599248047689179,
        4.599268076580083,
        4.599288582349342,
        4.599308611240245,
        4.599329117009503,
        4.599349622778762,
        4.599369651669666,
        4.599390157438925,
        4.599410186329829,
        4.599430692099086,
        4.599451197868345,
        4.599471226759249,
        4.599491732528508,
        4.599511761419412,
        4.59953226718867,
        4.599552772957929,
        4.599572801848832,
        4.599593307618091,
        4.599613336508995,
        4.599633842278253,
        4.599653871169156,
        4.599674376938415,
        4.599694405829319,
        4.599714911598578,
        4.599735417367836,
        4.599755446258739,
        4.599775952027998,
        4.599795980918902,
        4.599816486688161,
        4.599836515579065,
        4.599857021348322,
        4.599877050239226,
        4.599897556008485,
        4.599917584899389,
        4.599938090668648,
        4.599958119559551,
        4.599978625328809,
        4.599998654219713,
        4.600019159988972,
        4.600039188879875,
        4.600059694649134,
        4.600079723540038,
        4.600100229309296,
        4.6001202582002,
        4.600140763969459,
        4.600160792860362,
        4.600181298629621,
        4.600201327520525,
        4.600221833289783,
        4.600241862180686,
        4.600262367949945,
        4.600282396840849,
        4.600302425731753,
        4.600322931501011,
        4.600342960391915,
        4.600363466161173,
        4.600383495052077,
        4.600404000821336,
        4.600424029712239,
        4.600444535481498,
        4.600464564372402,
        4.600484593263305,
        4.6005050990325635,
        4.600525127923468,
        4.600545633692726,
        4.60056566258363,
        4.600585691474533,
        4.600606197243792,
        4.600626226134696,
        4.600646731903955,
        4.600666760794858,
        4.600686789685762,
        4.60070729545502,
        4.600727324345924,
        4.6007473532368275,
        4.600767859006086,
        4.60078788789699,
        4.600808393666249,
        4.600828422557152,
        4.600848451448056,
        4.6008689572173145,
        4.6008889861082185,
        4.600909014999122,
        4.60092952076838,
        4.600949549659284,
        4.600969578550188,
        4.600990084319446,
        4.60101011321035,
        4.601030142101254,
        4.601050647870513,
        4.601070676761416,
        4.60109070565232,
        4.601111211421578,
        4.601131240312482,
        4.601151269203386,
        4.601171774972644,
        4.601191803863548,
        4.601211832754451,
        4.601231861645355,
        4.601252367414614,
        4.601272396305518,
        4.601292425196421,
        4.60131293096568,
        4.601332959856584,
        4.601352988747487,
        4.601373017638391,
        4.6013935234076495,
        4.6014135522985535,
        4.601433581189457,
        4.601453610080361,
        4.601474115849619,
        4.601494144740523,
        4.6015141736314265,
        4.6015342025223305,
        4.601554708291589,
        4.601574737182492,
        4.601594766073396,
        4.6016147949643,
        4.601635300733559,
        4.601655329624462,
        4.601675358515366,
        4.601695387406269,
        4.601715416297173,
        4.601735922066432,
        4.601755950957336,
        4.601775979848239,
        4.601796008739143,
        4.601816037630047,
        4.601836543399306,
        4.601856572290209,
        4.601876601181113,
        4.601896630072016,
        4.60191665896292,
        4.601936687853824,
        4.6019571936230825,
        4.601977222513986,
        4.60199725140489,
        4.602017280295794,
        4.602037309186697,
        4.602057338077601,
        4.6020778438468595,
        4.602097872737763,
        4.602117901628667,
        4.602137930519571,
        4.602157959410474,
        4.602177988301378,
        4.602198017192282,
        4.602218046083185,
        4.602238551852444,
        4.602258580743348,
        4.602278609634252,
        4.602298638525155,
        4.602318667416059,
        4.602338696306962,
        4.602358725197866,
        4.60237875408877,
        4.602398782979673,
        4.602418811870577,
        4.602439317639836,
        4.60245934653074,
        4.602479375421643,
        4.602499404312547,
        4.60251943320345,
        4.602539462094354,
        4.602559490985258,
        4.602579519876161,
        4.602599548767065,
        4.602619577657969,
        4.602639606548872,
        4.602659635439776,
        4.602980097694235,
        4.6030001265851395,
        4.603020155476043,
        4.603040184366947,
        4.603060213257851,
        4.603080242148754,
        4.603100271039658,
        4.603120299930562,
        4.603140328821465,
        4.603160357712369,
        4.603180386603273,
        4.603200415494176,
        4.60322044438508,
        4.603240473275983,
        4.603260502166887,
        4.603280531057791,
        4.6033005599486945,
        4.6033205888395985,
        4.6033406177305025,
        4.603360646621406,
        4.60338067551231,
        4.603400704403214,
        4.603420256415762,
        4.603440285306666,
        4.603460314197569,
        4.603480343088473,
        4.603500371979377,
        4.603520400870281,
        4.603540429761185,
        4.603560458652088,
        4.603580487542992,
        4.603600516433896,
        4.603620068446444,
        4.603640097337348,
        4.6036601262282515,
        4.6036801551191555,
        4.6037001840100595,
        4.603720212900963,
        4.603740241791867,
        4.603759793804415,
        4.603779822695319,
        4.603799851586222,
        4.603819880477126,
        4.6038399093680304,
        4.603859938258934,
        4.603879967149838,
        4.603899519162386,
        4.60391954805329,
        4.603939576944194,
        4.603959605835097,
        4.603979634726001,
        4.6039996636169045,
        4.604019215629454,
        4.604039244520357,
        4.604059273411261,
        4.604079302302165,
        4.604099331193068,
        4.604118883205618,
        4.604138912096521,
        4.604158940987425,
        4.604178969878329,
        4.604198521890877,
        4.604218550781781,
        4.604238579672685,
        4.604258608563589,
        4.604278637454493,
        4.604298189467041,
        4.604318218357944,
        4.604338247248848,
        4.604358276139752,
        4.604377828152301,
        4.604397857043205,
        4.604417885934108,
        4.604437914825012,
        4.604457466837561,
        4.604477495728465,
        4.604497524619369,
        4.604517553510272,
        4.604537105522821,
        4.604557134413724,
        4.604577163304628,
        4.604596715317177,
        4.604616744208081,
        4.604636773098984,
        4.604656801989888,
        4.604676354002437,
        4.604696382893341,
        4.604716411784245,
        4.604735963796793,
        4.604755992687697,
        4.6047760215786,
        4.60479557359115,
        4.604815602482053,
        4.604835631372957,
        4.604855183385506,
        4.60487521227641,
        4.604895241167314,
        4.604914793179862,
        4.604934822070766,
        4.604954850961669,
        4.604974402974219,
        4.604994431865122,
        4.605014460756026,
        4.6050340127685745,
        4.6050540416594785,
        4.605074070550382,
        4.605093622562931,
        4.605113651453834,
        4.605133203466384,
        4.605153232357287,
        4.605173261248191,
        4.605192813260739,
        4.605212842151643,
        4.605232394164192,
        4.605252423055096,
        4.605272451946,
        4.6052920039585485,
        4.605312032849453,
        4.605331584862001,
        4.605351613752905,
        4.605371642643808,
        4.605391194656358,
        4.605411223547261,
        4.60543077555981,
        4.605450804450713,
        4.605470356463262,
        4.605490385354166,
        4.60551041424507,
        4.605529966257619,
        4.605549995148523,
        4.605569547161071,
        4.605589576051975,
        4.605609128064524,
        4.605629156955428,
        4.605648708967976,
        4.60566873785888,
        4.605688289871429,
        4.605708318762333,
        4.605727870774881,
        4.6057478996657855,
        4.605767928556689,
        4.605787480569238,
        4.605807509460141,
        4.605827061472691,
        4.605847090363594,
        4.605866642376143,
        4.605886671267046,
        4.605906223279596,
        4.605926252170499,
        4.605945804183047,
        4.605965356195597,
        4.606044518002502,
        4.606064546893405,
        4.606104127796858,
        4.606123679809407,
        4.60614370870031,
        4.60616326071286,
        4.606183289603763,
        4.606202841616312,
        4.606222393628861,
        4.606242422519765,
        4.6062619745323135,
        4.6062820034232175,
        4.606301555435766,
        4.60632158432667,
        4.606341136339219,
        4.606360688351767,
        4.606380717242671,
        4.60640026925522,
        4.606420298146124,
        4.606439850158672,
        4.606459402171222,
        4.606479431062125,
        4.606498983074674,
        4.6065190119655774,
        4.606538563978127,
        4.606558115990675,
        4.606578144881579,
        4.606597696894128,
        4.606617248906677,
        4.606637277797581,
        4.606656829810129,
        4.606676858701033,
        4.606696410713582,
        4.60671596272613,
        4.606735991617034,
        4.606755543629583,
        4.606775095642132,
        4.606795124533035,
        4.606814676545585,
        4.606834228558133,
        4.606854257449037,
        4.606873809461586,
        4.6068933614741345,
        4.6069133903650386,
        4.606932942377587,
        4.6069524943901365,
        4.606972046402685,
        4.606992075293589,
        4.607011627306138,
        4.607031179318686,
        4.60705120820959,
        4.607070760222139,
        4.607090312234688,
        4.607110341125591,
        4.607129893138141,
        4.607149445150689,
        4.607168997163238,
        4.607189026054142,
        4.6072085780666905,
        4.60722813007924,
        4.6072476820917885,
        4.6072677109826925,
        4.607287262995241,
        4.60730681500779,
        4.607326367020339,
        4.607346395911242,
        4.607365947923792,
        4.60738549993634,
        4.607405051948889,
        4.607425080839793,
        4.607444632852341,
        4.607464184864891,
        4.607483736877439,
        4.607503288889988,
        4.607523317780892,
        4.60754286979344,
        4.60756242180599,
        4.607581973818538,
        4.607602002709442,
        4.607621554721991,
        4.6076411067345395,
        4.607660658747089,
        4.6076802107596375,
        4.607699762772186,
        4.60771979166309,
        4.607739343675639,
        4.607758895688188,
        4.607778447700737,
        4.607797999713285,
        4.607818028604189,
        4.607837580616738,
        4.607857132629287,
        4.607876684641836,
        4.607896236654384,
        4.607915788666934,
        4.607935340679482,
        4.607955369570386,
        4.607974921582935,
        4.607994473595483,
        4.608014025608033,
        4.608033577620581,
        4.60805312963313,
        4.608072681645679,
        4.608092233658228,
        4.608112262549132,
        4.6081318145616805,
        4.608151366574229,
        4.6081709185867785,
        4.608190470599327,
        4.608210022611876,
        4.608229574624425,
        4.608249126636974,
        4.608268678649522,
        4.608288230662072,
        4.60830778267462,
        4.608327811565524,
        4.608347363578073,
        4.608366915590621,
        4.608386467603171,
        4.608406019615719,
        4.608425571628268,
        4.608445123640817,
        4.608464675653366,
        4.608484227665914,
        4.608503779678464,
        4.608523331691012,
        4.608542883703561,
        4.60856243571611,
        4.608581987728659,
        4.6086015397412075,
        4.608621091753757,
        4.6086406437663054,
        4.608660195778854,
        4.608679747791403,
        4.608699299803952,
        4.6087188518165005,
        4.60873840382905,
        4.6087579558415985,
        4.608777507854147,
        4.6087970598666965,
        4.608816611879245,
        4.608836163891794,
        4.608855715904343,
        4.608875267916892,
        4.60889481992944,
        4.60891437194199,
        4.608933923954538,
        4.608953475967087,
        4.608973027979636,
        4.608992579992185,
        4.609012132004733,
        4.609031684017283,
        4.609051236029831,
        4.60907078804238,
        4.609090340054929,
        4.609109892067478,
        4.609129444080026,
        4.609148996092576,
        4.609168548105124,
        4.609188100117673,
        4.609207175251867,
        4.609226727264416,
        4.609246279276965,
        4.609265831289513,
        4.609285383302063,
        4.609304935314611,
        4.60932448732716,
        4.609344039339709,
        4.609363591352258,
        4.6093831433648065,
        4.609402695377356,
        4.60942177051155,
        4.609441322524098,
        4.609460874536647,
        4.609480426549196,
        4.609499978561745,
        4.609519530574294,
        4.609539082586843,
        4.6095586345993915,
        4.6095777097335855,
        4.609597261746135,
        4.6096168137586835,
        4.609636365771232,
        4.6096559177837815,
        4.60967546979633,
        4.609695021808879,
        4.6097140969430725,
        4.609733648955622,
        4.6097532009681705,
        4.609772752980719,
        4.6097923049932685,
        4.6098113801274625,
        4.609830932140011,
        4.60985048415256,
        4.609870036165109,
        4.609889588177658,
        4.609909140190206,
        4.6099282153244,
        4.6099477673369496,
        4.609967319349498,
        4.609986871362047,
        4.610006423374596,
        4.61002549850879,
        4.610045050521339,
        4.610064602533887,
        4.610084154546437,
        4.610103229680631,
        4.610122781693179,
        4.610142333705728,
        4.610161885718277,
        4.610180960852471,
        4.61020051286502,
        4.610220064877569,
        4.610239616890118,
        4.610569616711674,
        4.610589168724222,
        4.610608243858416,
        4.610627795870966,
        4.610647347883514,
        4.610666423017708,
        4.610685975030258,
        4.610705527042806,
        4.610724602177,
        4.610744154189549,
        4.610763706202098,
        4.610782781336292,
        4.610802333348841,
        4.610821885361389,
        4.610840960495583,
        4.610860512508133,
        4.610880064520681,
        4.610899139654875,
        4.610918691667424,
        4.610937766801618,
        4.610957318814167,
        4.610976870826716,
        4.61099594596091,
        4.611015497973458,
        4.6110350499860076,
        4.6110541251202015,
        4.61107367713275,
        4.611092752266944,
        4.6111123042794935,
        4.611131856292042,
        4.611150931426236,
        4.6111704834387846,
        4.6111895585729785,
        4.611209110585528,
        4.611228185719722,
        4.6112477377322705,
        4.611267289744819,
        4.611286364879013,
        4.611305916891562,
        4.611324992025756,
        4.611344544038305,
        4.611363619172499,
        4.6113831711850475,
        4.611402723197597,
        4.611421798331791,
        4.611441350344339,
        4.611460425478533,
        4.611479977491083,
        4.611499052625277,
        4.611518604637825,
        4.611537679772019,
        4.611557231784568,
        4.611576306918762,
        4.611595858931311,
        4.611614934065505,
        4.611634486078054,
        4.611653561212248,
        4.611673113224796,
        4.61169218835899,
        4.61171174037154,
        4.611730815505734,
        4.611750367518282,
        4.611769442652476,
        4.611788994665026,
        4.61180806979922,
        4.611827621811768,
        4.611846696945962,
        4.611866248958511,
        4.611885324092705,
        4.611904876105254,
        4.611923951239448,
        4.611943503251997,
        4.611962578386191,
        4.611981653520385,
        4.612001205532933,
        4.612020280667127,
        4.6120398326796765,
        4.6120589078138705,
        4.612078459826419,
        4.612097534960613,
        4.612116610094807,
        4.612136162107356,
        4.61215523724155,
        4.612174789254099,
        4.612193864388293,
        4.6122134164008415,
        4.6122324915350355,
        4.612251566669229,
        4.612271118681779,
        4.612290193815973,
        4.612309745828521,
        4.612328820962715,
        4.612347896096909,
        4.612367448109459,
        4.612386523243653,
        4.612405598377847,
        4.612425150390395,
        4.612444225524589,
        4.612463777537138,
        4.612482852671332,
        4.612501927805526,
        4.612521479818075,
        4.612540554952269,
        4.612559630086463,
        4.612579182099012,
        4.612598257233206,
        4.6126173323674,
        4.612636884379949,
        4.612655959514143,
        4.612675034648337,
        4.6126945866608855,
        4.6127136617950795,
        4.612732736929273,
        4.612752288941822,
        4.612771364076016,
        4.61279043921021,
        4.612809991222759,
        4.612829066356953,
        4.612848141491147,
        4.612867693503696,
        4.61288676863789,
        4.612905843772084,
        4.612924918906278,
        4.612944470918827,
        4.612963546053021,
        4.612982621187215,
        4.613002173199764,
        4.613021248333958,
        4.613040323468152,
        4.613059398602346,
        4.613078950614894,
        4.613098025749089,
        4.613117100883283,
        4.613136176017477,
        4.6131557280300255,
        4.6131748031642195,
        4.613193878298413,
        4.613212953432607,
        4.613232505445156,
        4.61325158057935,
        4.613270655713544,
        4.613289730847738,
        4.613309282860287,
        4.613328357994481,
        4.613347433128675,
        4.613366508262869,
        4.613385583397063,
        4.613405135409612,
        4.613424210543806,
        4.613443285678,
        4.613462360812194,
        4.613481435946388,
        4.613500987958937,
        4.613520063093131,
        4.613539138227325,
        4.613558213361519,
        4.613577288495713,
        4.613596363629907,
        4.613615915642455,
        4.613634990776649,
        4.613654065910843,
        4.613673141045037,
        4.613692216179231,
        4.613711291313425,
        4.613730843325975,
        4.613749918460169,
        4.613768993594363,
        4.613788068728557,
        4.613807143862751,
        4.613826218996945,
        4.6138452941311385,
        4.613864846143687,
        4.613883921277881,
        4.613902996412075,
        4.613922071546269,
        4.613941146680464,
        4.613960221814658,
        4.613979296948852,
        4.613998372083046,
        4.61401744721724,
        4.614036999229788,
        4.614056074363982,
        4.614075149498176,
        4.61409422463237,
        4.614113299766564,
        4.614132374900758,
        4.614151450034952,
        4.614170525169146,
        4.61418960030334,
        4.614208675437534,
        4.614227750571728,
        4.614246825705922,
        4.614265900840116,
        4.614285452852665,
        4.614304527986859,
        4.614323603121053,
        4.614342678255247,
        4.614361753389441,
        4.614380828523635,
        4.614399903657829,
        4.614418978792023,
        4.614438053926217,
        4.614457129060411,
        4.614476204194605,
        4.614495279328799,
        4.614514354462993,
        4.614533429597187,
        4.614552504731381,
        4.614571579865575,
        4.614590654999769,
        4.614609730133963,
        4.614628805268157,
        4.614647880402351,
        4.614666955536546,
        4.61468603067074,
        4.6147051058049335,
        4.6147241809391275,
        4.6147432560733215,
        4.6147623312075154,
        4.614781406341709,
        4.614800481475903,
        4.614819556610097,
        4.614838631744291,
        4.614857706878485,
        4.614876782012679,
        4.614895857146873,
        4.614914455402713,
        4.614933530536907,
        4.6149526056711005,
        4.6149716808052945,
        4.6149907559394885,
        4.6150098310736825,
        4.615028906207876,
        4.61504798134207,
        4.615067056476264,
        4.615086131610458,
        4.615105206744652,
        4.615124281878846,
        4.61514335701304,
        4.615162432147234,
        4.615181030403074,
        4.615200105537268,
        4.6152191806714615,
        4.6152382558056555,
        4.6152573309398495,
        4.615276406074043,
        4.615295481208237,
        4.615314556342431,
        4.615333631476625,
        4.615352229732465,
        4.615371304866659,
        4.615390380000853,
        4.615409455135047,
        4.615428530269241,
        4.615447605403435,
        4.6154666805376285,
        4.615485278793468,
        4.615504353927662,
        4.615523429061856,
        4.61554250419605,
        4.615561579330244,
        4.615580654464438,
        4.615599252720277,
        4.615618327854471,
        4.615637402988665,
        4.615656478122859,
        4.615675553257053,
        4.615694628391247,
        4.615713226647086,
        4.61573230178128,
        4.615751376915474,
        4.615770452049668,
        4.615789527183862,
        4.615808125439702,
        4.615827200573896,
        4.61584627570809,
        4.6158653508422836,
        4.6158844259764775,
        4.615903024232316,
        4.615922099366511,
        4.615941174500705,
        4.615960249634899,
        4.615978847890737,
        4.615997923024931,
        4.616016998159125,
        4.616036073293319,
        4.616054671549159,
        4.616073746683353,
        4.6160928218175465,
        4.6161118969517405,
        4.61613049520758,
        4.616149570341774,
        4.616168645475968,
        4.616187720610162,
        4.616206318866001,
        4.616225394000195,
        4.616244469134389,
        4.6162630673902285,
        4.6162821425244225,
        4.6163012176586165,
        4.61632029279281,
        4.616338891048649,
        4.616357966182844,
        4.616377041317038,
        4.616395639572876,
        4.61641471470707,
        4.616433789841264,
        4.616452388097104,
        4.6164714632312975,
        4.6164905383654915,
        4.616509136621331,
        4.616528211755525,
        4.616547286889719,
        4.616565885145558,
        4.616584960279752,
        4.616604035413946,
        4.6166226336697855,
        4.6166417088039795,
        4.6166607839381735,
        4.616679382194012,
        4.616698457328206,
        4.6167175324624,
        4.616736130718239,
        4.616755205852433,
        4.616774280986627,
        4.616792879242467,
        4.616811954376661,
        4.6168305526325,
        4.616849627766694,
        4.616868702900888,
        4.616887301156727,
        4.616906376290921,
        4.616925451425115,
        4.616944049680954,
        4.616963124815148,
        4.616981723070987,
        4.617000798205181,
        4.61701939646102,
        4.617038471595214,
        4.617057546729408,
        4.617076144985248,
        4.617095220119442,
        4.61711381837528,
        4.617132893509475,
        4.617151968643669,
        4.6171705668995076,
        4.6171896420337015,
        4.617208240289541,
        4.617227315423735,
        4.617245913679574,
        4.617264988813768,
        4.617283587069608,
        4.617302662203802,
        4.61732126045964,
        4.617340335593834,
        4.617359410728028,
        4.617378008983867,
        4.617397084118061,
        4.617415682373901,
        4.617434757508095,
        4.617453355763934,
        4.617472430898128,
        4.617491029153967,
        4.617510104288161,
        4.617528702544,
        4.617547777678194,
        4.617566375934033,
        4.617585451068227,
        4.617604049324067,
        4.617623124458261,
        4.6176417227141,
        4.617660797848294,
        4.6176793961041325,
        4.617697994359972,
        4.617717069494166,
        4.617735667750005,
        4.617754742884199,
        4.617773341140039,
        4.6177924162742325,
        4.617811014530071,
        4.617830089664265,
        4.617848687920104,
        4.617867763054298,
        4.617886361310138,
        4.618168196417854,
        4.618187271552048,
        4.618224468063726,
        4.61824354319792,
        4.6182621414537595,
        4.618280739709599,
        4.618299814843793,
        4.618318413099632,
        4.618337488233826,
        4.618356086489665,
        4.618374684745504,
        4.618393759879698,
        4.618412358135537,
        4.618430956391377,
        4.618450031525571,
        4.618468629781409,
        4.618487228037249,
        4.618506303171443,
        4.618524901427282,
        4.618543499683121,
        4.618562574817315,
        4.618581173073154,
        4.618599771328993,
        4.618618846463187,
        4.618637444719027,
        4.618656042974866,
        4.61867511810906,
        4.6186937163648984,
        4.618712314620738,
        4.618730912876577,
        4.618749988010771,
        4.618768586266611,
        4.618787184522449,
        4.618806259656643,
        4.618824857912482,
        4.618843456168322,
        4.618862054424161,
        4.618881129558355,
        4.618899727814194,
        4.618918326070033,
        4.618936924325872,
        4.618955999460066,
        4.618974597715906,
        4.618993195971744,
        4.619011794227584,
        4.619030869361778,
        4.619049467617617,
        4.619068065873456,
        4.619086664129295,
        4.619105739263489,
        4.619124337519328,
        4.619142935775168,
        4.619161534031007,
        4.619180609165201,
        4.6191992074210395,
        4.619217805676879,
        4.619236403932718,
        4.619255002188558,
        4.619274077322752,
        4.61929267557859,
        4.6193112738344295,
        4.619329872090269,
        4.619348470346108,
        4.619367545480302,
        4.619386143736141,
        4.61940474199198,
        4.6194233402478195,
        4.619441938503659,
        4.619460536759497,
        4.619479611893691,
        4.619498210149531,
        4.61951680840537,
        4.619535406661209,
        4.619554004917048,
        4.619572603172887,
        4.619591678307081,
        4.619610276562921,
        4.619628874818759,
        4.619647473074599,
        4.619666071330438,
        4.619684669586277,
        4.619703267842116,
        4.619721866097955,
        4.619740941232149,
        4.619759539487989,
        4.619778137743828,
        4.619796735999667,
        4.619815334255506,
        4.619833932511345,
        4.619852530767185,
        4.619871129023023,
        4.619889727278863,
        4.619908802413057,
        4.619927400668896,
        4.619945998924735,
        4.619964597180574,
        4.619983195436413,
        4.620001793692253,
        4.620020391948092,
        4.6200389902039305,
        4.62005758845977,
        4.620076186715609,
        4.620094784971448,
        4.620113383227287,
        4.6201319814831265,
        4.620150579738966,
        4.62016965487316,
        4.620188253128998,
        4.620206851384838,
        4.620225449640677,
        4.6202440478965165,
        4.620262646152355,
        4.620281244408194,
        4.620299842664034,
        4.620318440919873,
        4.620337039175712,
        4.620355637431551,
        4.6203742356873905,
        4.62039283394323,
        4.620411432199068,
        4.620430030454908,
        4.620448628710747,
        4.620467226966586,
        4.620485825222425,
        4.620504423478264,
        4.620523021734104,
        4.620541619989942,
        4.620560218245782,
        4.620578816501621,
        4.62059741475746,
        4.620616013013299,
        4.620634611269138,
        4.620653209524978,
        4.620671807780817,
        4.620690406036656,
        4.620709004292495,
        4.620727602548334,
        4.620745723925818,
        4.620764322181658,
        4.620782920437497,
        4.6208015186933356,
        4.620820116949175,
        4.620838715205014,
        4.620857313460854,
        4.620875911716692,
        4.620894509972532,
        4.620913108228371,
        4.62093170648421,
        4.620950304740049,
        4.620968902995888,
        4.620987501251728,
        4.6210056226292116,
        4.621024220885051,
        4.62104281914089,
        4.621061417396729,
        4.621080015652568,
        4.621098613908408,
        4.621117212164247,
        4.6211358104200855,
        4.621154408675925,
        4.62117253005341,
        4.621191128309248,
        4.6212097265650875,
        4.621228324820927,
        4.621246923076765,
        4.621265521332605,
        4.621284119588444,
        4.621302717844284,
        4.6213208392217675,
        4.621339437477607,
        4.621358035733446,
        4.621376633989285,
        4.621395232245124,
        4.6214138305009635,
        4.6214319518784475,
        4.621450550134287,
        4.621469148390126,
        4.621487746645965,
        4.621506344901804,
        4.6215249431576435,
        4.621543064535127,
        4.621561662790967,
        4.621580261046806,
        4.621598859302646,
        4.621617457558484,
        4.621635578935969,
        4.621654177191807,
        4.621672775447647,
        4.621691373703486,
        4.6217099719593255,
        4.6217280933368095,
        4.621746691592649,
        4.621765289848488,
        4.621783888104327,
        4.6218020094818115,
        4.62182060773765,
        4.621839205993489,
        4.621857804249329,
        4.621875925626813,
        4.621894523882652,
        4.6219131221384915,
        4.621931720394331,
        4.621949841771815,
        4.621968440027654,
        4.621987038283493,
        4.622005636539332,
        4.622023757916817,
        4.622042356172655,
        4.622060954428495,
        4.622079552684334,
        4.622097674061818,
        4.622116272317657,
        4.622134870573497,
        4.622152991950981,
        4.62217159020682,
        4.6221901884626595,
        4.622208786718498,
        4.622226908095983,
        4.622245506351822,
        4.622264104607661,
        4.6222822259851455,
        4.622300824240984,
        4.622319422496823,
        4.622337543874308,
        4.622356142130147,
        4.622374740385986,
        4.622392861763471,
        4.622411460019309,
        4.622430058275149,
        4.622448179652633,
        4.622466777908472,
        4.622485376164311,
        4.622503497541795,
        4.622522095797635,
        4.622540694053474,
        4.622558815430958,
        4.622577413686797,
        4.622596011942637,
        4.622614133320121,
        4.62263273157596,
        4.622650852953444,
        4.622724769098446,
        4.62274289047593,
        4.622761488731769,
        4.622780086987609,
        4.622798208365093,
        4.622816806620932,
        4.622834927998416,
        4.622853526254255,
        4.622872124510095,
        4.622890245887579,
        4.622908844143418,
        4.622926965520903,
        4.622945563776741,
        4.622964162032581,
        4.622982283410065,
        4.623000881665904,
        4.623019003043389,
        4.623037601299227,
        4.623055722676712,
        4.6230743209325516,
        4.6230924423100355,
        4.623111040565875,
        4.623129638821713,
        4.623147760199198,
        4.6231663584550375,
        4.6231844798325215,
        4.623203078088361,
        4.623221199465845,
        4.623239797721684,
        4.623257919099168,
        4.623276517355007,
        4.623294638732492,
        4.623313236988331,
        4.6233313583658155,
        4.623349956621654,
        4.623368077999139,
        4.623386676254978,
        4.623404797632462,
        4.6234233958883015,
        4.6234415172657854,
        4.623460115521625,
        4.623478236899109,
        4.623496835154948,
        4.623514956532433,
        4.623533554788271,
        4.623551676165756,
        4.623570274421595,
        4.6235883957990795,
        4.623606994054919,
        4.623625115432403,
        4.623643236809888,
        4.623661835065726,
        4.623679956443211,
        4.6236985546990494,
        4.623716676076534,
        4.623735274332374,
        4.6237533957098575,
        4.623771993965697,
        4.623790115343181,
        4.623808236720666,
        4.623826834976504,
        4.623844956353989,
        4.623863554609828,
        4.623881675987312,
        4.623900274243152,
        4.623918395620636,
        4.62393651699812,
        4.623955115253959,
        4.623973236631444,
        4.623991834887282,
        4.624009956264767,
        4.624028077642251,
        4.62404667589809,
        4.624064797275575,
        4.624082918653059,
        4.624101516908898,
        4.624119638286382,
        4.624138236542222,
        4.624156357919706,
        4.62417447929719,
        4.624193077553029,
        4.624211198930514,
        4.624229320307998,
        4.624247918563837,
        4.624266039941322,
        4.624284161318806,
        4.624302759574645,
        4.624320880952129,
        4.624339002329614,
        4.624357600585452,
        4.624375721962937,
        4.624393843340421,
        4.62441244159626,
        4.624430562973744,
        4.624448684351229,
        4.624467282607068,
        4.624485403984552,
        4.624503525362036,
        4.624522123617876,
        4.6245402449953605,
        4.6245583663728445,
        4.624576964628684,
        4.624595086006168,
        4.624613207383653,
        4.6246313287611365,
        4.624649927016976,
        4.62466804839446,
        4.624686169771945,
        4.624704768027783,
        4.624722889405268,
        4.624741010782752,
        4.624759132160237,
        4.624777730416075,
        4.62479585179356,
        4.624813973171044,
        4.624832094548529,
        4.624850692804367,
        4.624868814181852,
        4.624886935559336,
        4.624905056936821,
        4.624923655192659,
        4.624941776570144,
        4.624959897947628,
        4.624978019325113,
        4.624996140702597,
        4.625014738958436,
        4.62503286033592,
        4.625050981713405,
        4.625069103090889,
        4.625087701346728,
        4.625105822724212,
        4.625123944101697,
        4.625142065479181,
        4.625160186856665,
        4.625178785112504,
        4.625196906489989,
        4.625215027867473,
        4.625233149244957,
        4.625251270622441,
        4.625269391999926,
        4.625287990255765,
        4.6253061116332495,
        4.625324233010733,
        4.625342354388218,
        4.625360475765702,
        4.625378597143187,
        4.625397195399025,
        4.62541531677651,
        4.625433438153994,
        4.625451559531479,
        4.625469680908963,
        4.625487802286447,
        4.6255059236639315,
        4.625524521919771,
        4.625542643297255,
        4.625560764674739,
        4.625578886052224,
        4.6255970074297075,
        4.625615128807192,
        4.625633250184676,
        4.625651371562161,
        4.6259966314910725,
        4.6260147528685565,
        4.62603287424604,
        4.626050995623525,
        4.626069117001009,
        4.626087238378494,
        4.626105359755978,
        4.626123481133463,
        4.626177845265915,
        4.626195966643399,
        4.626504030060633,
        4.626522151438117,
        4.6265402728156015,
        4.6265583941930855,
        4.626576515570569,
        4.626594636948054,
        4.626612758325538,
        4.626630879703023,
        4.626649001080507,
        4.626667122457992,
        4.6266852438354755,
        4.626703365212959,
        4.626721486590444,
        4.626739607967928,
        4.6267572524670575,
        4.626775373844542,
        4.626793495222026,
        4.626811616599511,
        4.626829737976995,
        4.62684785935448,
        4.626865980731964,
        4.626884102109448,
        4.626902223486932,
        4.626920344864416,
        4.626938466241901,
        4.62695611074103,
        4.626974232118514,
        4.626992353495999,
        4.627010474873483,
        4.627028596250968,
        4.627046717628452,
        4.627064839005937,
        4.6270829603834205,
        4.62710060488255,
        4.627118726260035,
        4.6271368476375185,
        4.6271549690150025,
        4.627173090392487,
        4.627191211769971,
        4.627209333147456,
        4.627226977646585,
        4.627245099024069,
        4.627263220401554,
        4.627281341779038,
        4.627299463156523,
        4.627317584534007,
        4.627335229033136,
        4.627353350410621,
        4.627371471788105,
        4.627389593165589,
        4.627407714543073,
        4.627425359042203,
        4.627443480419687,
        4.6274616017971715,
        4.627479723174655,
        4.62749784455214,
        4.6275154890512695,
        4.627533610428753,
        4.627551731806238,
        4.627569853183722,
        4.627587974561207,
        4.627605619060336,
        4.62762374043782,
        4.627641861815305,
        4.627659983192789,
        4.627678104570274,
        4.627695749069403,
        4.627713870446887,
        4.627731991824372,
        4.627750113201856,
        4.627767757700985,
        4.62778587907847,
        4.627804000455954,
        4.627822121833438,
        4.627839766332568,
        4.627857887710052,
        4.627876009087536,
        4.627893653586666,
        4.62791177496415,
        4.627929896341634,
        4.627948017719119,
        4.627965662218248,
        4.627983783595732,
        4.628001904973217,
        4.628019549472346,
        4.62803767084983,
        4.628055792227315,
        4.628073913604799,
        4.628091558103928,
        4.628109679481413,
        4.628127800858897,
        4.628145445358026,
        4.628163566735511,
        4.628181688112995,
        4.628199332612124,
        4.628217453989609,
        4.628235575367093,
        4.628253219866222,
        4.628271341243707,
        4.628289462621191,
        4.62830710712032,
        4.628325228497805,
        4.628343349875289,
        4.628360994374418,
        4.628379115751903,
        4.628397237129387,
        4.628414881628516,
        4.628433003006001,
        4.628451124383485,
        4.628468768882614,
        4.628486890260099,
        4.628504534759228,
        4.628522656136712,
        4.628540777514197,
        4.6285584220133265,
        4.62857654339081,
        4.628594664768295,
        4.6286123092674245,
        4.628630430644908,
        4.628648075144039,
        4.628666196521523,
        4.6286843178990065,
        4.628701962398137,
        4.628720083775621,
        4.62873772827475,
        4.628755849652235,
        4.628773494151364,
        4.628791615528848,
        4.628809736906333,
        4.628827381405462,
        4.628845502782946,
        4.628863147282075,
        4.62888126865956,
        4.6288989131586895,
        4.628917034536173,
        4.628935155913658,
        4.628952800412788,
        4.6289709217902715,
        4.628988566289401,
        4.629006687666886,
        4.629024332166015,
        4.629042453543499,
        4.629060098042629,
        4.629078219420113,
        4.629095863919242,
        4.629113985296727,
        4.6291316297958565,
        4.62914975117334,
        4.62916739567247,
        4.6291855170499545,
        4.629203161549084,
        4.629221282926568,
        4.629238927425697,
        4.629257048803182,
        4.629274693302311,
        4.629292814679795,
        4.629310459178925,
        4.629328580556409,
        4.629346225055539,
        4.629364346433023,
        4.629381990932153,
        4.629400112309637,
        4.629417756808766,
        4.629435878186251,
        4.62945352268538,
        4.629471644062864,
        4.629489288561993,
        4.629507409939478,
        4.6295250544386075,
        4.629543175816091,
        4.629560820315221,
        4.629578464814351,
        4.629596586191835,
        4.629614230690964,
        4.629632352068449,
        4.629649996567578,
        4.629668117945062,
        4.629685762444192,
        4.629703406943321,
        4.629721528320806,
        4.629739172819935,
        4.629757294197419,
        4.629774938696549,
        4.629793060074033,
        4.6298107045731625,
        4.629828349072292,
        4.629846470449777,
        4.629864114948906,
        4.629881759448035,
        4.629899880825519,
        4.629917525324649,
        4.629935646702133,
        4.629953291201263,
        4.629970935700392,
        4.629989057077877,
        4.630006701577006,
        4.63002482295449,
        4.630042467453619,
        4.63006011195275,
        4.6300782333302335,
        4.630095877829363,
        4.630113522328492,
        4.630131643705977,
        4.630149288205106,
        4.630166932704236,
        4.6301850540817195,
        4.63020269858085,
        4.630220343079979,
        4.630238464457463,
        4.630256108956592,
        4.630273753455722,
        4.6302918748332065,
        4.630309519332336,
        4.630327163831465,
        4.630345285208949,
        4.630362929708079,
        4.630380574207209,
        4.6303986955846925,
        4.630416340083822,
        4.630433984582951,
        4.630451629082081,
        4.630469750459565,
        4.630487394958695,
        4.630505039457824,
        4.630523160835309,
        4.630540805334438,
        4.6305584498335675,
        4.630576094332697,
        4.630594215710182,
        4.630611860209311,
        4.63062950470844,
        4.63064714920757,
        4.6306652705850535,
        4.630682915084184,
        4.630700559583313,
        4.630718204082442,
        4.630736325459926,
        4.630753969959056,
        4.630771614458186,
        4.630789258957315,
        4.630807380334799,
        4.630825024833928,
        4.630842669333058,
        4.630860313832187,
        4.630878435209672,
        4.630896079708801,
        4.630913724207931,
        4.63093136870706,
        4.630949013206189,
        4.630967134583674,
        4.630984779082803,
        4.631002423581933,
        4.631020068081062,
        4.631037712580191,
        4.631055833957676,
        4.6310734784568055,
        4.631091122955935,
        4.631108767455064,
        4.6311264119541935,
        4.631144533331678,
        4.631162177830808,
        4.631179822329937,
        4.631197466829066,
        4.631215111328196,
        4.631232755827325,
        4.63125087720481,
        4.631268521703939,
        4.631286166203068,
        4.631303810702198,
        4.631321455201327,
        4.631339099700457,
        4.631356744199587,
        4.631374865577071,
        4.6313925100762,
        4.631410154575329,
        4.6314277990744595,
        4.631445443573589,
        4.631463088072718,
        4.6314807325718474,
        4.631498377070977,
        4.631516498448462,
        4.631534142947591,
        4.63155178744672,
        4.63156943194585,
        4.631587076444979,
        4.631604720944108,
        4.631622365443238,
        4.631640009942367,
        4.631657654441497,
        4.6316752989406265,
        4.63169342031811,
        4.63171106481724,
        4.631728709316369,
        4.631746353815499,
        4.631763998314629,
        4.631781642813758,
        4.631799287312887,
        4.631816931812017,
        4.631834576311146,
        4.631852220810275,
        4.631869865309405,
        4.631887509808535,
        4.631905154307664,
        4.6319227988067935,
        4.631940443305923,
        4.631958087805052,
        4.6319757323041815,
        4.631993376803311,
        4.632011021302441,
        4.632029142679925,
        4.632046787179054,
        4.632064431678184,
        4.632082076177313,
        4.632099720676443,
        4.6321173651755725,
        4.632135009674702,
        4.632152654173831,
        4.6321702986729605,
        4.63218794317209,
        4.632205587671219,
        4.6322232321703485,
        4.632240876669479,
        4.632258521168608,
        4.632276165667737,
        4.632293810166867,
        4.632311454665996,
        4.632328622286771,
        4.6323462667859,
        4.6323639112850294,
        4.632381555784159,
        4.632399200283289,
        4.632416844782418,
        4.632434489281548,
        4.632452133780677,
        4.632469778279806,
        4.632487422778936,
        4.632505067278065,
        4.632522711777194,
        4.6325403562763245,
        4.632558000775454,
        4.632575645274583,
        4.6325932897737125,
        4.632610934272842,
        4.632628578771971,
        4.6326462232711005,
        4.632663390891875,
        4.632681035391005,
        4.632698679890134,
        4.632716324389264,
        4.6327339688883935,
        4.632751613387523,
        4.632769257886652,
        4.6327869023857815,
        4.632804546884911,
        4.63282219138404,
        4.632839359004815,
        4.632857003503944,
        4.6328746480030745,
        4.632892292502204,
        4.632909937001333,
        4.6329275815004625,
        4.632945225999592,
        4.632962870498721,
        4.632980038119496,
        4.632997682618625,
        4.6330153271177545,
        4.633032971616884,
        4.633050616116014,
        4.633068260615143,
        4.633085905114273,
        4.6331030727350475,
        4.633120717234177,
        4.633138361733306,
        4.6331560062324355,
        4.633173650731565,
        4.633191295230694,
        4.633208462851469,
        4.633226107350598,
        4.633243751849728,
        4.633261396348858,
        4.633279040847987,
        4.633296208468762,
        4.633313852967891,
        4.6333314974670206,
        4.63334914196615,
        4.633366786465279,
        4.6333844309644086,
        4.633401598585183,
        4.633419243084313,
        4.633436887583442,
        4.633454532082571,
        4.633471699703346,
        4.633489344202475,
        4.633506988701606,
        4.633839849793291,
        4.63385749429242,
        4.6338751387915496,
        4.633892306412324,
        4.633909950911454,
        4.633927595410583,
        4.633944763031358,
        4.633962407530487,
        4.633980052029616,
        4.633997219650391,
        4.6340148641495205,
        4.63403250864865,
        4.634050153147779,
        4.634067320768554,
        4.634084965267683,
        4.6341026097668125,
        4.634119777387587,
        4.634137421886717,
        4.634155066385846,
        4.634172234006621,
        4.63418987850575,
        4.63420752300488,
        4.634224690625654,
        4.634242335124784,
        4.634259502745558,
        4.6342771472446875,
        4.634294791743818,
        4.634311959364592,
        4.634329603863722,
        4.634347248362851,
        4.634364415983626,
        4.634382060482755,
        4.634399704981885,
        4.634416872602659,
        4.634434517101789,
        4.634451684722563,
        4.634469329221693,
        4.634486973720822,
        4.634504141341597,
        4.634521785840726,
        4.634538953461501,
        4.63455659796063,
        4.63457424245976,
        4.634591410080534,
        4.634609054579664,
        4.634626222200438,
        4.634643866699568,
        4.634661511198697,
        4.634678678819472,
        4.634696323318601,
        4.634713490939376,
        4.634731135438505,
        4.63474830305928,
        4.634765947558409,
        4.634783115179184,
        4.634800759678313,
        4.634818404177443,
        4.6348355717982175,
        4.634853216297347,
        4.634870383918122,
        4.634888028417251,
        4.634905196038026,
        4.634922840537155,
        4.63494000815793,
        4.634957652657059,
        4.634974820277834,
        4.634992464776963,
        4.635009632397738,
        4.635027276896867,
        4.6350449213959966,
        4.635062089016771,
        4.635079733515901,
        4.635096901136675,
        4.635114545635805,
        4.6351317132565795,
        4.635149357755709,
        4.6351665253764835,
        4.635184169875613,
        4.635201337496388,
        4.6352185051171615,
        4.635236149616292,
        4.635253317237066,
        4.635270961736196,
        4.63528812935697,
        4.6353057738561,
        4.635322941476874,
        4.635340585976004,
        4.635357753596778,
        4.635375398095907,
        4.635392565716682,
        4.635410210215811,
        4.635427377836586,
        4.635445022335715,
        4.63546218995649,
        4.635479357577265,
        4.635497002076394,
        4.635514169697169,
        4.635531814196298,
        4.635548981817073,
        4.635566626316202,
        4.635583793936977,
        4.635600961557752,
        4.635618606056881,
        4.635635773677656,
        4.635653418176785,
        4.63567058579756,
        4.635687753418335,
        4.635705397917464,
        4.635722565538239,
        4.635740210037368,
        4.635757377658143,
        4.635774545278917,
        4.635792189778046,
        4.635809357398821,
        4.63582700189795,
        4.635844169518725,
        4.6358613371395,
        4.635878981638629,
        4.635896149259404,
        4.637399031394714,
        4.638971537769832,
        4.638992043539091,
        4.639013026186704,
        4.639033531955962,
        4.639054037725221,
        4.63907454349448,
        4.639095526142093,
        4.639116031911351,
        4.63913653768061,
        4.639157520328223,
        4.639178026097482,
        4.63919853186674,
        4.639219037635999,
        4.639240020283612,
        4.639260526052871,
        4.639281031822129,
        4.639301537591388,
        4.639322520239001,
        4.63934302600826,
        4.639363531777518,
        4.639384037546777,
        4.63940502019439,
        4.639425525963649,
        4.639446031732907,
        4.639466537502166,
        4.639487520149779,
        4.639508025919038,
        4.639528531688296,
        4.639549037457555,
        4.639569543226814,
        4.639590525874427,
        4.639611031643685,
        4.639631537412944,
        4.639652043182203,
        4.639672548951461,
        4.639693531599074,
        4.639714037368333,
        4.639734543137592,
        4.63975504890685,
        4.639775554676109,
        4.639796060445367,
        4.639817043092981,
        4.639837548862239,
        4.639858054631498,
        4.639878560400756,
        4.639899066170015,
        4.639919571939274,
        4.639940077708532,
        4.639961060356145,
        4.639981566125404,
        4.640002071894663,
        4.640022577663921,
        4.64004308343318,
        4.640063589202438,
        4.640084094971697,
        4.640104600740956,
        4.640125583388569,
        4.6401460891578274,
        4.640166594927086,
        4.640187100696345,
        4.640207606465603,
        4.640228112234862,
        4.64024861800412,
        4.640269123773378,
        4.640289629542637,
        4.640310135311895,
        4.640330641081154,
        4.640351623728767,
        4.640372129498026,
        4.640392635267284,
        4.640413141036543,
        4.640433646805802,
        4.64045415257506,
        4.640474658344319,
        4.640495164113577,
        4.640515669882836,
        4.640536175652095,
        4.640556681421353,
        4.640577187190612,
        4.6405976929598705,
        4.640618198729129,
        4.640638704498388,
        4.640659210267646,
        4.640679716036904,
        4.640700221806163,
        4.640720727575421,
        4.64074123334468,
        4.640761739113938,
        4.640782244883197,
        4.640802750652456,
        4.640823256421714,
        4.640843762190973,
        4.640864267960231,
        4.64088477372949,
        4.640905279498749,
        4.640925785268007,
        4.640946291037266,
        4.6409667968065245,
        4.640987302575783,
        4.641007808345042,
        4.641028314114299,
        4.641048819883558,
        4.641069325652817,
        4.641089831422075,
        4.641110337191334,
        4.641130842960592,
        4.641150871851496,
        4.641171377620755,
        4.641191883390014,
        4.641212389159272,
        4.641232894928531,
        4.641253400697789,
        4.641273906467047,
        4.641294412236306,
        4.641314918005564,
        4.641335423774823,
        4.641355929544082,
        4.641375958434986,
        4.641396464204244,
        4.641416969973503,
        4.641437475742761,
        4.64145798151202,
        4.641478487281279,
        4.641785120063447,
        4.641805148954351,
        4.641825654723609,
        4.641846160492868,
        4.641866666262126,
        4.641887172031384,
        4.641907200922288,
        4.641927706691547,
        4.641948212460806,
        4.641968718230064,
        4.641989223999323,
        4.642009252890226,
        4.6420297586594845,
        4.642050264428743,
        4.642070770198002,
        4.642090799088906,
        4.642111304858164,
        4.642131810627423,
        4.642152316396682,
        4.642172345287585,
        4.642192851056843,
        4.642213356826102,
        4.6422338625953605,
        4.6422538914862645,
        4.642274397255523,
        4.642294903024782,
        4.64231540879404,
        4.6423354376849435,
        4.642355943454202,
        4.642376449223461,
        4.642396954992719,
        4.642416983883623,
        4.642437489652882,
        4.6424579954221405,
        4.642478024313044,
        4.642498530082302,
        4.642519035851561,
        4.642539064742465,
        4.6425595705117235,
        4.642580076280982,
        4.642600582050241,
        4.642620610941144,
        4.6426411167104025,
        4.642661622479661,
        4.642681651370565,
        4.642702157139824,
        4.642722662909082,
        4.642742691799985,
        4.642763197569244,
        4.642783226460148,
        4.642803732229407,
        4.642824237998665,
        4.642844266889568,
        4.642864772658827,
        4.642885278428086,
        4.64290530731899,
        4.642925813088248,
        4.642946318857507,
        4.64296634774841,
        4.642986853517669,
        4.643006882408573,
        4.643027388177831,
        4.64304789394709,
        4.643067922837993,
        4.643088428607252,
        4.643108457498156,
        4.643128963267414,
        4.643149469036673,
        4.643169497927577,
        4.6431900036968345,
        4.643210032587739,
        4.643230538356997,
        4.643250567247901,
        4.64327107301716,
        4.643291578786418,
        4.6433116076773215,
        4.64333211344658,
        4.643352142337484,
        4.643372648106743,
        4.643392676997646,
        4.6434131827669045,
        4.6434332116578085,
        4.643453717427067,
        4.643473746317971,
        4.643494252087229,
        4.643514280978133,
        4.6435347867473915,
        4.6435548156382955,
        4.643575321407554,
        4.643595350298457,
        4.643615856067716,
        4.64363588495862,
        4.6436563907278785,
        4.643676419618782,
        4.64369692538804,
        4.643716954278944,
        4.643737460048203,
        4.643757488939107,
        4.643777994708365,
        4.643798023599269,
        4.643818529368527,
        4.643838558259431,
        4.64385906402869,
        4.643879092919593,
        4.643899598688852,
        4.643919627579756,
        4.643940133349014,
        4.643960162239917,
        4.643980191130821,
        4.64400069690008,
        4.644020725790984,
        4.644041231560243,
        4.644061260451146,
        4.644081766220404,
        4.644101795111308,
        4.6441218240022115,
        4.64414232977147,
        4.644162358662374,
        4.644182864431633,
        4.644202893322537,
        4.64422292221344,
        4.6442434279826985,
        4.6442634568736025,
        4.644283962642861,
        4.644303991533764,
        4.644324020424668,
        4.644344526193927,
        4.644364555084831,
        4.6443850608540895,
        4.644405089744993,
        4.644425118635897,
        4.644445624405155,
        4.644465653296058,
        4.6444856821869624,
        4.644506187956221,
        4.644526216847125,
        4.644546245738028,
        4.644566751507287,
        4.644586780398191,
        4.644606809289094,
        4.644627315058353,
        4.644647343949257,
        4.644667372840161,
        4.644687878609419,
        4.644707907500322,
        4.644727936391226,
        4.644748442160485,
        4.644768471051388,
        4.644788499942292,
        4.644809005711551,
        4.644829034602455,
        4.644849063493358,
        4.644869092384262,
        4.6448895981535205,
        4.644909627044425,
        4.644929655935328,
        4.644949684826232,
        4.64497019059549,
        4.6449902194863935,
        4.6450102483772975,
        4.645030754146556,
        4.64505078303746,
        4.645070811928363,
        4.645090840819267,
        4.645111346588526,
        4.645131375479429,
        4.645151404370333,
        4.645171433261237,
        4.64519146215214,
        4.645211967921399,
        4.645231996812303,
        4.645252025703207,
        4.64527205459411,
        4.645292560363369,
        4.645312589254273,
        4.645332618145176,
        4.64535264703608,
        4.645372675926984,
        4.645393181696242,
        4.6454132105871455,
        4.6454332394780495,
        4.645453268368954,
        4.645473297259857,
        4.645493803029115,
        4.645513831920019,
        4.6455338608109225,
        4.6455538897018265,
        4.6455739185927305,
        4.645593947483634,
        4.645614453252892,
        4.645634482143796,
        4.6456545110347,
        4.645674539925603,
        4.645694568816507,
        4.645714597707411,
        4.645734626598315,
        4.645755132367573,
        4.645775161258477,
        4.64579519014938,
        4.645815219040284,
        4.645835247931188,
        4.6458552768220915,
        4.645875305712996,
        4.6458953346039,
        4.646156187064002,
        4.646176692833261,
        4.646196721724165,
        4.646216750615068,
        4.646236779505972,
        4.646256808396876,
        4.646276837287779,
        4.646296866178683,
        4.646316895069587,
        4.64633692396049,
        4.646356952851394,
        4.646376981742297,
        4.646397010633201,
        4.646417039524105,
        4.6464370684150085,
        4.6464570973059125,
        4.6464771261968165,
        4.64649715508772,
        4.646517183978624,
        4.646537212869528,
        4.646557241760431,
        4.646577270651335,
        4.646597299542238,
        4.646617328433142,
        4.646637357324046,
        4.646657386214949,
        4.646677415105853,
        4.646697443996757,
        4.64671747288766,
        4.646737501778564,
        4.646757530669468,
        4.6467775595603715,
        4.6467975884512756,
        4.646817617342179,
        4.646837646233083,
        4.646857675123987,
        4.646877227136535,
        4.646897256027439,
        4.646917284918342,
        4.6469373138092465,
        4.6469573427001505,
        4.646977371591054,
        4.646997400481958,
        4.647017429372862,
        4.647037458263765,
        4.647057487154669,
        4.647077516045572,
        4.647097544936476,
        4.6471170969490245,
        4.6471371258399286,
        4.647157154730833,
        4.647177183621736,
        4.64719721251264,
        4.647217241403544,
        4.647237270294447,
        4.647257299185351,
        4.647277328076255,
        4.6472968800888035,
        4.6473169089797075,
        4.647336937870611,
        4.647356966761515,
        4.647376995652418,
        4.647397024543322,
        4.647417053434226,
        4.647436605446774,
        4.647456634337678,
        4.6474766632285816,
        4.647496692119486,
        4.64751672101039,
        4.647536749901293,
        4.647556301913842,
        4.647576330804745,
        4.647596359695649,
        4.647616388586553,
        4.6476364174774565,
        4.647655969490005,
        4.647675998380909,
        4.647696027271813,
        4.647716056162716,
        4.64773608505362,
        4.647755637066169,
        4.647775665957073,
        4.647795694847977,
        4.64781572373888,
        4.647835275751429,
        4.6478553046423325,
        4.647875333533237,
        4.647895362424141,
        4.647915391315044,
        4.647934943327593,
        4.647954972218496,
        4.6479750011094,
        4.6479950300003035,
        4.648014582012853,
        4.648034610903756,
        4.64805463979466,
        4.648074191807209,
        4.648094220698113,
        4.648114249589017,
        4.64813427847992,
        4.648153830492469,
        4.648173859383372,
        4.648193888274276,
        4.64821391716518,
        4.648233469177729,
        4.648253498068633,
        4.648273526959536,
        4.648293078972085,
        4.648313107862989,
        4.648333136753893,
        4.648352688766441,
        4.648372717657345,
        4.648392746548248,
        4.648412298560798,
        4.648432327451701,
        4.648452356342605,
        4.648471908355154,
        4.648491937246058,
        4.648511966136962,
        4.64853151814951,
        4.648551547040414,
        4.648571575931317,
        4.648591127943867,
        4.64861115683477,
        4.648631185725674,
        4.6486507377382225,
        4.6486707666291265,
        4.648690318641675,
        4.648710347532579,
        4.648730376423482,
        4.648749928436032,
        4.648769957326935,
        4.648789986217839,
        4.648809538230387,
        4.648829567121291,
        4.64884911913384,
        4.648869148024744,
        4.648889176915648,
        4.6489087289281965,
        4.6489287578191005,
        4.648948309831649,
        4.648968338722553,
        4.648987890735102,
        4.649007919626006,
        4.649027948516909,
        4.649047500529458,
        4.649067529420361,
        4.649087081432911,
        4.649107110323814,
        4.6491266623363625,
        4.6491466912272665,
        4.649166243239815,
        4.649186272130719,
        4.649206301021623,
        4.649225853034172,
        4.649245881925076,
        4.649265433937624,
        4.649285462828528,
        4.649305014841077,
        4.649325043731981,
        4.649344595744529,
        4.649364624635433,
        4.649384176647982,
        4.649404205538886,
        4.6494237575514346,
        4.649443786442339,
        4.649463338454887,
        4.649483367345791,
        4.64950291935834,
        4.649522948249244,
        4.649542500261792,
        4.649562529152696,
        4.649582081165245,
        4.649779985682508,
        4.649799537695056,
        4.649819089707605,
        4.649839118598509,
        4.649858670611057,
        4.649878699501961,
        4.64989825151451,
        4.649918280405414,
        4.6499378324179625,
        4.649957384430512,
        4.649977413321415,
        4.649996965333965,
        4.650016994224868,
        4.650036546237417,
        4.650056098249966,
        4.65007612714087,
        4.650095679153418,
        4.650115708044322,
        4.650135260056871,
        4.650154812069419,
        4.650174840960323,
        4.650194392972872,
        4.650213944985421,
        4.6502339738763245,
        4.650253525888874,
        4.6502730779014225,
        4.6502931067923265,
        4.650312658804875,
        4.650332687695778,
        4.650352239708328,
        4.650371791720876,
        4.65039182061178,
        4.650411372624329,
        4.650430924636877,
        4.650450476649427,
        4.65047050554033,
        4.650490057552879,
        4.650509609565428,
        4.650529638456332,
        4.6505491904688805,
        4.650568742481429,
        4.650588771372333,
        4.650608323384882,
        4.650627875397431,
        4.650647904288334,
        4.650667456300884,
        4.650687008313432,
        4.650706560325981,
        4.650726589216885,
        4.650746141229433,
        4.650765693241983,
        4.650785245254531,
        4.650805274145435,
        4.650824826157984,
        4.650844378170532,
        4.650863930183082,
        4.650883959073985,
        4.650903511086534,
        4.650923063099083,
        4.6509426151116315,
        4.650962644002536,
        4.650982196015084,
        4.6510017480276336,
        4.651021300040182,
        4.651041328931086,
        4.651060880943635,
        4.651080432956183,
        4.651099984968733,
        4.651119536981281,
        4.651139565872185,
        4.651159117884734,
        4.651178669897282,
        4.651198221909832,
        4.65121777392238,
        4.651237802813284,
        4.651257354825833,
        4.6512769068383815,
        4.651296458850931,
        4.6513160108634795,
        4.651335562876028,
        4.651355591766932,
        4.651375143779481,
        4.65139469579203,
        4.651414247804579,
        4.651433799817127,
        4.651453351829677,
        4.65147338072058,
        4.651492932733129,
        4.651512484745678,
        4.651532036758226,
        4.651551588770776,
        4.651571140783324,
        4.651590692795873,
        4.651610244808422,
        4.651630273699325,
        4.651649825711875,
        4.651669377724423,
        4.651688929736972,
        4.651708481749521,
        4.65172803376207,
        4.651747585774618,
        4.651767137787168,
        4.651786689799716,
        4.6518067186906205,
        4.651826270703169,
        4.651845822715718,
        4.651865374728267,
        4.6518849267408156,
        4.651904478753364,
        4.6519240307659135,
        4.651943582778462,
        4.651963134791011,
        4.65198268680356,
        4.652002238816109,
        4.652021790828657,
        4.652041342841207,
        4.652060894853755,
        4.652080446866304,
        4.652099998878853,
        4.652119550891402,
        4.652139579782306,
        4.652159131794854,
        4.652178683807403,
        4.652198235819952,
        4.652217787832501,
        4.652237339845049,
        4.652256891857599,
        4.652276443870147,
        4.652295995882696,
        4.652315547895245,
        4.652335099907794,
        4.6523546519203425,
        4.652374203932892,
        4.6523937559454405,
        4.652413307957989,
        4.6524328599705385,
        4.652452411983087,
        4.652471963995636,
        4.6524910391298295,
        4.652510591142379,
        4.6525301431549275,
        4.652549695167476,
        4.6525692471800255,
        4.652588799192574,
        4.652608351205123,
        4.652627903217672,
        4.652647455230221,
        4.652667007242769,
        4.652686559255319,
        4.652706111267867,
        4.652725663280416,
        4.652745215292965,
        4.652764767305514,
        4.652784319318062,
        4.652803871330612,
        4.652822946464806,
        4.652842498477354,
        4.652862050489904,
        4.652881602502452,
        4.652901154515001,
        4.65292070652755,
        4.652940258540099,
        4.652959810552647,
        4.652979362565197,
        4.652998914577745,
        4.653017989711939,
        4.653037541724488,
        4.653057093737037,
        4.653076645749586,
        4.653096197762134,
        4.653115749774684,
        4.653135301787232,
        4.653154376921426,
        4.653173928933975,
        4.653193480946524,
        4.653213032959073,
        4.653232584971621,
        4.653252136984171,
        4.653271688996719,
        4.653290764130913,
        4.653310316143462,
        4.653329868156011,
        4.65334942016856,
        4.6533689721811085,
        4.653388524193658,
        4.653407599327852,
        4.6534271513404,
        4.653446703352949,
        4.653466255365498,
        4.653485807378047,
        4.653504882512241,
        4.6535244345247895,
        4.653543986537339,
        4.6535635385498875,
        4.653582613684081,
        4.653602165696631,
        4.653621717709179,
        4.653641269721728,
        4.653660821734277,
        4.653679896868471,
        4.65369944888102,
        4.6537190008935685,
        4.653738552906118,
        4.653757628040312,
        4.6537771800528605,
        4.653796732065409,
        4.653816284077958,
        4.653835359212152,
        4.653854911224701,
        4.6538744632372495,
        4.653894015249799,
        4.653913090383993,
        4.6539326423965415,
        4.65395219440909,
        4.653971269543284,
        4.653990821555833,
        4.654010373568382,
        4.6540299255809305,
        4.6540490007151245,
        4.654068552727674,
        4.6540881047402225,
        4.6541071798744165,
        4.654126731886966,
        4.6541462838995145,
        4.654165359033708,
        4.654184911046257,
        4.654204463058806,
        4.654223538193,
        4.654243090205549,
        4.6542626422180975,
        4.6542817173522915,
        4.654301269364841,
        4.6543208213773894,
        4.654339896511583,
        4.654359448524132,
        4.654379000536681,
        4.654398075670875,
        4.654417627683424,
        4.6544371796959725,
        4.6544562548301665,
        4.654475806842716,
        4.654495358855264,
        4.654514433989458,
        4.654533986002007,
        4.654553061136202,
        4.65457261314875,
        4.654592165161299,
        4.654611240295493,
        4.654630792308042,
        4.654649867442236,
        4.654669419454785,
        4.654688971467333,
        4.654708046601527,
        4.654727598614077,
        4.654746673748271,
        4.654766225760819,
        4.654785300895013,
        4.654804852907562,
        4.654824404920111,
        4.654843480054305,
        4.654863032066854,
        4.654882107201048,
        4.654901659213596,
        4.654920734347791,
        4.65494028636034,
        4.654959838372888,
        4.654978913507082,
        4.654998465519632,
        4.655017540653826,
        4.655037092666374,
        4.655056167800568,
        4.655075719813117,
        4.655094794947311,
        4.65511434695986,
        4.655133422094054,
        4.655152974106603,
        4.655172049240797,
        4.655191601253345,
        4.655210676387539,
        4.655230228400089,
        4.655249303534283,
        4.655268855546831,
        4.655287930681025,
        4.6553074826935745,
        4.6553265578277685,
        4.655346109840317,
        4.655365184974511,
        4.65538473698706,
        4.6554038121212535,
        4.655423364133803,
        4.655442439267997,
        4.6554619912805455,
        4.6554810664147395,
        4.655500141548933,
        4.655519693561482,
        4.655538768695677,
        4.655558320708225,
        4.655577395842419,
        4.655596947854968,
        4.655616022989162,
        4.655635575001711,
        4.655654650135905,
        4.655673725270099,
        4.655693277282648,
        4.655712352416842,
        4.65573190442939,
        4.655750979563584,
        4.655770054697778,
        4.655789606710328,
        4.655808681844522,
        4.65582823385707,
        4.655847308991264,
        4.655866384125458,
        4.655885936138008,
        4.655905011272202,
        4.65592456328475,
        4.655943638418944,
        4.655962713553138,
        4.655982265565687,
        4.656001340699881,
        4.6560204158340746,
        4.656039967846624,
        4.656059042980818,
        4.6560785949933665,
        4.6560976701275605,
        4.6561167452617545,
        4.656136297274304,
        4.656155372408498,
        4.656174447542692,
        4.65619399955524,
        4.656213074689434,
        4.656232149823628,
        4.656251701836177,
        4.656270776970371,
        4.656289852104565,
        4.656309404117114,
        4.656328479251308,
        4.656347554385502,
        4.656366629519696,
        4.656386181532245,
        4.656405256666439,
        4.656424331800633,
        4.656443883813182,
        4.656462958947376,
        4.65648203408157,
        4.656501109215764,
        4.6565206612283125,
        4.6565397363625065,
        4.6565588114967005,
        4.656578363509249,
        4.656597438643444,
        4.656616513777638,
        4.656635588911832,
        4.65665514092438,
        4.656674216058574,
        4.656693291192768,
        4.656712366326962,
        4.656731918339511,
        4.656750993473705,
        4.656770068607899,
        4.656789143742093,
        4.656808695754642,
        4.656827770888836,
        4.65684684602303,
        4.656865921157224,
        4.656884996291418,
        4.656904548303967,
        4.656923623438161,
        4.6569426985723545,
        4.6569617737065485,
        4.6569808488407425,
        4.657000400853292,
        4.657019475987486,
        4.65703855112168,
        4.657057626255874,
        4.657076701390068,
        4.657096253402616,
        4.65711532853681,
        4.657134403671004,
        4.657172553939392,
        4.65723025622033,
        4.657249331354524,
        4.6572684064887175,
        4.6572874816229115,
        4.6573065567571055,
        4.6573256318912994,
        4.657345183903848,
        4.657383334172236,
        4.65740240930643,
        4.657421484440624,
        4.657440559574819,
        4.657459634709013,
        4.657478709843207,
        4.657498261855755,
        4.657517336989949,
        4.657536412124143,
        4.657555487258337,
        4.657574562392531,
        4.657593637526725,
        4.657612712660919,
        4.657631787795113,
        4.657650862929307,
        4.657669938063501,
        4.65768949007605,
        4.657708565210244,
        4.657727640344438,
        4.657746715478632,
        4.657765790612826,
        4.65778486574702,
        4.657803940881214,
        4.657823016015408,
        4.657842091149602,
        4.657956541954766,
        4.65797561708896,
        4.657994692223154,
        4.658013767357348,
        4.658032842491542,
        4.658051917625736,
        4.65807099275993,
        4.658090067894124,
        4.658109143028318,
        4.658128218162512,
        4.658147293296706,
        4.6581663684309005,
        4.6581854435650945,
        4.658204518699288,
        4.658223593833482,
        4.658242668967676,
        4.65826174410187,
        4.658280819236064,
        4.658299894370258,
        4.658318969504452,
        4.658338044638646,
        4.65835711977284,
        4.658376194907034,
        4.658395270041228,
        4.658414345175422,
        4.658433420309616,
        4.65845249544381,
        4.658471570578004,
        4.658490645712198,
        4.658509720846392,
        4.658528795980586,
        4.65854787111478,
        4.658566946248974,
        4.658586021383168,
        4.658604619639007,
        4.658623694773201,
        4.658642769907395,
        4.658661845041589,
        4.658680920175783,
        4.658699995309977,
        4.658719070444171,
        4.658738145578365,
        4.658757220712559,
        4.658776295846753,
        4.658794894102592,
        4.658813969236786,
        4.65883304437098,
        4.658852119505174,
        4.658871194639368,
        4.658890269773562,
        4.658909344907756,
        4.65892842004195,
        4.6589470182977895,
        4.658966093431983,
        4.658985168566177,
        4.659004243700371,
        4.659023318834565,
        4.659042393968759,
        4.659061469102953,
        4.659080067358793,
        4.659099142492987,
        4.659118217627181,
        4.659137292761375,
        4.6591563678955685,
        4.6591754430297625,
        4.659194041285602,
        4.659213116419796,
        4.65923219155399,
        4.659251266688184,
        4.659270341822378,
        4.659288940078217,
        4.659308015212411,
        4.659327090346605,
        4.659346165480799,
        4.659365240614993,
        4.659383838870832,
        4.659402914005026,
        4.65942198913922,
        4.659441064273414,
        4.659460139407608,
        4.659478737663448,
        4.659497812797642,
        4.659516887931836,
        4.65953596306603,
        4.659554561321868,
        4.659573636456062,
        4.659592711590257,
        4.659611786724451,
        4.659630384980289,
        4.659649460114483,
        4.659668535248677,
        4.659687610382871,
        4.659706208638711,
        4.659725283772905,
        4.659744358907099,
        4.659762957162938,
        4.659782032297132,
        4.659801107431326,
        4.65982018256552,
        4.659838780821359,
        4.659857855955553,
        4.659876931089747,
        4.659895529345587,
        4.659914604479781,
        4.6599336796139745,
        4.6599527547481685,
        4.659971353004007,
        4.659990428138201,
        4.660009503272396,
        4.660028101528234,
        4.660047176662428,
        4.660066251796622,
        4.660084850052462,
        4.660103925186656,
        4.66012300032085,
        4.660141598576689,
        4.660160673710883,
        4.660179748845077,
        4.660198347100916,
        4.66021742223511,
        4.660236497369304,
        4.660255095625143,
        4.660274170759338,
        4.660292769015176,
        4.66031184414937,
        4.660330919283564,
        4.660349517539403,
        4.660368592673597,
        4.660387667807791,
        4.660406266063631,
        4.660425341197825,
        4.660443939453664,
        4.660463014587858,
        4.660482089722052,
        4.6605006879778905,
        4.6605197631120845,
        4.660538361367924,
        4.660557436502118,
        4.660576511636312,
        4.660595109892151,
        4.660614185026345,
        4.6606327832821846,
        4.6606518584163785,
        4.660670456672218,
        4.660689531806412,
        4.660708606940606,
        4.660727205196444,
        4.660746280330638,
        4.660764878586478,
        4.660783953720672,
        4.660802551976511,
        4.660821627110705,
        4.660840225366544,
        4.660859300500738,
        4.660877898756577,
        4.660896973890772,
        4.660916049024966,
        4.660934647280804,
        4.660953722414998,
        4.6609723206708376,
        4.6609913958050315,
        4.661009994060871,
        4.661029069195065,
        4.661047667450904,
        4.661066742585098,
        4.661085340840937,
        4.661104415975131,
        4.66112301423097,
        4.661142089365164,
        4.661160687621003,
        4.661179762755197,
        4.661217436145231,
        4.66153694464298,
        4.661556019777174,
        4.661574618033013,
        4.6615932162888525,
        4.6616122914230465,
        4.661630889678886,
        4.66164996481308,
        4.661668563068918,
        4.661687161324758,
        4.661706236458952,
        4.661724834714791,
        4.661743909848985,
        4.661762508104824,
        4.661781106360663,
        4.661800181494857,
        4.661818779750696,
        4.661837378006536,
        4.66185645314073,
        4.661875051396569,
        4.6618936496524075,
        4.6619127247866015,
        4.661931323042441,
        4.661950398176635,
        4.661968996432474,
        4.661987594688314,
        4.6620066698225076,
        4.662025268078346,
        4.662043866334185,
        4.662062941468379,
        4.662081539724219,
        4.662100137980058,
        4.662119213114252,
        4.662137811370091,
        4.66215640962593,
        4.662175007881769,
        4.662194083015963,
        4.662212681271803,
        4.662231279527641,
        4.662250354661835,
        4.662268952917675,
        4.662287551173514,
        4.662306626307708,
        4.662325224563547,
        4.662343822819386,
        4.662362421075225,
        4.662381496209419,
        4.662400094465259,
        4.662418692721098,
        4.662437767855292,
        4.6624563661111305,
        4.66247496436697,
        4.662493562622809,
        4.662512637757003,
        4.662531236012843,
        4.662549834268681,
        4.6625684325245205,
        4.662587507658714,
        4.662606105914554,
        4.662624704170393,
        4.662643302426232,
        4.662661900682071,
        4.662680975816265,
        4.6626995740721044,
        4.662718172327944,
        4.662736770583782,
        4.662755845717976,
        4.662774443973816,
        4.662793042229655,
        4.6628116404854945,
        4.662830238741333,
        4.662849313875527,
        4.662867912131366,
        4.662886510387206,
        4.662905108643045,
        4.662923706898884,
        4.6629427820330775,
        4.662961380288917,
        4.662979978544756,
        4.662998576800596,
        4.663017175056434,
        4.663035773312274,
        4.663054848446468,
        4.663073446702307,
        4.663092044958146,
        4.663110643213985,
        4.663129241469824,
        4.663147839725664,
        4.663166437981503,
        4.663185513115697,
        4.6632041113715355,
        4.663222709627375,
        4.663241307883214,
        4.663259906139054,
        4.663278504394892,
        4.6632971026507315,
        4.663315700906571,
        4.663334776040765,
        4.663353374296604,
        4.663371972552443,
        4.663390570808282,
        4.6634091690641215,
        4.66342776731996,
        4.663446365575799,
        4.663464963831639,
        4.663483562087478,
        4.663502160343317,
        4.663521235477511,
        4.66353983373335,
        4.663558431989189,
        4.663577030245029,
        4.663595628500867,
        4.663614226756707,
        4.663632825012546,
        4.663651423268385,
        4.663670021524224,
        4.663688619780063,
        4.663707218035903,
        4.663725816291742,
        4.663744414547581,
        4.66376301280342,
        4.663781611059259,
        4.663800209315098,
        4.663818807570937,
        4.663837405826777,
        4.663856480960971,
        4.66387507921681,
        4.6638936774726485,
        4.663912275728488,
        4.663930873984327,
        4.663949472240167,
        4.663968070496005,
        4.6639866687518445,
        4.664005267007684,
        4.664023865263523,
        4.664042463519362,
        4.664061061775201,
        4.664079660031041,
        4.66409825828688,
        4.6641168565427185,
        4.664135454798558,
        4.664154053054397,
        4.664172174431881,
        4.6641907726877205,
        4.66420937094356,
        4.664227969199398,
        4.664246567455238,
        4.664265165711077,
        4.664283763966917,
        4.664302362222755,
        4.6643209604785945,
        4.664339558734434,
        4.664358156990273,
        4.664376755246112,
        4.664395353501951,
        4.6644139517577905,
        4.664432550013629,
        4.664451148269468,
        4.664469746525308,
        4.664488344781147,
        4.664506466158631,
        4.6645250644144705,
        4.66454366267031,
        4.664562260926148,
        4.664580859181988,
        4.664599457437827,
        4.6646180556936665,
        4.664636653949505,
        4.664655252205344,
        4.664673850461184,
        4.664691971838668,
        4.664710570094507,
        4.6647291683503465,
        4.664747766606185,
        4.664766364862024,
        4.664784963117864,
        4.664803561373703,
        4.664822159629542,
        4.664840281007026,
        4.664858879262865,
        4.664877477518704,
        4.664896075774544,
        4.664914674030383,
        4.664933272286222,
        4.664951393663706,
        4.664969991919546,
        4.664988590175384,
        4.665007188431224,
        4.665025786687063,
        4.665044384942902,
        4.665062506320386,
        4.665081104576226,
        4.665099702832064,
        4.665118301087904,
        4.665136899343743,
        4.665155020721227,
        4.665173618977066,
        4.665192217232906,
        4.665210815488745,
        4.6652294137445836,
        4.665247535122068,
        4.665266133377907,
        4.665284731633746,
        4.665303329889586,
        4.665321928145425,
        4.665340049522909,
        4.665358647778748,
        4.665377246034588,
        4.665395844290426,
        4.665413965667911,
        4.6654325639237495,
        4.665451162179589,
        4.665469760435428,
        4.665487881812912,
        4.665506480068752,
        4.665525078324591,
        4.66554367658043,
        4.665561797957914,
        4.665580396213754,
        4.665598994469592,
        4.6656175927254315,
        4.665635714102916,
        4.665654312358755,
        4.665672910614594,
        4.665691031992079,
        4.6657096302479175,
        4.665728228503757,
        4.665746826759596,
        4.66576494813708,
        4.66578354639292,
        4.665802144648759,
        4.665820266026243,
        4.665838864282082,
        4.665857462537922,
        4.665875583915406,
        4.665894182171245,
        4.6659127804270835,
        4.665930901804568,
        4.665949500060408,
        4.665968098316246,
        4.665986219693731,
        4.66600481794957,
        4.666023416205409,
        4.666041537582894,
        4.666060135838732,
        4.6660787340945715,
        4.666096855472056,
        4.666115453727895,
        4.666134051983734,
        4.666152173361219,
        4.6661707716170575,
        4.666189369872897,
        4.666207491250381,
        4.66622608950622,
        4.666244210883705,
        4.6662628091395435,
        4.666281407395383,
        4.666299528772868,
        4.666318127028706,
        4.666336725284546,
        4.6663548466620295,
        4.666373444917869,
        4.666391566295354,
        4.666410164551192,
        4.666428285928677,
        4.6664468841845155,
        4.666465482440355,
        4.66648360381784,
        4.666502202073678,
        4.666520323451163,
        4.666538921707002,
        4.666557519962841,
        4.666575641340326,
        4.666594239596164,
        4.666612360973649,
        4.666630959229488,
        4.666649080606972,
        4.666667678862812,
        4.666685800240296,
        4.666704398496135,
        4.666722519873619,
        4.666741118129458,
        4.666759716385298,
        4.6667778377627815,
        4.666796436018621,
        4.666814557396105,
        4.666833155651944,
        4.666851277029429,
        4.6668698752852675,
        4.666887996662752,
        4.666906594918592,
        4.666924716296076,
        4.666943314551915,
        4.666961435929399,
        4.666980034185238,
        4.666998155562722,
        4.667016753818562,
        4.667034875196046,
        4.667053473451885,
        4.66707159482937,
        4.667090193085208,
        4.667108314462693,
        4.667126912718532,
        4.667145034096016,
        4.667163632351856,
        4.66718175372934,
        4.667199875106824,
        4.667218473362663,
        4.667236594740148,
        4.667255192995987,
        4.667273314373471,
        4.66729191262931,
        4.667310034006794,
        4.667328632262634,
        4.667346753640118,
        4.667364875017602,
        4.667383473273441,
        4.667401594650926,
        4.667420192906765,
        4.667438314284249,
        4.667456912540088,
        4.667475033917572,
        4.667493155295057,
        4.667511753550896,
        4.6675298749283805,
        4.66754847318422,
        4.667566594561704,
        4.667584715939188,
        4.667603314195027,
        4.667621435572512,
        4.66764003382835,
        4.667658155205835,
        4.667676276583319,
        4.6676948748391585,
        4.667712996216642,
        4.667731117594127,
        4.667749715849967,
        4.6677678372274505,
        4.667785958604934,
        4.667804556860774,
        4.667822678238259,
        4.667841276494097,
        4.667859397871582,
        4.667877519249066,
        4.667896117504905,
        4.667914238882389,
        4.667932360259874,
        4.667950958515713,
        4.667969079893197,
        4.667987201270681,
        4.6680057995265205,
        4.668023920904005,
        4.668042042281489,
        4.668060640537329,
        4.6680787619148125,
        4.668096883292297,
        4.668115004669781,
        4.668133602925621,
        4.6681517243031045,
        4.668169845680589,
        4.668188443936428,
        4.668206565313913,
        4.668224686691397,
        4.668242808068881,
        4.66826140632472,
        4.668279527702205,
        4.668297649079689,
        4.668316247335528,
        4.668334368713012,
        4.668352490090497,
        4.668370611467981,
        4.66838920972382,
        4.668407331101305,
        4.668425452478789,
        4.668443573856273,
        4.668462172112112,
        4.668480293489597,
        4.668498414867081,
        4.668516536244565,
        4.668535134500404,
        4.668553255877889,
        4.668571377255373,
        4.668589498632857,
        4.6686076200103415,
        4.668626218266181,
        4.668644339643665,
        4.66866246102115,
        4.6686805823986335,
        4.668699180654473,
        4.668717302031957,
        4.668735423409442,
        4.6687535447869255,
        4.668771666164409,
        4.668790264420249,
        4.668808385797734,
        4.6688265071752175,
        4.668844628552701,
        4.668862749930186,
        4.66888087130767,
        4.6688994695635095,
        4.668917590940994,
        4.668935712318478,
        4.668953833695962,
        4.668971955073447,
        4.668990076450931,
        4.66900867470677,
        4.669026796084254,
        4.669044917461739,
        4.669063038839223,
        4.669081160216708,
        4.669099281594192,
        4.669117402971676,
        4.669136001227515,
        4.669154122605,
        4.669172243982484,
        4.6691903653599685,
        4.669208486737452,
        4.669226608114936,
        4.669244729492421,
        4.669262850869905,
        4.66928097224739,
        4.669299570503229,
        4.669317691880713,
        4.669335813258197,
        4.669353934635682,
        4.669372056013166,
        4.6693901773906505,
        4.6694082987681345,
        4.669426420145619,
        4.669444541523103,
        4.669462662900587,
        4.669480784278072,
        4.669499382533911,
        4.669517503911395,
        4.669535625288879,
        4.669553746666364,
        4.669571868043848,
        4.669589989421333,
        4.6696081107988165,
        4.669626232176301,
        4.669644353553785,
        4.66966247493127,
        4.669680596308754,
        4.669698717686238,
        4.669716839063723,
        4.669734960441207,
        4.669753081818691,
        4.669771203196175,
        4.66978932457366,
        4.669807445951144,
        4.669825567328628,
        4.669843688706113,
        4.669861810083597,
        4.6698799314610815,
        4.669898052838565,
        4.66991617421605,
        4.669934295593534,
        4.669952416971018,
        4.669970538348503,
        4.669988659725987,
        4.670006781103472,
        4.6700249024809555,
        4.67004302385844,
        4.670061145235924,
        4.670079266613409,
        4.670097387990893,
        4.670115509368377,
        4.670133630745862,
        4.6701517521233455,
        4.67016987350083,
        4.670187994878314,
        4.670206116255799,
        4.670224237633283,
        4.670242359010767,
        4.670260480388252,
        4.670278601765736,
        4.67029672314322,
        4.670314844520704,
        4.670332489019834,
        4.6703506103973185,
        4.670368731774802,
        4.670386853152287,
        4.670404974529771,
        4.670423095907255,
        4.67044121728474,
        4.670459338662224,
        4.6704774600397085,
        4.6704955814171925,
        4.670513702794677,
        4.670531824172161,
        4.6705494686712905,
        4.670567590048775,
        4.670585711426259,
        4.670603832803744,
        4.670621954181228,
        4.670640075558712,
        4.670658196936197,
        4.670676318313681,
        4.67069396281281,
        4.670712084190295,
        4.670730205567779,
        4.670748326945263,
        4.670766448322747,
        4.670784569700232,
        4.670802691077716,
        4.670820335576845,
        4.67083845695433,
        4.670856578331814,
        4.670874699709298,
        4.670892821086783,
        4.670910942464267,
        4.670928586963396,
        4.670946708340881,
        4.670964829718365,
        4.67098295109585,
        4.6710010724733335,
        4.671019193850818,
        4.671036838349948,
        4.671054959727432,
        4.671073081104916,
        4.6710912024824,
        4.671109323859884,
        4.671126968359014,
        4.671145089736498,
        4.671163211113982,
        4.671181332491467,
        4.671199453868951,
        4.67121709836808,
        4.671235219745565,
        4.671253341123049,
        4.671271462500534,
        4.671289106999663,
        4.671307228377147,
        4.671325349754632,
        4.671343471132116,
        4.671361115631245,
        4.67137923700873,
        4.671397358386214,
        4.671415479763699,
        4.671433124262828,
        4.671451245640312,
        4.671469367017797,
        4.671487488395281,
        4.67150513289441,
        4.671523254271895,
        4.671541375649379,
        4.6715594970268635,
        4.671577141525993,
        4.671595262903477,
        4.6716133842809615,
        4.671631028780091,
        4.671649150157575,
        4.67166727153506,
        4.6716853929125435,
        4.671703037411673,
        4.671721158789158,
        4.6717392801666415,
        4.671756924665771,
        4.671775046043256,
        4.67179316742074,
        4.671810811919869,
        4.671828933297354,
        4.671847054674838,
        4.671864699173967,
        4.671882820551452,
        4.671900941928936,
        4.671918586428065,
        4.67193670780555,
        4.671954829183034,
        4.671972473682163,
        4.671990595059648,
        4.672008716437132,
        4.672026360936261,
        4.672044482313746,
        4.67206260369123,
        4.672080248190359,
        4.672098369567844,
        4.672116490945328,
        4.672134135444457,
        4.672152256821942,
        4.672169901321071,
        4.672188022698555,
        4.67220614407604,
        4.672223788575169,
        4.672241909952653,
        4.672259554451783,
        4.6722776758292675,
        4.672295797206751,
        4.672313441705881,
        4.6723315630833655,
        4.672349207582495,
        4.672367328959979,
        4.6723854503374636,
        4.672403094836593,
        4.672421216214077,
        4.672438860713206,
        4.672456982090691,
        4.672475103468175,
        4.672492747967304,
        4.672510869344789,
        4.672528513843918,
        4.672546635221402,
        4.6725642797205325,
        4.672582401098016,
        4.672600045597146,
        4.6726181669746305,
        4.672636288352114,
        4.672653932851244,
        4.6726720542287286,
        4.672689698727858,
        4.672707820105342,
        4.672725464604471,
        4.672743585981956,
        4.672761230481085,
        4.672779351858569,
        4.6727969963576985,
        4.672815117735183,
        4.672832762234313,
        4.672850883611797,
        4.672868528110927,
        4.672886649488411,
        4.67290429398754,
        4.672922415365025,
        4.672940059864154,
        4.672958181241638,
        4.672975825740767,
        4.672993947118252,
        4.6730115916173816,
        4.6730297129948655,
        4.673047357493995,
        4.67306547887148,
        4.673083123370609,
        4.673101244748093,
        4.673118889247223,
        4.673137010624707,
        4.673154655123836,
        4.673172299622966,
        4.6731904210004505,
        4.67320806549958,
        4.673226186877064,
        4.673243831376193,
        4.673261952753678,
        4.673279597252807,
        4.673297718630291,
        4.67331536312942,
        4.673333007628551,
        4.6733511290060346,
        4.673368773505164,
        4.673386894882649,
        4.673404539381778,
        4.673422183880907,
        4.673440305258391,
        4.673457949757521,
        4.673476071135005,
        4.673493715634135,
        4.673511360133264,
        4.673529481510749,
        4.673547126009878,
        4.673565247387362,
        4.6735828918864915,
        4.673600536385621,
        4.673618657763106,
        4.673636302262235,
        4.673654423639719,
        4.673672068138849,
        4.673689712637978,
        4.673707834015462,
        4.673725478514592,
        4.673743123013721,
        4.673761244391206,
        4.673778888890335,
        4.673796533389464,
        4.673814654766949,
        4.673832299266079,
        4.673849943765208,
        4.673868065142692,
        4.673885709641821,
        4.673903354140951,
        4.673921475518435,
        4.673939120017565,
        4.673956764516694,
        4.673974885894179,
        4.673992530393308,
        4.674010174892437,
        4.674028296269921,
        4.674045940769051,
        4.674063585268181,
        4.674081706645665,
        4.674099351144794,
        4.6741169956439235,
        4.674134640143053,
        4.674152761520538,
        4.674170406019667,
        4.674188050518796,
        4.674206171896281,
        4.67422381639541,
        4.67424146089454,
        4.674259105393669,
        4.674277226771153,
        4.674294871270283,
        4.6743125157694125,
        4.674330160268542,
        4.674348281646026,
        4.674951532764911,
        4.674969177264041,
        4.67498682176317,
        4.675004466262299,
        4.675022110761429,
        4.675039755260559,
        4.675057876638043,
        4.675075521137172,
        4.6750931656363015,
        4.675110810135431,
        4.675128454634561,
        4.67514609913369,
        4.67516374363282,
        4.675181388131949,
        4.675199509509433,
        4.675217154008563,
        4.6752347985076925,
        4.675252443006822,
        4.675270087505951,
        4.6752877320050805,
        4.67530537650421,
        4.675323021003339,
        4.6753406655024685,
        4.675358310001599,
        4.675376431379083,
        4.675394075878212,
        4.675411720377341,
        4.675429364876471,
        4.675447009375601,
        4.67546465387473,
        4.6754822983738595,
        4.675499942872989,
        4.675517587372118,
        4.6755352318712475,
        4.675552876370377,
        4.675570520869506,
        4.675588165368636,
        4.675605809867766,
        4.675623454366895,
        4.675641098866024,
        4.675659220243508,
        4.6756768647426385,
        4.675694509241768,
        4.675712153740897,
        4.6757297982400265,
        4.675747442739156,
        4.675765087238285,
        4.6757827317374145,
        4.675800376236545,
        4.675818020735674,
        4.675835665234803,
        4.675853309733933,
        4.675870954233062,
        4.675888598732191,
        4.675906243231321,
        4.67592388773045,
        4.67594153222958,
        4.67595917672871,
        4.675976821227839,
        4.675994465726968,
        4.676012110226098,
        4.676029754725227,
        4.676047399224356,
        4.6760650437234865,
        4.676082688222616,
        4.67609985584339,
        4.67611750034252,
        4.676135144841649,
        4.676152789340779,
        4.676170433839908,
        4.676188078339037,
        4.676205722838167,
        4.676223367337296,
        4.676241011836426,
        4.6762586563355555,
        4.676276300834685,
        4.676293945333814,
        4.6763115898329435,
        4.676329234332073,
        4.676346878831202,
        4.6763645233303315,
        4.676382167829462,
        4.676399335450236,
        4.676416979949366,
        4.676434624448495,
        4.6764522689476244,
        4.676469913446754,
        4.676487557945883,
        4.676505202445012,
        4.676522846944142,
        4.676540491443272,
        4.676558135942401,
        4.676575303563175,
        4.676592948062305,
        4.676610592561435,
        4.676628237060564,
        4.676645881559693,
        4.676663526058823,
        4.676681170557952,
        4.676698815057081,
        4.676715982677856,
        4.6767336271769855,
        4.676751271676116,
        4.676768916175245,
        4.676786560674374,
        4.676804205173504,
        4.676821849672633,
        4.676839017293408,
        4.676856661792537,
        4.6768743062916664,
        4.676891950790796,
        4.676909595289925,
        4.676927239789055,
        4.676944407409829,
        4.676962051908959,
        4.676979696408089,
        4.676997340907218,
        4.677014985406347,
        4.677032153027122,
        4.6770497975262515,
        4.677067442025381,
        4.67708508652451,
        4.6771027310236395,
        4.677119898644414,
        4.677137543143544,
        4.677155187642673,
        4.677172832141803,
        4.677347846498033,
        4.677365490997162,
        4.677383135496291,
        4.677400779995421,
        4.6774179476161954,
        4.677435592115325,
        4.677453236614454,
        4.677470881113584,
        4.677488048734358,
        4.677505693233488,
        4.679187643191043,
        4.680974506386667,
        4.680995489034281,
        4.681016471681894,
        4.681037454329507,
        4.681057960098766,
        4.681078942746379,
        4.681099925393993,
        4.681120431163251,
        4.681141413810865,
        4.681162396458478,
        4.681183379106091,
        4.68120388487535,
        4.681224867522963,
        4.681245850170577,
        4.681266355939836,
        4.681287338587449,
        4.681308321235062,
        4.681328827004321,
        4.681349809651934,
        4.681370792299547,
        4.681391298068806,
        4.68141228071642,
        4.681433263364033,
        4.681453769133292,
        4.681474751780905,
        4.681495734428518,
        4.681516240197777,
        4.681973566540078,
        4.681994549187691,
        4.68201505495695,
        4.682036037604563,
        4.682056543373822,
        4.682077526021435,
        4.682098508669049,
        4.682119014438308,
        4.682139997085921,
        4.682160502855179,
        4.682181485502793,
        4.682201991272051,
        4.682222973919664,
        4.682243479688923,
        4.682264462336536,
        4.682284968105795,
        4.682305950753409,
        4.6823264565226665,
        4.682347439170281,
        4.682367944939539,
        4.682388927587152,
        4.682409433356411,
        4.682430416004024,
        4.682450921773283,
        4.682471427542541,
        4.682492410190155,
        4.682512915959413,
        4.682533898607026,
        4.682554404376285,
        4.682575387023899,
        4.682595892793157,
        4.682616875440771,
        4.6826373812100295,
        4.682658363857643,
        4.682678869626901,
        4.68269937539616,
        4.682720358043773,
        4.682740863813032,
        4.682761846460645,
        4.6827823522299035,
        4.682802857999162,
        4.682823840646775,
        4.682844346416034,
        4.682865329063647,
        4.682885834832906,
        4.682906340602164,
        4.682927323249778,
        4.682947829019037,
        4.683154794225041,
        4.683196282641913,
        4.683216788411172,
        4.68323729418043,
        4.6832582768280435,
        4.683278782597302,
        4.683299288366561,
        4.683320271014175,
        4.6833407767834325,
        4.683361282552691,
        4.683382265200305,
        4.683402770969564,
        4.683423276738822,
        4.68344378250808,
        4.683464765155694,
        4.683485270924953,
        4.683505776694211,
        4.683526759341825,
        4.683547265111083,
        4.683567770880342,
        4.6835882766496,
        4.683609259297214,
        4.683629765066472,
        4.683650270835731,
        4.683670776604989,
        4.683691759252603,
        4.683712265021861,
        4.68373277079112,
        4.683753276560378,
        4.683774259207992,
        4.68379476497725,
        4.683815270746509,
        4.683835776515767,
        4.683856759163381,
        4.683877264932639,
        4.683897770701898,
        4.683918276471156,
        4.683938782240415,
        4.683959764888028,
        4.683980270657287,
        4.684000776426545,
        4.684021282195804,
        4.684041787965063,
        4.684062770612676,
        4.6840832763819344,
        4.684103782151193,
        4.684124287920452,
        4.68414479368971,
        4.6841657763373235,
        4.684186282106582,
        4.684206787875841,
        4.684227293645099,
        4.684247799414358,
        4.6842683051836165,
        4.68428928783123,
        4.684309793600488,
        4.684330299369747,
        4.6843508051390055,
        4.684371310908264,
        4.684391816677523,
        4.684412322446781,
        4.68443282821604,
        4.684453810863653,
        4.684474316632912,
        4.68449482240217,
        4.684515328171429,
        4.6845358339406875,
        4.684556339709946,
        4.684576845479204,
        4.684597351248462,
        4.684617857017721,
        4.684638839665335,
        4.684659345434594,
        4.684679851203851,
        4.68470035697311,
        4.684720862742369,
        4.684741368511627,
        4.684761874280886,
        4.6847823800501445,
        4.684802885819403,
        4.684823391588662,
        4.68484389735792,
        4.684864403127179,
        4.6848849088964375,
        4.684905414665696,
        4.684925920434955,
        4.684946426204213,
        4.684966931973472,
        4.6849874377427305,
        4.685008420390344,
        4.685028926159602,
        4.685049431928861,
        4.6850699376981195,
        4.685090443467378,
        4.685110949236636,
        4.6851314550058945,
        4.685151960775153,
        4.685172466544412,
        4.68519297231367,
        4.685213478082929,
        4.6852339838521875,
        4.685254489621446,
        4.685274995390705,
        4.685295024281609,
        4.685315530050867,
        4.685336035820125,
        4.685356541589384,
        4.685377047358642,
        4.685397553127901,
        4.6854180588971595,
        4.685438564666418,
        4.685459070435677,
        4.685479576204935,
        4.685500081974194,
        4.6855205877434525,
        4.685541093512711,
        4.68556159928197,
        4.685582105051228,
        4.685602610820487,
        4.6856231165897455,
        4.685643622359004,
        4.685663651249907,
        4.685684157019166,
        4.6857046627884245,
        4.685725168557683,
        4.685745674326942,
        4.6857661800962,
        4.685786685865459,
        4.6858071916347175,
        4.685827697403976,
        4.685847726294879,
        4.685868232064138,
        4.685888737833396,
        4.685909243602655,
        4.685929749371914,
        4.685950255141172,
        4.685970760910431,
        4.685990789801335,
        4.6860112955705935,
        4.686031801339852,
        4.68605230710911,
        4.686072812878368,
        4.686093318647627,
        4.686113824416886,
        4.68613385330779,
        4.686154359077048,
        4.686174864846307,
        4.6861953706155655,
        4.686215876384824,
        4.686235905275727,
        4.686256411044986,
        4.686276916814244,
        4.686297422583503,
        4.686317928352762,
        4.686337957243666,
        4.686358463012924,
        4.686378968782183,
        4.6863994745514415,
        4.686419980320699,
        4.686440009211603,
        4.686460514980862,
        4.68648102075012,
        4.686501526519379,
        4.686521555410283,
        4.686542061179541,
        4.686562566948799,
        4.686583072718058,
        4.686603101608962,
        4.686623607378221,
        4.686644113147479,
        4.686664618916738,
        4.686684647807641,
        4.6867051535768995,
        4.686725659346158,
        4.686746165115417,
        4.686766194006321,
        4.686786699775579,
        4.686807205544838,
        4.686827234435741,
        4.686847740205,
        4.686868245974258,
        4.686888274865162,
        4.686908780634421,
        4.68692928640368,
        4.686949792172938,
        4.686969821063841,
        4.6869903268331,
        4.6870108326023585,
        4.6870308614932625,
        4.687051367262521,
        4.68707187303178,
        4.687091901922683,
        4.6871124076919415,
        4.6871329134612,
        4.687152942352104,
        4.687173448121363,
        4.687193477012267,
        4.6872139827815245,
        4.687234488550783,
        4.687254517441687,
        4.687275023210946,
        4.687295528980204,
        4.687315557871108,
        4.687336063640367,
        4.687356569409625,
        4.687376598300529,
        4.687397104069787,
        4.687417132960691,
        4.68743763872995,
        4.6874581444992085,
        4.687478173390112,
        4.68749867915937,
        4.687518708050274,
        4.687539213819533,
        4.687559242710436,
        4.687579748479695,
        4.687600254248953,
        4.687620283139857,
        4.687640788909116,
        4.687660817800019,
        4.687681323569278,
        4.687701352460182,
        4.68772185822944,
        4.687742363998699,
        4.687762392889603,
        4.6877828986588606,
        4.687802927549765,
        4.687823433319023,
        4.687843462209927,
        4.687863967979186,
        4.687883996870089,
        4.6879045026393475,
        4.687924531530252,
        4.68794503729951,
        4.687965066190413,
        4.687985571959672,
        4.688005600850576,
        4.6880261066198345,
        4.688046135510739,
        4.688066641279997,
        4.6880866701709,
        4.688107175940159,
        4.688127204831063,
        4.6881477106003215,
        4.688167739491225,
        4.688188245260483,
        4.688208274151387,
        4.688228779920646,
        4.688248808811549,
        4.688268837702453,
        4.688289343471712,
        4.688309372362616,
        4.688329878131874,
        4.688349907022777,
        4.688370412792036,
        4.68839044168294,
        4.688410947452199,
        4.688430976343102,
        4.688451005234006,
        4.688471511003264,
        4.6884915398941684,
        4.688512045663427,
        4.68853207455433,
        4.688552103445234,
        4.688572609214493,
        4.688592638105396,
        4.6886131438746546,
        4.688633172765559,
        4.688653201656463,
        4.688673707425721,
        4.688693736316624,
        4.688714242085883,
        4.688734270976787,
        4.68875429986769,
        4.688774805636949,
        4.688794834527853,
        4.688814863418757,
        4.688835369188015,
        4.6888553980789185,
        4.688875903848177,
        4.688895932739081,
        4.688915961629984,
        4.688936467399243,
        4.688956496290147,
        4.688976525181051,
        4.6889970309503095,
        4.689017059841213,
        4.689037088732117,
        4.689057594501375,
        4.689077623392278,
        4.689097652283182,
        4.6891176811740864,
        4.689138186943345,
        4.689158215834248,
        4.689178244725152,
        4.689198750494411,
        4.689218779385314,
        4.689238808276218,
        4.689258837167122,
        4.689279342936381,
        4.689299371827284,
        4.689319400718188,
        4.689339906487446,
        4.68935993537835,
        4.6893799642692535,
        4.6893999931601575,
        4.689420498929416,
        4.689440527820319,
        4.689460556711223,
        4.689480585602127,
        4.689501091371386,
        4.689521120262289,
        4.689541149153193,
        4.689561178044097,
        4.689581683813355,
        4.689601712704259,
        4.689621741595163,
        4.689641770486066,
        4.68966179937697,
        4.689682305146229,
        4.689702334037133,
        4.689722362928036,
        4.68974239181894,
        4.689762420709844,
        4.6897829264791016,
        4.689802955370006,
        4.68982298426091,
        4.689843013151813,
        4.689863042042717,
        4.689883547811975,
        4.689903576702879,
        4.6899236055937825,
        4.6899436344846865,
        4.689963663375591,
        4.689983692266494,
        4.690003721157398,
        4.690024226926656,
        4.6900442558175595,
        4.6900642847084635,
        4.6900843135993675,
        4.690104342490271,
        4.690124371381175,
        4.690144400272079,
        4.690164906041336,
        4.69018493493224,
        4.6902049638231444,
        4.690224992714048,
        4.690245021604952,
        4.690265050495856,
        4.690285079386759,
        4.690305108277663,
        4.690325137168567,
        4.690345642937825,
        4.6903656718287285,
        4.690385700719633,
        4.690405729610536,
        4.69042575850144,
        4.690445787392344,
        4.690465816283247,
        4.690485845174151,
        4.690505874065055,
        4.690525902955958,
        4.690545931846862,
        4.690565960737766,
        4.690585989628669,
        4.690606018519573,
        4.690626524288832,
        4.690646553179735,
        4.690666582070639,
        4.690686610961543,
        4.690706639852446,
        4.69072666874335,
        4.690746697634254,
        4.690766726525157,
        4.690786755416061,
        4.690806784306965,
        4.6908268131978685,
        4.690846842088773,
        4.690866870979676,
        4.69088689987058,
        4.690906928761484,
        4.690926957652387,
        4.690946986543291,
        4.690967015434195,
        4.690987044325098,
        4.691007073216002,
        4.691027102106906,
        4.691047130997809,
        4.691067159888713,
        4.691087188779616,
        4.69110721767052,
        4.691127246561424,
        4.691146798573973,
        4.691166827464877,
        4.69118685635578,
        4.691206885246684,
        4.691226914137588,
        4.691246943028491,
        4.691266971919395,
        4.691287000810299,
        4.6913070297012025,
        4.6913270585921065,
        4.69134708748301,
        4.691367116373914,
        4.691387145264818,
        4.691407174155721,
        4.69142672616827,
        4.691446755059173,
        4.691466783950077,
        4.6914868128409815,
        4.691506841731885,
        4.691526870622789,
        4.69180632133873,
        4.6918263502296345,
        4.6918463791205385,
        4.691866408011442,
        4.69188596002399,
        4.691905988914894,
        4.691926017805798,
        4.691946046696701,
        4.691966075587605,
        4.691985627600154,
        4.692005656491058,
        4.692025685381962,
        4.692045714272865,
        4.692065743163769,
        4.692085295176318,
        4.692105324067222,
        4.692125352958126,
        4.692145381849029,
        4.692165410739933,
        4.692184962752481,
        4.6922049916433854,
        4.692225020534289,
        4.692245049425193,
        4.692264601437741,
        4.692284630328645,
        4.692304659219549,
        4.692324688110452,
        4.692344240123002,
        4.692364269013905,
        4.692384297904809,
        4.692404326795713,
        4.6924238788082615,
        4.6924439076991655,
        4.692463936590069,
        4.692483965480973,
        4.692503517493521,
        4.692523546384425,
        4.692543575275328,
        4.692563127287878,
        4.692583156178781,
        4.692603185069685,
        4.692623213960589,
        4.692642765973138,
        4.692662794864042,
        4.692682823754945,
        4.692702375767494,
        4.692722404658397,
        4.692742433549301,
        4.69276198556185,
        4.692782014452754,
        4.692802043343658,
        4.6928215953562065,
        4.6928416242471105,
        4.692861653138014,
        4.692881205150562,
        4.692901234041466,
        4.69292126293237,
        4.692940814944919,
        4.692960843835823,
        4.692980872726726,
        4.693000424739275,
        4.6930204536301785,
        4.693040005642728,
        4.693060034533631,
        4.693080063424535,
        4.693099615437084,
        4.693119644327988,
        4.693139673218892,
        4.69315922523144,
        4.693179254122344,
        4.693198806134893,
        4.693218835025797,
        4.6932388639167,
        4.6932584159292485,
        4.6932784448201526,
        4.693297996832701,
        4.693318025723605,
        4.693337577736154,
        4.693357606627058,
        4.693377635517962,
        4.69339718753051,
        4.693417216421414,
        4.693436768433963,
        4.693456797324867,
        4.693476349337415,
        4.693496378228319,
        4.693515930240868,
        4.693535959131772,
        4.693555988022675,
        4.693575540035225,
        4.693595568926128,
        4.693615120938677,
        4.69363514982958,
        4.69365470184213,
        4.693674730733033,
        4.693694282745582,
        4.6937143116364854,
        4.693733863649035,
        4.693753892539938,
        4.693773444552487,
        4.693793473443391,
        4.693813025455939,
        4.693833054346843,
        4.693852606359392,
        4.693872635250296,
        4.693892187262844,
        4.693912216153748,
        4.693931768166297,
        4.693951797057201,
        4.693971349069749,
        4.693990901082299,
        4.694010929973202,
        4.6940304819857515,
        4.694050510876655,
        4.694070062889204,
        4.694090091780107,
        4.694109643792657,
        4.69412967268356,
        4.694149224696109,
        4.694168776708658,
        4.694188805599562,
        4.69420835761211,
        4.694228386503014,
        4.694247938515563,
        4.694267967406467,
        4.6942875194190155,
        4.694307071431564,
        4.694327100322468,
        4.694346652335017,
        4.694366681225921,
        4.694386233238469,
        4.694405785251018,
        4.694425814141922,
        4.69444536615447,
        4.694465395045374,
        4.694484947057923,
        4.694504499070472,
        4.694524527961375,
        4.694544079973925,
        4.694563631986473,
        4.694583660877377,
        4.694603212889926,
        4.6946227649024745,
        4.694642793793379,
        4.694662345805927,
        4.694682374696831,
        4.69470192670938,
        4.694721478721929,
        4.694741507612832,
        4.694761059625382,
        4.69478061163793,
        4.694800640528834,
        4.694820192541383,
        4.694839744553931,
        4.694859296566481,
        4.694879325457384,
        4.694898877469933,
        4.694918429482482,
        4.694938458373386,
        4.6949580103859345,
        4.694977562398483,
        4.694997591289387,
        4.695017143301936,
        4.695036695314485,
        4.695056247327034,
        4.695076276217938,
        4.695095828230486,
        4.695115380243035,
        4.695134932255584,
        4.695154961146487,
        4.695174513159037,
        4.695194065171585,
        4.695213617184134,
        4.695233646075038,
        4.6952531980875865,
        4.695272750100136,
        4.6952923021126844,
        4.6953123310035885,
        4.695331883016137,
        4.695351435028686,
        4.695370987041235,
        4.695391015932138,
        4.695410567944687,
        4.695430119957236,
        4.695449671969785,
        4.695469223982334,
        4.695489252873237,
        4.695508804885786,
        4.695528356898335,
        4.695547908910884,
        4.695567460923432,
        4.695587489814336,
        4.695607041826885,
        4.695626593839434,
        4.695646145851983,
        4.6956656978645315,
        4.6956857267554355,
        4.695705278767984,
        4.6957248307805335,
        4.695744382793082,
        4.695763934805631,
        4.69578348681818,
        4.695803038830729,
        4.695823067721633,
        4.695842619734181,
        4.69586217174673,
        4.695881723759279,
        4.695901275771828,
        4.695920827784376,
        4.696058168750573,
        4.696077720763122,
        4.696097272775671,
        4.69611682478822,
        4.6961363768007685,
        4.696175957704221,
        4.6961955097167705,
        4.696215061729319,
        4.696234613741868,
        4.696254165754417,
        4.696273717766966,
        4.696293269779514,
        4.6963128217920636,
        4.696332373804612,
        4.696351925817161,
        4.69637147782971,
        4.696391029842259,
        4.696410581854808,
        4.696430133867357,
        4.696449685879905,
        4.696469714770809,
        4.696489266783358,
        4.696508818795906,
        4.696528370808456,
        4.696547922821004,
        4.696567474833554,
        4.696587026846102,
        4.696606578858651,
        4.6966261308712,
        4.696645682883749,
        4.696665234896297,
        4.696684786908847,
        4.696704338921395,
        4.696723890933944,
        4.696743442946493,
        4.696762994959042,
        4.6967825469715905,
        4.69680209898414,
        4.6968216509966885,
        4.696841203009237,
        4.6968607550217865,
        4.69687983015598,
        4.696899382168529,
        4.6969189341810775,
        4.696938486193627,
        4.6969580382061755,
        4.696977590218724,
        4.6969971422312735,
        4.697016694243822,
        4.697036246256371,
        4.69705579826892,
        4.697075350281469,
        4.697094902294017,
        4.697114454306567,
        4.697134006319115,
        4.697153558331664,
        4.697173110344213,
        4.697192185478407,
        4.697211737490956,
        4.697231289503504,
        4.697250841516054,
        4.697270393528602,
        4.697289945541151,
        4.6973094975537,
        4.697329049566249,
        4.697348601578797,
        4.697367676712991,
        4.697387228725541,
        4.697406780738089,
        4.697426332750638,
        4.697445884763187,
        4.697465436775736,
        4.697484988788284,
        4.697504540800834,
        4.697523615935028,
        4.697543167947576,
        4.697562719960125,
        4.697582271972674,
        4.697601823985223,
        4.697621375997772,
        4.697640451131966,
        4.697660003144515,
        4.697679555157063,
        4.697699107169613,
        4.697718659182161,
        4.69773821119471,
        4.697757286328904,
        4.697776838341453,
        4.697796390354002,
        4.69781594236655,
        4.6978354943791,
        4.697854569513294,
        4.697874121525842,
        4.697893673538391,
        4.69791322555094,
        4.697932777563489,
        4.697951852697683,
        4.6979714047102314,
        4.697990956722781,
        4.698010508735329,
        4.698029583869523,
        4.698049135882072,
        4.698068687894621,
        4.69808823990717,
        4.698107315041364,
        4.6981268670539125,
        4.698146419066462,
        4.6981659710790105,
        4.698185046213204,
        4.698204598225754,
        4.698224150238302,
        4.698243702250851,
        4.698262777385045,
        4.698282329397594,
        4.698301881410143,
        4.6983214334226915,
        4.6983405085568855,
        4.698360060569435,
        4.6983796125819834,
        4.698398687716177,
        4.698418239728726,
        4.698437791741275,
        4.698456866875469,
        4.698476418888018,
        4.6984959709005665,
        4.6985150460347604,
        4.69853459804731,
        4.698554150059858,
        4.698573702072407,
        4.698592777206601,
        4.69861232921915,
        4.698631881231699,
        4.698650956365893,
        4.698670508378442,
        4.698689583512636,
        4.698709135525185,
        4.698728687537733,
        4.698747762671927,
        4.698767314684477,
        4.698786866697025,
        4.698805941831219,
        4.698825493843768,
        4.698845045856317,
        4.698864120990511,
        4.69888367300306,
        4.698902748137254,
        4.698922300149802,
        4.698941852162352,
        4.698960927296546,
        4.698980479309094,
        4.698999554443288,
        4.699019106455837,
        4.699038658468386,
        4.69905773360258,
        4.699077285615129,
        4.699096360749323,
        4.699115912761872,
        4.699135464774421,
        4.699154539908615,
        4.699174091921163,
        4.699193167055357,
        4.699212719067907,
        4.699231794202101,
        4.699251346214649,
        4.699270898227198,
        4.699289973361392,
        4.699309525373941,
        4.699328600508135,
        4.699348152520684,
        4.699367227654878,
        4.699386779667426,
        4.699405854801621,
        4.69942540681417,
        4.699444481948364,
        4.699464033960912,
        4.699483109095106,
        4.699502661107656,
        4.6995217362418495,
        4.699541288254398,
        4.699560363388592,
        4.699579915401141,
        4.699598990535335,
        4.699618542547884,
        4.699637617682078,
        4.6996571696946265,
        4.6996762448288205,
        4.699695796841369,
        4.699714871975564,
        4.6997344239881125,
        4.699753499122306,
        4.699773051134855,
        4.699792126269049,
        4.699811678281598,
        4.699830753415792,
        4.699850305428341,
        4.699869380562535,
        4.699888455696729,
        4.699908007709277,
        4.699927082843471,
        4.699946634856021,
        4.699965709990215,
        4.699985262002763,
        4.700004337136957,
        4.700023889149506,
        4.700042964283701,
        4.700062039417895,
        4.700081591430443,
        4.700100666564637,
        4.700120218577186,
        4.70013929371138,
        4.700158368845574,
        4.700177920858123,
        4.700196995992317,
        4.700216548004866,
        4.700543686556292,
        4.700562761690487,
        4.700581836824681,
        4.70060138883723,
        4.700620463971424,
        4.700639539105618,
        4.700659091118166,
        4.70067816625236,
        4.700697241386554,
        4.700716793399104,
        4.700735868533298,
        4.700754943667492,
        4.70077449568004,
        4.700793570814234,
        4.700812645948428,
        4.700831721082622,
        4.7008512730951715,
        4.7008703482293654,
        4.700889423363559,
        4.700908498497753,
        4.700928050510302,
        4.700947125644496,
        4.70096620077869,
        4.700985752791238,
        4.701004827925432,
        4.701023903059626,
        4.701042978193821,
        4.70106253020637,
        4.701081605340564,
        4.701100680474758,
        4.701119755608952,
        4.7011393076215,
        4.701158382755694,
        4.701177457889888,
        4.701196533024082,
        4.701215608158276,
        4.7012351601708255,
        4.7012542353050195,
        4.7012733104392135,
        4.7012923855734075,
        4.701311460707601,
        4.70133101272015,
        4.701350087854344,
        4.701369162988538,
        4.701388238122732,
        4.701407313256926,
        4.701426865269475,
        4.701445940403669,
        4.701465015537863,
        4.701484090672057,
        4.701503165806251,
        4.7015227178188,
        4.701541792952994,
        4.701560868087188,
        4.701579943221382,
        4.701599018355576,
        4.70161809348977,
        4.7016371686239635,
        4.701656720636513,
        4.701675795770707,
        4.701694870904901,
        4.701713946039095,
        4.701733021173289,
        4.701752096307483,
        4.701771171441677,
        4.701790723454225,
        4.701809798588419,
        4.701828873722613,
        4.701847948856807,
        4.701867023991002,
        4.701886099125196,
        4.70190517425939,
        4.701924249393584,
        4.701943324527778,
        4.701962399661972,
        4.7019819516745205,
        4.7020010268087145,
        4.702020101942908,
        4.702039177077102,
        4.702058252211296,
        4.70207732734549,
        4.702096402479684,
        4.702115477613878,
        4.702134552748072,
        4.702153627882266,
        4.70217270301646,
        4.702191778150654,
        4.702210853284848,
        4.702229928419042,
        4.702249003553237,
        4.7022685555657855,
        4.7022876306999795,
        4.702306705834173,
        4.702325780968367,
        4.702344856102561,
        4.702363931236755,
        4.702383006370949,
        4.702402081505143,
        4.702421156639337,
        4.702440231773531,
        4.702459306907725,
        4.702478382041919,
        4.702497457176113,
        4.702516532310307,
        4.702535607444501,
        4.702554682578695,
        4.702573757712889,
        4.702592832847083,
        4.702611907981278,
        4.702630983115472,
        4.702650058249666,
        4.70266913338386,
        4.702688208518054,
        4.702707283652248,
        4.702726358786442,
        4.70274495704228,
        4.702764032176475,
        4.702783107310669,
        4.702802182444863,
        4.702821257579057,
        4.702840332713251,
        4.702859407847445,
        4.702878482981639,
        4.702897558115833,
        4.702916633250027,
        4.702935708384221,
        4.702954783518415,
        4.702973858652609,
        4.702992933786803,
        4.703012008920997,
        4.703030607176836,
        4.70304968231103,
        4.703068757445224,
        4.703087832579418,
        4.703106907713612,
        4.703125982847806,
        4.703145057982,
        4.703164133116194,
        4.703183208250388,
        4.703202283384582,
        4.703220881640421,
        4.703239956774615,
        4.703259031908809,
        4.703278107043003,
        4.703297182177197,
        4.703316257311391,
        4.703335332445585,
        4.703353930701424,
        4.703373005835618,
        4.703392080969812,
        4.703411156104006,
        4.7034302312382,
        4.703449306372394,
        4.703468381506588,
        4.7034869797624275,
        4.703506054896621,
        4.703525130030815,
        4.703544205165009,
        4.703563280299203,
        4.703581878555043,
        4.703600953689237,
        4.703620028823431,
        4.703639103957625,
        4.703658179091819,
        4.703677254226013,
        4.703695852481851,
        4.703714927616046,
        4.70373400275024,
        4.703753077884434,
        4.703771676140272,
        4.703790751274466,
        4.70380982640866,
        4.703828901542854,
        4.703847976677048,
        4.703866574932888,
        4.703885650067082,
        4.703904725201276,
        4.7039238003354695,
        4.703942398591309,
        4.703961473725503,
        4.703980548859697,
        4.703999623993891,
        4.70401822224973,
        4.704037297383924,
        4.704056372518118,
        4.704075447652312,
        4.7040940459081515,
        4.7041131210423455,
        4.704132196176539,
        4.704150794432379,
        4.704169869566573,
        4.704188944700767,
        4.704208019834961,
        4.704226618090799,
        4.704245693224993,
        4.704264768359187,
        4.7042833666150266,
        4.7043024417492205,
        4.7043215168834145,
        4.7043405920176085,
        4.704359190273448,
        4.704378265407642,
        4.704397340541836,
        4.704415938797675,
        4.704435013931869,
        4.704454089066063,
        4.7044726873219025,
        4.7044917624560965,
        4.70451083759029,
        4.704529435846129,
        4.704548510980324,
        4.704567586114518,
        4.704586184370356,
        4.70460525950455,
        4.70462385776039,
        4.704642932894584,
        4.7046620080287775,
        4.704680606284617,
        4.704699681418811,
        4.704718756553005,
        4.704737354808844,
        4.704756429943038,
        4.704775028198877,
        4.704794103333071,
        4.7048131784672655,
        4.704831776723104,
        4.704850851857298,
        4.704869450113137,
        4.704888525247331,
        4.704907600381525,
        4.704926198637365,
        4.704945273771559,
        4.704963872027398,
        4.704982947161592,
        4.705002022295786,
        4.7050206205516245,
        4.7050396956858185,
        4.705058293941658,
        4.705077369075852,
        4.705095967331691,
        4.705115042465885,
        4.705134117600079,
        4.7051527158559185,
        4.7051717909901125,
        4.705190389245952,
        4.705209464380146,
        4.705228062635984,
        4.705247137770178,
        4.705265736026018,
        4.705284811160212,
        4.705303409416051,
        4.705322484550245,
        4.705341082806084,
        4.705360157940278,
        4.705378756196117,
        4.705397831330311,
        4.70541642958615,
        4.705435504720344,
        4.705454102976184,
        4.705473178110378,
        4.705491776366217,
        4.705510851500411,
        4.705529449756249,
        4.705548524890444,
        4.705567123146283,
        4.705586198280477,
        4.705604796536316,
        4.70562387167051,
        4.7056424699263495,
        4.7056615450605435,
        4.705680143316383,
        4.705699218450577,
        4.705717816706415,
        4.705736891840609,
        4.705755490096449,
        4.705774088352288,
        4.705793163486482,
        4.705811761742321,
        4.705830836876515,
        4.705849435132354,
        4.705868510266548,
        4.705887108522387,
        4.705905706778227,
        4.705924781912421,
        4.70594338016826,
        4.705962455302454,
        4.705981053558292,
        4.706000128692486,
        4.706018726948326,
        4.706037325204165,
        4.706056400338359,
        4.7060749985941985,
        4.7060940737283925,
        4.706112671984231,
        4.70613127024007,
        4.706150345374264,
        4.706168943630104,
        4.706187541885943,
        4.706206617020137,
        4.7062252152759765,
        4.7062442904101704,
        4.706262888666009,
        4.706281486921848,
        4.706300562056042,
        4.706337758567721,
        4.706356833701915,
        4.7063754319577535,
        4.706394030213593,
        4.706487975249498,
        4.706693986698793,
        4.706713061832987,
        4.706731660088827,
        4.706750258344666,
        4.7067688566005055,
        4.7067879317346994,
        4.706806529990538,
        4.706825128246377,
        4.706844203380571,
        4.706862801636411,
        4.70688139989225,
        4.706899998148089,
        4.7069190732822825,
        4.706937671538122,
        4.706956269793961,
        4.706974868049801,
        4.706993943183995,
        4.707012541439833,
        4.7070311396956726,
        4.707049737951512,
        4.707068336207351,
        4.707087411341545,
        4.707106009597384,
        4.707124607853223,
        4.707143206109063,
        4.7071622812432565,
        4.707180879499096,
        4.707199477754934,
        4.707218076010774,
        4.707236674266613,
        4.707255749400807,
        4.7072743476566465,
        4.707292945912485,
        4.707311544168324,
        4.707330142424164,
        4.707348740680002,
        4.707367815814196,
        4.707386414070036,
        4.707405012325875,
        4.707423610581714,
        4.707442208837553,
        4.707460807093392,
        4.707479882227586,
        4.707498480483426,
        4.707517078739265,
        4.707535676995104,
        4.707554275250943,
        4.707572873506782,
        4.707591471762622,
        4.707610546896816,
        4.707629145152654,
        4.707647743408494,
        4.707666341664333,
        4.707684939920172,
        4.707703538176011,
        4.70772213643185,
        4.70774073468769,
        4.707759809821884,
        4.707778408077723,
        4.7077970063335615,
        4.707815604589401,
        4.70783420284524,
        4.707871399356918,
        4.7078899976127575,
        4.707946269258629,
        4.7080020640261475,
        4.708039260537825,
        4.708057858793665,
        4.708076457049504,
        4.708095055305343,
        4.708113653561182,
        4.708132251817021,
        4.708150850072861,
        4.708169448328699,
        4.708188046584539,
        4.708206644840378,
        4.7082252430962175,
        4.708243841352056,
        4.708262439607895,
        4.708281037863735,
        4.708299636119573,
        4.708318234375413,
        4.708336832631252,
        4.708355430887091,
        4.70837402914293,
        4.708392627398769,
        4.708411225654609,
        4.708429823910448,
        4.708448422166287,
        4.708467020422126,
        4.708485618677965,
        4.708504216933805,
        4.708522815189643,
        4.708541413445483,
        4.708560011701322,
        4.7085786099571605,
        4.708597208213,
        4.708615806468839,
        4.708634404724679,
        4.708653002980517,
        4.7086716012363565,
        4.708690199492196,
        4.708708797748035,
        4.708727396003874,
        4.708745994259713,
        4.708764592515553,
        4.708783190771392,
        4.7088017890272305,
        4.70882038728307,
        4.708838985538909,
        4.708857106916393,
        4.7088757051722325,
        4.708894303428072,
        4.70891290168391,
        4.70893149993975,
        4.708950098195589,
        4.708968696451429,
        4.708987294707267,
        4.709357829188986,
        4.7093950257006645,
        4.709468941845666,
        4.709487540101505,
        4.709506138357344,
        4.709524736613183,
        4.709542857990668,
        4.709561456246507,
        4.709580054502346,
        4.709598652758185,
        4.709617251014024,
        4.709635372391508,
        4.709653970647348,
        4.709672568903187,
        4.7096911671590265,
        4.709709765414865,
        4.70972788679235,
        4.709746485048188,
        4.709765083304028,
        4.709783681559867,
        4.709801802937351,
        4.70982040119319,
        4.70983899944903,
        4.709857597704869,
        4.709876195960708,
        4.709894317338192,
        4.709912915594031,
        4.70993151384987,
        4.70995011210571,
        4.709968233483194,
        4.709986831739033,
        4.710005429994872,
        4.710023551372356,
        4.710042149628196,
        4.710060747884035,
        4.710079346139874,
        4.710097467517358,
        4.710116065773198,
        4.710134664029036,
        4.710152785406521,
        4.71017138366236,
        4.710189981918199,
        4.710208580174038,
        4.710226701551522,
        4.710245299807362,
        4.710263898063201,
        4.710282019440685,
        4.710300617696524,
        4.710319215952364,
        4.710337337329848,
        4.710355935585687,
        4.710374533841526,
        4.71039265521901,
        4.71041125347485,
        4.710429851730689,
        4.710447973108173,
        4.710466571364012,
        4.710485169619852,
        4.710503290997336,
        4.710521889253175,
        4.7105404875090136,
        4.710595328519822,
        4.710613926775661,
        4.7106325250315,
        4.710687842920662,
        4.710705964298147,
        4.710724562553986,
        4.71074268393147,
        4.71076128218731,
        4.710779880443148,
        4.710798001820633,
        4.710816600076472,
        4.710834721453956,
        4.710853319709796,
        4.710871917965635,
        4.710890039343119,
        4.710908637598958,
        4.710926758976442,
        4.710945357232282,
        4.710963478609766,
        4.710982076865605,
        4.711000675121444,
        4.711018796498928,
        4.711037394754768,
        4.711055516132252,
        4.711074114388091,
        4.711092235765576,
        4.711110834021414,
        4.711128955398899,
        4.711147553654738,
        4.711166151910577,
        4.711184273288062,
        4.7112028715439,
        4.711220992921385,
        4.7112395911772245,
        4.711257712554708,
        4.711276310810548,
        4.711294432188032,
        4.711313030443871,
        4.711331151821355,
        4.711349750077194,
        4.711367871454679,
        4.711386469710518,
        4.7114045910880025,
        4.711423189343841,
        4.711441310721326,
        4.711459908977165,
        4.711478030354649,
        4.7114966286104885,
        4.711514749987972,
        4.711533348243812,
        4.711551469621296,
        4.711570067877135,
        4.71158818925462,
        4.711606787510458,
        4.711624908887943,
        4.711643030265427,
        4.7116616285212665,
        4.71167974989875,
        4.71169834815459,
        4.711716469532074,
        4.711735067787913,
        4.711753189165398,
        4.711771787421236,
        4.711789908798721,
        4.711808030176205,
        4.7118266284320445,
        4.711844749809528,
        4.711863348065368,
        4.711881469442853,
        4.711900067698691,
        4.711918189076176,
        4.71193631045366,
        4.711954908709499,
        4.711973030086983,
        4.7119916283428225,
        4.712009749720307,
        4.712027871097791,
        4.712046469353631,
        4.7120645907311145,
        4.712082712108599,
        4.712101310364438,
        4.712119431741923,
        4.712138029997761,
        4.712156151375246,
        4.71217427275273,
        4.712192871008569,
        4.712210992386054,
        4.712229113763538,
        4.712247712019377,
        4.712265833396861,
        4.712283954774346,
        4.7123025530301845,
        4.712320674407669,
        4.712339272663508,
        4.712357394040993,
        4.7123755154184765,
        4.712394113674316,
        4.7124122350518,
        4.712430356429285,
        4.712448954685124,
        4.712467076062608,
        4.712485197440093,
        4.712503318817577,
        4.712521917073416,
        4.7125400384509,
        4.712558159828385,
        4.712576758084223,
        4.712594879461708,
        4.712613000839192,
        4.712631599095031,
        4.712649720472515,
        4.71266784185,
        4.712685963227484,
        4.712704561483323,
        4.712722682860807,
        4.712740804238292,
        4.7127594024941315,
        4.712777523871615,
        4.712795645249099,
        4.712813766626584,
        4.7128323648824235,
        4.712850486259907,
        4.712868607637391,
        4.712886729014876,
        4.7129053272707155,
        4.7129234486481995,
        4.712941570025684,
        4.712959691403168,
        4.712978289659008,
        4.7129964110364915,
        4.713014532413976,
        4.71303265379146,
        4.713050775168944,
        4.7130693734247835,
        4.713087494802268,
        4.713105616179752,
        4.713123737557236,
        4.7131423358130755,
        4.71316045719056,
        4.713178578568044,
        4.713214821323013,
        4.713232942700497,
        4.713251540956336,
        4.713269662333821,
        4.713287783711305,
        4.713305905088789,
        4.713324026466274,
        4.713342624722113,
        4.713360746099597,
        4.713378867477081,
        4.713396988854566,
        4.71341511023205,
        4.713433231609534,
        4.713451829865373,
        4.713469951242858,
        4.713488072620342,
        4.713506193997826,
        4.71352431537531,
        4.713542436752795,
        4.713560558130279,
        4.7135791563861185,
        4.713597277763602,
        4.713615399141087,
        4.713633520518571,
        4.713651641896056,
        4.71366976327354,
        4.713687884651024,
        4.7137060060285085,
        4.713724604284348,
        4.713742725661832,
        4.713760847039316,
        4.7137789684168006,
        4.7137970897942845,
        4.713815211171769,
        4.713833332549253,
        4.713851453926738,
        4.713869575304222,
        4.713887696681707,
        4.713905818059191,
        4.71392441631503,
        4.713942537692514,
        4.713960659069999,
        4.713978780447483,
        4.713996901824967,
        4.714015023202451,
        4.714033144579935,
        4.71405126595742,
        4.714069387334904,
        4.714087508712389,
        4.714105630089873,
        4.714123751467357,
        4.714141872844841,
        4.714159994222325,
        4.71417811559981,
        4.714196236977294,
        4.714214358354779,
        4.714232479732263,
        4.714250601109748,
        4.7142687224872315,
        4.714286843864715,
        4.7143049652422,
        4.714323086619684,
        4.714341207997169,
        4.714359329374653,
        4.714377450752138,
        4.714395572129622,
        4.7144136935071055,
        4.71443181488459,
        4.714449936262074,
        4.71455866452698,
        4.714703635546854,
        4.714721756924339,
        4.714739878301823,
        4.714757999679308,
        4.714776121056792,
        4.714794242434277,
        4.7148123638117605,
        4.714830485189244,
        4.714848129688375,
        4.7148662510658585,
        4.7148843724433425,
        4.714902493820827,
        4.714920615198311,
        4.714938736575796,
        4.71495685795328,
        4.714974979330765,
        4.714993100708249,
        4.7150112220857325,
        4.715029343463217,
        4.715046987962347,
        4.715065109339831,
        4.715083230717315,
        4.715101352094799,
        4.715119473472284,
        4.715137594849768,
        4.715155716227253,
        4.715173837604737,
        4.715191482103866,
        4.715209603481351,
        4.715227724858835,
        4.71524584623632,
        4.7152639676138035,
        4.715282088991287,
        4.715300210368772,
        4.715317854867902,
        4.7153359762453855,
        4.71535409762287,
        4.715372219000354,
        4.715390340377839,
        4.715408461755323,
        4.715426106254452,
        4.715444227631937,
        4.715462349009421,
        4.715480470386906,
        4.71549859176439,
        4.715516236263519,
        4.715534357641004,
        4.715552479018488,
        4.715570600395972,
        4.7155887217734564,
        4.71560684315094,
        4.71562448765007,
        4.7156426090275545,
        4.715660730405038,
        4.715678851782523,
        4.7156964962816525,
        4.7157146176591365,
        4.715732739036621,
        4.715750860414105,
        4.71576898179159,
        4.715786626290719,
        4.715804747668203,
        4.715822869045688,
        4.715840990423172,
        4.715858634922301,
        4.715876756299786,
        4.71589487767727,
        4.715912999054754,
        4.715930643553884,
        4.715948764931368,
        4.715966886308852,
        4.715985007686337,
        4.716002652185466,
        4.71602077356295,
        4.716038894940435,
        4.716056539439564,
        4.716074660817048,
        4.716092782194533,
        4.716110903572017,
        4.716128548071146,
        4.716146669448631,
        4.716164790826115,
        4.716182435325244,
        4.716200556702729,
        4.716218678080213,
        4.716236799457698,
        4.716254443956827,
        4.716272565334311,
        4.716290686711796,
        4.716308331210925,
        4.716326452588409,
        4.716344573965894,
        4.716362218465023,
        4.716380339842507,
        4.716398461219992,
        4.716416105719121,
        4.716434227096605,
        4.71645234847409,
        4.716469992973219,
        4.716488114350703,
        4.716506235728188,
        4.716523880227317,
        4.716542001604801,
        4.716560122982286,
        4.716577767481415,
        4.716595888858899,
        4.7166135333580295,
        4.716631654735513,
        4.716649776112997,
        4.7166674206121275,
        4.716685541989611,
        4.716703663367095,
        4.716721307866226,
        4.7167394292437095,
        4.716757073742839,
        4.716775195120324,
        4.7167933164978075,
        4.716810960996937,
        4.716829082374422,
        4.716846726873551,
        4.716864848251035,
        4.71688296962852,
        4.716900614127649,
        4.716918735505133,
        4.716936380004262,
        4.716954501381747,
        4.716972145880876,
        4.71699026725836,
        4.717008388635845,
        4.7170260331349745,
        4.717044154512458,
        4.717061799011588,
        4.7170799203890725,
        4.717097564888202,
        4.717115686265686,
        4.717133330764815,
        4.7171514521423,
        4.717169573519784,
        4.717187218018914,
        4.717205339396398,
        4.717222983895527,
        4.717241105273012,
        4.717258749772141,
        4.717276871149625,
        4.717294515648755,
        4.7173126370262395,
        4.717330281525369,
        4.717348402902853,
        4.717366047401982,
        4.717384168779467,
        4.717401813278596,
        4.71741993465608,
        4.7174375791552094,
        4.717455700532694,
        4.717473345031824,
        4.7174914664093075,
        4.717509110908438,
        4.717527232285922,
        4.717544876785051,
        4.717562998162536,
        4.717580642661665,
        4.717598764039149,
        4.717616408538278,
        4.717634529915763,
        4.7176521744148925,
        4.717669818914022,
        4.717687940291506,
        4.717705584790636,
        4.71772370616812,
        4.717741350667249,
        4.717759472044734,
        4.717777116543863,
        4.717795237921347,
        4.717812882420477,
        4.717848648297091,
        4.71786629279622,
        4.717902058672834,
        4.717937824549447,
        4.718347939934619,
        4.718383228932877,
        4.718401350310362,
        4.7184189948094915,
        4.718436639308621,
        4.718472405185234,
        4.718490049684364,
        4.718508171061848,
        4.7185258155609775,
        4.718543460060107,
        4.718561581437592,
        4.718579225936721,
        4.71859687043585,
        4.71861451493498,
        4.718632636312464,
        4.718650280811594,
        4.718667925310723,
        4.718686046688207,
        4.718703691187336,
        4.718721335686467,
        4.718738980185596,
        4.71875710156308,
        4.718774746062209,
        4.7187923905613385,
        4.718810511938823,
        4.718828156437953,
        4.718845800937082,
        4.718863445436211,
        4.718881566813696,
        4.718899211312825,
        4.718916855811955,
        4.718934500311084,
        4.718952621688568,
        4.7189879106868275,
        4.719005555185957,
        4.719023676563441,
        4.71904132106257,
        4.7190589655617,
        4.71907661006083,
        4.719094254559959,
        4.719112375937443,
        4.719130020436572,
        4.7191476649357025,
        4.719165309434832,
        4.719183430812316,
        4.719201075311445,
        4.719218719810574,
        4.719236364309705,
        4.719254008808834,
        4.719272130186318,
        4.719289774685447,
        4.7193074191845765,
        4.719325063683706,
        4.719342708182836,
        4.719360352681965,
        4.719378474059449,
        4.719396118558579,
        4.719413763057708,
        4.719431407556838,
        4.7194490520559675,
        4.719466696555097,
        4.719484817932581,
        4.71950246243171,
        4.71952010693084,
        4.71953775142997,
        4.719573040428228,
        4.719591161805712,
        4.7196088063048425,
        4.719626450803972,
        4.719644095303101,
        4.7196617398022305,
        4.71967938430136,
        4.719697028800489,
        4.7197146732996185,
        4.719732794677103,
        4.719750439176233,
        4.719768083675362,
        4.719785728174491,
        4.719803372673621,
        4.71982101717275,
        4.71983866167188,
        4.7198563061710095,
        4.719873950670139,
        4.721740690990199,
        4.723748587303295,
        4.723770046829263,
        4.723791029476876,
        4.72381201212449,
        4.723832994772104,
        4.723853977419717,
        4.72387496006733,
        4.723895942714944,
        4.723917402240912,
        4.723938384888525,
        4.723959367536139,
        4.723980350183752,
        4.7240013328313655,
        4.724022315478979,
        4.724043298126593,
        4.724064280774206,
        4.724085263421819,
        4.724106722947788,
        4.724127705595401,
        4.724148688243014,
        4.724169670890627,
        4.724190653538241,
        4.724211636185855,
        4.724232618833468,
        4.724253601481081,
        4.724274584128695,
        4.724295566776308,
        4.724316549423921,
        4.724337532071535,
        4.724358514719149,
        4.724379497366762,
        4.724400480014375,
        4.724421462661988,
        4.724442922187957,
        4.72446390483557,
        4.724484887483183,
        4.724505870130797,
        4.724526852778411,
        4.724547835426024,
        4.724568818073637,
        4.724589800721251,
        4.724610783368864,
        4.724631766016477,
        4.724652748664091,
        4.724673731311704,
        4.724694713959318,
        4.724715696606931,
        4.724736679254544,
        4.724757661902157,
        4.7247786445497715,
        4.724799627197385,
        4.724820609844998,
        4.7248411156142565,
        4.72486209826187,
        4.724883080909484,
        4.724904063557097,
        4.72492504620471,
        4.724946028852323,
        4.724967011499937,
        4.7249879941475506,
        4.725008976795164,
        4.725029959442777,
        4.72505094209039,
        4.725071924738004,
        4.725092907385617,
        4.725113890033231,
        4.725134872680844,
        4.725155378450102,
        4.725176361097716,
        4.72519734374533,
        4.725218326392943,
        4.725239309040556,
        4.72526029168817,
        4.725281274335783,
        4.7253022569833965,
        4.72532323963101,
        4.725343745400268,
        4.725364728047881,
        4.7253857106954955,
        4.725406693343109,
        4.725427675990722,
        4.725448658638335,
        4.725469641285949,
        4.725490623933562,
        4.725511129702821,
        4.725532112350434,
        4.725553094998047,
        4.725574077645661,
        4.725595060293275,
        4.725616042940888,
        4.725636548710146,
        4.72565753135776,
        4.725678514005373,
        4.725699496652987,
        4.7257204793006,
        4.725740985069859,
        4.725761967717472,
        4.725782950365085,
        4.725803933012699,
        4.725824915660312,
        4.725845421429571,
        4.725866404077184,
        4.725887386724797,
        4.725908369372411,
        4.725928875141669,
        4.725949857789283,
        4.725970840436896,
        4.7259918230845095,
        4.726012805732123,
        4.726033311501381,
        4.726054294148995,
        4.7260752767966085,
        4.726096259444222,
        4.72611676521348,
        4.7261377478610935,
        4.726158730508707,
        4.726179236277965,
        4.726200218925579,
        4.726221201573193,
        4.726242184220806,
        4.726262689990064,
        4.726283672637678,
        4.726304655285292,
        4.72632516105455,
        4.726346143702163,
        4.726367126349777,
        4.72638810899739,
        4.726408614766648,
        4.726429597414262,
        4.726450580061876,
        4.726471085831134,
        4.7264920684787475,
        4.726513051126361,
        4.726533556895619,
        4.7265545395432325,
        4.726575522190846,
        4.726596027960104,
        4.726617010607718,
        4.7266379932553315,
        4.72665849902459,
        4.726679481672203,
        4.726699987441462,
        4.726720970089075,
        4.726741952736689,
        4.726762458505947,
        4.726783441153561,
        4.726804423801174,
        4.726824929570433,
        4.726845912218046,
        4.726866417987305,
        4.726887400634918,
        4.726908383282532,
        4.7269288890517895,
        4.726949871699404,
        4.726970377468662,
        4.727365232746478,
        4.7273857385157365,
        4.72740672116335,
        4.727427226932608,
        4.7274482095802215,
        4.72746871534948,
        4.727489697997093,
        4.727510203766352,
        4.727531186413966,
        4.727551692183224,
        4.727572674830838,
        4.727593180600096,
        4.7276141632477096,
        4.727634669016968,
        4.727655651664581,
        4.72767615743384,
        4.727697140081453,
        4.727717645850712,
        4.727738628498325,
        4.7277591342675835,
        4.727780116915198,
        4.727800622684456,
        4.727821128453714,
        4.727842111101328,
        4.727862616870587,
        4.7278835995182,
        4.727904105287458,
        4.727925087935072,
        4.72794559370433,
        4.727966099473589,
        4.727987082121202,
        4.728007587890461,
        4.728028570538074,
        4.728049076307332,
        4.728069582076591,
        4.728090564724204,
        4.728111070493463,
        4.728132053141077,
        4.7281525589103355,
        4.728173064679594,
        4.728194047327207,
        4.728896012265547,
        4.728999017990194,
        4.729020000637807,
        4.729040506407066,
        4.729061012176325,
        4.729081517945583,
        4.729102500593196,
        4.729123006362455,
        4.729143512131714,
        4.729164017900972,
        4.729184523670231,
        4.729205506317844,
        4.729226012087103,
        4.729246517856361,
        4.72926702362562,
        4.729287529394878,
        4.729308512042492,
        4.72932901781175,
        4.729349523581009,
        4.729370029350267,
        4.729390535119526,
        4.729411040888785,
        4.729432023536398,
        4.729452529305656,
        4.729473035074915,
        4.729493540844174,
        4.729514046613432,
        4.729534552382691,
        4.729555058151949,
        4.729575563921208,
        4.729596546568821,
        4.72961705233808,
        4.729637558107338,
        4.729658063876597,
        4.729678569645856,
        4.729719581184372,
        4.729986633063088,
        4.730007138832347,
        4.730027644601606,
        4.730048627249219,
        4.730069133018477,
        4.730089638787736,
        4.730110144556995,
        4.730130650326253,
        4.730151156095512,
        4.7301716618647704,
        4.730192167634029,
        4.730212673403288,
        4.730233179172545,
        4.730253684941804,
        4.730274190711063,
        4.730294696480321,
        4.73031520224958,
        4.730335708018838,
        4.730356213788097,
        4.730376719557356,
        4.730397225326614,
        4.730417731095873,
        4.730438236865131,
        4.73045874263439,
        4.730479248403649,
        4.730499754172907,
        4.730520259942166,
        4.7305407657114245,
        4.730561271480682,
        4.730581777249941,
        4.730601806140845,
        4.730622311910103,
        4.730642817679362,
        4.730663323448621,
        4.730683829217879,
        4.730704334987138,
        4.730724840756396,
        4.730745346525655,
        4.730765852294914,
        4.730786358064172,
        4.73080686383343,
        4.730827369602689,
        4.730847875371947,
        4.730868381141206,
        4.73088841003211,
        4.730908915801368,
        4.730929421570627,
        4.730949927339886,
        4.730970433109144,
        4.730990938878403,
        4.731011444647661,
        4.731031950416919,
        4.731052456186178,
        4.731072485077082,
        4.73109299084634,
        4.731113496615599,
        4.731134002384858,
        4.731154508154116,
        4.731175013923375,
        4.731195519692633,
        4.7312155485835365,
        4.731236054352795,
        4.731256560122054,
        4.731277065891312,
        4.731297571660571,
        4.73131807742983,
        4.731338106320734,
        4.731358612089992,
        4.731379117859251,
        4.7313996236285085,
        4.731420129397767,
        4.731440158288671,
        4.73146066405793,
        4.731481169827188,
        4.731501675596447,
        4.731522181365706,
        4.731542210256609,
        4.731562716025867,
        4.731583221795126,
        4.7316037275643845,
        4.731624233333643,
        4.731644262224547,
        4.731664767993806,
        4.731685273763064,
        4.731705779532323,
        4.731725808423226,
        4.731746314192485,
        4.731766819961743,
        4.731787325731002,
        4.731807354621906,
        4.7318278603911645,
        4.731848366160423,
        4.731868871929682,
        4.731888900820585,
        4.7319094065898435,
        4.731929912359102,
        4.731949941250006,
        4.731970447019265,
        4.731990952788523,
        4.732011458557782,
        4.732031487448685,
        4.732051993217944,
        4.732072498987202,
        4.732092527878106,
        4.732113033647365,
        4.7321335394166235,
        4.732153568307527,
        4.732174074076785,
        4.732194579846044,
        4.732214608736948,
        4.7322351145062065,
        4.732255620275465,
        4.732275649166368,
        4.732296154935627,
        4.732316660704885,
        4.7323366895957895,
        4.732357195365048,
        4.732377701134307,
        4.73239773002521,
        4.732418235794468,
        4.732438741563727,
        4.732458770454631,
        4.73247927622389,
        4.732499305114793,
        4.732519810884051,
        4.73254031665331,
        4.732560345544214,
        4.732580851313473,
        4.732600880204376,
        4.732621385973634,
        4.732641891742893,
        4.732661920633797,
        4.732682426403056,
        4.73270245529396,
        4.732722961063218,
        4.732743466832476,
        4.73276349572338,
        4.732784001492639,
        4.732804030383543,
        4.732824536152801,
        4.732844565043704,
        4.732865070812963,
        4.7328855765822215,
        4.7329056054731256,
        4.732926111242384,
        4.732946140133287,
        4.732966645902546,
        4.73298667479345,
        4.7330071805627085,
        4.733027209453612,
        4.73304771522287,
        4.733067744113774,
        4.733088249883033,
        4.733108278773937,
        4.7331287845431955,
        4.733148813434099,
        4.733169319203357,
        4.733189348094261,
        4.73320985386352,
        4.733229882754423,
        4.733250388523682,
        4.733270417414586,
        4.733290923183844,
        4.733310952074748,
        4.733331457844006,
        4.73335148673491,
        4.733371992504169,
        4.733392021395073,
        4.733412527164331,
        4.733432556055234,
        4.733453061824493,
        4.733473090715397,
        4.7334931196063,
        4.733513625375559,
        4.733533654266463,
        4.733554160035721,
        4.733574188926625,
        4.733594694695884,
        4.733614723586787,
        4.733635229356046,
        4.73365525824695,
        4.733675287137853,
        4.7336957929071115,
        4.7337158217980155,
        4.733736327567274,
        4.733756356458178,
        4.733776385349081,
        4.73379689111834,
        4.733816920009244,
        4.7338374257785025,
        4.733857454669406,
        4.73387748356031,
        4.733897989329568,
        4.733918018220472,
        4.7339380471113754,
        4.733958552880634,
        4.733978581771538,
        4.733999087540797,
        4.7340191164317,
        4.734039145322604,
        4.734059651091862,
        4.7340796799827665,
        4.73409970887367,
        4.734120214642928,
        4.734140243533832,
        4.734160272424735,
        4.734180778193994,
        4.734200807084898,
        4.734220835975802,
        4.734241341745061,
        4.734261370635964,
        4.734281399526868,
        4.734301428417772,
        4.7343219341870295,
        4.7343419630779335,
        4.734361991968838,
        4.734382497738096,
        4.734402526628999,
        4.734422555519903,
        4.734443061289162,
        4.734463090180066,
        4.734483119070969,
        4.734503147961873,
        4.734523653731132,
        4.734543682622035,
        4.734563711512939,
        4.734583740403843,
        4.7346042461731015,
        4.734624275064005,
        4.734644303954909,
        4.734664332845813,
        4.73468483861507,
        4.734704867505974,
        4.734724896396878,
        4.734744925287782,
        4.73476543105704,
        4.734785459947944,
        4.734805488838848,
        4.734825517729751,
        4.734845546620655,
        4.734866052389914,
        4.734886081280817,
        4.734906110171721,
        4.734926139062625,
        4.734946167953528,
        4.734966673722787,
        4.734986702613691,
        4.735006731504595,
        4.735026760395498,
        4.735046789286402,
        4.735067295055661,
        4.735087323946564,
        4.735107352837468,
        4.735127381728372,
        4.735147410619275,
        4.735167439510179,
        4.735187468401083,
        4.735207974170342,
        4.735228003061245,
        4.735248031952149,
        4.735268060843052,
        4.735288089733956,
        4.73530811862486,
        4.735328147515763,
        4.735348653285022,
        4.735368682175926,
        4.73538871106683,
        4.735408739957733,
        4.735428768848637,
        4.735448797739541,
        4.735468826630444,
        4.735488855521348,
        4.735508884412251,
        4.73552939018151,
        4.735549419072414,
        4.735569447963318,
        4.735589476854221,
        4.735609505745125,
        4.735629534636029,
        4.735649563526932,
        4.735669592417836,
        4.735689621308739,
        4.735709650199643,
        4.735729679090547,
        4.735749707981451,
        4.735769736872355,
        4.735789765763259,
        4.735809794654162,
        4.73583030042342,
        4.735850329314324,
        4.735870358205228,
        4.7358903870961315,
        4.7359104159870355,
        4.735930444877939,
        4.735950473768843,
        4.735970502659747,
        4.73599053155065,
        4.736010560441554,
        4.736030589332458,
        4.736050618223361,
        4.736070647114265,
        4.736090676005169,
        4.736110704896072,
        4.736130733786976,
        4.736150762677879,
        4.736430690272177,
        4.736450719163081,
        4.736470748053984,
        4.736490776944888,
        4.736510805835792,
        4.736530834726695,
        4.736550863617599,
        4.736570892508503,
        4.736590921399406,
        4.736610473411956,
        4.736630502302859,
        4.736650531193763,
        4.736670560084666,
        4.73669058897557,
        4.736710617866474,
        4.736730646757377,
        4.736750675648281,
        4.736770704539185,
        4.736790256551734,
        4.736810285442638,
        4.736830314333541,
        4.736850343224445,
        4.736870372115349,
        4.736890401006252,
        4.736910429897156,
        4.736929981909705,
        4.736950010800609,
        4.736970039691512,
        4.736990068582416,
        4.73701009747332,
        4.737030126364223,
        4.737049678376772,
        4.7370697072676755,
        4.7370897361585795,
        4.737109765049484,
        4.737129793940387,
        4.737149822831291,
        4.737169374843839,
        4.737189403734743,
        4.737209432625646,
        4.73722946151655,
        4.7372494904074545,
        4.737269042420003,
        4.737289071310907,
        4.73730910020181,
        4.737329129092714,
        4.737349157983618,
        4.737368709996167,
        4.737388738887071,
        4.737408767777974,
        4.737428796668878,
        4.7374483486814265,
        4.7374683775723305,
        4.737488406463234,
        4.737508435354138,
        4.737527987366686,
        4.73754801625759,
        4.737568045148494,
        4.737588074039397,
        4.737607626051947,
        4.73762765494285,
        4.737647683833754,
        4.737667235846303,
        4.737687264737207,
        4.737707293628111,
        4.737727322519014,
        4.737746874531563,
        4.737766903422466,
        4.73778693231337,
        4.737806484325919,
        4.737826513216823,
        4.737846542107726,
        4.73786657099863,
        4.737886123011179,
        4.737906151902083,
        4.737926180792987,
        4.737945732805535,
        4.737965761696439,
        4.737985790587342,
        4.738005342599892,
        4.738025371490795,
        4.738045400381699,
        4.7380649523942475,
        4.7380849812851515,
        4.738105010176056,
        4.738124562188604,
        4.738144591079508,
        4.738164143092057,
        4.738184171982961,
        4.738204200873864,
        4.738223752886412,
        4.738243781777316,
        4.73826381066822,
        4.738283362680769,
        4.738303391571673,
        4.738322943584222,
        4.738342972475126,
        4.738363001366029,
        4.738382553378578,
        4.738402582269481,
        4.738422134282031,
        4.738442163172934,
        4.738462192063838,
        4.7384817440763864,
        4.7385017729672905,
        4.738521324979839,
        4.738541353870743,
        4.738560905883292,
        4.738580934774196,
        4.7386009636651,
        4.738620515677648,
        4.738640544568551,
        4.738660096581101,
        4.738680125472004,
        4.738699677484553,
        4.7387197063754565,
        4.738739258388006,
        4.738759287278909,
        4.7387788392914585,
        4.738798868182362,
        4.738818897073266,
        4.738838449085814,
        4.738858477976718,
        4.738878029989267,
        4.738898058880171,
        4.738917610892719,
        4.738937639783623,
        4.738957191796172,
        4.738977220687076,
        4.7389967726996245,
        4.7390168015905285,
        4.739036353603077,
        4.739056382493981,
        4.73907593450653,
        4.739095963397434,
        4.739115515409982,
        4.739135067422532,
        4.739155096313435,
        4.739174648325984,
        4.739194677216887,
        4.739214229229436,
        4.73923425812034,
        4.7392538101328885,
        4.7392738390237925,
        4.739293391036341,
        4.739313419927245,
        4.739332971939794,
        4.739352523952343,
        4.739372552843246,
        4.739392104855796,
        4.739412133746699,
        4.739431685759248,
        4.739451237771797,
        4.739471266662701,
        4.739490818675249,
        4.739510847566153,
        4.739530399578702,
        4.739550428469606,
        4.7395699804821545,
        4.739589532494703,
        4.739609561385607,
        4.739629113398156,
        4.739648665410705,
        4.739668694301608,
        4.739688246314158,
        4.739708275205061,
        4.73972782721761,
        4.739747379230159,
        4.739767408121063,
        4.739786960133611,
        4.73980651214616,
        4.739826541037064,
        4.7398460930496125,
        4.739865645062162,
        4.739885673953065,
        4.739905225965614,
        4.739924777978163,
        4.739944806869066,
        4.739964358881616,
        4.739983910894164,
        4.740003939785068,
        4.740023491797617,
        4.740043043810165,
        4.740063072701069,
        4.740082624713618,
        4.740102176726167,
        4.74012220561707,
        4.74014175762962,
        4.740161309642168,
        4.740180861654717,
        4.740200890545621,
        4.7402204425581695,
        4.740239994570719,
        4.740260023461622,
        4.740279575474172,
        4.74029912748672,
        4.740318679499269,
        4.740338708390173,
        4.740358260402721,
        4.740377812415271,
        4.740397364427819,
        4.740417393318723,
        4.740436945331272,
        4.74045649734382,
        4.74047604935637,
        4.740496078247273,
        4.740515630259822,
        4.740535182272371,
        4.7405547342849195,
        4.7405747631758235,
        4.740594315188372,
        4.7406138672009215,
        4.74063341921347,
        4.740652971226019,
        4.740673000116923,
        4.740692552129471,
        4.740712104142021,
        4.740731656154569,
        4.740751208167118,
        4.740771237058022,
        4.74079078907057,
        4.74081034108312,
        4.740829893095668,
        4.740849445108217,
        4.740868997120766,
        4.740889026011669,
        4.740908578024219,
        4.740928130036767,
        4.740947682049316,
        4.740967234061865,
        4.740986786074414,
        4.741006814965318,
        4.7410263669778665,
        4.741045918990415,
        4.7410654710029645,
        4.741085023015513,
        4.741104575028062,
        4.741124127040611,
        4.74114367905316,
        4.741163707944064,
        4.741183259956612,
        4.741202811969161,
        4.74122236398171,
        4.741241915994259,
        4.741261468006807,
        4.741281020019357,
        4.741300572031905,
        4.741320124044454,
        4.741340152935358,
        4.741359704947906,
        4.741379256960456,
        4.741398808973004,
        4.741418360985553,
        4.741437912998102,
        4.741457465010651,
        4.7414770170231995,
        4.741496569035749,
        4.7415161210482974,
        4.741535673060846,
        4.741555225073395,
        4.741574777085944,
        4.7415943290984925,
        4.741613881111042,
        4.7416334331235905,
        4.741653462014495,
        4.741673014027043,
        4.741692566039592,
        4.741712118052141,
        4.74173167006469,
        4.741751222077238,
        4.741770774089788,
        4.741790326102336,
        4.741809878114885,
        4.741829430127434,
        4.741848982139983,
        4.741868534152531,
        4.741888086165081,
        4.741907638177629,
        4.741927190190178,
        4.741946742202727,
        4.741966294215276,
        4.741985846227824,
        4.742005398240374,
        4.742024950252922,
        4.742044502265471,
        4.742063577399665,
        4.742083129412214,
        4.742102681424763,
        4.742122233437311,
        4.742141785449861,
        4.742161337462409,
        4.742180889474958,
        4.742200441487507,
        4.742219993500056,
        4.7422395455126045,
        4.742259097525154,
        4.7422786495377025,
        4.742298201550251,
        4.7423177535628005,
        4.742337305575349,
        4.742356857587898,
        4.7423759327220925,
        4.742395484734641,
        4.74241503674719,
        4.742434588759739,
        4.7424541407722876,
        4.742473692784836,
        4.7424932447973855,
        4.742512796809934,
        4.742532348822483,
        4.742551900835032,
        4.742570975969226,
        4.742590527981775,
        4.742610079994323,
        4.742629632006873,
        4.742649184019421,
        4.74266873603197,
        4.742688288044519,
        4.742707363178713,
        4.742726915191262,
        4.74274646720381,
        4.74276601921636,
        4.742785571228908,
        4.742805123241457,
        4.742824675254006,
        4.7428437503882,
        4.742863302400749,
        4.742882854413297,
        4.742902406425847,
        4.742921958438395,
        4.742941033572589,
        4.742960585585138,
        4.742980137597687,
        4.742999689610236,
        4.743019241622784,
        4.743038793635334,
        4.743057868769528,
        4.743077420782076,
        4.743096972794625,
        4.743116524807174,
        4.743135599941368,
        4.743155151953917,
        4.743174703966466,
        4.743194255979015,
        4.743213807991563,
        4.743232883125757,
        4.743252435138307,
        4.743271987150855,
        4.743291539163404,
        4.743310614297598,
        4.743330166310147,
        4.743349718322696,
        4.743369270335244,
        4.743388345469438,
        4.743407897481988,
        4.743427449494536,
        4.743447001507085,
        4.743466076641279,
        4.743485628653828,
        4.743505180666377,
        4.743524255800571,
        4.743543807813119,
        4.743563359825669,
        4.743582911838217,
        4.743601986972411,
        4.74362153898496,
        4.743641090997509,
        4.743660166131703,
        4.743679718144252,
        4.743699270156801,
        4.743718345290995,
        4.743737897303544,
        4.743757449316092,
        4.743776524450286,
        4.743796076462836,
        4.743815628475384,
        4.743834703609578,
        4.743854255622127,
        4.743873807634676,
        4.74389288276887,
        4.743912434781419,
        4.743931986793967,
        4.743951061928161,
        4.743970613940711,
        4.743990165953259,
        4.744009241087453,
        4.744028793100002,
        4.744047868234196,
        4.744067420246745,
        4.744086972259294,
        4.744106047393488,
        4.744125599406037,
        4.744145151418586,
        4.74416422655278,
        4.744183778565328,
        4.744202853699522,
        4.744222405712072,
        4.74424195772462,
        4.744261032858814,
        4.744280584871363,
        4.744299660005557,
        4.744319212018106,
        4.7443382871523,
        4.744357839164849,
        4.744377391177397,
        4.744396466311591,
        4.744416018324141,
        4.744435093458335,
        4.744454645470883,
        4.744473720605077,
        4.7444932726176265,
        4.744512824630175,
        4.744531899764369,
        4.744551451776918,
        4.744570526911112,
        4.744590078923661,
        4.744609154057855,
        4.7446287060704035,
        4.7446477812045975,
        4.744667333217146,
        4.74468640835134,
        4.7447059603638895,
        4.744725035498083,
        4.744744587510632,
        4.744763662644826,
        4.7447832146573745,
        4.744802289791569,
        4.744821841804118,
        4.744840916938312,
        4.74486046895086,
        4.744879544085054,
        4.744899096097604,
        4.744918171231798,
        4.744937723244346,
        4.74495679837854,
        4.744976350391089,
        4.744995425525283,
        4.745014977537832,
        4.745034052672026,
        4.74505312780622,
        4.745072679818769,
        4.745091754952963,
        4.745111306965512,
        4.745130382099706,
        4.745149934112255,
        4.745169009246449,
        4.745188561258997,
        4.745727433799978,
        4.745746985812527,
        4.745766060946721,
        4.745785136080915,
        4.745804688093464,
        4.745823763227658,
        4.745842838361852,
        4.7458623903744,
        4.745881465508594,
        4.745900540642789,
        4.7459200926553375,
        4.7459391677895315,
        4.7459582429237255,
        4.7459773180579194,
        4.745996870070468,
        4.746015945204662,
        4.746035020338856,
        4.746054572351405,
        4.746073647485599,
        4.746092722619793,
        4.746111797753987,
        4.746131349766536,
        4.74615042490073,
        4.746169500034924,
        4.746208127181667,
        4.746227202315861,
        4.746246277450055,
        4.746265829462604,
        4.746284904596798,
        4.746303979730992,
        4.746323054865186,
        4.7463421299993795,
        4.746361682011929,
        4.746380757146123,
        4.746399832280317,
        4.746418907414511,
        4.746438459427059,
        4.746457534561253,
        4.746476609695447,
        4.746495684829641,
        4.746514759963835,
        4.746534311976384,
        4.746553387110578,
        4.746572462244773,
        4.746591537378967,
        4.746610612513161,
        4.746630164525709,
        4.746649239659903,
        4.746668314794097,
        4.746687389928291,
        4.746706465062485,
        4.746725540196679,
        4.746745092209228,
        4.7467641673434215,
        4.746783242477616,
        4.74680231761181,
        4.746821392746004,
        4.746840467880198,
        4.746860019892747,
        4.746879095026941,
        4.746898170161135,
        4.746917245295329,
        4.746936320429523,
        4.746955395563717,
        4.746974470697911,
        4.74699402271046,
        4.747013097844654,
        4.747032172978848,
        4.747051248113042,
        4.747070323247236,
        4.74708939838143,
        4.747108473515624,
        4.747127548649818,
        4.747146623784012,
        4.74716617579656,
        4.747185250930754,
        4.747204326064948,
        4.747223401199142,
        4.747242476333336,
        4.74726155146753,
        4.747280626601724,
        4.747299701735918,
        4.747318776870112,
        4.747337852004306,
        4.7473569271385,
        4.747376002272695,
        4.747395077406889,
        4.747414152541083,
        4.7474337045536315,
        4.747452779687825,
        4.747471854822019,
        4.747490929956213,
        4.747510005090407,
        4.747529080224601,
        4.747548155358795,
        4.747567230492989,
        4.747586305627183,
        4.747605380761377,
        4.747624455895571,
        4.747643531029765,
        4.747662606163959,
        4.747681681298153,
        4.747700756432347,
        4.747719831566541,
        4.747738906700736,
        4.74775798183493,
        4.747777056969124,
        4.747796132103318,
        4.747815207237512,
        4.748024556835291,
        4.748139007640455,
        4.748158082774649,
        4.7481771579088425,
        4.7481962330430365,
        4.7482153081772305,
        4.7482343833114244,
        4.748253458445618,
        4.748272533579812,
        4.748291131835652,
        4.748310206969846,
        4.74832928210404,
        4.748348357238234,
        4.748367432372428,
        4.748386507506622,
        4.748405582640816,
        4.7484246577750095,
        4.7484437329092035,
        4.748462331165043,
        4.748481406299237,
        4.748500481433431,
        4.748519556567625,
        4.748538631701819,
        4.748557706836013,
        4.748576781970207,
        4.748595380226046,
        4.74861445536024,
        4.748633530494434,
        4.748652605628628,
        4.748671680762822,
        4.748690755897016,
        4.74870983103121,
        4.748728429287049,
        4.748747504421243,
        4.748766579555437,
        4.748785654689631,
        4.748804729823825,
        4.748823328079665,
        4.7488424032138585,
        4.7488614783480525,
        4.7488805534822465,
        4.74889962861644,
        4.74891822687228,
        4.748937302006474,
        4.748956377140668,
        4.748975452274862,
        4.748994527409056,
        4.749013125664895,
        4.749032200799089,
        4.749051275933283,
        4.749070351067477,
        4.749089426201671,
        4.7491080244575095,
        4.749127099591703,
        4.749146174725898,
        4.749165249860092,
        4.749183848115931,
        4.749202923250125,
        4.749221998384319,
        4.749241073518513,
        4.749259671774352,
        4.749278746908546,
        4.74929782204274,
        4.749316897176934,
        4.749335495432773,
        4.749354570566967,
        4.749373645701161,
        4.749392243957001,
        4.749411319091195,
        4.749430394225389,
        4.749449469359583,
        4.749468067615422,
        4.749487142749616,
        4.74950621788381,
        4.749524816139648,
        4.749543891273842,
        4.749562966408037,
        4.749581564663876,
        4.74960063979807,
        4.749619714932264,
        4.749638313188103,
        4.749657388322297,
        4.749676463456491,
        4.74969506171233,
        4.749714136846524,
        4.749733211980718,
        4.749751810236558,
        4.749770885370752,
        4.749789960504946,
        4.749808558760784,
        4.749827633894979,
        4.749846709029173,
        4.749865307285011,
        4.749884382419205,
        4.749903457553399,
        4.749922055809239,
        4.749941130943433,
        4.749960206077627,
        4.749978804333466,
        4.74999787946766,
        4.750016477723499,
        4.750035552857693,
        4.750054627991887,
        4.750073226247726,
        4.750092301381921,
        4.750110899637759,
        4.750129974771953,
        4.750149049906147,
        4.7501676481619866,
        4.7501867232961805,
        4.75020532155202,
        4.750224396686214,
        4.750242994942053,
        4.750262070076247,
        4.750281145210441,
        4.75029974346628,
        4.750318818600474,
        4.750337416856313,
        4.750356491990507,
        4.750375090246346,
        4.75039416538054,
        4.750413240514734,
        4.750431838770574,
        4.750450913904768,
        4.750469512160607,
        4.750488587294801,
        4.7505071855506396,
        4.7505262606848335,
        4.750544858940673,
        4.750563934074867,
        4.750582532330706,
        4.7506016074649,
        4.75062020572074,
        4.750639280854934,
        4.750657879110772,
        4.750676954244966,
        4.750695552500805,
        4.750714627634999,
        4.750733225890839,
        4.750752301025033,
        4.750770899280872,
        4.750789974415066,
        4.750808572670905,
        4.7508276478050995,
        4.750846246060938,
        4.750865321195132,
        4.750883919450971,
        4.750902994585165,
        4.750921592841005,
        4.750940667975199,
        4.750959266231038,
        4.7509778644868765,
        4.7509969396210705,
        4.75101553787691,
        4.751034613011104,
        4.751053211266943,
        4.751072286401137,
        4.751090884656977,
        4.751109959791171,
        4.751128558047009,
        4.7511471563028485,
        4.751166231437042,
        4.751184829692882,
        4.751203904827076,
        4.751222503082915,
        4.751241101338754,
        4.751260176472948,
        4.751278774728787,
        4.751297849862981,
        4.75131644811882,
        4.75133504637466,
        4.751354121508854,
        4.751372719764692,
        4.751391794898886,
        4.751410393154726,
        4.751428991410565,
        4.751448066544759,
        4.751466664800598,
        4.751485263056437,
        4.751504338190632,
        4.75152293644647,
        4.751542011580664,
        4.7515606098365035,
        4.751579208092343,
        4.751598283226537,
        4.751616881482376,
        4.751635479738215,
        4.751654554872409,
        4.751673153128248,
        4.7516917513840875,
        4.7517108265182815,
        4.751729424774121,
        4.751748023029959,
        4.751767098164153,
        4.751785696419993,
        4.751804294675832,
        4.751823369810026,
        4.7518419680658655,
        4.751860566321704,
        4.751879164577543,
        4.751898239711737,
        4.751916837967577,
        4.751935436223416,
        4.75195451135761,
        4.7519731096134485,
        4.751991707869288,
        4.752010306125127,
        4.752029381259321,
        4.752047979515161,
        4.752066577770999,
        4.752085652905193,
        4.7521042511610325,
        4.752122849416872,
        4.752141447672711,
        4.752160522806905,
        4.752179121062744,
        4.752197719318583,
        4.7522163175744225,
        4.7522353927086165,
        4.752253990964456,
        4.752272589220294,
        4.752291187476134,
        4.752309785731973,
        4.752328860866167,
        4.7523474591220065,
        4.752366057377845,
        4.752384655633684,
        4.752403730767878,
        4.752422329023718,
        4.752440927279556,
        4.752459525535396,
        4.752478123791235,
        4.752497198925429,
        4.752515797181268,
        4.752534395437107,
        4.752552993692946,
        4.752571591948786,
        4.75259066708298,
        4.752609265338819,
        4.7526278635946575,
        4.752646461850497,
        4.752665060106336,
        4.752683658362176,
        4.75270273349637,
        4.752721331752208,
        4.7527399300080475,
        4.752758528263887,
        4.752777126519726,
        4.752795724775565,
        4.752814323031404,
        4.752833398165598,
        4.7528519964214375,
        4.752870594677277,
        4.752889192933115,
        4.752907791188955,
        4.752926389444794,
        4.752944987700634,
        4.7529640628348275,
        4.752982661090666,
        4.753001259346505,
        4.753019857602345,
        4.753038455858184,
        4.753057054114023,
        4.753075652369862,
        4.7530942506257015,
        4.75311284888154,
        4.753131447137379,
        4.753150522271573,
        4.753169120527413,
        4.753187718783252,
        4.753206317039091,
        4.75322491529493,
        4.753243513550769,
        4.753262111806609,
        4.753280710062447,
        4.753299308318287,
        4.753317906574126,
        4.753336504829965,
        4.753355103085804,
        4.753373701341643,
        4.753392299597483,
        4.753410897853322,
        4.753429972987516,
        4.7534485712433545,
        4.753467169499194,
        4.753485767755033,
        4.753504366010873,
        4.753522964266711,
        4.753541562522551,
        4.75356016077839,
        4.753578759034228,
        4.753597357290068,
        4.753615955545907,
        4.753634553801747,
        4.753653152057585,
        4.7536717503134245,
        4.753690348569264,
        4.753708946825103,
        4.753727545080942,
        4.753746143336781,
        4.7537647415926205,
        4.75378333984846,
        4.753801938104298,
        4.753820536360138,
        4.753839134615977,
        4.753857732871816,
        4.753876331127655,
        4.7538949293834944,
        4.753913050760978,
        4.753931649016818,
        4.753950247272657,
        4.7539688455284965,
        4.753987443784335,
        4.754006042040174,
        4.754024640296014,
        4.754043238551853,
        4.754061836807692,
        4.754080435063531,
        4.7540990333193704,
        4.754117631575209,
        4.754136229831048,
        4.754154828086888,
        4.754173426342727,
        4.754192024598566,
        4.75421014597605,
        4.75422874423189,
        4.754247342487728,
        4.754265940743568,
        4.754284538999407,
        4.7543031372552464,
        4.754321735511085,
        4.754340333766924,
        4.754358932022764,
        4.754377530278602,
        4.754395651656087,
        4.754414249911926,
        4.754432848167765,
        4.754451446423604,
        4.754470044679444,
        4.754488642935283,
        4.754507241191122,
        4.754525362568606,
        4.754543960824445,
        4.754562559080284,
        4.754581157336124,
        4.754599755591963,
        4.7546183538478015,
        4.754636952103641,
        4.754655073481126,
        4.754673671736964,
        4.754692269992804,
        4.754710868248643,
        4.754729466504482,
        4.754766186137806,
        4.7550995241078455,
        4.7551176454853294,
        4.755136243741169,
        4.755154841997008,
        4.755173440252848,
        4.7551915616303315,
        4.755210159886171,
        4.75522875814201,
        4.755247356397849,
        4.755265477775334,
        4.755284076031173,
        4.7553026742870115,
        4.755320795664496,
        4.755339393920335,
        4.755357992176174,
        4.7553765904320136,
        4.7553947118094975,
        4.755413310065337,
        4.755431908321176,
        4.75545002969866,
        4.7554686279544995,
        4.755487226210339,
        4.755505824466177,
        4.755523945843662,
        4.755542544099502,
        4.75556114235534,
        4.755579263732825,
        4.755597861988664,
        4.755616460244503,
        4.755634581621988,
        4.755653179877826,
        4.7556717781336655,
        4.75568989951115,
        4.755708497766989,
        4.755727096022828,
        4.755745217400312,
        4.7557638156561515,
        4.755782413911991,
        4.755800535289475,
        4.755819133545314,
        4.7558377318011535,
        4.7558558531786375,
        4.755874451434477,
        4.755893049690316,
        4.7559111710678,
        4.7559297693236395,
        4.7559478907011234,
        4.755966488956963,
        4.755985087212802,
        4.756003208590286,
        4.7560218068461255,
        4.756039928223609,
        4.756058526479449,
        4.756077124735288,
        4.756095246112772,
        4.7561138443686115,
        4.756131965746096,
        4.756150564001935,
        4.756169162257774,
        4.756187283635258,
        4.7562058818910975,
        4.756224003268582,
        4.756242601524421,
        4.75626119978026,
        4.756279321157745,
        4.7562979194135835,
        4.756316040791068,
        4.756334639046907,
        4.756352760424392,
        4.756371358680231,
        4.756389480057715,
        4.756408078313554,
        4.756426676569393,
        4.756444797946878,
        4.756463396202717,
        4.756481517580201,
        4.75650011583604,
        4.756518237213524,
        4.756536835469364,
        4.7565549568468475,
        4.756573555102687,
        4.756591676480172,
        4.75661027473601,
        4.756628396113495,
        4.756646994369334,
        4.756665115746818,
        4.756683714002658,
        4.756701835380142,
        4.756720433635981,
        4.756738555013465,
        4.756757153269304,
        4.756775274646788,
        4.756793872902628,
        4.756811994280112,
        4.756830592535951,
        4.756848713913436,
        4.756867312169275,
        4.756885433546759,
        4.756904031802598,
        4.756922153180082,
        4.756940274557567,
        4.756958872813406,
        4.75697699419089,
        4.756995592446729,
        4.757013713824214,
        4.757032312080053,
        4.757050433457537,
        4.757069031713376,
        4.75708715309086,
        4.757105274468345,
        4.757123872724184,
        4.757141994101668,
        4.757160592357508,
        4.757178713734992,
        4.757197311990831,
        4.757215433368315,
        4.7572335547458,
        4.757252153001638,
        4.757270274379123,
        4.7572888726349625,
        4.757306994012446,
        4.75732511538993,
        4.75734371364577,
        4.7573618350232545,
        4.757380433279093,
        4.757398554656578,
        4.757416676034062,
        4.757435274289901,
        4.757453395667385,
        4.75747151704487,
        4.757490115300709,
        4.757508236678193,
        4.7575268349340325,
        4.757544956311516,
        4.757563077689001,
        4.75758167594484,
        4.7575997973223245,
        4.757617918699808,
        4.757636516955648,
        4.757654638333132,
        4.7576727597106165,
        4.757691357966455,
        4.75770947934394,
        4.757727600721424,
        4.757746198977263,
        4.757764320354748,
        4.757782441732232,
        4.757801039988071,
        4.757819161365555,
        4.75783728274304,
        4.7578558809988785,
        4.757874002376363,
        4.757892123753847,
        4.757910245131332,
        4.7579288433871705,
        4.757946964764655,
        4.757965086142139,
        4.757983684397979,
        4.7580018057754625,
        4.758019927152947,
        4.758038048530431,
        4.758056646786271,
        4.7580747681637545,
        4.758092889541239,
        4.758111487797079,
        4.758129609174563,
        4.7581477305520465,
        4.758165851929531,
        4.758184450185371,
        4.758202571562855,
        4.7582206929403394,
        4.758238814317823,
        4.758257412573663,
        4.758275533951147,
        4.7582936553286315,
        4.758311776706115,
        4.758330374961955,
        4.758348496339439,
        4.7583666177169235,
        4.758384739094407,
        4.758402860471891,
        4.758421458727731,
        4.7584395801052155,
        4.758457701482699,
        4.758475822860183,
        4.758493944237668,
        4.7585125424935075,
        4.758530663870991,
        4.758548785248476,
        4.75856690662596,
        4.758585028003444,
        4.7586036262592835,
        4.758621747636768,
        4.758639869014252,
        4.758657990391736,
        4.758676111769221,
        4.758694233146705,
        4.758712831402544,
        4.758730952780028,
        4.758749074157513,
        4.758767195534997,
        4.758785316912482,
        4.7588034382899655,
        4.758822036545805,
        4.758840157923289,
        4.758858279300774,
        4.758876400678258,
        4.758894522055742,
        4.758912643433226,
        4.758930764810711,
        4.75894936306655,
        4.758967484444034,
        4.758985605821518,
        4.759003727199003,
        4.759021848576487,
        4.759039969953971,
        4.759058091331456,
        4.75907621270894,
        4.7590943340864245,
        4.759112932342264,
        4.759131053719748,
        4.759149175097232,
        4.7591672964747165,
        4.7591854178522,
        4.759203539229685,
        4.759221660607169,
        4.759239781984654,
        4.759257903362138,
        4.759276024739622,
        4.7592941461171065,
        4.7593122674945905,
        4.75933086575043,
        4.759348987127914,
        4.759367108505399,
        4.7593852298828825,
        4.759403351260367,
        4.759421472637851,
        4.759439594015336,
        4.75945771539282,
        4.759475836770304,
        4.759493958147789,
        4.7595120795252726,
        4.759530200902757,
        4.759548322280241,
        4.759566443657726,
        4.75958456503521,
        4.759602686412695,
        4.759620807790179,
        4.759638929167663,
        4.759657050545147,
        4.759675171922631,
        4.759693293300116,
        4.7597114146776,
        4.759729536055085,
        4.759747657432569,
        4.759765778810053,
        4.7597839001875375,
        4.759802021565021,
        4.759820142942506,
        4.75983826431999,
        4.759856385697475,
        4.759874507074959,
        4.759892628452443,
        4.759910749829928,
        4.7599288712074115,
        4.759946992584896,
        4.75996511396238,
        4.759983235339865,
        4.760001356717349,
        4.760019478094834,
        4.760037599472318,
        4.7600557208498016,
        4.760073842227286,
        4.76009196360477,
        4.760110084982255,
        4.760127729481384,
        4.760145850858868,
        4.760163972236353,
        4.760182093613837,
        4.760200214991322,
        4.760218336368806,
        4.76023645774629,
        4.7602545791237745,
        4.760272700501258,
        4.760290821878743,
        4.760308943256227,
        4.760327064633712,
        4.760344709132841,
        4.760362830510325,
        4.76038095188781,
        4.760399073265294,
        4.760417194642778,
        4.760435316020263,
        4.7604534373977465,
        4.760471558775231,
        4.760489680152715,
        4.760507324651845,
        4.760525446029329,
        4.760543567406813,
        4.760561688784298,
        4.760579810161782,
        4.760597931539267,
        4.760616052916751,
        4.76063369741588,
        4.760651818793365,
        4.760669940170849,
        4.760688061548333,
        4.7607061829258175,
        4.760724304303301,
        4.760741948802431,
        4.7607600701799155,
        4.7607781915573995,
        4.760796312934884,
        4.760814434312368,
        4.760832555689853,
        4.760850200188982,
        4.760868321566466,
        4.760886442943951,
        4.760904564321435,
        4.760940330198049,
        4.760976572953017,
        4.760994694330502,
        4.761516876129062,
        4.76158840788229,
        4.761606529259774,
        4.761624650637258,
        4.761642295136388,
        4.761660416513872,
        4.761678537891356,
        4.761696182390486,
        4.76171430376797,
        4.761732425145454,
        4.761750546522939,
        4.761768191022068,
        4.761786312399552,
        4.7618039568986825,
        4.761822078276166,
        4.76184019965365,
        4.761857844152781,
        4.7618759655302645,
        4.761894086907748,
        4.761911731406879,
        4.7619298527843625,
        4.7619479741618465,
        4.761965618660977,
        4.761983740038461,
        4.7620018614159445,
        4.762019505915075,
        4.762037627292559,
        4.762055271791688,
        4.762073393169173,
        4.762091514546657,
        4.762109159045786,
        4.762127280423271,
        4.762145401800755,
        4.762163046299884,
        4.762181167677369,
        4.762198812176498,
        4.762216933553982,
        4.7622345780531115,
        4.762252699430596,
        4.76227082080808,
        4.7622884653072095,
        4.762306586684694,
        4.762324231183824,
        4.762342352561308,
        4.762360473938792,
        4.762378118437922,
        4.762396239815406,
        4.762413884314535,
        4.76243200569202,
        4.762449650191149,
        4.762467771568633,
        4.762485416067763,
        4.762503537445247,
        4.762521658822731,
        4.762539303321861,
        4.762557424699345,
        4.7625750691984745,
        4.762593190575959,
        4.762610835075089,
        4.762628956452573,
        4.762646600951702,
        4.762664722329187,
        4.762682366828316,
        4.7627004882058,
        4.762718132704929,
        4.762736254082414,
        4.762753898581543,
        4.762772019959027,
        4.7627896644581575,
        4.7628077858356415,
        4.762825430334771,
        4.762843551712256,
        4.762861196211385,
        4.762879317588869,
        4.762896962087998,
        4.762915083465483,
        4.762932727964612,
        4.762950849342096,
        4.762968493841226,
        4.76298661521871,
        4.76300425971784,
        4.763022381095324,
        4.765079157439793,
        4.767315240045684,
        4.767336222693297,
        4.767357682219266,
        4.767379141745233,
        4.767400124392847,
        4.767421583918815,
        4.767442566566428,
        4.767464026092397,
        4.76748500874001,
        4.767506468265979,
        4.767527450913592,
        4.767548910439561,
        4.7675703699655285,
        4.767591352613142,
        4.76761281213911,
        4.7676337947867236,
        4.767655254312692,
        4.767676236960305,
        4.767697696486273,
        4.767718679133887,
        4.767740138659855,
        4.767761121307468,
        4.767782580833437,
        4.76780356348105,
        4.767825023007019,
        4.767846005654632,
        4.767867465180601,
        4.767888447828214,
        4.7679099073541815,
        4.767930890001796,
        4.767952349527763,
        4.7679733321753766,
        4.767994791701345,
        4.768015774348958,
        4.768036756996572,
        4.76805821652254,
        4.768079199170153,
        4.768481684501647,
        4.7685031440276155,
        4.768545109322842,
        4.768566568848811,
        4.768587551496424,
        4.768608534144037,
        4.768629993670006,
        4.768650976317619,
        4.7686724358435875,
        4.768693418491201,
        4.768714401138814,
        4.7687358606647825,
        4.768756843312396,
        4.768777825960009,
        4.768798808607622,
        4.768820268133591,
        4.768841250781204,
        4.768862233428817,
        4.768883692954786,
        4.768904675602399,
        4.768925658250012,
        4.768947117775981,
        4.768968100423594,
        4.768989083071207,
        4.769010542597176,
        4.769031525244789,
        4.769052507892402,
        4.769073490540016,
        4.769094950065984,
        4.769115932713597,
        4.769136915361211,
        4.7691578980088245,
        4.769179357534792,
        4.769200340182406,
        4.7692213228300195,
        4.769242305477633,
        4.769263765003601,
        4.769284747651215,
        4.769305730298828,
        4.769326712946441,
        4.76934817247241,
        4.769369155120023,
        4.769390137767636,
        4.76941112041525,
        4.769432103062863,
        4.769453562588831,
        4.769474545236445,
        4.769495527884058,
        4.7695165105316715,
        4.769537493179285,
        4.769558952705253,
        4.7695799353528665,
        4.76960091800048,
        4.769621900648094,
        4.769642883295707,
        4.769664342821675,
        4.769685325469289,
        4.769706308116902,
        4.769727290764515,
        4.769748273412128,
        4.7697692560597424,
        4.76979071558571,
        4.769811698233323,
        4.7698326808809375,
        4.769853663528551,
        4.769874646176164,
        4.769895628823777,
        4.769916611471391,
        4.769937594119004,
        4.769959053644972,
        4.769980036292586,
        4.770001018940199,
        4.7700220015878125,
        4.770042984235426,
        4.77006396688304,
        4.770084949530653,
        4.770105932178266,
        4.770126914825879,
        4.770147897473493,
        4.770169356999461,
        4.770190339647074,
        4.7702113222946885,
        4.770232304942302,
        4.770253287589915,
        4.770274270237528,
        4.770295252885142,
        4.770316235532755,
        4.7703372181803685,
        4.770358200827982,
        4.770379183475595,
        4.770400166123209,
        4.770421148770822,
        4.770442131418435,
        4.7704631140660485,
        4.770484096713663,
        4.770505079361276,
        4.770526062008889,
        4.770547044656502,
        4.770568027304116,
        4.770589009951729,
        4.770609992599343,
        4.770630975246956,
        4.77065195789457,
        4.770672940542183,
        4.770693923189796,
        4.770714905837409,
        4.7707358884850235,
        4.770756871132637,
        4.77077785378025,
        4.770798836427863,
        4.770819819075477,
        4.77084080172309,
        4.7708617843707035,
        4.770882767018317,
        4.77090374966593,
        4.770924732313544,
        4.770945714961157,
        4.77096669760877,
        4.7709876802563835,
        4.771008662903998,
        4.771029645551611,
        4.771050628199224,
        4.771071610846837,
        4.771092593494451,
        4.77111309926371,
        4.771134081911323,
        4.771155064558936,
        4.771176047206549,
        4.7711970298541635,
        4.771218012501777,
        4.77123899514939,
        4.771259977797003,
        4.771280960444616,
        4.77130194309223,
        4.771322448861489,
        4.771343431509102,
        4.771364414156715,
        4.7713853968043285,
        4.771406379451943,
        4.771427362099556,
        4.771448344747169,
        4.7714688505164276,
        4.771489833164041,
        4.771510815811655,
        4.771531798459268,
        4.771552781106881,
        4.771573763754494,
        4.771594269523753,
        4.771615252171366,
        4.77163623481898,
        4.771657217466593,
        4.771678200114207,
        4.77169918276182,
        4.771719688531078,
        4.7717406711786925,
        4.771761653826306,
        4.771782636473919,
        4.771803619121532,
        4.771824124890791,
        4.771845107538404,
        4.771866090186018,
        4.771887072833631,
        4.771908055481244,
        4.771928561250503,
        4.771949543898116,
        4.77197052654573,
        4.771991509193343,
        4.772012014962602,
        4.772032997610215,
        4.772053980257828,
        4.772074962905442,
        4.7720954686747,
        4.772116451322314,
        4.772137433969927,
        4.772158416617541,
        4.772178922386799,
        4.772199905034412,
        4.7722208876820265,
        4.772241393451285,
        4.772262376098898,
        4.772283358746511,
        4.772304341394125,
        4.772324847163383,
        4.772345829810996,
        4.7723668124586105,
        4.772387318227869,
        4.772408300875482,
        4.7724292835230955,
        4.772449789292354,
        4.772470771939967,
        4.772491754587581,
        4.772512260356839,
        4.772533243004453,
        4.772554225652066,
        4.772574731421325,
        4.772595714068938,
        4.772616696716551,
        4.77263720248581,
        4.772658185133424,
        4.772679167781037,
        4.772699673550296,
        4.772720656197909,
        4.772741638845522,
        4.772762144614781,
        4.772783127262394,
        4.772803633031653,
        4.772824615679267,
        4.77284559832688,
        4.772866104096138,
        4.772887086743752,
        4.772908069391365,
        4.772928575160623,
        4.772949557808237,
        4.772970063577495,
        4.772991046225109,
        4.773011551994367,
        4.773032534641981,
        4.773053517289594,
        4.773074023058853,
        4.773095005706466,
        4.773115511475725,
        4.773136494123338,
        4.7731569998925965,
        4.7731779825402105,
        4.773198965187824,
        4.773219470957082,
        4.7732404536046955,
        4.773260959373954,
        4.773281942021567,
        4.773302447790826,
        4.773323430438439,
        4.773343936207698,
        4.773364918855311,
        4.7733854246245695,
        4.773406407272184,
        4.773426913041442,
        4.773447895689055,
        4.773468401458314,
        4.773489384105927,
        4.773509889875186,
        4.773530872522799,
        4.773551378292058,
        4.773572360939671,
        4.773592866708929,
        4.773613849356543,
        4.773634355125801,
        4.773655337773415,
        4.773675843542674,
        4.773696826190287,
        4.773717331959546,
        4.773738314607159,
        4.773758820376417,
        4.773779326145676,
        4.773800308793289,
        4.773820814562548,
        4.773841797210161,
        4.77386230297942,
        4.773883285627034,
        4.774110756602297,
        4.77413173924991,
        4.7741522450191685,
        4.774172750788427,
        4.77419373343604,
        4.774214239205299,
        4.7742347449745575,
        4.7742557276221715,
        4.77427623339143,
        4.774296739160688,
        4.774317721808302,
        4.7743382275775605,
        4.774359210225174,
        4.774379715994432,
        4.774400221763691,
        4.774421204411304,
        4.774441710180563,
        4.774462215949821,
        4.7744831985974345,
        4.774503704366693,
        4.774524210135952,
        4.774545192783565,
        4.7745656985528235,
        4.774586204322082,
        4.774606710091341,
        4.774627692738954,
        4.7746481985082125,
        4.774668704277471,
        4.774689686925084,
        4.774710192694343,
        4.7747306984636015,
        4.77475120423286,
        4.774772186880473,
        4.774792692649732,
        4.7748131984189905,
        4.774834181066605,
        4.774854686835863,
        4.774875192605121,
        4.7748956983743795,
        4.774916681021994,
        4.774937186791252,
        4.774957692560511,
        4.7749781983297686,
        4.774999180977383,
        4.775019686746641,
        4.7750401925159,
        4.775060698285158,
        4.775081204054416,
        4.77510218670203,
        4.775122692471289,
        4.7751431982405474,
        4.775163704009805,
        4.775184209779064,
        4.775205192426678,
        4.7752256981959365,
        4.775246203965195,
        4.775266709734453,
        4.775287215503711,
        4.7753081981513255,
        4.775328703920584,
        4.775349209689843,
        4.7753697154591,
        4.775390221228359,
        4.775410726997618,
        4.775431709645232,
        4.77545221541449,
        4.775472721183748,
        4.775493226953007,
        4.775513732722265,
        4.775534238491524,
        4.775554744260782,
        4.775575726908396,
        4.775596232677654,
        4.775616738446913,
        4.775637244216171,
        4.77565774998543,
        4.775678255754689,
        4.775698761523947,
        4.775719267293206,
        4.775740249940819,
        4.775760755710078,
        4.775781261479336,
        4.775801767248595,
        4.7758222730178534,
        4.775842778787112,
        4.775863284556371,
        4.775883790325629,
        4.775904296094888,
        4.7759248018641465,
        4.775945307633405,
        4.775965813402664,
        4.775986796050277,
        4.7760073018195355,
        4.776027807588794,
        4.776048313358053,
        4.776068819127311,
        4.77608932489657,
        4.776109830665828,
        4.776130336435086,
        4.776150842204345,
        4.776171347973603,
        4.776191853742862,
        4.776212359512121,
        4.776232865281379,
        4.776253371050638,
        4.7762738768198965,
        4.776294382589155,
        4.776314888358414,
        4.776335394127672,
        4.776355899896931,
        4.7763764056661895,
        4.776396911435448,
        4.776417417204707,
        4.776437922973965,
        4.776478934512482,
        4.77649944028174,
        4.776519946050999,
        4.776540451820257,
        4.776560957589516,
        4.776581463358775,
        4.776601969128033,
        4.776622474897292,
        4.7766429806665505,
        4.776663486435809,
        4.776683992205068,
        4.776704021095971,
        4.776724526865229,
        4.776745032634488,
        4.776765538403747,
        4.776786044173005,
        4.776806549942264,
        4.776827055711522,
        4.776847561480781,
        4.776888573019298,
        4.776909078788557,
        4.7769295845578155,
        4.776949613448719,
        4.776970119217977,
        4.776990624987236,
        4.777011130756494,
        4.77744032127586,
        4.777460827045118,
        4.777480855936022,
        4.777501361705281,
        4.7775218674745386,
        4.777542373243797,
        4.777562879013056,
        4.77758290790396,
        4.777603413673218,
        4.777623919442477,
        4.777644425211736,
        4.777664930980994,
        4.777684959871897,
        4.777705465641156,
        4.7777259714104146,
        4.777746477179673,
        4.777766506070577,
        4.777787011839836,
        4.777807517609094,
        4.777828023378353,
        4.777848052269256,
        4.777868558038515,
        4.777889063807773,
        4.777909092698677,
        4.777929598467936,
        4.777950104237195,
        4.777970610006453,
        4.777990638897356,
        4.778011144666615,
        4.7780316504358735,
        4.7780516793267775,
        4.778072185096036,
        4.778092690865295,
        4.778113196634553,
        4.7781332255254565,
        4.778153731294715,
        4.778174237063974,
        4.778194265954878,
        4.778214771724136,
        4.778235277493395,
        4.778255306384298,
        4.778275812153557,
        4.778296317922815,
        4.778316346813719,
        4.778336852582978,
        4.7783573583522365,
        4.77837738724314,
        4.778397893012398,
        4.778418398781657,
        4.778438427672561,
        4.7784589334418195,
        4.778478962332723,
        4.778499468101981,
        4.77851997387124,
        4.778540002762144,
        4.7785605085314025,
        4.778581014300661,
        4.778601043191564,
        4.778621548960823,
        4.778641577851727,
        4.778662083620985,
        4.778682589390244,
        4.778702618281148,
        4.778723124050406,
        4.77874315294131,
        4.778763658710568,
        4.778783687601472,
        4.778804193370731,
        4.77882469913999,
        4.778844728030893,
        4.778865233800151,
        4.778885262691055,
        4.778905768460314,
        4.778925797351217,
        4.778946303120476,
        4.77896633201138,
        4.778986837780638,
        4.779007343549897,
        4.7790273724408,
        4.779047878210059,
        4.779067907100963,
        4.779088412870221,
        4.779108441761125,
        4.779128947530384,
        4.779148976421287,
        4.779169482190546,
        4.77918951108145,
        4.779210016850708,
        4.7792300457416115,
        4.77925055151087,
        4.779270580401774,
        4.779291086171033,
        4.779311115061936,
        4.7793316208311944,
        4.7793516497220985,
        4.779372155491357,
        4.779392184382261,
        4.77941269015152,
        4.779432719042423,
        4.779452747933327,
        4.7794732537025855,
        4.779493282593489,
        4.779513788362747,
        4.779533817253651,
        4.77955432302291,
        4.779574351913814,
        4.7795948576830725,
        4.779614886573976,
        4.77963491546488,
        4.779655421234138,
        4.779675450125041,
        4.7796959558943,
        4.779715984785204,
        4.779736013676108,
        4.779756519445367,
        4.77977654833627,
        4.779797054105528,
        4.779817082996432,
        4.7798371118873355,
        4.779857617656594,
        4.779877646547498,
        4.779898152316757,
        4.779918181207661,
        4.779938210098564,
        4.7799587158678225,
        4.7799787447587265,
        4.779999250527985,
        4.780019279418888,
        4.780039308309792,
        4.780059814079051,
        4.780079842969955,
        4.780099871860858,
        4.780120377630117,
        4.780140406521021,
        4.780160435411924,
        4.780180941181182,
        4.780200970072086,
        4.7802209989629905,
        4.780241504732249,
        4.780261533623152,
        4.780281562514056,
        4.780302068283315,
        4.780322097174218,
        4.780342126065122,
        4.780362154956026,
        4.780382660725285,
        4.780402689616188,
        4.780422718507092,
        4.78044322427635,
        4.7804632531672535,
        4.7804832820581575,
        4.780503310949062,
        4.78052381671832,
        4.780543845609223,
        4.780563874500127,
        4.780584380269386,
        4.78060440916029,
        4.780624438051193,
        4.780644466942097,
        4.780664972711356,
        4.780685001602259,
        4.780705030493163,
        4.780725059384067,
        4.7807455651533255,
        4.780765594044229,
        4.780785622935133,
        4.780805651826037,
        4.78082568071694,
        4.780846186486198,
        4.780866215377102,
        4.780886244268006,
        4.78090627315891,
        4.780926778928168,
        4.780946807819072,
        4.780966836709975,
        4.780986865600879,
        4.781006894491783,
        4.7810269233826865,
        4.781047429151945,
        4.781067458042849,
        4.781087486933752,
        4.781107515824656,
        4.78112754471556,
        4.781148050484819,
        4.781168079375722,
        4.781188108266626,
        4.78120813715753,
        4.781228166048433,
        4.781248194939337,
        4.78126822383024,
        4.781288729599499,
        4.781308758490403,
        4.781328787381307,
        4.78134881627221,
        4.781368845163114,
        4.781388874054018,
        4.781408902944921,
        4.781428931835825,
        4.781449437605084,
        4.781469466495987,
        4.781489495386891,
        4.781509524277795,
        4.781529553168698,
        4.781549582059602,
        4.781569610950506,
        4.7815896398414095,
        4.7816096687323135,
        4.7816296976232175,
        4.781650203392475,
        4.781670232283379,
        4.781690261174283,
        4.781710290065186,
        4.7817303189560905,
        4.7817503478469945,
        4.781770376737898,
        4.781790405628802,
        4.781810434519706,
        4.781830463410609,
        4.781850492301513,
        4.781870521192416,
        4.78189055008332,
        4.781910578974224,
        4.781930607865127,
        4.781950636756031,
        4.781970665646935,
        4.781990694537838,
        4.782010723428742,
        4.782030752319646,
        4.7820507812105495,
        4.7820708101014535,
        4.782090838992357,
        4.782110867883261,
        4.782130896774165,
        4.782150925665068,
        4.782170954555972,
        4.782190983446876,
        4.782211012337779,
        4.782231041228683,
        4.782251070119587,
        4.78227109901049,
        4.782291127901394,
        4.782311156792298,
        4.782331185683201,
        4.782351214574105,
        4.7823712434650085,
        4.7823912723559125,
        4.782411301246817,
        4.78243133013772,
        4.782451359028624,
        4.782471387919528,
        4.782491416810431,
        4.782511445701335,
        4.782531474592239,
        4.782551503483142,
        4.7825710554956915,
        4.782591084386595,
        4.782611113277499,
        4.782631142168402,
        4.782651171059306,
        4.78267119995021,
        4.782691228841113,
        4.782711257732017,
        4.782731286622921,
        4.782751315513824,
        4.782770867526374,
        4.782790896417277,
        4.782810925308181,
        4.782830954199085,
        4.782850983089988,
        4.782871011980892,
        4.782891040871795,
        4.782911069762699,
        4.782930621775248,
        4.782950650666152,
        4.782970679557056,
        4.782990708447959,
        4.783010737338863,
        4.783030766229767,
        4.783050318242315,
        4.783070347133219,
        4.783090376024123,
        4.783110404915027,
        4.78313043380593,
        4.783150462696834,
        4.783170014709382,
        4.783190043600286,
        4.78321007249119,
        4.7832301013820935,
        4.7832501302729975,
        4.783269682285546,
        4.78328971117645,
        4.783309740067354,
        4.783329768958257,
        4.783349797849161,
        4.78336934986171,
        4.783389378752614,
        4.783409407643518,
        4.783429436534421,
        4.783509075219681,
        4.783548656123133,
        4.783568685014037,
        4.783588713904941,
        4.7836087427958445,
        4.78384718197327,
        4.783867210864173,
        4.783887239755077,
        4.783906791767626,
        4.78392682065853,
        4.783946849549434,
        4.783966401561982,
        4.783986430452886,
        4.784006459343789,
        4.784026011356339,
        4.784046040247242,
        4.784066069138146,
        4.784085621150695,
        4.784105650041599,
        4.784125678932502,
        4.784145230945051,
        4.784165259835954,
        4.784185288726858,
        4.784224869630311,
        4.7842444216428595,
        4.784344089219023,
        4.784936372135746,
        4.785965475625513,
        4.785985504516417,
        4.786005056528966,
        4.786024608541515,
        4.786044637432418,
        4.786064189444968,
        4.786083741457516,
        4.78610377034842,
        4.786123322360969,
        4.7861428743735175,
        4.7861629032644215,
        4.78618245527697,
        4.7862020072895195,
        4.786221559302068,
        4.786241588192972,
        4.786261140205521,
        4.786280692218069,
        4.786300721108973,
        4.786320273121522,
        4.786339825134071,
        4.78635937714662,
        4.786379406037524,
        4.786398958050072,
        4.786418510062621,
        4.78643806207517,
        4.786458090966073,
        4.786477642978623,
        4.786497194991171,
        4.78651674700372,
        4.786536775894624,
        4.786556327907173,
        4.786575879919722,
        4.7865954319322706,
        4.786615460823175,
        4.786635012835723,
        4.786654564848272,
        4.786674116860821,
        4.78669366887337,
        4.786713697764274,
        4.786733249776822,
        4.786752801789371,
        4.78677235380192,
        4.786791905814469,
        4.786811934705372,
        4.786831486717921,
        4.78685103873047,
        4.786870590743019,
        4.786890142755568,
        4.786910171646471,
        4.7869297236590205,
        4.786949275671569,
        4.786968827684118,
        4.786988379696667,
        4.787007931709216,
        4.78702796060012,
        4.787047512612668,
        4.787067064625217,
        4.787086616637766,
        4.787106168650315,
        4.787125720662863,
        4.787145272675413,
        4.787165301566316,
        4.787184853578865,
        4.787204405591414,
        4.787223957603962,
        4.787243509616512,
        4.78726306162906,
        4.787282613641609,
        4.787302165654158,
        4.787321717666707,
        4.787341746557611,
        4.7873612985701595,
        4.787380850582708,
        4.7874004025952575,
        4.787419954607806,
        4.787439506620355,
        4.787459058632904,
        4.7874786106454525,
        4.787498162658002,
        4.7875177146705505,
        4.787537266683099,
        4.7875568186956485,
        4.787576847586552,
        4.7875963995991,
        4.78761595161165,
        4.787635503624198,
        4.787655055636748,
        4.787674607649296,
        4.787694159661845,
        4.787713711674394,
        4.787733263686943,
        4.787752815699491,
        4.787772367712041,
        4.787791919724589,
        4.787811471737138,
        4.787831023749687,
        4.787850575762236,
        4.787870127774784,
        4.787889679787334,
        4.787909231799882,
        4.787928783812431,
        4.78794833582498,
        4.787967887837529,
        4.7879874398500775,
        4.788006991862627,
        4.7880265438751755,
        4.788046095887724,
        4.7880656479002734,
        4.788085199912822,
        4.7881047519253706,
        4.78812430393792,
        4.7881438559504685,
        4.788163407963017,
        4.7881829599755665,
        4.788202511988115,
        4.788222064000664,
        4.788241616013213,
        4.788261168025762,
        4.78828072003831,
        4.788338899197602,
        4.788358451210151,
        4.7883780032227,
        4.788397555235249,
        4.788417107247797,
        4.788436659260347,
        4.788456211272895,
        4.788475763285444,
        4.788495315297993,
        4.788514867310542,
        4.788533942444736,
        4.788553494457284,
        4.788573046469834,
        4.788592598482382,
        4.788612150494931,
        4.78863170250748,
        4.788651254520029,
        4.788670806532577,
        4.788690358545127,
        4.788709433679321,
        4.788728985691869,
        4.788748537704418,
        4.788768089716967,
        4.788787641729516,
        4.788807193742064,
        4.788826745754614,
        4.788845820888808,
        4.788865372901356,
        4.788884924913906,
        4.788904476926454,
        4.788924028939003,
        4.788943580951552,
        4.788962656085746,
        4.788982208098295,
        4.789001760110843,
        4.789021312123393,
        4.789040864135941,
        4.789059939270135,
        4.789079491282684,
        4.789099043295233,
        4.789118595307782,
        4.7891381473203305,
        4.7891572224545245,
        4.789176774467074,
        4.7891963264796225,
        4.789215878492171,
        4.7892354305047204,
        4.789254505638914,
        4.789274057651463,
        4.7892936096640115,
        4.789313161676561,
        4.789332236810755,
        4.7893517888233035,
        4.789371340835852,
        4.7893908928484015,
        4.789409967982595,
        4.789429519995144,
        4.789449072007693,
        4.789468624020242,
        4.789487699154436,
        4.7895072511669845,
        4.789526803179534,
        4.7895463551920825,
        4.7895654303262765,
        4.789584982338825,
        4.7896045343513745,
        4.789623609485568,
        4.789643161498117,
        4.7896627135106655,
        4.789682265523215,
        4.789701340657409,
        4.7897208926699575,
        4.789740444682506,
        4.7897595198167,
        4.7897790718292494,
        4.789798623841798,
        4.789817698975992,
        4.7898372509885405,
        4.78985680300109,
        4.789875878135284,
        4.7898954301478325,
        4.789914982160382,
        4.789934057294576,
        4.789953609307124,
        4.789973161319673,
        4.789992236453867,
        4.790011788466416,
        4.790031340478965,
        4.790050415613159,
        4.7900699676257075,
        4.790089519638257,
        4.790108594772451,
        4.790128146784999,
        4.790147221919193,
        4.790166773931742,
        4.790186325944291,
        4.790205401078485,
        4.790224953091034,
        4.790244028225228,
        4.790263580237776,
        4.790283132250326,
        4.79030220738452,
        4.790321759397068,
        4.790340834531262,
        4.790360386543812,
        4.79037993855636,
        4.790399013690554,
        4.790418565703103,
        4.790437640837297,
        4.790457192849846,
        4.790476744862395,
        4.790495819996589,
        4.790515372009137,
        4.790534447143331,
        4.790553999155881,
        4.790573074290075,
        4.790592626302623,
        4.790611701436817,
        4.790631253449366,
        4.790650328583561,
        4.790669880596109,
        4.790689432608658,
        4.790708507742852,
        4.790728059755401,
        4.790747134889595,
        4.790766686902144,
        4.79082438918308,
        4.791364692359125,
        4.791384244371675,
        4.791422394640063,
        4.791441946652611,
        4.791461021786805,
        4.791480573799354,
        4.791499648933548,
        4.791518724067742,
        4.791538276080291,
        4.791557351214485,
        4.791576426348679,
        4.791595978361228,
        4.791615053495422,
        4.791634605507971,
        4.791653680642165,
        4.791672755776359,
        4.7916923077889075,
        4.7917113829231015,
        4.7917304580572955,
        4.791750010069844,
        4.791769085204038,
        4.791788160338232,
        4.791807712350781,
        4.791826787484975,
        4.791845862619169,
        4.791961267181043,
        4.791980819193592,
        4.791999894327786,
        4.79201896946198,
        4.792038521474528,
        4.792057596608722,
        4.792076671742917,
        4.792096223755466,
        4.79211529888966,
        4.792134374023854,
        4.7921534491580475,
        4.792173001170596,
        4.79219207630479,
        4.792211151438984,
        4.7922307034515335,
        4.792249778585727,
        4.792268853719921,
        4.792287928854115,
        4.792307480866664,
        4.792326556000858,
        4.792345631135052,
        4.792364706269246,
        4.792384258281795,
        4.792403333415989,
        4.792422408550183,
        4.792441483684377,
        4.792461035696926,
        4.79248011083112,
        4.792499185965314,
        4.792518261099508,
        4.792537336233702,
        4.792556888246251,
        4.792575963380445,
        4.792595038514639,
        4.792614113648833,
        4.792633188783027,
        4.7926527407955755,
        4.792671815929769,
        4.792690891063963,
        4.792709966198157,
        4.792729041332351,
        4.792748593344901,
        4.792767668479095,
        4.792786743613289,
        4.792805818747483,
        4.792824893881677,
        4.792843969015871,
        4.792863521028419,
        4.792882596162613,
        4.792901671296807,
        4.792920746431001,
        4.792939821565195,
        4.792958896699389,
        4.7929784487119385,
        4.792997523846132,
        4.793016598980326,
        4.79303567411452,
        4.793054749248714,
        4.793073824382908,
        4.793092899517102,
        4.793112451529651,
        4.793131526663845,
        4.793150601798039,
        4.793169676932233,
        4.793188752066427,
        4.793207827200621,
        4.793226902334815,
        4.793245977469009,
        4.793265052603203,
        4.7932841277373965,
        4.793303679749946,
        4.79332275488414,
        4.793341830018334,
        4.793360905152528,
        4.793379980286722,
        4.793399055420916,
        4.79341813055511,
        4.793437205689304,
        4.793456280823498,
        4.793647509043793,
        4.793666584177987,
        4.793685659312181,
        4.793704734446375,
        4.793723809580569,
        4.793742884714763,
        4.793761959848957,
        4.793781034983151,
        4.793800110117345,
        4.793819185251539,
        4.793838260385733,
        4.7938573355199265,
        4.7938764106541205,
        4.7938954857883145,
        4.7939145609225084,
        4.793933636056702,
        4.793952711190896,
        4.79397178632509,
        4.793990861459284,
        4.794009936593478,
        4.794029011727672,
        4.794048086861866,
        4.794067161996061,
        4.7940857602519,
        4.7941048353860936,
        4.7941239105202875,
        4.7941429856544815,
        4.7941620607886755,
        4.794181135922869,
        4.794200211057063,
        4.794219286191258,
        4.794238361325452,
        4.794257436459646,
        4.79427651159384,
        4.794295586728034,
        4.794314661862228,
        4.794333736996422,
        4.794352812130616,
        4.794371410386455,
        4.794390485520649,
        4.794409560654843,
        4.794428635789037,
        4.794447710923231,
        4.794466786057425,
        4.794485861191619,
        4.794504936325813,
        4.794524011460007,
        4.794543086594201,
        4.7945616848500405,
        4.7945807599842345,
        4.7945998351184285,
        4.794618910252622,
        4.794637985386816,
        4.79465706052101,
        4.794676135655204,
        4.794694733911044,
        4.794713809045238,
        4.794732884179432,
        4.794751959313626,
        4.79477103444782,
        4.794790109582014,
        4.7948091847162075,
        4.794827782972046,
        4.794846858106241,
        4.794865933240435,
        4.794885008374629,
        4.794904083508823,
        4.794923158643017,
        4.794941756898855,
        4.794960832033049,
        4.794979907167243,
        4.794998982301437,
        4.795018057435632,
        4.7950366556914705,
        4.7950557308256645,
        4.7950748059598585,
        4.795093881094052,
        4.795112956228246,
        4.795131554484086,
        4.79515062961828,
        4.795169704752474,
        4.795188779886668,
        4.795207378142507,
        4.795226453276701,
        4.795245528410895,
        4.795264603545089,
        4.795283201800928,
        4.795302276935122,
        4.795321352069316,
        4.79534042720351,
        4.795378100593544,
        4.79564324495884,
        4.795662320093034,
        4.795681395227228,
        4.795699993483067,
        4.795719068617261,
        4.795738143751455,
        4.795756742007295,
        4.795775817141489,
        4.795794892275683,
        4.795813490531521,
        4.795832565665715,
        4.79585164079991,
        4.795870239055748,
        4.795889314189942,
        4.795908389324136,
        4.795926987579976,
        4.79594606271417,
        4.795965137848364,
        4.795983736104203,
        4.796002811238397,
        4.796021886372591,
        4.79604048462843,
        4.796059559762624,
        4.796078158018463,
        4.796097233152657,
        4.796116308286852,
        4.79613490654269,
        4.796153981676884,
        4.796173056811078,
        4.7961916550669175,
        4.796210730201111,
        4.796229328456951,
        4.796248403591145,
        4.796267478725339,
        4.796286076981178,
        4.796305152115372,
        4.796323750371211,
        4.796342825505405,
        4.796361423761244,
        4.796380498895438,
        4.796399574029632,
        4.796418172285471,
        4.796437247419665,
        4.796455845675505,
        4.796474920809699,
        4.796493519065538,
        4.796512594199732,
        4.7965311924555705,
        4.796550267589764,
        4.796569342723958,
        4.796587940979798,
        4.796607016113992,
        4.796625614369831,
        4.796644689504025,
        4.7966632877598645,
        4.7966823628940585,
        4.796700961149897,
        4.796720036284091,
        4.79673863453993,
        4.796757709674124,
        4.796776307929964,
        4.796795383064158,
        4.796813981319997,
        4.796833056454191,
        4.79685165471003,
        4.796870729844224,
        4.796889328100063,
        4.796908403234257,
        4.796927001490096,
        4.79694607662429,
        4.79696467488013,
        4.7969837500143235,
        4.797002348270163,
        4.797021423404357,
        4.797040021660195,
        4.797059096794389,
        4.797077695050229,
        4.797096770184423,
        4.797115368440262,
        4.7971339666961015,
        4.7971530418302955,
        4.797171640086134,
        4.797190715220328,
        4.797209313476167,
        4.797228388610361,
        4.797246986866201,
        4.79726558512204,
        4.797284660256234,
        4.7973032585120725,
        4.797322333646267,
        4.797340931902106,
        4.7973600070363,
        4.797378605292139,
        4.797397203547979,
        4.797416278682173,
        4.797434876938012,
        4.797453952072206,
        4.797472550328044,
        4.797491148583884,
        4.797510223718078,
        4.797528821973917,
        4.7975474202297566,
        4.7975664953639505,
        4.797585093619789,
        4.797604168753983,
        4.797622767009822,
        4.797641365265662,
        4.797660440399856,
        4.797679038655695,
        4.797697636911534,
        4.797716712045728,
        4.797735310301567,
        4.797753908557406,
        4.7977729836916,
        4.79779158194744,
        4.797810180203278,
        4.797829255337472,
        4.797847853593312,
        4.797866451849151,
        4.797885526983345,
        4.797904125239184,
        4.797922723495023,
        4.797941798629217,
        4.797960396885056,
        4.7979789951408955,
        4.7979980702750895,
        4.798016668530929,
        4.798035266786767,
        4.798054341920961,
        4.798072940176801,
        4.79809153843264,
        4.7981101366884795,
        4.7981292118226735,
        4.798147810078512,
        4.798166408334351,
        4.798185483468545,
        4.798204081724385,
        4.798222679980224,
        4.798241278236063,
        4.798260353370257,
        4.798278951626096,
        4.798297549881935,
        4.798316148137775,
        4.798335223271969,
        4.798353821527807,
        4.798372419783647,
        4.798391018039486,
        4.79841009317368,
        4.798428691429519,
        4.798447289685358,
        4.798465887941197,
        4.798484963075391,
        4.798503561331231,
        4.79852215958707,
        4.7985407578429085,
        4.798559356098748,
        4.798578431232942,
        4.798597029488781,
        4.798615627744621,
        4.798634226000459,
        4.7986528242562985,
        4.798671899390492,
        4.798690497646332,
        4.798709095902171,
        4.79872769415801,
        4.798746292413849,
        4.798765367548043,
        4.7987839658038824,
        4.798802564059722,
        4.79882116231556,
        4.7988397605714,
        4.798858358827239,
        4.798877433961433,
        4.7988960322172725,
        4.798914630473111,
        4.79893322872895,
        4.798989023496468,
        4.799231754579086,
        4.7992503528349255,
        4.799268951090765,
        4.799287549346604,
        4.799306147602443,
        4.799324745858282,
        4.799343344114122,
        4.7993624192483155,
        4.799381017504155,
        4.799399615759993,
        4.799418214015833,
        4.799436812271672,
        4.799455410527511,
        4.79947400878335,
        4.7994926070391895,
        4.799511205295029,
        4.799529803550867,
        4.799548401806707,
        4.799567000062546,
        4.7995855983183855,
        4.799604196574224,
        4.799622794830063,
        4.799641393085903,
        4.799659991341742,
        4.799678589597581,
        4.79969718785342,
        4.799715786109259,
        4.799734861243453,
        4.799753459499293,
        4.799772057755131,
        4.799790656010971,
        4.79980925426681,
        4.799827852522649,
        4.799846450778488,
        4.799865049034327,
        4.799883647290167,
        4.799902245546005,
        4.799920843801845,
        4.799939442057684,
        4.799957563435168,
        4.799976161691007,
        4.799994759946847,
        4.800013358202686,
        4.8000319564585245,
        4.800050554714364,
        4.800069152970203,
        4.800087751226042,
        4.800106349481881,
        4.800124947737721,
        4.80014354599356,
        4.8001621442493985,
        4.800180742505238,
        4.800199340761077,
        4.800217939016917,
        4.800236537272755,
        4.8002551355285945,
        4.800273733784434,
        4.800292332040273,
        4.800310930296112,
        4.800329051673597,
        4.800347649929435,
        4.8003662481852745,
        4.800384846441114,
        4.800403444696953,
        4.800422042952792,
        4.800440641208631,
        4.8004592394644705,
        4.80047783772031,
        4.800496435976148,
        4.800514557353633,
        4.800533155609473,
        4.800551753865311,
        4.8005703521211505,
        4.80058895037699,
        4.800607548632828,
        4.800626146888668,
        4.800644745144507,
        4.800662866521991,
        4.80068146477783,
        4.80070006303367,
        4.800718661289509,
        4.800737259545348,
        4.800755857801187,
        4.8007744560570265,
        4.80079257743451,
        4.80081117569035,
        4.800829773946189,
        4.800848372202028,
        4.800866970457867,
        4.800885568713706,
        4.80090369009119,
        4.80092228834703,
        4.800940886602869,
        4.8009594848587085,
        4.800978083114547,
        4.800996681370386,
        4.80101480274787,
        4.80103340100371,
        4.801051999259549,
        4.8010705975153884,
        4.801089195771227,
        4.801107317148712,
        4.801125915404551,
        4.80114451366039,
        4.801163111916229,
        4.801181233293713,
        4.801199831549552,
        4.801218429805392,
        4.801237028061231,
        4.80125562631707,
        4.801273747694554,
        4.801292345950394,
        4.801310944206232,
        4.801329542462072,
        4.801347663839556,
        4.801366262095395,
        4.801384860351234,
        4.801403458607074,
        4.801421579984558,
        4.801440178240397,
        4.801458776496236,
        4.80147689787372,
        4.80149549612956,
        4.801514094385399,
        4.801532692641238,
        4.801550814018722,
        4.801569412274561,
        4.8015880105304,
        4.80160660878624,
        4.801624730163724,
        4.801643328419563,
        4.801661926675402,
        4.801680048052886,
        4.801698646308726,
        4.801717244564565,
        4.801735365942049,
        4.801753964197888,
        4.801772562453728,
        4.801790683831212,
        4.801809282087051,
        4.80182788034289,
        4.801846001720374,
        4.801864599976214,
        4.801883198232052,
        4.801901319609537,
        4.801919917865376,
        4.801938516121215,
        4.8019566374987,
        4.801975235754538,
        4.801993834010378,
        4.802011955387862,
        4.802030553643701,
        4.80204915189954,
        4.802067273277025,
        4.802085871532864,
        4.802104469788703,
        4.802122591166187,
        4.802141189422026,
        4.802159310799511,
        4.80217790905535,
        4.802196507311189,
        4.802214628688674,
        4.802233226944512,
        4.802251348321997,
        4.802269946577836,
        4.802288544833675,
        4.80230666621116,
        4.802325264466998,
        4.802343385844483,
        4.8023619841003224,
        4.802380582356161,
        4.802398703733646,
        4.802417301989484,
        4.802435423366969,
        4.802454021622808,
        4.802472143000292,
        4.802490741256132,
        4.802509339511971,
        4.802527460889455,
        4.802546059145294,
        4.802564180522778,
        4.802582778778618,
        4.802600900156102,
        4.802619498411941,
        4.802637619789425,
        4.802821694834398,
        4.802839816211882,
        4.802858414467721,
        4.802876535845205,
        4.802895134101044,
        4.802913255478528,
        4.802931853734368,
        4.8029499751118525,
        4.802968573367691,
        4.802986694745176,
        4.803005293001014,
        4.803023414378499,
        4.8030420126343385,
        4.803060134011822,
        4.803078255389306,
        4.803096853645146,
        4.8031149750226305,
        4.803133573278469,
        4.803151694655954,
        4.803170292911793,
        4.803188414289277,
        4.8032070125451165,
        4.8032251339226,
        4.80324373217844,
        4.803261853555924,
        4.8032799749334085,
        4.803298573189248,
        4.803316694566732,
        4.803335292822571,
        4.803353414200055,
        4.8033720124558945,
        4.803390133833378,
        4.803920899442327,
        4.803975740453135,
        4.804011983208103,
        4.804030581463942,
        4.804048702841427,
        4.804066824218911,
        4.80408542247475,
        4.804103543852234,
        4.804121665229719,
        4.804139786607203,
        4.804158384863042,
        4.804176506240526,
        4.804194627618011,
        4.80421322587385,
        4.804231347251334,
        4.804249468628819,
        4.804267590006303,
        4.804286188262142,
        4.804304309639626,
        4.804322431017111,
        4.804340552394595,
        4.804359150650434,
        4.804377272027918,
        4.804395393405403,
        4.804413991661241,
        4.804432113038726,
        4.80445023441621,
        4.804468355793695,
        4.804486477171179,
        4.804505075427018,
        4.804523196804502,
        4.804541318181987,
        4.804559439559471,
        4.80457803781531,
        4.804596159192794,
        4.804614280570279,
        4.804632401947763,
        4.804650523325248,
        4.804669121581086,
        4.804687242958571,
        4.804705364336055,
        4.80472348571354,
        4.804742083969378,
        4.804760205346863,
        4.804778326724347,
        4.804796448101832,
        4.804814569479316,
        4.8048326908568,
        4.804851289112639,
        4.804869410490124,
        4.804887531867608,
        4.8049056532450924,
        4.804923774622576,
        4.80494189600006,
        4.8049604942559,
        4.8049786156333845,
        4.804996737010868,
        4.805014858388352,
        4.805032979765837,
        4.805051101143321,
        4.80506969939916,
        4.805087820776645,
        4.805105942154129,
        4.805124063531613,
        4.805142184909098,
        4.805160306286582,
        4.8051784276640666,
        4.8051965490415505,
        4.80521514729739,
        4.805233268674874,
        4.805251390052359,
        4.8052695114298425,
        4.805287632807327,
        4.805305754184811,
        4.805323875562295,
        4.80534199693978,
        4.805360118317264,
        4.805378716573103,
        4.805396837950588,
        4.805414959328072,
        4.805433080705556,
        4.805451202083041,
        4.805469323460525,
        4.805487444838009,
        4.805505566215493,
        4.805523687592978,
        4.805541808970462,
        4.805559930347946,
        4.805578051725431,
        4.805596173102915,
        4.8056142944803995,
        4.805632892736238,
        4.805651014113723,
        4.805669135491207,
        4.8056872568686915,
        4.805705378246175,
        4.80572349962366,
        4.805741621001144,
        4.805759742378629,
        4.805777863756113,
        4.805795985133597,
        4.8058141065110815,
        4.8058322278885655,
        4.80585034926605,
        4.805868470643534,
        4.805886592021019,
        4.805904713398503,
        4.805922834775987,
        4.805940956153472,
        4.8059590775309555,
        4.80597719890844,
        4.805995320285924,
        4.806031563040893,
        4.806049684418377,
        4.806067805795862,
        4.806085927173346,
        4.80610404855083,
        4.806122169928314,
        4.806140291305799,
        4.806158412683283,
        4.806212776815736,
        4.806249019570704,
        4.806447877844677,
        4.806465999222161,
        4.806484120599646,
        4.80650224197713,
        4.806519886476259,
        4.806538007853744,
        4.806556129231228,
        4.806574250608712,
        4.806592371986197,
        4.806610493363681,
        4.806628614741165,
        4.806646736118649,
        4.806664857496134,
        4.806682978873618,
        4.806700623372747,
        4.806718744750232,
        4.806736866127716,
        4.806754987505201,
        4.806773108882685,
        4.806791230260169,
        4.8068093516376535,
        4.806826996136783,
        4.806845117514267,
        4.806863238891752,
        4.8068813602692355,
        4.80689948164672,
        4.806917603024204,
        4.806935724401689,
        4.806953368900818,
        4.806971490278302,
        4.808715672861166,
        4.809389740415746,
        4.8120607360812615,
        4.81208219560723,
        4.812103655133198,
        4.812125114659167,
        4.8157212543330905,
        4.815742713859059,
        4.815763696506672,
        4.8157846791542855,
        4.815806138680254,
        4.815827121327867,
        4.815848103975481,
        4.815869086623094,
        4.815890546149062,
        4.815911528796676,
        4.815932511444289,
        4.8159539709702575,
        4.815974953617871,
        4.815995936265485,
        4.816016918913098,
        4.816038378439066,
        4.81605936108668,
        4.816080343734293,
        4.816101326381906,
        4.816122785907875,
        4.816143768555488,
        4.816164751203101,
        4.816185733850714,
        4.816206716498328,
        4.816228176024296,
        4.816249158671909,
        4.8162701413195235,
        4.816291123967137,
        4.816312583493104,
        4.8163335661407185,
        4.816354548788332,
        4.816375531435945,
        4.816396514083558,
        4.816417973609527,
        4.81643895625714,
        4.816459938904753,
        4.816480921552367,
        4.81650190419998,
        4.8165228868475936,
        4.816544346373562,
        4.816565329021175,
        4.816586311668789,
        4.816607294316402,
        4.816628276964016,
        4.816649259611629,
        4.816670719137597,
        4.816691701785211,
        4.816712684432824,
        4.816733667080437,
        4.8167546497280505,
        4.8167756323756645,
        4.816796615023278,
        4.816817597670891,
        4.81683905719686,
        4.816860039844473,
        4.816881022492086,
        4.816902005139699,
        4.816922987787312,
        4.816943970434926,
        4.81696495308254,
        4.816985935730153,
        4.817006918377766,
        4.81702790102538,
        4.817049360551348,
        4.817070343198961,
        4.817091325846575,
        4.817112308494188,
        4.817133291141801,
        4.817154273789415,
        4.817175256437029,
        4.817196239084642,
        4.817217221732255,
        4.817238204379868,
        4.817259187027482,
        4.8172801696750955,
        4.817301152322709,
        4.817322134970322,
        4.817343117617936,
        4.817364100265549,
        4.817385082913162,
        4.8174060655607756,
        4.81742704820839,
        4.817448030856003,
        4.817469013503616,
        4.817489996151229,
        4.817510978798843,
        4.8175319614464565,
        4.81755294409407,
        4.817573926741683,
        4.817594909389296,
        4.81761589203691,
        4.817636874684523,
        4.8176578573321365,
        4.81767883997975,
        4.817699822627364,
        4.817720805274977,
        4.81774178792259,
        4.817762770570203,
        4.817783753217817,
        4.817804735865431,
        4.817825718513044,
        4.817846701160657,
        4.817867683808271,
        4.817888666455884,
        4.817909649103497,
        4.817930631751111,
        4.817951137520369,
        4.817972120167982,
        4.8179931028155965,
        4.81801408546321,
        4.818035068110823,
        4.818056050758436,
        4.81807703340605,
        4.818098016053663,
        4.8181189987012765,
        4.81813998134889,
        4.818160963996504,
        4.818181469765762,
        4.8182024524133755,
        4.818223435060989,
        4.818244417708602,
        4.818265400356216,
        4.818286383003829,
        4.818307365651442,
        4.818327871420701,
        4.818348854068314,
        4.818369836715927,
        4.818390819363541,
        4.818411802011155,
        4.818432784658768,
        4.818453767306381,
        4.81847427307564,
        4.818495255723254,
        4.818516238370867,
        4.81853722101848,
        4.818558203666093,
        4.818578709435352,
        4.818599692082965,
        4.818620674730579,
        4.818641657378192,
        4.8186626400258055,
        4.818683145795064,
        4.818704128442677,
        4.818725111090291,
        4.8187460937379045,
        4.818767076385518,
        4.818787582154776,
        4.8188085648023895,
        4.818829547450004,
        4.818850530097617,
        4.818871035866875,
        4.818892018514489,
        4.818913001162102,
        4.818933983809715,
        4.8189544895789735,
        4.818975472226588,
        4.818996454874201,
        4.819017437521814,
        4.819037943291073,
        4.819058925938686,
        4.819079908586299,
        4.819100891233913,
        4.819121397003172,
        4.819142379650785,
        4.819163362298398,
        4.819183868067657,
        4.81920485071527,
        4.819225833362884,
        4.819246816010497,
        4.819267321779756,
        4.819288304427369,
        4.819309287074982,
        4.819329792844241,
        4.819350775491854,
        4.819371758139468,
        4.8193922639087265,
        4.81941324655634,
        4.819434229203953,
        4.8194547349732115,
        4.819475717620825,
        4.819496700268438,
        4.8195172060376965,
        4.819538188685311,
        4.819559171332924,
        4.819579677102182,
        4.819600659749796,
        4.819621165519054,
        4.819642148166667,
        4.819663130814281,
        4.819683636583539,
        4.819704619231153,
        4.819725601878766,
        4.819746107648025,
        4.819767090295638,
        4.819787596064897,
        4.81980857871251,
        4.819829561360124,
        4.819850067129382,
        4.819871049776996,
        4.8198915555462545,
        4.819912538193868,
        4.819933043963126,
        4.8199540266107395,
        4.819975009258353,
        4.819995515027611,
        4.820016497675224,
        4.820037003444483,
        4.820057986092097,
        4.820078491861356,
        4.820099474508969,
        4.8201199802782275,
        4.820140962925841,
        4.820161945573454,
        4.8201824513427125,
        4.820203433990326,
        4.820223939759584,
        4.820244922407198,
        4.820265428176457,
        4.82028641082407,
        4.820306916593329,
        4.820327899240942,
        4.820348405010201,
        4.820369387657814,
        4.820389893427072,
        4.8204108760746855,
        4.820431381843944,
        4.820452364491558,
        4.820472870260816,
        4.82049385290843,
        4.820514358677689,
        4.820535341325302,
        4.82055584709456,
        4.820576829742174,
        4.820597335511432,
        4.820617841280691,
        4.820638823928304,
        4.820659329697563,
        4.820680312345176,
        4.820700818114434,
        4.8207218007620485,
        4.820742306531306,
        4.82076328917892,
        4.820783794948179,
        4.8208043007174375,
        4.820825283365051,
        4.820845789134309,
        4.8208667717819225,
        4.820887277551181,
        4.82090778332044,
        4.820928765968053,
        4.8209492717373115,
        4.820970254384925,
        4.820990760154183,
        4.821011265923442,
        4.821032248571055,
        4.821052754340314,
        4.821858201881656,
        4.821878707650915,
        4.821899690298528,
        4.821920196067786,
        4.821940701837045,
        4.821961207606304,
        4.821982190253917,
        4.822002696023175,
        4.822023201792434,
        4.822043707561693,
        4.822064213330951,
        4.822085195978564,
        4.822105701747823,
        4.822126207517082,
        4.82214671328634,
        4.822167219055599,
        4.822188201703212,
        4.822208707472471,
        4.822229213241729,
        4.822249719010988,
        4.8222702247802465,
        4.822290730549505,
        4.822311713197118,
        4.822332218966377,
        4.8223527247356355,
        4.822373230504894,
        4.822393736274153,
        4.82241424204341,
        4.8224352246910245,
        4.822455730460283,
        4.822476236229542,
        4.8224967419988,
        4.822517247768058,
        4.822537753537317,
        4.822743288108257,
        4.822763793877516,
        4.8227842996467745,
        4.822804805416033,
        4.822825788063646,
        4.822846293832905,
        4.8228667996021635,
        4.822887305371422,
        4.822907811140681,
        4.822928316909939,
        4.822948822679198,
        4.8229693284484565,
        4.822989834217715,
        4.823010339986974,
        4.823030845756232,
        4.82305135152549,
        4.823071857294749,
        4.823092363064007,
        4.823112868833266,
        4.8231333746025244,
        4.823153880371783,
        4.823174386141042,
        4.8231948919103,
        4.823215397679559,
        4.8232359034488175,
        4.823256409218076,
        4.823276914987335,
        4.823297420756593,
        4.823317926525852,
        4.8233384322951105,
        4.823358938064369,
        4.823379443833627,
        4.823399949602885,
        4.823420455372144,
        4.823440961141403,
        4.823461466910661,
        4.82348197267992,
        4.8235024784491785,
        4.823522984218437,
        4.823543489987696,
        4.823563995756954,
        4.823584501526213,
        4.8236050072954715,
        4.82362551306473,
        4.823646018833989,
        4.823666524603247,
        4.82368655349415,
        4.823707059263409,
        4.8237890823404435,
        4.823809588109702,
        4.823830093878961,
        4.823850599648219,
        4.823871105417478,
        4.823891134308381,
        4.82391164007764,
        4.823932145846898,
        4.823952651616157,
        4.823973157385415,
        4.823993663154674,
        4.824014168923933,
        4.824034674693191,
        4.824054703584095,
        4.824075209353354,
        4.824095715122612,
        4.82411622089187,
        4.824136726661129,
        4.824157232430387,
        4.824177738199646,
        4.82419776709055,
        4.824218272859809,
        4.824238778629067,
        4.824259284398326,
        4.8242797901675845,
        4.824300295936843,
        4.824320324827746,
        4.824340830597005,
        4.824361336366263,
        4.824381842135522,
        4.824402347904781,
        4.824422376795685,
        4.824442882564943,
        4.824463388334201,
        4.82448389410346,
        4.824504399872718,
        4.824524428763622,
        4.824544934532881,
        4.824565440302139,
        4.824585946071398,
        4.824605974962301,
        4.82462648073156,
        4.824646986500818,
        4.824667492270077,
        4.824687521160981,
        4.82470802693024,
        4.824728532699498,
        4.824749038468757,
        4.82476906735966,
        4.8247895731289185,
        4.824810078898177,
        4.824830584667436,
        4.82485061355834,
        4.824871119327598,
        4.824891625096857,
        4.82491165398776,
        4.824932159757019,
        4.824952665526277,
        4.824973171295536,
        4.82499320018644,
        4.825013705955699,
        4.825034211724957,
        4.82505424061586,
        4.825074746385119,
        4.8250952521543775,
        4.8251152810452815,
        4.82513578681454,
        4.825156292583799,
        4.825176321474702,
        4.8251968272439605,
        4.825217333013219,
        4.825237361904123,
        4.825257867673382,
        4.825542564051227,
        4.825562592942131,
        4.825583098711389,
        4.825603604480648,
        4.825623633371552,
        4.8256441391408105,
        4.825664168031714,
        4.825684673800972,
        4.825704702691876,
        4.825725208461135,
        4.8257457142303934,
        4.825765743121297,
        4.825786248890555,
        4.825806277781459,
        4.825826783550718,
        4.825846812441621,
        4.8258673182108796,
        4.825887347101784,
        4.825907852871042,
        4.825928358640301,
        4.825948387531204,
        4.8259688933004625,
        4.8259889221913665,
        4.826009427960625,
        4.826029456851529,
        4.826049962620788,
        4.826069991511691,
        4.8260904972809495,
        4.8261105261718535,
        4.826131031941112,
        4.826394268792989,
        4.826414297683892,
        4.826434803453151,
        4.826454832344055,
        4.826475338113314,
        4.826495367004218,
        4.826515872773476,
        4.826535901664379,
        4.826555930555283,
        4.826576436324542,
        4.826596465215445,
        4.826616970984704,
        4.826636999875608,
        4.826657505644866,
        4.82667753453577,
        4.8266975634266736,
        4.826718069195932,
        4.826738098086836,
        4.826758603856095,
        4.826778632746998,
        4.826798661637902,
        4.8268191674071605,
        4.826839196298065,
        4.826859225188968,
        4.826879730958226,
        4.82689975984913,
        4.826920265618389,
        4.826940294509292,
        4.826960323400196,
        4.826980829169455,
        4.827000858060359,
        4.827020886951262,
        4.8270413927205205,
        4.8270614216114245,
        4.827081450502328,
        4.827101956271586,
        4.82712198516249,
        4.827142014053394,
        4.827162519822653,
        4.827182548713556,
        4.82720257760446,
        4.827223083373719,
        4.827243112264622,
        4.827263141155526,
        4.827283646924784,
        4.827303675815688,
        4.827323704706592,
        4.827343733597496,
        4.827364239366754,
        4.827384268257658,
        4.827404297148561,
        4.82742480291782,
        4.827444831808724,
        4.827464860699627,
        4.827484889590531,
        4.82750539535979,
        4.827525424250694,
        4.827545453141597,
        4.827565482032501,
        4.8275859878017595,
        4.827606016692663,
        4.827626045583567,
        4.827646074474471,
        4.827666580243729,
        4.827686609134632,
        4.8277066380255365,
        4.8277266669164405,
        4.827747172685699,
        4.827767201576602,
        4.827787230467506,
        4.827807259358409,
        4.827827288249313,
        4.827847794018572,
        4.827867822909476,
        4.827887851800379,
        4.827907880691283,
        4.827927909582187,
        4.827948415351445,
        4.827968444242349,
        4.827988473133253,
        4.828008502024156,
        4.82802853091506,
        4.828049036684319,
        4.828069065575223,
        4.828089094466126,
        4.82810912335703,
        4.828129152247934,
        4.828149181138837,
        4.828169686908096,
        4.828189715799,
        4.828209744689903,
        4.828229773580807,
        4.828249802471711,
        4.828269831362614,
        4.828289860253518,
        4.828309889144422,
        4.828330394913681,
        4.828350423804584,
        4.828370452695488,
        4.828390481586391,
        4.828410510477295,
        4.828430539368199,
        4.828450568259102,
        4.828470597150006,
        4.82849062604091,
        4.828511131810169,
        4.828531160701072,
        4.828551189591976,
        4.828571218482879,
        4.828591247373783,
        4.828611276264687,
        4.82863130515559,
        4.828651334046494,
        4.828671362937398,
        4.828691391828301,
        4.8287114207192054,
        4.8287314496101095,
        4.828751478501013,
        4.828771507391917,
        4.828791536282821,
        4.828812042052078,
        4.828832070942982,
        4.828852099833886,
        4.8288721287247895,
        4.828892157615694,
        4.828912186506598,
        4.828932215397501,
        4.828952244288405,
        4.828972273179309,
        4.828992302070212,
        4.829012330961116,
        4.829032359852019,
        4.829052388742923,
        4.829072417633827,
        4.82909244652473,
        4.829112475415634,
        4.829132504306538,
        4.829152533197441,
        4.829172562088345,
        4.8291925909792495,
        4.829212619870153,
        4.829232648761057,
        4.82925267765196,
        4.829272706542864,
        4.829292258555412,
        4.829312287446316,
        4.82933231633722,
        4.8293523452281235,
        4.8293723741190275,
        4.8293924030099316,
        4.829412431900835,
        4.829432460791739,
        4.829452489682643,
        4.829472518573546,
        4.82949254746445,
        4.829512576355353,
        4.829532605246257,
        4.829552634137161,
        4.829572663028064,
        4.829592215040614,
        4.829612243931517,
        4.829632272822421,
        4.829652301713325,
        4.829672330604228,
        4.829692359495132,
        4.830031896883785,
        4.830051448896334,
        4.8300714777872376,
        4.830091506678142,
        4.830111535569045,
        4.830131564459949,
        4.830151116472497,
        4.830171145363401,
        4.830191174254305,
        4.8302112031452085,
        4.8302312320361125,
        4.830250784048661,
        4.830270812939565,
        4.830290841830469,
        4.830310870721372,
        4.830330899612276,
        4.830350451624825,
        4.830370480515729,
        4.830390509406632,
        4.830410538297536,
        4.8304300903100845,
        4.8304501192009885,
        4.830470148091893,
        4.830490176982796,
        4.830509728995345,
        4.830529757886248,
        4.830549786777152,
        4.830569815668056,
        4.830589367680605,
        4.830609396571509,
        4.830629425462412,
        4.830649454353316,
        4.830669006365865,
        4.830689035256769,
        4.830709064147672,
        4.830729093038576,
        4.830748645051124,
        4.830768673942028,
        4.830788702832932,
        4.830808254845481,
        4.830828283736385,
        4.830848312627288,
        4.8308678646398375,
        4.830887893530741,
        4.830907922421645,
        4.830927474434193,
        4.830947503325097,
        4.830967532216001,
        4.83098708422855,
        4.831007113119454,
        4.831027142010357,
        4.831046694022906,
        4.83106672291381,
        4.831086751804714,
        4.831106303817262,
        4.831126332708166,
        4.831146361599069,
        4.831165913611619,
        4.831185942502522,
        4.831205971393426,
        4.831225523405974,
        4.8312455522968785,
        4.831265104309427,
        4.831285133200331,
        4.831305162091235,
        4.831324714103784,
        4.831344742994688,
        4.831364771885591,
        4.83138432389814,
        4.831404352789043,
        4.831423904801593,
        4.831443933692496,
        4.8314634857050445,
        4.8314835145959485,
        4.8315035434868525,
        4.831523095499401,
        4.831543124390305,
        4.831562676402854,
        4.831582705293758,
        4.831602257306306,
        4.83162228619721,
        4.831642315088113,
        4.831661867100663,
        4.831681895991566,
        4.831701448004115,
        4.8317214768950185,
        4.831741028907568,
        4.831761057798471,
        4.8317806098110205,
        4.831800638701924,
        4.831820190714473,
        4.831840219605376,
        4.83186024849628,
        4.831879800508829,
        4.831899829399733,
        4.831919381412281,
        4.831939410303185,
        4.831958962315734,
        4.831978991206638,
        4.8319985432191865,
        4.832018572110091,
        4.832038124122639,
        4.832058153013543,
        4.832077705026092,
        4.83209725703864,
        4.832117285929544,
        4.832136837942093,
        4.832156866832997,
        4.832176418845545,
        4.832196447736449,
        4.832215999748998,
        4.832236028639902,
        4.8322555806524505,
        4.8322756095433546,
        4.832295161555903,
        4.832315190446807,
        4.832334742459356,
        4.832354294471905,
        4.832374323362808,
        4.832393875375358,
        4.832413904266261,
        4.83243345627881,
        4.832453485169713,
        4.832473037182263,
        4.832492589194811,
        4.8325126180857145,
        4.832532170098264,
        4.832552198989167,
        4.8325717510017165,
        4.832591303014265,
        4.832611331905169,
        4.832630883917718,
        4.832650912808622,
        4.83267046482117,
        4.832690016833719,
        4.832710045724623,
        4.832729597737171,
        4.832749149749721,
        4.832769178640624,
        4.832788730653173,
        4.832808282665722,
        4.832828311556626,
        4.8328478635691745,
        4.8328678924600785,
        4.832887444472627,
        4.832906996485176,
        4.83292702537608,
        4.832946577388628,
        4.832966129401178,
        4.832986158292081,
        4.83300571030463,
        4.833025262317179,
        4.833045291208083,
        4.833064843220631,
        4.83308439523318,
        4.833103947245729,
        4.8331239761366325,
        4.833143528149182,
        4.8331630801617305,
        4.8331831090526345,
        4.833202661065183,
        4.833222213077732,
        4.833242241968636,
        4.833261793981184,
        4.833281345993734,
        4.833300898006282,
        4.833320926897186,
        4.833340478909735,
        4.833733903552486,
        4.833753455565034,
        4.833773007577584,
        4.833792559590132,
        4.833812111602681,
        4.83383166361523,
        4.8338516925061334,
        4.833871244518683,
        4.833890796531231,
        4.83391034854378,
        4.833929900556329,
        4.833949929447233,
        4.833969481459782,
        4.8339890334723306,
        4.834008585484879,
        4.83408727041343,
        4.834106822425978,
        4.834126374438528,
        4.834145926451076,
        4.834165478463625,
        4.834185030476174,
        4.834204582488723,
        4.834224134501271,
        4.834244163392175,
        4.834263715404724,
        4.834283267417273,
        4.834302819429822,
        4.83432237144237,
        4.83434192345492,
        4.834361475467468,
        4.834381027480017,
        4.834400579492566,
        4.834420131505115,
        4.834440160396019,
        4.8344597124085675,
        4.834479264421116,
        4.8344988164336655,
        4.834518368446214,
        4.834537920458763,
        4.834557472471312,
        4.834577024483861,
        4.834596576496409,
        4.834616128508959,
        4.834635680521507,
        4.834655232534056,
        4.834674784546605,
        4.834694336559154,
        4.834713888571702,
        4.834733440584252,
        4.8347529925968,
        4.83477254460935,
        4.834792096621898,
        4.834811648634447,
        4.834831200646996,
        4.834850752659545,
        4.834870304672093,
        4.834889856684643,
        4.834909408697191,
        4.83492896070974,
        4.834948512722289,
        4.834968064734838,
        4.834987616747386,
        4.835007168759936,
        4.835026720772484,
        4.835046272785033,
        4.835065824797582,
        4.835085376810131,
        4.8351049288226795,
        4.835124480835229,
        4.8351440328477775,
        4.835163584860326,
        4.8351831368728755,
        4.835202688885424,
        4.835222240897973,
        4.835241792910522,
        4.835261344923071,
        4.835280896935619,
        4.835300448948169,
        4.835320000960717,
        4.835339552973266,
        4.835359104985815,
        4.835378656998364,
        4.835397732132558,
        4.835417284145106,
        4.835436836157656,
        4.835456388170204,
        4.835475940182753,
        4.835495492195302,
        4.835515044207851,
        4.835534596220399,
        4.835554148232949,
        4.835573700245497,
        4.835592775379691,
        4.83561232739224,
        4.835631879404789,
        4.835651431417338,
        4.835670983429886,
        4.835690535442436,
        4.835710087454984,
        4.835729639467533,
        4.835748714601727,
        4.835768266614276,
        4.835787818626825,
        4.835807370639373,
        4.835826922651923,
        4.835846474664471,
        4.835865549798665,
        4.835885101811215,
        4.835904653823763,
        4.835924205836312,
        4.835943757848861,
        4.83596330986141,
        4.835982384995604,
        4.836001937008152,
        4.836021489020702,
        4.83604104103325,
        4.836060593045799,
        4.836079668179993,
        4.836099220192542,
        4.836118772205091,
        4.8361383242176395,
        4.836157876230189,
        4.836176951364383,
        4.836196503376931,
        4.83621605538948,
        4.836235607402029,
        4.836255159414578,
        4.836274234548772,
        4.8362937865613205,
        4.83631333857387,
        4.8363328905864185,
        4.836351965720612,
        4.836371517733161,
        4.83639106974571,
        4.836410621758259,
        4.836429696892453,
        4.8364492489050015,
        4.836468800917551,
        4.8364883529300995,
        4.8365074280642935,
        4.836526980076843,
        4.8365465320893914,
        4.83656608410194,
        4.836585159236134,
        4.836604711248683,
        4.836624263261232,
        4.836643338395426,
        4.8366628904079745,
        4.836682442420524,
        4.836701517554718,
        4.836721069567266,
        4.836740621579815,
        4.836760173592364,
        4.836779248726558,
        4.836798800739107,
        4.8368183527516555,
        4.8368374278858495,
        4.836856979898399,
        4.836895607045141,
        4.83691515905769,
        4.837360563441121,
        4.837380115453669,
        4.837399190587863,
        4.837418742600412,
        4.837438294612961,
        4.837457369747155,
        4.837476921759704,
        4.837495996893898,
        4.837515548906446,
        4.83753462404064,
        4.83755417605319,
        4.837573728065738,
        4.837592803199932,
        4.837612355212481,
        4.837631430346675,
        4.837650982359224,
        4.837670057493418,
        4.837689609505967,
        4.837708684640161,
        4.83772823665271,
        4.837747311786904,
        4.837766863799453,
        4.837785938933647,
        4.837805490946195,
        4.837824566080389,
        4.837844118092939,
        4.8378631932271325,
        4.837882745239681,
        4.837901820373875,
        4.837921372386424,
        4.837940447520618,
        4.837959999533167,
        4.837979074667361,
        4.8379986266799095,
        4.8380177018141035,
        4.838037253826653,
        4.838056328960847,
        4.8380758809733955,
        4.838094956107589,
        4.838114508120138,
        4.838133583254332,
        4.838153135266881,
        4.838172210401075,
        4.838191285535269,
        4.838210837547818,
        4.838229912682012,
        4.83824946469456,
        4.838268539828754,
        4.838288091841304,
        4.838307166975498,
        4.838326242109692,
        4.83834579412224,
        4.838364869256434,
        4.838384421268984,
        4.838403496403178,
        4.838423048415726,
        4.83844212354992,
        4.838461198684114,
        4.838480750696663,
        4.838499825830857,
        4.838519377843406,
        4.8385384529776,
        4.838557528111794,
        4.838577080124343,
        4.838596155258537,
        4.838615230392731,
        4.83863478240528,
        4.838653857539474,
        4.8386734095520225,
        4.8386924846862165,
        4.8387115598204105,
        4.838731111832959,
        4.838750186967153,
        4.838769262101347,
        4.838788814113896,
        4.83880788924809,
        4.838826964382284,
        4.838846516394833,
        4.838865591529027,
        4.838884666663221,
        4.83890421867577,
        4.838923293809964,
        4.838942368944158,
        4.838961920956707,
        4.838980996090901,
        4.839000071225095,
        4.839019623237643,
        4.839038698371837,
        4.839057773506031,
        4.839077325518581,
        4.839096400652775,
        4.8391154757869685,
        4.8391345509211625,
        4.839154102933711,
        4.839173178067905,
        4.839192253202099,
        4.839211805214648,
        4.839230880348842,
        4.839249955483036,
        4.83926903061723,
        4.839288582629779,
        4.839307657763973,
        4.839326732898167,
        4.839345808032361,
        4.83936536004491,
        4.839384435179104,
        4.839403510313298,
        4.839422585447492,
        4.839442137460041,
        4.839461212594235,
        4.839480287728429,
        4.839499362862623,
        4.839518437996817,
        4.839537990009365,
        4.83955706514356,
        4.839576140277754,
        4.839595215411948,
        4.8396147674244965,
        4.8396338425586904,
        4.839652917692884,
        4.839671992827078,
        4.839691067961272,
        4.839710619973821,
        4.839729695108015,
        4.839748770242209,
        4.839767845376404,
        4.839786920510598,
        4.839805995644792,
        4.83982554765734,
        4.839844622791534,
        4.839863697925728,
        4.839882773059922,
        4.839901848194116,
        4.83992092332831,
        4.839940475340859,
        4.8399595504750526,
        4.839978625609247,
        4.839997700743441,
        4.840016775877635,
        4.840035851011829,
        4.840054926146023,
        4.840074478158572,
        4.840093553292766,
        4.84011262842696,
        4.840131703561154,
        4.840150778695348,
        4.840169853829542,
        4.840188928963736,
        4.84020800409793,
        4.840227556110479,
        4.840246631244673,
        4.840265706378867,
        4.840322931781449,
        4.840361082049837,
        4.841695387686707,
        4.841733537955095,
        4.841752613089289,
        4.8417902864793225,
        4.841923335540326,
        4.84194241067452,
        4.841961485808714,
        4.841980560942908,
        4.842037309467135,
        4.842056384601329,
        4.842075459735523,
        4.842094057991361,
        4.842113133125555,
        4.842132208259749,
        4.842151283393943,
        4.842170358528138,
        4.842227107052365,
        4.842264780442398,
        4.842283855576592,
        4.842378754369207,
        4.842397829503401,
        4.84329149954039,
        4.844792712601458,
        4.844811310857297,
        4.844867582503169,
        4.844905255893202,
        4.844961527539075,
        4.844980125794914,
        4.844998724050753,
        4.845017799184947,
        4.845036397440786,
        4.845054995696626,
        4.84507407083082,
        4.845092669086658,
        4.845111267342498,
        4.845129865598337,
        4.845148940732531,
        4.84516753898837,
        4.845186137244209,
        4.845205212378403,
        4.845223810634242,
        4.845242408890082,
        4.845261007145921,
        4.845280082280115,
        4.8452986805359535,
        4.845317278791793,
        4.845335877047632,
        4.845354952181826,
        4.845373550437666,
        4.845392148693504,
        4.8454107469493435,
        4.8454298220835375,
        4.845448420339377,
        4.845467018595216,
        4.845485616851055,
        4.845504691985249,
        4.845523290241088,
        4.8455418884969275,
        4.845560486752767,
        4.845579561886961,
        4.845598160142799,
        4.845616758398639,
        4.845635356654478,
        4.8456539549103175,
        4.845673030044511,
        4.84569162830035,
        4.845710226556189,
        4.845728824812029,
        4.845747423067868,
        4.845766498202062,
        4.845785096457901,
        4.84580369471374,
        4.845822292969579,
        4.845840891225419,
        4.845859489481257,
        4.845878564615451,
        4.845897162871291,
        4.84591576112713,
        4.845934359382969,
        4.845952957638808,
        4.845971555894647,
        4.845990631028841,
        4.846009229284681,
        4.84602782754052,
        4.8460464257963585,
        4.846065024052198,
        4.846083622308037,
        4.846102220563876,
        4.846121295698071,
        4.846139893953909,
        4.8461584922097485,
        4.846177090465588,
        4.846195688721426,
        4.846214286977266,
        4.846232885233105,
        4.8462514834889445,
        4.846270081744783,
        4.846289156878977,
        4.846307755134816,
        4.846326353390656,
        4.846344951646495,
        4.846363549902334,
        4.846382148158173,
        4.846400746414012,
        4.846419344669852,
        4.84643794292569,
        4.84645654118153,
        4.846475139437369,
        4.8464937376932085,
        4.846512335949047,
        4.846531411083241,
        4.84655000933908,
        4.84656860759492,
        4.846587205850759,
        4.846605804106598,
        4.846624402362437,
        4.846643000618276,
        4.846661598874115,
        4.846680197129954,
        4.846698795385794,
        4.846717393641633,
        4.8467359918974715,
        4.846754590153311,
        4.84677318840915,
        4.84679178666499,
        4.846810384920828,
        4.8468289831766675,
        4.846847581432507,
        4.846866179688346,
        4.846884777944185,
        4.846903376200024,
        4.846921974455864,
        4.846940572711702,
        4.8469591709675415,
        4.846977769223381,
        4.84699636747922,
        4.847014965735059,
        4.847033563990898,
        4.8470521622467375,
        4.847070760502577,
        4.847089358758415,
        4.847107957014255,
        4.847126555270094,
        4.847145153525934,
        4.847163751781772,
        4.847182350037611,
        4.847200948293451,
        4.84721954654929,
        4.847238144805129,
        4.847256743060968,
        4.847274864438452,
        4.847293462694291,
        4.847312060950131,
        4.84733065920597,
        4.847349257461809,
        4.847367855717648,
        4.847386453973487,
        4.847405052229327,
        4.847423650485165,
        4.847442248741005,
        4.847460846996844,
        4.8474794452526835,
        4.847498043508522,
        4.847516164886007,
        4.847534763141845,
        4.847553361397685,
        4.847571959653524,
        4.847590557909363,
        4.847609156165202,
        4.847627754421041,
        4.847646352676881,
        4.847664474054365,
        4.847683072310204,
        4.847701670566043,
        4.847720268821882,
        4.848386467883608,
        4.848405066139447,
        4.848423664395286,
        4.848441785772771,
        4.848460384028609,
        4.8484789822844485,
        4.848497580540288,
        4.848515701917772,
        4.848534300173611,
        4.848552898429451,
        4.84857149668529,
        4.848589618062774,
        4.848608216318613,
        4.848626814574453,
        4.848645412830291,
        4.848663534207776,
        4.8486821324636145,
        4.848700730719454,
        4.848718852096939,
        4.848737450352777,
        4.8487560486086165,
        4.8487741699861004,
        4.84879276824194,
        4.848811366497779,
        4.848829964753619,
        4.8488480861311025,
        4.848866684386942,
        4.848885282642781,
        4.848903404020265,
        4.848922002276105,
        4.848940600531944,
        4.848958721909428,
        4.848977320165267,
        4.848995918421106,
        4.849014039798591,
        4.84903263805443,
        4.849050759431914,
        4.849069357687753,
        4.849087955943592,
        4.849106077321077,
        4.849124675576916,
        4.8491432738327545,
        4.849161395210239,
        4.849179993466079,
        4.849198591721917,
        4.849216713099402,
        4.84923531135524,
        4.849253432732725,
        4.849272030988565,
        4.849290629244403,
        4.849308750621888,
        4.849327348877727,
        4.849345470255211,
        4.849364068511051,
        4.849382666766889,
        4.849400788144374,
        4.849419386400213,
        4.849437507777697,
        4.849456106033537,
        4.849474704289376,
        4.84949282566686,
        4.849511423922699,
        4.849529545300183,
        4.849548143556023,
        4.8495662649335065,
        4.849584863189346,
        4.849603461445185,
        4.849621582822669,
        4.849640181078509,
        4.8496583024559925,
        4.849676900711832,
        4.849695022089317,
        4.849713620345155,
        4.84973174172264,
        4.8497503399784785,
        4.849768461355963,
        4.849787059611803,
        4.849805180989287,
        4.849823779245126,
        4.849842377500965,
        4.849860498878449,
        4.849879097134289,
        4.849897218511773,
        4.849915816767612,
        4.849933938145096,
        4.849952536400935,
        4.849970657778419,
        4.849989256034259,
        4.850007377411743,
        4.850025975667582,
        4.850044097045067,
        4.850062695300906,
        4.85008081667839,
        4.850098938055874,
        4.850117536311713,
        4.850135657689198,
        4.850154255945037,
        4.850172377322521,
        4.85019097557836,
        4.850209096955845,
        4.850227695211684,
        4.850245816589168,
        4.850264414845007,
        4.850282536222491,
        4.850301134478331,
        4.850319255855815,
        4.850337377233299,
        4.850355975489139,
        4.850374096866623,
        4.850392695122462,
        4.850410816499946,
        4.850429414755785,
        4.850447536133269,
        4.850465657510754,
        4.8504842557665935,
        4.850502377144077,
        4.850520975399917,
        4.850539096777401,
        4.8505572181548855,
        4.850575816410724,
        4.850593937788209,
        4.850612536044047,
        4.850630657421532,
        4.850648778799016,
        4.850667377054855,
        4.85068549843234,
        4.850704096688179,
        4.8507222180656635,
        4.850740339443147,
        4.850758937698987,
        4.850777059076471,
        4.8507951804539555,
        4.850813778709794,
        4.850831900087279,
        4.850850498343118,
        4.850868619720602,
        4.850886741098087,
        4.850905339353925,
        4.85092346073141,
        4.850941582108894,
        4.8509601803647335,
        4.8509783017422174,
        4.850996423119702,
        4.851015021375541,
        4.8510331427530256,
        4.8510512641305095,
        4.851069862386349,
        4.851087983763833,
        4.851106105141318,
        4.8511242265188015,
        4.851142824774641,
        4.851160946152126,
        4.85117906752961,
        4.851197665785449,
        4.851233908540418,
        4.851252506796256,
        4.851270628173741,
        4.853902519814158,
        4.8569359430293595,
        4.856957879433682,
        4.8569793389596505,
        4.857001275363974,
        4.8570227348899415,
        4.85704419441591,
        4.857066130820233,
        4.857087590346201,
        4.857109526750524,
        4.857130986276493,
        4.857152922680815,
        4.857174382206784,
        4.857195841732753,
        4.857217778137075,
        4.857239237663044,
        4.857261174067367,
        4.857282633593335,
        4.8573040931193034,
        4.857326029523627,
        4.8573474890495945,
        4.857368948575563,
        4.857390884979886,
        4.857412344505854,
        4.857434280910177,
        4.857455740436146,
        4.857477199962114,
        4.857499136366437,
        4.857520595892405,
        4.8575420554183735,
        4.857563991822697,
        4.8575854513486645,
        4.857606910874633,
        4.857628847278956,
        4.857650306804924,
        4.857671766330893,
        4.857693702735216,
        4.857715162261184,
        4.8577366217871525,
        4.857758558191476,
        4.8577800177174435,
        4.857801477243412,
        4.857823413647735,
        4.857844873173703,
        4.857866332699672,
        4.85788779222564,
        4.857909728629963,
        4.8579311881559315,
        4.857952647681899,
        4.857974107207868,
        4.85799604361219,
        4.858017503138159,
        4.858038962664128,
        4.85806089906845,
        4.858082358594419,
        4.858103818120386,
        4.858125277646355,
        4.858147214050678,
        4.858168673576646,
        4.858190133102615,
        4.8582115926285825,
        4.858233052154551,
        4.858254988558874,
        4.858276448084842,
        4.858297907610811,
        4.858319367136779,
        4.858341303541102,
        4.8583627630670705,
        4.858384222593038,
        4.858405682119007,
        4.858427141644975,
        4.858449078049298,
        4.858470537575267,
        4.858491997101234,
        4.858513456627203,
        4.858534916153171,
        4.8585563756791394,
        4.858578312083463,
        4.8585997716094305,
        4.858621231135399,
        4.858642690661367,
        4.8586641501873356,
        4.859244988023543,
        4.859266447549511,
        4.85928790707548,
        4.8593093666014475,
        4.859330826127416,
        4.859352285653384,
        4.859373745179353,
        4.85939520470532,
        4.859416664231289,
        4.859438123757257,
        4.8594595832832255,
        4.859481042809193,
        4.859502502335162,
        4.859523961861131,
        4.859545421387098,
        4.859566880913067,
        4.859588340439035,
        4.859609799965003,
        4.859631259490971,
        4.85965271901694,
        4.859674178542908,
        4.859695638068876,
        4.859717097594844,
        4.859738557120813,
        4.859760016646781,
        4.859781476172749,
        4.859802935698718,
        4.859824395224686,
        4.859845854750654,
        4.859867314276622,
        4.859888773802591,
        4.859910233328558,
        4.8599312159761725,
        4.85995267550214,
        4.859974135028109,
        4.859995594554077,
        4.860017054080045,
        4.860038513606013,
        4.860059973131982,
        4.86008143265795,
        4.860102892183918,
        4.860124351709886,
        4.860145811235855,
        4.860166793883468,
        4.8601882534094365,
        4.860209712935404,
        4.860231172461373,
        4.860252631987341,
        4.860274091513309,
        4.860295551039277,
        4.860317010565246,
        4.860337993212859,
        4.860359452738828,
        4.860380912264795,
        4.860402371790764,
        4.860423831316732,
        4.8604452908427005,
        4.860466750368668,
        4.860487733016282,
        4.86050919254225,
        4.860530652068219,
        4.8605521115941865,
        4.860573571120155,
        4.860594553767768,
        4.860616013293737,
        4.860637472819705,
        4.8606589323456735,
        4.860680391871641,
        4.86070185139761,
        4.860722834045223,
        4.860744293571192,
        4.8607657530971595,
        4.860787212623128,
        4.860808195270741,
        4.860829654796709,
        4.860851114322678,
        4.8608725738486465,
        4.860894033374614,
        4.860915016022227,
        4.860936475548196,
        4.860957935074164,
        4.8609793946001325,
        4.861000377247746,
        4.861021836773714,
        4.861043296299682,
        4.861064278947296,
        4.861085738473264,
        4.861107197999233,
        4.8611286575252,
        4.861149640172814,
        4.861171099698782,
        4.86119255922475,
        4.861213541872364,
        4.861235001398332,
        4.8612564609243005,
        4.861277920450268,
        4.861298903097882,
        4.86132036262385,
        4.861341822149819,
        4.861362804797432,
        4.8613842643234,
        4.861405723849368,
        4.861426706496982,
        4.86144816602295,
        4.861469625548918,
        4.861490608196532,
        4.8615120677225,
        4.8615335272484685,
        4.861554509896082,
        4.8615759694220495,
        4.861597428948018,
        4.861618411595631,
        4.8616398711216,
        4.861660853769213,
        4.861682313295181,
        4.86170377282115,
        4.861724755468763,
        4.8617462149947315,
        4.861767674520699,
        4.861788657168313,
        4.861810116694281,
        4.861831099341894,
        4.861852558867863,
        4.861874018393831,
        4.861895001041445,
        4.861916460567413,
        4.861937443215026,
        4.861958902740994,
        4.861979885388608,
        4.862001344914576,
        4.862022804440544,
        4.862043787088158,
        4.862065246614126,
        4.862086229261739,
        4.862107688787708,
        4.862128671435321,
        4.86215013096129,
        4.862171113608903,
        4.8621925731348705,
        4.862214032660839,
        4.862235015308452,
        4.862256474834421,
        4.862277457482034,
        4.862892630559791,
        4.862913613207404,
        4.862934595855018,
        4.862956055380986,
        4.862977038028599,
        4.8629984975545675,
        4.863019480202181,
        4.863040462849794,
        4.8630619223757625,
        4.863082905023376,
        4.863104364549344,
        4.8631253471969575,
        4.863146329844571,
        4.863167789370539,
        4.863188772018153,
        4.863209754665766,
        4.863231214191734,
        4.863252196839348,
        4.863273656365316,
        4.8632946390129295,
        4.863315621660543,
        4.863337081186511,
        4.8633580638341245,
        4.863379046481738,
        4.863400506007706,
        4.8634214886553195,
        4.863442471302933,
        4.863463930828901,
        4.863484913476515,
        4.863505896124128,
        4.863526878771741,
        4.86354833829771,
        4.863569320945323,
        4.863590303592936,
        4.863611763118905,
        4.863632745766518,
        4.863653728414131,
        4.863674711061745,
        4.863696170587713,
        4.863717153235326,
        4.86373813588294,
        4.863759595408908,
        4.863780578056521,
        4.863801560704135,
        4.863822543351748,
        4.863844002877717,
        4.86386498552533,
        4.863885968172943,
        4.863906950820557,
        4.863928410346525,
        4.863949392994138,
        4.863970375641752,
        4.863991358289365,
        4.864012340936979,
        4.864033800462947,
        4.864054783110561,
        4.864075765758174,
        4.864096748405787,
        4.8641177310534,
        4.864139190579369,
        4.864160173226982,
        4.864181155874595,
        4.8642021385222085,
        4.864223121169823,
        4.86424458069579,
        4.864265563343404,
        4.864286545991018,
        4.864307528638631,
        4.864328511286244,
        4.864349493933857,
        4.864370953459826,
        4.864391936107439,
        4.864412918755052,
        4.864433901402666,
        4.8644548840502795,
        4.864475866697893,
        4.864497326223861,
        4.8645183088714745,
        4.864539291519088,
        4.864560274166701,
        4.864581256814315,
        4.864602239461928,
        4.864623222109541,
        4.8646442047571545,
        4.864665187404769,
        4.864686646930736,
        4.86470762957835,
        4.864728612225964,
        4.864749594873577,
        4.86477057752119,
        4.864791560168803,
        4.864812542816417,
        4.8648335254640305,
        4.864854508111644,
        4.864875490759257,
        4.864896473406871,
        4.864917932932839,
        4.864938915580452,
        4.864959898228066,
        4.864980880875679,
        4.865001863523292,
        4.8650228461709055,
        4.86504382881852,
        4.865064811466133,
        4.865085794113746,
        4.865106776761359,
        4.865127759408973,
        4.865148742056586,
        4.8651697247042,
        4.865190707351813,
        4.865211689999427,
        4.86523267264704,
        4.865253655294653,
        4.8652746379422664,
        4.86529562058988,
        4.865316603237494,
        4.865337585885107,
        4.86535856853272,
        4.865379551180333,
        4.865400533827947,
        4.8654215164755605,
        4.865442499123174,
        4.865463481770787,
        4.865484464418401,
        4.865505447066014,
        4.865526429713627,
        4.8655474123612406,
        4.865568395008855,
        4.865589377656468,
        4.865610360304081,
        4.865631342951694,
        4.865651848720953,
        4.865672831368566,
        4.86569381401618,
        4.865714796663793,
        4.865735779311406,
        4.86575676195902,
        4.865777744606634,
        4.865798727254247,
        4.86581970990186,
        4.865840692549473,
        4.865861675197087,
        4.8658826578447005,
        4.865903163613959,
        4.865924146261572,
        4.8659451289091855,
        4.8659661115568,
        4.866050042147253,
        4.866446804938488,
        4.866467787586101,
        4.8664887702337145,
        4.866509752881329,
        4.866530735528942,
        4.8665512412982,
        4.866572223945814,
        4.866593206593427,
        4.86661418924104,
        4.8666346950102986,
        4.866655677657913,
        4.866676660305526,
        4.866697642953139,
        4.866718148722398,
        4.866739131370011,
        4.866760114017625,
        4.866781096665238,
        4.866801602434497,
        4.86682258508211,
        4.866843567729723,
        4.866864550377336,
        4.866885056146595,
        4.866906038794209,
        4.866927021441822,
        4.866947527211081,
        4.866968509858694,
        4.866989492506307,
        4.867010475153921,
        4.867030980923179,
        4.867051963570793,
        4.867072946218406,
        4.867093451987665,
        4.867114434635278,
        4.867135417282891,
        4.86715592305215,
        4.867176905699764,
        4.867197888347377,
        4.867218394116636,
        4.867239376764249,
        4.867260359411862,
        4.867280865181121,
        4.867301847828734,
        4.867322830476348,
        4.8673433362456064,
        4.86736431889322,
        4.867385301540833,
        4.867405807310091,
        4.867426789957705,
        4.867447772605318,
        4.867468278374576,
        4.8674892610221905,
        4.867509766791449,
        4.867530749439062,
        4.8675517320866755,
        4.867572237855934,
        4.867593220503547,
        4.867613726272806,
        4.867634708920419,
        4.867655691568033,
        4.867676197337292,
        4.867697179984905,
        4.8677176857541635,
        4.867738668401777,
        4.867759174171035,
        4.8677801568186485,
        4.867801139466262,
        4.86782164523552,
        4.867842627883134,
        4.867863133652393,
        4.867884116300006,
        4.867904622069265,
        4.867925604716878,
        4.867946110486137,
        4.86796709313375,
        4.867988075781363,
        4.8680085815506215,
        4.868029564198236,
        4.868050069967494,
        4.868071052615107,
        4.868091558384366,
        4.868112541031979,
        4.868133046801238,
        4.868154029448851,
        4.86817453521811,
        4.868195517865723,
        4.868216023634981,
        4.868237006282595,
        4.868257512051853,
        4.868278494699467,
        4.868299000468726,
        4.868319983116339,
        4.868340488885598,
        4.868361471533211,
        4.8683819773024695,
        4.868402483071728,
        4.868423465719341,
        4.8684439714886,
        4.868464954136213,
        4.868485459905472,
        4.868506442553085,
        4.8685269483223435,
        4.8685479309699575,
        4.868568436739216,
        4.868588942508475,
        4.868609925156088,
        4.8686304309253465,
        4.86865141357296,
        4.868671919342218,
        4.8686929019898315,
        4.86871340775909,
        4.868733913528349,
        4.868754896175962,
        4.8687754019452205,
        4.868796384592834,
        4.868816890362092,
        4.868837396131351,
        4.868858378778965,
        4.868878884548224,
        4.868899390317481,
        4.868920372965095,
        4.868940878734354,
        4.868961861381967,
        4.868982367151226,
        4.869002872920484,
        4.869023855568098,
        4.869044361337356,
        4.869064867106615,
        4.869085849754228,
        4.869106355523487,
        4.869126861292745,
        4.869147843940358,
        4.869168349709617,
        4.869188855478876,
        4.869209838126489,
        4.869230343895747,
        4.869250849665006,
        4.869271832312619,
        4.869292338081878,
        4.869312843851136,
        4.8693338264987505,
        4.869354332268009,
        4.869374838037267,
        4.869395343806525,
        4.8694163264541395,
        4.869436832223398,
        4.869457337992657,
        4.86947832064027,
        4.8694988264095285,
        4.869519332178787,
        4.869539837948046,
        4.869560820595659,
        4.8695813263649175,
        4.869601832134176,
        4.8700963549881555,
        4.870116860757414,
        4.870137843405027,
        4.870158349174286,
        4.8701788549435445,
        4.870199360712803,
        4.870219866482062,
        4.87024037225132,
        4.870260878020579,
        4.870281860668192,
        4.870302366437451,
        4.870322872206709,
        4.870343377975968,
        4.8703638837452266,
        4.870384389514484,
        4.870404895283743,
        4.8704254010530015,
        4.8704463837006156,
        4.870466889469874,
        4.870487395239132,
        4.8705079010083905,
        4.870528406777649,
        4.870548912546908,
        4.870569418316166,
        4.870589924085425,
        4.8706104298546835,
        4.870630935623942,
        4.870651441393201,
        4.870672424040814,
        4.8706929298100725,
        4.870713435579331,
        4.87073394134859,
        4.870754447117848,
        4.870774952887107,
        4.8707954586563655,
        4.870815964425624,
        4.870836470194883,
        4.870856975964141,
        4.8708774817334,
        4.870897987502659,
        4.870918493271916,
        4.870938999041175,
        4.8709595048104335,
        4.870980010579692,
        4.871000516348951,
        4.871021022118209,
        4.871041527887468,
        4.8710620336567265,
        4.871082539425985,
        4.871103045195244,
        4.871123550964502,
        4.871144056733761,
        4.8711645625030195,
        4.871185068272278,
        4.871205574041537,
        4.871226079810795,
        4.871246585580054,
        4.871267091349312,
        4.87128759711857,
        4.871308102887829,
        4.8713286086570875,
        4.871349114426346,
        4.871369620195605,
        4.871390125964863,
        4.871410631734122,
        4.8714311375033805,
        4.871451643272639,
        4.871472149041898,
        4.871492654811156,
        4.8715126837020595,
        4.871533189471318,
        4.871553695240577,
        4.871574201009835,
        4.871594706779094,
        4.8716152125483525,
        4.871635718317611,
        4.87165622408687,
        4.871676729856128,
        4.871697235625387,
        4.8717177413946455,
        4.871737770285549,
        4.871758276054807,
        4.871778781824066,
        4.8717992875933245,
        4.871819793362583,
        4.871840299131842,
        4.8718608049011,
        4.871881310670359,
        4.871901339561263,
        4.8719218453305215,
        4.87194235109978,
        4.871962856869038,
        4.8719833626382965,
        4.872003868407555,
        4.872023897298459,
        4.872044403067718,
        4.872064908836976,
        4.872085414606235,
        4.8721059203754935,
        4.872126426144752,
        4.872146455035655,
        4.872166960804914,
        4.8721874665741725,
        4.872207972343431,
        4.87222847811269,
        4.872248507003594,
        4.872269012772852,
        4.872289518542111,
        4.8723100243113695,
        4.872330530080627,
        4.872350558971531,
        4.87237106474079,
        4.8723915705100485,
        4.872412076279307,
        4.872432105170211,
        4.87245261093947,
        4.872473116708727,
        4.872493622477986,
        4.872514128247245,
        4.872534157138149,
        4.872554662907407,
        4.872575168676666,
        4.8725956744459245,
        4.872615703336828,
        4.872636209106086,
        4.872656714875345,
        4.872676743766249,
        4.872697249535507,
        4.872717755304766,
        4.872738261074025,
        4.872758289964928,
        4.872778795734186,
        4.872799301503445,
        4.872819330394349,
        4.872839836163608,
        4.872860341932866,
        4.872880847702125,
        4.872900876593028,
        4.872921382362287,
        4.872941888131545,
        4.872961917022449,
        4.872982422791708,
        4.873002928560966,
        4.8730229574518695,
        4.873043463221128,
        4.873063968990387,
        4.873083997881291,
        4.873104503650549,
        4.873125009419808,
        4.873145038310711,
        4.87316554407997,
        4.873185572970874,
        4.873206078740132,
        4.873226584509391,
        4.873246613400295,
        4.873287624938811,
        4.873652913758627,
        4.8736734195278855,
        4.873733983078951,
        4.87375448884821,
        4.873774994617468,
        4.8737950235083725,
        4.873815529277631,
        4.873835558168534,
        4.873856063937793,
        4.873876092828697,
        4.873896598597955,
        4.873916627488859,
        4.873937133258117,
        4.873957162149021,
        4.87397766791828,
        4.873997696809183,
        4.8740182025784415,
        4.874038231469346,
        4.874058737238604,
        4.874078766129508,
        4.874099271898767,
        4.87411930078967,
        4.8741398065589285,
        4.874159835449833,
        4.874180341219091,
        4.874200370109994,
        4.874220399000898,
        4.874240904770157,
        4.874260933661061,
        4.874281439430319,
        4.874301468321223,
        4.874321974090481,
        4.874342002981385,
        4.874362508750644,
        4.874382537641547,
        4.874403043410806,
        4.87442307230171,
        4.874443101192614,
        4.874463606961871,
        4.874483635852775,
        4.874504141622034,
        4.874524170512938,
        4.874544199403841,
        4.8745647051731,
        4.874584734064004,
        4.874605239833262,
        4.874625268724166,
        4.87464529761507,
        4.874665803384328,
        4.874685832275232,
        4.874706338044491,
        4.874726366935394,
        4.874746395826298,
        4.874766901595557,
        4.87478693048646,
        4.874806959377364,
        4.874827465146622,
        4.874847494037526,
        4.8748675229284295,
        4.874888028697688,
        4.874908057588592,
        4.874928563357851,
        4.874948592248754,
        4.874968621139658,
        4.8749891269089165,
        4.8750091557998205,
        4.875029184690724,
        4.875049213581628,
        4.875069719350886,
        4.87508974824179,
        4.8751097771326934,
        4.875130282901952,
        4.875150311792856,
        4.875170340683759,
        4.875190846453018,
        4.875210875343922,
        4.875230904234826,
        4.8752514100040845,
        4.875271438894988,
        4.875291467785892,
        4.875311496676795,
        4.875332002446053,
        4.875352031336957,
        4.875372060227861,
        4.8753920891187645,
        4.875412594888023,
        4.875432623778927,
        4.875452652669831,
        4.875472681560734,
        4.875493187329993,
        4.875513216220897,
        4.8755332451118,
        4.875553274002704,
        4.875573779771963,
        4.875593808662867,
        4.87561383755377,
        4.875633866444674,
        4.8756543722139325,
        4.875674401104836,
        4.87569442999574,
        4.875714458886644,
        4.875734487777547,
        4.875754993546805,
        4.875775022437709,
        4.8757950513286135,
        4.875815080219517,
        4.875835109110421,
        4.875855138001324,
        4.875875643770582,
        4.875895672661486,
        4.87591570155239,
        4.8759357304432935,
        4.875955759334198,
        4.875976265103456,
        4.87599629399436,
        4.876016322885263,
        4.876036351776167,
        4.8760563806670705,
        4.8760764095579745,
        4.8760964384488785,
        4.876116944218137,
        4.87613697310904,
        4.876157001999944,
        4.876177030890848,
        4.876197059781751,
        4.8762170886726555,
        4.8762371175635595,
        4.876257146454463,
        4.876277652223721,
        4.876297681114625,
        4.876317710005528,
        4.876337738896432,
        4.876357767787336,
        4.87637779667824,
        4.876397825569144,
        4.876417854460048,
        4.876437883350951,
        4.876457912241855,
        4.876477941132758,
        4.8764984469020165,
        4.8765184757929205,
        4.8765385046838245,
        4.876558533574728,
        4.876578562465632,
        4.876598591356536,
        4.876618620247439,
        4.876638649138343,
        4.876658678029247,
        4.87667870692015,
        4.876698735811054,
        4.876718764701957,
        4.876738793592861,
        4.876758822483765,
        4.876778851374668,
        4.876798880265572,
        4.876818909156476,
        4.87683893804738,
        4.876858966938284,
        4.876878995829188,
        4.876899024720091,
        4.876919053610995,
        4.876939082501898,
        4.876999169174609,
        4.877319631429069,
        4.877339660319972,
        4.877379241223425,
        4.877399270114329,
        4.877419299005232,
        4.877439327896136,
        4.87745935678704,
        4.877479385677943,
        4.877499414568847,
        4.877519443459751,
        4.877539472350654,
        4.877559501241558,
        4.877579053254107,
        4.877599082145011,
        4.877619111035915,
        4.877639139926818,
        4.877659168817722,
        4.877679197708625,
        4.877699226599529,
        4.877719255490433,
        4.877738807502982,
        4.877758836393886,
        4.877778865284789,
        4.877798894175693,
        4.877818923066597,
        4.8778389519575,
        4.877858980848404,
        4.877878532860953,
        4.877898561751857,
        4.877918590642761,
        4.877938619533664,
        4.877958648424568,
        4.877978677315471,
        4.87799822932802,
        4.8780182582189235,
        4.878038287109828,
        4.878058316000732,
        4.878078344891635,
        4.878097896904184,
        4.878117925795087,
        4.878137954685991,
        4.878157983576895,
        4.8781780124677985,
        4.878197564480348,
        4.878217593371251,
        4.878237622262155,
        4.878257651153058,
        4.878277203165608,
        4.878297232056511,
        4.878317260947415,
        4.878337289838319,
        4.878357318729222,
        4.878376870741771,
        4.8783968996326745,
        4.8784169285235786,
        4.878436480536127,
        4.878456509427031,
        4.878476538317935,
        4.878496567208838,
        4.878516119221388,
        4.878536148112291,
        4.878556177003195,
        4.878576205894098,
        4.8785957579066475,
        4.878615786797551,
        4.878635815688455,
        4.878655367701003,
        4.878675396591907,
        4.878695425482811,
        4.878715454373714,
        4.878735006386264,
        4.878755035277167,
        4.878775064168071,
        4.8787946161806195,
        4.8788146450715235,
        4.8788346739624275,
        4.878854225974976,
        4.87887425486588,
        4.878894283756783,
        4.878913835769333,
        4.878933864660236,
        4.87895389355114,
        4.878973445563688,
        4.878993474454592,
        4.8790135033454956,
        4.879033055358045,
        4.879053084248948,
        4.879073113139852,
        4.879092665152401,
        4.879112694043305,
        4.879132246055853,
        4.879152274946757,
        4.879172303837661,
        4.87919185585021,
        4.879211884741114,
        4.879231436753662,
        4.8792514656445665,
        4.87927149453547,
        4.879291046548019,
        4.879311075438922,
        4.879330627451472,
        4.879350656342375,
        4.879370685233279,
        4.879390237245827,
        4.879410266136731,
        4.87942981814928,
        4.879449847040184,
        4.879469875931087,
        4.8794894279436365,
        4.87950945683454,
        4.879529008847089,
        4.879549037737992,
        4.879568589750542,
        4.879588618641445,
        4.879608170653994,
        4.879628199544897,
        4.879647751557447,
        4.87966778044835,
        4.879687809339254,
        4.8797073613518025,
        4.8797273902427065,
        4.879746942255255,
        4.879766971146159,
        4.879786523158708,
        4.879806552049612,
        4.87982610406216,
        4.879846132953064,
        4.879865684965613,
        4.879885713856517,
        4.879905265869065,
        4.879925294759969,
        4.879944846772518,
        4.879964875663422,
        4.8799844276759705,
        4.8800044565668745,
        4.880024008579423,
        4.880044037470327,
        4.880063589482876,
        4.880083141495424,
        4.880103170386328,
        4.880122722398877,
        4.880142751289781,
        4.880162303302329,
        4.880182332193233,
        4.880201884205782,
        4.880221913096686,
        4.8802414651092345,
        4.8802614940001385,
        4.880281046012687,
        4.8803005980252365,
        4.88032062691614,
        4.880340178928689,
        4.880360207819592,
        4.880379759832142,
        4.88039931184469,
        4.880419340735593,
        4.880438892748143,
        4.880458921639046,
        4.880478473651595,
        4.880498025664144,
        4.880518054555048,
        4.8805376065675965,
        4.880577187471049,
        4.880596739483598,
        4.880616768374502,
        4.880931984967058,
        4.880952013857962,
        4.88097156587051,
        4.880991117883059,
        4.881011146773963,
        4.881030698786511,
        4.881050250799061,
        4.881069802811609,
        4.881089831702513,
        4.881109383715062,
        4.88112893572761,
        4.881148964618514,
        4.881168516631063,
        4.881188068643612,
        4.881207620656161,
        4.881227649547065,
        4.881247201559614,
        4.881266753572162,
        4.8812863055847115,
        4.881306334475615,
        4.881325886488164,
        4.881345438500713,
        4.881365467391617,
        4.881385019404165,
        4.881404571416714,
        4.881424123429263,
        4.881443675441812,
        4.881463704332715,
        4.881483256345264,
        4.881502808357813,
        4.8815223603703615,
        4.8815423892612655,
        4.881561941273814,
        4.8815814932863635,
        4.881601045298912,
        4.881620597311461,
        4.881640626202365,
        4.881660178214913,
        4.881679730227463,
        4.881699282240011,
        4.88171883425256,
        4.881738863143464,
        4.881758415156012,
        4.881777967168562,
        4.88179751918111,
        4.881817071193659,
        4.881836623206208,
        4.881856652097111,
        4.881876204109661,
        4.881895756122209,
        4.881915308134758,
        4.881934860147307,
        4.881954412159856,
        4.88197444105076,
        4.8819939930633085,
        4.882013545075857,
        4.8820330970884065,
        4.882052649100955,
        4.882072201113504,
        4.882091753126053,
        4.882111305138602,
        4.882131334029506,
        4.882150886042054,
        4.882170438054603,
        4.882189990067152,
        4.882209542079701,
        4.882229094092249,
        4.882248646104799,
        4.882268198117347,
        4.882287750129896,
        4.882307302142445,
        4.882327331033348,
        4.882346883045898,
        4.882366435058446,
        4.882385987070995,
        4.882405539083544,
        4.882425091096093,
        4.8824446431086415,
        4.882464195121191,
        4.8824837471337394,
        4.882503299146288,
        4.882522851158837,
        4.882542403171386,
        4.8825619551839345,
        4.882581507196484,
        4.8826010592090325,
        4.882620611221581,
        4.8826401632341305,
        4.882660192125034,
        4.882679744137583,
        4.882699296150132,
        4.88271884816268,
        4.88273840017523,
        4.882757952187778,
        4.882777504200327,
        4.882797056212876,
        4.882816608225425,
        4.882836160237974,
        4.882855712250523,
        4.882875264263071,
        4.882894816275621,
        4.882914368288169,
        4.882933920300718,
        4.882953472313267,
        4.882973024325816,
        4.882992576338364,
        4.883011651472558,
        4.883031203485108,
        4.883050755497656,
        4.883070307510205,
        4.883089859522754,
        4.883109411535303,
        4.883128963547851,
        4.883148515560401,
        4.883168067572949,
        4.883187619585498,
        4.883207171598047,
        4.883226723610596,
        4.8832462756231445,
        4.883265827635694,
        4.8832853796482425,
        4.883304931660791,
        4.8833244836733405,
        4.8833435588075345,
        4.883363110820083,
        4.883382662832632,
        4.883402214845181,
        4.8834217668577296,
        4.883441318870278,
        4.8834608708828275,
        4.883480422895376,
        4.883499974907925,
        4.883519526920474,
        4.883538602054668,
        4.883558154067217,
        4.883577706079765,
        4.883597258092315,
        4.883616810104863,
        4.883636362117412,
        4.883655914129961,
        4.88367546614251,
        4.883694541276704,
        4.883714093289252,
        4.883733645301802,
        4.88375319731435,
        4.883772749326899,
        4.883792301339448,
        4.883811376473642,
        4.883830928486191,
        4.88385048049874,
        4.883870032511289,
        4.883889584523837,
        4.883909136536387,
        4.883928211670581,
        4.883947763683129,
        4.883967315695678,
        4.883986867708227,
        4.884006419720776,
        4.88402549485497,
        4.884045046867518,
        4.884064598880068,
        4.884084150892616,
        4.884103702905165,
        4.884122778039359,
        4.884142330051908,
        4.884161882064457,
        4.884181434077005,
        4.884200509211199,
        4.884220061223749,
        4.884259165248846,
        4.884569613057853,
        4.884589165070403,
        4.884608717082951,
        4.8846282690955,
        4.884647344229694,
        4.884666896242243,
        4.884686448254792,
        4.884705523388986,
        4.884725075401534,
        4.884744627414084,
        4.884763702548278,
        4.884783254560826,
        4.884802806573375,
        4.884821881707569,
        4.884841433720118,
        4.884860985732667,
        4.884880060866861,
        4.88489961287941,
        4.884919164891959,
        4.884938240026153,
        4.884957792038701,
        4.884977344051251,
        4.884996419185445,
        4.885015971197993,
        4.885035046332187,
        4.885054598344736,
        4.885074150357285,
        4.885093225491479,
        4.885112777504028,
        4.885132329516576,
        4.88515140465077,
        4.88517095666332,
        4.885190031797514,
        4.885209583810062,
        4.885229135822611,
        4.885248210956806,
        4.885267762969354,
        4.885286838103548,
        4.885306390116097,
        4.885325942128646,
        4.88534501726284,
        4.885364569275389,
        4.885383644409583,
        4.885403196422131,
        4.885422271556325,
        4.885441823568875,
        4.8854608987030685,
        4.885480450715617,
        4.885500002728166,
        4.88551907786236,
        4.885538629874909,
        4.885557705009103,
        4.885577257021652,
        4.8855963321558455,
        4.885615884168395,
        4.885634959302589,
        4.8856545113151375,
        4.8856735864493315,
        4.88569313846188,
        4.885712213596074,
        4.885731765608623,
        4.885750840742817,
        4.885770392755366,
        4.88578946788956,
        4.8858090199021085,
        4.885828095036302,
        4.885847647048852,
        4.885866722183046,
        4.885886274195594,
        4.885905349329788,
        4.885924901342337,
        4.885943976476532,
        4.88596352848908,
        4.885982603623274,
        4.886002155635823,
        4.886021230770017,
        4.886040782782566,
        4.88605985791676,
        4.886079409929309,
        4.886098485063503,
        4.886118037076051,
        4.886137112210245,
        4.886156187344439,
        4.886175739356989,
        4.886194814491183,
        4.886214366503731,
        4.886233441637925,
        4.886252993650475,
        4.886272068784669,
        4.8862911439188625,
        4.886310695931411,
        4.886329771065605,
        4.886349323078154,
        4.886368398212348,
        4.8863874733465416,
        4.886407025359091,
        4.886426100493285,
        4.8864456525058335,
        4.8864647276400275,
        4.8864838027742215,
        4.88650335478677,
        4.886522429920965,
        4.886541981933513,
        4.886561057067707,
        4.887061302461945,
        4.887080377596139,
        4.887099452730333,
        4.887118527864527,
        4.887138079877076,
        4.88715715501127,
        4.887176230145464,
        4.887195782158012,
        4.887214857292206,
        4.8872339324264,
        4.887253007560595,
        4.887272559573144,
        4.887291634707338,
        4.887310709841532,
        4.887329784975726,
        4.887349336988274,
        4.887368412122468,
        4.887387487256662,
        4.887406562390856,
        4.88742563752505,
        4.887445189537599,
        4.887464264671793,
        4.887483339805987,
        4.887502414940181,
        4.88752196695273,
        4.887541042086924,
        4.887560117221118,
        4.887579192355312,
        4.887598267489506,
        4.887617819502055,
        4.887636894636249,
        4.887655969770443,
        4.887675044904637,
        4.887694120038831,
        4.88771367205138,
        4.887732747185574,
        4.887751822319768,
        4.8877708974539615,
        4.8877899725881555,
        4.8878090477223495,
        4.887828599734899,
        4.887847674869093,
        4.887866750003287,
        4.887885825137481,
        4.887962602552611,
        4.888191981041294,
        4.888211056175488,
        4.888230131309682,
        4.888249206443876,
        4.88826828157807,
        4.888287356712264,
        4.888306908724814,
        4.888325983859008,
        4.888345058993202,
        4.888364134127396,
        4.8883832092615895,
        4.8884022843957835,
        4.8884213595299775,
        4.888440434664171,
        4.888459509798365,
        4.888478584932559,
        4.888497660066753,
        4.888516735200947,
        4.888535810335141,
        4.888554885469335,
        4.888573960603529,
        4.888593035737723,
        4.888612110871917,
        4.888631662884466,
        4.88865073801866,
        4.8886698131528545,
        4.8886888882870485,
        4.8887079634212425,
        4.888727038555436,
        4.88874611368963,
        4.888765188823824,
        4.888784263958018,
        4.888803339092212,
        4.888822414226406,
        4.8888414893606,
        4.888860564494794,
        4.888879639628988,
        4.888898714763182,
        4.888917789897376,
        4.88893686503157,
        4.888955940165764,
        4.8889745384216035,
        4.888993613555797,
        4.889012688689991,
        4.889031763824185,
        4.889050838958379,
        4.889069914092573,
        4.889088989226767,
        4.889108064360961,
        4.889127139495155,
        4.889146214629349,
        4.889165289763543,
        4.889184364897737,
        4.889203440031931,
        4.889222515166125,
        4.889241590300319,
        4.889260665434513,
        4.889279740568707,
        4.889298815702901,
        4.88931741395874,
        4.889336489092934,
        4.889355564227128,
        4.889374639361322,
        4.889393714495516,
        4.88941278962971,
        4.889431864763904,
        4.889450939898098,
        4.889470015032292,
        4.889489090166486,
        4.889507688422325,
        4.889526763556519,
        4.889545838690713,
        4.889564913824907,
        4.889583988959101,
        4.889603064093295,
        4.889622139227489,
        4.889640737483329,
        4.889659812617523,
        4.8896788877517166,
        4.8896979628859105,
        4.8897170380201045,
        4.8897361131542985,
        4.889755188288492,
        4.889773786544332,
        4.889792861678526,
        4.88981193681272,
        4.889831011946914,
        4.889850087081108,
        4.889869162215302,
        4.889887760471141,
        4.889906835605335,
        4.889925910739529,
        4.889944985873723,
        4.889964061007917,
        4.889982659263756,
        4.89000173439795,
        4.890020809532144,
        4.890039884666338,
        4.890058959800532,
        4.890077558056372,
        4.8900966331905655,
        4.8901157083247595,
        4.8901347834589535,
        4.890153858593147,
        4.890172456848987,
        4.890191531983181,
        4.890210607117375,
        4.890229682251569,
        4.890248280507408,
        4.890267355641602,
        4.890286430775796,
        4.89030550590999,
        4.8903241041658285,
        4.8903431793000225,
        4.8903622544342165,
        4.89038132956841,
        4.89039992782425,
        4.890419002958444,
        4.890438078092638,
        4.890457153226832,
        4.890475751482671,
        4.890494826616865,
        4.890513901751059,
        4.890532500006898,
        4.890551575141092,
        4.890570650275286,
        4.89058972540948,
        4.89060832366532,
        4.890627398799514,
        4.890646473933708,
        4.890665072189547,
        4.890684147323741,
        4.890703222457935,
        4.8907218207137735,
        4.8907408958479675,
        4.890759970982161,
        4.890778569238001,
        4.890797644372195,
        4.890816719506389,
        4.890835317762228,
        4.890854392896422,
        4.890873468030616,
        4.8908920662864555,
        4.890911141420649,
        4.890930216554843,
        4.890948814810683,
        4.890967889944877,
        4.890986965079071,
        4.891005563334909,
        4.891024638469103,
        4.891043236724943,
        4.8910623118591365,
        4.8910813869933305,
        4.89109998524917,
        4.891119060383364,
        4.891138135517558,
        4.891156733773397,
        4.891175808907591,
        4.891194407163431,
        4.8912134822976245,
        4.8912325574318185,
        4.891251155687657,
        4.891270230821851,
        4.89128882907769,
        4.891307904211884,
        4.891326979346078,
        4.891345577601918,
        4.891364652736112,
        4.891383250991951,
        4.891402326126145,
        4.8914209243819835,
        4.891477672906211,
        4.891496748040405,
        4.891515346296244,
        4.891534421430438,
        4.891854883684897,
        4.89191115533077,
        4.891929753586609,
        4.891948828720803,
        4.891986502110836,
        4.892024175500869,
        4.8920427737567085,
        4.8920618488909025,
        4.892193467316841,
        4.892268814096907,
        4.892287412352746,
        4.8934314435260315,
        4.893487715171904,
        4.893581183329455,
        4.893599781585293,
        4.893656053231166,
        4.8936746514870055,
        4.893693249742844,
        4.893711847998683,
        4.893730446254523,
        4.893768119644556,
        4.893786717900395,
        4.893805316156234,
        4.893842512667912,
        4.893861587802107,
        4.893880186057945,
        4.893898784313785,
        4.893917382569624,
        4.8939359808254626,
        4.893954579081302,
        4.893973177337141,
        4.893992252471335,
        4.894010850727175,
        4.894029448983013,
        4.894048047238853,
        4.894066645494692,
        4.894085243750531,
        4.89410384200637,
        4.894122440262209,
        4.894141515396403,
        4.894160113652243,
        4.894178711908082,
        4.8941973101639205,
        4.89421590841976,
        4.894234506675599,
        4.894253104931439,
        4.894271703187277,
        4.8942903014431165,
        4.8943093765773105,
        4.89432797483315,
        4.894346573088989,
        4.894365171344828,
        4.894383769600667,
        4.8944023678565065,
        4.894420966112345,
        4.894439564368184,
        4.894458162624024,
        4.894476760879863,
        4.894495359135702,
        4.894513957391541,
        4.89453255564738,
        4.89455115390322,
        4.894569752159058,
        4.894588827293252,
        4.894607425549092,
        4.894626023804931,
        4.8946446220607704,
        4.894663220316609,
        4.894681818572448,
        4.894700416828288,
        4.894719015084127,
        4.894737613339966,
        4.894756211595805,
        4.894774809851644,
        4.894793408107483,
        4.894812006363322,
        4.894830604619162,
        4.894849202875001,
        4.8948678011308395,
        4.894886399386679,
        4.894904997642518,
        4.894923595898358,
        4.894942194154196,
        4.894960792410036,
        4.894979390665875,
        4.894997988921714,
        4.895016587177553,
        4.895035185433392,
        4.895053783689232,
        4.895072381945071,
        4.8950909802009095,
        4.895109578456749,
        4.895127699834233,
        4.895146298090072,
        4.895164896345912,
        4.895220691113429,
        4.8954061967934654,
        4.895424795049305,
        4.895443393305144,
        4.895461991560983,
        4.895480589816822,
        4.8954991880726615,
        4.895517786328501,
        4.895536384584339,
        4.895554982840179,
        4.895573581096018,
        4.895591702473502,
        4.8956103007293414,
        4.895628898985181,
        4.895647497241019,
        4.895666095496859,
        4.895684693752698,
        4.8957032920085375,
        4.895721413386021,
        4.895740011641861,
        4.8957586098977,
        4.895777208153539,
        4.895795806409378,
        4.8958144046652174,
        4.895833002921056,
        4.895851124298541,
        4.89586972255438,
        4.895888320810219,
        4.895906919066058,
        4.895925517321897,
        4.895944115577737,
        4.895962236955221,
        4.89598083521106,
        4.895999433466899,
        4.896018031722738,
        4.896036629978577,
        4.896054751356061,
        4.896073349611901,
        4.89609194786774,
        4.896110546123579,
        4.896129144379418,
        4.896147265756903,
        4.896165864012742,
        4.896184462268581,
        4.89620306052442,
        4.896221658780259,
        4.896239780157743,
        4.896258378413583,
        4.896276976669422,
        4.896295574925261,
        4.896313696302745,
        4.896332294558585,
        4.896350892814423,
        4.896369491070263,
        4.896387612447747,
        4.896406210703586,
        4.896424808959425,
        4.896443407215265,
        4.896461528592749,
        4.896480126848588,
        4.896498725104427,
        4.896517323360266,
        4.896535444737751,
        4.896554042993589,
        4.896572641249429,
        4.896590762626913,
        4.896609360882752,
        4.896627959138591,
        4.896646557394431,
        4.896664678771915,
        4.896683277027754,
        4.896701875283593,
        4.896719996661077,
        4.896738594916917,
        4.896757193172756,
        4.89677531455024,
        4.896793912806079,
        4.896812511061919,
        4.896830632439403,
        4.896849230695242,
        4.8968678289510805,
        4.896885950328565,
        4.896904548584405,
        4.896923146840243,
        4.896941268217728,
        4.896959866473567,
        4.896978464729406,
        4.897015184362729,
        4.897033782618569,
        4.897051903996053,
        4.897070502251892,
        4.897089100507731,
        4.897107221885216,
        4.897125820141055,
        4.897144418396894,
        4.897162539774378,
        4.897181138030217,
        4.897199259407702,
        4.897217857663541,
        4.89723645591938,
        4.897254577296864,
        4.897273175552703,
        4.897291296930188,
        4.8973098951860266,
        4.897328493441866,
        4.897346614819351,
        4.897365213075189,
        4.899988044026864,
        4.903016221580162,
        4.9030381579844855,
        4.903060094388809,
        4.9030815539147765,
        4.9031034903191,
        4.903125426723423,
        4.903147363127746,
        4.9031692995320695,
        4.903191235936392,
        4.903213172340715,
        4.903234631866684,
        4.903256568271007,
        4.90327850467533,
        4.903300441079653,
        4.903322377483976,
        4.903344313888299,
        4.903366250292622,
        4.90338770981859,
        4.903409646222913,
        4.9034315826272366,
        4.90345351903156,
        4.903475455435883,
        4.903496914961851,
        4.903518851366174,
        4.903540787770497,
        4.9035627241748205,
        4.903584660579144,
        4.9036061201051115,
        4.903628056509435,
        4.903649992913758,
        4.903671929318081,
        4.9036938657224045,
        4.903715325248372,
        4.9037372616526955,
        4.903759198057019,
        4.903781134461342,
        4.90380259398731,
        4.903824530391633,
        4.903846466795956,
        4.9038684032002795,
        4.903889862726247,
        4.9039117991305705,
        4.903933735534894,
        4.903955671939217,
        4.903977131465185,
        4.903999067869508,
        4.904021004273831,
        4.9040429406781545,
        4.904064400204122,
        4.9040863366084455,
        4.904108273012769,
        4.904129732538737,
        4.904151668943061,
        4.904173605347383,
        4.904195064873352,
        4.904217001277675,
        4.904238937681998,
        4.9042608740863205,
        4.904282333612289,
        4.904304270016612,
        4.904326206420936,
        4.904347665946903,
        4.904369602351227,
        4.90439153875555,
        4.904412998281518,
        4.904434934685841,
        4.90445639421181,
        4.904478330616133,
        4.904500267020455,
        4.904521726546424,
        4.904543662950747,
        4.90456559935507,
        4.904587058881038,
        4.904608995285361,
        4.90463045481133,
        4.904652391215652,
        4.904674327619976,
        4.904695787145944,
        4.9047177235502675,
        4.904739659954591,
        4.9047611194805585,
        4.904783055884882,
        4.9048045154108495,
        4.904826451815173,
        4.904847911341141,
        4.904869847745465,
        4.904891784149788,
        4.904913243675756,
        4.904935180080079,
        4.904956639606047,
        4.90497857601037,
        4.905000035536339,
        4.905021971940662,
        4.90504343146663,
        4.905065367870953,
        4.905087304275276,
        4.905108763801244,
        4.905130700205567,
        4.905152159731536,
        4.905174096135859,
        4.905195555661827,
        4.90521749206615,
        4.905238951592119,
        4.905260887996441,
        4.90528234752241,
        4.905304283926733,
        4.905325743452701,
        4.905347679857024,
        4.905369139382993,
        4.905391075787316,
        4.905412535313284,
        4.905434471717607,
        4.9054559312435755,
        4.905477867647898,
        4.9054993271738665,
        4.90552126357819,
        4.9055427231041575,
        4.905564182630126,
        4.905586119034449,
        4.905607578560417,
        4.90562951496474,
        4.905650974490709,
        4.905672910895031,
        4.905694370421,
        4.905716306825323,
        4.905737766351291,
        4.90575922587726,
        4.905781162281583,
        4.905802621807551,
        4.905824558211874,
        4.905846017737843,
        4.9058674772638104,
        4.905889413668134,
        4.905910873194102,
        4.905932809598425,
        4.905954269124393,
        4.905975728650362,
        4.905997665054684,
        4.906019124580653,
        4.906041060984976,
        4.906062520510944,
        4.906083980036913,
        4.906105916441236,
        4.906127375967204,
        4.906148835493172,
        4.906170771897496,
        4.906235627353755,
        4.906257086879723,
        4.906278546405692,
        4.906300482810014,
        4.906321942335983,
        4.906343401861951,
        4.906365338266274,
        4.906386797792242,
        4.90640825731821,
        4.906430193722533,
        4.906451653248502,
        4.90647311277447,
        4.906495049178793,
        4.906516508704762,
        4.9065379682307295,
        4.906559427756698,
        4.906581364161021,
        4.906602823686989,
        4.906624283212958,
        4.906645742738926,
        4.906667679143249,
        4.9066891386692175,
        4.906710598195185,
        4.9067325345995085,
        4.906753994125477,
        4.906775453651445,
        4.906796913177414,
        4.906818849581737,
        4.906840309107705,
        4.906861768633673,
        4.906883228159641,
        4.90690468768561,
        4.906926624089933,
        4.906948083615901,
        4.906969543141869,
        4.906991002667837,
        4.907012462193806,
        4.907034398598129,
        4.907055858124097,
        4.9070773176500655,
        4.907098777176033,
        4.907120236702002,
        4.907142173106325,
        4.907163632632293,
        4.907185092158262,
        4.907206551684229,
        4.907228011210198,
        4.907249947614521,
        4.907271407140489,
        4.907292866666458,
        4.9073143261924255,
        4.907335785718394,
        4.907357245244362,
        4.907378704770331,
        4.907400641174654,
        4.907422100700622,
        4.90744356022659,
        4.907465019752558,
        4.907486479278527,
        4.907507938804494,
        4.907529398330463,
        4.907550857856431,
        4.907572794260754,
        4.907594253786723,
        4.9076157133126905,
        4.907637172838659,
        4.907658632364627,
        4.907680091890596,
        4.907701551416563,
        4.907723010942532,
        4.907744470468501,
        4.9077659299944685,
        4.907787389520437,
        4.9078093259247595,
        4.907830785450728,
        4.907852244976697,
        4.907873704502665,
        4.907895164028633,
        4.907916623554601,
        4.90793808308057,
        4.907959542606537,
        4.907981002132506,
        4.908002461658474,
        4.9080239211844425,
        4.908066840236379,
        4.90860285150723,
        4.908667230085135,
        4.908688689611103,
        4.908710149137072,
        4.9087316086630395,
        4.908753068189008,
        4.908774527714977,
        4.908795987240945,
        4.908817446766913,
        4.908838906292881,
        4.908859888940494,
        4.908881348466463,
        4.908902807992431,
        4.908924267518399,
        4.908945727044368,
        4.908967186570336,
        4.908988646096304,
        4.909010105622272,
        4.909031088269885,
        4.909052547795854,
        4.909074007321823,
        4.90909546684779,
        4.909116926373759,
        4.909138385899727,
        4.90915936854734,
        4.909180828073309,
        4.9092022875992765,
        4.909223747125245,
        4.909245206651214,
        4.9092666661771815,
        4.909287648824795,
        4.909309108350763,
        4.909330567876731,
        4.9093520274027,
        4.909373486928668,
        4.909394469576282,
        4.909415929102249,
        4.909437388628218,
        4.909458848154186,
        4.9094803076801545,
        4.909501290327768,
        4.909522749853736,
        4.909544209379704,
        4.909565668905673,
        4.909586651553286,
        4.909608111079255,
        4.909629570605222,
        4.909651030131191,
        4.909672012778804,
        4.909693472304772,
        4.909714931830741,
        4.9097363913567085,
        4.9097573740043225,
        4.90977883353029,
        4.909800293056259,
        4.909821752582227,
        4.909842735229841,
        4.909864194755809,
        4.909885654281777,
        4.9099066369293904,
        4.909928096455358,
        4.909949555981327,
        4.9099710155072955,
        4.909991998154909,
        4.9100134576808765,
        4.910034917206845,
        4.910055899854458,
        4.910077359380427,
        4.910098818906395,
        4.910119801554008,
        4.910141261079977,
        4.910162720605944,
        4.9101837032535585,
        4.910205162779526,
        4.910226622305495,
        4.910247604953108,
        4.910269064479077,
        4.9102905240050445,
        4.910311506652658,
        4.910332966178626,
        4.9103539488262395,
        4.910375408352208,
        4.910396867878176,
        4.910417850525789,
        4.910439310051758,
        4.9104607695777265,
        4.91048175222534,
        4.910503211751307,
        4.9105241943989215,
        4.910545653924889,
        4.910567113450858,
        4.910588096098471,
        4.910609555624439,
        4.910630538272053,
        4.910651997798021,
        4.910673457323989,
        4.910694439971603,
        4.910715899497571,
        4.9107368821451844,
        4.910758341671152,
        4.910779324318766,
        4.910800783844734,
        4.910821766492347,
        4.910843226018316,
        4.910864685544284,
        4.910885668191898,
        4.9109071277178655,
        4.910928110365479,
        4.910949569891447,
        4.910970552539061,
        4.910992012065029,
        4.911012994712642,
        4.911034454238611,
        4.911055436886224,
        4.911076896412192,
        4.911097879059806,
        4.911119338585774,
        4.911140321233387,
        4.911161780759356,
        4.911182763406969,
        4.911204222932938,
        4.911225205580551,
        4.9112466651065185,
        4.911267647754133,
        4.9112891072801,
        4.911310089927714,
        4.911331549453682,
        4.911352532101295,
        4.911373991627264,
        4.911394974274877,
        4.9114159569224904,
        4.911437416448459,
        4.911458399096072,
        4.911479858622041,
        4.911500841269654,
        4.911522300795622,
        4.911543283443236,
        4.911564266090849,
        4.911585725616817,
        4.911606708264431,
        4.911628167790399,
        4.911649150438012,
        4.911670609963981,
        4.911691592611594,
        4.911712575259207,
        4.911734034785176,
        4.911755017432789,
        4.911776000080402,
        4.911797459606371,
        4.911818442253984,
        4.9118399017799526,
        4.911860884427566,
        4.911881867075179,
        4.911903326601148,
        4.911924309248761,
        4.911945291896374,
        4.911966751422343,
        4.911987734069956,
        4.9120091935959245,
        4.912030176243538,
        4.912051158891151,
        4.9120726184171195,
        4.912093601064733,
        4.912114583712346,
        4.9121360432383145,
        4.912157025885928,
        4.912178008533541,
        4.912198991181154,
        4.912220450707123,
        4.912241433354736,
        4.912262416002349,
        4.912283875528318,
        4.912304858175931,
        4.912325840823544,
        4.912347300349513,
        4.912368282997126,
        4.912389265644739,
        4.912410248292353,
        4.912431707818321,
        4.912452690465934,
        4.912473673113548,
        4.912495132639516,
        4.912516115287129,
        4.912537097934743,
        4.9125580805823565,
        4.912579540108324,
        4.912600522755938,
        4.912621505403552,
        4.912642488051165,
        4.912663947577133,
        4.912684930224747,
        4.91270591287236,
        4.912726895519973,
        4.912747878167587,
        4.912769337693555,
        4.912790320341168,
        4.912811302988782,
        4.912832285636395,
        4.9128532682840085,
        4.912874727809977,
        4.91289571045759,
        4.9129166931052035,
        4.912937675752817,
        4.912958658400431,
        4.9129801179263985,
        4.913001100574012,
        4.913022083221626,
        4.913043065869239,
        4.913064048516852,
        4.913085031164465,
        4.913106490690434,
        4.913127473338047,
        4.91314845598566,
        4.9131694386332745,
        4.913190421280888,
        4.913211403928501,
        4.9132328634544695,
        4.913253846102083,
        4.913274828749696,
        4.913295811397309,
        4.913316794044923,
        4.913337776692536,
        4.9133587593401495,
        4.913379741987763,
        4.913400724635377,
        4.913422184161345,
        4.913443166808958,
        4.913464149456572,
        4.913485132104185,
        4.913506114751798,
        4.913527097399411,
        4.9135480800470255,
        4.913569062694639,
        4.913590045342252,
        4.913611027989865,
        4.913632010637479,
        4.913653470163447,
        4.91367445281106,
        4.913695435458674,
        4.913716418106287,
        4.9137374007539005,
        4.913758383401514,
        4.913779366049128,
        4.913800348696741,
        4.913821331344354,
        4.913842313991967,
        4.913863296639581,
        4.913884279287195,
        4.913905261934808,
        4.913926244582421,
        4.913947227230034,
        4.913968209877648,
        4.9139891925252615,
        4.914010175172875,
        4.914031157820488,
        4.914052140468102,
        4.914073123115715,
        4.914094105763328,
        4.9141150884109415,
        4.9141360710585555,
        4.914157053706169,
        4.914178036353782,
        4.914199019001395,
        4.914220001649009,
        4.914240984296622,
        4.914261966944236,
        4.914282949591849,
        4.914303932239463,
        4.914324914887076,
        4.914345897534689,
        4.914366880182302,
        4.9143878628299165,
        4.914408368599174,
        4.914429351246788,
        4.9144503338944014,
        4.914471316542015,
        4.914492299189628,
        4.914513281837242,
        4.914534264484855,
        4.914555247132468,
        4.9145762297800815,
        4.9145972124276955,
        4.914618195075309,
        4.914639177722922,
        4.9146596834921805,
        4.914680666139794,
        4.914701648787408,
        4.914722631435021,
        4.914743614082634,
        4.914764596730247,
        4.9147855793778605,
        4.914806562025475,
        4.914827067794733,
        4.914848050442346,
        4.91486903308996,
        4.914890015737573,
        4.914910998385187,
        4.9149319810328,
        4.914952963680413,
        4.914973469449672,
        4.914994452097285,
        4.915015434744899,
        4.915036417392512,
        4.9150574000401255,
        4.915078382687739,
        4.915098888456997,
        4.9151198711046105,
        4.9151408537522245,
        4.915161836399838,
        4.915182819047451,
        4.9152033248167095,
        4.915224307464323,
        4.915245290111937,
        4.91526627275955,
        4.915287255407163,
        4.915307761176422,
        4.915328743824035,
        4.915349726471648,
        4.915370709119262,
        4.915391214888521,
        4.915412197536134,
        4.915433180183747,
        4.91545416283136,
        4.9154751454789745,
        4.915495651248233,
        4.915516633895846,
        4.915537616543459,
        4.915558122312718,
        4.915579104960331,
        4.915600087607944,
        4.9156210702555585,
        4.915641576024817,
        4.91566255867243,
        4.9156835413200435,
        4.915704523967657,
        4.915725029736915,
        4.915746012384529,
        4.9157669950321425,
        4.915787500801401,
        4.915808483449014,
        4.9158294660966275,
        4.915849971865886,
        4.915870954513499,
        4.915891937161113,
        4.915912919808727,
        4.915933425577985,
        4.915954408225598,
        4.915975390873212,
        4.91599589664247,
        4.916016879290083,
        4.916037861937697,
        4.916058367706956,
        4.916079350354569,
        4.916099856123828,
        4.916120838771441,
        4.916141821419054,
        4.916162327188313,
        4.916183309835926,
        4.91620429248354,
        4.916224798252799,
        4.916245780900412,
        4.916266763548025,
        4.916287269317284,
        4.916308251964897,
        4.9163287577341555,
        4.916349740381769,
        4.916370723029383,
        4.916391228798641,
        4.9164122114462545,
        4.916432717215513,
        4.916453699863126,
        4.9164746825107395,
        4.916495188279998,
        4.916516170927611,
        4.91653667669687,
        4.916557659344484,
        4.916578165113743,
        4.916599147761356,
        4.916889566679459,
        4.916931055096331,
        4.916952037743945,
        4.916972543513203,
        4.916993526160817,
        4.9170140319300755,
        4.917035014577689,
        4.917055520346947,
        4.9170765029945604,
        4.917097008763819,
        4.917117991411432,
        4.917138497180691,
        4.917159479828304,
        4.917179985597563,
        4.917200968245177,
        4.917221474014435,
        4.9172424566620485,
        4.917262962431307,
        4.917283468200566,
        4.917304450848179,
        4.9173249566174375,
        4.917345939265051,
        4.917366445034309,
        4.9173874276819225,
        4.917407933451181,
        4.917428916098794,
        4.917449421868053,
        4.9174699276373115,
        4.917490910284926,
        4.917511416054183,
        4.917532398701797,
        4.917552904471056,
        4.917573410240315,
        4.917594392887928,
        4.917614898657186,
        4.9176358813048,
        4.917656387074058,
        4.917676892843317,
        4.91769787549093,
        4.917718381260189,
        4.917738887029447,
        4.91775986967706,
        4.917780375446319,
        4.917800881215578,
        4.917821863863191,
        4.917842369632449,
        4.917863352280063,
        4.917883858049321,
        4.91790436381858,
        4.917925346466194,
        4.917945852235452,
        4.917966358004711,
        4.917987340652324,
        4.918007846421583,
        4.9180283521908414,
        4.9180488579601,
        4.918069840607713,
        4.918090346376972,
        4.9181108521462304,
        4.918131834793844,
        4.918152340563102,
        4.918172846332361,
        4.918193828979974,
        4.918214334749233,
        4.918234840518491,
        4.91825534628775,
        4.918276328935363,
        4.918296834704622,
        4.91831734047388,
        4.918337846243139,
        4.918358828890752,
        4.918379334660011,
        4.918399840429269,
        4.918420823076882,
        4.918441328846141,
        4.9184618346154,
        4.918482340384658,
        4.918502846153917,
        4.91852382880153,
        4.918544334570789,
        4.918564840340047,
        4.918585346109306,
        4.918606328756919,
        4.918626834526178,
        4.918647340295436,
        4.918667846064695,
        4.9186883518339535,
        4.918709334481567,
        4.918729840250825,
        4.918750346020084,
        4.9187708517893425,
        4.918791357558601,
        4.918812340206214,
        4.918832845975473,
        4.9188533517447315,
        4.91887385751399,
        4.918894363283249,
        4.918914869052507,
        4.9189358517001205,
        4.918956357469379,
        4.918976863238638,
        4.918997369007896,
        4.919017874777155,
        4.9190383805464135,
        4.919059363194027,
        4.919079868963285,
        4.919100374732544,
        4.9191208805018025,
        4.919141386271061,
        4.91916189204032,
        4.919182397809578,
        4.919202903578837,
        4.91922388622645,
        4.919244391995709,
        4.919264897764967,
        4.919285403534226,
        4.9193059093034845,
        4.919326415072743,
        4.919346920842002,
        4.91936742661126,
        4.919387932380519,
        4.919408438149778,
        4.919429420797391,
        4.919449926566649,
        4.919470432335908,
        4.919490938105167,
        4.919511443874425,
        4.919531949643683,
        4.9195524554129415,
        4.9195729611822,
        4.919593466951459,
        4.919613972720717,
        4.919634478489976,
        4.9196549842592345,
        4.919675490028493,
        4.919695995797752,
        4.91971650156701,
        4.919737007336269,
        4.919757513105528,
        4.919778018874786,
        4.919798524644045,
        4.919819030413303,
        4.919839536182562,
        4.91986004195182,
        4.919880547721078,
        4.919901053490337,
        4.9199215592595955,
        4.919942065028854,
        4.919962570798113,
        4.919983076567371,
        4.92000358233663,
        4.9200240881058885,
        4.920044593875147,
        4.920065099644406,
        4.920085605413664,
        4.920106111182923,
        4.920126616952182,
        4.92014712272144,
        4.920167628490699,
        4.9201881342599565,
        4.920208640029215,
        4.920229145798474,
        4.920249651567732,
        4.920270157336991,
        4.9202906631062495,
        4.920311168875508,
        4.920331674644767,
        4.920351703535671,
        4.920372209304929,
        4.920392715074188,
        4.920413220843447,
        4.920433726612704,
        4.920454232381963,
        4.9204747381512215,
        4.92049524392048,
        4.920515749689739,
        4.920536255458997,
        4.920556284349901,
        4.92057679011916,
        4.9205972958884185,
        4.920617801657677,
        4.920638307426936,
        4.9206588131961935,
        4.920679318965452,
        4.920699824734711,
        4.920719853625615,
        4.920740359394873,
        4.920760865164132,
        4.9207813709333905,
        4.920801876702649,
        4.920822382471908,
        4.920842411362811,
        4.9208629171320695,
        4.920883422901328,
        4.920903928670587,
        4.920924434439845,
        4.920944940209104,
        4.920964969100008,
        4.9209854748692665,
        4.921005980638525,
        4.921026486407783,
        4.9210469921770414,
        4.9210670210679455,
        4.921087526837204,
        4.921108032606463,
        4.921128538375721,
        4.92114904414498,
        4.921169073035883,
        4.921189578805142,
        4.9212100845744,
        4.921230590343659,
        4.9212510961129174,
        4.9212711250038215,
        4.92129163077308,
        4.921312136542339,
        4.921332642311597,
        4.9213526712025,
        4.921373176971759,
        4.921393682741018,
        4.921414188510276,
        4.92143421740118,
        4.921454723170439,
        4.9214752289396975,
        4.921495257830601,
        4.921515763599859,
        4.921536269369118,
        4.921556775138376,
        4.92157680402928,
        4.921597309798539,
        4.921617815567798,
        4.921637844458701,
        4.921658350227959,
        4.921678855997218,
        4.921699361766477,
        4.921719390657381,
        4.921739896426639,
        4.921760402195898,
        4.921780431086801,
        4.92180093685606,
        4.921821442625318,
        4.921841471516222,
        4.921861977285481,
        4.921882483054739,
        4.9219025119456425,
        4.921923017714901,
        4.92194352348416,
        4.921963552375064,
        4.921984058144322,
        4.922004563913581,
        4.922024592804484,
        4.922045098573743,
        4.922065127464647,
        4.922085633233905,
        4.922106139003164,
        4.922126167894067,
        4.922146673663326,
        4.922167179432584,
        4.922187208323488,
        4.922207714092747,
        4.92222774298365,
        4.922248248752909,
        4.922268754522167,
        4.922288783413071,
        4.92230928918233,
        4.922329318073234,
        4.9223498238424925,
        4.922369852733396,
        4.922390358502654,
        4.922410864271913,
        4.922430893162817,
        4.9224513989320755,
        4.922471427822979,
        4.922491933592237,
        4.922511962483141,
        4.9225324682524,
        4.922552497143303,
        4.922573002912562,
        4.92259350868182,
        4.922613537572724,
        4.922634043341983,
        4.922654072232886,
        4.922674578002145,
        4.922694606893049,
        4.922715112662307,
        4.922735141553211,
        4.92275564732247,
        4.922775676213373,
        4.922796181982632,
        4.922816210873536,
        4.922836716642794,
        4.922856745533697,
        4.922877251302956,
        4.92289728019386,
        4.922917785963119,
        4.922937814854023,
        4.92295832062328,
        4.922978349514184,
        4.922998855283443,
        4.923018884174347,
        4.923039389943606,
        4.923059418834509,
        4.923079924603767,
        4.923099953494671,
        4.9231199823855745,
        4.923140488154833,
        4.923160517045737,
        4.923181022814996,
        4.9232010517059,
        4.923221557475158,
        4.9232415863660615,
        4.9232616152569655,
        4.923282121026224,
        4.923302149917127,
        4.923322655686386,
        4.92334268457729,
        4.9233631903465485,
        4.9233832192374525,
        4.923403248128356,
        4.923423753897614,
        4.923443782788518,
        4.923464288557777,
        4.92348431744868,
        4.923504346339584,
        4.923524852108843,
        4.923544880999747,
        4.92356490989065,
        4.923585415659908,
        4.923605444550812,
        4.923625950320071,
        4.923645979210974,
        4.923666008101878,
        4.923686513871137,
        4.923706542762041,
        4.923726571652944,
        4.9237470774222025,
        4.9237671063131065,
        4.92378713520401,
        4.923807640973268,
        4.923827669864172,
        4.923847698755076,
        4.923868204524335,
        4.923888233415238,
        4.923908262306142,
        4.923928768075401,
        4.923948796966304,
        4.923968825857208,
        4.9239893316264665,
        4.9240093605173705,
        4.924029389408274,
        4.924049418299178,
        4.924069924068436,
        4.92408995295934,
        4.924109981850243,
        4.924130487619502,
        4.924150516510406,
        4.924170545401309,
        4.924190574292213,
        4.924211080061472,
        4.924231108952376,
        4.924251137843279,
        4.924271166734183,
        4.924291672503442,
        4.924311701394345,
        4.924331730285249,
        4.924351759176153,
        4.924372264945411,
        4.9243922938363145,
        4.9244123227272185,
        4.9244323516181225,
        4.924452857387381,
        4.924472886278284,
        4.924492915169188,
        4.924512944060091,
        4.9245329729509955,
        4.924553478720254,
        4.924573507611158,
        4.924593536502061,
        4.924613565392965,
        4.924633594283869,
        4.924654100053128,
        4.924674128944031,
        4.924694157834935,
        4.924714186725838,
        4.924734215616742,
        4.924754721386001,
        4.924774750276905,
        4.924794779167808,
        4.924814808058712,
        4.924834836949616,
        4.924854865840519,
        4.924874894731423,
        4.924895400500682,
        4.924915429391585,
        4.924935458282489,
        4.924955487173393,
        4.924975516064296,
        4.9249955449552,
        4.925015573846104,
        4.925036079615363,
        4.925056108506266,
        4.92507613739717,
        4.925096166288073,
        4.925116195178977,
        4.925136224069881,
        4.925156252960784,
        4.925176281851688,
        4.925196310742592,
        4.925216816511851,
        4.925236845402754,
        4.925256874293658,
        4.925276903184561,
        4.925296932075465,
        4.925316960966369,
        4.925336989857272,
        4.925357018748176,
        4.92537704763908,
        4.9253970765299835,
        4.9254171054208875,
        4.9254371343117915,
        4.925457163202695,
        4.925477192093599,
        4.925497697862857,
        4.92551772675376,
        4.9255377556446645,
        4.9255577845355685,
        4.925577813426472,
        4.925597842317376,
        4.92561787120828,
        4.925637900099183,
        4.925657928990087,
        4.925677957880991,
        4.925697986771894,
        4.925718015662798,
        4.925738044553701,
        4.925758073444605,
        4.925778102335509,
        4.925798131226412,
        4.925818160117316,
        4.92583818900822,
        4.9258582178991235,
        4.9258782467900275,
        4.9258982756809315,
        4.925918304571835,
        4.925938333462739,
        4.925958362353642,
        4.925978391244546,
        4.92599842013545,
        4.926018449026353,
        4.926038477917257,
        4.926058029929806,
        4.92607805882071,
        4.926098087711614,
        4.926118116602517,
        4.926138145493421,
        4.926158174384325,
        4.926178203275228,
        4.926198232166132,
        4.926218261057035,
        4.926238289947939,
        4.926258318838843,
        4.926278347729746,
        4.92629837662065,
        4.926318405511554,
        4.926337957524103,
        4.926357986415007,
        4.92637801530591,
        4.926398044196814,
        4.926418073087718,
        4.926438101978621,
        4.926458130869525,
        4.926478159760428,
        4.926498188651332,
        4.926517740663881,
        4.926537769554785,
        4.926557798445689,
        4.926577827336592,
        4.926597856227496,
        4.9266178851184,
        4.926637914009303,
        4.926657466021853,
        4.926677494912756,
        4.92669752380366,
        4.926717552694564,
        4.926737581585467,
        4.926757610476371,
        4.92677716248892,
        4.926797191379824,
        4.926817220270727,
        4.926837249161631,
        4.926857278052535,
        4.926877306943438,
        4.926896858955987,
        4.9269168878468905,
        4.9269369167377945,
        4.926956945628699,
        4.926976974519602,
        4.926996526532151,
        4.927016555423054,
        4.927036584313958,
        4.927056613204861,
        4.9270766420957655,
        4.927096194108314,
        4.927116222999218,
        4.927136251890122,
        4.927156280781025,
        4.927175832793575,
        4.927195861684478,
        4.927215890575382,
        4.927235919466286,
        4.927255471478834,
        4.927275500369738,
        4.9272955292606415,
        4.9273155581515455,
        4.927335110164094,
        4.927355139054998,
        4.927375167945901,
        4.927395196836805,
        4.927414748849354,
        4.927434777740258,
        4.927454806631162,
        4.92747435864371,
        4.927494387534614,
        4.927514416425518,
        4.927534445316422,
        4.92755399732897,
        4.927574026219874,
        4.927594055110778,
        4.927613607123327,
        4.927633636014231,
        4.927653664905134,
        4.927673216917683,
        4.9276932458085865,
        4.9277132746994905,
        4.927732826712039,
        4.927752855602943,
        4.927772884493846,
        4.927792436506396,
        4.927812465397299,
        4.927832494288203,
        4.927852046300751,
        4.927872075191655,
        4.927892104082559,
        4.927911656095108,
        4.927931684986012,
        4.927951713876915,
        4.9279712658894645,
        4.927991294780368,
        4.928010846792917,
        4.92803087568382,
        4.928050904574724,
        4.928070456587273,
        4.928090485478177,
        4.928110037490725,
        4.928130066381629,
        4.928150095272533,
        4.928169647285082,
        4.928189676175985,
        4.928209228188535,
        4.928229257079438,
        4.928249285970342,
        4.92826883798289,
        4.928288866873794,
        4.928308418886343,
        4.928328447777247,
        4.928347999789795,
        4.9283680286806995,
        4.9283880575716035,
        4.928407609584152,
        4.928427638475056,
        4.928447190487605,
        4.928467219378509,
        4.928486771391057,
        4.928506800281961,
        4.92852635229451,
        4.928546381185414,
        4.928565933197962,
        4.9285859620888655,
        4.928605514101415,
        4.928625542992318,
        4.928645571883222,
        4.928665123895771,
        4.928685152786675,
        4.928704704799223,
        4.928724733690127,
        4.928744285702676,
        4.92876431459358,
        4.928783866606128,
        4.928803895497032,
        4.928823447509581,
        4.92884299952213,
        4.9288630284130335,
        4.928882580425583,
        4.928902609316486,
        4.9289221613290355,
        4.928942190219939,
        4.928961742232488,
        4.928981771123391,
        4.929001323135941,
        4.929021352026844,
        4.929040904039393,
        4.929060932930296,
        4.929080484942846,
        4.929100036955394,
        4.929120065846298,
        4.929139617858847,
        4.92915964674975,
        4.9291791987622995,
        4.929199227653203,
        4.929218779665752,
        4.929238331678301,
        4.929258360569205,
        4.929277912581753,
        4.929297941472657,
        4.929317493485206,
        4.929337045497754,
        4.929357074388658,
        4.929376626401207,
        4.929396655292111,
        4.9294162073046595,
        4.929435759317209,
        4.929455788208112,
        4.9294753402206615,
        4.92949489223321,
        4.929514921124114,
        4.929534473136663,
        4.929554502027567,
        4.929574054040115,
        4.929593606052664,
        4.929613634943568,
        4.929633186956116,
        4.929652738968666,
        4.929672767859569,
        4.929692319872118,
        4.929711871884667,
        4.929731900775571,
        4.929751452788119,
        4.929771004800668,
        4.929791033691572,
        4.929810585704121,
        4.92983013771667,
        4.929850166607573,
        4.929869718620123,
        4.929889270632671,
        4.929909299523575,
        4.929928851536124,
        4.929948403548672,
        4.929967955561222,
        4.929987984452125,
        4.930007536464674,
        4.930027088477223,
        4.930047117368126,
        4.930066669380675,
        4.930086221393224,
        4.9301057734057725,
        4.9301258022966765,
        4.930145354309225,
        4.9301649063217745,
        4.930184458334323,
        4.930204487225227,
        4.930224039237776,
        4.930243591250324,
        4.930263143262874,
        4.930283172153777,
        4.930302724166326,
        4.930322276178875,
        4.930341828191423,
        4.930361857082327,
        4.930381409094876,
        4.930400961107425,
        4.930420513119974,
        4.930440065132522,
        4.930460094023426,
        4.930479646035975,
        4.930499198048524,
        4.930518750061073,
        4.9305383020736215,
        4.930558330964526,
        4.930577882977074,
        4.9305974349896236,
        4.930616987002172,
        4.930636539014721,
        4.930656567905625,
        4.930676119918173,
        4.930695671930723,
        4.930715223943271,
        4.93073477595582,
        4.930754327968369,
        4.930773879980918,
        4.930793908871822,
        4.93081346088437,
        4.930833012896919,
        4.930852564909468,
        4.930872116922017,
        4.930891668934565,
        4.930911220947115,
        4.930931249838018,
        4.9309508018505674,
        4.930970353863116,
        4.9309899058756645,
        4.931009457888214,
        4.9310290099007625,
        4.931048561913311,
        4.9310681139258605,
        4.931088142816764,
        4.931107694829313,
        4.931127246841862,
        4.93114679885441,
        4.93116635086696,
        4.931185902879508,
        4.931205454892057,
        4.931225006904606,
        4.931244558917155,
        4.931264110929703,
        4.931283662942253,
        4.931303214954801,
        4.931323243845705,
        4.931342795858254,
        4.931362347870802,
        4.931381899883352,
        4.9314014518959,
        4.931421003908449,
        4.931440555920998,
        4.931460107933547,
        4.9314796599460955,
        4.931499211958645,
        4.9315187639711935,
        4.931538315983742,
        4.9315578679962915,
        4.93157742000884,
        4.931596972021389,
        4.931616524033938,
        4.931636076046487,
        4.931655628059035,
        4.931675180071585,
        4.931694732084133,
        4.931714284096682,
        4.931733836109231,
        4.93175338812178,
        4.931772940134328,
        4.931792492146878,
        4.931812044159426,
        4.931831596171975,
        4.931851148184524,
        4.931870700197073,
        4.931890252209621,
        4.931909804222171,
        4.931929356234719,
        4.931948908247269,
        4.931968460259817,
        4.931988012272366,
        4.932007564284915,
        4.932027116297464,
        4.932046668310012,
        4.932065743444206,
        4.932085295456756,
        4.932104847469304,
        4.932124399481853,
        4.932143951494402,
        4.932163503506951,
        4.932183055519499,
        4.932202607532049,
        4.932222159544597,
        4.932241711557146,
        4.932261263569695,
        4.932280815582244,
        4.932299890716438,
        4.9323194427289865,
        4.932338994741536,
        4.9323585467540845,
        4.932378098766633,
        4.9323976507791825,
        4.932417202791731,
        4.93243675480428,
        4.932456306816829,
        4.932475381951023,
        4.9324949339635715,
        4.93251448597612,
        4.9325340379886695,
        4.932553590001218,
        4.932573142013767,
        4.932592694026316,
        4.93261176916051,
        4.932631321173059,
        4.932650873185607,
        4.932670425198157,
        4.932689977210705,
        4.932709529223254,
        4.932728604357448,
        4.932748156369997,
        4.932767708382546,
        4.932787260395095,
        4.932806812407644,
        4.932826364420192,
        4.932845439554386,
        4.932864991566936,
        4.932884543579484,
        4.932904095592033,
        4.932923647604582,
        4.932942722738776,
        4.932962274751325,
        4.932981826763873,
        4.933001378776423,
        4.933020453910617,
        4.933040005923165,
        4.933059557935714,
        4.933079109948263,
        4.933098661960812,
        4.933117737095006,
        4.933137289107554,
        4.933156841120104,
        4.933176393132652,
        4.933195468266846,
        4.933215020279395,
        4.933234572291944,
        4.933254124304493,
        4.933273199438687,
        4.933292751451235,
        4.933312303463785,
        4.933331378597979,
        4.933370482623077,
        4.934029528509479,
        4.934107259681319,
        4.934126334815513,
        4.934261768268291,
        4.935266074083605,
        4.935323776364542,
        4.935342851498736,
        4.935362403511284,
        4.935381478645478,
        4.935400553779672,
        4.935439180926416,
        4.93545825606061,
        4.935477808073158,
        4.935496883207352,
        4.935535510354096,
        4.93555458548829,
        4.935574137500838,
        4.935593212635032,
        4.935612287769226,
        4.935631839781775,
        4.935650914915969,
        4.935669990050163,
        4.935689542062712,
        4.935708617196906,
        4.9357276923311,
        4.9357472443436485,
        4.9357663194778425,
        4.9357853946120365,
        4.935804946624586,
        4.93582402175878,
        4.935843096892974,
        4.935862172027168,
        4.935881724039716,
        4.93590079917391,
        4.935919874308104,
        4.935939426320654,
        4.935958501454848,
        4.935977576589042,
        4.935996651723236,
        4.936016203735784,
        4.936035278869978,
        4.936054354004172,
        4.936073906016721,
        4.936092981150915,
        4.936112056285109,
        4.936131131419303,
        4.936150683431852,
        4.936169758566046,
        4.93618883370024,
        4.936207908834434,
        4.9362274608469825,
        4.9362465359811765,
        4.93626561111537,
        4.936284686249564,
        4.936304238262114,
        4.936323313396308,
        4.936342388530502,
        4.936361463664696,
        4.93638053879889,
        4.936400090811438,
        4.936419165945632,
        4.936438241079826,
        4.93645731621402,
        4.936476391348214,
        4.936495943360764,
        4.9365150184949576,
        4.9365340936291515,
        4.9365531687633455,
        4.9365722438975395,
        4.936591795910088,
        4.936610871044282,
        4.936629946178476,
        4.93664902131267,
        4.936668096446864,
        4.936687171581058,
        4.936706723593607,
        4.936725798727801,
        4.936744873861995,
        4.936763948996189,
        4.936783024130383,
        4.936802099264577,
        4.936821174398771,
        4.93684072641132,
        4.936859801545514,
        4.936878876679708,
        4.936897951813902,
        4.9369170269480955,
        4.9369361020822895,
        4.9369551772164835,
        4.936974252350677,
        4.936993804363227,
        4.937012879497421,
        4.937031954631615,
        4.937051029765809,
        4.937070104900003,
        4.937089180034197,
        4.937108255168391,
        4.937127330302585,
        4.937146405436779,
        4.937165480570973,
        4.937185032583521,
        4.937204107717716,
        4.93722318285191,
        4.937242257986104,
        4.937261333120298,
        4.937280408254492,
        4.937299483388686,
        4.93731855852288,
        4.937337633657074,
        4.937356708791268,
        4.937375783925462,
        4.937394859059656,
        4.93741393419385,
        4.937433009328044,
        4.937452084462238,
        4.937471159596432,
        4.9374902347306255,
        4.9375093098648195,
        4.9375283849990135,
        4.9375474601332074,
        4.937566535267401,
        4.937586087279951,
        4.937605162414145,
        4.937624237548339,
        4.937643312682533,
        4.937662387816727,
        4.937681462950921,
        4.937700538085115,
        4.937719613219309,
        4.937738688353503,
        4.937757286609342,
        4.937776361743536,
        4.93779543687773,
        4.937814512011924,
        4.937833587146118,
        4.937852662280312,
        4.937871737414506,
        4.9378908125487,
        4.937909887682894,
        4.937928962817088,
        4.937948037951282,
        4.937967113085476,
        4.93798618821967,
        4.938005263353864,
        4.9380243384880576,
        4.9380434136222515,
        4.9380624887564455,
        4.9380815638906395,
        4.938100639024833,
        4.938119714159027,
        4.938138789293221,
        4.938157387549061,
        4.938176462683255,
        4.938195537817449,
        4.938214612951643,
        4.938233688085837,
        4.938252763220031,
        4.938271838354225,
        4.9382909134884185,
        4.9383099886226125,
        4.9383290637568065,
        4.938347662012646,
        4.93836673714684,
        4.938385812281034,
        4.938404887415228,
        4.938423962549422,
        4.938443037683616,
        4.93846211281781,
        4.938481187952004,
        4.938499786207843,
        4.938518861342037,
        4.938537936476231,
        4.938557011610425,
        4.938576086744619,
        4.938595161878813,
        4.938614237013007,
        4.938632835268846,
        4.93865191040304,
        4.938670985537234,
        4.938690060671428,
        4.938709135805622,
        4.938728210939816,
        4.9387468091956555,
        4.938765884329849,
        4.938784959464043,
        4.938804034598237,
        4.938823109732431,
        4.938841707988271,
        4.938860783122465,
        4.938879858256659,
        4.938898933390853,
        4.938918008525047,
        4.938936606780886,
        4.93895568191508,
        4.938974757049274,
        4.938993832183468,
        4.939012907317662,
        4.939031505573501,
        4.939050580707695,
        4.939069655841889,
        4.939088730976083,
        4.939107329231922,
        4.939126404366116,
        4.9391454795003105,
        4.939164554634504,
        4.939183152890343,
        4.939202228024537,
        4.939221303158731,
        4.939240378292925,
        4.939258976548764,
        4.939278051682958,
        4.939297126817152,
        4.939316201951346,
        4.9393348002071855,
        4.9393538753413795,
        4.9393729504755735,
        4.939391548731413,
        4.939410623865607,
        4.939429698999801,
        4.939448774133995,
        4.939467372389834,
        4.939486447524028,
        4.939505522658222,
        4.939524120914061,
        4.9395431960482545,
        4.939562271182449,
        4.939580869438288,
        4.939599944572482,
        4.939619019706676,
        4.939637617962515,
        4.939656693096709,
        4.939675768230903,
        4.9396943664867425,
        4.9397134416209365,
        4.9397325167551305,
        4.93975111501097,
        4.939770190145164,
        4.939789265279358,
        4.939807863535196,
        4.939826938669391,
        4.939846013803585,
        4.939864612059424,
        4.939883687193618,
        4.939902285449457,
        4.939921360583651,
        4.939940435717845,
        4.939959033973684,
        4.939978109107878,
        4.939997184242072,
        4.940015782497912,
        4.940034857632106,
        4.940053455887944,
        4.940072531022138,
        4.940091606156333,
        4.940110204412171,
        4.940129279546365,
        4.940147877802205,
        4.940166952936399,
        4.940186028070593,
        4.940204626326432,
        4.940223701460626,
        4.9402422997164654,
        4.940261374850659,
        4.940279973106498,
        4.940299048240692,
        4.940317646496531,
        4.940336721630725,
        4.940355796764919,
        4.940374395020759,
        4.940393470154953,
        4.940412068410792,
        4.940431143544986,
        4.940449741800825,
        4.940468816935019,
        4.940487415190858,
        4.940506490325052,
        4.940525088580891,
        4.940544163715085,
        4.9405627619709245,
        4.9405818371051184,
        4.940600912239312,
        4.940619510495152,
        4.940638585629346,
        4.940657183885184,
        4.940676259019378,
        4.940694857275218,
        4.940713932409412,
        4.940732530665251,
        4.94075112892109,
        4.940770204055284,
        4.940788802311123,
        4.940807877445317,
        4.940826475701156,
        4.94084555083535,
        4.9408641490911895,
        4.9408832242253835,
        4.940901822481223,
        4.940920897615417,
        4.940939495871256,
        4.94095857100545,
        4.940977169261289,
        4.940996244395483,
        4.941014842651322,
        4.9410334409071615,
        4.941052516041355,
        4.941071114297195,
        4.941090189431389,
        4.941108787687227,
        4.941127862821421,
        4.941146461077261,
        4.9411650593331,
        4.941184134467294,
        4.941202732723133,
        4.941221807857327,
        4.941240406113166,
        4.941259004369005,
        4.941278079503199,
        4.941296677759039,
        4.9413157528932325,
        4.941334351149072,
        4.94135294940491,
        4.941372024539104,
        4.941390622794944,
        4.941409697929138,
        4.941428296184977,
        4.9414468944408165,
        4.9414659695750105,
        4.941484567830849,
        4.941503166086688,
        4.941522241220882,
        4.941540839476722,
        4.941559914610916,
        4.941578512866755,
        4.941597111122594,
        4.9416161862567884,
        4.941634784512627,
        4.941653382768466,
        4.94167245790266,
        4.9416910561585,
        4.941709654414339,
        4.941728729548533,
        4.9417473278043715,
        4.941765926060211,
        4.941785001194405,
        4.941803599450244,
        4.941822197706084,
        4.941840795961922,
        4.941859871096116,
        4.9418784693519555,
        4.941897067607795,
        4.941916142741989,
        4.941934740997828,
        4.941953339253667,
        4.941972414387861,
        4.9419910126437,
        4.9420096108995395,
        4.942028209155379,
        4.942047284289573,
        4.942065882545411,
        4.942084480801251,
        4.94210307905709,
        4.942122154191284,
        4.9421407524471235,
        4.942159350702962,
        4.942177948958801,
        4.942197024092995,
        4.942215622348835,
        4.942234220604674,
        4.942252818860513,
        4.942271893994707,
        4.942290492250546,
        4.942309090506385,
        4.942327688762224,
        4.942346763896419,
        4.942365362152257,
        4.942383960408097,
        4.942402558663936,
        4.9424211569197745,
        4.942440232053969,
        4.942458830309808,
        4.942477428565647,
        4.942496026821487,
        4.942514625077325,
        4.942533700211519,
        4.942552298467358,
        4.942570896723198,
        4.942589494979037,
        4.942608093234876,
        4.94262716836907,
        4.942645766624909,
        4.9426643648807485,
        4.942682963136588,
        4.942701561392426,
        4.942720159648266,
        4.94273923478246,
        4.942757833038299,
        4.9427764312941385,
        4.942795029549977,
        4.942813627805816,
        4.942832226061656,
        4.942850824317495,
        4.942869899451689,
        4.942888497707528,
        4.942907095963367,
        4.942925694219206,
        4.942944292475046,
        4.942962890730884,
        4.946249059474156,
        4.949982540114277,
        4.9500044765186,
        4.950026889801278,
        4.9500488262056015,
        4.950070762609924,
        4.950093175892602,
        4.950115112296925,
        4.950137048701248,
        4.950158985105571,
        4.950181398388249,
        4.9502033347925725,
        4.950225271196896,
        4.9502476844795735,
        4.950269620883897,
        4.95029155728822,
        4.950313970570898,
        4.950335906975221,
        4.950357843379543,
        4.950379779783867,
        4.9504021930665445,
        4.950424129470868,
        4.950446065875191,
        4.950468002279514,
        4.950490415562192,
        4.950512351966515,
        4.9505342883708385,
        4.950556224775162,
        4.95057863805784,
        4.950600574462163,
        4.950622510866485,
        4.950644447270808,
        4.950666860553486,
        4.9506887969578095,
        4.950710733362133,
        4.950732669766456,
        4.950754606170779,
        4.950777019453457,
        4.95079895585778,
        4.9508208922621035,
        4.950842828666427,
        4.950864765070749,
        4.950887178353427,
        4.95090911475775,
        4.950931051162073,
        4.950952987566397,
        4.95097492397072,
        4.950997337253398,
        4.951019273657721,
        4.951041210062044,
        4.9510631464663675,
        4.95108508287069,
        4.951107019275013,
        4.951128955679336,
        4.951151368962014,
        4.951173305366337,
        4.951195241770661,
        4.951217178174984,
        4.951239114579307,
        4.9512610509836295,
        4.951282987387953,
        4.951304923792276,
        4.951349273479277,
        4.9513712098836,
        4.9513931462879235,
        4.951415082692247,
        4.951437019096569,
        4.951458955500892,
        4.951480891905216,
        4.951502828309539,
        4.951524764713862,
        4.95154717799654,
        4.951569114400863,
        4.951591050805186,
        4.951612987209509,
        4.951634923613832,
        4.951656860018155,
        4.951678796422478,
        4.951700732826802,
        4.951722669231125,
        4.951744605635448,
        4.9517665420397705,
        4.951788478444094,
        4.951810414848417,
        4.95183235125274,
        4.9518542876570635,
        4.951876224061387,
        4.951898160465709,
        4.951920096870032,
        4.951942033274356,
        4.951963969678679,
        4.951985906083002,
        4.952007842487325,
        4.952029778891648,
        4.952051715295971,
        4.952073651700294,
        4.952095588104617,
        4.952117524508941,
        4.952139460913264,
        4.952205270126233,
        4.952336888552171,
        4.9523588249564945,
        4.953715305436866,
        4.955949242090161,
        4.955992638020452,
        4.95601409754642,
        4.956035557072388,
        4.956078953002679,
        4.956100412528648,
        4.9561652679849075,
        4.9562086639151985,
        4.956230123441167,
        4.956294978897427,
        4.956316438423395,
        4.956337897949363,
        4.9563598343536865,
        4.956381293879654,
        4.956402753405623,
        4.956531987439787,
        4.9565968428960465,
        4.956618302422015,
        4.956640238826338,
        4.956704617404243,
        4.956726076930211,
        4.9567480133345345,
        4.956769472860502,
        4.956833851438407,
        4.956855310964375,
        4.958092571856033,
        4.9604075778296535,
        4.960513921702785,
        4.960535381228753,
        4.9605778234023346,
        4.960598806049949,
        4.960620265575916,
        4.96064124822353,
        4.960662707749498,
        4.960683690397111,
        4.96070514992308,
        4.960726609449048,
        4.960790034270243,
        4.960811493796212,
        4.960832476443825,
        4.9608539359697925,
        4.960874918617407,
        4.960896378143374,
        4.960917360790988,
        4.960938820316956,
        4.960959802964569,
        4.960981262490538,
        4.961002245138151,
        4.961023227785764,
        4.961044687311733,
        4.961065669959346,
        4.961087129485315,
        4.961108112132928,
        4.961129571658896,
        4.96115055430651,
        4.961172013832478,
        4.961192996480091,
        4.96121445600606,
        4.961235438653673,
        4.961256421301286,
        4.961277880827255,
        4.961298863474868,
        4.9613203230008365,
        4.96134130564845,
        4.961362288296063,
        4.9613837478220315,
        4.961404730469645,
        4.961426189995613,
        4.9614471726432265,
        4.96146815529084,
        4.961489614816808,
        4.961510597464422,
        4.961532056990389,
        4.961553039638003,
        4.961574022285617,
        4.961595481811584,
        4.9616164644591985,
        4.961637923985166,
        4.961658906632779,
        4.9616798892803935,
        4.961701348806361,
        4.9617223314539745,
        4.9617433141015885,
        4.961764773627556,
        4.9617857562751695,
        4.961806738922784,
        4.961828198448751,
        4.9618491810963645,
        4.961870163743979,
        4.961891623269946,
        4.9619126059175604,
        4.961933588565174,
        4.961955048091141,
        4.9619760307387555,
        4.961997013386369,
        4.962017996033982,
        4.9620394555599505,
        4.962060438207564,
        4.962081420855177,
        4.9621028803811456,
        4.962123863028759,
        4.962144845676372,
        4.962165828323985,
        4.962187287849954,
        4.962208270497567,
        4.96222925314518,
        4.962250712671149,
        4.962271695318762,
        4.962292677966375,
        4.962313660613989,
        4.962335120139957,
        4.96235610278757,
        4.962377085435184,
        4.9623980680827975,
        4.962419527608765,
        4.962440510256379,
        4.9624614929039925,
        4.962482475551606,
        4.962503458199219,
        4.962524917725188,
        4.962545900372801,
        4.962566883020414,
        4.962587865668028,
        4.962608848315641,
        4.962630307841609,
        4.962651290489223,
        4.962672273136836,
        4.962693255784449,
        4.962714238432063,
        4.962735697958031,
        4.9627566806056445,
        4.962777663253258,
        4.962798645900872,
        4.962819628548485,
        4.962840611196098,
        4.962862070722067,
        4.96288305336968,
        4.962904036017293,
        4.962925018664906,
        4.96294600131252,
        4.962966983960134,
        4.962987966607747,
        4.963009426133715,
        4.963030408781329,
        4.963051391428942,
        4.963072374076555,
        4.963093356724169,
        4.963114339371782,
        4.9631353220193954,
        4.963156304667009,
        4.963177764192977,
        4.9631987468405905,
        4.963219729488204,
        4.963240712135818,
        4.963261694783431,
        4.963282677431044,
        4.963303660078657,
        4.963324642726271,
        4.963345625373885,
        4.963366608021498,
        4.963387590669111,
        4.963408573316724,
        4.963430032842693,
        4.963451015490306,
        4.963471998137919,
        4.963492980785533,
        4.963513963433146,
        4.96353494608076,
        4.963555928728373,
        4.963576911375987,
        4.9635978940236,
        4.963618876671213,
        4.9636398593188265,
        4.9636608419664405,
        4.963681824614054,
        4.963702807261667,
        4.96372378990928,
        4.963744772556894,
        4.963765755204507,
        4.9637867378521205,
        4.963807720499734,
        4.963828703147348,
        4.963849685794961,
        4.963870668442574,
        4.963891651090187,
        4.9639126337378014,
        4.963933616385415,
        4.963954599033028,
        4.963975581680641,
        4.963996564328254,
        4.964017546975868,
        4.9640385296234815,
        4.964059512271095,
        4.964080494918708,
        4.964101477566322,
        4.964122460213935,
        4.964142965983194,
        4.964163948630807,
        4.96418493127842,
        4.964205913926034,
        4.964226896573647,
        4.9642478792212605,
        4.964268861868874,
        4.964289844516488,
        4.964310827164101,
        4.964331809811714,
        4.964352792459327,
        4.9643737751069414,
        4.964394757754555,
        4.964415263523813,
        4.964436246171426,
        4.96445722881904,
        4.964478211466653,
        4.964499194114267,
        4.96452017676188,
        4.964541159409493,
        4.964562142057106,
        4.964582647826365,
        4.964603630473979,
        4.964624613121592,
        4.9646455957692055,
        4.964666578416819,
        4.964687561064433,
        4.964708543712046,
        4.964729049481305,
        4.964750032128918,
        4.964771014776531,
        4.964791997424144,
        4.964812980071758,
        4.964833962719371,
        4.96485446848863,
        4.964875451136243,
        4.964896433783856,
        4.96491741643147,
        4.964938399079084,
        4.964958904848342,
        4.964979887495955,
        4.965000870143569,
        4.965021852791182,
        4.965042835438796,
        4.9650633412080545,
        4.965084323855668,
        4.965105306503281,
        4.965126289150894,
        4.965146794920153,
        4.965167777567767,
        4.96518876021538,
        4.965209742862993,
        4.965230725510606,
        4.965251231279865,
        4.965272213927478,
        4.965293196575092,
        4.965314179222705,
        4.965334684991964,
        4.965355667639577,
        4.96537665028719,
        4.965397156056449,
        4.965418138704062,
        4.965439121351676,
        4.965460103999289,
        4.965480609768548,
        4.965501592416161,
        4.965522575063774,
        4.965543080833033,
        4.965564063480647,
        4.96558504612826,
        4.965606028775873,
        4.965626534545132,
        4.965647517192745,
        4.965668499840358,
        4.965689005609617,
        4.965709988257231,
        4.965730970904844,
        4.965751476674103,
        4.965772459321716,
        4.965793441969329,
        4.965813947738588,
        4.965834930386201,
        4.965855913033815,
        4.965876418803074,
        4.965897401450687,
        4.9659183840983,
        4.965938889867559,
        4.965959872515172,
        4.9659803782844305,
        4.966001360932045,
        4.966022343579658,
        4.966042849348916,
        4.96606383199653,
        4.966084814644143,
        4.966105320413401,
        4.9661263030610145,
        4.966146808830273,
        4.966167791477887,
        4.9661887741255,
        4.966209279894759,
        4.966230262542372,
        4.966250768311631,
        4.966271750959244,
        4.966292256728503,
        4.966313239376116,
        4.96633422202373,
        4.966354727792988,
        4.966375710440602,
        4.96639621620986,
        4.9664171988574735,
        4.966437704626732,
        4.966458687274345,
        4.966479193043604,
        4.966500175691217,
        4.96652115833883,
        4.966541664108089,
        4.966562646755703,
        4.9665831525249615,
        4.966604135172575,
        4.966624640941833,
        4.9666456235894465,
        4.966666129358705,
        4.966687112006318,
        4.966707617775577,
        4.96672860042319,
        4.966749106192449,
        4.966770088840063,
        4.966790594609321,
        4.966811577256935,
        4.966832083026193,
        4.966853065673806,
        4.966873571443065,
        4.966894554090678,
        4.966915059859937,
        4.96693604250755,
        4.9669565482768085,
        4.966977530924422,
        4.96699803669368,
        4.967018542462939,
        4.967039525110553,
        4.967060030879812,
        4.967081013527425,
        4.967101519296683,
        4.967122501944297,
        4.967143007713555,
        4.967163513482814,
        4.967184496130427,
        4.967205001899686,
        4.967225984547299,
        4.967246490316557,
        4.967267472964171,
        4.967287978733429,
        4.967308484502688,
        4.967329467150302,
        4.96734997291956,
        4.967370955567174,
        4.967391461336432,
        4.967411967105691,
        4.967432949753304,
        4.967453455522563,
        4.967474438170176,
        4.9674949439394345,
        4.967515449708693,
        4.967536432356306,
        4.967556938125565,
        4.9675774438948235,
        4.967598426542437,
        4.967618932311695,
        4.967639438080954,
        4.967660420728567,
        4.967680926497826,
        4.967701432267084,
        4.9677224149146975,
        4.967742920683956,
        4.967763426453215,
        4.967784409100829,
        4.967804914870087,
        4.967825420639345,
        4.967846403286959,
        4.967866909056218,
        4.967887414825476,
        4.9679083974730895,
        4.967928903242348,
        4.967949409011607,
        4.967969914780865,
        4.9679908974284785,
        4.968011403197737,
        4.968031908966996,
        4.968052891614609,
        4.9680733973838676,
        4.968093903153126,
        4.968114408922385,
        4.968135391569998,
        4.9681558973392566,
        4.968176403108515,
        4.968196908877774,
        4.968217891525387,
        4.968238397294646,
        4.968258903063904,
        4.968279408833163,
        4.968300391480776,
        4.968320897250035,
        4.968341403019293,
        4.968361908788552,
        4.968382891436165,
        4.968403397205424,
        4.968423902974682,
        4.968444408743941,
        4.968464914513199,
        4.968485897160813,
        4.968506402930071,
        4.96852690869933,
        4.968547414468588,
        4.968567920237847,
        4.96858890288546,
        4.968609408654719,
        4.968629914423977,
        4.968650420193236,
        4.968670925962495,
        4.968691908610108,
        4.968712414379366,
        4.968732920148625,
        4.968753425917884,
        4.968773931687142,
        4.968794437456401,
        4.968814943225659,
        4.968835925873273,
        4.968856431642531,
        4.96887693741179,
        4.968897443181048,
        4.968917948950307,
        4.968938454719566,
        4.968958960488824,
        4.968979943136437,
        4.969000448905696,
        4.969020954674955,
        4.969041460444213,
        4.969061966213472,
        4.9690824719827305,
        4.969102977751989,
        4.969123483521248,
        4.969143989290505,
        4.969164495059764,
        4.969185477707378,
        4.969205983476637,
        4.969226489245895,
        4.969246995015153,
        4.969267500784412,
        4.96928800655367,
        4.969308512322929,
        4.969329018092187,
        4.969349523861446,
        4.969370029630705,
        4.969390535399963,
        4.969411041169222,
        4.96943154693848,
        4.969452052707739,
        4.969472558476998,
        4.969493064246256,
        4.969513570015515,
        4.969534552663128,
        4.969555058432387,
        4.969575564201645,
        4.969596069970904,
        4.9696165757401625,
        4.969637081509421,
        4.96965758727868,
        4.969678093047938,
        4.969698598817196,
        4.969719104586455,
        4.969739610355713,
        4.969760116124972,
        4.96978062189423,
        4.969801127663489,
        4.969821633432748,
        4.969842139202006,
        4.96986216809291,
        4.969882673862169,
        4.9699031796314275,
        4.969923685400685,
        4.969944191169944,
        4.969964696939202,
        4.969985202708461,
        4.97000570847772,
        4.970026214246978,
        4.970046720016237,
        4.970067225785495,
        4.970087731554754,
        4.970108237324013,
        4.970128743093271,
        4.97014924886253,
        4.9701697546317885,
        4.970190260401047,
        4.97021028929195,
        4.970230795061209,
        4.970251300830467,
        4.970271806599726,
        4.970292312368985,
        4.970312818138243,
        4.970333323907502,
        4.97035382967676,
        4.970374335446019,
        4.970394841215278,
        4.970414870106181,
        4.970435375875439,
        4.970455881644698,
        4.970476387413957,
        4.970496893183215,
        4.970517398952474,
        4.970537904721732,
        4.970557933612636,
        4.970578439381895,
        4.970598945151154,
        4.970619450920412,
        4.97063995668967,
        4.970660462458929,
        4.970680968228187,
        4.970700997119091,
        4.97072150288835,
        4.970742008657608,
        4.970762514426867,
        4.970783020196126,
        4.970803049087029,
        4.970823554856287,
        4.970844060625546,
        4.970864566394805,
        4.970885072164063,
        4.970905101054967,
        4.970925606824226,
        4.970946112593484,
        4.970966618362743,
        4.970987124132002,
        4.971007153022905,
        4.971027658792163,
        4.971048164561422,
        4.971068670330681,
        4.971088699221585,
        4.971109204990843,
        4.971129710760101,
        4.9711502165293595,
        4.9711702454202635,
        4.971190751189522,
        4.971211256958781,
        4.971231762728039,
        4.971251791618943,
        4.971272297388201,
        4.97129280315746,
        4.971313308926718,
        4.971333337817622,
        4.971353843586881,
        4.9713743493561395,
        4.971394378247043,
        4.971414884016301,
        4.97143538978556,
        4.9714558955548185,
        4.9714759244457225,
        4.971496430214981,
        4.97151693598424,
        4.971536964875143,
        4.9715574706444015,
        4.97157797641366,
        4.971598005304564,
        4.971618511073823,
        4.971639016843081,
        4.971659045733984,
        4.971679551503243,
        4.971700057272502,
        4.971720086163406,
        4.971740591932664,
        4.971761097701923,
        4.971781126592827,
        4.971801632362085,
        4.971822138131343,
        4.971842167022247,
        4.971862672791506,
        4.9718831785607644,
        4.9719032074516685,
        4.971923713220926,
        4.97194374211183,
        4.971964247881089,
        4.971984753650347,
        4.9720047825412514,
        4.97202528831051,
        4.972045317201413,
        4.972065822970672,
        4.97208632873993,
        4.972106357630834,
        4.972126863400093,
        4.972146892290996,
        4.972167398060255,
        4.972187903829513,
        4.972207932720417,
        4.972228438489676,
        4.972248467380579,
        4.972268973149838,
        4.972289002040742,
        4.97230950781,
        4.972330013579259,
        4.972350042470163,
        4.972370548239421,
        4.972390577130325,
        4.972411082899583,
        4.972431111790487,
        4.972451617559746,
        4.972471646450649,
        4.972492152219908,
        4.972512181110812,
        4.97253268688007,
        4.9725527157709735,
        4.972573221540232,
        4.972593250431136,
        4.972613756200395,
        4.972633785091299,
        4.972654290860556,
        4.9726743197514605,
        4.972694825520719,
        4.972714854411623,
        4.972735360180882,
        4.972755389071785,
        4.972775894841043,
        4.9727959237319475,
        4.972816429501206,
        4.972836458392109,
        4.972856964161368,
        4.972876993052272,
        4.97289749882153,
        4.9729175277124344,
        4.972938033481693,
        4.972958062372596,
        4.9729780912635,
        4.972998597032759,
        4.973018625923662,
        4.9730391316929206,
        4.973059160583825,
        4.973079666353083,
        4.973099695243987,
        4.97311972413489,
        4.973140229904149,
        4.973160258795053,
        4.973180764564312,
        4.973200793455215,
        4.973221299224473,
        4.973241328115377,
        4.973261357006281,
        4.973281862775539,
        4.973301891666443,
        4.973321920557347,
        4.973342426326606,
        4.973362455217509,
        4.9733829609867675,
        4.9734029898776715,
        4.9734230187685755,
        4.973443524537833,
        4.973463553428737,
        4.973483582319641,
        4.9735040880889,
        4.973524116979803,
        4.973544622749062,
        4.973564651639966,
        4.97358468053087,
        4.973605186300127,
        4.973625215191031,
        4.973645244081935,
        4.973665749851194,
        4.973685778742097,
        4.973705807633001,
        4.973725836523905,
        4.973746342293164,
        4.973766371184067,
        4.973786400074971,
        4.97380690584423,
        4.973826934735133,
        4.973846963626037,
        4.973867469395295,
        4.973887498286199,
        4.9739075271771025,
        4.9739275560680065,
        4.973948061837265,
        4.973968090728168,
        4.973988119619072,
        4.974008625388331,
        4.974028654279235,
        4.974048683170138,
        4.974068712061042,
        4.974089217830301,
        4.974109246721205,
        4.974129275612108,
        4.974149304503012,
        4.9741698102722705,
        4.974189839163174,
        4.974209868054078,
        4.974229896944982,
        4.97425040271424,
        4.974270431605143,
        4.974290460496047,
        4.974310489386951,
        4.9743305182778546,
        4.974351024047113,
        4.974371052938017,
        4.97439108182892,
        4.974411110719824,
        4.974431139610728,
        4.974451645379987,
        4.97447167427089,
        4.974491703161794,
        4.974511732052698,
        4.974531760943601,
        4.97455226671286,
        4.974572295603764,
        4.974592324494667,
        4.974612353385571,
        4.974632382276475,
        4.974652411167378,
        4.974672916936637,
        4.974692945827541,
        4.974712974718445,
        4.974733003609348,
        4.974753032500252,
        4.974773061391155,
        4.974793090282059,
        4.974813596051318,
        4.974833624942222,
        4.974853653833125,
        4.974873682724029,
        4.974893711614933,
        4.974913740505836,
        4.97493376939674,
        4.974953798287643,
        4.974974304056902,
        4.974994332947806,
        4.97501436183871,
        4.975034390729613,
        4.975054419620517,
        4.975074448511421,
        4.975094477402324,
        4.975114506293228,
        4.975134535184132,
        4.975154564075035,
        4.9751745929659394,
        4.975194621856843,
        4.975215127626101,
        4.975235156517005,
        4.975255185407909,
        4.975275214298812,
        4.975295243189716,
        4.97531527208062,
        4.9753353009715235,
        4.975355329862428,
        4.975375358753331,
        4.975395387644235,
        4.975415416535139,
        4.975435445426042,
        4.975455474316946,
        4.97547550320785,
        4.975495532098753,
        4.975515560989657,
        4.975535589880561,
        4.975555618771464,
        4.975575647662368,
        4.975595676553271,
        4.975615705444175,
        4.975635734335079,
        4.975655763225983,
        4.975675792116887,
        4.975695821007791,
        4.975715849898694,
        4.975735878789598,
        4.975755907680502,
        4.975775936571405,
        4.975795965462309,
        4.975815994353213,
        4.975836023244116,
        4.97585605213502,
        4.975876081025923,
        4.975896109916827,
        4.975916138807731,
        4.9759361676986344,
        4.9759561965895385,
        4.9759762254804425,
        4.975995777492991,
        4.976015806383895,
        4.976035835274798,
        4.976055864165702,
        4.976075893056606,
        4.976095921947509,
        4.976115950838413,
        4.9761359797293165,
        4.976156008620221,
        4.976176037511125,
        4.976196066402028,
        4.976215618414577,
        4.97623564730548,
        4.976255676196384,
        4.976275705087288,
        4.9762957339781915,
        4.9763157628690955,
        4.9763357917599995,
        4.976355820650903,
        4.976375849541807,
        4.976395401554355,
        4.976415430445259,
        4.976435459336162,
        4.976455488227066,
        4.97647551711797,
        4.976495546008874,
        4.976515574899778,
        4.976535126912326,
        4.97655515580323,
        4.976575184694134,
        4.976615242475941,
        4.976654823379394,
        4.977650068505966,
        4.9776896494094185,
        4.977709678300322,
        4.977729707191226,
        4.977749259203774,
        4.977769288094678,
        4.977789316985582,
        4.977808868998131,
        4.977828897889035,
        4.977848926779938,
        4.977868478792487,
        4.9778885076833905,
        4.97790805969594,
        4.977928088586843,
        4.977948117477747,
        4.977967669490296,
        4.9779876983812,
        4.978007250393748,
        4.978027279284652,
        4.978047308175555,
        4.978066860188105,
        4.978086889079008,
        4.978106441091557,
        4.9781264699824606,
        4.97814602199501,
        4.978166050885913,
        4.978186079776817,
        4.978205631789366,
        4.97822566068027,
        4.978245212692818,
        4.978265241583722,
        4.978284793596271,
        4.978304822487175,
        4.978324374499723,
        4.9783444033906274,
        4.978363955403176,
        4.97838398429408,
        4.978404013184984,
        4.978423565197533,
        4.978443594088437,
        4.978463146100985,
        4.978483174991888,
        4.978502727004438,
        4.978522755895341,
        4.97854230790789,
        4.9785623367987935,
        4.978581888811343,
        4.978601917702246,
        4.9786214697147955,
        4.978641498605699,
        4.978661050618248,
        4.978681079509151,
        4.978700631521701,
        4.978720183534249,
        4.978740212425153,
        4.978759764437702,
        4.978779793328606,
        4.978799345341154,
        4.978819374232058,
        4.978838926244607,
        4.978858955135511,
        4.9788785071480595,
        4.9788985360389635,
        4.978918088051512,
        4.978937640064061,
        4.978957668954965,
        4.978977220967513,
        4.978997249858417,
        4.979016801870966,
        4.97903683076187,
        4.979056382774418,
        4.979075934786968,
        4.979095963677871,
        4.979115515690419,
        4.9791355445813235,
        4.979155096593872,
        4.9791746486064214,
        4.979194677497325,
        4.979214229509874,
        4.979234258400777,
        4.979253810413327,
        4.979273362425875,
        4.979293391316779,
        4.979312943329328,
        4.979332495341876,
        4.97935252423278,
        4.979372076245329,
        4.979392105136233,
        4.979411657148781,
        4.979431209161331,
        4.979451238052234,
        4.979470790064783,
        4.979490342077332,
        4.979510370968236,
        4.979529922980785,
        4.979549474993333,
        4.979569503884237,
        4.979589055896786,
        4.979608607909335,
        4.979628636800238,
        4.979648188812788,
        4.979667740825336,
        4.97968776971624,
        4.979707321728789,
        4.979726873741337,
        4.979746425753887,
        4.97976645464479,
        4.979786006657339,
        4.979805558669888,
        4.979825587560792,
        4.9798451395733405,
        4.979864691585889,
        4.9798842435984385,
        4.979904272489342,
        4.979923824501891,
        4.97994337651444,
        4.979963405405344,
        4.979982957417892,
        4.980002509430441,
        4.98002206144299,
        4.980042090333893,
        4.980061642346443,
        4.980081194358991,
        4.98010074637154,
        4.980120775262444,
        4.9801403272749925,
        4.980159879287541,
        4.98017943130009,
        4.980198983312639,
        4.980219012203543,
        4.980238564216092,
        4.98025811622864,
        4.980297697132093,
        4.980317249144642,
        4.980336801157191,
        4.980415486085741,
        4.980454590110838,
        4.980572379064487,
        4.9805919310770355,
        4.981747407330837,
        4.981942450577971,
        4.981981554603069,
        4.982001106615617,
        4.982020658628167,
        4.982040210640715,
        4.982059762653264,
        4.982078837787458,
        4.982098389800007,
        4.982117941812556,
        4.982137493825104,
        4.982157045837654,
        4.982176597850202,
        4.982196149862751,
        4.9822157018753,
        4.982235253887849,
        4.982254329022043,
        4.982273881034591,
        4.982293433047141,
        4.982312985059689,
        4.982332537072238,
        4.982352089084787,
        4.982371641097336,
        4.98239071623153,
        4.982410268244078,
        4.982429820256628,
        4.982449372269176,
        4.982468924281725,
        4.982488476294274,
        4.982508028306823,
        4.982527103441017,
        4.982546655453566,
        4.982566207466115,
        4.982585759478663,
        4.982605311491213,
        4.982624386625407,
        4.982643938637955,
        4.982663490650504,
        4.982683042663053,
        4.982702594675602,
        4.982721669809796,
        4.982741221822344,
        4.982760773834894,
        4.982780325847442,
        4.982799877859991,
        4.982818952994185,
        4.982838505006734,
        4.982858057019283,
        4.982877609031831,
        4.982896684166025,
        4.982916236178575,
        4.982935788191123,
        4.982955340203672,
        4.982974892216221,
        4.982993967350415,
        4.983013519362964,
        4.983033071375512,
        4.983052146509707,
        4.983071698522256,
        4.983091250534804,
        4.983110802547354,
        4.983129877681548,
        4.983149429694096,
        4.983168981706645,
        4.983188533719194,
        4.983207608853388,
        4.983227160865937,
        4.983246712878485,
        4.983265788012679,
        4.983285340025229,
        4.983304892037777,
        4.983324444050326,
        4.98334351918452,
        4.983363071197069,
        4.983382623209618,
        4.983401698343812,
        4.98342125035636,
        4.98344080236891,
        4.983459877503104,
        4.983479429515652,
        4.983498981528201,
        4.983518056662395,
        4.983537608674944,
        4.983557160687493,
        4.983576235821687,
        4.983595787834236,
        4.983615339846785,
        4.983634414980979,
        4.983653966993527,
        4.983673042127721,
        4.983692594140271,
        4.983712146152819,
        4.983731221287013,
        4.983750773299562,
        4.983770325312111,
        4.983789400446305,
        4.983808952458854,
        4.983828027593048,
        4.983847579605596,
        4.983867131618146,
        4.98388620675234,
        4.983905758764888,
        4.983924833899082,
        4.983944385911632,
        4.98396393792418,
        4.983983013058374,
        4.984002565070923,
        4.984021640205117,
        4.984041192217666,
        4.984060744230215,
        4.984079819364409,
        4.984099371376957,
        4.984118446511151,
        4.984137998523701,
        4.984157073657895,
        4.984176625670443,
        4.984195700804637,
        4.984215252817186,
        4.984234804829735,
        4.984253879963929,
        4.984273431976478,
        4.984292507110672,
        4.984312059123221,
        4.984331134257415,
        4.984350686269964,
        4.9843697614041576,
        4.984389313416706,
        4.9844083885509,
        4.9844279405634495,
        4.9844470156976435,
        4.984466567710192,
        4.984485642844386,
        4.9845051948569346,
        4.9845242699911285,
        4.984543822003678,
        4.984562897137872,
        4.9845824491504205,
        4.9846015242846144,
        4.984621076297163,
        4.984640151431358,
        4.984659703443906,
        4.9846787785781,
        4.984698330590649,
        4.984717405724843,
        4.984736480859037,
        4.984756032871586,
        4.98477510800578,
        4.984794660018329,
        4.984813735152523,
        4.984833287165071,
        4.984852362299265,
        4.984871914311815,
        4.984890989446009,
        4.984910064580203,
        4.984929616592751,
        4.984948691726945,
        4.984968243739495,
        4.984987318873689,
        4.985006870886237,
        4.985025946020431,
        4.985045021154625,
        4.985064573167174,
        4.985083648301368,
        4.985103200313917,
        4.985122275448111,
        4.985141350582305,
        4.985160902594854,
        4.9851799777290475,
        4.9851990528632415,
        4.985218604875791,
        4.985237680009985,
        4.9852572320225335,
        4.985276307156727,
        4.985295382290921,
        4.98531493430347,
        4.985334009437664,
        4.985353084571858,
        4.985372636584407,
        4.985391711718601,
        4.985410786852795,
        4.985430338865344,
        4.985449413999538,
        4.985468489133732,
        4.985488041146281,
        4.985507116280475,
        4.985526191414669,
        4.985545743427218,
        4.985564818561412,
        4.985583893695606,
        4.985603445708154,
        4.985622520842348,
        4.985641595976542,
        4.9856611479890915,
        4.9856802231232855,
        4.9856992982574795,
        4.9857183733916735,
        4.985737925404222,
        4.985757000538416,
        4.98577607567261,
        4.985795627685159,
        4.985814702819353,
        4.985833777953547,
        4.985852853087741,
        4.98587240510029,
        4.985891480234484,
        4.985910555368678,
        4.985929630502872,
        4.985949182515421,
        4.985968257649615,
        4.985987332783809,
        4.986006407918003,
        4.986025959930552,
        4.986045035064746,
        4.98606411019894,
        4.9860831853331335,
        4.986102737345682,
        4.986121812479876,
        4.98614088761407,
        4.986159962748265,
        4.986179037882459,
        4.986198589895007,
        4.986217665029201,
        4.986236740163395,
        4.986255815297589,
        4.986274890431783,
        4.986294442444332,
        4.986313517578526,
        4.986370742981109,
        4.9865052226771756,
        4.9865242978113695,
        4.9865433729455635,
        4.9865624480797575,
        4.986581523213952,
        4.986600598348146,
        4.986620150360695,
        4.986639225494889,
        4.986658300629083,
        4.986677375763277,
        4.986696450897471,
        4.986715526031665,
        4.986734601165859,
        4.986753676300053,
        4.986773228312601,
        4.986792303446796,
        4.98681137858099,
        4.986830453715184,
        4.986849528849378,
        4.986868603983572,
        4.986887679117766,
        4.98690675425196,
        4.986925829386154,
        4.986944904520348,
        4.986963979654542,
        4.98698353166709,
        4.987002606801284,
        4.987021681935478,
        4.987040757069672,
        4.987059832203866,
        4.98707890733806,
        4.987097982472254,
        4.987117057606448,
        4.987136132740642,
        4.987155207874837,
        4.987174283009031,
        4.987193358143225,
        4.987212433277419,
        4.987231508411613,
        4.987250583545807,
        4.987269658680001,
        4.987288733814195,
        4.987307808948389,
        4.987326884082583,
        4.987345959216777,
        4.987365034350971,
        4.9873841094851645,
        4.9874031846193585,
        4.9874222597535525,
        4.987441334887746,
        4.98746041002194,
        4.987479485156134,
        4.987498560290328,
        4.987517635424522,
        4.987536710558716,
        4.98755578569291,
        4.987574860827104,
        4.987593935961298,
        4.987613011095492,
        4.987632086229686,
        4.98765116136388,
        4.987670236498075,
        4.987689311632269,
        4.987708386766463,
        4.987727461900657,
        4.987746537034851,
        4.987765612169045,
        4.987784687303239,
        4.987803762437433,
        4.987822837571627,
        4.987841912705821,
        4.987860987840015,
        4.987880062974209,
        4.987899138108403,
        4.987917736364242,
        4.987936811498436,
        4.98795588663263,
        4.987974961766824,
        4.987994036901018,
        4.988013112035212,
        4.988032187169406,
        4.9880512623036,
        4.988070337437794,
        4.988089412571988,
        4.988108010827827,
        4.988127085962021,
        4.988146161096215,
        4.988165236230409,
        4.988184311364603,
        4.988203386498797,
        4.988222461632991,
        4.988241536767185,
        4.988260135023024,
        4.988279210157218,
        4.988298285291412,
        4.988317360425606,
        4.9883364355598,
        4.988355510693994,
        4.988374585828188,
        4.988393184084027,
        4.988412259218221,
        4.988431334352415,
        4.988450409486609,
        4.988469484620803,
        4.988488559754997,
        4.988507158010837,
        4.988526233145031,
        4.988545308279225,
        4.988564383413419,
        4.9885834585476125,
        4.988602056803451,
        4.988621131937646,
        4.98864020707184,
        4.988659282206034,
        4.988678357340228,
        4.988696955596066,
        4.98871603073026,
        4.988735105864454,
        4.988754180998648,
        4.988773256132843,
        4.988791854388682,
        4.9888109295228755,
        4.9888300046570695,
        4.9888490797912635,
        4.988867678047103,
        4.988886753181297,
        4.988905828315491,
        4.988924903449685,
        4.988943501705524,
        4.988962576839718,
        4.988981651973912,
        4.989000727108106,
        4.989019325363945,
        4.989038400498139,
        4.989057475632333,
        4.989076550766527,
        4.989095149022367,
        4.989114224156561,
        4.989133299290755,
        4.989151897546593,
        4.989170972680787,
        4.989190047814981,
        4.989209122949176,
        4.9892277212050145,
        4.989246796339208,
        4.989265871473402,
        4.989284469729242,
        4.989303544863436,
        4.98932261999763,
        4.989341218253469,
        4.989360293387663,
        4.989379368521857,
        4.989397966777696,
        4.98941704191189,
        4.989436117046084,
        4.989454715301924,
        4.989473790436118,
        4.989492865570312,
        4.98951146382615,
        4.989530538960344,
        4.989549614094538,
        4.9895682123503775,
        4.9895872874845715,
        4.9896063626187654,
        4.989624960874605,
        4.989644036008799,
        4.989662634264638,
        4.989681709398832,
        4.989700784533026,
        4.9897193827888655,
        4.9897384579230595,
        4.9897575330572534,
        4.989776131313092,
        4.989795206447286,
        4.989813804703125,
        4.989832879837319,
        4.989851954971513,
        4.989870553227353,
        4.989889628361547,
        4.989908226617386,
        4.98992730175158,
        4.989946376885774,
        4.989964975141612,
        4.989984050275807,
        4.990002648531646,
        4.99002172366584,
        4.990040321921679,
        4.990059397055873,
        4.9900779953117125,
        4.9900970704459064,
        4.9901161455801,
        4.99013474383594,
        4.990153818970134,
        4.990172417225972,
        4.990191492360166,
        4.990210090616006,
        4.9902291657502,
        4.990247764006039,
        4.990266839140233,
        4.990285437396072,
        4.990304512530266,
        4.990323110786105,
        4.990342185920299,
        4.990360784176138,
        4.990379859310332,
        4.9903984575661715,
        4.9904175327003655,
        4.990436130956205,
        4.990455206090399,
        4.990473804346238,
        4.990492879480432,
        4.990511477736271,
        4.990530552870465,
        4.990549151126304,
        4.990568226260498,
        4.990586824516337,
        4.990605899650531,
        4.990624497906371,
        4.990643573040565,
        4.990662171296403,
        4.990681246430597,
        4.990699844686437,
        4.9907189198206305,
        4.99073751807647,
        4.990756116332309,
        4.990775191466503,
        4.990793789722342,
        4.990812864856536,
        4.990831463112375,
        4.990850538246569,
        4.9908691365024085,
        4.990887734758248,
        4.990906809892442,
        4.990925408148281,
        4.990944483282475,
        4.990963081538314,
        4.990982156672508,
        4.991000754928347,
        4.991019353184186,
        4.99103842831838,
        4.99105702657422,
        4.991076101708414,
        4.991094699964252,
        4.991113298220092,
        4.991132373354286,
        4.991150971610125,
        4.991169569865964,
        4.991188645000158,
        4.991207243255997,
        4.991226318390191,
        4.99124491664603,
        4.994271186685909,
        4.99786112694122,
        4.9978835402238975,
        4.997905476628221,
        4.9979278899108985,
        4.997950303193576,
        4.997972716476254,
        4.997994652880577,
        4.998017066163255,
        4.998039479445933,
        4.998061892728612,
        4.998083829132934,
        4.998106242415613,
        4.998128655698291,
        4.9981510689809685,
        4.998173005385292,
        4.99819541866797,
        4.998217831950647,
        4.998240245233325,
        4.9982621816376485,
        4.998284594920326,
        4.998307008203004,
        4.998328944607327,
        4.998351357890005,
        4.998373771172683,
        4.998396184455362,
        4.998418120859684,
        4.998440534142363,
        4.998462947425041,
        4.998484883829364,
        4.998507297112042,
        4.9985297103947195,
        4.998551646799043,
        4.998574060081721,
        4.998596473364398,
        4.998618409768722,
        4.9986408230513995,
        4.998663236334077,
        4.9986851727384005,
        4.998707586021078,
        4.998729999303756,
        4.998751935708079,
        4.998774348990757,
        4.998796762273435,
        4.998818698677758,
        4.998841111960436,
        4.998863525243114,
        4.998885461647437,
        4.998907874930115,
        4.998929811334438,
        4.998952224617116,
        4.998974637899795,
        4.998996574304117,
        4.999018987586796,
        4.999040923991118,
        4.999063337273797,
        4.999085750556475,
        4.999107686960798,
        4.999130100243476,
        4.999152036647798,
        4.999174449930477,
        4.999196386334799,
        4.999218799617478,
        4.999241212900156,
        4.999263149304479,
        4.999285562587157,
        4.99930749899148,
        4.999329912274158,
        4.999351848678481,
        4.999374261961159,
        4.999396198365482,
        4.99941861164816,
        4.999440548052483,
        4.999462961335161,
        4.999485374617839,
        4.999507311022162,
        4.99952972430484,
        4.999551660709163,
        4.999574073991841,
        4.999596010396164,
        4.999618423678842,
        4.999640360083165,
        4.999662773365843,
        4.999684709770166,
        4.999707123052844,
        4.9997290594571675,
        4.999751472739845,
        4.999773409144169,
        4.999795345548491,
        4.99981775883117,
        4.999839695235492,
        4.999862108518171,
        4.999884044922493,
        4.999906458205172,
        4.999928394609494,
        4.999950807892173,
        4.999972744296495,
        4.999995157579173,
        5.000017093983496,
        5.0000390303878195,
        5.000061443670497,
        5.000083380074821,
        5.000105793357498,
        5.000127729761822,
        5.0001501430444995,
        5.000172079448823,
        5.000194015853146,
        5.000216429135824,
        5.000238365540147,
        5.000260778822825,
        5.000282715227148,
        5.000304651631471,
        5.000327064914149,
        5.000349001318472,
        5.000370937722796,
        5.000393351005473,
        5.000415287409797,
        5.0004377006924745,
        5.000459637096798,
        5.00048157350112,
        5.000503986783799,
        5.000525923188121,
        5.000547859592444,
        5.000570272875122,
        5.0005922092794455,
        5.000614145683769,
        5.0006365589664465,
        5.00065849537077,
        5.000680431775093,
        5.000702845057771,
        5.000724781462094,
        5.000746717866417,
        5.000769131149095,
        5.000791067553418,
        5.000813003957742,
        5.000834940362064,
        5.000857353644743,
        5.000879290049065,
        5.000901226453388,
        5.000923639736066,
        5.000945576140389,
        5.000967512544713,
        5.000989448949036,
        5.001011862231714,
        5.001033798636037,
        5.00105573504036,
        5.001078148323038,
        5.001100084727361,
        5.0011220211316845,
        5.001143957536007,
        5.0011663708186855,
        5.001188307223008,
        5.001210243627331,
        5.001232180031654,
        5.001254116435978,
        5.001276529718655,
        5.001298466122979,
        5.001320402527302,
        5.001342338931625,
        5.001364752214303,
        5.001386688618626,
        5.001408625022949,
        5.001430561427272,
        5.001452497831595,
        5.001474911114273,
        5.001496847518596,
        5.001518783922919,
        5.001540720327243,
        5.001562656731566,
        5.001584593135888,
        5.001607006418567,
        5.001628942822889,
        5.0016508792272125,
        5.001672815631536,
        5.00173910172286,
        5.001761038127183,
        5.0017829745315066,
        5.001804910935829,
        5.001826847340152,
        5.001848783744475,
        5.001870720148799,
        5.0018931334314765,
        5.0019150698358,
        5.001937006240123,
        5.001958942644446,
        5.0019808790487685,
        5.002002815453092,
        5.002024751857415,
        5.002046688261738,
        5.002112974353063,
        5.002134910757386,
        5.002156847161709,
        5.002691666236673,
        5.004018103380688,
        5.004149244928272,
        5.00417070445424,
        5.004192640858563,
        5.0042145772628865,
        5.0042579731931776,
        5.004279909597501,
        5.004323782406147,
        5.004345241932115,
        5.004367178336438,
        5.0043891147407615,
        5.00441057426673,
        5.0044325106710525,
        5.004454447075376,
        5.0044759066013444,
        5.004519779409991,
        5.004541238935959,
        5.004563175340282,
        5.004585111744605,
        5.004607048148928,
        5.004628507674896,
        5.004650444079219,
        5.004672380483543,
        5.0046938400095105,
        5.004715776413834,
        5.004737235939802,
        5.004759172344126,
        5.004781108748448,
        5.004802568274417,
        5.00482450467874,
        5.004846441083063,
        5.004867900609031,
        5.004889837013354,
        5.004911773417677,
        5.004933232943645,
        5.004955169347968,
        5.004976628873937,
        5.00499856527826,
        5.005020501682583,
        5.005041961208551,
        5.0050638976128745,
        5.005085357138842,
        5.0051072935431655,
        5.005129229947489,
        5.005150689473457,
        5.00517262587778,
        5.005194085403748,
        5.005216021808072,
        5.0052374813340395,
        5.005259417738363,
        5.005281354142686,
        5.005302813668655,
        5.005324750072977,
        5.005346209598946,
        5.005368146003269,
        5.005389605529237,
        5.00541154193356,
        5.0054330014595285,
        5.005454937863852,
        5.0054763973898195,
        5.005498333794143,
        5.005519793320111,
        5.005541729724434,
        5.0055631892504024,
        5.005585125654726,
        5.0056065851806935,
        5.005628521585017,
        5.005649981110985,
        5.005671917515309,
        5.005693377041276,
        5.0057153134456,
        5.005736772971567,
        5.005758709375891,
        5.005780168901859,
        5.0058021053061825,
        5.00582356483215,
        5.0058455012364735,
        5.005866960762442,
        5.0058888971667646,
        5.005910356692733,
        5.0059322930970565,
        5.005953752623024,
        5.0059756890273475,
        5.005997148553316,
        5.006018608079284,
        5.006040544483607,
        5.006062004009576,
        5.006083940413898,
        5.006105399939867,
        5.00612733634419,
        5.006148795870158,
        5.0061702553961265,
        5.00619219180045,
        5.0062136513264175,
        5.006235587730741,
        5.006257047256709,
        5.006278506782677,
        5.006300443187,
        5.006321902712969,
        5.006343362238937,
        5.00636529864326,
        5.006386758169229,
        5.006408694573551,
        5.00643015409952,
        5.0064516136254875,
        5.006473550029811,
        5.006495009555779,
        5.006516469081747,
        5.00653840548607,
        5.006559865012039,
        5.006581324538007,
        5.00660326094233,
        5.006624720468299,
        5.0066461799942665,
        5.00666811639859,
        5.006689575924558,
        5.006711035450526,
        5.0067329718548494,
        5.006754431380818,
        5.006775890906786,
        5.006797827311109,
        5.006819286837077,
        5.0068407463630455,
        5.006862682767369,
        5.006884142293337,
        5.006905601819305,
        5.006927061345274,
        5.006948997749596,
        5.006970457275565,
        5.006991916801533,
        5.007013853205856,
        5.007035312731825,
        5.007056772257792,
        5.007078231783761,
        5.007100168188084,
        5.007121627714052,
        5.007143087240021,
        5.007164546765988,
        5.007186483170312,
        5.00720794269628,
        5.007229402222248,
        5.007250861748217,
        5.00727279815254,
        5.007294257678508,
        5.007315717204476,
        5.007337176730444,
        5.007358636256413,
        5.007380572660736,
        5.007402032186704,
        5.0074234917126725,
        5.00744495123864,
        5.007466410764609,
        5.007488347168932,
        5.0075098066949,
        5.007531266220869,
        5.007552725746836,
        5.007574185272805,
        5.007595644798773,
        5.007617581203096,
        5.007639040729065,
        5.0076605002550325,
        5.007681959781001,
        5.007703419306969,
        5.007724878832938,
        5.007746815237261,
        5.007768274763229,
        5.007789734289197,
        5.007811193815165,
        5.007832653341134,
        5.0078541128671015,
        5.00787557239307,
        5.007897508797393,
        5.007918968323361,
        5.00794042784933,
        5.007961887375298,
        5.007983346901266,
        5.008004806427235,
        5.008026265953203,
        5.008047725479171,
        5.008069185005139,
        5.008090644531108,
        5.008112580935431,
        5.008134040461399,
        5.008155499987367,
        5.008176959513335,
        5.008198419039304,
        5.008219878565272,
        5.00824133809124,
        5.008262797617208,
        5.008284257143177,
        5.0083057166691445,
        5.008327176195113,
        5.008348635721082,
        5.00837009524705,
        5.008391554773018,
        5.008413014298986,
        5.008434473824955,
        5.008455933350922,
        5.008477392876891,
        5.008498852402859,
        5.008520788807182,
        5.008542248333151,
        5.0085637078591185,
        5.008585167385087,
        5.008606626911055,
        5.008628086437024,
        5.008649545962991,
        5.00867100548896,
        5.008692465014928,
        5.0087139245408965,
        5.00873490718851,
        5.008756366714478,
        5.008777826240446,
        5.008799285766415,
        5.0088207452923825,
        5.008842204818351,
        5.008863664344319,
        5.008885123870288,
        5.008906583396256,
        5.008928042922224,
        5.008949502448193,
        5.0089709619741605,
        5.008992421500129,
        5.009013881026097,
        5.009035340552066,
        5.009056800078033,
        5.009078259604002,
        5.00909971912997,
        5.009121178655938,
        5.009142161303552,
        5.00916362082952,
        5.009185080355488,
        5.009206539881457,
        5.0092279994074245,
        5.009249458933393,
        5.009270918459361,
        5.00929237798533,
        5.009313837511298,
        5.009335297037266,
        5.009356279684879,
        5.009377739210848,
        5.009399198736816,
        5.009420658262784,
        5.009442117788752,
        5.009463577314721,
        5.009485036840689,
        5.0095060194883025,
        5.00952747901427,
        5.009548938540239,
        5.009570398066207,
        5.009591857592175,
        5.009613317118144,
        5.009634776644112,
        5.009655759291725,
        5.009677218817694,
        5.0096986783436614,
        5.00972013786963,
        5.009741597395598,
        5.009762580043212,
        5.00978403956918,
        5.009805499095148,
        5.009826958621116,
        5.009848418147085,
        5.009869400794698,
        5.009890860320667,
        5.009912319846634,
        5.009933779372603,
        5.009955238898571,
        5.009976221546185,
        5.009997681072153,
        5.010019140598121,
        5.010040600124089,
        5.010061582771702,
        5.010083042297671,
        5.010104501823639,
        5.010125961349607,
        5.010146943997221,
        5.010168403523189,
        5.010189863049157,
        5.010211322575126,
        5.010232305222739,
        5.0102537647487075,
        5.010275224274675,
        5.010296683800644,
        5.010317666448257,
        5.010339125974226,
        5.010360585500194,
        5.010381568147807,
        5.010403027673775,
        5.010424487199743,
        5.010445469847357,
        5.010466929373325,
        5.010488388899294,
        5.0105098484252615,
        5.010530831072875,
        5.010552290598843,
        5.010573750124812,
        5.010594732772425,
        5.010616192298393,
        5.010637651824362,
        5.010658634471975,
        5.0106800939979435,
        5.010701553523911,
        5.010722536171524,
        5.010743995697493,
        5.010764978345106,
        5.010786437871075,
        5.010807897397043,
        5.010828880044657,
        5.0108503395706245,
        5.010871799096593,
        5.010892781744206,
        5.010914241270174,
        5.010935223917788,
        5.010956683443756,
        5.010978142969725,
        5.010999125617338,
        5.0110205851433065,
        5.011042044669274,
        5.0110630273168875,
        5.011084486842856,
        5.011105469490469,
        5.011126929016438,
        5.011147911664051,
        5.011169371190019,
        5.011190830715988,
        5.011211813363601,
        5.011233272889569,
        5.011254255537183,
        5.01127571506315,
        5.0112966977107645,
        5.011318157236732,
        5.011339139884346,
        5.011360599410314,
        5.011382058936283,
        5.011403041583896,
        5.011424501109864,
        5.011445483757478,
        5.0114669432834456,
        5.011487925931059,
        5.011509385457027,
        5.011530368104641,
        5.011551827630609,
        5.011572810278222,
        5.01159426980419,
        5.011615252451804,
        5.011636711977772,
        5.011657694625386,
        5.011679154151354,
        5.011700136798967,
        5.011721596324936,
        5.011742578972549,
        5.011764038498518,
        5.011785021146131,
        5.0118064806720986,
        5.011827463319713,
        5.01184892284568,
        5.011869905493294,
        5.011890888140908,
        5.011912347666875,
        5.011933330314489,
        5.011954789840457,
        5.0119757724880705,
        5.011997232014039,
        5.012018214661652,
        5.012039674187621,
        5.012060656835234,
        5.012081639482847,
        5.012103099008816,
        5.012124081656429,
        5.012145541182397,
        5.012166523830011,
        5.012187506477624,
        5.012208966003592,
        5.012229948651206,
        5.012251408177174,
        5.012272390824787,
        5.012293373472401,
        5.012314832998369,
        5.012335815645982,
        5.012357275171951,
        5.012378257819564,
        5.012399240467177,
        5.012420699993146,
        5.012441682640759,
        5.012462665288372,
        5.012484124814341,
        5.012505107461954,
        5.012526090109567,
        5.012547549635536,
        5.012568532283149,
        5.012589514930762,
        5.012610974456731,
        5.012631957104344,
        5.012652939751958,
        5.012674399277926,
        5.012695381925539,
        5.012716364573153,
        5.012737824099121,
        5.012758806746734,
        5.012779789394348,
        5.012801248920316,
        5.012822231567929,
        5.012843214215543,
        5.012864196863156,
        5.012885656389124,
        5.012906639036738,
        5.0129276216843515,
        5.012949081210319,
        5.012970063857933,
        5.0129910465055465,
        5.01301202915316,
        5.013033488679128,
        5.0130544713267415,
        5.013075453974355,
        5.013096436621968,
        5.013117896147937,
        5.01313887879555,
        5.013159861443163,
        5.013180844090777,
        5.013202303616745,
        5.013223286264358,
        5.013244268911972,
        5.013265251559585,
        5.013286711085553,
        5.013307693733167,
        5.01332867638078,
        5.0133496590283935,
        5.013370641676007,
        5.013392101201975,
        5.0134130838495885,
        5.013434066497202,
        5.013455049144816,
        5.013476031792429,
        5.013497491318397,
        5.013518473966011,
        5.013539456613624,
        5.013560439261237,
        5.01358142190885,
        5.013602404556464,
        5.013623864082432,
        5.013644846730045,
        5.0136658293776595,
        5.013686812025273,
        5.013707794672886,
        5.013728777320499,
        5.013749759968113,
        5.013771219494081,
        5.013792202141694,
        5.013813184789308,
        5.013834167436921,
        5.0138551500845345,
        5.013876132732148,
        5.013897115379762,
        5.013918098027375,
        5.013939557553343,
        5.013960540200957,
        5.01398152284857,
        5.014002505496183,
        5.014023488143796,
        5.0140444707914105,
        5.014065453439024,
        5.014086436086637,
        5.01410741873425,
        5.014128401381864,
        5.014149384029477,
        5.014170843555445,
        5.014191826203059,
        5.014212808850672,
        5.0142337914982855,
        5.014254774145899,
        5.014275756793513,
        5.014296739441126,
        5.014317722088739,
        5.014338704736352,
        5.0143596873839655,
        5.01438067003158,
        5.014401652679193,
        5.014422635326806,
        5.014443617974419,
        5.014464600622033,
        5.014485583269646,
        5.01450656591726,
        5.014527548564873,
        5.014548531212487,
        5.0145695138601,
        5.014590496507713,
        5.0146114791553265,
        5.0146324618029405,
        5.014653444450554,
        5.014674427098167,
        5.01469540974578,
        5.014716392393394,
        5.014737375041007,
        5.0147583576886205,
        5.014779340336234,
        5.014800322983848,
        5.014821305631461,
        5.014842288279074,
        5.014863270926687,
        5.014884253574301,
        5.014905236221915,
        5.014926218869528,
        5.014947201517141,
        5.014968184164754,
        5.014989166812368,
        5.015009672581627,
        5.01503065522924,
        5.015051637876853,
        5.0150726205244665,
        5.0150936031720805,
        5.015114585819694,
        5.015135568467307,
        5.01515655111492,
        5.015177533762534,
        5.015198516410147,
        5.0152194990577605,
        5.015240004827019,
        5.015260987474632,
        5.0152819701222455,
        5.01530295276986,
        5.015323935417473,
        5.015344918065086,
        5.015365900712699,
        5.015386883360313,
        5.015407389129572,
        5.015428371777185,
        5.015449354424798,
        5.015470337072411,
        5.0154913197200255,
        5.015512302367639,
        5.015533285015252,
        5.0155537907845105,
        5.015574773432124,
        5.015595756079737,
        5.015616738727351,
        5.015637721374964,
        5.015658704022577,
        5.015679209791836,
        5.015700192439449,
        5.015721175087063,
        5.015742157734676,
        5.0157631403822895,
        5.015783646151548,
        5.015804628799161,
        5.0158256114467745,
        5.015846594094389,
        5.01588808251126,
        5.015909065158874,
        5.015930047806487,
        5.015951030454101,
        5.0159715362233595,
        5.015992518870973,
        5.016013501518586,
        5.016034484166199,
        5.016054989935458,
        5.016075972583071,
        5.016096955230685,
        5.016117937878298,
        5.016138443647557,
        5.01615942629517,
        5.016180408942783,
        5.016201391590397,
        5.016221897359656,
        5.016242880007269,
        5.016263862654882,
        5.016326333719367,
        5.019475876813974,
        5.023417991734342,
        5.023438497503601,
        5.023560101484088,
        5.023641170804412,
        5.023721763246382,
        5.02374226901564,
        5.0237622979065435,
        5.023782803675802,
        5.023802832566706,
        5.023823338335965,
        5.0238839018870305,
        5.0239039307779345,
        5.023944465438096,
        5.023964971207355,
        5.023985000098259,
        5.0240255347584215,
        5.024126632969649,
        5.024187196520716,
        5.024207225411619,
        5.024227731180877,
        5.02426826584104,
        5.024288294731943,
        5.024308323622847,
        5.024328829392106,
        5.02434885828301,
        5.024409421834076,
        5.024429450724979,
        5.024449956494237,
        5.024469985385141,
        5.024490014276045,
        5.024550577827111,
        5.024591112487273,
        5.024611141378177,
        5.024671704929243,
        5.024691733820147,
        5.024712239589405,
        5.024732268480309,
        5.024752297371212,
        5.024772803140471,
        5.024792832031375,
        5.024812860922278,
        5.024832889813182,
        5.024893453364248,
        5.024913482255152,
        5.024933988024411,
        5.024954016915314,
        5.024974045806218,
        5.024994074697122,
        5.02501458046638,
        5.0250346093572835,
        5.0250546382481875,
        5.025074667139092,
        5.025115201799253,
        5.025135230690157,
        5.0251552595810605,
        5.0251752884719645,
        5.025215823132127,
        5.02523585202303,
        5.025275909804838,
        5.025296415574097,
        5.025316444465,
        5.025336473355904,
        5.025356502246807,
        5.02539703690697,
        5.025437094688777,
        5.025457123579681,
        5.025477152470585,
        5.025517210252392,
        5.025537716021651,
        5.025557744912554,
        5.025577773803458,
        5.025597802694362,
        5.025617831585265,
        5.025637860476169,
        5.025657889367073,
        5.025678395136332,
        5.025698424027235,
        5.025718452918139,
        5.025738481809042,
        5.025758510699946,
        5.02577853959085,
        5.025798568481753,
        5.025818597372657,
        5.025838626263561,
        5.02585913203282,
        5.025879160923723,
        5.025899189814627,
        5.025919218705531,
        5.025939247596434,
        5.025959276487338,
        5.025979305378241,
        5.025999334269145,
        5.026019363160049,
        5.0260393920509525,
        5.0260594209418565,
        5.026079449832761,
        5.026099478723664,
        5.026119507614568,
        5.026140013383826,
        5.0261600422747295,
        5.0261800711656335,
        5.0262001000565375,
        5.026220128947441,
        5.026240157838345,
        5.026260186729249,
        5.026280215620152,
        5.026300244511056,
        5.02632027340196,
        5.026340302292863,
        5.026360331183767,
        5.02638036007467,
        5.026400388965574,
        5.026420417856478,
        5.026460475638285,
        5.026480504529189,
        5.0265005334200925,
        5.0265205623109965,
        5.0265405912019006,
        5.026560620092804,
        5.026580648983708,
        5.026600677874611,
        5.026620706765515,
        5.026660764547322,
        5.026680793438226,
        5.026700345450775,
        5.026720374341679,
        5.026740403232583,
        5.026760432123486,
        5.02678046101439,
        5.026800489905294,
        5.026820518796197,
        5.026840547687101,
        5.026860576578004,
        5.026960721032523,
        5.026980273045072,
        5.027000301935976,
        5.027020330826879,
        5.027040359717783,
        5.027060388608687,
        5.02708041749959,
        5.027100446390494,
        5.027120475281397,
        5.027140504172301,
        5.02716005618485,
        5.027180085075754,
        5.027200113966658,
        5.027220142857561,
        5.027240171748465,
        5.027260200639369,
        5.027280229530272,
        5.027299781542822,
        5.027319810433725,
        5.027339839324629,
        5.027359868215533,
        5.027379897106436,
        5.02739992599734,
        5.027419478009889,
        5.027439506900793,
        5.027459535791696,
        5.0274795646826,
        5.027499593573504,
        5.027519622464407,
        5.027539174476956,
        5.0275592033678596,
        5.027579232258764,
        5.027619290040571,
        5.02763884205312,
        5.027658870944023,
        5.0276989287258305,
        5.0277189576167345,
        5.029109534899478,
        5.031298406548239,
        5.031416195501887,
        5.031435747514435,
        5.031474851539533,
        5.031494403552082,
        5.031513955564631,
        5.031631744518279,
        5.0316512965308275,
        5.03169087743428,
        5.03171042944683,
        5.031827741522123,
        5.031905949572318,
        5.031965082488319,
        5.031984634500868,
        5.032023738525965,
        5.032043290538515,
        5.032551642864785,
        5.032571194877334,
        5.032590746889882,
        5.032629374036626,
        5.032648926049174,
        5.032727134099369,
        5.032746686111919,
        5.032766238124467,
        5.032785790137016,
        5.032824894162114,
        5.032844446174662,
        5.032883073321406,
        5.032902625333954,
        5.032941729359052,
        5.032961281371601,
        5.0329808333841495,
        5.033000385396699,
        5.0330199374092475,
        5.033039012543441,
        5.03305856455599,
        5.033078116568539,
        5.033097668581088,
        5.0331172205936365,
        5.033136772606186,
        5.0331563246187345,
        5.0331753997529285,
        5.033194951765477,
        5.0332145037780265,
        5.033234055790575,
        5.033253607803124,
        5.033273159815673,
        5.033292234949867,
        5.0333117869624155,
        5.033331338974965,
        5.0333508909875135,
        5.033370443000062,
        5.0333899950126115,
        5.0334090701468055,
        5.033428622159354,
        5.033448174171903,
        5.033467726184452,
        5.033487278197001,
        5.033506353331195,
        5.033525905343743,
        5.0335454573562926,
        5.033565009368841,
        5.033584084503035,
        5.033603636515584,
        5.033623188528133,
        5.033642740540682,
        5.03366229255323,
        5.033681367687424,
        5.033700919699974,
        5.033720471712522,
        5.033740023725071,
        5.033759098859265,
        5.033778650871814,
        5.033798202884363,
        5.033817754896911,
        5.033836830031105,
        5.033856382043655,
        5.033875934056203,
        5.033895009190397,
        5.033914561202947,
        5.033934113215495,
        5.033953665228044,
        5.033972740362238,
        5.033992292374787,
        5.034011844387336,
        5.03403091952153,
        5.034050471534078,
        5.034070023546628,
        5.034089575559176,
        5.03410865069337,
        5.034128202705919,
        5.034147754718468,
        5.034166829852662,
        5.034186381865211,
        5.034205933877759,
        5.034225009011953,
        5.034244561024503,
        5.034264113037051,
        5.034283188171245,
        5.034302740183794,
        5.034322292196343,
        5.034341367330537,
        5.034360919343086,
        5.03437999447728,
        5.034399546489829,
        5.034419098502378,
        5.0344381736365715,
        5.03445772564912,
        5.0344772776616695,
        5.0344963527958635,
        5.034515904808412,
        5.034535456820961,
        5.034554531955155,
        5.034574083967704,
        5.034593159101898,
        5.0346127111144465,
        5.034632263126995,
        5.034651338261189,
        5.0346708902737385,
        5.0346899654079325,
        5.034709517420481,
        5.034728592554675,
        5.034748144567224,
        5.034767696579773,
        5.034786771713967,
        5.0348063237265155,
        5.0348253988607095,
        5.034844950873259,
        5.034864026007453,
        5.034883578020001,
        5.03490313003255,
        5.034922205166744,
        5.034941757179293,
        5.034960832313487,
        5.034980384326036,
        5.03499945946023,
        5.035019011472778,
        5.035038086606972,
        5.035057638619522,
        5.035076713753716,
        5.035096265766264,
        5.035115340900458,
        5.035134892913008,
        5.035153968047202,
        5.03517352005975,
        5.035192595193944,
        5.035212147206493,
        5.035231222340687,
        5.035250774353236,
        5.03526984948743,
        5.035289401499979,
        5.035308476634173,
        5.035328028646721,
        5.035347103780915,
        5.035366655793465,
        5.035385730927659,
        5.035405282940207,
        5.035424358074401,
        5.035443910086951,
        5.0354629852211445,
        5.035482537233693,
        5.035501612367887,
        5.035520687502081,
        5.03554023951463,
        5.035559314648824,
        5.035578866661373,
        5.035597941795567,
        5.0356174938081155,
        5.035694271223247,
        5.035713823235795,
        5.035752450382538,
        5.035771525516732,
        5.035790600650926,
        5.035810152663475,
        5.035829227797669,
        5.035848779810218,
        5.035867854944412,
        5.035886930078606,
        5.035906482091154,
        5.035925557225348,
        5.035944632359543,
        5.035964184372092,
        5.035983259506286,
        5.036002811518834,
        5.036021886653028,
        5.036040961787222,
        5.036060513799772,
        5.036079588933966,
        5.0360986640681595,
        5.036118216080708,
        5.036137291214902,
        5.036156366349096,
        5.036175918361645,
        5.0361949934958385,
        5.036214068630033,
        5.036233620642582,
        5.036252695776776,
        5.03627177091097,
        5.036291322923518,
        5.036310398057712,
        5.036329473191906,
        5.036349025204456,
        5.03636810033865,
        5.036387175472844,
        5.036406250607038,
        5.036425802619586,
        5.03644487775378,
        5.036463952887974,
        5.036483504900524,
        5.036502580034718,
        5.036521655168912,
        5.036540730303106,
        5.036560282315654,
        5.036579357449848,
        5.036598432584042,
        5.036617507718236,
        5.036637059730785,
        5.0366561348649785,
        5.0366752099991725,
        5.036694285133367,
        5.036713837145916,
        5.03673291228011,
        5.036751987414304,
        5.036771062548498,
        5.036790614561046,
        5.03680968969524,
        5.036828764829434,
        5.036847839963628,
        5.036866915097822,
        5.036886467110372,
        5.036905542244566,
        5.03692461737876,
        5.036943692512954,
        5.036963244525502,
        5.036982319659696,
        5.03700139479389,
        5.037020469928084,
        5.037039545062278,
        5.037058620196472,
        5.037078172209021,
        5.037097247343215,
        5.037116322477409,
        5.037135397611603,
        5.037154472745797,
        5.037173547879991,
        5.03719309989254,
        5.037212175026734,
        5.037231250160928,
        5.037250325295122,
        5.037269400429316,
        5.03728847556351,
        5.037308027576059,
        5.037327102710253,
        5.037346177844447,
        5.037365252978641,
        5.037384328112835,
        5.037403403247029,
        5.037422478381223,
        5.037441553515417,
        5.037461105527965,
        5.037480180662159,
        5.037499255796353,
        5.037518330930548,
        5.037537406064742,
        5.037556481198936,
        5.03757555633313,
        5.037594631467324,
        5.037613706601518,
        5.037632781735712,
        5.037651856869906,
        5.037671408882455,
        5.0376904840166485,
        5.0377095591508425,
        5.0377286342850365,
        5.0377477094192304,
        5.037766784553424,
        5.037785859687618,
        5.037804934821812,
        5.037824009956006,
        5.0378430850902,
        5.037862160224394,
        5.037881235358588,
        5.037900310492783,
        5.037919385626977,
        5.037938460761171,
        5.037957535895365,
        5.037976611029559,
        5.037995686163753,
        5.038014761297947,
        5.038033836432141,
        5.038052911566335,
        5.038071986700529,
        5.038091061834723,
        5.038110136968917,
        5.038129212103111,
        5.038148287237305,
        5.038167362371499,
        5.038186437505693,
        5.038205512639887,
        5.0382245877740806,
        5.0382436629082745,
        5.0382627380424685,
        5.0382818131766625,
        5.038300888310856,
        5.03831996344505,
        5.038339038579244,
        5.038358113713438,
        5.038377188847632,
        5.038396263981826,
        5.038415339116021,
        5.038434414250215,
        5.038453489384409,
        5.038472564518603,
        5.038491639652797,
        5.038510714786991,
        5.038529789921185,
        5.038548865055379,
        5.038567463311218,
        5.038586538445412,
        5.038605613579606,
        5.0386246887138,
        5.038643763847994,
        5.038662838982188,
        5.038681914116382,
        5.038700989250576,
        5.03872006438477,
        5.038739139518964,
        5.038757737774803,
        5.038776812908997,
        5.038795888043191,
        5.038814963177385,
        5.038834038311579,
        5.038853113445773,
        5.038872188579967,
        5.038891263714161,
        5.038910338848355,
        5.0389289371041945,
        5.0389480122383885,
        5.0389670873725825,
        5.0389861625067764,
        5.03900523764097,
        5.039024312775164,
        5.039042911031004,
        5.039061986165198,
        5.039081061299392,
        5.039100136433586,
        5.03911921156778,
        5.039138286701974,
        5.039156884957812,
        5.039175960092006,
        5.039195035226201,
        5.039214110360395,
        5.039233185494589,
        5.039251783750427,
        5.039289934018815,
        5.039309009153009,
        5.039346682543043,
        5.039365757677237,
        5.039384832811431,
        5.0394039079456245,
        5.0394229830798185,
        5.039441581335658,
        5.039460656469852,
        5.039479731604046,
        5.039517404994079,
        5.042680777560977,
        5.046678687248862,
        5.04670110053154,
        5.046723513814218,
        5.046745927096896,
        5.046768340379574,
        5.046791230540607,
        5.046813643823285,
        5.0468360571059625,
        5.04685847038864,
        5.046881360549674,
        5.0469037738323514,
        5.046926187115029,
        5.046948600397707,
        5.046971013680385,
        5.046993903841418,
        5.047016317124096,
        5.047038730406774,
        5.047061143689452,
        5.0470835569721295,
        5.047106447133163,
        5.047128860415841,
        5.0471512736985185,
        5.047173686981196,
        5.047196100263874,
        5.047218513546552,
        5.047241403707585,
        5.047263816990263,
        5.047286230272941,
        5.047308643555619,
        5.0473310568382965,
        5.047353470120974,
        5.047375883403653,
        5.0473987735646855,
        5.047421186847363,
        5.047443600130041,
        5.047466013412719,
        5.047488426695398,
        5.0475108399780755,
        5.047533253260753,
        5.047555666543431,
        5.047600969987142,
        5.04762338326982,
        5.047645796552498,
        5.047668209835176,
        5.0476906231178535,
        5.047713036400531,
        5.047735449683209,
        5.047757862965888,
        5.047780276248566,
        5.047802689531244,
        5.047825102813921,
        5.047847516096599,
        5.047869929379277,
        5.04789281954031,
        5.047915232822988,
        5.047937646105666,
        5.047960059388344,
        5.047982472671022,
        5.0480048859536994,
        5.048027299236378,
        5.048049712519056,
        5.048072125801734,
        5.048094539084412,
        5.0481169523670895,
        5.048139365649767,
        5.048161778932445,
        5.048184192215124,
        5.048206605497802,
        5.0482290187804795,
        5.048251432063157,
        5.048273845345835,
        5.048296258628513,
        5.048318671911191,
        5.0483410851938695,
        5.048363498476547,
        5.048385911759225,
        5.048408325041903,
        5.048430738324581,
        5.048453151607259,
        5.048475564889936,
        5.048497978172615,
        5.0485199145769375,
        5.048542327859616,
        5.048564741142294,
        5.048587154424972,
        5.04860956770765,
        5.0486319809903275,
        5.048654394273005,
        5.048676807555683,
        5.048699220838362,
        5.04872163412104,
        5.0487440474037175,
        5.048766460686395,
        5.048788873969073,
        5.048811287251751,
        5.048833223656074,
        5.048855636938752,
        5.04887805022143,
        5.048900463504109,
        5.048922876786786,
        5.049168469139534,
        5.049190882422212,
        5.04921329570489,
        5.049235708987568,
        5.0492581222702455,
        5.049302471957247,
        5.049324885239924,
        5.049347298522603,
        5.049369711805281,
        5.049392125087959,
        5.049414538370637,
        5.04943647477496,
        5.049458888057638,
        5.0494813013403155,
        5.049503714622993,
        5.049526127905671,
        5.049548064309994,
        5.049570477592672,
        5.049592890875351,
        5.049615304158029,
        5.049637240562352,
        5.04965965384503,
        5.049682067127708,
        5.049704480410385,
        5.049726416814709,
        5.0497488300973865,
        5.049771243380064,
        5.049793656662742,
        5.049815593067065,
        5.049838006349743,
        5.049860419632421,
        5.049882832915099,
        5.049904769319422,
        5.0499271826021,
        5.049949595884779,
        5.0499720091674565,
        5.04999394557178,
        5.0500163588544575,
        5.050038772137135,
        5.050060708541459,
        5.050083121824136,
        5.050105535106814,
        5.0501274715111375,
        5.050149884793815,
        5.050172298076493,
        5.050194234480816,
        5.050216647763494,
        5.050239061046172,
        5.050260997450495,
        5.050283410733173,
        5.050305824015851,
        5.050327760420174,
        5.050350173702852,
        5.050372586985531,
        5.050394523389853,
        5.050416936672531,
        5.05043934995521,
        5.050461286359532,
        5.050483699642211,
        5.0505061129248885,
        5.050528049329212,
        5.05055046261189,
        5.050572399016213,
        5.050594812298891,
        5.0506172255815684,
        5.050639161985892,
        5.0506615752685695,
        5.050683988551247,
        5.050705924955571,
        5.050728338238248,
        5.050750274642572,
        5.0507726879252495,
        5.050794624329573,
        5.0508170376122505,
        5.050839450894928,
        5.050861387299252,
        5.050883800581929,
        5.050905736986253,
        5.0509281502689305,
        5.050950086673254,
        5.050972499955932,
        5.050994913238609,
        5.051016849642933,
        5.0510392629256105,
        5.051061199329934,
        5.0510836126126115,
        5.051105549016935,
        5.051127962299613,
        5.051149898703936,
        5.051172311986614,
        5.051194248390937,
        5.051216661673615,
        5.051238598077938,
        5.051261011360616,
        5.051282947764939,
        5.051305361047617,
        5.05132729745194,
        5.051349710734618,
        5.051371647138941,
        5.051394060421619,
        5.051415996825942,
        5.05143841010862,
        5.051460346512943,
        5.051482759795621,
        5.051504696199944,
        5.051527109482622,
        5.051549045886945,
        5.051571459169623,
        5.0515933955739465,
        5.05161533197827,
        5.0516377452609476,
        5.051659681665271,
        5.051682094947949,
        5.051704031352272,
        5.05172644463495,
        5.051748381039273,
        5.051770794321951,
        5.051792730726274,
        5.051814667130596,
        5.051837080413275,
        5.051859016817597,
        5.051881430100276,
        5.0519033665045985,
        5.051925302908922,
        5.0519477161915995,
        5.051969652595923,
        5.051992065878601,
        5.052014002282924,
        5.052035938687247,
        5.052058351969925,
        5.052080288374248,
        5.052102224778571,
        5.052124638061249,
        5.0521465744655725,
        5.05216898774825,
        5.0521909241525735,
        5.052212860556897,
        5.052235273839575,
        5.052257210243898,
        5.052279146648221,
        5.052301559930899,
        5.052323496335222,
        5.0523454327395445,
        5.052367846022223,
        5.052389782426546,
        5.052411718830869,
        5.052434132113547,
        5.05245606851787,
        5.052478004922193,
        5.052499941326516,
        5.052522354609194,
        5.052544291013517,
        5.052566227417841,
        5.0525886407005185,
        5.052610577104842,
        5.052632513509165,
        5.052654926791843,
        5.052676863196165,
        5.052698799600488,
        5.052720736004812,
        5.0527431492874895,
        5.052765085691813,
        5.052787022096136,
        5.052808958500459,
        5.052831371783137,
        5.05285330818746,
        5.0528752445917835,
        5.052897180996107,
        5.052919594278785,
        5.052941530683108,
        5.05296346708743,
        5.052985403491753,
        5.053007816774431,
        5.0530297531787545,
        5.053051689583078,
        5.053073625987401,
        5.053095562391724,
        5.053117975674402,
        5.053139912078725,
        5.0531618484830485,
        5.053183784887371,
        5.053205721291694,
        5.053228134574372,
        5.053250070978695,
        5.053272007383018,
        5.053293943787342,
        5.053315880191665,
        5.053337816595988,
        5.053360229878666,
        5.053382166282989,
        5.0534041026873115,
        5.053426039091635,
        5.053447975495958,
        5.053469911900281,
        5.053492325182959,
        5.053514261587282,
        5.053536197991606,
        5.053558134395929,
        5.053580070800251,
        5.053602007204574,
        5.053623943608898,
        5.053645880013221,
        5.053668293295899,
        5.053690229700222,
        5.053712166104545,
        5.0537341025088685,
        5.053756038913191,
        5.053777975317514,
        5.053799911721837,
        5.0538218481261605,
        5.053843784530484,
        5.053865720934807,
        5.05388765733913,
        5.053910070621808,
        5.05393200702613,
        5.053953943430454,
        5.053975879834777,
        5.0539978162391,
        5.054019752643423,
        5.054041689047747,
        5.05406362545207,
        5.054085561856392,
        5.0541074982607155,
        5.054129434665039,
        5.054151371069362,
        5.054173307473685,
        5.0541952438780084,
        5.054217180282331,
        5.054239116686654,
        5.054261053090977,
        5.0542829894953005,
        5.054304925899624,
        5.054326862303947,
        5.054348798708269,
        5.054370735112593,
        5.054392671516916,
        5.054414607921239,
        5.054436544325562,
        5.054458480729886,
        5.054480417134209,
        5.054502353538531,
        5.054524289942854,
        5.054546226347178,
        5.054568162751501,
        5.054590099155824,
        5.054612035560147,
        5.05463397196447,
        5.054655908368793,
        5.054677844773116,
        5.0546997811774395,
        5.054721717581763,
        5.054743653986086,
        5.054765590390408,
        5.0547875267947315,
        5.054809463199055,
        5.054830922725023,
        5.054852859129347,
        5.054874795533669,
        5.054896731937992,
        5.0549186683423155,
        5.054940604746639,
        5.054962541150962,
        5.054984477555285,
        5.055006413959608,
        5.055028350363931,
        5.055050286768254,
        5.055071746294223,
        5.055093682698546,
        5.055115619102868,
        5.055137555507192,
        5.055159491911515,
        5.055181428315838,
        5.055203364720161,
        5.0552253011244845,
        5.055246760650452,
        5.0552686970547756,
        5.055290633459099,
        5.055312569863422,
        5.055334506267744,
        5.055356442672068,
        5.055377902198036,
        5.0553998386023595,
        5.055421775006683,
        5.055443711411005,
        5.055465647815328,
        5.055487584219652,
        5.05550904374562,
        5.055530980149943,
        5.055552916554266,
        5.055574852958589,
        5.055596789362912,
        5.055618248888881,
        5.055640185293203,
        5.055662121697527,
        5.05568405810185,
        5.055705994506173,
        5.055727454032141,
        5.055749390436464,
        5.055771326840787,
        5.055793263245111,
        5.055814722771078,
        5.055836659175402,
        5.055858595579725,
        5.055880531984048,
        5.055901991510017,
        5.055923927914339,
        5.055945864318662,
        5.055967800722986,
        5.055989260248954,
        5.056011196653277,
        5.0560331330576,
        5.056055069461923,
        5.056076528987892,
        5.056098465392215,
        5.056120401796537,
        5.056141861322506,
        5.056163797726829,
        5.0561857341311525,
        5.056207670535475,
        5.0562291300614435,
        5.056251066465767,
        5.05627300287009,
        5.056294462396058,
        5.056316398800381,
        5.056338335204704,
        5.056359794730672,
        5.056381731134995,
        5.0564036675393185,
        5.056425127065287,
        5.0564470634696095,
        5.056468999873933,
        5.056490459399901,
        5.056512395804225,
        5.056534332208548,
        5.056555791734516,
        5.056577728138839,
        5.056599664543162,
        5.05662112406913,
        5.056643060473453,
        5.056664519999422,
        5.056686456403745,
        5.056708392808067,
        5.056729852334036,
        5.056751788738359,
        5.056773248264327,
        5.05679518466865,
        5.0568171210729735,
        5.056838580598942,
        5.0568605170032646,
        5.056881976529233,
        5.0569039129335565,
        5.05692584933788,
        5.0569473088638475,
        5.056969245268171,
        5.056990704794139,
        5.057012641198462,
        5.05703410072443,
        5.057056037128754,
        5.057077973533077,
        5.057099433059045,
        5.057121369463368,
        5.0571428289893365,
        5.057164765393659,
        5.0571862249196275,
        5.057208161323951,
        5.057229620849919,
        5.057251557254242,
        5.0572730167802105,
        5.057294953184533,
        5.0573164127105015,
        5.057338349114825,
        5.0573598086407925,
        5.057381745045116,
        5.057403204571084,
        5.057425140975408,
        5.057446600501375,
        5.057468536905699,
        5.057489996431667,
        5.05751193283599,
        5.057533392361958,
        5.0575553287662816,
        5.057576788292249,
        5.057598724696573,
        5.057620184222541,
        5.0576421206268645,
        5.057663580152832,
        5.0576855165571555,
        5.057706976083123,
        5.0577289124874465,
        5.057750372013415,
        5.057771831539383,
        5.057793767943706,
        5.057815227469675,
        5.057837163873998,
        5.057858623399966,
        5.057880559804289,
        5.057902019330258,
        5.0579234788562255,
        5.057945415260549,
        5.0579668747865165,
        5.05798881119084,
        5.058010270716808,
        5.058032207121132,
        5.058053666647099,
        5.058075126173068,
        5.058097062577391,
        5.058118522103359,
        5.058139981629328,
        5.058161918033651,
        5.058183377559619,
        5.058205313963942,
        5.05822677348991,
        5.0582482330158784,
        5.058270169420202,
        5.0582916289461695,
        5.058313088472138,
        5.058335024876461,
        5.058356484402429,
        5.058377943928398,
        5.058399880332721,
        5.058421339858689,
        5.0584427993846575,
        5.058464735788981,
        5.0584861953149485,
        5.058507654840917,
        5.05852959124524,
        5.058551050771208,
        5.058572510297177,
        5.058594446701499,
        5.058615906227468,
        5.0586373657534365,
        5.058659302157759,
        5.0586807616837275,
        5.058702221209695,
        5.058723680735664,
        5.058745617139987,
        5.058767076665955,
        5.058788536191924,
        5.058810472596247,
        5.058831932122215,
        5.058853391648183,
        5.058874851174151,
        5.058896787578474,
        5.058918247104443,
        5.058939706630411,
        5.058961166156379,
        5.058983102560703,
        5.05900456208667,
        5.059026021612639,
        5.059047481138607,
        5.05906941754293,
        5.059090877068899,
        5.0591123365948665,
        5.059133796120835,
        5.059155255646803,
        5.059177192051126,
        5.059198651577095,
        5.059220111103063,
        5.059241570629031,
        5.059263030154999,
        5.059284966559322,
        5.059306426085291,
        5.059327885611259,
        5.059349345137227,
        5.059370804663195,
        5.059392741067518,
        5.059414200593487,
        5.059435660119455,
        5.059457119645423,
        5.059478579171391,
        5.05950003869736,
        5.059521498223328,
        5.059543434627651,
        5.0595648941536195,
        5.059586353679587,
        5.059607813205556,
        5.059629272731524,
        5.059650732257492,
        5.059672191783461,
        5.059694128187783,
        5.059715587713752,
        5.05973704723972,
        5.0597585067656885,
        5.059779966291657,
        5.059801425817625,
        5.059822885343594,
        5.059844344869561,
        5.05986580439553,
        5.059887740799853,
        5.059909200325821,
        5.05993065985179,
        5.0599521193777575,
        5.059973578903726,
        5.059995038429694,
        5.0600164979556626,
        5.06003795748163,
        5.060123795585503,
        5.060145255111472,
        5.0601667146374405,
        5.060188174163408,
        5.061131916427657,
        5.061153375953625,
        5.061217277653174,
        5.061238737179143,
        5.061260196705112,
        5.061281656231079,
        5.061303115757048,
        5.061324575283016,
        5.0613460348089845,
        5.061367017456598,
        5.061388476982565,
        5.061409936508534,
        5.061431396034503,
        5.0614528555604705,
        5.061474315086439,
        5.061495297734052,
        5.06151675726002,
        5.061538216785989,
        5.0615596763119575,
        5.061581135837925,
        5.061602595363894,
        5.061623578011507,
        5.061645037537475,
        5.0616664970634435,
        5.061687956589411,
        5.06170941611538,
        5.061730398762993,
        5.061751858288962,
        5.06177331781493,
        5.061794777340898,
        5.061815759988511,
        5.06183721951448,
        5.061858679040448,
        5.0618801385664165,
        5.06190112121403,
        5.061922580739998,
        5.061944040265966,
        5.061965499791935,
        5.061986482439548,
        5.062007941965516,
        5.062029401491484,
        5.062050861017452,
        5.062071843665066,
        5.062093303191034,
        5.062114762717003,
        5.06213622224297,
        5.0621572048905845,
        5.062178664416552,
        5.062200123942521,
        5.062221106590134,
        5.062242566116102,
        5.062264025642071,
        5.062285485168039,
        5.062306467815652,
        5.06232792734162,
        5.062349386867589,
        5.062370369515202,
        5.062391829041171,
        5.0624132885671385,
        5.062434271214752,
        5.06245573074072,
        5.062477190266688,
        5.062498172914302,
        5.06251963244027,
        5.062541091966239,
        5.062562074613852,
        5.06258353413982,
        5.062604993665788,
        5.062625976313401,
        5.06264743583937,
        5.062668418486983,
        5.062689878012952,
        5.06271133753892,
        5.062732320186533,
        5.0627537797125015,
        5.06277523923847,
        5.062796221886083,
        5.062817681412051,
        5.062838664059665,
        5.062860123585633,
        5.062881583111602,
        5.062902565759215,
        5.062924025285183,
        5.062945007932797,
        5.062966467458764,
        5.062987926984733,
        5.063008909632346,
        5.063030369158315,
        5.063051351805928,
        5.063072811331896,
        5.06309379397951,
        5.063115253505478,
        5.063136236153091,
        5.06315769567906,
        5.063179155205027,
        5.0632001378526414,
        5.063221597378609,
        5.063242580026222,
        5.063264039552191,
        5.063285022199804,
        5.063306481725773,
        5.063327464373386,
        5.063348923899355,
        5.063369906546968,
        5.063391366072936,
        5.06341234872055,
        5.063433808246518,
        5.063454790894131,
        5.063476250420099,
        5.063497233067713,
        5.063518692593681,
        5.0635396752412944,
        5.063561134767262,
        5.063582117414876,
        5.063603576940844,
        5.063624559588457,
        5.063646019114426,
        5.063667001762039,
        5.063688461288008,
        5.063709443935621,
        5.06373090346159,
        5.063751886109203,
        5.063772868756816,
        5.063794328282785,
        5.063815310930398,
        5.063836770456366,
        5.06385775310398,
        5.0638792126299474,
        5.063900195277561,
        5.063921177925175,
        5.0639426374511425,
        5.063963620098756,
        5.063985079624724,
        5.0640060622723375,
        5.064027521798306,
        5.064048504445919,
        5.0640694870935326,
        5.064090946619501,
        5.064111929267114,
        5.064133388793083,
        5.064154371440696,
        5.064175354088309,
        5.064196813614278,
        5.064217796261891,
        5.0642387789095045,
        5.064260238435473,
        5.064281221083086,
        5.064302680609054,
        5.064323663256668,
        5.064344645904281,
        5.064366105430249,
        5.064387088077863,
        5.064408070725476,
        5.064429530251444,
        5.064450512899058,
        5.064471495546671,
        5.064492955072639,
        5.064513937720253,
        5.0645349203678665,
        5.064556379893834,
        5.064577362541448,
        5.0645983451890615,
        5.064619327836675,
        5.064640787362643,
        5.0646617700102565,
        5.06468275265787,
        5.064704212183838,
        5.064725194831452,
        5.064746177479065,
        5.064767637005033,
        5.064788619652647,
        5.06480960230026,
        5.064830584947873,
        5.064852044473842,
        5.064873027121455,
        5.064894009769068,
        5.064914992416682,
        5.06493645194265,
        5.064957434590264,
        5.064978417237877,
        5.06499939988549,
        5.065020859411459,
        5.065041842059072,
        5.065062824706685,
        5.0650838073542985,
        5.065105266880267,
        5.06512624952788,
        5.065147232175494,
        5.065168214823108,
        5.065189197470721,
        5.065210656996689,
        5.065231639644303,
        5.065252622291916,
        5.065273604939529,
        5.065294587587142,
        5.065316047113111,
        5.065337029760724,
        5.065358012408337,
        5.065378995055951,
        5.0653999777035645,
        5.065421437229532,
        5.065442419877146,
        5.06546340252476,
        5.065484385172373,
        5.065505367819986,
        5.065526350467599,
        5.065547809993568,
        5.065568792641181,
        5.065589775288795,
        5.065610757936408,
        5.065631740584021,
        5.065652723231635,
        5.065673705879248,
        5.065694688526862,
        5.06571614805283,
        5.065737130700443,
        5.065758113348057,
        5.06577909599567,
        5.065800078643283,
        5.0658210612908965,
        5.065842043938511,
        5.065863026586124,
        5.065884009233737,
        5.065905468759706,
        5.065926451407319,
        5.065947434054932,
        5.065968416702545,
        5.065989399350159,
        5.066010381997772,
        5.066031364645386,
        5.066052347292999,
        5.066073329940613,
        5.066094312588226,
        5.066115295235839,
        5.066136277883452,
        5.0661572605310665,
        5.06617824317868,
        5.066199225826293,
        5.0662206853522616,
        5.066241667999875,
        5.066262650647488,
        5.066283633295101,
        5.066304615942715,
        5.066325598590328,
        5.066346581237942,
        5.066367563885555,
        5.066388546533169,
        5.066409529180782,
        5.066430511828395,
        5.066451494476008,
        5.066472477123622,
        5.066493459771236,
        5.066514442418849,
        5.066535425066462,
        5.066556407714075,
        5.066577390361689,
        5.0665983730093025,
        5.066619355656916,
        5.066640338304529,
        5.066661320952143,
        5.0666818267214015,
        5.066702809369015,
        5.066723792016628,
        5.066744774664241,
        5.066765757311855,
        5.066786739959468,
        5.066807722607082,
        5.066828705254695,
        5.066849687902309,
        5.066870670549922,
        5.066891653197535,
        5.066912635845148,
        5.066933618492762,
        5.066954601140376,
        5.066975583787989,
        5.0669960895572475,
        5.067017072204861,
        5.067038054852474,
        5.067059037500088,
        5.067080020147701,
        5.067101002795314,
        5.0671219854429275,
        5.0671429680905415,
        5.067163950738155,
        5.067184456507413,
        5.0672054391550265,
        5.06722642180264,
        5.067247404450253,
        5.067268387097867,
        5.06728936974548,
        5.067310352393093,
        5.0673313350407065,
        5.067351840809965,
        5.067372823457579,
        5.067393806105192,
        5.067414788752806,
        5.067435771400419,
        5.067456754048033,
        5.0674772598172915,
        5.067498242464905,
        5.067519225112518,
        5.067540207760131,
        5.067561190407744,
        5.067581696177003,
        5.067602678824617,
        5.06762366147223,
        5.067644644119843,
        5.0676656267674565,
        5.067686132536715,
        5.067707115184329,
        5.067728097831942,
        5.0677490804795555,
        5.067770063127169,
        5.067790568896427,
        5.0678115515440405,
        5.067832534191655,
        5.067853516839268,
        5.067874022608526,
        5.06789500525614,
        5.067915987903753,
        5.067936970551367,
        5.067957476320625,
        5.067978458968239,
        5.067999441615852,
        5.068020424263465,
        5.068040930032724,
        5.068061912680337,
        5.068082895327951,
        5.068103877975564,
        5.068124383744823,
        5.068145366392436,
        5.068166349040049,
        5.068186854809308,
        5.068207837456921,
        5.068228820104535,
        5.068249802752148,
        5.068270308521407,
        5.06829129116902,
        5.068312273816633,
        5.068332779585892,
        5.068353762233506,
        5.068374744881119,
        5.0683952506503775,
        5.068416233297991,
        5.068437215945604,
        5.0684577217148625,
        5.068478704362476,
        5.06849968701009,
        5.068520192779348,
        5.068541175426962,
        5.068562158074575,
        5.068582663843833,
        5.068603646491447,
        5.06862462913906,
        5.068645134908318,
        5.068666117555932,
        5.068686623325191,
        5.068707605972804,
        5.068728588620417,
        5.068749094389676,
        5.068770077037289,
        5.068791059684903,
        5.068811565454161,
        5.068832548101775,
        5.068853053871034,
        5.068874036518647,
        5.0688945422879055,
        5.068915524935519,
        5.068936507583132,
        5.0689570133523905,
        5.068977996000004,
        5.068998501769262,
        5.069019484416876,
        5.0690404670644895,
        5.069060972833748,
        5.069081955481361,
        5.06910246125062,
        5.069123443898233,
        5.069143949667492,
        5.069164932315105,
        5.0691854380843635,
        5.069206420731978,
        5.069226926501236,
        5.069247909148849,
        5.069268414918108,
        5.069289397565721,
        5.069310380213334,
        5.069330885982593,
        5.069351868630206,
        5.069372374399465,
        5.069393357047079,
        5.0694138628163365,
        5.069434845463951,
        5.069455351233209,
        5.069476333880822,
        5.069496839650081,
        5.069517822297694,
        5.069538328066953,
        5.069558833836211,
        5.069579816483825,
        5.069600322253083,
        5.069621304900696,
        5.069641810669955,
        5.069662793317569,
        5.069683299086828,
        5.069704281734441,
        5.0697247875036995,
        5.069745770151313,
        5.069766275920571,
        5.0697872585681845,
        5.069807764337443,
        5.069828270106702,
        5.069849252754315,
        5.0698697585235735,
        5.069890741171187,
        5.069911246940445,
        5.069931752709704,
        5.069952735357318,
        5.069973241126576,
        5.06999422377419,
        5.070014729543448,
        5.0700357121910615,
        5.07005621796032,
        5.070076723729579,
        5.070097706377192,
        5.0701182121464505,
        5.070138717915709,
        5.070159700563322,
        5.070180206332581,
        5.070201188980194,
        5.070221694749453,
        5.070242200518711,
        5.0702631831663245,
        5.070283688935583,
        5.070304194704842,
        5.070325177352456,
        5.0703456831217135,
        5.070366188890972,
        5.070387171538586,
        5.070407677307845,
        5.070428183077103,
        5.070449165724717,
        5.070469671493975,
        5.070490177263234,
        5.070511159910847,
        5.070531665680106,
        5.070552171449364,
        5.070573154096977,
        5.070593659866236,
        5.070614165635495,
        5.070634671404753,
        5.070655654052366,
        5.070676159821625,
        5.070696665590884,
        5.070717648238497,
        5.070738154007755,
        5.070758659777014,
        5.070779165546273,
        5.070800148193886,
        5.070820653963144,
        5.070841159732403,
        5.070862142380016,
        5.070882648149275,
        5.070903153918533,
        5.070923659687792,
        5.070944642335405,
        5.070965148104664,
        5.070985653873922,
        5.071006159643181,
        5.07102666541244,
        5.071047648060053,
        5.071068153829311,
        5.07108865959857,
        5.071109165367829,
        5.071130148015442,
        5.0711506537847,
        5.071171159553959,
        5.071191665323218,
        5.071212171092476,
        5.071233153740089,
        5.071253659509348,
        5.071274165278607,
        5.071294671047865,
        5.071315176817124,
        5.0713356825863825,
        5.071356665233996,
        5.071377171003254,
        5.071397676772513,
        5.0714181825417715,
        5.07143868831103,
        5.071459194080289,
        5.071480176727902,
        5.0715006824971605,
        5.071521188266419,
        5.071541694035678,
        5.071562199804936,
        5.071582705574195,
        5.0716032113434535,
        5.071624193991067,
        5.071644699760325,
        5.071665205529584,
        5.0716857112988425,
        5.071706217068101,
        5.07172672283736,
        5.071747228606618,
        5.071767734375877,
        5.0717882401451355,
        5.071809222792749,
        5.071829728562007,
        5.071850234331266,
        5.0718707401005245,
        5.071891245869783,
        5.071911751639042,
        5.0719322574083,
        5.071952763177559,
        5.071973268946817,
        5.071993774716075,
        5.072014280485334,
        5.0720347862545925,
        5.072055292023851,
        5.07207579779311,
        5.072096780440723,
        5.0721172862099815,
        5.07213779197924,
        5.072158297748499,
        5.072178803517757,
        5.072199309287016,
        5.0722198150562745,
        5.072240320825533,
        5.072260826594792,
        5.07228133236405,
        5.072301838133309,
        5.0723223439025675,
        5.072342849671826,
        5.072363355441085,
        5.072383861210343,
        5.072404366979601,
        5.07242487274886,
        5.072445378518118,
        5.072465884287377,
        5.0724863900566355,
        5.072506895825894,
        5.072527401595153,
        5.072547907364411,
        5.07256841313367,
        5.0725889189029285,
        5.072609424672187,
        5.072629930441446,
        5.072649959332349,
        5.0726704651016075,
        5.072690970870866,
        5.072711476640125,
        5.072731982409383,
        5.072752488178642,
        5.0727729939479005,
        5.072793499717159,
        5.072814005486418,
        5.072834511255676,
        5.072855017024935,
        5.0728755227941935,
        5.072896028563452,
        5.072916534332711,
        5.072936563223614,
        5.0729570689928725,
        5.072977574762131,
        5.07299808053139,
        5.073018586300648,
        5.073039092069907,
        5.0730595978391655,
        5.073080103608424,
        5.073100609377683,
        5.073120638268586,
        5.073141144037844,
        5.073161649807103,
        5.073182155576362,
        5.07320266134562,
        5.073223167114879,
        5.0732436728841375,
        5.0732637017750415,
        5.0732842075443,
        5.073304713313559,
        5.073325219082817,
        5.073345724852075,
        5.073366230621334,
        5.073386259512238,
        5.073406765281496,
        5.073427271050755,
        5.0734477768200135,
        5.073468282589272,
        5.073488788358531,
        5.073508817249434,
        5.073529323018692,
        5.073549828787951,
        5.07357033455721,
        5.073590840326468,
        5.073610869217372,
        5.073631374986631,
        5.0736518807558895,
        5.073672386525148,
        5.073692892294407,
        5.07371292118531,
        5.073733426954568,
        5.073753932723827,
        5.073774438493086,
        5.07379446738399,
        5.073814973153248,
        5.073835478922507,
        5.073855984691765,
        5.073876013582669,
        5.073896519351927,
        5.073917025121186,
        5.073937530890444,
        5.073957559781348,
        5.073978065550606,
        5.073998571319865,
        5.074018600210769,
        5.074039105980027,
        5.074059611749286,
        5.074080117518545,
        5.074100146409449,
        5.074120652178706,
        5.074141157947965,
        5.074161186838869,
        5.074181692608128,
        5.074202198377386,
        5.07422222726829,
        5.074242733037548,
        5.0742632388068065,
        5.0742832676977105,
        5.074303773466969,
        5.074324279236228,
        5.074344308127132,
        5.07436481389639,
        5.074385319665648,
        5.074405348556552,
        5.074425854325811,
        5.074446360095069,
        5.074466388985973,
        5.074486894755232,
        5.074507400524491,
        5.074527429415394,
        5.074547935184652,
        5.074568440953911,
        5.074588469844815,
        5.0746089756140735,
        5.074629004504977,
        5.074649510274235,
        5.074670016043494,
        5.074690044934398,
        5.0747105507036565,
        5.07473057959456,
        5.074751085363818,
        5.074771591133077,
        5.074791620023981,
        5.0748121257932395,
        5.074832154684143,
        5.074852660453401,
        5.07487316622266,
        5.074893195113564,
        5.0749137008828225,
        5.0749337297737265,
        5.074954235542984,
        5.074974264433888,
        5.074994770203147,
        5.075014799094051,
        5.0750353048633094,
        5.075055810632568,
        5.075075839523471,
        5.07509634529273,
        5.075116374183634,
        5.075136879952892,
        5.0751569088437956,
        5.075177414613054,
        5.075197443503958,
        5.075217949273217,
        5.07523797816412,
        5.0752584839333785,
        5.0752785128242826,
        5.075299018593541,
        5.075319047484445,
        5.075339553253704,
        5.075359582144607,
        5.0753800879138655,
        5.0754001168047695,
        5.075420622574028,
        5.075440651464931,
        5.07546115723419,
        5.075481186125094,
        5.0755016918943525,
        5.0755217207852565,
        5.075542226554514,
        5.075562255445418,
        5.075582284336322,
        5.075602790105581,
        5.075622818996484,
        5.075643324765743,
        5.075663353656647,
        5.075683859425905,
        5.075703888316808,
        5.075724394086067,
        5.075744422976971,
        5.075764451867875,
        5.075784957637134,
        5.075804986528037,
        5.075825492297295,
        5.075845521188199,
        5.075865550079103,
        5.075886055848361,
        5.075906084739265,
        5.075926590508524,
        5.075946619399428,
        5.075966648290331,
        5.07598715405959,
        5.076007182950494,
        5.076027688719752,
        5.076047717610655,
        5.076067746501559,
        5.076088252270818,
        5.076108281161722,
        5.076128310052625,
        5.076148815821884,
        5.076168844712788,
        5.076188873603692,
        5.0762093793729495,
        5.0762294082638535,
        5.0762494371547575,
        5.076269942924016,
        5.076289971814919,
        5.076310000705823,
        5.076330506475082,
        5.076350535365986,
        5.076370564256889,
        5.076391070026148,
        5.076411098917052,
        5.076431127807955,
        5.076451633577213,
        5.076471662468117,
        5.0764916913590215,
        5.07651219712828,
        5.076532226019183,
        5.076552254910087,
        5.07657228380099,
        5.076592789570249,
        5.076612818461153,
        5.076632847352057,
        5.07665287624296,
        5.076673382012219,
        5.076693410903123,
        5.076713439794027,
        5.0767339455632845,
        5.0767539744541885,
        5.0767740033450925,
        5.076794032235996,
        5.076814538005254,
        5.076834566896158,
        5.076854595787062,
        5.0768746246779655,
        5.0768946535688695,
        5.076915159338128,
        5.076935188229031,
        5.076955217119935,
        5.076975246010839,
        5.076995751780098,
        5.077015780671001,
        5.077035809561905,
        5.077055838452809,
        5.077075867343712,
        5.077096373112971,
        5.077116402003875,
        5.077136430894778,
        5.077156459785682,
        5.077176488676586,
        5.077196517567489,
        5.077217023336748,
        5.077237052227652,
        5.077257081118556,
        5.077277110009459,
        5.077297138900363,
        5.077317167791266,
        5.077337673560525,
        5.077357702451429,
        5.077377731342333,
        5.077397760233236,
        5.07741778912414,
        5.077437818015044,
        5.077457846905947,
        5.077478352675206,
        5.07749838156611,
        5.077518410457013,
        5.077538439347917,
        5.077558468238821,
        5.077578497129724,
        5.077598526020628,
        5.077618554911532,
        5.077638583802435,
        5.077659089571694,
        5.077679118462598,
        5.077699147353501,
        5.077719176244405,
        5.077739205135309,
        5.077759234026212,
        5.077779262917116,
        5.07779929180802,
        5.077819320698923,
        5.077839349589827,
        5.077859378480731,
        5.0778794073716345,
        5.0778994362625385,
        5.0779194651534425,
        5.0779399709227,
        5.077959999813604,
        5.077980028704508,
        5.078000057595411,
        5.078020086486315,
        5.078040115377219,
        5.078060144268123,
        5.078080173159027,
        5.078100202049931,
        5.078120230940834,
        5.078140259831738,
        5.078160288722641,
        5.078180317613545,
        5.078200346504449,
        5.078220375395352,
        5.078240404286256,
        5.07826043317716,
        5.078280462068063,
        5.078300490958967,
        5.078320519849871,
        5.0783405487407745,
        5.0783605776316785,
        5.078380606522582,
        5.078400635413486,
        5.07842066430439,
        5.078440693195293,
        5.078460722086197,
        5.078480750977101,
        5.078500302989649,
        5.078520331880553,
        5.0785403607714565,
        5.078560389662361,
        5.078580418553265,
        5.078600447444168,
        5.078620476335072,
        5.078640505225975,
        5.078660534116879,
        5.078680563007783,
        5.078700591898686,
        5.07872062078959,
        5.078740649680494,
        5.078760678571397,
        5.078780230583947,
        5.07880025947485,
        5.078820288365754,
        5.078840317256658,
        5.078860346147561,
        5.078880375038465,
        5.078900403929368,
        5.078920432820272,
        5.078940461711176,
        5.078960013723725,
        5.078980042614629,
        5.079000071505532,
        5.079020100396436,
        5.07904012928734,
        5.079060158178243,
        5.079080187069147,
        5.079099739081696,
        5.0791197679726,
        5.079139796863504,
        5.079159825754407,
        5.079179854645311,
        5.079219435548763,
        5.079239464439667,
        5.079259493330571,
        5.079279522221475,
        5.07933913201583,
        5.079359160906734,
        5.079379189797638,
        5.0793992186885415,
        5.079418770701091,
        5.079438799591994,
        5.079458828482898,
        5.079478857373801,
        5.079538467168158,
        5.079558496059062,
        5.079578524949965,
        5.079598076962514,
        5.0796181058534176,
        5.079638134744322,
        5.079677715647774,
        5.079697744538678,
        5.079717773429581,
        5.079737802320485,
        5.079757354333034,
        5.079777383223938,
        5.079797412114841,
        5.079817441005745,
        5.079877050800102,
        5.07989660281265,
        5.080095461086623,
        5.080115489977526,
        5.08013551886843,
        5.080274290469691,
        5.080353929154952,
        5.0875929425815745,
        5.096462879981785,
        5.096485770142818,
        5.096508183425496,
        5.096531073586529,
        5.096553963747562,
        5.09657637703024,
        5.096599267191272,
        5.096622157352305,
        5.096644570634983,
        5.096667460796016,
        5.096690350957049,
        5.096712764239727,
        5.096735654400759,
        5.0967585445617924,
        5.09678095784447,
        5.096803848005503,
        5.096826738166536,
        5.096849151449214,
        5.096872041610247,
        5.0968949317712795,
        5.096917345053957,
        5.096940235214991,
        5.0969626484976684,
        5.096985538658701,
        5.097008428819734,
        5.097030842102412,
        5.097053732263444,
        5.097076622424478,
        5.0970990357071555,
        5.097121925868188,
        5.097144339150866,
        5.097167229311899,
        5.097190119472931,
        5.097212532755609,
        5.0972354229166426,
        5.09725783619932,
        5.097280726360353,
        5.097303616521386,
        5.097326029804064,
        5.097348919965096,
        5.097371333247775,
        5.097394223408807,
        5.097416636691485,
        5.0974395268525186,
        5.097598327344683,
        5.097620740627361,
        5.097643630788394,
        5.097666044071072,
        5.097688934232105,
        5.097734237675816,
        5.097779541119526,
        5.097801954402204,
        5.097824844563237,
        5.097847257845915,
        5.097915451450659,
        5.0979831681770476,
        5.09800605833808,
        5.098073775064469,
        5.098096188347147,
        5.098543261804819,
        5.100575478914012,
        5.100665132044724,
        5.100732371892757,
        5.100754785175436,
        5.100777198458114,
        5.100799611740792,
        5.100889264871503,
        5.100911678154182,
        5.1009340914368595,
        5.100956504719537,
        5.100978918002215,
        5.101001331284893,
        5.101023744567571,
        5.101046157850249,
        5.101068571132927,
        5.101090984415605,
        5.101113397698283,
        5.101135810980961,
        5.101158224263639,
        5.1011806375463165,
        5.101203050828994,
        5.101225464111673,
        5.101247877394351,
        5.101270290677029,
        5.1012927039597065,
        5.101315117242384,
        5.101337530525062,
        5.101382357090419,
        5.1014047703730965,
        5.101427183655774,
        5.1014491200600975,
        5.101471533342775,
        5.101493946625453,
        5.101516359908131,
        5.101538773190809,
        5.101561186473487,
        5.101583599756165,
        5.101606013038843,
        5.101628426321521,
        5.101650839604199,
        5.101673252886877,
        5.1016951892912,
        5.101717602573878,
        5.101740015856556,
        5.101762429139233,
        5.101784842421911,
        5.10180725570459,
        5.101829668987268,
        5.101852082269946,
        5.101874018674269,
        5.101896431956947,
        5.1019188452396245,
        5.101941258522302,
        5.10196367180498,
        5.101986085087658,
        5.102008021491981,
        5.102030434774659,
        5.102052848057338,
        5.1020752613400155,
        5.102097674622693,
        5.102120087905371,
        5.102142024309694,
        5.102164437592372,
        5.10218685087505,
        5.102209264157728,
        5.102231677440406,
        5.102253613844729,
        5.102276027127407,
        5.1022984404100855,
        5.102320853692763,
        5.102343266975441,
        5.102365203379764,
        5.102387616662442,
        5.10241002994512,
        5.102432443227798,
        5.102454856510476,
        5.102476792914799,
        5.102499206197477,
        5.102521619480155,
        5.102544032762833,
        5.102565969167156,
        5.102588382449834,
        5.102610795732512,
        5.10263320901519,
        5.102655145419513,
        5.102677558702191,
        5.102699971984869,
        5.102721908389192,
        5.10274432167187,
        5.102766734954548,
        5.102789148237226,
        5.102811084641549,
        5.102833497924227,
        5.1028559112069045,
        5.102877847611228,
        5.102900260893906,
        5.102922674176583,
        5.102944610580907,
        5.1029670238635845,
        5.102989437146263,
        5.103011850428941,
        5.103033786833264,
        5.103056200115942,
        5.10307861339862,
        5.103100549802943,
        5.103122963085621,
        5.103145376368299,
        5.103167312772622,
        5.1031897260553,
        5.103211662459623,
        5.103234075742301,
        5.103256489024979,
        5.103278425429302,
        5.10330083871198,
        5.103323251994658,
        5.103345188398981,
        5.103367601681659,
        5.1033900149643365,
        5.103434364651338,
        5.10352306402534,
        5.1035454773080176,
        5.103567413712341,
        5.103589826995019,
        5.103612240277697,
        5.10363417668202,
        5.103656589964698,
        5.103678526369021,
        5.1037009396516995,
        5.103722876056022,
        5.1037452893387005,
        5.103767702621378,
        5.103789639025702,
        5.103812052308379,
        5.103833988712702,
        5.1038564019953805,
        5.103878338399703,
        5.1039007516823816,
        5.103922688086704,
        5.103945101369383,
        5.103967037773705,
        5.103989451056384,
        5.104011387460706,
        5.104033800743385,
        5.104055737147707,
        5.104078150430386,
        5.104100086834708,
        5.104122500117387,
        5.104144436521709,
        5.104166849804388,
        5.10418878620871,
        5.104211199491389,
        5.104233135895711,
        5.104255549178389,
        5.104277485582712,
        5.10429989886539,
        5.1043218352697135,
        5.104344248552391,
        5.104366184956715,
        5.104388598239392,
        5.104410534643716,
        5.1044329479263935,
        5.104454884330717,
        5.1044772976133945,
        5.104499234017718,
        5.104521170422041,
        5.104543583704719,
        5.104565520109042,
        5.10458793339172,
        5.104609869796043,
        5.104632283078721,
        5.104654219483044,
        5.1046761558873675,
        5.104698569170045,
        5.1047205055743685,
        5.104742918857046,
        5.10476485526137,
        5.104786791665693,
        5.104809204948371,
        5.104831141352694,
        5.104853554635372,
        5.104875491039695,
        5.104897427444018,
        5.104919840726696,
        5.104941777131019,
        5.104963713535342,
        5.104986126818019,
        5.105008063222343,
        5.105029999626666,
        5.105052412909344,
        5.105074349313667,
        5.105096762596345,
        5.105118699000668,
        5.105140635404991,
        5.105163048687669,
        5.105184985091992,
        5.105206921496316,
        5.105229334778993,
        5.105251271183317,
        5.10527320758764,
        5.105295143991962,
        5.105317557274641,
        5.105339493678963,
        5.105361430083287,
        5.105383843365964,
        5.105405779770288,
        5.105427716174611,
        5.105450129457289,
        5.105472065861612,
        5.105494002265935,
        5.105515938670258,
        5.105538351952936,
        5.1055602883572595,
        5.105582224761583,
        5.105604638044261,
        5.105626574448584,
        5.105648510852906,
        5.105670447257229,
        5.105692860539907,
        5.1057147969442305,
        5.105736733348554,
        5.105758669752877,
        5.105781083035555,
        5.105803019439878,
        5.105824955844201,
        5.1058468922485245,
        5.105868828652847,
        5.105891241935526,
        5.105913178339848,
        5.105935114744171,
        5.105957051148494,
        5.105978987552818,
        5.1060014008354955,
        5.106023337239819,
        5.106045273644142,
        5.106067210048465,
        5.1060891464527876,
        5.106111559735466,
        5.106133496139789,
        5.106155432544112,
        5.106177368948435,
        5.106199305352758,
        5.106221718635436,
        5.106243655039759,
        5.106265591444083,
        5.106287527848406,
        5.106309464252729,
        5.1063314006570515,
        5.106353337061375,
        5.1063757503440526,
        5.106397686748376,
        5.106419623152699,
        5.106441559557022,
        5.1064634959613455,
        5.106485432365669,
        5.106507368769991,
        5.106529305174314,
        5.106551718456992,
        5.106573654861315,
        5.106595591265639,
        5.106617527669962,
        5.106639464074285,
        5.106661400478608,
        5.106683336882931,
        5.106705273287254,
        5.106727209691577,
        5.1067491460959005,
        5.106771559378578,
        5.1067934957829015,
        5.106815432187225,
        5.106837368591548,
        5.10685930499587,
        5.106881241400194,
        5.106903177804517,
        5.10692511420884,
        5.106947050613163,
        5.106968987017487,
        5.10699092342181,
        5.107012859826132,
        5.107034796230455,
        5.107056732634779,
        5.107078669039102,
        5.107100605443425,
        5.107122541847748,
        5.107144478252071,
        5.107166414656394,
        5.107188351060717,
        5.1072102874650405,
        5.107232223869364,
        5.107254160273687,
        5.107276096678009,
        5.1072980330823325,
        5.107319969486656,
        5.107341905890979,
        5.107363842295302,
        5.1073857786996255,
        5.107407715103949,
        5.107429651508271,
        5.107451587912594,
        5.107473524316918,
        5.107495460721241,
        5.107517397125564,
        5.107539333529887,
        5.10756126993421,
        5.107583206338533,
        5.107605142742856,
        5.107627079147179,
        5.107649015551503,
        5.107670951955826,
        5.107692888360148,
        5.107714347886117,
        5.10773628429044,
        5.107758220694763,
        5.107780157099087,
        5.107802093503409,
        5.107824029907732,
        5.1078459663120555,
        5.107867902716379,
        5.107889839120702,
        5.107911775525025,
        5.1079337119293475,
        5.107955171455316,
        5.107977107859639,
        5.107999044263963,
        5.108020980668285,
        5.108042917072608,
        5.1080648534769315,
        5.108086789881255,
        5.108108726285578,
        5.108130185811546,
        5.108152122215869,
        5.108174058620192,
        5.1081959950245155,
        5.108217931428839,
        5.108239867833162,
        5.10826132735913,
        5.108283263763453,
        5.108305200167776,
        5.108349072976423,
        5.108392468906714,
        5.1087639571451415,
        5.108829289479757,
        5.108894621814371,
        5.1089384946230165,
        5.108959954148985,
        5.108981890553308,
        5.109003826957632,
        5.109025763361954,
        5.109047222887923,
        5.109069159292246,
        5.109091095696569,
        5.109112555222537,
        5.10913449162686,
        5.109156428031183,
        5.109177887557151,
        5.109199823961474,
        5.109221760365798,
        5.109243219891766,
        5.10926515629609,
        5.109287092700412,
        5.109309029104735,
        5.109330488630704,
        5.109352425035027,
        5.109373884560995,
        5.109395820965318,
        5.109417757369641,
        5.109439216895609,
        5.109461153299932,
        5.109483089704256,
        5.109504549230224,
        5.109526485634547,
        5.10954842203887,
        5.1095698815648385,
        5.109591817969162,
        5.1096132774951295,
        5.109635213899453,
        5.109657150303776,
        5.109678609829744,
        5.109700546234067,
        5.10972248263839,
        5.109743942164359,
        5.109765878568682,
        5.10978733809465,
        5.109809274498973,
        5.109830734024941,
        5.109852670429264,
        5.109874606833587,
        5.109896066359556,
        5.109918002763878,
        5.109939462289847,
        5.10996139869417,
        5.109982858220138,
        5.110004794624461,
        5.110026731028785,
        5.110048190554753,
        5.110091586485044,
        5.1101135228893675,
        5.1101569188196585,
        5.110178378345627,
        5.110373898471115,
        5.110417294401407,
        5.110438753927375,
        5.110460690331698,
        5.110482149857666,
        5.110504086261989,
        5.110525545787958,
        5.110547482192281,
        5.110568941718249,
        5.110590878122572,
        5.110612337648541,
        5.110634274052863,
        5.110655733578832,
        5.1106771931048005,
        5.110699129509123,
        5.1107205890350915,
        5.110742525439415,
        5.1107639849653825,
        5.110785921369706,
        5.110828840421642,
        5.1108507768259654,
        5.110872236351934,
        5.1108941727562565,
        5.110915632282225,
        5.110937091808194,
        5.110959028212516,
        5.110980487738485,
        5.111002424142808,
        5.111023883668776,
        5.1110453431947445,
        5.111067279599068,
        5.1110887391250355,
        5.111110675529359,
        5.111132135055327,
        5.111153594581295,
        5.111175530985618,
        5.111196990511587,
        5.111218450037555,
        5.111240386441878,
        5.111261845967846,
        5.1112833054938145,
        5.111305241898138,
        5.111348160950074,
        5.111370097354397,
        5.111391556880365,
        5.111413016406334,
        5.111434952810657,
        5.111456412336625,
        5.1114778718625935,
        5.111499808266917,
        5.1115212677928845,
        5.111564663723176,
        5.111629042301081,
        5.1116724382313725,
        5.111737293687631,
        5.112857480943174,
        5.112943319047047,
        5.112986714977339,
        5.113008174503307,
        5.113029634029275,
        5.11309401260718,
        5.113158391185085,
        5.113179850711053,
        5.113201310237021,
        5.11322276976299,
        5.1132442292889575,
        5.113265688814926,
        5.113287148340894,
        5.113308607866863,
        5.11333006739283,
        5.113437365022672,
        5.113501743600577,
        5.113544662652513,
        5.113716338860259,
        5.1137592579121955,
        5.113823159611746,
        5.1138660786636825,
        5.11388753818965,
        5.113908997715619,
        5.113973376293523,
        5.1141231160969465,
        5.114315774952305,
        5.114337234478274,
        5.114392075489082,
        5.1169333602420775,
        5.1169967850632725,
        5.117039227236854,
        5.117081669410436,
        5.117102652058049,
        5.117123634705663,
        5.117166076879244,
        5.117208519052826,
        5.117229501700439,
        5.117250961226408,
        5.117271943874021,
        5.1172929265216345,
        5.117314386047603,
        5.117335368695216,
        5.1173563513428295,
        5.117377810868798,
        5.117398793516411,
        5.1174197761640245,
        5.117441235689993,
        5.117462218337606,
        5.11748320098522,
        5.117504660511188,
        5.117525643158801,
        5.117546625806415,
        5.117568085332383,
        5.1175890679799965,
        5.11761005062761,
        5.117631510153578,
        5.1176524928011915,
        5.117673475448805,
        5.117694458096418,
        5.1177159176223865,
        5.11773690027,
        5.117757882917613,
        5.117778865565227,
        5.117800325091195,
        5.117821307738808,
        5.117842290386422,
        5.11786374991239,
        5.117884732560003,
        5.117905715207617,
        5.11792669785523,
        5.117948157381198,
        5.117969140028812,
        5.117990122676425,
        5.1180111053240385,
        5.118032087971652,
        5.11805354749762,
        5.1180745301452335,
        5.118095512792847,
        5.118116495440461,
        5.1181379549664285,
        5.118158937614042,
        5.118179920261656,
        5.118200902909269,
        5.118221885556882,
        5.118243345082851,
        5.118264327730464,
        5.118285310378077,
        5.11830629302569,
        5.1183272756733045,
        5.118348258320918,
        5.118369717846885,
        5.1183907004944995,
        5.118411683142113,
        5.118432665789726,
        5.118453648437339,
        5.118474631084953,
        5.118496090610921,
        5.118517073258534,
        5.118538055906148,
        5.118559038553761,
        5.118580021201375,
        5.118601003848988,
        5.118621986496602,
        5.11864344602257,
        5.118664428670183,
        5.118685411317797,
        5.11870639396541,
        5.118727376613023,
        5.118748359260636,
        5.1187693419082505,
        5.118790324555864,
        5.118811307203477,
        5.1188327667294455,
        5.118853749377059,
        5.118874732024672,
        5.118895714672285,
        5.118916697319899,
        5.118937679967512,
        5.1189586626151256,
        5.118979645262739,
        5.119000627910353,
        5.119021610557966,
        5.119042593205579,
        5.119063575853192,
        5.1190845585008065,
        5.11910554114842,
        5.119126523796033,
        5.119147506443646,
        5.119168965969615,
        5.119189948617228,
        5.119210931264841,
        5.119231913912455,
        5.119252896560068,
        5.1192738792076815,
        5.119294861855295,
        5.119315844502909,
        5.119336827150522,
        5.119357809798135,
        5.119378792445748,
        5.1193997750933615,
        5.119420757740976,
        5.119441740388589,
        5.119462723036202,
        5.119483705683815,
        5.119504688331429,
        5.119525670979042,
        5.119546653626656,
        5.119567636274269,
        5.119588618921883,
        5.1196091246911415,
        5.119630107338755,
        5.119651089986368,
        5.119672072633981,
        5.119693055281595,
        5.119714037929208,
        5.1197350205768215,
        5.119756003224435,
        5.119776985872048,
        5.119797968519662,
        5.119818951167275,
        5.119839933814888,
        5.1198609164625015,
        5.119881899110116,
        5.119902881757729,
        5.119923387526987,
        5.119944370174601,
        5.119965352822214,
        5.119986335469828,
        5.120007318117441,
        5.120028300765054,
        5.120049283412667,
        5.1200702660602815,
        5.120091248707895,
        5.120112231355508,
        5.1201327371247665,
        5.12015371977238,
        5.120174702419993,
        5.120195685067607,
        5.12021666771522,
        5.120237650362833,
        5.1202586330104465,
        5.120279138779705,
        5.120300121427319,
        5.120321104074932,
        5.1203420867225455,
        5.120363069370159,
        5.120384052017773,
        5.1204045577870305,
        5.120425540434645,
        5.120446523082258,
        5.120467505729871,
        5.120488488377484,
        5.120509471025098,
        5.120529976794357,
        5.12055095944197,
        5.120571942089583,
        5.120592924737196,
        5.1206139073848105,
        5.120634413154069,
        5.120655395801682,
        5.1206763784492955,
        5.120697361096909,
        5.120717866866167,
        5.12073884951378,
        5.1207598321613945,
        5.120780814809008,
        5.120801797456621,
        5.1208223032258795,
        5.120843285873493,
        5.120864268521107,
        5.12088525116872,
        5.120905756937979,
        5.120926739585592,
        5.120947722233205,
        5.1209682280024635,
        5.120989210650077,
        5.121010193297691,
        5.121031175945304,
        5.121051681714563,
        5.121072664362176,
        5.121093647009789,
        5.121114152779048,
        5.121135135426661,
        5.121156118074275,
        5.121177100721888,
        5.121197606491147,
        5.12121858913876,
        5.121239571786373,
        5.121260077555632,
        5.121281060203246,
        5.121302042850859,
        5.1213225486201175,
        5.121343531267731,
        5.121364513915344,
        5.1213850196846025,
        5.121406002332216,
        5.12142698497983,
        5.121447490749088,
        5.1214684733967015,
        5.121489456044315,
        5.121509961813573,
        5.1215309444611865,
        5.1215519271088,
        5.121572432878058,
        5.121593415525672,
        5.121613921294931,
        5.121634903942544,
        5.121655886590157,
        5.121676392359416,
        5.121697375007029,
        5.121717880776288,
        5.121738863423901,
        5.121759846071515,
        5.121780351840774,
        5.121801334488387,
        5.121821840257645,
        5.121842822905259,
        5.121863805552872,
        5.12188431132213,
        5.121905293969744,
        5.121925799739002,
        5.121946782386616,
        5.121967288155875,
        5.121988270803488,
        5.122009253451101,
        5.12202975922036,
        5.122050741867973,
        5.122071247637232,
        5.122092230284845,
        5.122112736054103,
        5.1221337187017175,
        5.122154224470976,
        5.122175207118589,
        5.122195712887848,
        5.122216695535461,
        5.12223720130472,
        5.122258183952333,
        5.1222786897215915,
        5.122299672369205,
        5.122320655016819,
        5.1223411607860765,
        5.122361666555335,
        5.122382649202949,
        5.122403154972208,
        5.122424137619821,
        5.12244464338908,
        5.122465626036693,
        5.122486131805951,
        5.1225071144535645,
        5.122527620222823,
        5.122548602870436,
        5.122569108639695,
        5.122590091287309,
        5.122610597056567,
        5.122631579704181,
        5.122652085473439,
        5.122673068121053,
        5.122693573890311,
        5.12271407965957,
        5.122735062307183,
        5.122755568076442,
        5.122776550724055,
        5.122797056493313,
        5.122818039140927,
        5.122838544910185,
        5.122859050679444,
        5.122880033327057,
        5.122900539096316,
        5.12292152174393,
        5.122942027513188,
        5.122962533282447,
        5.12298351593006,
        5.123004021699319,
        5.123024527468577,
        5.1230455101161905,
        5.123066015885449,
        5.123086998533062,
        5.123107504302321,
        5.1231280100715795,
        5.123148992719193,
        5.123169498488451,
        5.12319000425771,
        5.123210986905323,
        5.123231492674582,
        5.12325199844384,
        5.1232729810914535,
        5.123293486860712,
        5.123313992629971,
        5.123334975277585,
        5.123355481046843,
        5.123375986816101,
        5.123396969463715,
        5.123417475232974,
        5.123437981002232,
        5.1234589636498455,
        5.123479469419104,
        5.123499975188363,
        5.123520957835976,
        5.1235414636052345,
        5.123561969374493,
        5.123582475143752,
        5.123603457791365,
        5.1236239635606236,
        5.123644469329882,
        5.123665451977495,
        5.123685957746754,
        5.1237064635160126,
        5.123726969285271,
        5.123747951932884,
        5.123768457702143,
        5.123788963471402,
        5.12380946924066,
        5.123830451888273,
        5.123850957657532,
        5.123871463426791,
        5.123891969196049,
        5.123912951843662,
        5.123933457612921,
        5.12395396338218,
        5.123974469151438,
        5.123994974920697,
        5.12401595756831,
        5.124036463337569,
        5.124056969106827,
        5.124077474876086,
        5.124098457523699,
        5.124118963292958,
        5.124139469062216,
        5.124159974831475,
        5.124180480600733,
        5.124200986369992,
        5.124221969017605,
        5.124242474786864,
        5.124262980556122,
        5.124283486325381,
        5.12430399209464,
        5.124324497863898,
        5.124345480511511,
        5.12436598628077,
        5.124386492050029,
        5.124406997819287,
        5.124427503588546,
        5.124448009357804,
        5.124468515127063,
        5.124489497774676,
        5.124510003543935,
        5.124530509313193,
        5.124551015082452,
        5.124571520851711,
        5.124592026620969,
        5.124612532390228,
        5.1246330381594865,
        5.1246540208071,
        5.124674526576358,
        5.124695032345617,
        5.1247155381148755,
        5.124736043884134,
        5.124756549653393,
        5.124777055422651,
        5.124797561191909,
        5.124818066961168,
        5.124838572730426,
        5.124859078499685,
        5.124879584268943,
        5.124900090038202,
        5.124921072685815,
        5.124941578455074,
        5.124962084224332,
        5.124982589993591,
        5.12500309576285,
        5.125023601532108,
        5.125044107301367,
        5.125064613070625,
        5.125085118839884,
        5.125105624609143,
        5.125126130378401,
        5.12514663614766,
        5.1251671419169185,
        5.125187647686177,
        5.125208153455436,
        5.125228659224693,
        5.125249164993952,
        5.125269670763211,
        5.125290176532469,
        5.125310682301728,
        5.125331188070986,
        5.125351693840245,
        5.125372199609504,
        5.125392705378762,
        5.125413211148021,
        5.125863384314999,
        5.125883890084258,
        5.125904395853516,
        5.125924901622775,
        5.125945407392034,
        5.125965913161292,
        5.125986418930551,
        5.1260069246998095,
        5.126026953590713,
        5.126047459359971,
        5.12606796512923,
        5.126088470898488,
        5.126108976667747,
        5.126129482437006,
        5.126149988206264,
        5.126170017097167,
        5.126190522866426,
        5.126211028635685,
        5.126231534404943,
        5.126252040174202,
        5.12627254594346,
        5.126292574834364,
        5.126313080603623,
        5.126333586372882,
        5.12635409214214,
        5.126394626802302,
        5.126415132571561,
        5.126435638340819,
        5.126456144110078,
        5.126476649879336,
        5.12649667877024,
        5.126517184539499,
        5.126537690308757,
        5.126558196078015,
        5.126578224968919,
        5.126598730738178,
        5.126619236507437,
        5.126639742276695,
        5.126659771167598,
        5.126680276936857,
        5.1267007827061155,
        5.126721288475374,
        5.126741317366278,
        5.126761823135537,
        5.126782328904795,
        5.126802834674054,
        5.126822863564957,
        5.126843369334216,
        5.126863875103474,
        5.126884380872733,
        5.126904409763637,
        5.1269249155328955,
        5.126945421302154,
        5.126965450193057,
        5.126985955962316,
        5.1270064617315745,
        5.1270264906224785,
        5.127046996391737,
        5.127067502160996,
        5.127088007930254,
        5.1271080368211575,
        5.127128542590416,
        5.127149048359675,
        5.127169077250579,
        5.127189583019837,
        5.127210088789096,
        5.127230117679999,
        5.127250623449258,
        5.127271129218516,
        5.12729115810942,
        5.127311663878679,
        5.127331692769582,
        5.127352198538841,
        5.127372704308099,
        5.127392733199003,
        5.127413238968262,
        5.1274337447375204,
        5.1274537736284245,
        5.127474279397682,
        5.127494308288586,
        5.127514814057845,
        5.127535319827103,
        5.1275553487180074,
        5.127575854487266,
        5.127595883378169,
        5.127616389147428,
        5.127636894916686,
        5.12765692380759,
        5.127677429576849,
        5.127697458467752,
        5.127717964237011,
        5.127738470006269,
        5.127758498897173,
        5.127779004666432,
        5.127799033557335,
        5.127819539326594,
        5.127839568217498,
        5.127860073986756,
        5.12788010287766,
        5.127900608646918,
        5.127920637537822,
        5.127941143307081,
        5.127961649076339,
        5.127981677967243,
        5.128002183736502,
        5.128022212627405,
        5.128042718396664,
        5.128062747287568,
        5.128083253056826,
        5.1281032819477295,
        5.128123787716988,
        5.128143816607892,
        5.128164322377151,
        5.128184351268055,
        5.128204857037312,
        5.128245391697475,
        5.128265420588379,
        5.128285926357638,
        5.128325984139445,
        5.1283464899087035,
        5.128407053459769,
        5.128427559229028,
        5.128447588119932,
        5.128508628549352,
        5.128528657440256,
        5.128548686331159,
        5.128569192100418,
        5.128589220991322,
        5.128609726760581,
        5.128629755651485,
        5.128649784542388,
        5.128670290311646,
        5.12869031920255,
        5.128710824971809,
        5.128730853862712,
        5.128750882753616,
        5.128771388522875,
        5.128791417413779,
        5.1288119231830365,
        5.1288319520739405,
        5.1288519809648445,
        5.128872486734103,
        5.128892515625006,
        5.12891254451591,
        5.128933050285169,
        5.128953079176073,
        5.1289735849453315,
        5.128993613836235,
        5.129013642727139,
        5.129034148496397,
        5.1290541773873,
        5.129074206278204,
        5.129094712047463,
        5.129114740938367,
        5.12913476982927,
        5.129155275598529,
        5.129175304489433,
        5.129195333380336,
        5.12921536227124,
        5.129235868040499,
        5.129255896931403,
        5.129275925822306,
        5.129296431591564,
        5.129316460482468,
        5.1293364893733715,
        5.12935699514263,
        5.129377024033534,
        5.129397052924438,
        5.129417081815341,
        5.1294375875846,
        5.129457616475504,
        5.129477645366408,
        5.129497674257311,
        5.12951818002657,
        5.129538208917474,
        5.129558237808377,
        5.129578266699281,
        5.1295987724685395,
        5.1296188013594435,
        5.129638830250347,
        5.129658859141251,
        5.129679364910509,
        5.129699393801412,
        5.129719422692316,
        5.12973945158322,
        5.129759957352479,
        5.129779986243382,
        5.129800015134286,
        5.12982004402519,
        5.129840072916093,
        5.129860578685352,
        5.129880607576256,
        5.129900636467159,
        5.129920665358063,
        5.129940694248967,
        5.129961200018226,
        5.129981228909129,
        5.130061344472744,
        5.130081850242003,
        5.130101879132906,
        5.13012190802381,
        5.130141936914714,
        5.130161965805617,
        5.130181994696521,
        5.130222529356684,
        5.130242558247587,
        5.130282616029395,
        5.130924494295023,
        5.13096455207683,
        5.131004609858637,
        5.131024638749541,
        5.131044667640444,
        5.1310646965313484,
        5.131104754313156,
        5.13112478320406,
        5.131144812094964,
        5.131164840985867,
        5.131184869876771,
        5.131204898767674,
        5.131224927658578,
        5.131244956549482,
        5.131264985440385,
        5.131285014331289,
        5.131304566343838,
        5.131324595234742,
        5.131344624125646,
        5.131364653016549,
        5.131384681907453,
        5.131404710798357,
        5.13142473968926,
        5.131444768580164,
        5.131464797471067,
        5.131484826361971,
        5.131504855252875,
        5.131524884143778,
        5.131544913034682,
        5.131564465047231,
        5.131584493938135,
        5.131604522829039,
        5.131624551719942,
        5.131644580610846,
        5.13166460950175,
        5.131684638392653,
        5.131704667283557,
        5.131724219296106,
        5.13174424818701,
        5.131764277077913,
        5.131784305968817,
        5.131804334859721,
        5.131824363750624,
        5.131844392641528,
        5.131863944654077,
        5.131883973544981,
        5.131904002435885,
        5.131924031326788,
        5.131944060217692,
        5.131964089108596,
        5.131983641121145,
        5.132003670012048,
        5.132023698902952,
        5.132043727793856,
        5.132063756684759,
        5.132083785575663,
        5.1321033375882115,
        5.1321233664791155,
        5.1321433953700195,
        5.132163424260923,
        5.132182976273472,
        5.132203005164375,
        5.132223034055279,
        5.132243062946183,
        5.132263091837086,
        5.132282643849636,
        5.132302672740539,
        5.132322701631443,
        5.132342730522346,
        5.132362282534896,
        5.132382311425799,
        5.132402340316703,
        5.132422369207607,
        5.132441921220155,
        5.132461950111059,
        5.1324819790019625,
        5.1325020078928665,
        5.132521559905415,
        5.132541588796319,
        5.132561617687223,
        5.132581169699772,
        5.132601198590676,
        5.132621227481579,
        5.132641256372483,
        5.132660808385031,
        5.132680837275935,
        5.1327008661668385,
        5.132720418179388,
        5.132740447070291,
        5.132760475961195,
        5.132780027973744,
        5.132800056864648,
        5.132820085755552,
        5.1328396377681,
        5.132859666659004,
        5.13291927645336,
        5.132939305344264,
        5.132958857356813,
        5.132978886247717,
        5.13299891513862,
        5.133018467151169,
        5.133038496042072,
        5.133058524932976,
        5.133078076945525,
        5.133098105836429,
        5.1331176578489774,
        5.1331376867398815,
        5.1331577156307855,
        5.133177267643334,
        5.133197296534238,
        5.133217325425141,
        5.133236877437691,
        5.133256906328594,
        5.133276458341143,
        5.133296487232046,
        5.133316039244596,
        5.133336068135499,
        5.133356097026403,
        5.1333756490389515,
        5.1333956779298555,
        5.133415229942404,
        5.133435258833308,
        5.133454810845857,
        5.133474839736761,
        5.133494868627664,
        5.133514420640213,
        5.133534449531116,
        5.133554001543666,
        5.133574030434569,
        5.133593582447118,
        5.1336136113380215,
        5.133633163350571,
        5.133653192241474,
        5.1336727442540235,
        5.133692773144927,
        5.133712325157476,
        5.133732354048379,
        5.133751906060929,
        5.133771934951832,
        5.133791486964381,
        5.133811515855284,
        5.133831067867834,
        5.133870648771286,
        5.1338906776621895,
        5.133910229674739,
        5.133930258565642,
        5.133949810578191,
        5.133989391481643,
        5.134009420372547,
        5.134028972385096,
        5.134049001276,
        5.134068553288548,
        5.134088582179452,
        5.13412768620455,
        5.1341477150954535,
        5.134167267108003,
        5.134187295998906,
        5.134226876902359,
        5.134265980927457,
        5.134286009818361,
        5.134325590721813,
        5.134345142734362,
        5.13436469474691,
        5.134384723637814,
        5.134404275650363,
        5.134424304541267,
        5.1344438565538155,
        5.134463408566365,
        5.1345029894698175,
        5.134523018360721,
        5.13454257037327,
        5.134562122385819,
        5.134582151276722,
        5.134601703289271,
        5.13462125530182,
        5.134641284192724,
        5.134680388217821,
        5.134700417108725,
        5.1347199691212735,
        5.134739521133823,
        5.134759550024726,
        5.1347791020372755,
        5.134798654049824,
        5.134818682940728,
        5.134936471894376,
        5.13495650078528,
        5.135015633701281,
        5.135054737726379,
        5.1350943186298315,
        5.13511387064238,
        5.135212107583479,
        5.135231659596028,
        5.135251688486932,
        5.135349925428031,
        5.135369477440579,
        5.135389029453129,
        5.135428610356581,
        5.135644636251328,
        5.144132355650126,
        5.154666836947941,
        5.154712140391651,
        5.154801793522363,
        5.154846620087719,
        5.154869033370397,
        5.1548914466530755,
        5.154936273218431,
        5.154958686501109,
        5.154981099783787,
        5.155070752914499,
        5.155093166197177,
        5.155115579479855,
        5.1551379927625325,
        5.15516040604521,
        5.155182819327888,
        5.155204755732211,
        5.155227169014889,
        5.155249582297568,
        5.155271995580246,
        5.155339235428279,
        5.155361648710957,
        5.155428888558991,
        5.155473715124347,
        5.155496128407025,
        5.155518541689703,
        5.155585304659382,
        5.15560771794206,
        5.155630131224738,
        5.155697371072772,
        5.155719784355449,
        5.155742197638127,
        5.1557641340424505,
        5.155786547325128,
        5.155808960607807,
        5.155831373890485,
        5.155853787173163,
        5.1558762004558405,
        5.155898613738518,
        5.155920550142842,
        5.155942963425519,
        5.155965376708197,
        5.155987789990875,
        5.156032616556232,
        5.156076966243233,
        5.1560993795259105,
        5.156121792808588,
        5.156144206091266,
        5.156166619373944,
        5.156188555778267,
        5.156210969060945,
        5.1562557956263015,
        5.15632255859598,
        5.156344971878658,
        5.156389321565659,
        5.156456561413693,
        5.156478974696371,
        5.156500911100694,
        5.156523324383372,
        5.1565457376660495,
        5.156568150948728,
        5.156612500635729,
        5.156657327201085,
        5.156679263605408,
        5.156701676888086,
        5.156724090170764,
        5.156746026575087,
        5.156768439857765,
        5.1568132664231205,
        5.156835202827444,
        5.156857616110122,
        5.156880029392799,
        5.156901965797123,
        5.1569243790798005,
        5.156946792362479,
        5.156968728766802,
        5.15699114204948,
        5.157013555332158,
        5.157035968614836,
        5.157057905019159,
        5.157080318301837,
        5.157102731584515,
        5.157169017675839,
        5.157436069554555,
        5.157547182211235,
        5.157569595493913,
        5.157635881585237,
        5.157680708150593,
        5.157702644554916,
        5.157725057837594,
        5.157746994241917,
        5.157791343928918,
        5.1578137572115965,
        5.157858106898598,
        5.157880520181275,
        5.157902456585599,
        5.1579248698682765,
        5.1579468062726,
        5.1579692195552775,
        5.158013569242279,
        5.158035505646601,
        5.15805791892928,
        5.158079855333602,
        5.158102268616281,
        5.158146618303282,
        5.158168554707604,
        5.158190967990283,
        5.158212904394605,
        5.158235317677284,
        5.158257254081606,
        5.158279667364285,
        5.158301603768607,
        5.158324017051286,
        5.158345953455608,
        5.158412716425288,
        5.158434652829611,
        5.158457066112288,
        5.158500938920935,
        5.158523352203613,
        5.158545288607936,
        5.158567701890614,
        5.158589638294937,
        5.158612051577615,
        5.158633987981938,
        5.158678337668939,
        5.158700274073262,
        5.15872268735594,
        5.158767037042941,
        5.1587889734472645,
        5.158810909851588,
        5.158833323134266,
        5.158855259538589,
        5.158877195942912,
        5.15889960922559,
        5.158921545629913,
        5.158943958912591,
        5.158965895316914,
        5.1589878317212365,
        5.159010245003915,
        5.159032181408238,
        5.159054117812561,
        5.159076531095239,
        5.159098467499562,
        5.15912088078224,
        5.159142817186563,
        5.159164753590886,
        5.159187166873564,
        5.159209103277887,
        5.1592310396822105,
        5.159253452964888,
        5.159275389369212,
        5.159297325773535,
        5.159319262177858,
        5.159341675460536,
        5.159363611864859,
        5.1593855482691815,
        5.15940796155186,
        5.159429897956183,
        5.159451834360506,
        5.159474247643184,
        5.159496184047507,
        5.15951812045183,
        5.159540056856153,
        5.159562470138831,
        5.159584406543154,
        5.159606342947478,
        5.1596287562301555,
        5.159650692634479,
        5.159672629038802,
        5.159694565443124,
        5.159716978725803,
        5.159738915130125,
        5.159760851534449,
        5.159782787938772,
        5.15980520122145,
        5.159827137625773,
        5.159849074030096,
        5.159871010434419,
        5.159892946838743,
        5.1599153601214205,
        5.159937296525744,
        5.159959232930066,
        5.159981169334389,
        5.160003582617067,
        5.16002551902139,
        5.160047455425714,
        5.160069391830037,
        5.16009132823436,
        5.160113741517038,
        5.160135677921361,
        5.160157614325684,
        5.160179550730007,
        5.16020148713433,
        5.160223423538653,
        5.160245836821331,
        5.160267773225654,
        5.160289709629978,
        5.160311646034301,
        5.160333582438624,
        5.160355518842946,
        5.160377932125625,
        5.160465677742917,
        5.16066358226018,
        5.160685518664503,
        5.160707455068826,
        5.160729391473149,
        5.160751804755827,
        5.16077374116015,
        5.160795677564473,
        5.1608176139687965,
        5.16083955037312,
        5.160861486777443,
        5.160883423181766,
        5.1609053595860885,
        5.160927295990412,
        5.160949232394735,
        5.160971168799058,
        5.1609931052033815,
        5.161015041607705,
        5.161036978012027,
        5.16105891441635,
        5.161080850820674,
        5.161102787224997,
        5.161125200507675,
        5.161147136911998,
        5.161169073316321,
        5.161191009720644,
        5.161212946124967,
        5.16123488252929,
        5.161256818933613,
        5.1612787553379365,
        5.16130069174226,
        5.161322628146583,
        5.161344564550906,
        5.1613665009552285,
        5.161388437359552,
        5.161410373763875,
        5.161432310168198,
        5.1614542465725215,
        5.161476182976845,
        5.1614976425028125,
        5.161519578907136,
        5.161541515311459,
        5.161563451715782,
        5.161585388120105,
        5.161607324524428,
        5.161629260928751,
        5.161651197333074,
        5.161673133737398,
        5.161695070141721,
        5.161717006546044,
        5.161738942950366,
        5.16176087935469,
        5.161804752163336,
        5.161826688567659,
        5.161848624971983,
        5.16187008449795,
        5.161892020902274,
        5.161913957306597,
        5.16193589371092,
        5.1619578301152425,
        5.161979766519566,
        5.162001702923889,
        5.162023639328212,
        5.162045575732535,
        5.162067035258503,
        5.162088971662826,
        5.16211090806715,
        5.162132844471473,
        5.162154780875796,
        5.162176717280119,
        5.162198653684442,
        5.16222011321041,
        5.162242049614734,
        5.162263986019057,
        5.162285922423379,
        5.162722742996422,
        5.162744679400745,
        5.162766615805069,
        5.16281001173536,
        5.162831948139683,
        5.162875344069974,
        5.162941153282944,
        5.162984549213235,
        5.163006485617558,
        5.163028422021881,
        5.16304988154785,
        5.163181023095433,
        5.163202482621402,
        5.163224419025725,
        5.163246355430048,
        5.163267814956016,
        5.163289751360339,
        5.163311687764662,
        5.16333314729063,
        5.163355083694953,
        5.163377020099277,
        5.163398479625245,
        5.163420416029568,
        5.163442352433891,
        5.1634638119598595,
        5.163485748364183,
        5.163507684768505,
        5.163529144294474,
        5.163551080698797,
        5.16357301710312,
        5.163594476629088,
        5.163616413033411,
        5.16363787255938,
        5.163659808963702,
        5.1636817453680255,
        5.163703204893994,
        5.163725141298317,
        5.163746600824285,
        5.163768537228608,
        5.163790473632932,
        5.163811933158899,
        5.163833869563223,
        5.163855329089191,
        5.163877265493515,
        5.163899201897837,
        5.163920661423806,
        5.163942597828129,
        5.163964057354097,
        5.16398599375842,
        5.1640074532843885,
        5.164029389688712,
        5.164051326093034,
        5.164072785619003,
        5.164094722023326,
        5.164116181549294,
        5.164138117953617,
        5.164159577479586,
        5.164181513883909,
        5.164202973409877,
        5.1642249098142,
        5.164246369340169,
        5.164268305744491,
        5.16428976527046,
        5.164311701674783,
        5.164333638079106,
        5.164355097605074,
        5.164377034009397,
        5.164398493535366,
        5.164420429939688,
        5.164441889465657,
        5.16446382586998,
        5.164485285395948,
        5.164506744921916,
        5.16452868132624,
        5.164550140852207,
        5.164572077256531,
        5.164593536782499,
        5.164615473186822,
        5.16463693271279,
        5.164658869117114,
        5.164680328643081,
        5.164702265047405,
        5.164723724573373,
        5.1647456609776965,
        5.164767120503664,
        5.164788580029633,
        5.164810516433956,
        5.164831975959924,
        5.164853912364247,
        5.164875371890215,
        5.164897308294538,
        5.164918767820507,
        5.164940227346475,
        5.164962163750798,
        5.1649836232767665,
        5.16500555968109,
        5.1650270192070575,
        5.165048478733026,
        5.165070415137349,
        5.165091874663317,
        5.1651138110676404,
        5.165135270593608,
        5.165156730119577,
        5.1651786665239,
        5.165200126049868,
        5.1652215855758365,
        5.16524352198016,
        5.165264981506128,
        5.165286917910451,
        5.1653083774364195,
        5.165329836962387,
        5.1653517733667105,
        5.165373232892679,
        5.165394692418647,
        5.16541662882297,
        5.165438088348939,
        5.165459547874907,
        5.16548148427923,
        5.165502943805198,
        5.165524403331166,
        5.1655463397354895,
        5.165567799261457,
        5.165589258787426,
        5.165610718313394,
        5.165632654717717,
        5.165654114243686,
        5.165675573769653,
        5.165697510173977,
        5.165718969699945,
        5.165740429225913,
        5.165761888751882,
        5.165783825156205,
        5.165805284682173,
        5.165826744208141,
        5.165848680612465,
        5.165870140138432,
        5.165891599664401,
        5.165913059190369,
        5.165934995594692,
        5.165956455120661,
        5.1659779146466285,
        5.165999374172597,
        5.16602131057692,
        5.166042770102888,
        5.166064229628857,
        5.166085689154825,
        5.166107148680793,
        5.1661290850851165,
        5.166150544611084,
        5.166172004137053,
        5.166193463663021,
        5.166214923188989,
        5.166236859593313,
        5.16625831911928,
        5.166279778645249,
        5.166301238171217,
        5.166322697697185,
        5.166344634101509,
        5.1663660936274765,
        5.166387553153445,
        5.166409012679413,
        5.1664304722053815,
        5.166451931731349,
        5.1664738681356726,
        5.166495327661641,
        5.166516787187609,
        5.166538246713578,
        5.166559706239545,
        5.166581165765514,
        5.166603102169837,
        5.166624561695805,
        5.166646021221774,
        5.1666674807477415,
        5.16668894027371,
        5.166710399799678,
        5.166731859325647,
        5.166753318851614,
        5.166775255255938,
        5.166796714781906,
        5.166818174307874,
        5.166839633833843,
        5.1668610933598105,
        5.166882552885779,
        5.166904012411747,
        5.166925471937716,
        5.166946931463684,
        5.166968390989652,
        5.166989850515621,
        5.167011310041588,
        5.167033246445912,
        5.16705470597188,
        5.167076165497848,
        5.167097625023817,
        5.1671190845497845,
        5.167140544075753,
        5.167162003601721,
        5.16718346312769,
        5.167204922653657,
        5.167226382179626,
        5.167247841705594,
        5.1672693012315625,
        5.167290760757531,
        5.167312220283499,
        5.167333679809468,
        5.167355139335435,
        5.167376598861404,
        5.167398058387372,
        5.16741951791334,
        5.167462436965277,
        5.167483896491245,
        5.167591194121086,
        5.167612653647055,
        5.167634113173023,
        5.167655572698991,
        5.167677032224959,
        5.167698491750928,
        5.167719951276895,
        5.167741410802864,
        5.167762870328832,
        5.1677843298548005,
        5.167805789380769,
        5.167827248906737,
        5.167848708432706,
        5.167869691080319,
        5.167891150606287,
        5.167912610132255,
        5.167934069658223,
        5.167955529184192,
        5.16797698871016,
        5.167998448236128,
        5.168019907762097,
        5.1680413672880645,
        5.168062826814033,
        5.168084286340001,
        5.168105268987614,
        5.168126728513583,
        5.1681481880395514,
        5.168169647565519,
        5.168191107091488,
        5.168212566617456,
        5.168234026143424,
        5.168255485669392,
        5.168276468317006,
        5.168297927842974,
        5.168319387368943,
        5.16834084689491,
        5.168362306420879,
        5.168383765946847,
        5.1684052254728154,
        5.168426208120429,
        5.168447667646397,
        5.168469127172365,
        5.168490586698334,
        5.1685120462243015,
        5.16853350575027,
        5.168554488397883,
        5.168575947923851,
        5.16859740744982,
        5.168618866975788,
        5.168640326501756,
        5.168661309149369,
        5.168682768675338,
        5.168704228201306,
        5.1687256877272745,
        5.168747147253243,
        5.168768129900856,
        5.168789589426824,
        5.168811048952793,
        5.1688325084787605,
        5.168853491126375,
        5.168874950652342,
        5.168896410178311,
        5.168917869704279,
        5.168938852351892,
        5.168960311877861,
        5.168981771403829,
        5.169003230929797,
        5.16902421357741,
        5.169045673103379,
        5.169067132629347,
        5.169088592155315,
        5.1691095748029285,
        5.169131034328897,
        5.169152493854865,
        5.169173476502479,
        5.169194936028447,
        5.1692163955544155,
        5.169237855080383,
        5.169258837727996,
        5.169280297253965,
        5.169301756779933,
        5.169322739427547,
        5.169344198953515,
        5.169365658479483,
        5.169386641127097,
        5.169408100653065,
        5.169429560179033,
        5.169450542826646,
        5.169472002352615,
        5.169493461878583,
        5.169514444526197,
        5.1695359040521645,
        5.169557363578133,
        5.169578346225746,
        5.169599805751715,
        5.169621265277683,
        5.169642247925296,
        5.169663707451265,
        5.169685166977232,
        5.169706149624846,
        5.169727609150814,
        5.169748591798427,
        5.169770051324396,
        5.169791510850365,
        5.169812493497978,
        5.169833953023946,
        5.16985493567156,
        5.1698763951975275,
        5.169897854723496,
        5.169918837371109,
        5.169940296897077,
        5.169961279544691,
        5.169982739070659,
        5.170004198596628,
        5.170025181244241,
        5.170046640770209,
        5.170067623417823,
        5.17008908294379,
        5.1701100655914045,
        5.170131525117372,
        5.1701525077649855,
        5.170173967290954,
        5.170195426816922,
        5.170216409464536,
        5.170237868990504,
        5.170258851638117,
        5.170280311164086,
        5.170301293811699,
        5.170322753337667,
        5.170343735985281,
        5.170365195511248,
        5.1703861781588625,
        5.17040763768483,
        5.170428620332444,
        5.170450079858412,
        5.170471062506025,
        5.170513504679607,
        5.170534964205576,
        5.170577406379157,
        5.170598389026771,
        5.170619848552739,
        5.170640831200352,
        5.170683273373934,
        5.170704256021547,
        5.1707257155475155,
        5.170746698195129,
        5.170768157721097,
        5.1707891403687105,
        5.170810599894679,
        5.170831582542292,
        5.17085304206826,
        5.170874024715874,
        5.170895007363487,
        5.170916466889455,
        5.170937449537069,
        5.170958909063037,
        5.17097989171065,
        5.171000874358264,
        5.171043316531845,
        5.171149183526622,
        5.171170643052591,
        5.171191625700204,
        5.171212608347817,
        5.171234067873786,
        5.171255050521399,
        5.171276033169012,
        5.171318475342594,
        5.171339457990207,
        5.171360917516176,
        5.171381900163789,
        5.171402882811402,
        5.171424342337371,
        5.171466307632597,
        5.171529732453792,
        5.171551191979761,
        5.171656582096182,
        5.171720006917377,
        5.1717409895649915,
        5.1717834317385725,
        5.1718044143861865,
        5.1718253970338,
        5.1718468565597675,
        5.171931264028577,
        5.17296990508544,
        5.1757844411357645,
        5.175805423783378,
        5.176345250081068,
        5.176407244267199,
        5.176531709517815,
        5.176552692165428,
        5.176573197934687,
        5.176593703703945,
        5.1766146863515585,
        5.176635192120817,
        5.17665617476843,
        5.176676680537689,
        5.176697663185302,
        5.176718168954561,
        5.176738674723819,
        5.1767596573714325,
        5.176780163140691,
        5.176801145788305,
        5.176821651557563,
        5.176842634205177,
        5.176863139974436,
        5.176883645743694,
        5.176904628391307,
        5.176925134160566,
        5.176945639929825,
        5.176966622577438,
        5.176987128346696,
        5.17700811099431,
        5.177028616763568,
        5.177049122532827,
        5.17707010518044,
        5.177090610949699,
        5.177111116718957,
        5.17713209936657,
        5.177152605135829,
        5.177173110905088,
        5.177194093552702,
        5.177214599321959,
        5.1772355819695735,
        5.177256087738832,
        5.177276593508091,
        5.177297099277349,
        5.1773180819249625,
        5.177338587694221,
        5.17735909346348,
        5.177380076111093,
        5.1774005818803515,
        5.17742108764961,
        5.177442070297223,
        5.177462576066482,
        5.1774830818357405,
        5.177504064483354,
        5.177524570252612,
        5.177545076021871,
        5.1775655817911295,
        5.177586564438743,
        5.177607070208001,
        5.17762757597726,
        5.1776480817465185,
        5.177669064394132,
        5.17768957016339,
        5.177710075932649,
        5.1777305817019075,
        5.177751564349521,
        5.177772070118779,
        5.177792575888038,
        5.1778130816572965,
        5.17783406430491,
        5.177854570074168,
        5.177875075843427,
        5.177916087381944,
        5.177937070029557,
        5.177957575798816,
        5.1779780815680745,
        5.177998587337333,
        5.178019569984946,
        5.178040075754205,
        5.1780605815234635,
        5.178081087292722,
        5.178101593061981,
        5.178122098831239,
        5.1781430814788525,
        5.178163587248111,
        5.17818409301737,
        5.178204598786628,
        5.178225104555887,
        5.1782456103251455,
        5.178266592972759,
        5.178287098742017,
        5.178307604511276,
        5.1783281102805345,
        5.178348616049793,
        5.178369121819052,
        5.17838962758831,
        5.1784106102359235,
        5.178431116005182,
        5.178451621774441,
        5.178472127543699,
        5.178492633312958,
        5.1785131390822166,
        5.178533644851475,
        5.178554150620734,
        5.178574656389992,
        5.178595639037606,
        5.178616144806864,
        5.178636650576123,
        5.178657156345381,
        5.17867766211464,
        5.178698167883899,
        5.178718673653157,
        5.178739179422415,
        5.1787596851916735,
        5.178780190960932,
        5.178800696730191,
        5.178821202499449,
        5.178841708268708,
        5.1788622140379665,
        5.17888319668558,
        5.178903702454838,
        5.178924208224097,
        5.1789447139933555,
        5.178965219762614,
        5.178985725531873,
        5.179006231301131,
        5.17902673707039,
        5.179047242839649,
        5.179067748608907,
        5.179088254378166,
        5.179108760147424,
        5.179129265916683,
        5.179149771685942,
        5.179170277455199,
        5.179190783224458,
        5.1792112889937165,
        5.179231794762975,
        5.179252300532234,
        5.179272806301492,
        5.179293312070751,
        5.1793138178400095,
        5.179334323609268,
        5.179354829378527,
        5.179374858269431,
        5.179395364038689,
        5.179415869807947,
        5.179436375577206,
        5.179456881346464,
        5.179477387115723,
        5.1794978928849815,
        5.17951839865424,
        5.179538904423499,
        5.179559410192757,
        5.179579915962016,
        5.1796004217312746,
        5.179620927500533,
        5.179641433269792,
        5.17966193903905,
        5.1796819679299535,
        5.179702473699212,
        5.179722979468471,
        5.179743485237729,
        5.1797844967762465,
        5.179805002545505,
        5.179845537205668,
        5.179866042974926,
        5.179886548744184,
        5.179907054513443,
        5.179927560282701,
        5.17994806605196,
        5.1799685718212185,
        5.179989077590477,
        5.180009106481381,
        5.18002961225064,
        5.180050118019898,
        5.180070623789157,
        5.1800911295584156,
        5.180111635327673,
        5.180131664218577,
        5.180152169987836,
        5.1801726757570945,
        5.180193181526353,
        5.180213687295612,
        5.180233716186516,
        5.1802542219557735,
        5.180274727725032,
        5.180295233494291,
        5.180315739263549,
        5.180335768154453,
        5.180356273923712,
        5.1803767796929705,
        5.180397285462229,
        5.180417314353132,
        5.180437820122391,
        5.1804583258916495,
        5.180478831660908,
        5.180499337430167,
        5.180519366321071,
        5.180539872090329,
        5.180560377859588,
        5.1805808836288465,
        5.18060091251975,
        5.180621418289008,
        5.180641924058267,
        5.180661952949171,
        5.1806824587184295,
        5.180702964487688,
        5.180723470256947,
        5.18074349914785,
        5.180764004917108,
        5.180784510686367,
        5.180804539577271,
        5.18082504534653,
        5.180845551115788,
        5.180866056885047,
        5.18088608577595,
        5.180906591545209,
        5.180927097314467,
        5.180947126205371,
        5.18096763197463,
        5.1809881377438884,
        5.181008166634792,
        5.18102867240405,
        5.181049178173309,
        5.181069207064213,
        5.181089712833471,
        5.18111021860273,
        5.181130247493633,
        5.181150753262892,
        5.181170782153796,
        5.181191287923054,
        5.181211793692313,
        5.181231822583216,
        5.181252328352475,
        5.181272834121733,
        5.181292863012637,
        5.181313368781896,
        5.181333397672799,
        5.181353903442058,
        5.181374409211316,
        5.18139443810222,
        5.181414943871479,
        5.181434972762382,
        5.181455478531641,
        5.181475984300899,
        5.181496013191803,
        5.181516518961062,
        5.181536547851966,
        5.1815570536212245,
        5.181577082512128,
        5.181597588281386,
        5.181618094050645,
        5.181638122941549,
        5.1816586287108075,
        5.181678657601711,
        5.181699163370969,
        5.181719192261873,
        5.181739698031132,
        5.181759726922035,
        5.181780232691294,
        5.181800261582198,
        5.181820767351456,
        5.18184079624236,
        5.181861302011619,
        5.181881330902522,
        5.181901836671781,
        5.181921865562685,
        5.181942371331943,
        5.181962400222846,
        5.181982905992105,
        5.182002934883009,
        5.182023440652268,
        5.182043469543171,
        5.182063975312429,
        5.182084004203333,
        5.182104509972592,
        5.182124538863496,
        5.182145044632755,
        5.182165073523658,
        5.182185579292916,
        5.18220560818382,
        5.182226113953079,
        5.182246142843982,
        5.182266171734886,
        5.182286677504145,
        5.182306706395049,
        5.1823272121643065,
        5.1823472410552105,
        5.182367746824469,
        5.182387775715373,
        5.182407804606276,
        5.182428310375535,
        5.182448339266439,
        5.1824688450356975,
        5.182508902817505,
        5.182529408586763,
        5.182549437477667,
        5.182569943246926,
        5.182589972137829,
        5.182610001028733,
        5.182630506797992,
        5.182650535688896,
        5.182671041458153,
        5.182691070349057,
        5.182711099239961,
        5.18273160500922,
        5.182751633900123,
        5.182771662791027,
        5.182792168560286,
        5.18281219745119,
        5.182832226342093,
        5.182852732111352,
        5.182872761002256,
        5.182892789893159,
        5.182913295662417,
        5.182933324553321,
        5.182953353444225,
        5.182973859213484,
        5.182993888104387,
        5.183013916995291,
        5.183033945886194,
        5.183054451655453,
        5.183074480546357,
        5.1831150152065195,
        5.183135044097423,
        5.183155072988327,
        5.183175101879231,
        5.183195607648488,
        5.183215636539392,
        5.1832356654302965,
        5.183256171199555,
        5.183276200090458,
        5.183296228981362,
        5.183316257872266,
        5.183336763641525,
        5.183356792532428,
        5.183376821423332,
        5.183396850314235,
        5.183417356083494,
        5.183437384974398,
        5.183457413865302,
        5.183598092979982,
        5.1836386276401445,
        5.1836586565310485,
        5.183678685421952,
        5.183698714312856,
        5.183719220082114,
        5.183739248973017,
        5.183759277863921,
        5.1837793067548255,
        5.183799335645729,
        5.183819364536633,
        5.183839870305891,
        5.183859899196795,
        5.183879928087698,
        5.183899956978602,
        5.183919985869506,
        5.1839400147604096,
        5.183960043651314,
        5.183980549420572,
        5.184000578311475,
        5.184020607202379,
        5.184040636093283,
        5.1840606649841865,
        5.1840806938750905,
        5.1841007227659945,
        5.184120751656898,
        5.184140780547802,
        5.18416128631706,
        5.184181315207963,
        5.1842013440988675,
        5.1842213729897715,
        5.184241401880675,
        5.184261430771579,
        5.184281459662483,
        5.184301488553386,
        5.18432151744429,
        5.184341546335194,
        5.184361575226097,
        5.184381604117001,
        5.184401633007904,
        5.184421661898808,
        5.184441690789712,
        5.184462196558971,
        5.184482225449874,
        5.184502254340778,
        5.184522283231682,
        5.184542312122585,
        5.184562341013489,
        5.184582369904392,
        5.184602398795296,
        5.1846224276862,
        5.184642456577103,
        5.1846624854680075,
        5.1846825143589115,
        5.184702543249815,
        5.184722572140719,
        5.184742601031623,
        5.184762629922526,
        5.18478265881343,
        5.184802687704334,
        5.184822716595237,
        5.184842745486141,
        5.184862774377044,
        5.184882803267948,
        5.184902832158852,
        5.184922384171401,
        5.184942413062305,
        5.184962441953208,
        5.184982470844112,
        5.185002499735016,
        5.185022528625919,
        5.185042557516823,
        5.185062586407727,
        5.18508261529863,
        5.185102644189534,
        5.185122673080437,
        5.185142701971341,
        5.185162730862245,
        5.185182759753149,
        5.185202311765698,
        5.185222340656601,
        5.185242369547505,
        5.185262398438409,
        5.185282427329312,
        5.185302456220216,
        5.18532248511112,
        5.1853425140020235,
        5.1853625428929275,
        5.185382094905476,
        5.18540212379638,
        5.185422152687283,
        5.185442181578187,
        5.185462210469091,
        5.185482239359994,
        5.185502268250898,
        5.185521820263447,
        5.185541849154351,
        5.185561878045255,
        5.185581906936158,
        5.185601935827062,
        5.185621964717965,
        5.185641516730515,
        5.185661545621418,
        5.185681574512322,
        5.185701603403226,
        5.185721632294129,
        5.185741661185033,
        5.185761213197582,
        5.185781242088486,
        5.18580127097939,
        5.185821299870293,
        5.185841328761197,
        5.185860880773745,
        5.185880909664649,
        5.1859009385555535,
        5.185920967446457,
        5.185940519459005,
        5.185960548349909,
        5.185980577240813,
        5.186000606131716,
        5.186020158144266,
        5.186040187035169,
        5.186060215926073,
        5.186080244816977,
        5.1860997968295255,
        5.1861198257204295,
        5.186139854611333,
        5.186159883502237,
        5.186179435514785,
        5.186199464405689,
        5.186219493296593,
        5.186239522187496,
        5.186259074200045,
        5.186279103090949,
        5.186299131981853,
        5.1863186839944015,
        5.186338712885306,
        5.186358741776209,
        5.186378293788758,
        5.186398322679661,
        5.186418351570565,
        5.186437903583114,
        5.186457932474018,
        5.186477961364922,
        5.1864975133774704,
        5.1865175422683745,
        5.186537571159278,
        5.186557123171827,
        5.18657715206273,
        5.186597180953634,
        5.186616732966183,
        5.186636761857087,
        5.18665679074799,
        5.186676342760539,
        5.1866963716514425,
        5.1867164005423465,
        5.186735952554895,
        5.186755981445799,
        5.186775533458348,
        5.186815591240156,
        5.186855172143608,
        5.186874724156157,
        5.186894753047061,
        5.186914781937964,
        5.186934333950513,
        5.1869543628414165,
        5.186973914853966,
        5.186993943744869,
        5.187013972635773,
        5.187033524648322,
        5.187053553539226,
        5.187093134442678,
        5.187112686455227,
        5.187152267358679,
        5.187172296249583,
        5.187191848262132,
        5.187231906043939,
        5.187251458056489,
        5.187291038959941,
        5.187311067850844,
        5.187825142717373,
        5.187844694729922,
        5.187923856536827,
        5.187943408549375,
        5.187963437440279,
        5.18804212236883,
        5.1880616743813786,
        5.188081703272283,
        5.188101255284831,
        5.188121284175735,
        5.188140836188284,
        5.188180417091736,
        5.188199969104285,
        5.188219521116834,
        5.188239550007737,
        5.188259102020286,
        5.1882986829237385,
        5.188318234936288,
        5.1883377869488365,
        5.188377367852289,
        5.188396919864838,
        5.188416948755742,
        5.18843650076829,
        5.18845605278084,
        5.188476081671743,
        5.188495633684292,
        5.188515185696841,
        5.188534737709389,
        5.188554766600293,
        5.188574318612842,
        5.188593870625391,
        5.188692584444845,
        5.188712136457394,
        5.188751240482492,
        5.188771269373396,
        5.188790821385944,
        5.188810373398493,
        5.188829925411042,
        5.188889058327043,
        5.188967743255594,
        5.188987295268142,
        5.189006847280691,
        5.18902639929324,
        5.1890464281841435,
        5.189065980196693,
        5.1890855322092415,
        5.18910508422179,
        5.189144188246888,
        5.189183769150341,
        5.189203321162889,
        5.189222873175439,
        5.189242425187987,
        5.189321110116538,
        5.189340662129086,
        5.189379766154184,
        5.189399318166733,
        5.189418870179281,
        5.189438899070185,
        5.189458451082734,
        5.189478003095283,
        5.1895171071203805,
        5.18953665913293,
        5.189575763158027,
        5.1895953151705765,
        5.189614867183125,
        5.189634896074029,
        5.189674000099126,
        5.189693552111676,
        5.189810864186969,
        5.189830416199517,
        5.189849968212066,
        5.189869520224615,
        5.189908624249712,
        5.18994772827481,
        5.189967280287359,
        5.190006384312457,
        5.190045488337555,
        5.190455603722726,
        5.205346607231272,
        5.222253852424125,
        5.22231823100203,
        5.222425528631871,
        5.222597204839618,
        5.222919097729141,
        5.22324051374031,
        5.224116539278169,
        5.224137998804138,
        5.224180917856074,
        5.224266279081593,
        5.224436524654274,
        5.224457984180242,
        5.2261785612845415,
        5.226220526579768,
        5.226326393574545,
        5.2263478531005125,
        5.226495685390517,
        5.226559110211712,
        5.226601552385293,
        5.226664977206488,
        5.226685959854102,
        5.22677036732291,
        5.226812809496492,
        5.226833792144105,
        5.226854774791718,
        5.226960641786495,
        5.227045049255303,
        5.227066031902917,
        5.227192404666952,
        5.227255829488147,
        5.227276812135761,
        5.22742416754741,
        5.227445627073378,
        5.227466609720991,
        5.227529557663831,
        5.227571999837413,
        5.22767691307548,
        5.228160467727298,
        5.228244875196106,
        5.2284547016722405,
        5.228475684319854,
        5.2285805975579205,
        5.228643068622406,
        5.229563920725622,
        5.229626868668461,
        5.229689339732947,
        5.229981189286115,
        5.230002171933728,
        5.230023154581342,
        5.2300856256458275,
        5.2301690793579265,
        5.230273038839283,
        5.230356492551382,
        5.2303774751989955,
        5.231353645191374,
        5.231519598858862,
        5.23154010462812
    ],
    "flux": [
        0.726222,
        0.632213,
        0.592146,
        0.582898,
        0.554021,
        0.557513,
        0.765303,
        0.706773,
        0.551996,
        0.650461,
        1.17293,
        1.00909,
        1.17977,
        1.25436,
        1.1189,
        1.17696,
        1.15374,
        1.20096,
        1.08964,
        0.920511,
        0.905837,
        0.910731,
        1.08322,
        0.901097,
        0.755542,
        0.639142,
        0.613999,
        0.629842,
        0.612161,
        0.795487,
        0.852216,
        0.825434,
        1.05524,
        0.612099,
        0.796731,
        0.692706,
        0.640698,
        0.463797,
        0.507424,
        0.63124,
        0.704644,
        0.791925,
        0.741067,
        0.547543,
        0.53962,
        0.683145,
        0.729454,
        0.626403,
        0.621321,
        0.581555,
        0.574054,
        0.72878,
        0.860636,
        0.688592,
        0.609291,
        0.743518,
        0.769138,
        0.649258,
        0.758574,
        0.698115,
        0.937681,
        0.726478,
        0.707866,
        0.623743,
        0.570206,
        0.755845,
        0.620656,
        0.592537,
        0.659643,
        0.622452,
        0.563775,
        0.568689,
        0.629941,
        0.596881,
        0.573645,
        0.503084,
        0.61172,
        0.749713,
        0.653963,
        0.65349,
        0.790546,
        0.547023,
        0.549421,
        0.520649,
        0.488042,
        0.735838,
        0.697722,
        0.387956,
        0.484075,
        0.538286,
        0.839473,
        0.627267,
        0.622172,
        0.703429,
        0.573751,
        0.528488,
        0.534513,
        0.547423,
        0.493426,
        0.508556,
        0.484035,
        0.50434,
        0.622882,
        0.801333,
        0.666482,
        0.747955,
        0.647083,
        0.708916,
        0.650245,
        0.581834,
        0.663288,
        0.790688,
        0.730106,
        0.710441,
        0.773,
        0.875726,
        0.736133,
        0.773208,
        0.869166,
        0.911619,
        0.797643,
        0.774775,
        0.769961,
        0.824904,
        0.932285,
        0.915183,
        0.78057,
        0.83765,
        0.901341,
        1.00612,
        1.088,
        1.13379,
        1.01416,
        1.0285,
        1.24163,
        0.969429,
        1.0248,
        0.880628,
        0.856096,
        0.790849,
        1.2588,
        0.772466,
        0.764671,
        0.741477,
        0.505739,
        0.788238,
        0.805174,
        0.554966,
        0.535534,
        0.640714,
        0.602518,
        0.653555,
        0.698545,
        0.743138,
        0.696222,
        0.630042,
        0.562398,
        0.513441,
        0.596617,
        0.826011,
        0.608628,
        0.495535,
        0.726929,
        0.646756,
        0.705636,
        0.597463,
        0.669485,
        0.707305,
        0.560494,
        0.58345,
        0.709975,
        0.711033,
        0.584269,
        0.528841,
        0.710914,
        0.554014,
        0.699096,
        0.597983,
        0.5892,
        0.609648,
        0.776822,
        0.639875,
        0.779194,
        0.456801,
        0.587878,
        0.462394,
        0.658324,
        0.628792,
        0.57374,
        0.488498,
        0.561441,
        0.467683,
        0.322088,
        0.531325,
        0.627358,
        0.621596,
        0.454869,
        0.505508,
        0.56972,
        0.638483,
        0.648175,
        0.629341,
        0.531228,
        0.38048,
        0.494541,
        0.446493,
        0.466244,
        0.525035,
        0.401944,
        0.584575,
        0.545848,
        0.564827,
        0.401102,
        0.338064,
        0.359184,
        0.448112,
        0.460876,
        0.434367,
        0.444968,
        0.544781,
        0.50875,
        0.440637,
        0.449432,
        1.06948,
        0.873622,
        0.712577,
        0.53123,
        0.553568,
        0.499515,
        0.591121,
        0.401486,
        0.39745,
        0.462234,
        0.537413,
        0.53074,
        0.540451,
        0.572009,
        0.549751,
        0.610027,
        0.519934,
        0.42477,
        0.470189,
        0.603261,
        0.578074,
        0.645582,
        0.417497,
        0.454612,
        0.407669,
        0.472652,
        0.538758,
        0.519644,
        0.646497,
        0.47511,
        0.472962,
        0.600496,
        0.786169,
        0.774511,
        0.516929,
        0.492223,
        0.576666,
        0.672231,
        0.559588,
        0.793319,
        0.702382,
        0.691806,
        0.828621,
        0.62169,
        0.777965,
        1.27423,
        0.733692,
        0.772443,
        1.10641,
        1.08419,
        0.929691,
        0.639057,
        0.676657,
        0.641858,
        0.659611,
        0.598457,
        0.666722,
        0.789749,
        0.782441,
        0.621389,
        0.731243,
        0.831518,
        0.877691,
        0.677065,
        0.764766,
        0.647675,
        0.602949,
        0.876511,
        0.736849,
        0.529098,
        0.51097,
        0.544601,
        0.677259,
        0.575441,
        0.480178,
        0.602066,
        0.683826,
        0.533256,
        0.585898,
        0.607011,
        0.418842,
        0.552945,
        0.65946,
        0.638929,
        0.916441,
        0.610692,
        0.654783,
        0.576056,
        0.604018,
        0.513237,
        0.548584,
        0.407164,
        0.463419,
        0.591128,
        0.719042,
        0.663682,
        0.652298,
        0.719743,
        0.590833,
        0.612184,
        0.660169,
        0.632563,
        0.495682,
        0.652889,
        0.727947,
        0.494272,
        0.526383,
        0.545433,
        0.567826,
        0.618333,
        0.483382,
        0.489176,
        0.480094,
        0.538364,
        0.524025,
        0.570847,
        0.587619,
        0.531123,
        0.541335,
        0.472508,
        0.492897,
        0.573908,
        0.543624,
        0.54281,
        0.923364,
        0.798437,
        0.605434,
        0.61919,
        0.656368,
        0.714457,
        0.644483,
        0.550769,
        0.514194,
        0.5929,
        0.627468,
        0.745328,
        0.598627,
        0.492959,
        0.611385,
        0.622985,
        0.648104,
        0.590972,
        0.57125,
        0.585011,
        0.558911,
        0.577855,
        0.596842,
        0.568047,
        0.459138,
        0.526721,
        0.429944,
        0.593428,
        0.655029,
        0.729091,
        0.746747,
        0.69169,
        0.672059,
        0.696588,
        0.40073,
        0.509405,
        0.650773,
        0.61044,
        0.573505,
        0.468798,
        0.623909,
        0.434368,
        0.465137,
        0.5497,
        0.700946,
        0.745718,
        0.58365,
        0.596279,
        0.709296,
        0.641053,
        0.689943,
        1.89484,
        1.58108,
        0.860041,
        1.10806,
        1.11928,
        0.741105,
        0.615854,
        0.754429,
        0.768075,
        0.765512,
        0.76708,
        0.732327,
        0.672874,
        0.789999,
        0.641641,
        0.642939,
        0.67151,
        0.60852,
        0.526755,
        0.56633,
        0.591954,
        0.627813,
        0.510962,
        0.504806,
        0.506777,
        0.588066,
        0.574586,
        0.602915,
        0.685635,
        0.646624,
        0.810836,
        0.65299,
        1.43701,
        0.8894,
        0.679043,
        0.516095,
        0.720841,
        0.446816,
        0.482369,
        0.577277,
        0.574726,
        0.474174,
        0.661593,
        0.503045,
        0.649837,
        0.573626,
        0.585835,
        0.707297,
        0.758392,
        0.640323,
        0.460535,
        0.685485,
        0.559834,
        0.953951,
        0.712988,
        0.855772,
        0.701257,
        0.64838,
        0.659121,
        0.634086,
        0.539203,
        0.47447,
        0.692948,
        0.784458,
        0.467288,
        0.429403,
        0.436405,
        0.455962,
        0.481109,
        0.762383,
        0.716724,
        0.4851,
        0.445541,
        0.573148,
        0.732355,
        0.64718,
        0.53114,
        0.598556,
        0.662058,
        0.514199,
        0.523096,
        0.616176,
        0.552104,
        0.470241,
        0.486372,
        0.544472,
        0.556773,
        0.571752,
        0.609738,
        0.559436,
        0.592735,
        0.562853,
        0.585147,
        0.556858,
        0.58892,
        0.521835,
        0.599331,
        0.503375,
        0.548468,
        0.597839,
        0.600035,
        0.554036,
        0.596956,
        0.619543,
        0.589878,
        0.495696,
        0.571468,
        0.416667,
        0.323075,
        0.551971,
        0.546958,
        0.636068,
        0.545608,
        0.672362,
        0.585724,
        0.547157,
        0.621265,
        0.619031,
        0.779402,
        1.00781,
        0.63506,
        0.590305,
        0.624564,
        0.510092,
        0.523722,
        0.578529,
        0.537905,
        0.62256,
        0.624467,
        0.632043,
        0.654472,
        0.656364,
        0.755395,
        0.559496,
        0.640614,
        0.567015,
        0.551337,
        0.610399,
        0.583095,
        0.612982,
        0.550523,
        0.463921,
        0.512415,
        0.471322,
        0.53328,
        0.436783,
        0.54877,
        0.536164,
        0.473726,
        0.563952,
        0.498596,
        0.513013,
        0.578698,
        0.589391,
        0.533457,
        0.627035,
        0.565652,
        0.550196,
        0.494697,
        0.467568,
        0.47873,
        0.514533,
        0.482542,
        0.619863,
        0.650604,
        0.51315,
        0.628913,
        0.674617,
        0.518397,
        0.569188,
        0.591113,
        0.627412,
        0.658253,
        0.495176,
        0.578042,
        0.483897,
        0.60248,
        0.616136,
        0.55588,
        0.601523,
        0.590865,
        0.6976,
        0.488519,
        0.580091,
        0.669982,
        0.911108,
        1.03865,
        0.76493,
        0.712944,
        0.54368,
        0.706531,
        0.526404,
        0.403372,
        0.534581,
        0.81392,
        0.681055,
        0.655596,
        0.859035,
        0.837192,
        0.644658,
        0.802135,
        0.968533,
        0.862864,
        0.850727,
        0.754775,
        0.915042,
        0.857708,
        0.881457,
        0.866244,
        0.602474,
        0.770384,
        0.99522,
        0.793492,
        0.784087,
        0.880964,
        1.20945,
        1.1553,
        1.23148,
        1.45057,
        0.843966,
        1.04679,
        1.33231,
        1.2198,
        1.30801,
        1.0718,
        1.11792,
        0.910685,
        0.886945,
        0.905922,
        0.87599,
        0.807815,
        0.737794,
        0.779143,
        0.729658,
        0.654525,
        0.778265,
        0.737653,
        0.665899,
        0.496956,
        0.663235,
        0.511391,
        0.540607,
        0.681089,
        0.414548,
        0.473273,
        0.512924,
        0.463294,
        0.638174,
        0.758321,
        0.90587,
        1.07624,
        0.814911,
        0.765632,
        0.694122,
        0.439606,
        0.543498,
        0.676672,
        0.749527,
        0.767929,
        0.66794,
        0.531767,
        0.765876,
        0.689541,
        0.752701,
        0.691682,
        0.572591,
        0.508471,
        0.569965,
        0.541837,
        0.575809,
        0.313797,
        0.586085,
        0.606092,
        0.464188,
        0.477043,
        0.619753,
        0.701684,
        0.683632,
        0.541344,
        0.511375,
        0.70806,
        0.634704,
        0.629574,
        0.601118,
        0.554489,
        0.518556,
        0.559258,
        0.619317,
        0.5503,
        0.515929,
        0.522522,
        0.578583,
        0.573778,
        0.485673,
        0.482426,
        0.705036,
        0.659261,
        0.604679,
        0.446563,
        0.497368,
        0.611957,
        0.554823,
        0.465909,
        0.383758,
        0.491051,
        0.756916,
        0.579897,
        0.754191,
        0.65028,
        0.728066,
        0.517227,
        0.636338,
        0.631178,
        0.495298,
        0.67728,
        0.472935,
        0.570923,
        0.529221,
        0.415915,
        0.40005,
        0.597034,
        0.55583,
        0.55296,
        0.488062,
        0.569408,
        0.560829,
        0.48178,
        0.451097,
        0.347716,
        0.457616,
        0.504738,
        0.442418,
        0.559819,
        0.480325,
        0.674518,
        0.644374,
        0.592825,
        0.599304,
        0.566053,
        0.567925,
        0.717967,
        0.487481,
        0.539048,
        0.488995,
        0.549331,
        0.545501,
        0.318269,
        0.529142,
        0.637016,
        0.462906,
        0.425836,
        0.491091,
        0.518615,
        2.41842,
        0.913857,
        0.796657,
        0.843378,
        0.660007,
        0.516825,
        0.516926,
        0.486436,
        0.485062,
        0.627468,
        0.456717,
        0.500398,
        0.665162,
        0.59506,
        0.623111,
        1.01326,
        1.10176,
        0.626152,
        0.783061,
        0.510827,
        0.786991,
        0.767281,
        0.524297,
        0.742658,
        0.674169,
        0.5651,
        0.550307,
        0.689185,
        0.697554,
        0.719396,
        0.604332,
        0.578334,
        0.572677,
        0.631121,
        0.767014,
        0.611735,
        0.576522,
        0.614875,
        0.634366,
        0.685334,
        0.771433,
        0.744128,
        0.729402,
        0.852096,
        0.757894,
        0.712447,
        0.731268,
        0.561988,
        0.605045,
        0.824287,
        0.541737,
        0.630538,
        0.757012,
        2.87932,
        1.44696,
        0.808616,
        0.823027,
        0.927891,
        0.907056,
        0.934936,
        0.866154,
        0.804936,
        0.867196,
        1.12429,
        1.12604,
        1.12862,
        0.981102,
        1.08235,
        1.23514,
        1.3857,
        0.980449,
        1.06416,
        1.12819,
        0.849922,
        0.911377,
        0.925142,
        0.76619,
        0.700611,
        0.730195,
        0.646891,
        0.476357,
        0.798754,
        0.589627,
        0.743667,
        0.625547,
        0.539396,
        0.727016,
        0.629792,
        0.541645,
        0.458584,
        0.41656,
        0.472585,
        0.590575,
        0.458913,
        0.582735,
        0.464634,
        0.594425,
        0.609603,
        0.617483,
        0.469466,
        0.640753,
        0.666385,
        0.523415,
        0.542326,
        0.544301,
        0.679331,
        0.704356,
        0.47183,
        0.58914,
        0.622363,
        0.614513,
        0.503469,
        0.477253,
        0.556864,
        0.449457,
        0.491944,
        0.529761,
        0.65533,
        0.502503,
        0.659867,
        0.575079,
        0.468241,
        0.467154,
        0.470767,
        0.380542,
        0.390229,
        0.552981,
        0.441862,
        0.641472,
        0.556962,
        0.460964,
        0.552316,
        0.476685,
        0.679469,
        0.46444,
        0.550338,
        0.714684,
        0.702362,
        0.467445,
        null,
        0.489284,
        0.474234,
        0.462069,
        0.486379,
        0.520906,
        0.487115,
        0.44741,
        0.383202,
        0.413887,
        0.398491,
        0.471194,
        0.507245,
        0.423981,
        0.489122,
        0.547313,
        0.4812,
        0.44574,
        0.558669,
        0.579305,
        0.452647,
        0.549208,
        0.567821,
        0.46285,
        0.460548,
        0.494675,
        0.549853,
        0.535811,
        0.47858,
        0.44966,
        0.489602,
        0.484429,
        0.458098,
        0.524223,
        0.53481,
        0.5192,
        0.563981,
        0.599352,
        0.571392,
        0.609847,
        0.64834,
        0.67372,
        0.655311,
        0.644952,
        0.700979,
        0.690395,
        0.687975,
        0.692802,
        0.71715,
        0.741805,
        0.749466,
        0.938918,
        0.972779,
        0.853685,
        0.820687,
        0.753005,
        0.706171,
        0.948002,
        0.992482,
        0.767763,
        0.854555,
        0.932948,
        0.887288,
        0.656056,
        0.564865,
        0.650747,
        0.559859,
        0.517834,
        0.50903,
        0.443503,
        0.421751,
        0.486144,
        0.478966,
        0.473515,
        0.450358,
        0.507342,
        0.553021,
        0.492687,
        0.525473,
        0.558969,
        0.420323,
        0.430432,
        0.515791,
        0.502487,
        0.446371,
        0.558702,
        0.525161,
        0.399814,
        0.425671,
        0.448228,
        0.570629,
        0.533546,
        0.469175,
        0.518561,
        0.541299,
        0.566849,
        0.467279,
        0.489998,
        0.51185,
        0.422532,
        0.424726,
        0.506897,
        0.49653,
        0.534296,
        0.521536,
        0.50942,
        0.480296,
        0.5091,
        0.464557,
        0.461365,
        0.454899,
        0.430955,
        0.446585,
        0.461519,
        0.462663,
        0.477908,
        0.502001,
        0.475993,
        0.383346,
        0.414932,
        0.406622,
        0.523189,
        0.536353,
        0.391438,
        0.450672,
        0.439441,
        0.569352,
        0.552386,
        0.411716,
        0.409563,
        0.523357,
        0.521048,
        0.446034,
        0.391542,
        0.523615,
        0.586479,
        0.571388,
        0.550783,
        0.51166,
        0.414019,
        0.527642,
        0.574118,
        0.461485,
        0.483389,
        0.501053,
        0.534422,
        0.563547,
        0.529706,
        0.482478,
        0.45967,
        0.543341,
        0.496614,
        0.450144,
        0.525847,
        0.517046,
        0.525081,
        0.490096,
        0.538546,
        0.553353,
        0.513479,
        0.531186,
        0.561302,
        0.611724,
        0.575492,
        0.556605,
        0.527515,
        0.571823,
        0.652975,
        0.627655,
        0.59889,
        0.618808,
        0.591945,
        0.583909,
        0.618067,
        0.641092,
        0.613051,
        0.607886,
        0.655975,
        0.623923,
        0.596487,
        0.581351,
        0.536921,
        0.576762,
        0.639389,
        0.620264,
        0.606117,
        0.597974,
        0.576414,
        0.622456,
        0.546069,
        0.465487,
        0.485383,
        0.539082,
        0.551795,
        0.50395,
        0.473037,
        0.434251,
        0.496149,
        0.511409,
        0.444719,
        0.420424,
        0.414377,
        0.434351,
        0.477747,
        0.547129,
        0.467936,
        0.449194,
        0.50486,
        0.528453,
        0.499028,
        0.525204,
        0.46229,
        0.526746,
        0.364871,
        0.48691,
        0.503309,
        0.415114,
        0.485528,
        0.575531,
        0.504738,
        0.446788,
        0.442909,
        0.546513,
        0.607029,
        0.542482,
        0.48876,
        0.530815,
        0.469037,
        0.482095,
        0.468492,
        0.475502,
        0.556421,
        0.498522,
        0.445763,
        0.50749,
        0.580423,
        0.522743,
        0.506234,
        0.467071,
        0.518463,
        0.494888,
        0.475645,
        0.476443,
        0.473199,
        0.412244,
        0.490394,
        0.515067,
        0.535257,
        0.502957,
        0.490764,
        0.557788,
        0.551771,
        0.513962,
        0.537974,
        0.546147,
        0.526136,
        0.535583,
        0.542451,
        0.507822,
        0.46876,
        0.559598,
        0.58641,
        0.520667,
        0.453518,
        0.498261,
        0.525851,
        0.493082,
        0.475873,
        0.493028,
        0.491738,
        0.498698,
        0.476276,
        0.559969,
        0.520891,
        0.491129,
        0.437761,
        0.458286,
        0.484335,
        0.536618,
        0.55761,
        0.579584,
        0.585172,
        0.489502,
        0.431112,
        0.480198,
        0.496373,
        0.547308,
        0.530144,
        0.609465,
        0.564827,
        0.430444,
        0.665611,
        0.620431,
        0.876279,
        0.815273,
        0.70486,
        0.622142,
        0.594617,
        0.532406,
        0.452999,
        0.713714,
        0.728513,
        0.388061,
        0.357257,
        0.403485,
        0.542306,
        0.643427,
        0.600211,
        0.721627,
        0.788162,
        0.681606,
        0.681485,
        0.625545,
        0.586646,
        0.660212,
        1.22682,
        0.94309,
        0.7926,
        0.696777,
        0.548922,
        0.598535,
        0.583333,
        0.510542,
        0.571727,
        0.56838,
        0.67005,
        0.600532,
        0.581443,
        0.574138,
        0.537555,
        0.581501,
        0.51477,
        0.55096,
        0.547346,
        0.562095,
        0.549671,
        0.521596,
        0.564613,
        0.585466,
        0.61175,
        0.536677,
        0.533864,
        0.479455,
        0.572887,
        0.538165,
        0.531329,
        0.572886,
        0.553981,
        0.577318,
        0.635523,
        0.592889,
        0.533729,
        0.562251,
        0.554957,
        0.565461,
        0.464273,
        0.542998,
        0.54061,
        0.438191,
        0.459097,
        0.439549,
        0.506666,
        0.398639,
        0.587539,
        0.641602,
        0.468988,
        0.66419,
        0.721606,
        0.469428,
        0.517194,
        0.593,
        0.726944,
        0.608341,
        0.493709,
        0.464033,
        0.540786,
        0.526085,
        0.518913,
        0.560944,
        0.551766,
        0.481381,
        0.47391,
        0.522017,
        0.575768,
        0.573413,
        0.565643,
        0.546401,
        0.44269,
        0.473392,
        0.538285,
        0.513347,
        0.499444,
        0.53143,
        0.5639,
        0.542536,
        0.578538,
        0.573591,
        0.51849,
        0.559243,
        0.633876,
        0.585578,
        0.568847,
        0.600412,
        0.570994,
        0.490496,
        0.540715,
        0.577279,
        0.556667,
        0.5636,
        0.597999,
        0.63696,
        0.560207,
        0.616876,
        0.647077,
        0.594375,
        0.564006,
        0.619308,
        0.503761,
        0.494067,
        0.521773,
        0.444796,
        0.479799,
        0.436353,
        0.488856,
        0.446605,
        0.505043,
        0.477017,
        0.478019,
        0.486522,
        0.515075,
        0.548193,
        0.521092,
        0.518826,
        0.470224,
        0.54081,
        0.686831,
        0.608842,
        0.563602,
        0.556672,
        0.502979,
        0.540127,
        0.514788,
        0.517314,
        0.540386,
        0.600549,
        0.563531,
        0.592975,
        0.541632,
        0.604068,
        0.638725,
        0.497562,
        0.453835,
        0.506874,
        0.445963,
        0.507256,
        0.477744,
        0.516097,
        0.354668,
        0.434958,
        0.500788,
        0.491921,
        0.508102,
        0.364025,
        0.463605,
        0.445994,
        0.464738,
        0.55314,
        0.577838,
        0.429085,
        0.448303,
        0.49311,
        0.567447,
        0.534865,
        0.503878,
        0.505764,
        0.450787,
        0.467696,
        0.523943,
        0.563993,
        0.560057,
        0.577692,
        0.471728,
        0.53738,
        0.495673,
        0.417409,
        0.446128,
        0.400479,
        0.436887,
        0.444264,
        0.423343,
        0.480148,
        0.447297,
        0.514813,
        0.484659,
        0.501812,
        0.409156,
        0.456656,
        0.407647,
        0.490502,
        0.567569,
        0.490035,
        0.478294,
        0.517462,
        0.424948,
        0.477808,
        0.454478,
        0.462932,
        0.537126,
        0.50763,
        0.444341,
        0.460218,
        0.506744,
        0.414408,
        0.390471,
        0.439939,
        0.41972,
        0.433154,
        0.498074,
        0.448167,
        0.50925,
        0.539306,
        0.511632,
        0.510884,
        0.362893,
        0.353492,
        0.441769,
        0.502634,
        0.511981,
        0.493014,
        0.507826,
        0.458817,
        0.512879,
        0.467813,
        0.449373,
        0.440795,
        0.446251,
        0.462743,
        0.425022,
        0.405126,
        0.470263,
        0.524955,
        0.56027,
        0.528318,
        0.547445,
        0.517252,
        0.435068,
        0.608884,
        0.555009,
        0.540437,
        0.48463,
        0.476082,
        0.46403,
        0.723046,
        0.763515,
        0.872477,
        0.861753,
        1.05153,
        0.915038,
        0.936568,
        0.972427,
        0.669158,
        0.876622,
        0.772196,
        0.70795,
        0.643567,
        0.69979,
        0.486142,
        0.471098,
        0.500969,
        0.503858,
        0.424464,
        0.478849,
        0.396202,
        0.503516,
        0.455617,
        0.66121,
        0.509586,
        0.553033,
        0.576886,
        0.627156,
        0.657972,
        0.940868,
        0.79392,
        0.844088,
        1.00812,
        0.562622,
        0.535863,
        0.437958,
        0.413056,
        0.28502,
        0.469659,
        0.570215,
        0.538052,
        0.551939,
        0.535381,
        0.510881,
        0.569621,
        0.524644,
        0.530039,
        0.468118,
        0.490941,
        0.511981,
        0.501106,
        0.567475,
        0.469854,
        0.53549,
        0.526731,
        0.567126,
        0.48339,
        0.440546,
        0.511797,
        0.532484,
        0.454483,
        0.496235,
        0.506874,
        0.53234,
        0.462909,
        0.468598,
        0.510366,
        0.455849,
        0.421831,
        0.472077,
        0.431305,
        0.395974,
        0.619876,
        0.448484,
        0.484099,
        0.654391,
        0.501791,
        0.601152,
        0.574276,
        0.585036,
        0.566599,
        0.472824,
        0.373307,
        0.552605,
        0.629778,
        0.636052,
        0.544435,
        0.573211,
        0.565346,
        0.575614,
        0.603131,
        0.596077,
        0.586764,
        0.575823,
        0.59853,
        0.570353,
        0.571317,
        0.653335,
        0.610737,
        0.608463,
        0.688377,
        0.583442,
        0.587655,
        0.656698,
        0.60824,
        0.506909,
        0.561838,
        0.54573,
        0.48197,
        0.474284,
        0.563359,
        0.530926,
        0.453325,
        0.418436,
        0.476617,
        0.548518,
        0.494447,
        0.52827,
        0.462329,
        0.560565,
        0.502968,
        0.557792,
        0.619099,
        0.502401,
        0.606694,
        0.511287,
        0.730057,
        0.5628,
        0.627063,
        0.601957,
        0.566238,
        0.409742,
        0.580626,
        0.456991,
        0.356029,
        0.49565,
        0.438663,
        0.469461,
        0.502972,
        0.425394,
        0.504002,
        0.431474,
        0.46002,
        0.500173,
        0.462107,
        0.504684,
        0.484725,
        0.475339,
        0.44685,
        0.540185,
        0.411048,
        0.443738,
        0.400839,
        0.425866,
        0.492425,
        0.484622,
        0.491539,
        0.577583,
        0.550782,
        0.478092,
        0.422298,
        0.536978,
        0.576816,
        0.574236,
        0.565842,
        0.523553,
        0.5174,
        0.574434,
        0.488812,
        0.636541,
        0.60012,
        0.481197,
        0.515573,
        0.512016,
        0.530575,
        0.390307,
        0.468602,
        0.411201,
        0.413118,
        0.536783,
        0.479261,
        0.428177,
        0.43165,
        0.58808,
        0.447874,
        0.527349,
        0.583196,
        0.649138,
        0.449379,
        0.549949,
        0.449657,
        0.434023,
        0.413963,
        0.386485,
        0.477314,
        0.468149,
        0.50213,
        0.557763,
        0.558039,
        0.519403,
        0.456229,
        0.528053,
        0.498188,
        0.548242,
        0.5019,
        0.48367,
        0.533752,
        0.464327,
        0.528053,
        0.464647,
        0.566809,
        0.5359,
        0.534409,
        0.472674,
        0.471919,
        0.446673,
        0.499923,
        0.47519,
        0.424505,
        0.503247,
        0.395358,
        0.502145,
        0.577309,
        0.375039,
        0.483786,
        0.522376,
        0.523537,
        0.672786,
        0.536439,
        0.481173,
        0.604905,
        0.398902,
        0.50264,
        0.630722,
        0.516758,
        0.477845,
        0.569667,
        0.500688,
        0.52343,
        0.488493,
        0.500244,
        0.479923,
        0.521679,
        0.519123,
        0.503266,
        0.545965,
        0.49277,
        0.48354,
        0.445615,
        0.452754,
        0.53377,
        0.503082,
        0.52366,
        0.526497,
        0.516349,
        0.536716,
        0.522889,
        0.506811,
        0.485102,
        0.502689,
        0.511163,
        0.50575,
        0.494204,
        0.489069,
        0.489692,
        0.56671,
        0.484418,
        0.506508,
        0.526164,
        0.533352,
        0.556891,
        0.482708,
        0.474911,
        0.494266,
        0.515785,
        0.48176,
        0.470714,
        0.511036,
        0.513693,
        0.549223,
        0.559197,
        0.448916,
        0.451576,
        0.457976,
        0.525733,
        0.555913,
        0.507333,
        0.497247,
        0.506725,
        0.534534,
        0.545432,
        0.522111,
        0.518194,
        0.503586,
        0.556153,
        0.529076,
        0.511589,
        0.46718,
        0.499656,
        0.53384,
        0.784475,
        0.905261,
        0.805957,
        0.681958,
        0.646871,
        0.630779,
        0.670042,
        0.726821,
        0.874818,
        0.834286,
        0.796797,
        0.782637,
        0.793729,
        0.737809,
        0.831773,
        0.835081,
        0.845322,
        0.810103,
        0.845001,
        0.868243,
        0.841826,
        0.823516,
        0.961533,
        0.990502,
        0.95644,
        1.01264,
        1.05364,
        0.735111,
        0.664724,
        0.846988,
        0.46259,
        0.637799,
        0.81572,
        0.458044,
        0.542243,
        0.411792,
        0.570047,
        0.593377,
        0.406005,
        0.415329,
        0.498478,
        0.378484,
        0.568327,
        0.547926,
        0.475742,
        0.482053,
        0.682695,
        0.537823,
        0.575862,
        0.514765,
        0.441323,
        0.530242,
        0.697583,
        1.12249,
        0.535696,
        0.446545,
        0.677178,
        0.6383,
        0.530319,
        0.429501,
        0.465839,
        0.541231,
        0.527792,
        0.499622,
        0.482027,
        0.498711,
        0.525871,
        0.495611,
        0.59221,
        0.564762,
        0.536313,
        0.492275,
        0.551664,
        0.498972,
        0.488596,
        0.564345,
        0.566421,
        0.575848,
        0.578446,
        0.578473,
        0.52939,
        0.560732,
        0.559668,
        0.571318,
        0.561685,
        0.586812,
        0.56449,
        0.609559,
        0.551365,
        0.607579,
        0.562275,
        0.5436,
        0.569128,
        0.550091,
        0.606736,
        0.571367,
        0.587907,
        0.530884,
        0.525846,
        0.471432,
        0.67918,
        0.513995,
        0.55252,
        0.545206,
        0.571592,
        0.450173,
        0.559586,
        0.391932,
        0.501449,
        0.393852,
        0.414262,
        0.56223,
        0.502668,
        0.423698,
        0.430516,
        0.558177,
        0.589192,
        0.519379,
        0.454144,
        0.533948,
        0.525572,
        0.481906,
        0.542559,
        0.434207,
        0.668433,
        0.523329,
        0.423496,
        0.451974,
        0.442474,
        0.549057,
        0.456104,
        0.449155,
        0.576014,
        0.540669,
        0.412863,
        0.515021,
        0.536487,
        0.56566,
        0.616027,
        0.482156,
        0.588019,
        0.576869,
        0.543038,
        0.568462,
        0.521427,
        0.503478,
        0.518494,
        0.509574,
        0.516335,
        0.493927,
        0.574544,
        0.481119,
        0.53682,
        0.475346,
        0.500308,
        0.468908,
        0.508667,
        0.464067,
        0.414524,
        0.447674,
        0.530577,
        0.4797,
        0.515713,
        0.533458,
        0.446015,
        0.457936,
        0.525865,
        0.537508,
        0.432271,
        0.516642,
        0.48992,
        0.508537,
        0.502951,
        0.468191,
        0.501866,
        0.506053,
        0.523106,
        0.496903,
        0.535943,
        0.497658,
        0.471471,
        0.506933,
        0.518714,
        0.509042,
        0.540104,
        0.495499,
        0.468587,
        0.50062,
        0.528495,
        0.49104,
        0.494664,
        0.477716,
        0.492175,
        0.489971,
        0.502097,
        0.495739,
        0.476726,
        0.451109,
        0.522331,
        0.42774,
        0.476462,
        0.617144,
        0.597979,
        0.511687,
        0.501914,
        0.54834,
        0.589657,
        0.54462,
        0.503429,
        0.534383,
        0.539901,
        0.535851,
        0.494431,
        0.465276,
        0.579997,
        0.57323,
        0.500685,
        0.572192,
        0.473047,
        0.630898,
        0.479199,
        0.489944,
        1.03322,
        0.691235,
        0.804628,
        0.448118,
        0.525211,
        0.613876,
        0.655035,
        0.588614,
        0.763383,
        0.677117,
        0.421219,
        0.453148,
        0.377099,
        0.617135,
        0.574079,
        0.482814,
        0.487693,
        0.534897,
        0.511259,
        0.524384,
        0.553278,
        0.529223,
        0.544527,
        0.490695,
        0.540709,
        0.468698,
        0.501456,
        0.54802,
        0.553119,
        0.482527,
        0.520834,
        0.429308,
        0.525609,
        0.54049,
        0.506205,
        0.517766,
        0.489475,
        0.510707,
        0.498015,
        0.503636,
        0.507575,
        0.385109,
        0.524677,
        0.534279,
        0.502845,
        0.4271,
        0.493408,
        0.468344,
        0.496487,
        0.501213,
        0.486574,
        0.468572,
        0.534018,
        0.519598,
        0.485491,
        0.494201,
        0.563465,
        0.573517,
        0.552013,
        0.507738,
        0.430997,
        0.45273,
        0.532457,
        0.48134,
        0.498043,
        0.47455,
        0.467206,
        0.48755,
        0.471239,
        0.469074,
        0.466554,
        0.505761,
        0.52895,
        0.516407,
        0.524338,
        0.623517,
        0.542788,
        0.472525,
        0.542387,
        0.426444,
        0.394499,
        0.531308,
        0.470914,
        0.473455,
        0.496424,
        0.520733,
        0.492864,
        0.464593,
        0.46545,
        0.493042,
        0.490064,
        0.533205,
        0.458582,
        0.486026,
        0.543379,
        0.560724,
        0.476547,
        0.532076,
        0.524085,
        0.453253,
        0.476053,
        0.481723,
        0.411443,
        0.634955,
        0.535452,
        0.457378,
        0.45833,
        0.544709,
        0.725954,
        0.652249,
        0.654776,
        0.585557,
        0.653185,
        0.814447,
        0.572019,
        0.571233,
        0.56432,
        0.732735,
        0.820807,
        0.630421,
        0.697263,
        0.752414,
        0.735148,
        0.621519,
        0.767455,
        0.762999,
        0.745523,
        0.814477,
        0.814156,
        0.872687,
        0.908908,
        0.887792,
        0.934717,
        0.774982,
        0.843693,
        0.873475,
        0.971652,
        1.00128,
        0.969803,
        0.978918,
        0.945565,
        0.873495,
        0.85873,
        0.848018,
        0.726498,
        0.732713,
        0.663976,
        0.57036,
        0.588867,
        0.600774,
        0.658864,
        0.599946,
        0.546936,
        0.602098,
        0.519866,
        0.553409,
        0.448567,
        0.486653,
        0.608103,
        0.496246,
        0.420628,
        0.314282,
        0.505721,
        0.373978,
        0.485067,
        0.473686,
        0.597827,
        0.70326,
        0.738108,
        0.625868,
        0.567094,
        0.508441,
        0.622831,
        0.62621,
        0.517958,
        0.517714,
        0.504459,
        0.60232,
        0.653621,
        0.612224,
        0.616465,
        0.577345,
        0.611378,
        0.627596,
        0.623207,
        0.633371,
        0.64886,
        0.55818,
        0.580598,
        0.483093,
        0.633736,
        0.531068,
        0.586304,
        0.607551,
        0.516867,
        0.515547,
        0.546492,
        0.488463,
        0.55145,
        0.410882,
        0.469816,
        0.448868,
        0.431556,
        0.453661,
        0.504173,
        0.436741,
        0.556835,
        0.529757,
        0.36201,
        0.413913,
        1.01235,
        0.904724,
        0.885054,
        0.695367,
        0.579724,
        0.549406,
        0.553442,
        0.544439,
        0.538906,
        0.512523,
        0.502119,
        0.501202,
        0.601083,
        0.524336,
        0.531619,
        0.546162,
        0.548516,
        0.542914,
        0.496109,
        0.494378,
        0.486686,
        0.518411,
        0.513863,
        0.441232,
        0.524343,
        0.536636,
        0.511128,
        0.648817,
        0.540337,
        0.56064,
        0.655246,
        0.553644,
        0.513302,
        0.494549,
        0.546831,
        0.494761,
        0.500457,
        0.480879,
        0.496413,
        0.475804,
        0.505692,
        0.594965,
        0.577894,
        0.557789,
        0.462179,
        0.475383,
        0.480071,
        0.462976,
        0.568902,
        0.572112,
        0.518812,
        0.464526,
        0.558468,
        0.572005,
        0.512898,
        0.468972,
        0.564991,
        0.489638,
        0.498185,
        0.489424,
        0.437227,
        0.495946,
        0.482586,
        0.44298,
        0.504015,
        0.441766,
        0.45522,
        0.508077,
        0.41049,
        0.491665,
        0.499643,
        0.46339,
        0.497613,
        0.4825,
        0.465565,
        0.542467,
        0.525058,
        0.507803,
        0.454007,
        0.467736,
        0.532518,
        0.484127,
        0.503681,
        0.519329,
        0.595431,
        0.55504,
        0.512524,
        0.465687,
        0.552939,
        0.495192,
        0.533903,
        0.499173,
        0.436718,
        0.510085,
        0.508322,
        0.495814,
        0.537917,
        0.569363,
        0.514112,
        0.406473,
        0.41919,
        0.418978,
        0.480332,
        0.509948,
        0.48172,
        0.495501,
        0.458021,
        0.465766,
        0.519726,
        0.464797,
        0.406243,
        0.474326,
        0.41191,
        0.432171,
        0.563462,
        0.447685,
        0.447634,
        0.465025,
        0.43056,
        0.396242,
        0.488525,
        0.404766,
        0.548874,
        0.406202,
        0.475448,
        0.525567,
        0.620697,
        0.513989,
        0.624091,
        0.45217,
        0.588688,
        0.949753,
        0.664013,
        0.71422,
        0.366846,
        0.476946,
        0.348891,
        0.508307,
        0.58869,
        0.517315,
        0.478362,
        0.525078,
        0.583021,
        0.454881,
        0.567444,
        0.42506,
        0.462582,
        0.481383,
        0.546704,
        0.547051,
        0.507085,
        0.525872,
        0.548309,
        0.517885,
        0.447952,
        0.509136,
        0.489624,
        0.543242,
        0.446794,
        0.496166,
        0.514545,
        0.531157,
        0.483411,
        0.441553,
        0.576228,
        0.481027,
        0.481217,
        0.543174,
        0.444434,
        0.486849,
        0.483996,
        0.521628,
        0.472509,
        0.49294,
        0.530572,
        0.513897,
        0.463638,
        0.516928,
        0.499733,
        0.51829,
        0.488603,
        0.491308,
        0.510696,
        0.559879,
        0.519345,
        0.489909,
        0.443605,
        0.426846,
        0.546114,
        0.582945,
        0.493931,
        0.471026,
        0.495449,
        0.528594,
        0.466573,
        0.517539,
        0.52308,
        0.469706,
        0.469108,
        0.47921,
        0.52643,
        0.484848,
        0.532246,
        0.56519,
        0.43728,
        0.518664,
        0.497885,
        0.458099,
        0.506452,
        0.438209,
        0.466093,
        0.529025,
        0.500055,
        0.491158,
        0.514923,
        0.512816,
        0.464439,
        0.540336,
        0.581489,
        0.523073,
        0.579531,
        0.577578,
        0.509303,
        0.44831,
        0.50371,
        0.579026,
        0.563802,
        0.50969,
        0.493082,
        0.615995,
        0.437602,
        0.59439,
        0.640012,
        0.483197,
        0.542897,
        0.596966,
        0.592695,
        0.354335,
        0.439953,
        0.478283,
        0.4432,
        0.41388,
        0.5763,
        0.615603,
        0.442595,
        0.446108,
        0.43914,
        0.468796,
        0.552263,
        0.494551,
        0.447632,
        0.485878,
        0.535544,
        0.428312,
        0.462673,
        0.521893,
        0.531874,
        0.614105,
        0.410538,
        0.319152,
        0.661184,
        0.460439,
        0.475432,
        0.45912,
        0.399961,
        0.570508,
        0.845998,
        0.826854,
        0.58197,
        0.6205,
        0.58432,
        0.53712,
        0.493081,
        0.544129,
        0.459155,
        0.522013,
        0.483763,
        0.45384,
        0.455955,
        0.492219,
        0.569066,
        0.51802,
        0.572579,
        0.598544,
        0.581397,
        0.463326,
        0.596137,
        0.651872,
        0.536906,
        0.612696,
        0.610213,
        0.687693,
        0.63925,
        0.668791,
        0.701122,
        0.790394,
        0.760345,
        0.817518,
        0.775536,
        0.766946,
        0.755489,
        0.86079,
        0.744739,
        0.801053,
        0.84623,
        0.87158,
        0.848826,
        0.892961,
        0.942919,
        0.996352,
        0.887515,
        0.884682,
        0.952166,
        0.924786,
        0.94011,
        0.950555,
        0.914549,
        0.754668,
        0.764754,
        0.727573,
        0.609333,
        0.655689,
        0.682645,
        0.627481,
        0.597821,
        0.580763,
        0.542479,
        0.602677,
        0.558574,
        0.443166,
        0.645158,
        null,
        0.467368,
        0.451345,
        0.477374,
        0.507694,
        0.479592,
        0.439621,
        0.490749,
        0.505868,
        0.48927,
        0.457537,
        0.423068,
        0.38499,
        0.398782,
        0.385578,
        0.466093,
        0.504257,
        0.456773,
        0.505883,
        0.499432,
        0.470099,
        0.488836,
        0.526532,
        0.59666,
        0.5065,
        0.494925,
        0.478593,
        0.428953,
        0.523667,
        0.499843,
        0.399244,
        0.439613,
        0.47834,
        0.503121,
        0.51098,
        0.440705,
        0.465009,
        0.444877,
        0.471929,
        0.485079,
        0.433636,
        0.45931,
        0.495829,
        0.493687,
        0.471901,
        0.430756,
        0.463643,
        0.536267,
        0.529765,
        0.431046,
        0.45283,
        0.440826,
        0.451675,
        0.499868,
        0.471353,
        0.444523,
        0.457628,
        0.511853,
        0.497473,
        0.507101,
        0.589284,
        0.512385,
        0.521861,
        0.579525,
        0.510183,
        0.55283,
        0.556406,
        0.483371,
        0.500807,
        0.483544,
        0.49266,
        0.523469,
        0.516281,
        0.457718,
        0.449391,
        0.461053,
        0.531474,
        0.540668,
        0.518183,
        0.501613,
        0.494463,
        0.492933,
        0.484353,
        0.463583,
        0.428863,
        0.433048,
        0.430697,
        0.433651,
        0.472536,
        0.447911,
        0.472733,
        0.470065,
        0.448259,
        0.459356,
        0.514563,
        0.523282,
        0.493836,
        0.485755,
        0.466917,
        0.483046,
        0.48865,
        0.492497,
        0.497729,
        0.499729,
        0.499442,
        0.47878,
        0.489456,
        0.470918,
        0.452575,
        0.498203,
        0.505679,
        0.505307,
        0.509587,
        0.505226,
        0.527627,
        0.533791,
        0.500427,
        0.488158,
        0.485904,
        0.432645,
        0.421011,
        0.45195,
        0.484938,
        0.419489,
        0.489909,
        0.474623,
        0.444386,
        0.471768,
        0.431055,
        0.463156,
        0.477676,
        0.405818,
        0.46903,
        0.524288,
        0.513695,
        0.474061,
        0.406931,
        0.484668,
        0.523294,
        0.479377,
        0.47155,
        0.485617,
        0.480478,
        0.477191,
        0.517274,
        0.447896,
        0.441565,
        0.471221,
        0.475752,
        0.453365,
        0.498622,
        0.465369,
        0.42469,
        0.475626,
        0.500774,
        0.492926,
        0.501766,
        0.536986,
        0.549135,
        0.499334,
        0.51269,
        0.47494,
        0.495074,
        0.52784,
        0.469009,
        0.443541,
        0.46652,
        0.56144,
        0.546451,
        0.506985,
        0.543426,
        0.52103,
        0.473563,
        0.411287,
        0.343856,
        0.387894,
        0.424991,
        0.504601,
        0.457034,
        0.495272,
        0.421293,
        0.470039,
        0.509168,
        0.583045,
        0.465449,
        0.411526,
        0.509387,
        0.624162,
        0.627777,
        0.51204,
        0.553933,
        0.543272,
        0.579867,
        0.638061,
        0.625725,
        0.646959,
        0.664184,
        0.659746,
        0.60969,
        0.628009,
        0.651006,
        0.67727,
        0.67846,
        0.718092,
        0.726582,
        0.722372,
        0.73826,
        0.771899,
        0.751954,
        0.794398,
        0.790954,
        0.768544,
        0.7596,
        0.804491,
        0.794611,
        0.832167,
        0.812008,
        0.839863,
        0.848256,
        0.813619,
        0.827523,
        0.860539,
        0.837045,
        0.815435,
        0.820539,
        0.808987,
        0.7258,
        0.61143,
        0.575522,
        0.583306,
        0.58957,
        0.602746,
        0.567513,
        0.579088,
        0.538177,
        0.485999,
        0.51105,
        0.567516,
        0.4778,
        0.471676,
        0.415448,
        0.643051,
        0.623682,
        0.564279,
        0.502868,
        0.545591,
        0.851828,
        0.834823,
        0.663893,
        0.533491,
        0.491174,
        0.556179,
        0.371632,
        0.397407,
        0.492854,
        0.505389,
        0.52595,
        0.46706,
        0.516701,
        0.5182,
        0.521458,
        0.458102,
        0.492682,
        0.46705,
        0.533927,
        0.447666,
        0.406145,
        0.415024,
        0.454404,
        0.45773,
        0.513853,
        0.477253,
        0.448036,
        0.495584,
        0.491002,
        0.504915,
        0.463636,
        0.425105,
        0.482388,
        0.429336,
        0.4797,
        0.559465,
        0.575967,
        0.464244,
        0.38983,
        0.487704,
        0.504395,
        0.504609,
        0.456432,
        0.461383,
        0.397092,
        0.45614,
        0.511807,
        0.533389,
        0.535758,
        0.491183,
        0.453488,
        0.46654,
        0.459906,
        0.521616,
        0.501052,
        0.488012,
        0.478654,
        0.457175,
        0.497029,
        0.463455,
        0.486667,
        0.501149,
        0.498517,
        0.520696,
        0.471295,
        0.490245,
        0.474094,
        0.452207,
        0.499296,
        0.479682,
        0.52158,
        0.515772,
        0.490902,
        0.482759,
        0.440193,
        0.491869,
        0.492438,
        0.5063,
        0.487078,
        0.460662,
        0.459948,
        0.498669,
        0.454394,
        0.447413,
        0.50738,
        0.494672,
        0.448421,
        0.453414,
        0.461332,
        0.482817,
        0.424309,
        0.476766,
        0.551578,
        0.504441,
        0.510902,
        0.442059,
        0.461104,
        0.454257,
        0.468102,
        0.493665,
        0.51566,
        0.489749,
        0.490755,
        0.469702,
        0.461626,
        0.496315,
        0.524184,
        0.493819,
        0.55695,
        0.587957,
        0.566473,
        0.549639,
        0.514811,
        0.527942,
        0.57475,
        0.511646,
        0.526541,
        0.526105,
        0.501097,
        0.489568,
        0.550006,
        0.514495,
        0.477857,
        0.455148,
        0.442656,
        0.472532,
        0.461009,
        0.42861,
        0.449835,
        0.485066,
        0.479012,
        0.432598,
        0.427213,
        0.459268,
        0.451377,
        0.373001,
        0.432912,
        0.46959,
        0.498134,
        0.478819,
        0.481476,
        0.437153,
        0.461152,
        0.425622,
        0.478042,
        0.468183,
        0.474474,
        0.460365,
        0.507828,
        0.454885,
        0.425996,
        0.615987,
        0.47801,
        0.323601,
        0.382018,
        0.559802,
        0.59936,
        0.526762,
        0.447324,
        0.405585,
        0.338578,
        0.448874,
        0.4252,
        0.426697,
        0.497502,
        0.472781,
        0.416213,
        0.431329,
        0.446363,
        0.470882,
        0.499125,
        0.449522,
        0.444966,
        0.507628,
        0.47923,
        0.480117,
        0.469059,
        0.489731,
        0.512786,
        0.517726,
        0.480752,
        0.541379,
        0.515886,
        0.475973,
        0.481487,
        0.468362,
        0.468323,
        0.519349,
        0.51812,
        0.516085,
        0.517036,
        0.497132,
        0.52078,
        0.483389,
        0.438336,
        0.444561,
        0.466398,
        0.456049,
        0.43166,
        0.437102,
        0.49963,
        0.464452,
        0.521794,
        0.534564,
        0.532255,
        0.538293,
        0.484399,
        0.45726,
        0.486838,
        0.459902,
        0.434308,
        0.438831,
        0.488696,
        0.506696,
        0.502649,
        0.489897,
        0.534443,
        0.513845,
        0.433886,
        0.443542,
        0.472792,
        0.516541,
        0.458655,
        0.477787,
        0.503753,
        0.521292,
        0.574202,
        0.536398,
        0.479886,
        0.465414,
        0.505943,
        0.536242,
        0.529393,
        0.52427,
        0.500997,
        0.496933,
        0.448095,
        0.468591,
        0.495658,
        0.520656,
        0.543662,
        0.505537,
        0.503852,
        0.498901,
        0.571047,
        0.523701,
        0.510278,
        0.519012,
        0.483855,
        0.497489,
        0.537651,
        0.552468,
        0.537362,
        0.535211,
        0.507925,
        0.469739,
        0.507373,
        0.535976,
        0.512057,
        0.538506,
        0.52054,
        0.506972,
        0.541549,
        0.519099,
        0.517267,
        0.552575,
        0.515713,
        0.512084,
        0.588343,
        0.576338,
        0.551287,
        0.582041,
        0.567663,
        0.570535,
        0.539676,
        0.572013,
        0.556088,
        0.595146,
        0.583747,
        0.598142,
        0.618667,
        0.580991,
        0.583494,
        0.631284,
        0.602316,
        0.599755,
        0.588698,
        0.549102,
        0.558757,
        0.597138,
        0.584272,
        0.638331,
        0.602964,
        0.542333,
        0.571691,
        0.538255,
        0.517466,
        0.521202,
        0.541901,
        0.49646,
        0.489237,
        0.441205,
        0.503613,
        0.459113,
        0.489094,
        0.509866,
        0.531676,
        0.514307,
        0.523393,
        0.553508,
        0.547755,
        0.613267,
        0.59043,
        0.581965,
        0.618395,
        0.654027,
        0.657663,
        0.681352,
        0.696206,
        0.696091,
        0.69968,
        0.750527,
        0.711648,
        0.740878,
        0.741924,
        0.779745,
        0.811986,
        0.771505,
        0.812788,
        0.818325,
        0.836736,
        0.814329,
        0.816693,
        0.8316,
        0.84614,
        0.875763,
        0.890572,
        0.921842,
        0.900625,
        0.870587,
        0.890656,
        0.859508,
        0.852623,
        0.657541,
        0.560697,
        0.438954,
        0.422814,
        0.477835,
        0.543667,
        0.531509,
        0.571564,
        0.564787,
        0.457539,
        0.435192,
        0.503885,
        0.443004,
        0.471098,
        0.468797,
        0.541319,
        0.541322,
        0.481655,
        0.55295,
        0.599094,
        0.648226,
        0.521004,
        0.591045,
        0.402726,
        0.588663,
        0.501895,
        0.45113,
        0.468372,
        0.419449,
        0.49116,
        0.471785,
        0.516536,
        0.481991,
        0.458838,
        0.49637,
        0.484919,
        0.4396,
        0.470628,
        0.385121,
        0.449302,
        0.430417,
        0.484182,
        0.529622,
        0.533874,
        0.495374,
        0.509526,
        0.492076,
        0.514904,
        0.523556,
        0.505926,
        0.464706,
        0.489973,
        0.501176,
        0.50758,
        0.488503,
        0.492122,
        0.492605,
        0.504735,
        0.512619,
        0.508161,
        0.556969,
        0.523572,
        0.468131,
        0.46855,
        0.480409,
        0.508585,
        0.545036,
        0.48097,
        0.431184,
        0.482619,
        0.485711,
        0.494963,
        0.482821,
        0.499238,
        0.463305,
        0.4536,
        0.457836,
        0.431156,
        0.423703,
        0.385917,
        0.43665,
        0.454156,
        0.475677,
        0.473302,
        0.465186,
        0.448112,
        0.496836,
        0.493572,
        0.449317,
        0.477083,
        0.518398,
        0.507655,
        0.457566,
        0.531939,
        0.489421,
        0.500672,
        0.497656,
        0.469526,
        0.490548,
        0.516606,
        0.504795,
        0.487908,
        0.497709,
        0.468033,
        0.486698,
        0.512679,
        0.497964,
        0.484024,
        0.472281,
        0.486261,
        0.501253,
        0.506739,
        0.469166,
        0.446747,
        0.417059,
        0.463423,
        0.456819,
        0.447771,
        0.506085,
        0.493719,
        0.525751,
        0.47792,
        0.507701,
        0.456199,
        0.471014,
        0.484676,
        0.494769,
        0.456079,
        0.506238,
        0.494366,
        0.491534,
        0.464427,
        0.495818,
        0.471474,
        0.472145,
        0.424643,
        0.41213,
        0.501755,
        0.540931,
        0.469811,
        0.513093,
        0.492555,
        0.517598,
        0.538765,
        0.484402,
        0.465931,
        0.487134,
        0.443056,
        0.47306,
        0.506465,
        0.478471,
        0.523952,
        0.530277,
        0.52376,
        0.511108,
        0.517206,
        0.489808,
        0.512645,
        0.475303,
        0.467965,
        0.49438,
        0.447905,
        0.476363,
        0.485283,
        0.45422,
        0.473501,
        0.494738,
        0.501791,
        0.455143,
        0.470514,
        0.455719,
        0.438845,
        0.45114,
        0.485531,
        0.481186,
        0.526945,
        0.526607,
        0.508023,
        0.497079,
        0.550788,
        0.48224,
        0.449403,
        0.523329,
        0.470127,
        0.478523,
        0.491962,
        0.522078,
        0.546521,
        0.519448,
        0.440732,
        0.490313,
        0.521329,
        0.564324,
        0.532121,
        0.536808,
        0.563914,
        0.564563,
        0.540028,
        0.520277,
        0.49615,
        0.480311,
        0.489946,
        0.477729,
        0.487728,
        0.512536,
        0.452271,
        0.470744,
        0.527191,
        0.558148,
        0.550768,
        0.489229,
        0.427031,
        0.487725,
        0.448452,
        0.511406,
        0.494404,
        0.486944,
        0.489133,
        0.515806,
        0.507482,
        0.582639,
        0.541937,
        0.498101,
        0.522508,
        0.597169,
        0.496276,
        0.488528,
        0.528916,
        0.54876,
        0.524046,
        0.536332,
        0.510463,
        0.534593,
        0.527299,
        0.504204,
        0.504368,
        0.428867,
        0.449176,
        0.466237,
        0.502663,
        0.515673,
        0.557192,
        0.537103,
        0.508489,
        0.52292,
        0.479227,
        0.507389,
        0.55395,
        0.539524,
        0.530439,
        0.581354,
        0.552188,
        0.50913,
        0.521167,
        0.473645,
        0.497212,
        0.50266,
        0.489506,
        0.48592,
        0.511788,
        0.510822,
        0.533659,
        0.508459,
        0.542687,
        0.563011,
        0.536582,
        0.5341,
        0.532003,
        0.525705,
        0.530211,
        0.525721,
        0.548135,
        0.534937,
        0.553887,
        0.592355,
        0.542113,
        0.536993,
        0.549739,
        0.58416,
        0.5142,
        0.568341,
        0.580735,
        0.564333,
        0.611097,
        0.563643,
        0.55566,
        0.590409,
        0.633685,
        0.593141,
        0.597568,
        0.610611,
        0.614185,
        0.556304,
        0.587062,
        0.588194,
        0.591141,
        0.554249,
        0.581689,
        0.544721,
        0.540556,
        0.523744,
        0.456337,
        0.494352,
        0.521697,
        0.51353,
        0.512786,
        0.469372,
        0.479425,
        0.451024,
        0.484421,
        0.495671,
        0.487467,
        0.46044,
        0.499294,
        0.539048,
        0.544176,
        0.531504,
        0.531647,
        0.521238,
        0.539848,
        0.536612,
        0.532268,
        0.549154,
        0.526164,
        0.567802,
        0.539798,
        0.521019,
        0.514001,
        0.525756,
        0.526157,
        0.591115,
        0.546621,
        0.493816,
        0.558298,
        0.55056,
        0.446661,
        0.469435,
        0.506993,
        0.482908,
        0.496864,
        0.547766,
        0.490576,
        0.545054,
        0.433433,
        0.479067,
        0.549398,
        0.516329,
        0.57402,
        0.518256,
        0.500294,
        0.474152,
        0.549808,
        0.551276,
        0.575882,
        0.529725,
        0.544327,
        0.608847,
        0.600673,
        0.643205,
        0.612393,
        0.653697,
        0.6044,
        0.693664,
        0.684329,
        0.689626,
        0.674429,
        0.751171,
        0.735502,
        0.745938,
        0.745441,
        0.759984,
        0.780671,
        0.805992,
        0.822672,
        0.833688,
        0.881964,
        0.862554,
        0.869373,
        0.874023,
        0.958113,
        0.907144,
        0.873803,
        0.844731,
        0.727548,
        0.628484,
        0.450565,
        0.344325,
        0.374301,
        0.411953,
        0.446241,
        0.531462,
        0.558911,
        0.520682,
        0.532062,
        0.536554,
        0.467364,
        0.445892,
        0.494186,
        0.430003,
        0.423889,
        0.55674,
        0.476631,
        0.518373,
        0.524908,
        0.643838,
        0.615254,
        1.67317,
        0.948777,
        0.723378,
        0.544967,
        0.423905,
        0.542648,
        0.481013,
        0.385598,
        0.571556,
        0.55619,
        0.540215,
        0.508089,
        0.571628,
        0.521976,
        0.444586,
        0.463499,
        0.446544,
        0.481395,
        0.540088,
        0.58094,
        0.512648,
        0.524745,
        0.493157,
        0.47524,
        0.480236,
        0.5315,
        0.490625,
        0.500766,
        0.460473,
        0.49298,
        0.468321,
        0.503407,
        0.515122,
        0.494418,
        0.464084,
        0.539612,
        0.502979,
        0.514314,
        0.471974,
        0.459942,
        0.489126,
        0.475761,
        0.493617,
        0.537528,
        0.548667,
        0.470138,
        0.453983,
        0.57568,
        0.508224,
        0.426952,
        0.485141,
        0.493877,
        0.467796,
        0.450881,
        0.484299,
        0.45992,
        0.477787,
        0.466537,
        0.499975,
        0.531227,
        0.496783,
        0.510267,
        0.501748,
        0.460122,
        0.474795,
        0.452432,
        0.452532,
        0.473431,
        0.510237,
        0.471739,
        0.543015,
        0.502088,
        0.504748,
        0.518254,
        0.557536,
        0.516168,
        0.524246,
        0.499603,
        0.474363,
        0.470528,
        0.509873,
        0.525674,
        0.478846,
        0.472771,
        0.456435,
        0.469437,
        0.505739,
        0.473346,
        0.502831,
        0.53129,
        0.518053,
        0.53,
        0.546915,
        0.496328,
        0.504163,
        0.563702,
        0.522903,
        0.507185,
        0.559174,
        0.549542,
        0.499644,
        0.504409,
        0.509688,
        0.516908,
        0.536543,
        0.482521,
        0.534247,
        0.539015,
        0.513774,
        0.489751,
        0.52543,
        0.51043,
        0.525583,
        0.487384,
        0.503215,
        0.498821,
        0.487491,
        0.545189,
        0.601369,
        0.532973,
        0.474009,
        0.53061,
        0.492247,
        0.53557,
        0.496894,
        0.481138,
        0.477343,
        0.474433,
        0.547715,
        0.457844,
        0.479811,
        0.441113,
        0.468128,
        0.477116,
        0.465536,
        0.511855,
        0.536276,
        0.539783,
        0.494604,
        0.505498,
        0.471466,
        0.536342,
        0.482456,
        0.42869,
        0.468565,
        0.505899,
        0.457322,
        0.480465,
        0.501805,
        0.531887,
        0.474641,
        0.515722,
        0.452135,
        0.505149,
        0.482397,
        0.499473,
        0.51676,
        0.496835,
        0.522427,
        0.539511,
        0.507921,
        0.48542,
        0.501385,
        0.504933,
        0.513569,
        0.522146,
        0.52464,
        0.434088,
        0.488427,
        0.459261,
        0.454547,
        0.472444,
        0.536486,
        0.498705,
        0.495398,
        0.458102,
        0.458111,
        0.46316,
        0.494396,
        0.49672,
        0.398801,
        0.450129,
        0.475449,
        0.503859,
        0.527046,
        0.513017,
        0.503633,
        0.444247,
        0.497951,
        0.506521,
        0.505949,
        0.455053,
        0.47354,
        0.464547,
        0.477455,
        0.494876,
        0.50831,
        0.489156,
        0.534673,
        0.481848,
        0.481448,
        0.498854,
        0.513017,
        0.458624,
        0.453862,
        0.538153,
        0.483714,
        0.448479,
        0.476449,
        0.469933,
        0.456143,
        0.475017,
        0.472869,
        0.467459,
        0.499326,
        0.49612,
        0.546346,
        0.484921,
        0.493362,
        0.511192,
        0.481946,
        0.480273,
        0.492968,
        0.547762,
        0.536956,
        0.500092,
        0.553412,
        0.551716,
        0.539188,
        0.564784,
        0.500767,
        0.520366,
        0.54165,
        0.515332,
        0.502101,
        0.563525,
        0.599973,
        0.539346,
        0.414905,
        0.538734,
        0.899183,
        0.694132,
        0.841836,
        0.784192,
        0.673755,
        0.696018,
        0.769057,
        0.590186,
        0.553944,
        0.503097,
        0.512326,
        0.532118,
        0.537589,
        0.425325,
        0.553173,
        0.503253,
        0.438491,
        0.502302,
        0.477307,
        0.444862,
        0.427902,
        0.495597,
        0.502608,
        0.430967,
        0.511745,
        0.539536,
        0.517881,
        0.533181,
        0.535645,
        0.506591,
        0.535719,
        0.530444,
        0.53223,
        0.473316,
        0.489055,
        0.503285,
        0.540987,
        0.556748,
        0.576202,
        0.509198,
        0.544969,
        0.532174,
        0.524145,
        0.492101,
        0.525398,
        0.53281,
        0.498512,
        0.506932,
        0.54056,
        0.52617,
        0.441012,
        0.50129,
        0.562312,
        0.545098,
        0.560737,
        0.555322,
        0.451306,
        0.530774,
        0.560915,
        0.573382,
        0.388323,
        0.52447,
        0.503432,
        0.549361,
        0.482976,
        0.590121,
        0.471652,
        0.536913,
        0.492854,
        0.56894,
        0.595925,
        0.516846,
        0.441669,
        0.45725,
        0.479995,
        0.472685,
        0.488657,
        0.471218,
        0.473154,
        0.397929,
        0.435784,
        0.454234,
        0.419384,
        0.444071,
        0.453915,
        0.484691,
        0.48692,
        0.396274,
        0.445209,
        0.532448,
        0.492573,
        0.481061,
        0.486083,
        0.558017,
        0.533119,
        0.503968,
        0.517079,
        0.567435,
        0.556404,
        0.554379,
        0.523531,
        0.563996,
        0.560527,
        0.540812,
        0.548801,
        0.551721,
        0.528869,
        0.526459,
        0.558331,
        0.565845,
        0.672636,
        0.670171,
        0.681773,
        0.629297,
        0.612557,
        0.69117,
        0.667251,
        0.681443,
        0.732586,
        0.722698,
        0.736333,
        0.686932,
        0.725931,
        0.815984,
        0.790552,
        0.786976,
        0.789951,
        0.700808,
        0.804686,
        0.873353,
        0.933349,
        0.894738,
        0.913723,
        0.885522,
        0.937083,
        0.931408,
        0.852478,
        0.780273,
        0.636922,
        0.538481,
        0.450693,
        0.291148,
        0.329281,
        0.358418,
        0.394226,
        0.567352,
        0.536039,
        0.472983,
        0.444358,
        0.546485,
        0.560075,
        0.491051,
        0.505839,
        0.404819,
        0.486851,
        0.653692,
        0.458885,
        0.372234,
        0.526332,
        0.476223,
        0.653583,
        0.584025,
        0.721236,
        0.498416,
        0.526511,
        0.374547,
        0.59107,
        0.569018,
        0.521853,
        0.369685,
        0.473633,
        0.5677,
        0.5653,
        0.493714,
        0.52272,
        0.599987,
        0.511567,
        0.407589,
        0.52133,
        0.420418,
        0.37279,
        0.659052,
        0.604359,
        0.489807,
        0.574018,
        0.383704,
        0.493205,
        0.467785,
        0.464226,
        0.460528,
        0.513696,
        0.495825,
        0.482733,
        0.435649,
        0.512133,
        0.468796,
        0.441267,
        0.503257,
        0.477002,
        0.466529,
        0.506813,
        0.486865,
        0.45493,
        0.477709,
        0.478905,
        0.49202,
        0.497879,
        0.499625,
        0.501966,
        0.523417,
        0.522307,
        0.499271,
        0.5416,
        0.532187,
        0.523048,
        0.476741,
        0.472966,
        0.499002,
        0.535912,
        0.510338,
        0.465858,
        0.473891,
        0.476501,
        0.48288,
        0.488016,
        0.442703,
        0.44947,
        0.446824,
        0.506014,
        0.498082,
        0.469793,
        0.489629,
        0.467169,
        0.483019,
        0.440299,
        0.473402,
        0.495942,
        0.495825,
        0.481728,
        0.497506,
        0.581342,
        0.437625,
        0.468378,
        0.432046,
        0.51594,
        0.466372,
        0.440668,
        0.468176,
        0.453908,
        0.415775,
        0.484138,
        0.514478,
        0.457068,
        0.427383,
        0.45186,
        0.438752,
        0.508728,
        0.518964,
        0.512687,
        0.547506,
        0.480706,
        0.433713,
        0.501231,
        0.475758,
        0.502169,
        0.45717,
        0.466232,
        0.473196,
        0.473994,
        0.488204,
        0.531215,
        0.47999,
        0.448851,
        0.526344,
        0.517075,
        0.52295,
        0.451397,
        0.483759,
        0.463851,
        0.455738,
        0.507305,
        0.45595,
        0.468764,
        0.481644,
        0.404267,
        0.471994,
        0.589537,
        0.550672,
        0.461343,
        0.499333,
        0.529361,
        0.497213,
        0.488687,
        0.410614,
        0.487918,
        0.529109,
        0.408392,
        0.429619,
        0.471034,
        0.465386,
        0.479774,
        0.487363,
        0.458735,
        0.499295,
        0.48513,
        0.477754,
        0.454792,
        0.44804,
        0.460444,
        0.419772,
        0.526384,
        0.448889,
        0.496548,
        0.541019,
        0.415789,
        0.439099,
        0.438653,
        0.425402,
        0.424528,
        0.436957,
        0.492743,
        0.479104,
        0.506194,
        0.514633,
        0.464636,
        0.477298,
        0.538662,
        0.578627,
        0.564701,
        0.552915,
        0.490113,
        0.496004,
        0.52645,
        0.518971,
        0.519165,
        0.546498,
        0.546932,
        0.538272,
        0.549682,
        0.567222,
        0.504518,
        0.530139,
        0.599305,
        0.589271,
        0.576428,
        0.536803,
        0.588959,
        0.551955,
        0.569812,
        0.568756,
        0.532319,
        0.534282,
        0.654051,
        0.632364,
        0.62783,
        0.618895,
        0.56473,
        0.575828,
        0.592652,
        0.667975,
        0.551033,
        0.569448,
        0.647231,
        0.513544,
        0.573788,
        0.599002,
        0.576935,
        0.673259,
        0.530765,
        0.550759,
        0.572263,
        0.617936,
        0.567241,
        0.526677,
        0.509616,
        0.56655,
        0.571494,
        0.528059,
        0.594887,
        0.472998,
        0.451494,
        0.512882,
        0.530545,
        0.535958,
        0.569153,
        0.450664,
        0.503179,
        0.573592,
        0.480398,
        0.545583,
        0.589085,
        0.585393,
        0.546994,
        0.473427,
        0.506207,
        0.523511,
        0.564384,
        0.517581,
        0.473489,
        0.489348,
        0.473238,
        0.44158,
        0.478235,
        0.423744,
        0.495523,
        0.46385,
        0.477146,
        0.473249,
        0.502357,
        0.454464,
        0.427666,
        0.507894,
        0.53326,
        0.53789,
        0.52112,
        0.533777,
        0.514359,
        0.50395,
        0.511508,
        0.493488,
        0.56077,
        0.521775,
        0.509996,
        0.500154,
        0.556172,
        0.563732,
        0.563228,
        0.518831,
        0.515106,
        0.524143,
        0.524532,
        0.514102,
        0.473731,
        0.489816,
        0.546233,
        0.567283,
        0.49798,
        0.50658,
        0.554382,
        0.4679,
        0.506237,
        0.501776,
        0.432301,
        0.494119,
        0.439554,
        0.491326,
        0.494432,
        0.552262,
        0.52276,
        0.481984,
        0.518688,
        0.520307,
        0.486266,
        0.54686,
        0.5038,
        0.504161,
        0.552214,
        0.501951,
        0.505081,
        0.437168,
        0.491698,
        0.588797,
        0.516526,
        0.497452,
        0.558816,
        0.516973,
        0.499874,
        0.424024,
        0.450688,
        0.497028,
        0.550826,
        0.5804,
        0.460892,
        0.475342,
        0.483111,
        0.484986,
        0.536528,
        0.493415,
        0.457825,
        0.468826,
        0.475421,
        0.463225,
        0.516544,
        0.50013,
        0.49714,
        0.479667,
        0.529601,
        0.476847,
        0.530195,
        0.491808,
        0.514125,
        0.552382,
        0.502687,
        0.483762,
        0.542315,
        0.502653,
        0.574556,
        0.487164,
        0.51773,
        0.519439,
        0.519373,
        0.535642,
        0.537889,
        0.531359,
        0.483508,
        0.555991,
        0.532333,
        0.634215,
        0.593819,
        0.490705,
        0.635766,
        0.647186,
        0.599028,
        0.604143,
        0.597353,
        0.65119,
        0.56177,
        0.595394,
        0.675968,
        0.686054,
        0.687323,
        0.710875,
        0.719518,
        0.767232,
        0.802222,
        0.695994,
        0.737741,
        0.83854,
        0.859599,
        0.812859,
        0.857151,
        0.818375,
        0.876488,
        0.877834,
        0.83741,
        0.945179,
        0.929262,
        0.865926,
        0.863367,
        0.858574,
        0.811924,
        0.74813,
        0.733727,
        0.44394,
        0.370028,
        0.252925,
        0.266599,
        0.313117,
        0.410622,
        0.420155,
        0.471143,
        0.605936,
        0.603671,
        0.370328,
        0.504554,
        0.458936,
        0.399736,
        0.576354,
        0.523622,
        0.414887,
        0.387798,
        0.54369,
        0.615959,
        0.619914,
        0.467076,
        0.668985,
        0.663292,
        0.597084,
        0.599029,
        0.470737,
        0.355546,
        0.48172,
        0.535646,
        0.51159,
        0.492813,
        0.382431,
        0.48772,
        0.464533,
        0.492552,
        0.580086,
        0.535869,
        0.462284,
        0.519889,
        0.538574,
        0.370193,
        0.406968,
        0.445499,
        0.415948,
        0.55535,
        0.384697,
        0.485497,
        0.573194,
        0.412806,
        0.450892,
        0.457729,
        0.510274,
        0.584044,
        0.512592,
        0.608308,
        0.434766,
        0.517745,
        0.53383,
        0.493172,
        0.500043,
        0.471693,
        0.590533,
        0.464016,
        0.547344,
        0.434997,
        0.53414,
        0.538796,
        0.466235,
        0.475675,
        0.50154,
        0.404863,
        0.473889,
        0.49138,
        0.493658,
        0.402168,
        0.361111,
        0.393887,
        0.452194,
        0.465864,
        0.49558,
        0.466637,
        0.428917,
        0.442977,
        0.425004,
        0.443858,
        0.435749,
        0.409106,
        0.44824,
        0.345402,
        0.50064,
        0.436115,
        0.433113,
        0.426839,
        0.450333,
        0.528714,
        0.487254,
        0.39547,
        0.445065,
        0.514379,
        0.474225,
        0.482706,
        0.517801,
        0.486242,
        0.500406,
        0.527106,
        0.50053,
        0.526333,
        0.48763,
        0.457785,
        0.618608,
        0.506517,
        0.491073,
        0.493358,
        0.550379,
        0.592277,
        0.475347,
        0.520264,
        0.415168,
        0.521905,
        0.421752,
        0.512795,
        0.475914,
        0.587666,
        0.508856,
        0.561976,
        0.447303,
        0.482876,
        0.54291,
        0.540564,
        0.496181,
        0.447507,
        0.477111,
        0.538756,
        0.497089,
        0.494472,
        0.535892,
        0.516314,
        0.484347,
        0.53771,
        0.504187,
        0.593664,
        null,
        0.539332,
        0.512139,
        0.506636,
        0.492845,
        0.490474,
        0.537388,
        0.589201,
        0.558398,
        0.510843,
        0.537119,
        0.552493,
        0.545226,
        0.529772,
        0.559406,
        0.548871,
        0.609092,
        0.614138,
        0.562567,
        0.539089,
        0.516752,
        0.480988,
        0.517499,
        0.575069,
        0.55624,
        0.533796,
        0.522014,
        0.543227,
        0.557783,
        0.560735,
        0.52944,
        0.535212,
        0.550026,
        0.501384,
        0.490892,
        0.510638,
        0.520099,
        0.486798,
        0.521625,
        0.550906,
        0.592112,
        0.565941,
        0.49507,
        0.536808,
        0.579878,
        0.519588,
        0.523883,
        0.544861,
        0.476472,
        0.503686,
        0.480402,
        0.457454,
        0.469696,
        0.48533,
        0.519878,
        0.525945,
        0.561103,
        0.566679,
        0.51429,
        0.498123,
        0.551527,
        0.588317,
        0.532225,
        0.548548,
        0.573642,
        0.594638,
        0.576584,
        0.546554,
        0.515001,
        0.557426,
        0.575788,
        0.581304,
        0.602096,
        0.610759,
        0.596549,
        0.63795,
        0.625927,
        0.630995,
        0.653746,
        0.616856,
        0.639343,
        0.67462,
        0.682685,
        0.652991,
        0.628198,
        0.685047,
        0.730171,
        0.759376,
        0.712763,
        0.761093,
        0.810279,
        0.855666,
        0.822791,
        0.822954,
        0.873514,
        0.917447,
        0.921833,
        0.87915,
        0.862302,
        0.852939,
        0.879499,
        0.883492,
        0.78938,
        0.642187,
        0.513365,
        0.286904,
        0.221617,
        0.24422,
        0.357113,
        0.438638,
        0.492403,
        0.491568,
        0.562149,
        0.587741,
        0.482289,
        0.452025,
        0.46163,
        0.47098,
        0.58948,
        0.547743,
        0.680429,
        0.692363,
        0.667381,
        0.511731,
        0.629407,
        0.604384,
        0.594381,
        0.52059,
        0.536263,
        0.571556,
        0.547012,
        0.569552,
        0.553828,
        0.554027,
        0.562719,
        0.562149,
        0.538559,
        0.574836,
        0.567726,
        0.57827,
        0.538206,
        0.566448,
        0.631034,
        0.565146,
        0.542349,
        0.533717,
        0.573194,
        0.516292,
        0.525185,
        0.559642,
        0.54868,
        0.512473,
        0.526526,
        0.53386,
        0.528736,
        0.524134,
        0.533296,
        0.537523,
        0.510373,
        0.488602,
        0.478468,
        0.512123,
        0.475279,
        0.498397,
        0.571478,
        0.560005,
        0.527734,
        0.500924,
        0.560761,
        0.554627,
        0.521757,
        0.542514,
        0.501644,
        0.506404,
        0.571351,
        0.541189,
        0.584284,
        0.545903,
        0.560584,
        0.533111,
        0.542148,
        0.552151,
        0.560163,
        0.551139,
        0.526882,
        0.483619,
        0.498689,
        0.499705,
        0.529332,
        0.531435,
        0.548496,
        0.55104,
        0.52451,
        0.527357,
        0.610341,
        0.551534,
        0.504923,
        0.5516,
        0.574045,
        0.552504,
        0.561857,
        0.557079,
        0.569822,
        0.59671,
        0.582184,
        0.585421,
        0.525163,
        0.563506,
        0.575017,
        0.488082,
        0.541273,
        0.526194,
        0.493243,
        0.522163,
        0.499134,
        0.440391,
        0.44049,
        0.447328,
        0.478592,
        0.478833,
        0.465218,
        0.433901,
        0.467473,
        0.462113,
        0.510615,
        0.48711,
        0.466479,
        0.493246,
        0.556501,
        0.551863,
        0.588388,
        0.51771,
        0.525894,
        0.522874,
        0.550593,
        0.565403,
        0.594517,
        0.579124,
        0.566749,
        0.593107,
        0.585782,
        0.586725,
        0.567304,
        0.590725,
        0.607764,
        0.62582,
        0.571975,
        0.614832,
        0.611581,
        0.582893,
        0.600584,
        0.617094,
        0.641369,
        0.646363,
        0.609513,
        0.575342,
        0.581132,
        0.662767,
        0.653965,
        0.654701,
        0.639392,
        0.628466,
        0.628367,
        0.593764,
        0.60145,
        0.581992,
        0.594397,
        0.693503,
        0.654389,
        0.567328,
        0.54789,
        0.520156,
        0.531536,
        0.48423,
        0.529363,
        0.520173,
        0.524699,
        0.507559,
        0.536482,
        0.53678,
        0.511672,
        0.490243,
        0.514442,
        0.537006,
        0.578129,
        0.532285,
        0.527303,
        0.579745,
        0.600981,
        0.534711,
        0.530546,
        0.574602,
        0.5987,
        0.54595,
        0.539537,
        0.558743,
        0.543713,
        0.580529,
        0.563921,
        0.527991,
        0.534029,
        0.527738,
        0.567633,
        0.564163,
        0.583056,
        0.516736,
        0.5626,
        0.510666,
        0.550596,
        0.558865,
        0.520642,
        0.50186,
        0.484783,
        0.552323,
        0.580738,
        0.600881,
        0.626307,
        0.539442,
        0.492445,
        0.583891,
        0.512694,
        0.514732,
        0.505453,
        0.632228,
        0.510301,
        0.602192,
        0.543295,
        0.497823,
        0.662727,
        0.696954,
        0.573638,
        0.464145,
        0.578749,
        0.57614,
        0.54926,
        0.464001,
        0.523689,
        0.525658,
        0.557126,
        0.563366,
        0.507267,
        0.521394,
        0.530378,
        0.488862,
        0.550685,
        0.583974,
        0.499803,
        0.529302,
        0.558721,
        0.530485,
        0.496561,
        0.548885,
        0.543423,
        0.527813,
        0.550697,
        0.549685,
        0.546923,
        0.555276,
        0.555599,
        0.548231,
        0.550856,
        0.573571,
        0.555446,
        0.546502,
        0.546655,
        0.531489,
        0.554212,
        0.541474,
        0.516533,
        0.509241,
        0.534795,
        0.518257,
        0.493156,
        0.535479,
        0.512456,
        0.493244,
        0.526225,
        0.487577,
        0.517173,
        0.556295,
        0.557992,
        0.519711,
        0.530868,
        0.522738,
        0.513012,
        0.557052,
        0.569683,
        0.569457,
        0.599026,
        0.559724,
        0.556714,
        0.550985,
        0.581663,
        0.600556,
        0.557507,
        0.514215,
        0.501801,
        0.552357,
        0.533386,
        0.528255,
        0.532338,
        0.517508,
        0.597856,
        0.592242,
        0.58924,
        0.529012,
        0.50754,
        0.536048,
        0.516982,
        0.565653,
        0.567737,
        0.509703,
        0.553979,
        0.554934,
        0.593545,
        0.577227,
        0.568451,
        0.505451,
        0.523494,
        0.563354,
        0.589098,
        0.548759,
        0.568599,
        0.523331,
        0.572819,
        0.585882,
        0.563831,
        0.519355,
        0.596996,
        0.610629,
        0.557397,
        0.515913,
        0.53426,
        0.572842,
        0.574578,
        0.545475,
        0.555476,
        0.562113,
        0.555296,
        0.552194,
        0.56329,
        0.569932,
        0.560148,
        0.600893,
        0.580895,
        0.540402,
        0.626002,
        0.58707,
        0.619715,
        0.571102,
        0.646639,
        0.630092,
        0.629388,
        0.603473,
        0.643716,
        0.698572,
        0.728024,
        0.75454,
        0.752426,
        0.744525,
        0.718268,
        0.744196,
        0.807485,
        0.799411,
        0.843869,
        0.874246,
        0.812689,
        0.824316,
        0.850556,
        0.855319,
        0.916234,
        0.9091,
        0.918795,
        0.915379,
        0.859296,
        0.827669,
        0.782521,
        0.775927,
        0.568708,
        0.398264,
        0.232288,
        0.244164,
        0.281024,
        0.40023,
        0.472554,
        0.495217,
        0.538319,
        0.511895,
        0.483558,
        0.528836,
        0.453521,
        0.489434,
        0.564312,
        0.581889,
        0.622508,
        0.539201,
        0.515471,
        0.528645,
        0.518064,
        0.604751,
        0.574147,
        1.37991,
        0.906919,
        0.604326,
        0.79469,
        0.559988,
        0.675781,
        0.649007,
        0.625111,
        0.700058,
        0.636396,
        0.613381,
        0.541925,
        0.521676,
        0.575474,
        0.60238,
        0.585416,
        0.582858,
        0.551919,
        0.600507,
        0.579553,
        0.609018,
        0.562534,
        0.565448,
        0.537452,
        0.565543,
        0.56568,
        0.559486,
        0.519233,
        0.443487,
        0.508481,
        0.550828,
        0.527066,
        0.499186,
        0.476229,
        0.49253,
        0.516209,
        0.580376,
        0.537962,
        0.530549,
        0.5137,
        0.54212,
        0.554721,
        0.491291,
        0.535139,
        0.583979,
        0.535119,
        0.479676,
        0.539806,
        0.604919,
        0.616287,
        0.599003,
        0.517348,
        0.532716,
        0.578876,
        0.571309,
        0.610664,
        0.56111,
        0.544128,
        0.579133,
        0.614277,
        0.576425,
        0.575606,
        0.544506,
        0.5638,
        0.556078,
        0.55128,
        0.578729,
        0.544513,
        0.55101,
        0.566154,
        0.563852,
        0.581822,
        0.588093,
        0.583558,
        0.606763,
        0.575661,
        0.577019,
        0.561921,
        0.614434,
        0.617074,
        0.57483,
        0.594218,
        0.567378,
        0.577206,
        0.607177,
        0.538861,
        0.577069,
        0.585211,
        0.572042,
        0.628341,
        0.595009,
        0.620478,
        0.603547,
        0.613994,
        0.592007,
        0.622265,
        0.597823,
        0.624869,
        0.609936,
        0.644697,
        0.601789,
        0.629077,
        0.621096,
        0.684233,
        0.683117,
        0.6654,
        0.695772,
        0.653366,
        0.648993,
        0.668211,
        0.666886,
        0.667142,
        0.663011,
        0.67668,
        0.703893,
        0.751289,
        0.679578,
        0.686904,
        0.694701,
        0.681953,
        0.650814,
        0.683706,
        0.662302,
        0.560573,
        0.591488,
        0.660466,
        0.60124,
        0.486454,
        0.529921,
        0.563155,
        0.642008,
        0.617242,
        0.593459,
        0.633515,
        0.574743,
        0.631363,
        0.607473,
        0.639942,
        0.647759,
        0.650975,
        0.643389,
        0.63961,
        0.666621,
        0.66035,
        0.61558,
        0.598785,
        0.672149,
        0.679434,
        0.621236,
        0.662105,
        0.689423,
        0.662518,
        0.674774,
        0.642608,
        0.65247,
        0.665064,
        0.680896,
        0.629541,
        0.636783,
        0.681771,
        0.689715,
        0.638175,
        0.664808,
        0.666584,
        0.650343,
        0.646679,
        0.66727,
        0.65475,
        0.65803,
        0.656945,
        0.684271,
        0.683422,
        0.672712,
        0.621193,
        0.62645,
        0.638473,
        0.679172,
        0.681763,
        0.681529,
        0.665228,
        0.681116,
        0.666237,
        0.669389,
        0.653041,
        0.639936,
        0.628633,
        0.671717,
        0.675083,
        0.593639,
        0.60565,
        0.601158,
        0.588213,
        0.603568,
        0.610312,
        0.640596,
        0.639249,
        0.645911,
        0.579937,
        0.60862,
        0.674626,
        0.638312,
        0.602016,
        0.594429,
        0.595216,
        0.606982,
        0.574117,
        0.642701,
        0.629921,
        0.644525,
        0.63427,
        0.62516,
        0.62987,
        0.604374,
        0.564649,
        0.565432,
        0.583575,
        0.616761,
        0.656834,
        0.637091,
        0.628469,
        0.636012,
        0.663958,
        0.673609,
        0.674463,
        0.717656,
        0.630724,
        0.64609,
        0.639692,
        0.576188,
        0.632163,
        0.627573,
        0.659042,
        0.619863,
        0.633615,
        0.612887,
        0.621885,
        0.628301,
        0.619966,
        0.618895,
        0.638892,
        0.632577,
        0.586745,
        0.636797,
        0.67335,
        0.577544,
        0.613059,
        0.611583,
        0.626188,
        0.629481,
        0.603747,
        0.607239,
        0.589494,
        0.654528,
        0.673834,
        0.594445,
        0.584887,
        0.566849,
        0.565075,
        0.570134,
        0.589515,
        0.571363,
        0.589678,
        0.570706,
        0.611771,
        0.61281,
        0.614427,
        0.63396,
        0.609414,
        0.56905,
        0.605952,
        0.601376,
        0.487257,
        0.485809,
        0.632466,
        0.585409,
        0.605586,
        0.605309,
        0.521058,
        0.549582,
        0.62239,
        0.601304,
        0.600423,
        0.575283,
        0.542896,
        0.54882,
        0.626787,
        0.590156,
        0.570137,
        0.523602,
        0.580996,
        0.565627,
        0.566762,
        0.564943,
        0.491296,
        0.586728,
        0.560687,
        0.585677,
        0.528149,
        0.507619,
        0.560455,
        0.55959,
        0.609336,
        0.552557,
        0.539821,
        0.536609,
        0.573866,
        0.584569,
        0.568741,
        0.526957,
        0.536954,
        0.502686,
        0.55245,
        0.534481,
        0.501991,
        0.559484,
        0.589717,
        0.568682,
        0.572296,
        0.541187,
        0.548391,
        0.560567,
        0.575041,
        0.601635,
        0.584872,
        0.555567,
        0.576717,
        0.601304,
        0.555452,
        0.576103,
        0.547091,
        0.548498,
        0.51342,
        0.539407,
        0.545015,
        0.525797,
        0.493481,
        0.556347,
        0.486444,
        0.560447,
        0.581231,
        0.580982,
        0.55071,
        0.57204,
        0.588422,
        0.580456,
        0.550381,
        0.520353,
        0.58312,
        0.550552,
        0.621763,
        0.605638,
        0.628233,
        0.592675,
        0.59853,
        0.593668,
        0.647301,
        0.679262,
        0.620952,
        0.624728,
        0.638491,
        0.644327,
        0.689473,
        0.63953,
        0.66521,
        0.631337,
        0.711567,
        0.762778,
        0.756288,
        0.704033,
        0.764354,
        0.79546,
        0.727858,
        0.763504,
        0.743134,
        0.658531,
        0.829789,
        0.795497,
        0.671494,
        0.7524,
        1.32397,
        0.881393,
        0.982735,
        0.851485,
        0.814103,
        0.677624,
        0.564954,
        0.375973,
        0.276442,
        0.254631,
        0.425867,
        0.449954,
        0.569996,
        0.663039,
        0.540676,
        0.560521,
        0.530566,
        0.525142,
        0.546895,
        0.470467,
        0.560467,
        0.548129,
        0.726493,
        0.644686,
        0.647171,
        0.62601,
        0.67707,
        0.644907,
        0.689354,
        0.713351,
        0.510285,
        0.648585,
        0.696873,
        0.692525,
        0.632111,
        0.644855,
        0.512954,
        0.622478,
        0.573259,
        0.536159,
        0.538113,
        0.61151,
        0.610977,
        0.561801,
        0.562626,
        0.584103,
        0.543279,
        0.513797,
        0.539869,
        0.554704,
        0.519335,
        0.546172,
        0.537038,
        0.485372,
        0.51805,
        0.540098,
        0.529361,
        0.550742,
        0.537042,
        0.543648,
        0.542364,
        0.516467,
        0.550712,
        0.523302,
        0.529839,
        0.508209,
        0.581976,
        0.532614,
        0.527349,
        0.557278,
        0.533824,
        0.551127,
        0.541463,
        0.558184,
        0.529022,
        0.535171,
        0.479547,
        0.513358,
        0.558989,
        0.525283,
        0.582965,
        0.586372,
        0.557924,
        0.588325,
        0.546069,
        0.607215,
        0.531218,
        0.533197,
        0.526978,
        0.527398,
        0.60506,
        0.613082,
        0.547997,
        0.553188,
        0.565173,
        0.557194,
        0.580219,
        0.637232,
        0.588639,
        0.636887,
        0.602088,
        0.560017,
        0.619935,
        0.584007,
        0.630319,
        0.624581,
        0.645925,
        0.613391,
        0.611409,
        0.620791,
        0.629007,
        0.657973,
        0.634475,
        0.642103,
        0.614551,
        0.570502,
        0.628593,
        0.657033,
        0.60894,
        0.554514,
        0.660152,
        0.630745,
        0.614719,
        0.583329,
        0.640355,
        0.633629,
        0.593758,
        0.538736,
        0.579216,
        0.5492,
        0.517111,
        0.541147,
        0.520892,
        0.526701,
        0.512581,
        0.571943,
        0.572306,
        0.569823,
        0.609612,
        0.525533,
        0.583842,
        0.576663,
        0.527795,
        0.591314,
        0.595062,
        0.598569,
        0.588134,
        0.530715,
        0.556241,
        0.627281,
        0.566124,
        0.578492,
        0.566693,
        0.570824,
        0.575341,
        0.543235,
        0.57202,
        0.591723,
        0.583488,
        0.582912,
        0.539773,
        0.5921,
        0.651946,
        0.605708,
        0.578076,
        0.523241,
        0.535425,
        0.550331,
        0.52627,
        0.591637,
        0.569157,
        0.537371,
        0.506195,
        0.536476,
        0.520644,
        0.550607,
        0.505202,
        0.459724,
        0.48472,
        0.417107,
        0.524239,
        0.565909,
        0.482675,
        0.528387,
        0.527826,
        0.505061,
        0.456644,
        0.482257,
        0.608248,
        0.604647,
        0.504165,
        0.404742,
        0.468085,
        0.585337,
        0.625472,
        0.582715,
        0.502748,
        0.416125,
        0.451331,
        0.435407,
        0.452732,
        0.536283,
        0.373799,
        0.460996,
        0.516966,
        0.441422,
        0.588059,
        0.508692,
        0.630752,
        0.598556,
        0.453911,
        0.466351,
        0.546171,
        0.569846,
        0.507178,
        0.500105,
        0.577489,
        0.562942,
        0.581721,
        0.528395,
        0.494123,
        0.536109,
        0.54896,
        0.503358,
        0.456817,
        0.443099,
        0.447436,
        0.506753,
        0.502858,
        0.493531,
        0.545078,
        0.479728,
        0.49053,
        0.531653,
        0.497295,
        0.560291,
        0.466807,
        0.512924,
        0.494418,
        0.459173,
        0.530873,
        0.506722,
        0.48872,
        0.518354,
        0.534255,
        0.510095,
        0.516359,
        0.515552,
        0.516359,
        0.475517,
        0.460221,
        0.539952,
        0.515926,
        0.522771,
        0.485195,
        0.524226,
        0.553101,
        0.559849,
        0.453452,
        0.528749,
        0.49543,
        0.50715,
        0.502999,
        0.491526,
        0.55775,
        0.4827,
        0.52044,
        0.499418,
        0.50505,
        0.581461,
        0.572388,
        0.548983,
        0.52222,
        0.511254,
        0.459873,
        0.384323,
        0.467548,
        0.442282,
        0.504942,
        0.498254,
        0.555722,
        0.543839,
        0.552851,
        0.567181,
        0.547082,
        0.566383,
        0.460033,
        0.46999,
        0.553864,
        0.527017,
        0.452326,
        0.550457,
        0.522792,
        0.468737,
        0.50551,
        0.525031,
        0.432094,
        0.494172,
        0.47109,
        0.523969,
        0.601034,
        0.598635,
        0.542853,
        0.553299,
        0.564784,
        0.586516,
        0.517143,
        0.520648,
        0.513033,
        0.505659,
        0.518292,
        0.522561,
        0.614768,
        0.549506,
        0.554606,
        0.595062,
        0.562377,
        0.556403,
        0.557776,
        0.528297,
        0.568512,
        0.532165,
        0.559528,
        0.526553,
        0.579808,
        0.52231,
        0.5784,
        0.548958,
        0.585763,
        0.578953,
        0.534172,
        0.564511,
        0.548992,
        0.525954,
        0.529049,
        0.499998,
        0.526994,
        0.502761,
        0.513322,
        0.456747,
        0.462639,
        0.434623,
        0.443812,
        0.466949,
        0.479845,
        0.465224,
        0.475755,
        0.499316,
        0.452711,
        0.504584,
        0.528659,
        0.54182,
        0.490239,
        0.515083,
        0.551101,
        0.486774,
        0.520801,
        0.521764,
        0.535213,
        0.551969,
        0.554106,
        0.57757,
        0.52697,
        0.5207,
        0.513217,
        0.50124,
        0.504585,
        0.44293,
        0.499365,
        0.495478,
        0.521762,
        0.505328,
        0.504538,
        0.499153,
        0.524413,
        0.507564,
        0.51389,
        0.556493,
        0.538972,
        0.538251,
        0.538844,
        0.54431,
        0.543451,
        0.497376,
        0.50647,
        0.493178,
        0.505304,
        0.585986,
        0.533582,
        0.486586,
        0.543387,
        0.50911,
        0.502972,
        0.511671,
        0.488899,
        0.502366,
        0.472374,
        0.500298,
        0.46035,
        0.498157,
        0.482756,
        0.464101,
        0.520792,
        0.489448,
        0.55125,
        0.530845,
        0.505936,
        0.508501,
        0.4722,
        0.541951,
        0.596962,
        0.521702,
        0.536711,
        0.50967,
        0.472517,
        0.496289,
        0.532775,
        0.541985,
        0.550591,
        0.519646,
        0.528081,
        0.483865,
        0.477041,
        0.472159,
        0.502805,
        0.53536,
        0.589542,
        0.571535,
        0.549841,
        0.514042,
        0.532384,
        0.563628,
        0.55368,
        0.511217,
        0.56203,
        0.584721,
        0.570315,
        0.54193,
        0.502225,
        0.52783,
        0.596794,
        0.597038,
        0.517506,
        0.490154,
        0.561046,
        0.590735,
        0.54899,
        0.509092,
        0.509796,
        0.538414,
        0.531873,
        0.599674,
        0.52004,
        0.58107,
        0.580915,
        0.583498,
        0.53238,
        0.538486,
        0.599863,
        0.62134,
        0.562324,
        0.549336,
        0.57367,
        0.53531,
        0.517244,
        0.529436,
        0.528565,
        0.578237,
        0.522051,
        0.57681,
        0.598385,
        0.530845,
        0.533411,
        0.547855,
        0.503787,
        0.544829,
        0.61379,
        0.623934,
        0.528528,
        0.603862,
        0.616531,
        0.636651,
        0.569068,
        0.602505,
        0.588517,
        0.594204,
        0.622129,
        0.577485,
        0.630215,
        0.593163,
        0.546518,
        0.549889,
        0.582802,
        0.638519,
        0.585037,
        0.603384,
        0.607588,
        0.602177,
        0.580451,
        0.592721,
        0.631345,
        0.583531,
        0.601953,
        0.584448,
        0.639538,
        0.595444,
        0.57641,
        0.622381,
        0.693878,
        0.665452,
        0.681584,
        0.656979,
        0.649505,
        0.665068,
        0.650131,
        0.629035,
        0.601473,
        0.640511,
        0.625213,
        0.546543,
        0.581033,
        0.5568,
        0.58891,
        0.550947,
        0.508207,
        0.49536,
        0.479653,
        0.503775,
        0.521899,
        0.494677,
        0.559768,
        0.556188,
        0.533661,
        0.542561,
        0.53595,
        0.581025,
        0.531126,
        0.521744,
        0.537947,
        0.527,
        0.523374,
        0.518433,
        0.525231,
        0.52387,
        0.572793,
        0.61111,
        0.542135,
        0.598622,
        0.518109,
        0.617534,
        0.563232,
        0.529987,
        0.536754,
        0.488487,
        0.496318,
        0.557571,
        0.530053,
        0.571621,
        0.55055,
        0.551371,
        0.578371,
        0.532349,
        0.629629,
        0.567945,
        0.607294,
        0.528406,
        0.52481,
        0.53477,
        0.509159,
        0.535746,
        0.544847,
        0.524462,
        0.512481,
        0.480851,
        0.539087,
        0.464405,
        0.495514,
        0.59562,
        0.531379,
        0.569101,
        0.572464,
        0.390496,
        0.474562,
        0.418537,
        0.475827,
        0.560488,
        0.546557,
        0.563521,
        0.55189,
        0.550489,
        0.563204,
        0.525131,
        0.50444,
        0.532577,
        0.514786,
        0.572259,
        0.648455,
        0.566821,
        0.54794,
        0.525464,
        0.491104,
        0.529604,
        0.52576,
        0.517555,
        0.478997,
        0.523397,
        0.530067,
        0.510432,
        0.583472,
        0.583495,
        0.486022,
        0.466144,
        0.540911,
        0.563109,
        0.503228,
        0.506599,
        0.586023,
        0.548388,
        0.494449,
        0.545701,
        0.515341,
        0.495092,
        0.587412,
        0.54625,
        0.510094,
        0.462345,
        0.509535,
        0.537327,
        0.527585,
        0.486677,
        0.515232,
        0.541334,
        0.533695,
        0.541317,
        0.55253,
        0.594631,
        0.443354,
        0.509921,
        0.508974,
        0.509478,
        0.530283,
        0.548724,
        0.529306,
        0.484044,
        0.50255,
        0.475644,
        0.53482,
        0.535793,
        0.551233,
        0.522191,
        0.569681,
        0.495471,
        0.494893,
        0.502582,
        0.533518,
        0.507058,
        0.438104,
        0.512935,
        0.509407,
        0.465097,
        0.569201,
        0.576381,
        0.486272,
        0.500701,
        0.574371,
        0.548872,
        0.492742,
        0.507604,
        0.545469,
        0.505476,
        0.506804,
        0.580958,
        0.489606,
        0.527115,
        0.494482,
        0.554919,
        0.587418,
        0.54577,
        0.572543,
        0.585696,
        0.565431,
        0.539325,
        0.567073,
        0.528092,
        0.573148,
        0.491951,
        0.521782,
        0.572044,
        0.518387,
        0.536172,
        0.561293,
        0.542559,
        0.544267,
        0.497271,
        0.549582,
        0.545493,
        0.602746,
        0.560432,
        0.629572,
        0.560735,
        0.547523,
        0.569136,
        0.555162,
        0.547071,
        0.610623,
        0.596816,
        0.57032,
        0.506073,
        0.574217,
        0.564875,
        0.576939,
        0.583746,
        0.548793,
        0.574104,
        0.58321,
        0.553066,
        0.54492,
        0.510658,
        0.518068,
        0.552989,
        0.587014,
        0.494963,
        0.515981,
        0.464102,
        0.503138,
        0.546813,
        0.514445,
        0.510214,
        0.450745,
        0.515575,
        0.478025,
        0.491279,
        0.539298,
        0.584117,
        0.577932,
        0.511052,
        0.580683,
        0.60482,
        0.577379,
        0.55216,
        0.580495,
        0.548659,
        0.509796,
        0.583962,
        0.590915,
        0.523136,
        0.619331,
        0.549795,
        0.546736,
        0.45849,
        0.554211,
        0.595444,
        0.59656,
        0.520222,
        0.581657,
        0.582179,
        0.564692,
        0.517334,
        0.534662,
        0.541169,
        0.504466,
        0.610948,
        0.560077,
        0.58513,
        0.550418,
        0.562996,
        0.558863,
        0.497227,
        0.526299,
        0.545833,
        0.597306,
        0.477457,
        0.467397,
        0.531461,
        0.607179,
        0.582386,
        0.557644,
        0.578882,
        0.554096,
        0.585004,
        0.568257,
        0.582049,
        0.571819,
        0.513077,
        0.533662,
        0.596034,
        0.575923,
        0.588325,
        0.561055,
        0.571609,
        0.584011,
        0.539481,
        0.640905,
        0.629922,
        0.541345,
        0.589514,
        0.602085,
        0.595194,
        0.532522,
        0.683733,
        0.640433,
        0.567441,
        0.65128,
        0.538208,
        0.568768,
        0.60054,
        0.548619,
        0.567275,
        0.568772,
        0.489578,
        0.509983,
        0.476282,
        0.534531,
        0.573407,
        0.59375,
        0.588039,
        0.492084,
        0.542073,
        0.549392,
        0.553545,
        0.611168,
        0.567303,
        0.587852,
        0.633586,
        0.584699,
        0.636101,
        0.58231,
        0.599277,
        0.569395,
        0.603231,
        0.641966,
        0.570019,
        0.625155,
        0.594871,
        0.509563,
        0.543999,
        0.580401,
        0.562223,
        0.584581,
        0.565396,
        0.642962,
        0.603133,
        0.558699,
        0.58183,
        0.602449,
        0.562804,
        0.586891,
        0.566074,
        0.617337,
        0.55785,
        0.584027,
        0.522882,
        0.620144,
        0.632207,
        0.639079,
        0.590233,
        0.665563,
        0.66309,
        0.646178,
        0.637956,
        0.739778,
        0.715554,
        0.659273,
        0.676219,
        0.742516,
        0.585186,
        0.714238,
        0.766611,
        0.688195,
        0.725948,
        0.699082,
        0.854395,
        0.854214,
        0.83501,
        0.929856,
        0.827013,
        0.858441,
        0.780886,
        0.817064,
        0.965989,
        0.771867,
        0.924738,
        0.855792,
        0.827936,
        0.779546,
        0.650794,
        0.508102,
        0.277772,
        0.328565,
        0.195396,
        0.323153,
        0.449527,
        0.415421,
        0.557675,
        0.598285,
        0.383302,
        0.588107,
        0.537098,
        0.413157,
        0.535223,
        0.519307,
        0.378836,
        0.566193,
        0.48877,
        0.659772,
        0.913548,
        0.864734,
        0.848044,
        0.804509,
        0.809615,
        0.515077,
        0.673163,
        0.690294,
        0.633998,
        0.637141,
        0.574305,
        0.588782,
        0.494629,
        0.708817,
        0.457497,
        0.583115,
        0.572948,
        0.578596,
        0.498154,
        0.568906,
        0.588439,
        0.480114,
        0.443374,
        0.480881,
        0.517329,
        0.570696,
        0.493928,
        0.487779,
        0.566546,
        0.588834,
        0.396294,
        0.540433,
        0.454466,
        0.534238,
        0.509197,
        0.42232,
        0.502568,
        0.430229,
        0.570287,
        0.519924,
        0.463667,
        0.522139,
        0.549698,
        0.602014,
        0.596693,
        0.619546,
        0.637715,
        0.483027,
        0.513247,
        0.536965,
        0.597111,
        0.515187,
        0.534737,
        0.571515,
        0.41442,
        0.568171,
        0.544748,
        0.4797,
        0.535744,
        0.491412,
        0.539198,
        0.483697,
        0.538892,
        0.53629,
        0.533318,
        0.532142,
        0.493483,
        0.554593,
        0.589836,
        0.473271,
        0.421983,
        0.524322,
        0.487266,
        0.457679,
        0.441064,
        0.497916,
        0.516531,
        0.56639,
        0.520683,
        0.50733,
        0.554706,
        0.598651,
        0.553301,
        0.586374,
        0.450083,
        0.48916,
        0.557676,
        0.475893,
        0.571092,
        0.496174,
        0.564872,
        0.510618,
        0.520341,
        0.581697,
        0.521118,
        0.503891,
        0.509408,
        0.539702,
        0.476189,
        0.548553,
        0.535564,
        0.498174,
        0.559207,
        0.465996,
        0.464573,
        0.534063,
        0.476584,
        0.512338,
        0.553941,
        0.48945,
        0.546418,
        0.592967,
        0.597364,
        0.520119,
        0.409172,
        0.448729,
        0.501181,
        0.581211,
        0.502223,
        0.545172,
        0.476983,
        0.42287,
        0.566734,
        0.674518,
        0.548058,
        0.449181,
        0.435663,
        0.512036,
        0.725262,
        0.849866,
        0.583381,
        0.714456,
        0.44628,
        0.692298,
        0.508008,
        0.457498,
        0.53908,
        0.50067,
        0.494577,
        null,
        0.619073,
        0.553921,
        0.481053,
        0.560635,
        0.520372,
        0.494519,
        0.445274,
        0.53756,
        0.645562,
        0.583538,
        0.506767,
        0.462063,
        0.609772,
        0.577638,
        0.499518,
        0.545233,
        0.526382,
        0.483315,
        0.477978,
        0.46061,
        0.624498,
        0.663922,
        0.443616,
        0.437836,
        0.445965,
        0.634079,
        0.794378,
        0.706849,
        0.654837,
        0.726671,
        0.759158,
        0.669531,
        0.724639,
        0.747418,
        0.724657,
        0.71071,
        0.738953,
        0.807811,
        0.833334,
        0.900199,
        0.880209,
        0.884296,
        0.869675,
        0.86911,
        0.949836,
        0.947941,
        0.900323,
        0.844127,
        0.93169,
        0.897157,
        0.902456,
        0.702248,
        0.472431,
        0.332662,
        0.24085,
        0.317237,
        0.406491,
        0.550291,
        0.613044,
        0.537246,
        0.524067,
        0.561724,
        0.603181,
        0.5707,
        0.535019,
        0.57361,
        0.572817,
        0.710949,
        0.654949,
        0.751192,
        0.790937,
        0.587292,
        0.610019,
        0.622928,
        0.739721,
        0.827714,
        0.530499,
        0.638481,
        0.589203,
        0.654281,
        0.574345,
        0.57378,
        0.571144,
        0.606814,
        0.560989,
        0.541065,
        0.6939,
        0.66881,
        0.602647,
        0.542671,
        0.600699,
        0.559029,
        0.532473,
        0.491155,
        0.516696,
        0.55804,
        0.593032,
        0.600256,
        0.557972,
        0.573303,
        0.556662,
        0.508841,
        0.509154,
        0.516596,
        0.531138,
        0.530769,
        0.568493,
        0.591786,
        0.57953,
        0.532087,
        0.523158,
        0.528823,
        0.519318,
        0.541483,
        0.623504,
        0.587176,
        0.555561,
        0.525529,
        0.526207,
        0.533419,
        0.589082,
        0.619555,
        0.614532,
        0.559695,
        0.5701,
        0.595544,
        0.617799,
        0.585612,
        0.582939,
        0.554867,
        0.541948,
        0.563838,
        0.521433,
        0.514679,
        0.552987,
        0.568564,
        0.608238,
        0.57906,
        0.576146,
        0.551544,
        0.55911,
        0.520449,
        0.536322,
        0.551597,
        0.581495,
        0.53537,
        0.579364,
        0.573138,
        0.544798,
        0.561362,
        0.594889,
        0.566768,
        0.473617,
        0.516626,
        0.546497,
        0.522919,
        0.551113,
        0.570911,
        0.585974,
        0.656388,
        0.605454,
        0.611092,
        0.610262,
        0.614682,
        0.575497,
        0.575116,
        0.568238,
        0.608535,
        0.596666,
        0.6353,
        0.605705,
        0.550555,
        0.578257,
        0.606939,
        0.488048,
        0.496509,
        0.490839,
        0.522148,
        0.488347,
        0.478,
        0.414456,
        0.463817,
        0.483678,
        0.514775,
        0.498173,
        0.465758,
        0.493908,
        0.548234,
        0.539648,
        0.509921,
        0.527379,
        0.575533,
        0.572196,
        0.535544,
        0.568368,
        0.531701,
        0.541875,
        0.573775,
        0.599388,
        0.57369,
        0.600169,
        0.600147,
        0.570862,
        0.544353,
        0.526428,
        0.538749,
        0.53262,
        0.527762,
        0.519828,
        0.50694,
        0.522695,
        0.540296,
        0.582794,
        0.601082,
        0.567628,
        0.532266,
        0.516291,
        0.545139,
        0.519544,
        0.517597,
        0.53906,
        0.529189,
        0.54915,
        0.571189,
        0.532619,
        0.526248,
        0.50952,
        0.52951,
        0.578637,
        0.564307,
        0.58216,
        0.567692,
        0.517524,
        0.47317,
        0.518617,
        0.582624,
        0.560071,
        0.554473,
        0.565873,
        0.550988,
        0.511063,
        0.504352,
        0.537997,
        0.529096,
        0.507195,
        0.465735,
        0.509374,
        0.535533,
        0.542758,
        0.535021,
        0.516712,
        0.572391,
        0.592207,
        0.546096,
        0.505058,
        0.550921,
        0.546815,
        0.574258,
        0.574041,
        0.542486,
        0.56873,
        0.568243,
        0.578915,
        0.535553,
        0.501455,
        0.517202,
        0.490701,
        0.504429,
        0.541909,
        0.535628,
        0.531578,
        0.481916,
        0.494978,
        0.530994,
        0.551905,
        0.53902,
        0.565069,
        0.508309,
        0.532893,
        0.538875,
        0.552797,
        0.531351,
        0.491812,
        0.545296,
        0.585048,
        0.587986,
        0.581389,
        0.53411,
        0.545935,
        0.543357,
        0.553337,
        0.546897,
        0.508418,
        0.543997,
        0.554216,
        0.542156,
        0.535881,
        0.534915,
        0.533425,
        0.543341,
        0.57656,
        0.600666,
        0.549251,
        0.52598,
        0.509251,
        0.493064,
        0.519576,
        0.52842,
        0.538893,
        0.491544,
        0.488058,
        0.55211,
        0.566879,
        0.558327,
        0.561596,
        0.562909,
        0.572572,
        0.593086,
        0.53064,
        0.552336,
        0.510452,
        0.587639,
        0.53737,
        0.538127,
        0.524508,
        0.542985,
        0.612055,
        0.536543,
        0.522811,
        0.529683,
        0.556487,
        0.54977,
        0.567384,
        0.517813,
        0.504484,
        0.506002,
        0.534504,
        0.521645,
        0.509131,
        0.500577,
        0.518829,
        0.513425,
        0.534263,
        0.551368,
        0.511078,
        0.479966,
        0.526636,
        0.539568,
        0.553037,
        0.509135,
        0.566721,
        0.572313,
        0.548961,
        0.54727,
        0.580136,
        0.554784,
        0.552611,
        0.518186,
        0.550221,
        0.569463,
        0.54209,
        0.484961,
        0.552958,
        0.578418,
        0.531353,
        0.556134,
        0.577823,
        0.537572,
        0.49869,
        0.538103,
        0.556802,
        0.505147,
        0.5433,
        0.583367,
        0.551202,
        0.468253,
        0.557547,
        0.561134,
        0.526362,
        0.541614,
        0.548975,
        0.603795,
        0.589793,
        0.560207,
        0.555502,
        0.564876,
        0.538314,
        0.504108,
        0.528608,
        0.4919,
        0.519337,
        0.53929,
        0.543036,
        0.55231,
        0.530736,
        0.52998,
        0.590015,
        0.558222,
        0.533487,
        0.514982,
        0.524601,
        0.54712,
        0.535541,
        0.535451,
        0.515481,
        0.510987,
        0.583708,
        0.536399,
        0.579264,
        0.516567,
        0.499896,
        0.470479,
        0.571384,
        0.558064,
        0.528178,
        0.526186,
        0.508071,
        0.518582,
        0.500444,
        0.522602,
        0.551692,
        0.582413,
        0.607458,
        0.561267,
        0.6063,
        0.547855,
        0.484721,
        0.578837,
        0.563734,
        0.527824,
        0.573402,
        0.606357,
        0.565682,
        0.609491,
        0.595521,
        0.575636,
        0.576941,
        0.585102,
        0.565812,
        0.569228,
        0.659864,
        0.741845,
        0.766234,
        0.7262,
        0.750198,
        0.726714,
        0.737582,
        0.74163,
        0.815414,
        0.787441,
        0.800569,
        0.858799,
        0.871094,
        0.874059,
        0.89347,
        0.868782,
        0.902982,
        0.926029,
        0.896176,
        0.930574,
        0.915225,
        0.827314,
        0.75343,
        0.576635,
        0.453638,
        0.283043,
        0.242945,
        0.317471,
        0.418394,
        0.46934,
        0.520419,
        0.534892,
        0.474118,
        0.472013,
        0.543824,
        0.462,
        0.483572,
        0.551475,
        0.630903,
        0.584605,
        0.545411,
        0.474756,
        0.554344,
        0.763839,
        0.965001,
        0.908051,
        0.932107,
        0.576515,
        0.55403,
        0.651629,
        0.581554,
        0.543933,
        0.522465,
        0.583265,
        0.509826,
        0.591657,
        0.543319,
        0.587177,
        0.595801,
        0.553839,
        0.552431,
        0.571717,
        0.563671,
        0.643179,
        0.674345,
        0.588759,
        0.570832,
        0.557759,
        0.537575,
        0.548444,
        0.539202,
        0.603506,
        0.639113,
        0.613622,
        0.542116,
        0.571794,
        0.540547,
        0.592451,
        0.55524,
        0.514636,
        0.540349,
        0.570978,
        0.521249,
        0.501898,
        0.53717,
        0.427797,
        0.44226,
        0.463348,
        0.469775,
        0.46458,
        0.511346,
        0.477961,
        0.513523,
        0.520374,
        0.486375,
        0.433419,
        0.485266,
        0.5382,
        0.584482,
        0.58742,
        0.527519,
        0.525996,
        0.548496,
        0.547338,
        0.541885,
        0.506431,
        0.547673,
        0.554788,
        0.49536,
        0.522124,
        0.509798,
        0.546296,
        0.516969,
        0.524133,
        0.570805,
        0.595877,
        0.56868,
        0.584574,
        0.526415,
        0.469189,
        0.465002,
        0.523717,
        0.525268,
        0.535369,
        0.516346,
        0.477689,
        0.549931,
        0.562848,
        0.547992,
        0.5454,
        0.538015,
        0.545671,
        0.49619,
        0.548496,
        0.48909,
        0.482243,
        0.481868,
        0.512087,
        0.528494,
        0.538048,
        0.522461,
        0.520432,
        0.521385,
        0.497769,
        0.581184,
        0.581932,
        0.505392,
        0.570329,
        0.553333,
        0.53818,
        0.509136,
        0.547309,
        0.548506,
        0.524779,
        0.505969,
        0.526925,
        0.55332,
        0.531354,
        0.553809,
        0.518792,
        0.539629,
        0.532349,
        0.493907,
        0.522744,
        0.587461,
        0.565779,
        0.563041,
        0.563633,
        0.553717,
        0.512851,
        0.551403,
        0.547166,
        0.560391,
        0.517222,
        0.516422,
        0.461744,
        0.525776,
        0.556081,
        0.511539,
        0.549272,
        0.519887,
        0.54972,
        0.54386,
        0.511004,
        0.504074,
        0.528517,
        0.588207,
        0.555495,
        0.529621,
        0.526344,
        0.54856,
        0.515087,
        0.536807,
        0.538202,
        0.5089,
        0.518654,
        0.558017,
        0.431008,
        0.447209,
        0.498245,
        0.5323,
        0.529165,
        0.568934,
        0.536227,
        0.527722,
        0.570645,
        0.592711,
        0.563099,
        0.537492,
        0.524113,
        0.539687,
        0.485998,
        0.576999,
        0.619705,
        0.619637,
        0.586468,
        0.564227,
        0.546881,
        0.581831,
        0.523755,
        0.568295,
        0.545495,
        0.480968,
        0.55386,
        0.523203,
        0.54067,
        0.582898,
        0.585575,
        0.631544,
        0.549854,
        0.584388,
        0.560837,
        0.583658,
        0.567186,
        0.559928,
        0.567178,
        0.569244,
        0.549056,
        0.568533,
        0.575806,
        0.573795,
        0.566319,
        0.519459,
        0.525372,
        0.553184,
        0.592694,
        0.564617,
        0.480711,
        0.471402,
        0.547899,
        0.421841,
        0.477653,
        0.564872,
        0.577824,
        0.48156,
        0.502195,
        0.615452,
        0.593661,
        0.631682,
        0.527481,
        0.380475,
        0.511641,
        0.676124,
        0.615604,
        0.4898,
        0.405782,
        0.507506,
        0.620645,
        0.485876,
        0.548253,
        0.562975,
        0.614785,
        0.475603,
        0.433598,
        0.582091,
        0.553667,
        0.458898,
        0.499314,
        0.558167,
        0.571464,
        0.506243,
        0.474463,
        0.527972,
        0.578927,
        0.505722,
        0.532856,
        0.561225,
        0.611978,
        0.553349,
        0.552394,
        0.476278,
        0.502485,
        0.410785,
        0.537594,
        0.565368,
        0.540248,
        0.611965,
        0.591464,
        0.572118,
        0.551107,
        0.534471,
        0.565483,
        0.508084,
        0.558035,
        0.531853,
        0.508896,
        0.522988,
        0.54688,
        0.489474,
        0.456859,
        0.439982,
        0.508368,
        0.481597,
        0.506431,
        0.495337,
        0.49013,
        0.597575,
        0.441505,
        0.46891,
        0.49725,
        0.51454,
        0.486075,
        0.505659,
        0.501229,
        0.544499,
        0.510545,
        0.478165,
        0.477494,
        0.533054,
        0.598999,
        0.534998,
        0.518067,
        0.546772,
        0.581804,
        0.536343,
        0.424259,
        0.332627,
        0.494903,
        0.58959,
        0.617556,
        0.595648,
        0.527163,
        0.549402,
        0.586109,
        0.551805,
        0.532927,
        0.489057,
        0.447304,
        0.417546,
        0.584731,
        0.531405,
        0.52205,
        0.558067,
        0.487715,
        0.503522,
        0.573387,
        0.548909,
        0.501149,
        0.537272,
        0.425466,
        0.541945,
        0.567952,
        0.500909,
        0.521898,
        0.482648,
        0.547804,
        0.545933,
        0.539782,
        0.516052,
        0.549518,
        0.574279,
        0.607965,
        0.557999,
        0.544252,
        0.575264,
        0.530185,
        0.456663,
        0.501339,
        0.495265,
        0.513257,
        0.567657,
        0.580727,
        0.595715,
        0.586869,
        0.52533,
        0.558397,
        0.554294,
        0.576053,
        0.545433,
        0.52618,
        0.581195,
        0.62396,
        0.587535,
        0.530463,
        0.550379,
        0.578129,
        0.603077,
        0.645327,
        0.620694,
        0.6181,
        0.602312,
        0.626593,
        0.6502,
        0.558244,
        0.566659,
        0.59925,
        0.582039,
        0.614896,
        0.675773,
        0.612626,
        0.609491,
        0.599535,
        0.651522,
        0.608313,
        0.577077,
        0.632675,
        0.620294,
        0.645889,
        0.627747,
        0.636235,
        0.607416,
        0.604346,
        0.666203,
        0.665343,
        0.69342,
        0.708949,
        0.758393,
        0.781215,
        0.767189,
        0.770475,
        0.83646,
        0.837606,
        0.853768,
        0.854223,
        0.838299,
        0.846984,
        0.846216,
        0.828573,
        0.887305,
        0.975403,
        0.974363,
        1.00463,
        0.913701,
        0.957221,
        0.889889,
        0.861862,
        0.718821,
        0.608032,
        0.482907,
        0.303637,
        0.240311,
        0.24136,
        0.405019,
        0.577911,
        0.440727,
        0.585441,
        0.5252,
        0.509388,
        0.4724,
        0.47714,
        0.449326,
        0.499862,
        0.50511,
        0.468419,
        0.522598,
        0.702876,
        0.824815,
        0.657439,
        0.65151,
        0.647971,
        0.465776,
        0.740353,
        0.625465,
        0.620261,
        0.592573,
        0.600806,
        0.645759,
        0.584869,
        0.554879,
        0.543809,
        0.586951,
        0.484431,
        0.565007,
        0.536828,
        0.633337,
        0.580058,
        0.565776,
        0.551318,
        0.573683,
        0.482959,
        0.459926,
        0.482374,
        0.559102,
        0.546636,
        0.546355,
        0.494041,
        0.500919,
        0.452851,
        0.507943,
        0.505271,
        0.493413,
        0.500517,
        0.514523,
        0.545049,
        0.517695,
        0.473872,
        0.469125,
        0.547696,
        0.539011,
        0.533389,
        0.55306,
        0.547351,
        0.533719,
        0.583304,
        0.478196,
        0.48053,
        0.53422,
        0.545903,
        0.527219,
        0.517718,
        0.527466,
        0.563154,
        0.586126,
        0.567053,
        0.518389,
        0.440896,
        0.497667,
        0.572938,
        0.500338,
        0.512127,
        0.538041,
        0.477497,
        0.510116,
        0.542073,
        0.520892,
        0.546165,
        0.531393,
        0.486379,
        0.454002,
        0.379514,
        0.438547,
        0.634625,
        0.565712,
        0.515873,
        0.469706,
        0.529281,
        0.430629,
        0.427361,
        0.575149,
        0.491939,
        0.512712,
        0.50712,
        0.543792,
        0.516449,
        0.514726,
        0.494782,
        0.56288,
        0.534379,
        0.517585,
        0.529211,
        0.530202,
        0.498577,
        0.522301,
        0.505166,
        0.517798,
        0.518968,
        0.494179,
        0.53331,
        0.593135,
        0.518589,
        0.516165,
        0.518409,
        0.486765,
        0.473396,
        0.512036,
        0.526078,
        0.494568,
        0.548438,
        0.500144,
        0.528727,
        0.540802,
        0.592211,
        0.52238,
        0.553398,
        0.526935,
        0.527539,
        0.536888,
        0.566308,
        0.535657,
        0.525337,
        0.499211,
        0.534137,
        0.50699,
        0.529464,
        0.465401,
        0.523967,
        0.590314,
        0.604305,
        0.578444,
        0.537233,
        0.509989,
        0.548196,
        0.496119,
        0.555364,
        0.560816,
        0.497275,
        0.531104,
        0.534473,
        0.519032,
        0.548951,
        0.53682,
        0.522989,
        0.532973,
        0.556569,
        0.577646,
        0.559009,
        0.55179,
        0.51591,
        0.520452,
        0.524356,
        0.52365,
        0.490171,
        0.504666,
        0.523487,
        0.480718,
        0.498251,
        0.534352,
        0.580426,
        0.530315,
        0.569219,
        0.598293,
        0.504369,
        0.515467,
        0.543997,
        0.525766,
        0.439244,
        0.394057,
        0.507075,
        0.487129,
        0.499597,
        0.558768,
        0.578582,
        0.471558,
        0.396703,
        0.481663,
        0.442528,
        0.464468,
        0.599473,
        0.512712,
        0.539393,
        0.607429,
        0.58355,
        0.456874,
        0.500749,
        0.508366,
        0.506918,
        0.466126,
        0.516307,
        0.437373,
        0.502632,
        0.507642,
        0.529457,
        0.524727,
        0.490257,
        0.489049,
        0.388804,
        0.515482,
        0.43116,
        0.521641,
        0.549969,
        0.496579,
        0.548762,
        0.512416,
        0.556012,
        0.534773,
        0.541909,
        0.579264,
        0.517824,
        0.570257,
        0.515902,
        0.527261,
        0.535707,
        0.5128,
        0.507401,
        0.491916,
        0.510757,
        0.532649,
        0.481543,
        0.506845,
        0.551743,
        0.524885,
        0.572066,
        0.591054,
        0.504396,
        0.523174,
        0.528894,
        0.530235,
        0.486954,
        0.555461,
        0.522699,
        0.558682,
        0.468646,
        0.506974,
        0.544293,
        0.550617,
        0.428614,
        0.47731,
        0.497187,
        0.584266,
        0.532883,
        0.598768,
        0.448346,
        0.483682,
        0.436641,
        0.525293,
        0.554072,
        0.522995,
        0.5412,
        0.515734,
        0.544313,
        0.426329,
        0.601596,
        0.516492,
        0.480562,
        0.544405,
        0.560475,
        0.48445,
        0.443219,
        0.486011,
        0.538618,
        0.536529,
        0.516241,
        0.536016,
        0.570448,
        0.547522,
        0.541358,
        0.544278,
        0.51965,
        0.555378,
        0.589216,
        0.511194,
        0.459224,
        0.518915,
        0.58541,
        0.518797,
        0.462565,
        0.517347,
        0.563688,
        0.631154,
        0.627805,
        0.528847,
        0.581435,
        0.576747,
        0.504399,
        0.469708,
        0.453348,
        0.406256,
        0.46051,
        0.453031,
        0.376072,
        0.595118,
        0.599877,
        0.498845,
        0.452005,
        0.476511,
        0.516843,
        0.512553,
        0.507575,
        0.560292,
        0.59239,
        0.612293,
        0.520719,
        0.487098,
        0.454077,
        0.455672,
        0.509122,
        0.558239,
        0.718436,
        2.21344,
        0.552252,
        0.761081,
        0.65141,
        0.539166,
        0.619583,
        0.546546,
        0.447906,
        0.56375,
        0.628303,
        0.649489,
        0.771807,
        0.635927,
        0.644147,
        0.604242,
        0.609924,
        0.646587,
        0.623821,
        0.612994,
        0.600097,
        0.602549,
        0.628482,
        0.566925,
        0.592937,
        0.621722,
        0.57457,
        0.555504,
        0.634563,
        0.602871,
        0.820791,
        0.626186,
        0.642801,
        0.550079,
        0.558517,
        0.514328,
        0.489923,
        0.517722,
        0.585308,
        0.458857,
        0.526193,
        0.498261,
        0.456314,
        0.346694,
        0.443347,
        0.43076,
        0.466582,
        0.414349,
        0.479499,
        0.50032,
        0.541273,
        0.550222,
        0.495387,
        0.522916,
        0.617313,
        0.61638,
        0.655949,
        0.544064,
        0.483184,
        0.491552,
        0.674413,
        0.697509,
        0.483502,
        0.584117,
        0.731797,
        0.958775,
        0.768332,
        0.780415,
        0.598521,
        0.878157,
        0.874077,
        0.546098,
        0.625442,
        0.716565,
        0.760701,
        0.839042,
        0.821163,
        0.771719,
        0.66791,
        0.714575,
        0.867973,
        0.719088,
        0.878553,
        0.791211,
        0.851566,
        0.89241,
        0.924582,
        0.887389,
        0.848712,
        0.94069,
        0.853651,
        0.947913,
        0.994823,
        0.972532,
        0.985018,
        0.92781,
        0.896404,
        0.792517,
        0.680824,
        0.470885,
        0.300464,
        0.374769,
        0.453738,
        0.489498,
        0.566733,
        0.564433,
        0.545717,
        0.42885,
        0.672485,
        0.629837,
        0.510321,
        0.572922,
        0.523607,
        0.458297,
        0.382962,
        0.507252,
        0.42047,
        0.588948,
        0.568374,
        0.712898,
        0.677483,
        0.529346,
        0.489408,
        0.4831,
        0.454666,
        0.529342,
        0.550496,
        0.559315,
        0.555705,
        0.487114,
        0.480379,
        0.469594,
        0.524988,
        0.613341,
        0.634768,
        0.525318,
        0.549395,
        0.488234,
        0.579328,
        0.544618,
        0.478102,
        0.490966,
        0.503679,
        0.448013,
        0.442593,
        0.547404,
        0.514275,
        0.602607,
        0.556379,
        0.569652,
        0.581211,
        0.643885,
        0.69043,
        0.565591,
        0.472467,
        0.552265,
        0.51421,
        0.499253,
        0.498019,
        0.56125,
        0.595028,
        0.585855,
        0.558575,
        0.551295,
        0.611157,
        0.642644,
        0.518471,
        0.613097,
        0.605875,
        0.52541,
        0.486918,
        0.548894,
        0.556335,
        0.521527,
        0.565943,
        0.54871,
        0.604752,
        0.541835,
        0.421811,
        0.513949,
        0.421591,
        0.480831,
        0.445905,
        0.457604,
        0.525865,
        0.559692,
        0.699032,
        0.614482,
        0.57011,
        0.519173,
        0.480983,
        0.596224,
        0.571931,
        0.513488,
        0.527336,
        0.520644,
        0.438903,
        0.578725,
        0.541104,
        0.487563,
        0.487436,
        0.519736,
        0.473825,
        0.494655,
        0.6191,
        0.516226,
        0.482186,
        0.538546,
        0.532083,
        0.519817,
        0.571899,
        0.504059,
        0.556273,
        0.484543,
        0.431424,
        0.628732,
        0.592884,
        0.355718,
        0.442185,
        0.487271,
        0.59273,
        0.606101,
        0.48848,
        0.600616,
        0.511195,
        0.523095,
        0.574693,
        0.693222,
        0.614862,
        0.469256,
        0.492048,
        0.612319,
        0.487779,
        0.563425,
        0.538279,
        0.59238,
        0.551501,
        0.523588,
        0.577802,
        0.549559,
        0.541573,
        0.523632,
        0.534351,
        0.512625,
        0.608725,
        0.582161,
        0.559738,
        0.630987,
        0.553555,
        0.609262,
        0.530152,
        0.475297,
        0.553189,
        0.557323,
        0.510888,
        0.546739,
        0.572596,
        0.531805,
        0.492043,
        0.520748,
        0.617966,
        0.582395,
        0.473298,
        0.548097,
        0.540062,
        0.422408,
        0.502316,
        0.577339,
        0.546411,
        0.336704,
        0.515651,
        0.512441,
        0.545549,
        0.553147,
        0.49724,
        0.522394,
        0.588633,
        0.613325,
        0.554164,
        0.552892,
        0.609038,
        0.523655,
        0.527895,
        0.495634,
        0.511209,
        0.502766,
        0.543384,
        0.564204,
        0.592332,
        0.585792,
        0.568991,
        0.515928,
        0.560254,
        0.599011,
        0.56204,
        0.566692,
        0.516993,
        0.591917,
        0.504182,
        0.507977,
        0.476106,
        0.54485,
        0.479308,
        0.541901,
        0.562852,
        0.532319,
        0.522256,
        0.482845,
        0.535695,
        0.509087,
        0.598727,
        0.645939,
        0.621355,
        0.517761,
        0.482365,
        0.474409,
        0.329427,
        0.51715,
        0.690768,
        0.512638,
        0.392531,
        0.506961,
        0.596147,
        0.660646,
        0.555123,
        0.630413,
        0.606424,
        0.510442,
        0.471069,
        0.519443,
        0.516791,
        0.46864,
        0.489604,
        0.536218,
        0.486949,
        0.620311,
        0.462997,
        0.324804,
        0.563819,
        0.50888,
        0.589209,
        0.488994,
        0.530583,
        0.537667,
        0.555379,
        0.449897,
        0.510517,
        0.509737,
        0.599371,
        0.577934,
        0.52582,
        0.538447,
        0.486617,
        0.51783,
        0.59632,
        0.617619,
        0.593314,
        0.576932,
        0.780952,
        0.666693,
        0.61071,
        0.648778,
        0.590257,
        0.554722,
        0.568703,
        0.530504,
        0.487394,
        0.638761,
        0.565694,
        0.608939,
        0.570362,
        0.569113,
        0.502087,
        0.467411,
        0.571296,
        0.614486,
        0.567103,
        0.519578,
        0.586316,
        0.52508,
        0.442508,
        0.588704,
        0.620353,
        0.544578,
        0.521658,
        0.643345,
        0.549079,
        0.518901,
        0.563958,
        0.582294,
        1.68876,
        0.692506,
        0.478775,
        0.596077,
        0.806441,
        0.47936,
        0.551232,
        0.516566,
        0.434725,
        0.529105,
        0.477773,
        0.633896,
        0.46326,
        0.648154,
        0.552133,
        0.453487,
        0.537224,
        0.431492,
        0.443844,
        0.561285,
        0.484352,
        0.444997,
        0.550341,
        0.517971,
        0.510827,
        0.531446,
        0.49164,
        0.472024,
        0.527355,
        0.520605,
        0.51518,
        0.487624,
        0.558901,
        0.49624,
        0.429832,
        0.500458,
        0.587519,
        0.667137,
        0.568793,
        0.525737,
        0.501106,
        0.461666,
        0.603294,
        0.492517,
        0.514953,
        0.594047,
        0.538085,
        0.592248,
        0.528996,
        0.53847,
        0.535933,
        0.555624,
        0.517851,
        0.450927,
        0.371894,
        0.518875,
        0.594394,
        0.575898,
        0.555344,
        0.617743,
        0.560774,
        0.573281,
        0.543944,
        0.553253,
        0.598632,
        0.467692,
        0.5674,
        0.569196,
        0.547256,
        0.553856,
        0.43977,
        0.532789,
        0.470876,
        0.438712,
        0.516868,
        0.61889,
        0.568552,
        0.612315,
        0.483721,
        0.520506,
        0.473041,
        0.441926,
        0.594435,
        0.582903,
        0.513195,
        0.511346,
        0.501917,
        0.481565,
        0.444658,
        0.511367,
        0.481817,
        0.462605,
        0.517261,
        0.501034,
        0.542614,
        0.464698,
        0.544804,
        0.5007,
        0.418925,
        0.553904,
        0.652897,
        0.418981,
        0.474136,
        0.493574,
        0.402363,
        0.446249,
        0.451207,
        0.419363,
        0.386038,
        0.465835,
        0.722871,
        0.616259,
        0.631617,
        0.494515,
        0.599349,
        0.614341,
        0.573913,
        0.568347,
        0.478592,
        0.507951,
        0.522631,
        0.594449,
        0.622372,
        0.60745,
        0.677477,
        0.594085,
        0.639834,
        0.7076,
        0.621183,
        0.534228,
        0.664483,
        0.625768,
        0.735068,
        0.628609,
        0.693346,
        0.643213,
        0.482558,
        0.68848,
        0.803689,
        0.849257,
        0.779543,
        0.829418,
        0.84409,
        0.828946,
        0.839513,
        0.812281,
        0.786473,
        0.8038,
        0.835858,
        0.933651,
        0.823052,
        1.06689,
        1.00638,
        0.956911,
        1.02312,
        0.957362,
        0.765757,
        0.900216,
        0.788855,
        0.666767,
        0.413279,
        0.532669,
        0.563209,
        0.644789,
        0.620599,
        0.548227,
        0.607478,
        0.596478,
        0.534122,
        0.629583,
        0.499764,
        0.692287,
        0.515179,
        0.423628,
        0.517094,
        0.44705,
        0.69522,
        0.53126,
        0.789786,
        0.701324,
        0.581806,
        0.571988,
        0.538344,
        0.556474,
        0.616185,
        0.699123,
        0.458846,
        0.673468,
        0.592032,
        0.556353,
        0.586354,
        0.587443,
        0.622907,
        0.668829,
        0.492868,
        0.563556,
        0.643236,
        0.578489,
        0.519504,
        0.576765,
        0.529596,
        0.625245,
        0.481224,
        0.536345,
        0.53499,
        0.529099,
        0.635299,
        0.502028,
        0.60382,
        0.506358,
        0.491151,
        0.474402,
        0.817046,
        0.947935,
        0.63303,
        0.736608,
        0.629645,
        0.502454,
        0.694392,
        0.552873,
        0.440241,
        0.50926,
        0.614028,
        0.555579,
        0.543009,
        0.514106,
        0.53653,
        0.513969,
        0.606004,
        0.535395,
        0.438544,
        0.423306,
        0.568216,
        0.432594,
        0.616131,
        0.582972,
        0.563871,
        0.521614,
        0.524309,
        0.528962,
        0.609718,
        0.566286,
        0.686371,
        0.413383,
        0.620617,
        0.654637,
        0.540189,
        0.526428,
        0.446032,
        0.505944,
        0.61463,
        0.653235,
        0.502775,
        0.527341,
        0.533746,
        0.555896,
        0.505281,
        0.41724,
        0.406811,
        0.56421,
        0.511216,
        0.53855,
        null,
        0.584773,
        0.527934,
        0.562468,
        0.646214,
        0.564641,
        0.545528,
        0.546924,
        0.540707,
        0.558244,
        0.552125,
        0.580155,
        0.598479,
        0.48317,
        0.501142,
        0.577726,
        0.539233,
        0.492796,
        0.4469,
        0.476834,
        0.559852,
        0.611848,
        0.569267,
        0.494815,
        0.511626,
        0.52866,
        0.58961,
        0.565046,
        0.572704,
        0.617031,
        0.548835,
        0.524231,
        0.588517,
        0.565458,
        0.583815,
        0.556612,
        0.441161,
        0.423398,
        0.313198,
        0.323416,
        0.426601,
        0.476897,
        0.573966,
        0.535017,
        0.506655,
        0.496484,
        0.563121,
        0.485093,
        0.486261,
        0.490985,
        0.50551,
        0.536728,
        0.643097,
        0.625286,
        0.570862,
        0.539085,
        0.510657,
        0.578116,
        0.570374,
        0.500773,
        0.452787,
        0.398904,
        0.45788,
        0.562178,
        0.514441,
        0.522149,
        0.564943,
        0.531231,
        0.47158,
        0.402872,
        0.509847,
        0.510018,
        0.489176,
        0.508516,
        0.496543,
        0.572089,
        0.605157,
        0.524011,
        0.496433,
        0.550323,
        0.507516,
        0.532525,
        0.621676,
        0.653452,
        0.646141,
        0.624205,
        0.560265,
        0.518159,
        0.526571,
        0.553608,
        0.618046,
        0.691585,
        0.687159,
        0.516107,
        0.457624,
        0.486021,
        0.601776,
        0.683348,
        0.669686,
        0.765767,
        0.591228,
        0.603241,
        0.699596,
        0.723717,
        0.647372,
        0.622753,
        0.620566,
        0.645226,
        0.697291,
        0.75223,
        0.610319,
        0.633069,
        0.787161,
        0.788479,
        0.789906,
        0.795902,
        0.750682,
        0.760468,
        0.915151,
        0.917602,
        0.931504,
        0.914993,
        0.962087,
        0.915349,
        0.942272,
        0.952611,
        0.933007,
        0.987076,
        1.01634,
        1.0142,
        0.975133,
        0.951819,
        0.937734,
        0.988885,
        0.937369,
        0.805353,
        0.658929,
        0.684409,
        0.543372,
        0.579531,
        0.648639,
        0.617886,
        0.658055,
        0.654197,
        0.501471,
        0.527174,
        0.587678,
        0.638523,
        0.665154,
        0.652578,
        0.596198,
        0.591679,
        0.506798,
        0.552383,
        0.672593,
        0.72818,
        0.582389,
        0.4736,
        0.585212,
        0.728535,
        0.589682,
        0.58741,
        0.58741,
        0.620998,
        0.572049,
        0.641612,
        0.545888,
        0.488773,
        0.397136,
        0.594867,
        0.588363,
        0.581017,
        0.587277,
        0.51435,
        0.581289,
        0.66684,
        0.682632,
        0.521607,
        0.770587,
        0.603763,
        0.658003,
        0.710366,
        0.719961,
        0.590893,
        0.510243,
        0.562511,
        0.572465,
        0.598909,
        0.542664,
        0.558917,
        0.625741,
        0.644004,
        0.615229,
        0.560005,
        0.546705,
        0.669111,
        0.636514,
        0.830648,
        0.542836,
        0.629975,
        0.704634,
        0.660571,
        0.535111,
        0.608011,
        0.550722,
        0.43655,
        0.465847,
        0.480478,
        0.509112,
        0.651429,
        0.625749,
        0.50571,
        0.45554,
        0.473383,
        0.595553,
        0.642035,
        0.543415,
        0.480148,
        0.399861,
        0.5842,
        0.683727,
        0.585283,
        0.427213,
        0.572724,
        0.524993,
        0.517955,
        0.588296,
        0.683249,
        0.58608,
        0.45984,
        0.711729,
        0.62254,
        0.704992,
        0.592457,
        0.577153,
        0.682346,
        0.610239,
        0.577228,
        0.456842,
        0.556381,
        0.541825,
        0.580352,
        0.550677,
        0.583643,
        0.512929,
        0.532525,
        0.554954,
        0.52464,
        0.547789,
        0.547428,
        0.447334,
        0.514686,
        0.5693,
        0.453647,
        0.448571,
        0.508628,
        0.518883,
        0.465744,
        0.500277,
        0.481279,
        0.514805,
        0.578381,
        0.58009,
        0.536218,
        0.507872,
        0.550676,
        0.52501,
        0.520462,
        0.478767,
        0.542277,
        0.64555,
        0.576258,
        0.509847,
        0.519499,
        0.511297,
        0.543051,
        0.529318,
        0.555529,
        0.541202,
        0.515965,
        0.505043,
        0.52601,
        0.599997,
        0.556384,
        0.531083,
        0.595732,
        0.489567,
        0.61285,
        0.601089,
        0.463507,
        0.464924,
        0.525715,
        0.60734,
        0.581539,
        0.516474,
        0.52289,
        0.586608,
        0.535991,
        0.513952,
        0.619474,
        0.568379,
        0.523291,
        0.532174,
        0.540668,
        0.540959,
        0.505974,
        0.543058,
        0.590368,
        0.569592,
        0.554464,
        0.512736,
        0.562872,
        0.625989,
        0.639891,
        0.533693,
        0.529643,
        0.565839,
        0.518535,
        0.579365,
        0.566285,
        0.552412,
        0.566626,
        0.523695,
        0.49836,
        0.550774,
        0.601642,
        0.569443,
        0.562798,
        0.553885,
        0.598472,
        0.568432,
        0.575757,
        0.611238,
        0.622284,
        0.564635,
        0.527681,
        0.525154,
        0.582773,
        0.566054,
        0.559359,
        0.518296,
        0.542235,
        0.631337,
        0.689281,
        0.631933,
        0.531184,
        0.589543,
        0.61108,
        0.636308,
        0.660233,
        0.520012,
        0.591111,
        0.520029,
        0.524275,
        0.562586,
        0.598143,
        0.588454,
        0.619059,
        0.582201,
        0.612969,
        0.588219,
        0.593502,
        0.530958,
        0.550496,
        0.569528,
        0.540836,
        0.564516,
        0.545892,
        0.607366,
        0.573521,
        0.587131,
        0.622602,
        0.554605,
        0.547807,
        0.594332,
        0.550637,
        0.584665,
        0.608562,
        0.644742,
        0.618906,
        0.550471,
        0.524805,
        0.554065,
        0.539384,
        0.537739,
        0.521567,
        0.470711,
        0.503616,
        0.55894,
        0.631374,
        0.606579,
        0.565714,
        0.529195,
        0.573655,
        0.586529,
        0.545317,
        0.576589,
        0.547068,
        0.572088,
        0.594235,
        0.595303,
        0.575582,
        0.552815,
        0.570149,
        0.601819,
        0.578618,
        0.561761,
        0.529215,
        0.515978,
        0.497557,
        0.572178,
        0.560551,
        0.536759,
        0.593687,
        0.622872,
        0.633941,
        0.599351,
        0.577786,
        0.573636,
        0.542622,
        0.584837,
        0.611197,
        0.586659,
        0.561778,
        0.494409,
        0.501024,
        0.601295,
        0.60199,
        0.57047,
        0.546612,
        0.572327,
        0.572828,
        0.545119,
        0.547071,
        0.576961,
        0.539467,
        0.544751,
        0.565459,
        0.574987,
        0.582691,
        0.55767,
        0.531052,
        0.568382,
        0.594128,
        0.566866,
        0.557566,
        0.526505,
        0.538515,
        0.524331,
        0.522718,
        0.54337,
        0.566721,
        0.54377,
        0.562249,
        0.533203,
        0.595211,
        0.588367,
        0.55734,
        0.637818,
        0.525904,
        0.558448,
        0.620258,
        0.521437,
        0.535279,
        0.51445,
        0.551516,
        0.585969,
        0.552627,
        0.526175,
        0.538571,
        0.559639,
        0.61831,
        0.636672,
        0.571392,
        0.600709,
        0.634559,
        0.600059,
        0.575013,
        0.559542,
        0.562446,
        0.586708,
        0.552153,
        0.616702,
        0.630333,
        0.629659,
        0.627276,
        0.620487,
        0.652185,
        0.658712,
        0.686205,
        0.701447,
        0.718744,
        0.7688,
        0.768541,
        0.745534,
        0.735816,
        0.854685,
        0.903505,
        0.838566,
        0.960634,
        0.919967,
        0.894649,
        0.866175,
        0.948344,
        0.928928,
        0.962417,
        0.994569,
        1.05357,
        1.08795,
        1.00105,
        0.989064,
        0.982074,
        0.996411,
        0.90412,
        0.85261,
        0.717075,
        0.727895,
        0.668111,
        0.798511,
        0.742172,
        0.646484,
        0.612561,
        0.635242,
        0.611847,
        0.646113,
        0.589202,
        0.60032,
        0.484667,
        0.616176,
        0.574123,
        0.414983,
        0.506403,
        0.504987,
        0.631173,
        0.635453,
        0.63183,
        0.787526,
        1.07199,
        0.71782,
        0.907755,
        0.58356,
        0.531523,
        0.550443,
        0.510324,
        0.650269,
        0.569344,
        0.577571,
        0.547236,
        0.559046,
        0.596741,
        0.59885,
        0.575041,
        0.603119,
        0.59197,
        0.528928,
        0.571536,
        0.575835,
        0.516113,
        0.539105,
        0.498047,
        0.524778,
        0.561291,
        0.608384,
        0.556005,
        0.647876,
        0.582101,
        0.557022,
        0.56814,
        0.612388,
        0.53233,
        0.532345,
        0.54831,
        0.511582,
        0.569651,
        0.58272,
        0.545527,
        0.559181,
        0.519168,
        0.524854,
        0.526336,
        0.535428,
        0.496602,
        0.522719,
        0.49047,
        0.518733,
        0.538955,
        0.537383,
        0.565032,
        0.575756,
        0.590108,
        0.579511,
        0.557143,
        0.512118,
        0.515028,
        0.496573,
        0.542815,
        0.496533,
        0.559115,
        0.566176,
        0.54646,
        0.535127,
        0.536527,
        0.575789,
        0.608785,
        0.570459,
        0.523283,
        0.571881,
        0.586732,
        0.544032,
        0.491166,
        0.537191,
        0.575943,
        0.533607,
        0.535754,
        0.591584,
        0.632531,
        0.625229,
        0.532443,
        0.581156,
        0.567931,
        0.513679,
        0.555954,
        0.631107,
        0.606844,
        0.54392,
        0.617702,
        0.482294,
        0.49531,
        0.498731,
        0.482879,
        0.478976,
        0.479732,
        0.467385,
        0.481515,
        0.56369,
        0.523347,
        0.535941,
        0.53354,
        0.482802,
        0.467382,
        0.46085,
        0.449237,
        0.509402,
        0.467585,
        0.461605,
        0.519225,
        0.520251,
        0.603912,
        0.605122,
        0.511711,
        0.525103,
        0.558633,
        0.559572,
        0.596857,
        0.503799,
        0.496186,
        0.548612,
        0.525706,
        0.521307,
        0.617342,
        0.61742,
        0.599227,
        0.575833,
        0.560664,
        0.580155,
        0.530435,
        0.54741,
        0.493382,
        0.559305,
        0.662278,
        0.490987,
        0.416878,
        0.586641,
        0.664307,
        0.651858,
        0.619047,
        0.502798,
        0.635164,
        0.498318,
        0.488969,
        0.586002,
        0.522531,
        0.519253,
        0.576587,
        0.618308,
        0.506325,
        0.605079,
        0.573637,
        0.569925,
        0.604929,
        0.585424,
        0.535631,
        0.498972,
        0.555763,
        0.52234,
        0.506558,
        0.508951,
        0.535945,
        0.560181,
        0.635544,
        0.600432,
        0.574654,
        0.483418,
        0.489305,
        0.506801,
        0.565604,
        0.52462,
        0.578265,
        0.558304,
        0.569862,
        0.531682,
        0.470397,
        0.560063,
        0.499689,
        0.54284,
        0.617158,
        0.590867,
        0.630673,
        0.577182,
        0.541775,
        0.540238,
        0.592152,
        0.550892,
        0.529419,
        0.560999,
        0.57342,
        0.569759,
        0.574858,
        0.566485,
        0.614751,
        0.570172,
        0.539345,
        0.510424,
        0.503857,
        0.567061,
        0.553635,
        0.546102,
        0.534022,
        0.557967,
        0.559984,
        0.564609,
        0.588045,
        0.605982,
        0.577204,
        0.611227,
        0.512936,
        0.512404,
        0.582214,
        0.553411,
        0.570468,
        0.600635,
        0.520014,
        0.565631,
        0.616114,
        0.584342,
        0.54951,
        0.642455,
        0.627387,
        0.647744,
        0.602462,
        0.532571,
        0.574462,
        0.623107,
        0.586737,
        0.577819,
        0.571442,
        0.589183,
        0.548341,
        0.510956,
        0.62001,
        0.549065,
        0.56362,
        0.627177,
        0.572758,
        0.563293,
        0.578414,
        0.599887,
        0.528925,
        0.531263,
        0.652324,
        0.565667,
        0.465996,
        0.495568,
        0.518823,
        0.580844,
        0.493805,
        0.489901,
        0.517404,
        0.566446,
        0.511317,
        0.482316,
        0.55854,
        0.569409,
        0.558926,
        0.536004,
        0.563976,
        0.574683,
        0.560056,
        0.550172,
        0.56631,
        0.605569,
        0.493606,
        0.506641,
        0.538378,
        0.613101,
        0.592164,
        0.560661,
        0.481323,
        0.515783,
        0.53334,
        0.545632,
        0.596117,
        0.518576,
        0.504714,
        0.567625,
        0.577039,
        0.515004,
        0.481496,
        0.53236,
        0.553,
        0.527544,
        0.548446,
        0.476186,
        0.571117,
        0.5847,
        0.565505,
        0.493909,
        0.429595,
        0.492287,
        0.545361,
        0.555754,
        0.558478,
        0.414233,
        0.473556,
        0.475663,
        0.477507,
        0.53316,
        0.580048,
        0.549352,
        0.549766,
        0.493549,
        0.53839,
        0.536321,
        0.581478,
        0.545618,
        0.525469,
        0.514845,
        0.503023,
        0.485957,
        0.550211,
        0.496956,
        0.54866,
        0.526897,
        0.531661,
        0.594947,
        0.468954,
        0.522064,
        0.579766,
        0.469036,
        0.474487,
        0.464353,
        0.553087,
        0.557441,
        0.538424,
        0.529951,
        0.498852,
        0.507116,
        0.55584,
        0.500998,
        0.571113,
        0.544134,
        0.463772,
        0.530269,
        0.42609,
        0.546181,
        0.527339,
        0.603584,
        0.566723,
        0.567869,
        0.527144,
        0.535687,
        0.534417,
        0.500684,
        0.477703,
        0.574592,
        0.473906,
        0.533486,
        0.515033,
        0.451898,
        0.453422,
        0.555987,
        0.515411,
        0.549282,
        0.5485,
        0.505144,
        0.487428,
        0.593282,
        0.555185,
        0.583282,
        0.534433,
        0.524291,
        0.508768,
        0.553574,
        0.513774,
        0.497121,
        0.536336,
        0.504319,
        0.492487,
        0.483379,
        0.500307,
        0.556467,
        0.544306,
        0.470171,
        0.426104,
        0.57643,
        0.581821,
        0.566681,
        0.580573,
        0.610214,
        0.534838,
        0.548309,
        0.555056,
        0.567204,
        0.538042,
        0.467682,
        0.51651,
        0.488027,
        0.410043,
        0.4723,
        0.523097,
        0.532083,
        0.497233,
        0.585017,
        0.582461,
        0.547245,
        0.54026,
        0.567473,
        0.574427,
        0.619355,
        0.569501,
        0.671622,
        0.580477,
        0.604258,
        0.636453,
        0.611903,
        0.682399,
        0.665987,
        0.68635,
        0.656094,
        0.728574,
        0.682634,
        0.727163,
        0.739251,
        0.804331,
        0.741048,
        0.735541,
        0.816267,
        0.825171,
        0.852921,
        0.917855,
        0.982148,
        0.971053,
        0.987504,
        1.0275,
        0.943094,
        0.984837,
        0.992451,
        1.01786,
        0.939368,
        0.96784,
        0.974931,
        0.976478,
        0.766635,
        0.704387,
        0.687659,
        0.707994,
        0.675799,
        0.718922,
        0.540515,
        0.529085,
        0.576017,
        0.510405,
        0.589547,
        0.457705,
        0.555112,
        0.800769,
        0.89996,
        0.732566,
        0.739275,
        0.611487,
        0.618236,
        0.424497,
        0.520697,
        0.55346,
        0.57908,
        0.557192,
        0.533936,
        0.533364,
        0.570387,
        0.482441,
        0.459368,
        0.492022,
        0.49092,
        0.492857,
        0.557013,
        0.634517,
        0.509157,
        0.561121,
        0.44087,
        0.40511,
        0.426856,
        0.511143,
        0.494942,
        0.42573,
        0.479046,
        0.583689,
        0.514581,
        0.415202,
        0.525228,
        0.518835,
        0.516307,
        0.515427,
        0.564323,
        0.521824,
        0.552698,
        0.609912,
        0.59121,
        0.553638,
        0.58784,
        0.525002,
        0.498553,
        0.460384,
        0.426995,
        0.548858,
        0.587228,
        0.455221,
        0.45914,
        0.521104,
        0.546352,
        0.562299,
        0.546401,
        0.482394,
        0.496144,
        0.527335,
        0.568943,
        0.557358,
        0.512518,
        0.518044,
        0.484742,
        0.592455,
        0.606996,
        0.477733,
        0.436923,
        0.458196,
        0.536403,
        0.600713,
        0.571807,
        0.55525,
        0.5921,
        0.60002,
        0.493189,
        0.470147,
        0.465393,
        0.610254,
        0.556189,
        0.542504,
        0.530114,
        0.542397,
        0.547786,
        0.503411,
        0.591645,
        0.571611,
        0.555899,
        0.546348,
        0.567955,
        0.642858,
        0.599505,
        0.483227,
        0.492684,
        0.436712,
        0.429195,
        0.557482,
        0.64384,
        0.600649,
        0.570467,
        0.625361,
        0.568439,
        0.529925,
        0.590997,
        0.504302,
        0.676037,
        0.584402,
        0.758288,
        0.518828,
        1.18999,
        0.599956,
        0.448916,
        0.497971,
        0.451195,
        0.504783,
        0.488414,
        0.491283,
        0.553233,
        0.613269,
        0.628105,
        0.623127,
        0.514501,
        0.581912,
        0.5466,
        0.542277,
        0.571664,
        0.490185,
        0.527769,
        0.601816,
        0.538633,
        0.538228,
        0.581655,
        0.613134,
        0.566685,
        0.560843,
        0.449183,
        0.448143,
        0.475651,
        0.546105,
        0.499885,
        0.533971,
        0.5862,
        0.641709,
        0.537468,
        0.52436,
        0.498459,
        0.506096,
        0.475498,
        0.537815,
        0.53409,
        0.454328,
        0.488794,
        0.449518,
        0.524529,
        0.521105,
        0.57782,
        0.525758,
        0.629357,
        0.540751,
        0.577464,
        0.482369,
        0.537751,
        0.501249,
        0.546007,
        0.593667,
        0.421667,
        0.471205,
        0.601745,
        0.44219,
        0.74947,
        0.615545,
        0.763911,
        0.60395,
        0.592053,
        0.44351,
        0.471217,
        0.617942,
        0.565972,
        0.564915,
        0.547514,
        0.657828,
        0.703822,
        0.6949,
        0.733489,
        0.662621,
        0.557488,
        0.507865,
        0.503613,
        0.532302,
        0.60651,
        0.625306,
        0.55297,
        0.555107,
        0.52622,
        0.503127,
        0.604708,
        0.504656,
        0.517376,
        0.720399,
        0.763366,
        0.642949,
        0.586775,
        0.574712,
        0.606974,
        0.490645,
        0.575702,
        0.553522,
        0.534684,
        0.506416,
        0.462191,
        0.551719,
        0.544025,
        0.601412,
        0.661896,
        0.585541,
        0.58062,
        0.594673,
        0.55563,
        0.590945,
        0.52526,
        0.475629,
        0.532798,
        0.6692,
        0.589068,
        0.531813,
        0.612332,
        0.637495,
        0.621331,
        0.543765,
        0.567344,
        0.572474,
        0.563251,
        0.539033,
        0.595728,
        0.567514,
        0.537116,
        0.492438,
        0.526692,
        0.551544,
        0.525792,
        0.549481,
        0.60974,
        0.550893,
        0.529725,
        0.571484,
        0.588231,
        0.554674,
        0.502702,
        0.554822,
        0.596117,
        0.552475,
        0.520042,
        0.559726,
        0.559712,
        0.52295,
        0.566641,
        0.519502,
        0.50504,
        0.471015,
        0.505477,
        0.561746,
        0.558097,
        0.565065,
        0.588159,
        0.555375,
        0.530644,
        0.568412,
        0.486608,
        0.547389,
        0.577227,
        0.548769,
        0.512936,
        0.471546,
        0.551166,
        0.573922,
        0.534899,
        0.516906,
        0.562208,
        0.535591,
        0.603487,
        0.507385,
        0.516284,
        0.568572,
        0.544987,
        0.477001,
        0.523806,
        0.49585,
        0.517107,
        0.491724,
        0.4848,
        0.445206,
        0.557655,
        0.504481,
        0.60793,
        0.594015,
        0.488722,
        0.497091,
        0.510646,
        0.570326,
        0.509858,
        0.534222,
        0.496875,
        0.538316,
        0.632141,
        0.625487,
        0.525408,
        0.54652,
        0.563472,
        0.539641,
        0.506241,
        0.518076,
        0.547033,
        0.589267,
        0.522813,
        0.533661,
        0.49049,
        0.51961,
        0.541914,
        0.556796,
        0.559664,
        0.588432,
        0.546456,
        0.523834,
        0.525397,
        0.528602,
        0.502273,
        0.527763,
        0.532421,
        0.707515,
        0.46601,
        0.481071,
        0.481956,
        0.506669,
        0.536598,
        0.540848,
        0.577876,
        0.401368,
        0.510202,
        0.553178,
        0.453493,
        0.459279,
        0.49076,
        0.488664,
        0.538102,
        0.47465,
        0.515249,
        0.616224,
        0.555043,
        0.55789,
        0.559948,
        0.525182,
        0.531531,
        0.509887,
        0.583866,
        0.477514,
        0.477337,
        0.400928,
        0.444171,
        0.539978,
        0.550645,
        0.459854,
        0.424074,
        0.583508,
        0.624499,
        0.482438,
        0.548061,
        0.50548,
        0.511101,
        0.527925,
        0.587562,
        0.533111,
        0.619356,
        0.564884,
        0.606643,
        0.571187,
        0.591406,
        0.498484,
        0.472319,
        0.555156,
        0.530128,
        0.494532,
        0.599361,
        0.518174,
        0.596875,
        0.558576,
        0.572889,
        0.431932,
        0.526879,
        0.520101,
        0.604324,
        0.589847,
        0.543497,
        0.515071,
        0.613523,
        0.489792,
        0.510829,
        0.535649,
        0.605652,
        0.51614,
        0.567672,
        0.569037,
        0.52606,
        0.552603,
        0.641789,
        0.685974,
        0.581992,
        0.667924,
        0.623331,
        0.584315,
        0.671277,
        0.660272,
        0.660219,
        0.730495,
        0.737553,
        0.686121,
        0.690197,
        0.788536,
        0.675776,
        0.669785,
        0.866948,
        0.775022,
        0.794689,
        0.905964,
        0.905743,
        0.912402,
        0.845531,
        0.869323,
        0.905348,
        0.967651,
        0.984567,
        1.0167,
        0.938833,
        0.988017,
        1.01891,
        0.916838,
        0.894165,
        0.860159,
        0.678494,
        0.710825,
        0.792561,
        0.750613,
        0.687551,
        0.78983,
        0.777168,
        0.771003,
        0.737816,
        0.725351,
        0.714007,
        0.680828,
        0.556572,
        0.4271,
        0.546192,
        0.495063,
        0.412233,
        0.56599,
        0.530041,
        0.552007,
        0.600478,
        0.581788,
        0.606817,
        0.602452,
        0.443476,
        0.798122,
        0.481586,
        0.734911,
        0.788908,
        0.630988,
        0.630239,
        0.499522,
        0.552291,
        0.58014,
        0.593138,
        0.64245,
        0.620878,
        0.512035,
        0.57703,
        0.521145,
        0.577609,
        0.568675,
        0.620921,
        0.602964,
        0.581736,
        0.61257,
        0.552124,
        0.581192,
        0.610797,
        0.642187,
        0.497379,
        0.429163,
        0.451363,
        0.553387,
        0.595423,
        0.518766,
        0.517812,
        0.467699,
        0.531238,
        0.544394,
        0.55991,
        0.506123,
        0.655753,
        0.612155,
        0.687667,
        0.432906,
        0.535867,
        0.541144,
        0.591844,
        0.628089,
        0.543548,
        0.50952,
        0.502367,
        0.546657,
        0.529537,
        0.605534,
        0.580895,
        0.5634,
        0.524537,
        0.578855,
        0.52888,
        0.548986,
        0.459532,
        0.560625,
        0.663957,
        0.603785,
        0.614196,
        0.623297,
        0.533799,
        0.47945,
        0.605482,
        0.522503,
        0.52125,
        0.535804,
        0.552574,
        0.55474,
        0.497199,
        0.456831,
        0.46403,
        0.540182,
        0.596613,
        0.610056,
        0.537374,
        0.434653,
        0.603599,
        0.60559,
        0.450385,
        0.443064,
        0.485407,
        0.666398,
        0.564974,
        0.564842,
        0.568524,
        0.44108,
        0.47724,
        0.54275,
        0.517439,
        0.564095,
        0.509621,
        0.462487,
        0.484234,
        0.563145,
        0.538798,
        0.598018,
        0.588099,
        0.629507,
        0.584296,
        0.499254,
        0.530977,
        0.465441,
        0.536317,
        0.540384,
        0.561601,
        0.521378,
        0.504126,
        0.501144,
        0.461386,
        0.561132,
        0.416485,
        0.588965,
        0.522082,
        0.560584,
        0.565981,
        0.498523,
        0.512553,
        0.551452,
        0.548228,
        0.526264,
        0.619618,
        0.571701,
        0.55696,
        0.596849,
        0.612372,
        0.520052,
        0.557621,
        0.534695,
        0.502665,
        0.512264,
        0.535285,
        0.500249,
        0.54575,
        0.548019,
        0.526487,
        0.546189,
        0.606281,
        0.495441,
        0.592367,
        0.542859,
        0.621477,
        0.560163,
        0.487896,
        0.505419,
        0.575611,
        0.633561,
        0.603637,
        0.461486,
        0.484034,
        0.580448,
        0.587733,
        0.575829,
        0.627941,
        0.524443,
        0.576265,
        0.548277,
        0.494525,
        0.472947,
        0.487946,
        0.675333,
        0.58455,
        0.576986,
        0.470091,
        0.542093,
        0.536364,
        0.507637,
        0.474677,
        0.450984,
        0.589742,
        0.645265,
        0.670839,
        0.623339,
        0.555354,
        0.573013,
        0.583709,
        0.642407,
        0.628398,
        0.543461,
        0.602443,
        0.603139,
        0.599859,
        0.65766,
        0.625651,
        0.666229,
        0.566821,
        0.597796,
        0.587585,
        0.548137,
        0.545398,
        0.610806,
        0.685484,
        0.64748,
        0.62601,
        0.602259,
        0.618981,
        0.588912,
        0.521141,
        0.544045,
        0.564609,
        0.557028,
        0.56922,
        0.60279,
        0.501622,
        0.549111,
        0.471717,
        0.49432,
        0.525826,
        0.553124,
        0.503983,
        0.548278,
        0.519898,
        0.657741,
        0.535174,
        0.542185,
        0.547694,
        0.565198,
        0.546396,
        0.514969,
        0.553522,
        0.560281,
        0.599962,
        0.60124,
        0.529975,
        0.516582,
        0.461028,
        0.494638,
        0.453075,
        0.511838,
        0.640722,
        0.513873,
        0.467767,
        0.562045,
        0.554355,
        0.491477,
        0.526019,
        0.538758,
        0.520719,
        0.555052,
        0.538141,
        0.52705,
        0.542099,
        0.431138,
        0.574447,
        0.509981,
        0.491343,
        0.529356,
        0.455764,
        0.524461,
        0.54887,
        0.495599,
        0.546288,
        0.499573,
        0.497428,
        0.59629,
        0.576685,
        0.566435,
        0.562827,
        0.500028,
        0.518173,
        0.481688,
        0.511767,
        0.4873,
        0.44436,
        0.549051,
        0.561188,
        0.516745,
        0.434256,
        0.330031,
        0.382176,
        0.427195,
        0.489517,
        0.427496,
        0.427514,
        0.370865,
        0.417445,
        0.411352,
        0.566781,
        0.509023,
        0.646798,
        0.517607,
        0.428666,
        0.459918,
        0.57474,
        0.612862,
        0.510851,
        0.446781,
        0.484697,
        0.631042,
        0.631541,
        0.475984,
        0.765195,
        0.590976,
        0.503184,
        0.540085,
        0.453113,
        0.519733,
        0.534783,
        0.614858,
        0.469653,
        0.50632,
        0.50132,
        0.553619,
        0.602478,
        0.541995,
        0.510634,
        0.578042,
        0.576136,
        0.467875,
        0.591999,
        0.566305,
        0.626586,
        0.552554,
        0.503716,
        0.671466,
        0.679801,
        0.545696,
        0.36654,
        0.785335,
        0.732335,
        0.554977,
        0.752887,
        0.642114,
        0.56635,
        0.581467,
        0.754055,
        0.521619,
        0.48581,
        0.45112,
        0.636503,
        0.460801,
        0.632201,
        0.396887,
        0.56827,
        0.514832,
        0.527022,
        0.616979,
        0.609702,
        0.548182,
        0.722689,
        0.568892,
        0.671357,
        0.533229,
        0.611548,
        0.694142,
        0.399771,
        0.566658,
        0.558546,
        0.660818,
        0.476252,
        0.530153,
        0.597971,
        0.608218,
        0.489793,
        0.645684,
        0.558439,
        0.579225,
        0.531615,
        0.400315,
        0.626533,
        0.34169,
        0.417389,
        0.573172,
        0.7237,
        0.602977,
        0.646581,
        0.641332,
        0.635466,
        0.491879,
        0.409101,
        0.457023,
        0.529551,
        0.595918,
        0.547723,
        0.520709,
        0.541059,
        0.434329,
        0.578468,
        0.619686,
        0.382197,
        0.405121,
        0.596957,
        0.565899,
        0.564809,
        0.594563,
        0.454988,
        0.517729,
        0.616815,
        0.523725,
        0.536585,
        0.545496,
        0.630665,
        0.584837,
        0.7237,
        0.542925,
        0.536966,
        0.558581,
        0.548163,
        0.605222,
        0.641487,
        0.537752,
        0.551077,
        0.599807,
        null,
        0.685385,
        0.634688,
        0.598657,
        0.604728,
        0.653698,
        0.675179,
        0.769928,
        0.755441,
        0.663386,
        0.61532,
        0.70197,
        0.698331,
        0.632934,
        0.632189,
        0.669029,
        0.705235,
        0.6049,
        0.549068,
        0.609255,
        0.60384,
        0.62264,
        0.554261,
        0.530943,
        0.581469,
        0.53631,
        0.55356,
        0.578594,
        0.525498,
        0.559404,
        0.57954,
        0.552906,
        0.506284,
        0.469912,
        0.487924,
        0.620335,
        0.589992,
        0.465099,
        0.715856,
        0.735381,
        0.569193,
        0.820612,
        0.711073,
        0.639106,
        0.637127,
        0.583052,
        0.590085,
        0.513257,
        0.450397,
        0.534119,
        0.544554,
        0.57147,
        0.650206,
        0.749002,
        0.655211,
        0.526135,
        0.557436,
        0.537391,
        0.516021,
        0.545113,
        0.536733,
        0.508782,
        0.537762,
        0.578053,
        0.473462,
        0.478721,
        0.566364,
        0.577738,
        0.575406,
        0.497392,
        0.42597,
        0.490795,
        0.48211,
        0.589278,
        0.5741,
        0.441252,
        0.493274,
        0.550074,
        0.538142,
        0.559043,
        0.611098,
        0.582686,
        0.549627,
        0.518702,
        0.546876,
        0.534675,
        0.529464,
        0.512665,
        0.542395,
        0.532178,
        0.517982,
        0.521084,
        0.546674,
        0.551636,
        0.561551,
        0.572836,
        0.577317,
        0.515868,
        0.507097,
        0.534424,
        0.560152,
        0.616035,
        0.587736,
        0.579023,
        0.58965,
        0.564476,
        0.509358,
        0.547979,
        0.578688,
        0.617093,
        0.535551,
        0.494713,
        0.550713,
        0.544386,
        0.574505,
        0.581304,
        0.617757,
        0.597866,
        0.508238,
        0.594771,
        0.518706,
        0.418867,
        0.493465,
        0.559009,
        0.540631,
        0.529403,
        0.561356,
        0.58257,
        0.594438,
        0.501359,
        0.562271,
        0.645972,
        0.613468,
        0.565948,
        0.539579,
        0.542349,
        0.545868,
        0.631013,
        0.604569,
        0.597192,
        0.522948,
        0.570147,
        0.57491,
        0.537458,
        0.533553,
        0.593918,
        0.537754,
        0.561257,
        0.577948,
        0.616847,
        0.512588,
        0.538995,
        0.524323,
        0.616706,
        0.585793,
        0.601611,
        0.586422,
        0.574249,
        0.51397,
        0.495145,
        0.582855,
        0.591422,
        0.591347,
        0.572002,
        0.505458,
        0.535696,
        0.586792,
        0.618002,
        0.602548,
        0.573269,
        0.586384,
        0.634216,
        0.564234,
        0.559487,
        0.642968,
        0.604138,
        0.584243,
        0.573051,
        0.536909,
        0.565768,
        0.612225,
        0.550586,
        0.526087,
        0.486463,
        0.584312,
        0.579306,
        0.553492,
        0.565573,
        0.565683,
        0.505427,
        0.576161,
        0.474619,
        0.445591,
        0.5516,
        0.644921,
        0.58956,
        0.509513,
        0.507163,
        0.514283,
        0.570337,
        0.568928,
        0.579284,
        0.540812,
        0.575077,
        0.539384,
        0.539194,
        0.588635,
        0.565127,
        0.595925,
        0.602621,
        0.555121,
        0.639278,
        0.66314,
        0.593124,
        0.582888,
        0.500557,
        0.502282,
        0.542386,
        0.617003,
        0.609192,
        0.51566,
        0.553103,
        0.617799,
        0.655951,
        0.615806,
        0.538625,
        0.510799,
        0.590442,
        0.602885,
        0.573409,
        0.595109,
        0.610612,
        0.532958,
        0.63422,
        0.608374,
        0.613619,
        0.605335,
        0.531443,
        0.612289,
        0.665772,
        0.671332,
        0.697236,
        0.69901,
        0.716306,
        0.691926,
        0.759948,
        0.730275,
        0.687681,
        0.741229,
        0.725712,
        0.756578,
        0.718105,
        0.754777,
        0.79067,
        0.884537,
        0.877591,
        0.820253,
        0.879361,
        0.984127,
        1.00649,
        1.11324,
        1.06269,
        0.945083,
        1.07446,
        1.10937,
        1.23291,
        1.23378,
        1.15933,
        1.09541,
        0.996368,
        0.969718,
        0.896047,
        0.874964,
        0.852655,
        0.787737,
        0.662218,
        0.704124,
        0.814788,
        0.677533,
        0.624615,
        0.664618,
        0.520275,
        0.590807,
        0.649947,
        0.580296,
        0.552712,
        0.506982,
        0.557536,
        0.656472,
        0.614683,
        0.589964,
        0.640882,
        0.900055,
        0.591835,
        0.88294,
        1.38167,
        1.04402,
        0.873621,
        0.548694,
        0.541252,
        0.71223,
        0.651793,
        0.551727,
        0.574312,
        0.665643,
        0.624308,
        0.493244,
        0.577434,
        0.551663,
        0.61715,
        0.690169,
        0.507766,
        0.522501,
        0.550281,
        0.477638,
        0.482185,
        0.550347,
        0.535734,
        0.553924,
        0.535336,
        0.569951,
        0.571238,
        0.571424,
        0.56321,
        0.537662,
        0.589212,
        0.513128,
        0.624219,
        0.532854,
        0.557155,
        0.624001,
        0.547188,
        0.488199,
        0.469541,
        0.535459,
        0.529516,
        0.539543,
        0.542742,
        0.59653,
        0.566355,
        0.55879,
        0.51708,
        0.56648,
        0.51959,
        0.551887,
        0.536581,
        0.591229,
        0.570938,
        0.563877,
        0.581859,
        0.613701,
        0.614071,
        0.538402,
        0.522399,
        0.56081,
        0.478355,
        0.498906,
        0.525876,
        0.55451,
        0.572152,
        0.540993,
        0.540534,
        0.551774,
        0.535957,
        0.430666,
        0.504313,
        0.582358,
        0.495514,
        0.529344,
        0.49907,
        0.444107,
        0.540882,
        0.54183,
        0.467408,
        0.515965,
        0.573058,
        0.623784,
        0.746713,
        0.468875,
        0.492921,
        0.533485,
        0.513444,
        0.4372,
        0.606332,
        0.529414,
        0.537077,
        0.59898,
        0.534029,
        0.545595,
        0.524871,
        0.568726,
        0.491175,
        0.472949,
        0.621464,
        0.577083,
        0.563345,
        0.526668,
        0.632295,
        0.645013,
        0.574023,
        0.514635,
        0.639697,
        0.613828,
        0.560991,
        0.59437,
        0.636599,
        0.559577,
        0.577883,
        0.65305,
        0.614905,
        0.633151,
        0.685201,
        0.627302,
        0.758124,
        0.661955,
        0.704856,
        0.595253,
        0.620724,
        0.677255,
        0.810466,
        0.652175,
        0.431093,
        0.619151,
        0.492996,
        0.6224,
        0.522005,
        0.624374,
        0.689721,
        0.607089,
        0.605472,
        0.718564,
        0.649737,
        0.661018,
        0.805918,
        0.672736,
        0.781022,
        1.1545,
        1.08188,
        0.74039,
        0.898536,
        0.644466,
        0.570822,
        0.61277,
        0.77085,
        0.522911,
        0.626246,
        0.613731,
        0.609654,
        0.678259,
        0.640528,
        0.572266,
        0.560493,
        0.550621,
        0.576988,
        0.582787,
        0.482294,
        0.465498,
        0.529147,
        0.569827,
        0.444355,
        0.538462,
        0.579424,
        0.574787,
        0.528005,
        0.552499,
        0.629657,
        0.573147,
        0.513837,
        0.568313,
        0.573518,
        0.612731,
        0.563546,
        0.53202,
        0.536349,
        0.540344,
        0.603021,
        0.488042,
        0.426425,
        0.36823,
        0.493987,
        0.505277,
        0.533703,
        0.491829,
        0.524261,
        0.485852,
        0.488391,
        0.608934,
        0.59415,
        0.542384,
        0.594441,
        0.586858,
        0.609757,
        0.591315,
        0.588662,
        0.590919,
        0.55727,
        0.585823,
        0.626674,
        0.535158,
        0.555505,
        0.641088,
        0.542208,
        0.489886,
        0.504091,
        0.558601,
        0.588832,
        0.60652,
        0.562725,
        0.542084,
        0.513054,
        0.574946,
        0.624477,
        0.564439,
        0.585688,
        0.650088,
        0.583333,
        0.558085,
        0.486527,
        0.475304,
        0.476082,
        0.418068,
        0.538956,
        0.606219,
        0.51373,
        0.554317,
        0.455181,
        0.592068,
        0.550577,
        0.497272,
        0.514774,
        0.521684,
        0.538868,
        0.596959,
        0.578529,
        0.555434,
        0.544651,
        0.571977,
        0.571253,
        0.521352,
        0.591768,
        0.539181,
        0.633813,
        0.550643,
        0.611927,
        0.597987,
        0.525396,
        0.630495,
        0.64152,
        0.527889,
        0.519805,
        0.539735,
        0.597198,
        0.610238,
        0.627114,
        0.588944,
        0.605795,
        0.568288,
        0.530293,
        0.509829,
        0.474133,
        0.58663,
        0.628749,
        0.553874,
        0.53571,
        0.59261,
        0.562439,
        0.511069,
        0.519451,
        0.566935,
        0.547949,
        0.49219,
        0.558504,
        0.543257,
        0.580587,
        0.596086,
        0.597896,
        0.568436,
        0.558578,
        0.621333,
        0.591749,
        0.567976,
        0.521002,
        0.563142,
        0.570119,
        0.554059,
        0.5531,
        0.581407,
        0.555492,
        0.520974,
        0.579496,
        0.596797,
        0.552593,
        0.533266,
        0.534848,
        0.627978,
        0.599896,
        0.588865,
        0.597566,
        0.562224,
        0.596165,
        0.543929,
        0.460059,
        0.41217,
        0.463463,
        0.551314,
        0.522955,
        0.602683,
        0.555151,
        0.524995,
        0.534244,
        0.495729,
        0.583061,
        0.604731,
        0.501218,
        0.499322,
        0.523235,
        0.522159,
        0.430697,
        0.513397,
        0.506503,
        0.505659,
        0.53038,
        0.582946,
        0.541103,
        0.494237,
        0.558199,
        0.622599,
        0.644069,
        0.619237,
        0.512785,
        0.580424,
        0.548671,
        0.438564,
        0.534172,
        0.565834,
        0.541921,
        0.611683,
        0.542346,
        0.616939,
        0.519698,
        0.547512,
        0.464858,
        0.532962,
        0.563187,
        0.547698,
        0.547983,
        0.56947,
        0.588938,
        0.542441,
        0.531725,
        0.597599,
        0.53471,
        0.539357,
        0.544431,
        0.562144,
        0.556454,
        0.535697,
        0.581118,
        0.531775,
        0.575776,
        0.570894,
        0.553373,
        0.501378,
        0.551785,
        0.521497,
        0.535349,
        0.574377,
        0.580979,
        0.581907,
        0.570751,
        0.630757,
        0.556093,
        0.558272,
        0.611075,
        0.600748,
        0.580441,
        0.588226,
        0.604575,
        0.584451,
        0.662208,
        0.625782,
        0.649169,
        0.594532,
        0.646964,
        0.653299,
        0.699269,
        0.6434,
        0.644281,
        0.653253,
        0.691939,
        0.687369,
        0.765124,
        0.677477,
        0.702822,
        0.735571,
        0.789014,
        0.751688,
        0.753939,
        0.705222,
        0.840408,
        0.832206,
        0.863922,
        0.904595,
        0.832713,
        0.956111,
        0.950941,
        0.87311,
        0.853203,
        1.03415,
        1.05595,
        1.15836,
        1.06698,
        1.01552,
        1.09121,
        1.09399,
        1.06703,
        1.04454,
        0.929614,
        0.908156,
        0.909596,
        0.783399,
        0.8161,
        0.702089,
        0.717495,
        0.657047,
        0.655903,
        0.508562,
        0.504945,
        0.407155,
        0.606604,
        0.641097,
        0.560225,
        0.760185,
        0.567922,
        0.564569,
        0.684878,
        0.566572,
        0.850663,
        0.714062,
        0.641237,
        0.628001,
        0.429087,
        0.528766,
        0.556711,
        0.543333,
        0.67848,
        0.771765,
        0.611603,
        0.534595,
        0.582955,
        0.545188,
        0.507577,
        0.46012,
        0.77749,
        0.623233,
        0.854438,
        0.741217,
        0.546882,
        0.637868,
        0.854524,
        null,
        0.618551,
        0.66337,
        0.566733,
        0.544108,
        0.45354,
        0.579704,
        0.476585,
        0.485164,
        0.547386,
        0.572963,
        0.56045,
        0.559452,
        0.483962,
        0.440541,
        0.671684,
        0.582675,
        0.574678,
        0.715381,
        0.551713,
        0.415691,
        0.590288,
        0.598836,
        0.48799,
        0.601765,
        0.546615,
        0.461595,
        0.573219,
        0.549211,
        0.565588,
        0.534328,
        0.540171,
        0.528347,
        0.654661,
        0.604299,
        0.611444,
        0.529431,
        0.628923,
        0.594424,
        0.506729,
        0.479871,
        0.643596,
        0.536103,
        0.484107,
        0.578617,
        0.541298,
        0.56735,
        0.63866,
        0.60816,
        0.584426,
        0.587437,
        0.541747,
        0.523985,
        0.562861,
        0.521715,
        0.490545,
        0.583414,
        0.577745,
        0.581962,
        0.573625,
        0.557274,
        0.583595,
        0.533857,
        0.579686,
        0.559868,
        0.558007,
        0.547664,
        0.523252,
        0.580768,
        0.537238,
        0.580875,
        0.566301,
        0.60029,
        0.561161,
        0.553327,
        0.509224,
        0.50456,
        0.556154,
        0.558556,
        0.568804,
        0.563731,
        0.624645,
        0.570737,
        0.521986,
        0.43525,
        0.481523,
        0.506108,
        0.553571,
        0.552944,
        0.550412,
        0.417327,
        0.534162,
        0.586236,
        0.662309,
        0.562807,
        0.477491,
        0.478761,
        0.582073,
        0.496755,
        0.59077,
        0.610318,
        0.541355,
        0.550995,
        0.544733,
        0.49766,
        0.571961,
        0.544771,
        0.541118,
        0.414769,
        0.476029,
        0.615681,
        0.568929,
        0.635767,
        0.589869,
        0.458634,
        0.737629,
        0.70799,
        0.744091,
        0.642063,
        0.760378,
        0.576179,
        0.469265,
        0.532743,
        0.422962,
        0.47544,
        0.357227,
        0.560766,
        0.613549,
        0.567403,
        0.559386,
        0.561993,
        0.503274,
        0.558347,
        0.502846,
        0.517636,
        0.544066,
        0.510812,
        0.593974,
        0.582079,
        0.48451,
        0.535219,
        0.500102,
        0.549346,
        0.538318,
        0.488523,
        0.493722,
        0.552786,
        0.598774,
        0.583902,
        0.624614,
        0.629011,
        0.594415,
        0.554282,
        0.56308,
        0.54177,
        0.539747,
        0.529325,
        0.569792,
        0.531085,
        0.498334,
        0.475,
        0.493898,
        0.565696,
        0.550166,
        0.473831,
        0.549111,
        0.556118,
        0.566302,
        0.518167,
        0.556496,
        0.540182,
        0.538556,
        0.522743,
        0.531713,
        0.538781,
        0.509476,
        0.562493,
        0.541613,
        0.56623,
        0.515375,
        0.549669,
        0.575084,
        0.523035,
        0.564849,
        0.505967,
        0.54252,
        0.512116,
        0.530338,
        0.545572,
        0.604849,
        0.59107,
        0.535546,
        0.562096,
        0.549994,
        0.491601,
        0.566994,
        0.575902,
        0.485673,
        0.592597,
        0.590503,
        0.536391,
        0.530118,
        0.582495,
        0.596283,
        0.571364,
        0.524527,
        0.578755,
        0.54152,
        0.542391,
        0.529294,
        0.480411,
        0.572397,
        0.45296,
        0.511575,
        0.582317,
        0.580412,
        0.542515,
        0.56909,
        0.541546,
        0.527665,
        0.572455,
        0.520216,
        0.489329,
        0.538759,
        0.638497,
        0.616616,
        0.480074,
        0.526229,
        0.482464,
        0.46011,
        0.56536,
        0.6827,
        0.523001,
        0.439833,
        0.562775,
        0.40989,
        0.385601,
        0.593739,
        0.698047,
        0.494999,
        0.519275,
        0.595494,
        0.474616,
        0.672508,
        0.640934,
        0.820548,
        0.912834,
        0.660077,
        0.551616,
        0.623219,
        0.556961,
        0.515111,
        0.537849,
        0.474164,
        0.548136,
        0.529277,
        0.695316,
        0.613391,
        0.530933,
        0.393909,
        0.479862,
        0.553913,
        0.517726,
        0.665866,
        0.341397,
        0.469419,
        0.51182,
        0.614439,
        0.54183,
        0.508904,
        0.612872,
        0.868188,
        0.609536,
        0.625007,
        0.631547,
        0.68511,
        0.552493,
        0.565587,
        0.675378,
        0.622969,
        0.520381,
        0.592706,
        0.554448,
        0.609012,
        0.623512,
        0.596287,
        0.618779,
        0.654627,
        0.687532,
        0.663664,
        0.646314,
        0.663742,
        0.56598,
        0.639588,
        0.721062,
        0.753324,
        0.768443,
        0.714592,
        0.757362,
        0.701198,
        0.778833,
        0.81177,
        0.861668,
        0.881859,
        0.905186,
        0.874689,
        0.771441,
        0.91201,
        0.946804,
        0.942045,
        0.973294,
        0.970722,
        1.01051,
        1.04871,
        1.10088,
        1.07936,
        1.11853,
        1.06048,
        1.17892,
        1.1845,
        1.13418,
        1.00679,
        1.01626,
        1.01931,
        0.965654,
        0.878148,
        0.819018,
        0.773541,
        0.688324,
        0.677934,
        0.776576,
        0.700069,
        0.738167,
        0.660386,
        0.676844,
        0.603972,
        0.614336,
        0.502359,
        0.546345,
        0.635961,
        0.619726,
        0.575801,
        0.683241,
        0.659977,
        0.796232,
        0.755528,
        0.873214,
        0.639181,
        0.519565,
        0.638408,
        0.88008,
        0.7935,
        0.647413,
        0.653827,
        0.53786,
        0.627099,
        0.73045,
        0.672793,
        0.653866,
        0.704749,
        0.664457,
        0.597851,
        0.603598,
        0.554196,
        0.664033,
        0.58274,
        0.570727,
        0.61302,
        0.522816,
        0.537005,
        0.599891,
        0.542304,
        0.621723,
        0.638696,
        0.537031,
        0.546499,
        0.533851,
        0.496463,
        0.544678,
        0.591748,
        0.503794,
        0.484399,
        0.560899,
        0.610851,
        0.584411,
        0.574974,
        0.527283,
        0.619944,
        0.58072,
        0.555642,
        0.555831,
        0.545376,
        0.587029,
        0.538321,
        0.527152,
        0.548243,
        0.53556,
        0.545142,
        0.530432,
        0.550694,
        0.602063,
        0.63943,
        0.620034,
        0.570868,
        0.592143,
        0.670887,
        0.58291,
        0.579962,
        0.585903,
        0.691501,
        0.593345,
        0.6513,
        0.633236,
        0.703769,
        0.638679,
        0.664606,
        0.618513,
        0.659338,
        0.627028,
        0.653193,
        0.649379,
        0.665147,
        0.786996,
        0.627506,
        0.595028,
        0.616995,
        0.666774,
        0.605101,
        0.627054,
        0.643641,
        0.568612,
        0.717108,
        0.516513,
        0.678818,
        0.561641,
        0.476528,
        0.649492,
        0.506899,
        0.632358,
        0.580922,
        0.424896,
        0.434073,
        0.529576,
        0.557248,
        0.705644,
        0.581717,
        0.497184,
        0.549631,
        0.526743,
        0.509572,
        0.572889,
        0.656109,
        0.561045,
        0.534796,
        0.599336,
        0.639904,
        0.534414,
        0.537768,
        0.606413,
        0.645282,
        0.620187,
        0.59899,
        0.621932,
        0.607212,
        0.593265,
        0.578263,
        0.606029,
        0.571557,
        0.607812,
        0.541087,
        0.475233,
        0.537947,
        0.537284,
        0.409735,
        0.525244,
        0.510256,
        0.533802,
        0.568282,
        0.598639,
        0.571408,
        0.57832,
        0.539671,
        0.498265,
        0.503844,
        0.613849,
        0.545637,
        0.550914,
        0.539289,
        0.626152,
        0.527923,
        0.508553,
        0.520318,
        0.508557,
        0.436808,
        0.425178,
        0.447057,
        0.578469,
        0.554917,
        0.531553,
        0.552236,
        0.537054,
        0.550051,
        0.590963,
        0.565844,
        0.607253,
        0.497817,
        0.519082,
        0.44282,
        0.564387,
        0.465793,
        0.356395,
        0.402657,
        0.536748,
        0.474786,
        0.490314,
        0.60103,
        0.531836,
        0.517075,
        0.503264,
        0.529856,
        0.517663,
        0.585006,
        0.554886,
        0.590553,
        0.623392,
        0.61105,
        0.567344,
        0.525568,
        0.511311,
        0.457459,
        0.641704,
        0.52028,
        0.554888,
        0.645249,
        0.655482,
        0.583395,
        0.522011,
        0.574792,
        0.555962,
        0.559708,
        0.59593,
        0.518522,
        0.613927,
        0.525025,
        0.49462,
        0.501355,
        0.527501,
        0.559556,
        0.533627,
        0.530569,
        0.542248,
        0.58024,
        0.527479,
        0.565784,
        0.616166,
        0.589059,
        0.538145,
        0.464008,
        0.497338,
        0.547655,
        0.5215,
        0.522754,
        0.622306,
        0.548972,
        0.565084,
        0.485035,
        0.549046,
        0.568224,
        0.552504,
        0.488634,
        0.478414,
        0.459341,
        0.577805,
        0.551397,
        0.591461,
        0.489738,
        0.563631,
        0.503543,
        0.577511,
        0.60257,
        0.585979,
        0.567216,
        0.506841,
        0.549526,
        0.568581,
        0.53229,
        0.538998,
        0.602865,
        0.543179,
        0.556239,
        0.621749,
        0.447782,
        0.530295,
        0.597616,
        0.520969,
        0.565578,
        0.54563,
        0.477815,
        0.461083,
        0.548118,
        0.581705,
        0.483577,
        0.518933,
        0.62163,
        0.507929,
        0.600476,
        0.576539,
        0.55189,
        0.506552,
        0.529206,
        0.644695,
        0.492899,
        0.681112,
        0.539174,
        0.427576,
        0.436274,
        0.301092,
        0.463375,
        0.507532,
        0.582733,
        0.548446,
        0.521414,
        0.573787,
        0.520368,
        0.457951,
        0.529158,
        0.609018,
        0.577738,
        0.576426,
        0.600523,
        0.566719,
        0.613365,
        0.555556,
        0.607972,
        0.525424,
        0.491311,
        0.621505,
        0.557482,
        0.549109,
        0.575808,
        0.505616,
        0.647262,
        0.384379,
        0.470752,
        0.550295,
        0.586452,
        0.456174,
        0.590328,
        0.476306,
        0.579232,
        0.593741,
        0.541734,
        0.47646,
        0.577575,
        0.588742,
        0.55642,
        0.564939,
        0.44113,
        0.510054,
        0.574613,
        0.532632,
        0.596792,
        0.580949,
        0.548875,
        0.583102,
        0.578388,
        0.542828,
        0.584321,
        0.669829,
        0.486352,
        0.504877,
        0.485345,
        0.537823,
        0.507255,
        0.509292,
        0.618285,
        0.564295,
        0.577323,
        0.470164,
        0.584667,
        0.629591,
        0.411909,
        0.575441,
        0.465666,
        0.499652,
        0.45709,
        0.538241,
        0.634043,
        0.554905,
        0.535974,
        0.567195,
        0.465885,
        0.496403,
        0.56795,
        0.542535,
        0.594136,
        0.584199,
        0.620046,
        0.57494,
        0.41404,
        0.548808,
        0.564598,
        0.5256,
        0.552104,
        0.567409,
        0.568537,
        0.539029,
        0.579367,
        0.536844,
        0.566967,
        0.555848,
        0.561909,
        0.59872,
        0.583298,
        0.643666,
        0.555506,
        0.572925,
        0.581464,
        0.503641,
        0.535679,
        0.594658,
        0.586042,
        0.557871,
        0.55856,
        0.604427,
        0.586488,
        0.604909,
        0.611582,
        0.55547,
        0.519051,
        0.543204,
        0.602738,
        0.548166,
        0.535199,
        0.545821,
        0.506313,
        0.545198,
        0.511472,
        0.485,
        0.526161,
        0.606083,
        0.610528,
        0.551937,
        0.560633,
        0.507457,
        0.555201,
        0.531732,
        0.551792,
        0.592086,
        0.609664,
        0.59339,
        0.56511,
        0.524787,
        0.544569,
        0.605618,
        0.553945,
        0.536957,
        0.486814,
        0.587537,
        0.590297,
        0.630645,
        0.487847,
        0.564942,
        0.542124,
        0.522433,
        0.560153,
        0.576523,
        0.589039,
        0.552755,
        0.59975,
        0.466008,
        0.551635,
        0.668996,
        0.607055,
        0.587733,
        0.534469,
        0.501829,
        0.515942,
        0.522275,
        0.510726,
        0.675737,
        0.696594,
        0.670399,
        0.600552,
        0.583689,
        0.591205,
        0.690987,
        0.76699,
        0.778385,
        0.691331,
        0.720906,
        0.632699,
        0.875223,
        0.896371,
        0.778933,
        0.824057,
        0.844268,
        0.805098,
        0.967777,
        1.00182,
        1.06119,
        0.797979,
        0.903323,
        0.926513,
        1.09063,
        1.06927,
        1.14199,
        0.935918,
        0.870843,
        0.735128,
        0.845447,
        0.679579,
        0.835967,
        0.898658,
        0.666549,
        0.71447,
        0.768721,
        0.554404,
        0.823979,
        0.734641,
        0.644527,
        0.525907,
        0.654196,
        0.520951,
        0.679762,
        0.6964,
        0.732386,
        0.6372,
        0.631556,
        0.682351,
        0.572253,
        0.690893,
        0.643275,
        0.69573,
        0.806159,
        0.753776,
        1.35565,
        0.79743,
        0.668032,
        0.778667,
        0.747181,
        0.707425,
        0.767353,
        0.710965,
        0.678548,
        0.498954,
        0.576751,
        0.581779,
        0.656995,
        0.818057,
        0.643318,
        0.690808,
        0.634351,
        0.548844,
        0.669489,
        0.64609,
        0.58651,
        0.627392,
        0.603159,
        0.566202,
        0.582835,
        0.639453,
        0.671316,
        0.635607,
        0.669744,
        0.740293,
        0.723353,
        0.630036,
        0.632052,
        0.662477,
        0.687478,
        0.566729,
        0.648166,
        0.653249,
        0.755506,
        0.594181,
        0.750108,
        0.562376,
        0.625735,
        0.627375,
        0.638928,
        0.524229,
        0.591269,
        0.546962,
        0.512792,
        0.547503,
        0.529646,
        0.557663,
        0.567841,
        0.433548,
        0.478314,
        0.585067,
        0.463617,
        0.533709,
        0.534851,
        0.563985,
        0.560712,
        0.594783,
        0.597591,
        0.540631,
        0.660028,
        0.596784,
        0.596335,
        0.683075,
        0.529891,
        0.46893,
        0.533225,
        0.711071,
        0.661239,
        0.582617,
        0.541547,
        0.704805,
        0.532654,
        0.481096,
        0.531045,
        0.506307,
        0.615198,
        0.471766,
        0.67417,
        0.63114,
        0.487717,
        0.615985,
        0.62723,
        0.520808,
        0.592472,
        0.560399,
        0.461375,
        0.502599,
        0.540188,
        0.556472,
        0.583328,
        0.617691,
        0.642103,
        0.67614,
        0.687055,
        0.623432,
        0.499792,
        0.542146,
        0.605604,
        0.592804,
        0.62921,
        0.591351,
        0.488625,
        0.603552,
        0.665881,
        0.635805,
        0.465267,
        0.465202,
        0.428455,
        0.444261,
        0.632188,
        0.619641,
        0.616921,
        0.630077,
        0.418611,
        0.464861,
        0.57145,
        0.792879,
        0.703216,
        0.709907,
        0.515702,
        0.589838,
        0.456816,
        0.688596,
        0.732213,
        0.652029,
        0.602573,
        0.64836,
        0.692557,
        0.473571,
        0.418769,
        0.431926,
        0.498963,
        0.649583,
        0.723479,
        0.694067,
        0.607078,
        0.577994,
        0.500459,
        0.636343,
        0.585936,
        0.630682,
        0.616066,
        0.506523,
        0.534122,
        0.529909,
        0.60353,
        0.54898,
        null,
        null,
        0.70167,
        0.694556,
        0.971146,
        0.887835,
        0.616247,
        0.565382,
        0.566627,
        0.65795,
        0.628121,
        0.561523,
        0.564684,
        0.408861,
        0.509824,
        0.662776,
        0.494777,
        0.529692,
        0.634168,
        0.610658,
        0.57833,
        0.533803,
        0.482148,
        0.493709,
        0.571497,
        0.612309,
        0.636248,
        0.592817,
        0.650662,
        0.503559,
        0.510019,
        0.568754,
        0.548998,
        0.579425,
        0.633945,
        0.604736,
        0.530182,
        0.552292,
        0.580986,
        0.55888,
        0.579165,
        0.563783,
        0.703446,
        0.641765,
        0.530851,
        0.513952,
        0.60412,
        0.609411,
        0.586389,
        0.589332,
        0.544038,
        0.59069,
        0.542815,
        0.516322,
        0.452009,
        0.473419,
        0.530765,
        0.608647,
        0.595915,
        0.637716,
        0.670995,
        0.555489,
        0.531242,
        0.605118,
        0.606472,
        0.568523,
        0.543946,
        0.595663,
        0.606341,
        0.603378,
        0.576523,
        0.556697,
        0.518354,
        0.541653,
        0.547776,
        0.527557,
        0.538212,
        0.587351,
        0.602024,
        0.584903,
        0.583502,
        0.577556,
        0.522103,
        0.544744,
        0.576566,
        0.565208,
        0.494321,
        0.542358,
        0.51522,
        0.576736,
        0.578028,
        0.551939,
        0.545725,
        0.525463,
        0.522943,
        0.570349,
        0.617869,
        0.622266,
        0.621009,
        0.545313,
        0.560973,
        0.634472,
        0.571768,
        0.523468,
        0.604497,
        0.52366,
        0.537214,
        0.585084,
        0.627566,
        0.622535,
        0.578108,
        0.665599,
        0.512906,
        0.587756,
        0.636529,
        0.621553,
        0.557944,
        0.589462,
        0.5839,
        0.617925,
        0.647431,
        0.596191,
        0.595723,
        0.537598,
        0.622117,
        0.616285,
        0.623471,
        0.655311,
        0.609276,
        0.569792,
        0.515336,
        0.577321,
        0.549907,
        0.588031,
        0.588919,
        0.596794,
        0.602521,
        0.561104,
        0.52373,
        0.578889,
        0.584653,
        0.556457,
        0.573109,
        0.620363,
        0.607929,
        0.607371,
        0.598667,
        0.559973,
        0.613684,
        0.662079,
        0.661924,
        0.611196,
        0.52745,
        0.554831,
        0.550638,
        0.60136,
        0.610349,
        0.539874,
        0.451154,
        0.59176,
        0.464107,
        0.560305,
        0.708779,
        0.596346,
        0.560983,
        0.740268,
        0.614209,
        0.541906,
        0.631716,
        0.631006,
        0.633595,
        0.627563,
        0.56528,
        0.568204,
        0.63447,
        0.591128,
        0.669336,
        0.644974,
        0.58179,
        0.577669,
        0.62582,
        0.609109,
        0.583836,
        0.589069,
        0.548374,
        0.520585,
        0.539093,
        0.575546,
        0.627145,
        0.64598,
        0.655566,
        0.612237,
        0.6863,
        0.666656,
        0.647441,
        0.606321,
        0.646636,
        0.60498,
        0.614135,
        0.596199,
        0.599588,
        0.614501,
        0.593648,
        0.632401,
        0.530152,
        0.517353,
        0.511597,
        0.537392,
        0.620951,
        0.707466,
        0.615504,
        0.582292,
        0.530161,
        0.591574,
        0.654868,
        0.632253,
        0.619554,
        0.607539,
        0.495712,
        0.459458,
        0.66561,
        0.58817,
        0.526311,
        0.519989,
        0.530434,
        0.540721,
        0.675907,
        0.647769,
        0.628137,
        0.62087,
        0.626024,
        0.563276,
        0.500956,
        0.470582,
        0.510698,
        0.553494,
        0.530926,
        0.533821,
        0.570842,
        0.613093,
        0.578123,
        0.676267,
        0.572871,
        0.562403,
        0.469388,
        0.525524,
        0.545125,
        0.692591,
        0.595896,
        0.453998,
        0.419071,
        0.47419,
        0.55531,
        0.659342,
        0.659188,
        0.5578,
        0.564509,
        0.562718,
        0.598423,
        0.836199,
        0.779409,
        0.614587,
        0.793755,
        0.779012,
        0.85192,
        0.793185,
        0.899798,
        0.568236,
        0.559652,
        0.612638,
        0.529884,
        0.688947,
        0.62781,
        0.745519,
        0.557375,
        0.52844,
        0.549628,
        0.58424,
        0.568965,
        0.641227,
        0.592557,
        0.694785,
        0.654422,
        0.636259,
        0.63254,
        0.648422,
        0.633299,
        0.593434,
        0.572468,
        0.583606,
        0.671728,
        0.568653,
        0.615531,
        0.706033,
        0.723864,
        0.765932,
        0.783395,
        0.839206,
        0.77961,
        0.821253,
        0.906883,
        0.9213,
        0.888031,
        1.00018,
        1.12833,
        1.04617,
        1.08414,
        1.14826,
        1.16001,
        1.22004,
        1.21192,
        1.08456,
        1.1338,
        1.07718,
        0.960623,
        0.99273,
        0.997368,
        0.992196,
        0.912154,
        0.857093,
        0.798821,
        0.727745,
        0.671294,
        0.819547,
        0.719052,
        0.538082,
        0.634409,
        0.584141,
        0.66551,
        0.696172,
        0.656238,
        0.667487,
        0.69535,
        0.717561,
        0.780039,
        0.841177,
        0.855143,
        0.886097,
        0.866243,
        0.910815,
        0.886109,
        0.948647,
        0.852731,
        0.873748,
        0.73477,
        0.73174,
        0.638824,
        0.472536,
        0.390782,
        0.61456,
        0.633303,
        0.625726,
        0.520066,
        0.545206,
        0.619624,
        0.644978,
        0.592074,
        0.512718,
        0.582918,
        0.657053,
        0.620602,
        0.629259,
        0.491701,
        0.634912,
        0.590341,
        0.607846,
        0.629033,
        0.679031,
        0.665732,
        0.576217,
        0.531621,
        0.642223,
        0.624386,
        0.624264,
        0.655166,
        0.618416,
        0.706238,
        0.644673,
        0.708004,
        0.678207,
        0.52001,
        0.611282,
        0.608776,
        0.614591,
        0.475539,
        0.510744,
        0.538097,
        0.665705,
        0.6899,
        0.601456,
        0.556979,
        0.560083,
        0.559206,
        0.632195,
        0.692924,
        0.571918,
        0.625906,
        0.537872,
        0.576271,
        0.543868,
        0.517291,
        0.539431,
        0.652775,
        0.621602,
        0.64404,
        0.642979,
        0.686101,
        0.612288,
        0.606418,
        0.679299,
        0.526724,
        0.617056,
        0.589697,
        0.642745,
        0.597039,
        0.49042,
        0.527185,
        0.515188,
        0.621065,
        0.819149,
        0.577607,
        0.612357,
        0.593389,
        0.570716,
        0.595177,
        0.460131,
        0.573243,
        0.624061,
        0.577565,
        0.63739,
        0.686399,
        0.515758,
        0.637429,
        0.669797,
        0.580085,
        0.651994,
        0.609341,
        0.689034,
        0.54451,
        0.587285,
        0.532402,
        0.404244,
        0.548387,
        0.562884,
        0.747048,
        0.947273,
        0.763585,
        0.766038,
        0.731686,
        0.742911,
        0.372645,
        0.528871,
        0.619639,
        0.671789,
        0.750684,
        0.607293,
        0.622227,
        0.645726,
        0.5323,
        0.547025,
        0.593491,
        0.612543,
        0.551084,
        0.644443,
        0.68516,
        0.488403,
        0.57848,
        0.550122,
        0.647265,
        0.655165,
        0.606175,
        0.598198,
        0.545065,
        0.552282,
        0.587399,
        0.662631,
        0.652121,
        0.575221,
        0.54151,
        0.509788,
        0.614072,
        0.671027,
        0.651129,
        0.616983,
        0.615993,
        0.590819,
        0.594553,
        0.617836,
        0.653939,
        0.614213,
        0.65764,
        0.638568,
        0.610652,
        0.564752,
        0.466217,
        0.571805,
        0.560935,
        0.559177,
        0.454698,
        0.661076,
        0.612113,
        0.557597,
        0.700394,
        0.587443,
        0.642364,
        0.743015,
        0.607902,
        0.549544,
        0.58935,
        0.571856,
        0.6312,
        0.601653,
        0.628105,
        0.589489,
        0.550062,
        0.560379,
        0.537935,
        0.48534,
        0.581138,
        0.592796,
        0.595306,
        0.627544,
        0.68137,
        0.582247,
        0.584376,
        0.636023,
        0.589336,
        0.625195,
        0.621263,
        0.580743,
        0.526317,
        0.656756,
        0.610294,
        0.628252,
        0.600854,
        0.635103,
        0.553296,
        0.541723,
        0.57221,
        0.626021,
        0.600408,
        0.560433,
        0.552761,
        0.590918,
        0.654796,
        0.66917,
        0.542984,
        0.542161,
        0.582127,
        0.518484,
        0.557543,
        0.576079,
        0.572171,
        0.592552,
        0.538776,
        0.588623,
        0.631843,
        0.645264,
        0.590711,
        0.602441,
        0.562043,
        0.459365,
        0.562237,
        0.559754,
        0.515389,
        0.573679,
        0.571389,
        0.597146,
        0.663505,
        0.62286,
        0.567895,
        0.543775,
        0.523206,
        0.519413,
        0.57543,
        0.543033,
        0.591871,
        0.56818,
        0.618333,
        0.640449,
        0.586873,
        0.530596,
        0.5574,
        0.623799,
        0.620718,
        0.59824,
        0.592743,
        0.593944,
        0.640604,
        0.577684,
        0.579359,
        0.581843,
        0.588035,
        0.560047,
        0.508484,
        0.454819,
        0.561115,
        0.609923,
        0.578883,
        0.609532,
        0.603209,
        0.590144,
        0.614371,
        0.574731,
        0.57967,
        0.545571,
        0.478111,
        0.580392,
        0.652059,
        0.670491,
        0.51673,
        0.665858,
        1.00232,
        0.892798,
        0.927176,
        0.591761,
        0.560469,
        0.565047,
        0.483489,
        0.692311,
        0.618308,
        0.645402,
        0.529041,
        0.702342,
        0.688315,
        0.640862,
        0.59946,
        0.588714,
        0.570671,
        0.680388,
        0.565049,
        0.522804,
        0.543628,
        0.560172,
        0.558351,
        0.655555,
        0.604173,
        0.573854,
        0.610904,
        0.658584,
        0.65364,
        0.558261,
        0.57623,
        0.616764,
        0.617949,
        0.564801,
        0.583282,
        0.615689,
        0.615722,
        0.574169,
        0.568536,
        0.559915,
        0.536102,
        0.545904,
        0.606872,
        0.576229,
        0.562903,
        0.502506,
        0.565867,
        0.644068,
        0.562999,
        0.596421,
        0.572118,
        0.611668,
        0.615492,
        0.575069,
        0.655748,
        0.591425,
        0.65584,
        0.565024,
        0.642936,
        0.652195,
        0.56074,
        0.595547,
        0.612697,
        0.616716,
        0.597477,
        0.604199,
        0.503676,
        0.627342,
        0.527147,
        0.645145,
        0.658489,
        0.750257,
        0.628681,
        0.691517,
        0.598962,
        0.578164,
        0.555574,
        0.585971,
        0.617524,
        0.595527,
        0.460132,
        0.512506,
        0.551558,
        0.516403,
        0.582257,
        0.506079,
        0.443185,
        0.489644,
        0.557754,
        0.600069,
        0.547496,
        0.487446,
        0.556391,
        0.607358,
        0.596296,
        0.62785,
        0.596547,
        0.54177,
        0.656086,
        0.61856,
        0.65299,
        0.62326,
        0.604886,
        0.574352,
        0.6321,
        0.693405,
        0.599559,
        0.56974,
        0.608787,
        0.56943,
        0.613524,
        0.576598,
        0.594009,
        0.577162,
        0.53133,
        0.56622,
        0.50904,
        0.568149,
        0.659359,
        0.620368,
        0.574544,
        0.606774,
        0.518997,
        0.546654,
        0.665351,
        0.586878,
        0.540224,
        0.684227,
        0.658228,
        0.672783,
        0.675918,
        0.654246,
        0.524868,
        0.463287,
        0.565506,
        0.614114,
        0.69896,
        0.641466,
        0.67344,
        0.684315,
        0.661872,
        0.643866,
        0.70081,
        0.681854,
        0.723721,
        0.742247,
        0.767438,
        0.820521,
        0.69709,
        0.737332,
        0.833813,
        0.891058,
        0.894805,
        0.874561,
        0.939577,
        0.79632,
        0.949939,
        0.930582,
        1.04586,
        0.835192,
        0.808491,
        0.872634,
        1.00152,
        1.10769,
        1.09973,
        0.879824,
        1.07354,
        0.864652,
        0.585271,
        0.522856,
        0.609232,
        0.769157,
        0.793741,
        0.747847,
        0.685868,
        0.720061,
        0.664013,
        0.716272,
        0.716203,
        0.745818,
        0.824301,
        0.757505,
        0.864219,
        0.672623,
        0.702514,
        0.813867,
        0.711806,
        0.664497,
        0.713665,
        0.606452,
        0.657719,
        0.718343,
        0.651659,
        0.582925,
        0.621773,
        0.658309,
        0.651691,
        0.518023,
        0.553484,
        0.511174,
        0.605092,
        0.630836,
        0.581979,
        0.534206,
        0.502513,
        0.664715,
        0.566871,
        0.50637,
        0.608301,
        0.572503,
        0.616543,
        0.642652,
        0.579587,
        0.599643,
        0.551537,
        0.531769,
        0.689299,
        0.538989,
        0.559873,
        0.594959,
        0.508438,
        0.524752,
        0.586546,
        0.59327,
        0.667579,
        0.64845,
        0.639828,
        0.685572,
        0.588264,
        0.57988,
        0.54982,
        0.616412,
        0.523317,
        0.627882,
        0.620803,
        0.469164,
        0.50005,
        0.664049,
        0.602269,
        0.573388,
        0.591601,
        0.612112,
        0.553121,
        0.528885,
        0.641344,
        0.674999,
        0.670333,
        0.606712,
        0.495983,
        0.598647,
        0.567445,
        0.597609,
        0.622292,
        0.509937,
        0.625426,
        0.590311,
        0.609643,
        0.738277,
        0.685598,
        0.613198,
        0.564532,
        0.537356,
        0.543571,
        0.557944,
        0.548546,
        0.548232,
        0.569478,
        0.571956,
        0.617764,
        0.558283,
        0.535545,
        0.552561,
        0.556186,
        0.559866,
        0.599221,
        0.628911,
        0.56874,
        0.508263,
        0.560963,
        0.465936,
        0.456623,
        0.522854,
        0.520036,
        0.580462,
        0.59292,
        0.63215,
        0.6226,
        0.504786,
        0.547816,
        0.53987,
        0.575896,
        0.67212,
        0.57625,
        0.588233,
        0.566347,
        0.470669,
        0.462201,
        0.534353,
        0.541625,
        0.521347,
        0.500079,
        0.575514,
        0.503252,
        0.541917,
        0.600942,
        0.47621,
        0.528694,
        0.4952,
        0.550466,
        0.481598,
        0.554781,
        0.594222,
        0.549236,
        0.548641,
        0.564874,
        0.514583,
        0.633938,
        0.598659,
        0.661357,
        0.639922,
        0.599187,
        0.581888,
        0.723889,
        0.676815,
        0.831389,
        0.667719,
        0.667298,
        0.85273,
        0.713261,
        0.580516,
        0.624362,
        0.615022,
        0.595813,
        0.58593,
        0.616081,
        0.567492,
        0.407358,
        0.527718,
        0.683023,
        0.634621,
        0.60432,
        0.5648,
        0.60469,
        0.678557,
        0.612349,
        0.744481,
        0.582597,
        0.682621,
        0.572861,
        0.613245,
        0.600654,
        0.654039,
        0.569817,
        0.489153,
        0.542438,
        0.452606,
        0.533955,
        0.649796,
        0.469487,
        0.560644,
        0.626796,
        0.605562,
        0.573098,
        0.591007,
        0.622746,
        0.500218,
        0.616058,
        0.49949,
        0.408996,
        0.455042,
        0.458214,
        0.587399,
        0.653819,
        0.697377,
        0.568423,
        0.59321,
        0.610122,
        0.51935,
        0.511368,
        0.566427,
        0.505297,
        0.614552,
        0.555532,
        0.658803,
        0.565528,
        0.509537,
        0.544726,
        0.628096,
        0.646047,
        0.555301,
        0.526235,
        0.552833,
        0.497909,
        0.601326,
        0.669409,
        0.668412,
        0.616165,
        0.548581,
        0.562299,
        0.523109,
        0.60757,
        0.572098,
        0.55872,
        0.592482,
        0.634091,
        0.578621,
        0.59673,
        0.589105,
        0.642278,
        0.592108,
        0.691378,
        0.581339,
        0.567272,
        0.636144,
        0.626585,
        0.640887,
        0.643454,
        0.641712,
        0.540672,
        0.56966,
        0.66908,
        0.731976,
        0.653618,
        0.536905,
        0.545987,
        0.503098,
        0.537023,
        0.569247,
        0.638548,
        0.613903,
        0.563885,
        0.560343,
        0.622486,
        0.521748,
        0.488109,
        0.472296,
        0.519171,
        0.545433,
        0.611429,
        0.717327,
        0.557399,
        0.63282,
        0.618491,
        0.634488,
        0.605264,
        0.575119,
        0.611982,
        0.548851,
        0.516296,
        0.606179,
        0.568326,
        0.656115,
        0.672858,
        0.557903,
        0.526939,
        0.583224,
        0.596054,
        0.574221,
        0.708715,
        0.525248,
        0.7133,
        0.577193,
        0.638274,
        0.598821,
        0.495402,
        0.408573,
        0.38342,
        0.447778,
        0.651645,
        0.748478,
        0.535931,
        0.543991,
        0.500215,
        0.489265,
        0.641932,
        0.614316,
        0.675686,
        0.792099,
        0.687423,
        0.629928,
        0.890203,
        0.765231,
        0.922478,
        0.835497,
        0.762062,
        0.68588,
        0.569148,
        0.549964,
        0.772355,
        0.782905,
        0.692793,
        0.639336,
        0.687256,
        0.804908,
        0.761053,
        0.76543,
        0.583196,
        0.852691,
        0.735079,
        0.677207,
        0.741187,
        0.967776,
        0.919863,
        null,
        0.841467,
        0.954967,
        0.698033,
        0.537541,
        0.613226,
        0.663724,
        0.629938,
        0.564156,
        0.68887,
        0.488948,
        0.650408,
        0.491291,
        0.535345,
        0.566108,
        0.767925,
        0.788406,
        0.530716,
        0.836123,
        0.618966,
        0.919975,
        0.864027,
        0.664663,
        0.773741,
        0.637522,
        0.523914,
        0.494122,
        0.573851,
        0.626747,
        0.567051,
        0.572565,
        0.503137,
        0.578827,
        0.549024,
        0.704905,
        0.607391,
        0.656276,
        0.422556,
        0.543718,
        0.563978,
        0.634,
        0.621973,
        0.596137,
        0.639172,
        0.619577,
        0.58615,
        0.555671,
        0.446875,
        0.632527,
        0.667751,
        0.455701,
        0.631956,
        0.669266,
        0.519414,
        0.567734,
        0.666939,
        0.792831,
        0.63919,
        0.482758,
        0.575523,
        0.622807,
        0.592534,
        0.601074,
        0.729694,
        0.562103,
        0.545339,
        0.684869,
        0.683108,
        0.577951,
        0.646413,
        0.56479,
        0.654961,
        0.732283,
        0.64063,
        0.59637,
        0.564837,
        0.58284,
        0.491007,
        0.533713,
        0.585502,
        0.606597,
        0.565891,
        0.698501,
        0.62966,
        0.590627,
        0.537084,
        0.578014,
        0.693189,
        0.656289,
        0.706148,
        0.697012,
        0.531912,
        0.424029,
        0.545352,
        0.599413,
        0.521639,
        0.59712,
        0.754927,
        0.595434,
        0.552675,
        0.581633,
        0.601362,
        0.624192,
        0.65157,
        0.595055,
        0.508648,
        0.623308,
        0.588037,
        0.664614,
        0.592119,
        0.655904,
        0.626187,
        0.594563,
        0.579543,
        0.552343,
        0.487603,
        0.544318,
        0.674794,
        0.638344,
        0.569156,
        0.443037,
        0.591626,
        0.54844,
        0.419827,
        0.525424,
        0.643625,
        0.649888,
        0.55069,
        0.588809,
        0.635694,
        0.657758,
        0.609645,
        0.629192,
        0.544242,
        0.422038,
        0.544188,
        0.580082,
        0.469014,
        0.495727,
        0.53674,
        0.527139,
        0.562659,
        0.476137,
        0.522001,
        0.456808,
        0.451594,
        0.758157,
        0.85529,
        0.53536,
        0.534194,
        0.455368,
        0.546748,
        0.757868,
        0.632941,
        0.511434,
        0.642587,
        0.679304,
        0.620764,
        0.473802,
        0.628949,
        0.676071,
        0.57541,
        0.737361,
        0.558127,
        0.474986,
        0.624376,
        0.730679,
        0.722351,
        0.660842,
        0.65479,
        0.587004,
        0.676332,
        0.498151,
        0.431304,
        0.58285,
        0.684959,
        0.647032,
        0.461975,
        0.415909,
        0.648546,
        0.587622,
        0.624447,
        0.623569,
        0.552261,
        0.434977,
        0.514829,
        0.642391,
        0.622888,
        0.58913,
        0.571194,
        0.472276,
        0.667314,
        0.640828,
        0.564422,
        0.663557,
        0.597367,
        0.464538,
        0.545654,
        0.557293,
        0.558071,
        0.552685,
        0.597209,
        0.578233,
        0.563531,
        0.624888,
        0.605418,
        0.649088,
        0.503846,
        0.598301,
        0.558602,
        0.617537,
        0.574771,
        0.665464,
        0.647404,
        0.667729,
        0.540201,
        0.530426,
        0.587925,
        0.506276,
        0.435442,
        0.612041,
        0.52831,
        0.504781,
        0.589334,
        0.580008,
        0.63795,
        0.654017,
        0.607218,
        0.664281,
        0.565331,
        0.625454,
        0.683195,
        0.717539,
        0.622961,
        0.67211,
        0.658066,
        0.583043,
        0.574567,
        0.62545,
        0.470068,
        0.559882,
        0.584483,
        0.424951,
        0.4763,
        0.648656,
        0.655564,
        0.641755,
        0.462696,
        0.449927,
        0.529616,
        0.495512,
        0.683204,
        0.581482,
        0.6051,
        0.646438,
        0.534812,
        0.679902,
        0.608283,
        0.721936,
        0.673331,
        0.507949,
        0.508221,
        0.653629,
        0.553517,
        0.739933,
        0.590946,
        0.745739,
        0.661834,
        0.564287,
        0.609071,
        0.673756,
        0.742216,
        0.634871,
        0.65246,
        0.64746,
        0.646553,
        0.665164,
        0.581225,
        0.620266,
        0.715111,
        0.556071,
        0.592757,
        0.510515,
        0.598252,
        0.760666,
        0.57177,
        0.556115,
        0.631245,
        0.546294,
        0.563634,
        0.68191,
        0.836811,
        0.49717,
        0.512363,
        0.546039,
        0.711076,
        0.53981,
        0.659766,
        0.537444,
        0.440486,
        0.669863,
        0.641175,
        0.452387,
        0.677124,
        0.586318,
        0.579164,
        0.687179,
        0.776437,
        0.451424,
        0.610794,
        0.755326,
        null,
        0.558009,
        0.548959,
        0.539572,
        0.5703,
        0.602533,
        0.638418,
        0.547243,
        0.577243,
        0.562537,
        0.503636,
        0.51344,
        0.479294,
        0.559176,
        0.61841,
        0.577901,
        0.523655,
        0.517686,
        0.563349,
        0.6074,
        0.628515,
        0.627318,
        0.688777,
        0.660736,
        0.565852,
        0.514175,
        0.54256,
        0.570823,
        0.606259,
        0.578131,
        0.543503,
        0.507819,
        0.54123,
        0.597601,
        0.609071,
        0.551297,
        0.521908,
        0.533283,
        0.594456,
        0.540906,
        0.504219,
        0.589995,
        0.559198,
        0.595568,
        0.575071,
        0.444792,
        0.405157,
        0.475735,
        0.606925,
        0.502907,
        0.489231,
        0.604598,
        0.612049,
        0.487399,
        0.410994,
        0.4317,
        0.563436,
        0.60136,
        0.551746,
        0.603166,
        0.602806,
        0.492614,
        0.666769,
        0.556212,
        0.553718,
        0.596507,
        0.557135,
        0.609604,
        0.584412,
        0.569759,
        0.568687,
        0.646939,
        0.498647,
        0.583635,
        0.540532,
        0.521821,
        0.594527,
        0.545983,
        0.513477,
        0.423425,
        0.627199,
        0.618194,
        0.61009,
        0.644525,
        0.454069,
        0.428045,
        0.556579,
        0.587258,
        0.475361,
        0.545116,
        0.476846,
        0.510633,
        0.459457,
        0.580882,
        0.64946,
        0.622064,
        0.583598,
        0.586727,
        0.621782,
        0.585565,
        0.525002,
        0.6406,
        0.615097,
        0.598099,
        0.590245,
        0.574146,
        0.563587,
        0.625871,
        0.613338,
        0.634726,
        0.502499,
        0.526761,
        0.535428,
        0.512461,
        0.486832,
        0.574632,
        0.5692,
        0.558913,
        0.527137,
        0.552767,
        0.540467,
        0.552826,
        0.545913,
        0.531536,
        0.572251,
        0.62218,
        0.540501,
        0.554132,
        0.531713,
        0.496601,
        0.493661,
        0.481352,
        0.551618,
        0.60294,
        0.552614,
        0.574554,
        0.586238,
        0.597524,
        0.584773,
        0.614629,
        0.559563,
        0.555899,
        0.519934,
        0.537038,
        0.614484,
        0.593382,
        0.608732,
        0.557909,
        0.595324,
        0.530576,
        0.577884,
        0.556615,
        0.473419,
        0.516712,
        0.59688,
        0.565755,
        0.600671,
        0.589021,
        0.587079,
        0.527847,
        0.581034,
        0.52641,
        0.543455,
        0.486853,
        0.561345,
        0.52944,
        0.522293,
        0.55022,
        0.488502,
        0.521202,
        0.597954,
        0.594996,
        0.597795,
        0.569243,
        0.555882,
        0.517499,
        0.637955,
        0.684362,
        0.639581,
        0.621964,
        0.619505,
        0.576236,
        0.701463,
        0.667561,
        0.588693,
        0.515437,
        0.643957,
        0.680278,
        0.655966,
        0.628029,
        0.619198,
        0.650988,
        0.549267,
        0.56368,
        0.593644,
        0.582403,
        0.606941,
        0.618086,
        0.600574,
        0.661493,
        0.638874,
        0.50496,
        0.521014,
        0.63214,
        0.620424,
        0.563487,
        0.546681,
        0.66716,
        0.520236,
        0.500998,
        0.539925,
        0.633556,
        0.566473,
        0.53733,
        0.549743,
        0.600844,
        0.685465,
        0.491737,
        0.541133,
        0.540396,
        0.665094,
        0.750076,
        0.676553,
        0.643736,
        0.500036,
        0.620875,
        0.627479,
        0.685112,
        0.635662,
        0.544671,
        0.658465,
        0.667281,
        0.651182,
        0.817408,
        0.655728,
        0.746087,
        0.752252,
        0.718238,
        0.684419,
        0.796166,
        0.788306,
        0.714446,
        0.726649,
        0.643717,
        0.718985,
        0.724628,
        0.697772,
        0.701156,
        0.733789,
        0.732172,
        0.72882,
        0.7697,
        0.735231,
        0.66949,
        0.690845,
        0.717619,
        0.719981,
        0.616014,
        0.570673,
        0.603635,
        0.567301,
        0.669233,
        0.684182,
        0.66141,
        0.581847,
        0.526412,
        0.590995,
        0.626488,
        0.607611,
        0.564449,
        0.586545,
        0.665242,
        0.622035,
        0.590956,
        0.615279,
        0.630232,
        0.699566,
        0.748936,
        0.754669,
        0.689845,
        0.678403,
        0.714827,
        0.746286,
        0.710967,
        0.728336,
        0.644618,
        0.616745,
        0.63313,
        0.665473,
        0.691908,
        0.60168,
        0.605312,
        0.622689,
        0.615747,
        0.63567,
        0.605953,
        0.588304,
        0.621978,
        0.671548,
        0.737244,
        0.752203,
        0.739438,
        0.714098,
        0.822025,
        0.829992,
        0.845003,
        0.842521,
        0.914152,
        0.953389,
        0.905564,
        1.0153,
        0.996794,
        0.962325,
        0.95049,
        0.986202,
        1.02463,
        1.00475,
        1.00373,
        1.10401,
        1.09264,
        1.14729,
        1.10363,
        1.12646,
        1.17195,
        1.17052,
        1.13832,
        1.11739,
        1.15631,
        1.0069,
        0.818066,
        0.75176,
        0.775261,
        0.808532,
        0.651396,
        0.652591,
        0.632812,
        0.544124,
        0.649391,
        0.698761,
        0.608278,
        0.633589,
        0.635106,
        0.608224,
        0.663508,
        0.672724,
        0.741535,
        0.754071,
        0.775332,
        0.723595,
        0.739237,
        0.762442,
        0.677838,
        0.769371,
        0.704163,
        0.71258,
        0.538857,
        0.572267,
        0.517217,
        0.666521,
        0.731101,
        0.763398,
        0.769262,
        0.680188,
        0.687172,
        0.709401,
        0.607466,
        0.699973,
        0.659839,
        0.82885,
        0.71982,
        0.827103,
        0.699472,
        1.41839,
        0.586291,
        0.533935,
        0.617712,
        0.632904,
        0.689414,
        0.780963,
        0.731004,
        0.667475,
        0.526893,
        0.51936,
        0.656346,
        0.607159,
        0.558728,
        0.484218,
        0.559431,
        0.634481,
        0.707075,
        0.562659,
        0.505408,
        0.545363,
        0.541416,
        0.539585,
        0.646765,
        0.522456,
        0.557697,
        0.552302,
        0.506823,
        0.541159,
        0.604949,
        0.591606,
        0.54707,
        0.56777,
        0.526745,
        0.493413,
        0.565991,
        0.586022,
        0.527063,
        0.516161,
        0.489949,
        0.577212,
        0.47112,
        0.597624,
        0.537946,
        0.625645,
        0.622818,
        0.547463,
        0.525833,
        0.545276,
        0.587017,
        0.654162,
        0.55197,
        0.582849,
        0.579406,
        0.541066,
        0.515555,
        0.553501,
        0.536977,
        0.594401,
        0.577428,
        0.600627,
        0.552228,
        0.525978,
        0.524053,
        0.639539,
        0.53504,
        0.58337,
        0.623179,
        0.546756,
        0.569019,
        0.648013,
        0.639513,
        0.529622,
        0.5604,
        0.550124,
        0.636043,
        0.639374,
        0.59415,
        0.567192,
        0.574787,
        0.603309,
        0.602712,
        0.614586,
        0.591192,
        0.583663,
        0.629511,
        0.586481,
        0.604006,
        0.634701,
        0.605785,
        0.610193,
        0.533103,
        0.560579,
        0.555175,
        0.536757,
        0.524583,
        0.542083,
        0.551355,
        0.614097,
        0.60851,
        0.60517,
        0.643676,
        0.58274,
        0.648177,
        0.615107,
        0.58946,
        0.574972,
        0.538377,
        0.611733,
        0.61429,
        0.51386,
        0.591864,
        0.559848,
        0.51043,
        0.483225,
        0.501658,
        0.535965,
        0.452452,
        0.449063,
        0.486101,
        0.469053,
        0.498005,
        0.505079,
        0.584203,
        0.555156,
        0.596583,
        0.631855,
        0.651026,
        0.566111,
        0.538425,
        0.599074,
        0.583708,
        0.58667,
        0.590365,
        0.589709,
        0.624202,
        0.573398,
        0.656825,
        0.584043,
        0.585746,
        0.693695,
        0.513945,
        0.547825,
        0.540998,
        0.676734,
        0.582893,
        0.505879,
        0.600837,
        0.511801,
        0.494033,
        0.58227,
        0.572616,
        0.499702,
        0.462919,
        0.654332,
        0.609119,
        0.59317,
        0.524843,
        0.546311,
        0.611708,
        0.64221,
        0.453422,
        0.474716,
        0.565032,
        0.546121,
        0.586383,
        0.572803,
        0.498688,
        0.52891,
        0.528435,
        0.582527,
        0.599867,
        0.560558,
        0.556881,
        0.54863,
        0.538791,
        0.542199,
        0.603406,
        0.597916,
        0.583511,
        0.596758,
        0.577304,
        0.531312,
        0.471792,
        0.537898,
        0.539821,
        0.55206,
        0.60878,
        0.567595,
        0.605266,
        0.494075,
        0.566292,
        0.448777,
        0.533223,
        0.573438,
        0.512065,
        0.569344,
        0.599715,
        0.624582,
        0.604763,
        0.610201,
        0.630442,
        0.588392,
        0.505949,
        0.528598,
        0.538502,
        0.551386,
        0.516914,
        0.479984,
        0.54289,
        0.569333,
        0.65347,
        0.584274,
        0.527668,
        0.558098,
        0.612818,
        0.47601,
        0.515829,
        0.711699,
        0.780593,
        0.649782,
        0.512775,
        0.628366,
        0.586062,
        0.597711,
        0.643815,
        0.532739,
        0.567785,
        0.590671,
        0.585133,
        0.610685,
        0.53911,
        0.593708,
        0.574499,
        0.528584,
        0.479534,
        0.562742,
        0.622613,
        0.632894,
        0.580089,
        0.490593,
        0.502508,
        0.524229,
        0.54964,
        0.576879,
        0.597628,
        0.632547,
        0.550709,
        0.583159,
        0.552112,
        0.577353,
        0.680261,
        0.659409,
        0.554887,
        0.574433,
        0.554655,
        0.581606,
        0.615681,
        0.584925,
        0.620891,
        0.560545,
        0.50765,
        0.550665,
        0.55564,
        0.613111,
        0.529452,
        0.590591,
        0.656578,
        0.664445,
        0.583335,
        0.536718,
        0.549594,
        0.597842,
        0.525324,
        0.602484,
        0.583535,
        0.538065,
        0.580089,
        0.623185,
        0.683114,
        0.569669,
        0.56852,
        0.563476,
        0.559159,
        0.509762,
        0.535209,
        0.518123,
        0.567294,
        0.68228,
        0.653927,
        0.661929,
        0.590721,
        0.546057,
        0.567235,
        0.600115,
        0.650912,
        0.673599,
        0.658231,
        0.580711,
        0.558411,
        0.628241,
        0.571775,
        0.546426,
        0.615384,
        0.609793,
        0.503071,
        0.493573,
        0.522536,
        0.571726,
        0.6951,
        0.928214,
        0.763589,
        0.631386,
        0.68925,
        0.509749,
        0.524602,
        0.687866,
        0.801123,
        0.652699,
        0.526607,
        0.607901,
        0.604858,
        0.583543,
        0.532448,
        0.567542,
        0.553461,
        0.59301,
        0.609521,
        0.634421,
        0.587915,
        0.560934,
        0.604092,
        0.590507,
        0.559611,
        0.518631,
        0.554929,
        0.57011,
        0.558828,
        0.678486,
        0.680322,
        0.57596,
        0.668008,
        0.690804,
        0.645676,
        0.717924,
        0.675449,
        0.635093,
        0.618369,
        0.667612,
        0.713015,
        0.573323,
        0.62687,
        0.634121,
        0.601674,
        0.602306,
        0.636032,
        0.699052,
        0.70746,
        0.637015,
        0.592059,
        0.545685,
        0.589099,
        0.61525,
        0.629324,
        0.652382,
        0.651129,
        0.649608,
        0.55908,
        0.603297,
        0.684212,
        0.633907,
        0.636708,
        0.620006,
        0.693378,
        0.652262,
        0.687971,
        0.698432,
        0.684706,
        0.707911,
        0.691111,
        0.626121,
        0.648804,
        0.655,
        0.570557,
        0.673204,
        0.721582,
        0.647594,
        0.73321,
        0.733592,
        0.733939,
        0.748698,
        0.879046,
        0.826217,
        0.777725,
        0.860116,
        0.854162,
        0.911826,
        0.954092,
        0.921466,
        0.892225,
        0.956129,
        0.95949,
        0.904604,
        0.925405,
        0.968602,
        0.999459,
        1.07213,
        1.11583,
        1.14805,
        1.12668,
        1.09856,
        1.16712,
        1.0982,
        1.12313,
        1.01981,
        1.05091,
        0.995663,
        0.963895,
        0.875674,
        0.908718,
        0.859331,
        0.739089,
        0.706015,
        0.724689,
        0.737932,
        0.591605,
        0.681811,
        0.70008,
        0.663546,
        0.643363,
        0.571387,
        0.554723,
        0.633058,
        0.654401,
        0.659806,
        0.667272,
        0.69034,
        0.623618,
        0.666361,
        0.713115,
        0.763721,
        0.797139,
        0.779213,
        0.752284,
        0.75181,
        0.842683,
        0.692176,
        0.747088,
        0.685607,
        0.683094,
        0.618042,
        0.674628,
        0.705617,
        0.713404,
        0.689625,
        0.657683,
        0.700772,
        0.506924,
        0.640728,
        0.645635,
        0.632487,
        0.621791,
        0.619583,
        0.661343,
        0.605929,
        0.487507,
        0.462348,
        0.550996,
        0.63992,
        0.976095,
        0.579381,
        0.5881,
        1.18499,
        0.689697,
        0.502123,
        0.526208,
        0.72691,
        0.626176,
        0.51394,
        0.564353,
        0.616397,
        0.652504,
        0.691756,
        0.689782,
        0.566509,
        0.712374,
        0.618962,
        0.576671,
        0.628253,
        0.555056,
        0.535432,
        0.587312,
        0.551765,
        0.586333,
        0.570899,
        0.523748,
        0.507717,
        0.572317,
        0.62688,
        0.62355,
        0.53321,
        0.665285,
        0.62513,
        0.552952,
        0.607082,
        0.621395,
        0.61125,
        0.590393,
        0.627584,
        0.626129,
        0.604102,
        0.602555,
        0.548118,
        0.597081,
        0.665433,
        0.687076,
        0.694478,
        0.655337,
        0.596916,
        0.573549,
        0.574511,
        0.58901,
        0.535893,
        0.560303,
        0.484253,
        0.47744,
        0.452495,
        0.500833,
        0.555119,
        0.565933,
        0.467177,
        0.580491,
        0.544964,
        0.513097,
        0.564585,
        0.490234,
        0.52268,
        0.541788,
        0.566489,
        0.6214,
        0.585916,
        0.575383,
        0.618797,
        0.60648,
        0.506568,
        0.558505,
        0.550112,
        0.51847,
        0.542179,
        0.511956,
        0.600738,
        0.57943,
        0.585162,
        0.709341,
        0.585976,
        0.565998,
        0.571774,
        0.508694,
        0.578904,
        0.562248,
        0.57043,
        0.601613,
        0.571156,
        0.553739,
        0.54489,
        0.563812,
        0.56441,
        0.629396,
        0.591421,
        0.613232,
        0.552486,
        0.51027,
        0.517865,
        0.628964,
        0.615312,
        0.521448,
        0.55718,
        0.56893,
        0.597053,
        0.650355,
        0.595375,
        0.662094,
        0.58141,
        0.531632,
        0.616121,
        0.635822,
        0.574243,
        0.5478,
        0.571838,
        0.547194,
        0.548018,
        0.583043,
        0.521929,
        0.505439,
        0.532272,
        0.611235,
        0.598937,
        0.597184,
        0.559337,
        0.667564,
        0.598114,
        0.602587,
        0.568131,
        0.567975,
        0.629389,
        0.62376,
        0.490471,
        0.532255,
        0.576447,
        0.57035,
        0.549287,
        0.545385,
        0.514664,
        0.485721,
        0.565027,
        0.597386,
        0.621078,
        0.519179,
        0.509413,
        0.546356,
        0.489595,
        0.511685,
        0.578495,
        0.60938,
        0.598791,
        0.518573,
        0.564805,
        0.545011,
        0.626771,
        0.606786,
        0.620033,
        0.453246,
        0.527217,
        0.51356,
        0.392478,
        0.68396,
        0.601612,
        0.850527,
        0.626386,
        0.691536,
        0.540819,
        0.635813,
        0.679901,
        0.617224,
        0.516774,
        0.678571,
        0.66491,
        0.649011,
        0.656822,
        0.544004,
        0.438699,
        0.50446,
        0.495971,
        0.509373,
        0.588443,
        0.510085,
        0.460272,
        0.517132,
        0.545969,
        0.59414,
        0.599607,
        0.589153,
        0.616263,
        0.542806,
        0.608847,
        0.562746,
        0.5738,
        0.590796,
        0.587908,
        0.621971,
        0.677697,
        0.659708,
        0.646689,
        0.568486,
        0.641363,
        0.542271,
        0.538478,
        0.716476,
        0.591905,
        0.547611,
        0.66636,
        0.548914,
        0.601864,
        0.649831,
        0.624,
        0.573592,
        0.603331,
        0.587961,
        0.52366,
        0.623004,
        0.579907,
        0.565119,
        0.618798,
        0.693692,
        0.612676,
        0.67133,
        0.56067,
        0.515711,
        0.530286,
        0.666467,
        0.582811,
        0.547867,
        0.583214,
        0.570181,
        0.58345,
        0.542585,
        0.628708,
        0.574887,
        0.568841,
        0.571045,
        0.599409,
        0.56105,
        0.553557,
        0.594351,
        0.62658,
        0.594534,
        0.602741,
        0.569718,
        0.538836,
        0.582144,
        0.555511,
        0.583271,
        0.530074,
        0.576628,
        0.486211,
        0.635917,
        0.599768,
        0.590093,
        0.565579,
        0.649706,
        0.63614,
        0.609262,
        0.602899,
        0.555824,
        0.608574,
        0.614136,
        0.700451,
        0.641097,
        0.598489,
        0.641605,
        0.544124,
        0.576623,
        0.592763,
        0.530489,
        0.603468,
        0.637316,
        0.592146,
        0.6224,
        0.663905,
        0.613644,
        0.603791,
        0.615767,
        0.659536,
        0.652286,
        0.525819,
        0.54213,
        0.582867,
        0.632469,
        0.591625,
        0.643759,
        0.618082,
        0.665924,
        0.611576,
        0.680481,
        0.664426,
        0.593627,
        0.538935,
        0.603075,
        0.57193,
        0.537322,
        0.617105,
        0.640191,
        0.642179,
        0.586857,
        0.593985,
        0.635298,
        0.717793,
        0.640599,
        0.643312,
        0.623944,
        0.631227,
        0.724024,
        0.717176,
        0.645345,
        0.670082,
        0.622177,
        0.587492,
        0.724631,
        0.620661,
        0.650801,
        0.729055,
        0.740821,
        0.583336,
        0.67699,
        0.696774,
        0.691299,
        0.661204,
        0.680748,
        0.681101,
        0.732086,
        0.727494,
        0.790419,
        0.677731,
        0.717311,
        0.733712,
        0.701705,
        0.49693,
        0.654173,
        0.551973,
        0.533978,
        0.73639,
        0.862656,
        0.615847,
        0.633039,
        0.815193,
        0.78685,
        0.625078,
        0.716052,
        0.672614,
        0.695104,
        0.706912,
        0.751601,
        0.594327,
        0.673516,
        0.634201,
        0.540858,
        0.600647,
        0.587977,
        0.599296,
        0.55784,
        0.563763,
        0.571162,
        0.55988,
        0.599724,
        0.566961,
        0.58555,
        0.634972,
        0.575295,
        0.613938,
        0.655028,
        0.659619,
        0.629382,
        0.587294,
        0.622287,
        0.646412,
        0.653864,
        0.557072,
        0.503348,
        0.513617,
        0.432735,
        0.538599,
        0.609869,
        0.629771,
        0.62545,
        0.621743,
        0.562079,
        0.609114,
        0.594098,
        0.586249,
        0.604948,
        0.553209,
        0.563126,
        0.597355,
        0.536359,
        0.550289,
        0.613333,
        0.528653,
        0.604103,
        0.612774,
        0.503356,
        0.413454,
        0.604912,
        0.533214,
        0.618385,
        0.625573,
        0.614869,
        0.642236,
        0.469425,
        0.492247,
        0.611145,
        0.675193,
        0.64735,
        0.585889,
        0.576253,
        0.611472,
        0.660541,
        0.626498,
        0.633996,
        0.710895,
        0.807167,
        0.694474,
        0.7092,
        0.700938,
        0.853287,
        0.805398,
        0.799058,
        0.770576,
        0.777585,
        0.728665,
        0.752967,
        0.944462,
        0.92089,
        0.866945,
        0.859971,
        0.979897,
        0.921266,
        0.890921,
        1.13958,
        1.21179,
        1.00444,
        0.897802,
        0.883312,
        0.62559,
        0.566657,
        0.642083,
        0.720043,
        0.815862,
        0.763715,
        0.894253,
        0.744986,
        0.675199,
        0.690914,
        0.899952,
        0.714781,
        0.773678,
        0.805596,
        0.770695,
        0.79087,
        0.788233,
        0.892991,
        0.820661,
        0.657178,
        0.793915,
        0.671373,
        0.748416,
        0.730889,
        0.628099,
        0.562021,
        0.742938,
        0.764066,
        0.731007,
        0.64317,
        0.700808,
        0.745951,
        0.651712,
        0.760071,
        0.714453,
        0.759165,
        0.603526,
        0.680253,
        0.61739,
        0.423037,
        0.55465,
        0.709844,
        0.552264,
        0.664451,
        1.50744,
        0.618697,
        0.455617,
        0.550255,
        0.567388,
        0.637024,
        0.740469,
        0.779358,
        0.566875,
        0.590605,
        0.677193,
        0.610603,
        0.556737,
        0.607314,
        0.611532,
        0.571984,
        0.436754,
        0.601127,
        0.675893,
        0.703366,
        0.606114,
        0.667487,
        0.556177,
        0.51824,
        0.573774,
        0.670483,
        0.630083,
        0.578434,
        0.562637,
        0.539586,
        0.510815,
        0.635407,
        0.623788,
        0.621356,
        0.614846,
        0.505549,
        0.579836,
        0.631369,
        0.513604,
        0.559904,
        0.516565,
        0.52149,
        0.556697,
        0.526861,
        0.510217,
        0.665885,
        0.635945,
        0.63539,
        0.556406,
        0.433554,
        0.545809,
        0.610708,
        0.68105,
        0.513543,
        0.557988,
        0.555909,
        0.560254,
        0.555442,
        0.629872,
        0.611626,
        0.595469,
        0.507848,
        0.59038,
        0.688375,
        0.575965,
        0.510575,
        0.581847,
        0.552924,
        0.628206,
        0.663903,
        0.551936,
        0.536918,
        0.579143,
        0.527626,
        0.536554,
        0.436639,
        0.655262,
        0.584906,
        0.456942,
        0.536959,
        0.539654,
        0.529756,
        0.597638,
        0.624099,
        0.528208,
        0.610659,
        0.550431,
        0.574832,
        0.582708,
        0.576582,
        0.594701,
        0.538856,
        0.591607,
        0.53458,
        0.578881,
        0.508828,
        0.571581,
        0.570567,
        0.522356,
        0.630066,
        0.588044,
        0.585155,
        0.555376,
        0.621824,
        0.640702,
        0.54639,
        0.488581,
        0.570509,
        0.558858,
        0.592459,
        0.601873,
        0.728043,
        0.612069,
        0.645132,
        0.635332,
        0.613561,
        0.470647,
        0.67548,
        0.645499,
        0.632806,
        0.50769,
        0.653629,
        0.709716,
        0.548351,
        0.56304,
        0.644395,
        0.601472,
        0.551337,
        0.59607,
        0.57675,
        0.573799,
        0.592307,
        0.580757,
        0.613017,
        0.567614,
        0.533895,
        0.637389,
        0.634466,
        0.501108,
        0.533328,
        0.660783,
        0.625381,
        0.454738,
        0.555121,
        0.582783,
        0.541663,
        0.650307,
        0.653279,
        0.512477,
        0.586522,
        0.579365,
        0.578871,
        0.632059,
        0.534819,
        0.526631,
        0.59342,
        0.649319,
        0.382806,
        0.49913,
        0.577219,
        0.538776,
        0.459812,
        0.445792,
        0.417843,
        0.323296,
        0.416294,
        0.42598,
        0.542658,
        0.640792,
        0.455989,
        0.658069,
        0.616226,
        0.448571,
        0.518359,
        0.568834,
        0.62319,
        0.66325,
        0.595597,
        0.734824,
        0.56673,
        0.495397,
        0.703747,
        0.60602,
        0.703222,
        0.65579,
        0.91283,
        0.792792,
        1.47994,
        1.02428,
        0.855523,
        0.740749,
        0.582749,
        0.756495,
        0.560629,
        0.748785,
        0.955043,
        0.484885,
        0.592932,
        0.470675,
        0.484352,
        0.512137,
        0.645925,
        0.710639,
        0.742639,
        0.644483,
        0.631151,
        0.66057,
        0.644576,
        0.693093,
        0.412942,
        0.59517,
        0.646298,
        0.491551,
        0.696299,
        0.600234,
        0.701362,
        0.606048,
        0.684324,
        0.875989,
        0.605922,
        0.561687,
        0.581982,
        0.749505,
        0.723018,
        0.732612,
        0.735251,
        0.746085,
        0.656528,
        0.660529,
        0.520784,
        0.648741,
        0.804192,
        0.818024,
        0.697494,
        0.745427,
        0.702567,
        0.63263,
        0.631547,
        0.685556,
        0.669587,
        0.697583,
        0.701904,
        0.796618,
        0.846114,
        0.565071,
        0.666685,
        0.745907,
        0.831155,
        0.535322,
        0.560794,
        0.427638,
        0.502015,
        0.507062,
        0.552737,
        0.579835,
        0.529533,
        0.69826,
        0.554808,
        0.653862,
        0.489422,
        0.701398,
        0.487773,
        0.697538,
        0.741155,
        0.709982,
        0.757359,
        0.68557,
        0.88889,
        0.660253,
        0.82446,
        0.93777,
        0.76789,
        0.717743,
        0.641964,
        0.589926,
        0.648154,
        0.623236,
        0.540707,
        0.556428,
        0.668829,
        0.729964,
        0.482475,
        0.526612,
        0.755119,
        0.781016,
        0.651088,
        0.616872,
        0.619664,
        0.532755,
        0.555526,
        0.647549,
        0.642969,
        0.620025,
        0.484021,
        0.75619,
        0.619504,
        0.587216,
        0.632553,
        0.823295,
        0.625828,
        0.416352,
        0.467535,
        0.637268,
        0.673626,
        0.640316,
        0.414281,
        0.707541,
        0.637038,
        0.541389,
        0.605895,
        0.588828,
        0.47896,
        0.495122,
        0.650324,
        0.59307,
        0.527284,
        0.50389,
        0.662238,
        0.664341,
        0.48998,
        0.731562,
        0.81346,
        0.557444,
        0.448127,
        0.531712,
        0.546491,
        0.506132,
        0.664952,
        0.582737,
        0.704322,
        0.647853,
        0.63814,
        0.672318,
        0.661297,
        0.682707,
        0.695873,
        0.545325,
        0.466661,
        0.591767,
        0.775233,
        0.595666,
        0.574551,
        0.652611,
        0.606329,
        0.502438,
        0.575035,
        0.436749,
        0.44572,
        0.678598,
        0.54842,
        0.601837,
        0.539981,
        0.494264,
        0.438985,
        0.543265,
        0.509526,
        0.71681,
        0.398041,
        0.594432,
        0.565991,
        0.40914,
        0.629742,
        0.623448,
        0.68372,
        0.848987,
        0.735462,
        0.46902,
        0.560778,
        0.694925,
        0.763968,
        0.932737,
        0.772202,
        0.639866,
        0.658025,
        0.740029,
        0.602942,
        0.75146,
        0.702152,
        null,
        0.588577,
        0.560167,
        0.563931,
        0.623327,
        0.594866,
        0.597292,
        0.652212,
        0.618298,
        0.560329,
        0.500728,
        0.546755,
        0.642691,
        0.585651,
        0.54438,
        0.586171,
        0.598384,
        0.537262,
        0.568416,
        0.576098,
        0.569816,
        0.545814,
        0.532175,
        0.586835,
        0.648186,
        0.440482,
        0.493522,
        0.512611,
        0.542432,
        0.556827,
        0.549041,
        0.579989,
        0.578521,
        0.561498,
        0.600591,
        0.627209,
        0.691951,
        0.596505,
        0.610396,
        0.609138,
        0.631859,
        0.695935,
        0.668535,
        0.650851,
        0.656607,
        0.641063,
        0.654539,
        0.619794,
        0.6115,
        0.543841,
        0.536834,
        0.640398,
        0.66812,
        0.638707,
        0.586612,
        0.596102,
        0.570893,
        0.583889,
        0.555731,
        0.533027,
        0.621604,
        0.623285,
        0.632291,
        0.660717,
        0.633191,
        0.665426,
        0.616965,
        0.599225,
        0.556214,
        0.608644,
        0.595506,
        0.550817,
        0.630315,
        0.657148,
        0.606519,
        0.598566,
        0.62056,
        0.679396,
        0.603537,
        0.677575,
        0.651636,
        0.648109,
        0.673899,
        0.708035,
        0.646167,
        0.6888,
        0.684828,
        0.696208,
        0.71583,
        0.743712,
        0.697504,
        0.624888,
        0.690542,
        0.801382,
        0.633335,
        0.647649,
        0.67639,
        0.682102,
        0.747849,
        0.748234,
        0.753437,
        0.674664,
        0.690792,
        0.705759,
        0.655906,
        0.669814,
        0.636813,
        0.606881,
        0.538239,
        0.553023,
        0.5826,
        0.625012,
        0.616506,
        0.693597,
        0.58778,
        0.54912,
        0.599017,
        0.541789,
        0.557316,
        0.671139,
        0.616095,
        0.601524,
        0.593641,
        0.659674,
        0.625785,
        0.605631,
        0.629212,
        0.614638,
        0.581369,
        0.587828,
        0.677482,
        0.616086,
        0.64864,
        0.594373,
        0.608274,
        0.622857,
        0.625158,
        0.623012,
        0.629746,
        0.585011,
        0.58856,
        0.697994,
        0.626372,
        0.518675,
        0.628468,
        0.713961,
        0.625457,
        0.577881,
        0.54492,
        0.646635,
        0.616526,
        0.555288,
        0.541229,
        0.515985,
        0.565837,
        0.603045,
        0.524226,
        0.574048,
        0.670934,
        0.668875,
        0.639329,
        0.631705,
        0.598197,
        0.646113,
        0.691666,
        0.521252,
        0.559554,
        0.589478,
        0.587542,
        0.577981,
        0.592391,
        0.726012,
        0.620457,
        0.527936,
        0.58855,
        0.59977,
        0.5492,
        0.540614,
        0.541824,
        0.555941,
        0.540912,
        0.443968,
        0.630767,
        0.652361,
        0.580532,
        0.541257,
        0.659798,
        0.673135,
        0.616363,
        0.530822,
        0.63901,
        0.665108,
        0.623019,
        0.571582,
        0.587258,
        0.552023,
        0.558699,
        0.577514,
        0.62062,
        0.660515,
        0.668359,
        0.672773,
        0.676556,
        0.714695,
        0.632042,
        0.635777,
        0.640628,
        0.593647,
        0.729478,
        0.61047,
        0.628511,
        0.687032,
        0.678488,
        0.609673,
        0.551178,
        0.588331,
        0.578898,
        0.612184,
        0.557436,
        0.49928,
        0.595409,
        0.698207,
        0.527162,
        0.569486,
        0.606095,
        0.564114,
        0.647478,
        0.678772,
        0.7159,
        0.672938,
        0.672977,
        0.653058,
        1.54087,
        1.12067,
        0.924403,
        1.148,
        1.04624,
        1.04319,
        1.11258,
        0.975319,
        1.1028,
        1.1825,
        1.307,
        1.26475,
        1.10874,
        0.776434,
        0.847666,
        0.835702,
        0.762292,
        0.770434,
        0.867453,
        0.752377,
        0.676424,
        0.441547,
        0.495668,
        0.550063,
        0.380842,
        0.377825,
        0.605762,
        0.764578,
        0.675624,
        0.75754,
        0.544222,
        0.671261,
        0.703743,
        0.617076,
        0.770004,
        0.725219,
        0.772554,
        0.855114,
        0.700879,
        0.757624,
        0.671587,
        0.718405,
        0.713574,
        0.624789,
        0.660238,
        0.807803,
        0.713034,
        0.733908,
        0.772494,
        0.687919,
        0.711015,
        0.689476,
        0.60571,
        0.691924,
        0.632833,
        0.485652,
        0.607083,
        0.623466,
        0.700001,
        0.757806,
        0.649058,
        0.644432,
        0.635663,
        0.603041,
        0.582255,
        0.609038,
        0.585651,
        0.642775,
        0.574927,
        0.621851,
        0.588188,
        0.603794,
        0.583306,
        0.596181,
        0.570014,
        0.615133,
        0.565139,
        0.653142,
        0.610616,
        0.590932,
        0.649046,
        0.6184,
        0.594394,
        0.647493,
        0.572569,
        0.561072,
        0.602164,
        0.557002,
        0.555406,
        0.559029,
        0.619804,
        0.582243,
        0.552714,
        0.627246,
        0.613816,
        0.582755,
        0.564082,
        0.535152,
        0.573462,
        0.581213,
        0.590328,
        0.521129,
        0.560549,
        0.567169,
        0.602536,
        0.617259,
        0.542305,
        0.658205,
        0.600093,
        0.559391,
        0.600531,
        0.611922,
        0.581151,
        0.600895,
        0.572215,
        0.629542,
        0.563134,
        0.551521,
        0.601593,
        0.547456,
        0.616688,
        0.600085,
        0.530881,
        0.546988,
        0.563568,
        0.532974,
        0.575716,
        0.537372,
        0.462886,
        0.554249,
        0.636559,
        0.572228,
        0.584004,
        0.531087,
        0.622332,
        0.61327,
        0.587953,
        0.639926,
        0.606303,
        0.617444,
        0.624614,
        0.56533,
        0.526275,
        0.561996,
        0.599314,
        0.616552,
        0.570956,
        0.570018,
        0.554364,
        0.500362,
        0.524679,
        0.521828,
        0.585963,
        0.66117,
        0.566357,
        0.53444,
        0.535974,
        0.551264,
        0.621951,
        0.584343,
        0.552814,
        0.577778,
        0.612655,
        0.590131,
        0.587216,
        0.563413,
        0.53776,
        0.508978,
        0.556719,
        0.65089,
        0.60965,
        0.545158,
        0.508172,
        0.546565,
        0.618584,
        0.622407,
        0.604248,
        0.577098,
        0.565377,
        0.566239,
        0.613769,
        0.547672,
        0.57912,
        0.523732,
        0.623333,
        0.662791,
        0.590675,
        0.573608,
        0.667617,
        0.645061,
        0.58785,
        0.545714,
        0.646463,
        0.633267,
        0.639509,
        0.66549,
        0.65407,
        0.636494,
        0.554557,
        0.574066,
        0.558566,
        0.577633,
        0.510387,
        0.596482,
        0.594178,
        0.538415,
        0.591674,
        0.470708,
        0.580036,
        0.664851,
        0.675744,
        0.58912,
        0.540269,
        0.521292,
        0.639692,
        0.648345,
        0.608635,
        0.601629,
        0.55261,
        0.651227,
        0.531448,
        0.549186,
        0.590101,
        0.548216,
        0.485495,
        0.602528,
        0.692487,
        0.558185,
        0.470053,
        0.582002,
        0.620899,
        0.570007,
        0.445653,
        0.498736,
        0.581117,
        0.59171,
        0.648062,
        0.651149,
        0.587319,
        0.541824,
        0.562709,
        0.555733,
        0.492243,
        0.574891,
        0.616359,
        0.604597,
        0.604255,
        0.55208,
        0.640824,
        0.552018,
        0.587542,
        0.631979,
        0.633218,
        0.656127,
        0.610486,
        0.592705,
        0.586371,
        0.532621,
        0.657563,
        0.591392,
        0.640392,
        0.530959,
        0.568483,
        0.625302,
        0.572647,
        0.578476,
        0.543384,
        0.616272,
        0.619434,
        0.631862,
        0.621444,
        0.588132,
        0.577679,
        0.632094,
        0.621137,
        0.610491,
        0.664062,
        0.600376,
        0.568081,
        0.589363,
        0.634895,
        0.580738,
        0.527382,
        0.599692,
        0.549177,
        0.593612,
        0.685027,
        0.750791,
        0.68083,
        0.593466,
        0.636245,
        0.59921,
        0.592246,
        0.609274,
        0.681144,
        0.639509,
        0.629529,
        0.610286,
        0.632993,
        0.672931,
        0.616482,
        0.598639,
        0.627947,
        0.638333,
        0.641707,
        0.57237,
        0.632415,
        0.595125,
        0.641962,
        0.682973,
        0.58061,
        0.643641,
        0.703755,
        0.668141,
        0.620112,
        0.638117,
        0.658331,
        0.697697,
        0.719004,
        0.694284,
        0.67075,
        0.71923,
        0.677372,
        0.71302,
        0.71671,
        0.712911,
        0.707058,
        0.638372,
        0.692242,
        0.750689,
        0.708174,
        0.740218,
        0.641958,
        0.657568,
        0.671605,
        0.705803,
        0.727529,
        0.688422,
        0.781889,
        0.723149,
        0.728535,
        0.732373,
        0.847983,
        0.774322,
        0.753818,
        0.666952,
        0.641676,
        0.646683,
        0.697707,
        0.62928,
        0.560287,
        0.696148,
        0.624669,
        0.610382,
        0.590469,
        0.542582,
        0.624765,
        0.649164,
        0.552946,
        0.556068,
        0.512463,
        0.539079,
        0.725488,
        0.627994,
        0.509877,
        0.596257,
        0.57695,
        0.629145,
        0.644039,
        0.634359,
        0.609818,
        0.487245,
        0.512352,
        0.563868,
        0.628712,
        0.700823,
        0.851648,
        0.82355,
        0.600067,
        0.561105,
        0.487344,
        0.440566,
        0.531319,
        0.579868,
        0.752959,
        0.668595,
        0.558587,
        0.530774,
        0.623999,
        0.598174,
        0.638317,
        0.544739,
        0.670563,
        0.672299,
        0.560252,
        0.600339,
        0.611443,
        0.560928,
        0.601944,
        0.651727,
        0.689292,
        0.686757,
        0.635819,
        0.642928,
        0.657501,
        0.697763,
        0.611628,
        0.676971,
        0.694421,
        0.647335,
        0.661612,
        0.63462,
        0.647458,
        0.617733,
        0.665332,
        0.650039,
        0.575418,
        0.631558,
        0.674599,
        0.621877,
        0.522526,
        0.486678,
        0.596659,
        0.549155,
        0.504666,
        0.5043,
        0.518638,
        0.567116,
        0.516822,
        0.602664,
        0.597653,
        0.622494,
        0.592395,
        0.598378,
        0.623158,
        0.638225,
        0.622901,
        0.608779,
        0.577644,
        0.614241,
        0.634839,
        0.602005,
        0.602843,
        0.664735,
        0.667053,
        0.596963,
        0.596734,
        0.603238,
        0.60978,
        0.665004,
        0.569414,
        0.511331,
        0.553095,
        0.584997,
        0.66438,
        0.599309,
        0.588635,
        0.53815,
        0.598397,
        0.651989,
        0.652099,
        0.606911,
        0.592477,
        0.588623,
        0.573594,
        0.582463,
        0.594524,
        0.618364,
        0.598415,
        0.54741,
        0.588562,
        0.624252,
        0.619413,
        0.62079,
        0.619,
        0.62764,
        0.611158,
        0.610117,
        0.578435,
        0.633679,
        0.601237,
        0.621971,
        0.610782,
        0.59667,
        0.557058,
        0.521882,
        0.65389,
        0.628576,
        0.548835,
        0.551361,
        0.628643,
        0.568583,
        0.570155,
        0.639413,
        0.662504,
        0.602116,
        0.574318,
        0.591498,
        0.666871,
        0.614186,
        0.65133,
        0.713155,
        0.682613,
        0.576982,
        0.618551,
        0.632823,
        0.700209,
        0.650003,
        0.69165,
        0.697755,
        0.687662,
        0.683335,
        0.743879,
        0.750875,
        0.814919,
        0.844867,
        0.855386,
        0.875772,
        0.85236,
        0.907861,
        0.901997,
        0.962687,
        0.992209,
        0.974765,
        0.954084,
        0.904121,
        0.928499,
        0.953445,
        0.983381,
        1.0269,
        1.02533,
        1.03276,
        1.09288,
        1.06923,
        1.15805,
        1.15361,
        1.12939,
        1.05252,
        1.00714,
        0.994558,
        0.939328,
        0.88421,
        0.812349,
        0.756024,
        0.732151,
        0.709487,
        0.737385,
        0.738868,
        0.65316,
        0.661966,
        0.543562,
        0.610219,
        0.595511,
        0.616579,
        0.619671,
        0.694741,
        0.608705,
        0.608638,
        0.638318,
        0.708396,
        0.796479,
        0.794746,
        0.753808,
        0.779501,
        0.682093,
        0.780667,
        0.721163,
        0.77739,
        0.754095,
        0.687667,
        0.708134,
        0.706719,
        0.784104,
        0.699971,
        0.710111,
        0.768509,
        0.673721,
        0.625617,
        0.710915,
        0.639892,
        0.629632,
        0.696279,
        0.631538,
        0.695908,
        0.622976,
        0.613575,
        0.613842,
        0.651247,
        0.65202,
        0.658446,
        0.6194,
        0.616738,
        0.63384,
        0.658552,
        0.548306,
        0.56104,
        0.605007,
        0.67497,
        0.61834,
        0.539276,
        0.590756,
        0.570133,
        0.639164,
        0.58813,
        0.574242,
        0.611482,
        0.582881,
        0.585344,
        0.588033,
        0.661979,
        0.627494,
        0.606483,
        0.623779,
        0.601022,
        0.583795,
        0.56647,
        0.564682,
        0.50476,
        0.526208,
        0.582143,
        0.569084,
        0.578341,
        0.631209,
        0.546134,
        0.547905,
        0.593602,
        0.564591,
        0.585441,
        0.630388,
        0.65651,
        0.563048,
        0.5348,
        0.562272,
        0.543846,
        0.566979,
        0.552292,
        0.576159,
        0.595761,
        0.604453,
        0.564641,
        0.598451,
        0.627397,
        0.582041,
        0.631661,
        0.517285,
        0.588398,
        0.602116,
        0.599699,
        0.604304,
        0.65992,
        0.600044,
        0.56718,
        0.569717,
        0.63123,
        0.588456,
        0.546926,
        0.553882,
        0.584303,
        0.543278,
        0.584612,
        0.573349,
        0.560068,
        0.579152,
        0.556343,
        0.636129,
        0.58585,
        0.572393,
        0.621382,
        0.536414,
        0.562148,
        0.598785,
        0.547792,
        0.629483,
        0.572601,
        0.566655,
        0.580976,
        0.578666,
        0.587308,
        0.642258,
        0.610483,
        0.616654,
        0.60364,
        0.588871,
        0.568746,
        0.493706,
        0.532765,
        0.613258,
        0.591588,
        0.594941,
        0.580539,
        0.572903,
        0.566068,
        0.653897,
        0.5881,
        0.612669,
        0.570808,
        0.576834,
        0.544944,
        0.599738,
        0.60073,
        0.61891,
        0.602811,
        0.615627,
        0.557619,
        0.563819,
        0.648211,
        0.626811,
        0.595139,
        0.623073,
        0.595754,
        0.643289,
        0.606695,
        0.587672,
        0.588884,
        0.600804,
        0.567524,
        0.571034,
        0.563729,
        0.584922,
        0.603743,
        0.602433,
        0.638876,
        0.625669,
        0.588749,
        0.587071,
        0.568754,
        0.573072,
        0.590642,
        0.581285,
        0.577465,
        0.608766,
        0.563316,
        0.597841,
        0.521544,
        0.487274,
        0.62467,
        0.596598,
        0.490022,
        0.53782,
        0.589008,
        0.551314,
        0.534495,
        0.596402,
        0.515085,
        0.561777,
        0.523366,
        0.590485,
        0.60012,
        0.53482,
        0.529883,
        0.498729,
        0.520263,
        0.608301,
        0.653586,
        0.577272,
        0.567699,
        0.61739,
        0.592813,
        0.527421,
        0.589366,
        0.603606,
        0.64406,
        0.603087,
        0.555358,
        0.607044,
        0.577972,
        0.582955,
        0.607594,
        0.61801,
        0.61636,
        0.610435,
        0.630153,
        0.606191,
        0.567678,
        0.598964,
        0.610396,
        0.605097,
        0.539937,
        0.607037,
        0.605889,
        0.625171,
        0.635857,
        0.61518,
        0.633852,
        0.609312,
        0.634967,
        0.610382,
        0.631647,
        0.651221,
        0.659231,
        0.651114,
        0.723396,
        0.679403,
        0.571156,
        0.652582,
        0.694728,
        0.671738,
        0.586603,
        0.621864,
        0.600779,
        0.563973,
        0.690399,
        0.640469,
        0.658841,
        0.615797,
        0.655429,
        0.591804,
        0.627542,
        0.529519,
        0.566041,
        0.616332,
        0.626789,
        0.613195,
        0.562851,
        0.52325,
        0.627096,
        0.601298,
        0.646608,
        0.561814,
        0.62316,
        0.670863,
        0.697752,
        0.590781,
        0.559856,
        0.637384,
        0.716595,
        0.615914,
        0.57745,
        0.648105,
        0.560404,
        0.565139,
        0.606052,
        0.583252,
        0.620756,
        0.730757,
        0.697107,
        0.60328,
        0.638407,
        0.660161,
        0.68737,
        0.707031,
        0.680417,
        0.718595,
        0.714102,
        0.632436,
        0.70077,
        0.722618,
        0.598134,
        0.723447,
        0.615266,
        0.629348,
        0.591699,
        0.734745,
        0.701542,
        0.763946,
        0.683965,
        0.778554,
        0.699055,
        0.698665,
        0.683994,
        0.77868,
        0.676562,
        0.761248,
        0.719558,
        0.756884,
        0.66963,
        0.63167,
        0.619022,
        0.651955,
        0.675983,
        0.646919,
        0.578771,
        0.661064,
        0.634714,
        0.649494,
        0.635509,
        0.61722,
        0.608501,
        0.596977,
        0.585375,
        0.587265,
        0.636041,
        0.634807,
        0.62976,
        0.643337,
        0.644667,
        0.689843,
        0.701524,
        0.619506,
        0.704005,
        0.651141,
        0.650411,
        0.675144,
        0.699319,
        0.698711,
        0.645224,
        0.702873,
        0.643612,
        0.644769,
        0.656105,
        0.733371,
        0.640921,
        0.628075,
        0.65929,
        0.630132,
        0.61376,
        0.678107,
        0.668081,
        0.67774,
        0.74697,
        0.630324,
        0.649922,
        0.661825,
        0.645974,
        0.641432,
        0.619308,
        0.61154,
        0.597242,
        0.560678,
        0.559734,
        0.558219,
        0.614494,
        0.588863,
        0.497105,
        0.556281,
        0.591745,
        0.546489,
        0.59427,
        0.562564,
        0.572513,
        0.603804,
        0.603902,
        0.548293,
        0.573524,
        0.577699,
        0.573155,
        0.605611,
        0.574337,
        0.552874,
        0.530559,
        0.566689,
        0.566823,
        0.644184,
        0.594783,
        0.558373,
        0.620606,
        0.55765,
        0.621155,
        0.604874,
        0.569723,
        0.573336,
        0.635506,
        0.558383,
        0.632003,
        0.593394,
        0.583568,
        0.590676,
        0.566678,
        0.520786,
        0.563957,
        0.549398,
        0.64064,
        0.647255,
        0.601962,
        0.570197,
        0.610943,
        0.624656,
        0.607346,
        0.648085,
        0.577682,
        0.566506,
        0.49678,
        0.480164,
        0.549544,
        0.512218,
        0.619872,
        0.652062,
        0.533621,
        0.575812,
        0.570202,
        0.611659,
        0.536949,
        0.493375,
        0.498885,
        0.590623,
        0.583876,
        0.493937,
        0.546856,
        0.501161,
        0.604279,
        0.582351,
        0.589381,
        0.582525,
        0.53301,
        0.539103,
        0.617816,
        0.624452,
        0.615951,
        0.559492,
        0.54688,
        0.612053,
        0.622162,
        0.604171,
        0.568443,
        0.624033,
        0.644099,
        0.623786,
        0.588727,
        0.563838,
        0.611945,
        0.669477,
        0.618259,
        0.608088,
        0.619278,
        0.568462,
        0.618432,
        0.574625,
        0.531256,
        0.554701,
        0.543996,
        0.604355,
        0.547087,
        0.512204,
        0.556853,
        0.604073,
        0.596396,
        0.605825,
        0.561569,
        0.56485,
        0.623836,
        0.652381,
        0.572006,
        0.639568,
        0.557623,
        0.601602,
        0.568794,
        0.666618,
        0.597814,
        0.599863,
        0.605598,
        0.594099,
        0.565101,
        0.583817,
        0.544649,
        0.629821,
        0.644898,
        0.558067,
        0.535724,
        0.569652,
        0.619907,
        0.667084,
        0.654717,
        0.548028,
        0.654109,
        0.651181,
        0.695172,
        0.597428,
        0.60234,
        0.648842,
        0.614508,
        0.56328,
        0.676464,
        0.625616,
        0.663817,
        0.605586,
        0.550143,
        0.544497,
        0.565161,
        0.612968,
        0.590063,
        0.643767,
        0.650181,
        0.703981,
        0.627839,
        0.615205,
        0.635367,
        0.685798,
        0.729614,
        0.749715,
        0.683969,
        0.669519,
        0.70841,
        0.742011,
        0.781541,
        0.775508,
        0.770418,
        0.810859,
        0.825472,
        0.878541,
        0.902793,
        0.939544,
        0.890051,
        0.895493,
        0.935509,
        0.933098,
        1.05473,
        1.06807,
        1.0181,
        0.981963,
        0.951154,
        0.964105,
        0.955235,
        1.05514,
        1.08993,
        1.18805,
        1.09597,
        0.999025,
        1.02101,
        1.04685,
        0.934624,
        0.977992,
        0.913726,
        0.849865,
        0.827753,
        0.749079,
        0.761061,
        0.703253,
        0.690313,
        0.602765,
        0.561173,
        0.635087,
        0.614634,
        0.475538,
        0.571285,
        0.627036,
        0.653436,
        0.644445,
        0.606167,
        0.582895,
        0.666337,
        0.647018,
        0.694564,
        0.653759,
        0.729227,
        0.668096,
        0.69619,
        0.786424,
        0.730482,
        0.704362,
        0.685922,
        0.688004,
        0.787565,
        0.836541,
        0.716607,
        0.689821,
        0.576719,
        0.666715,
        0.639822,
        0.73743,
        0.751473,
        0.609699,
        0.720079,
        0.723345,
        0.696686,
        0.754889,
        0.767122,
        0.638798,
        0.575193,
        0.615466,
        0.54225,
        0.566526,
        0.587384,
        0.567258,
        0.624969,
        0.634725,
        0.651273,
        0.657931,
        0.602883,
        0.712563,
        0.590467,
        0.582873,
        0.513604,
        0.552326,
        0.685065,
        0.637325,
        0.640523,
        0.596615,
        0.606726,
        0.647013,
        0.588995,
        0.632975,
        0.620474,
        0.710227,
        0.653493,
        0.45822,
        0.53655,
        0.584424,
        0.570188,
        0.640861,
        0.624075,
        0.567823,
        0.553769,
        0.579598,
        0.510395,
        0.467483,
        0.481087,
        0.642968,
        0.559612,
        1.76325,
        1.14848,
        1.21094,
        1.0807,
        0.870884,
        0.730377,
        0.713771,
        0.687761,
        0.634033,
        0.699109,
        0.521079,
        0.673453,
        0.449416,
        0.555049,
        0.577483,
        0.65628,
        0.666642,
        0.686735,
        0.671643,
        0.699529,
        0.613979,
        0.466012,
        0.638071,
        0.714962,
        0.57913,
        0.521489,
        0.580069,
        0.468047,
        0.522172,
        0.575666,
        0.553171,
        0.627796,
        0.685546,
        0.705473,
        0.372212,
        0.587753,
        0.645956,
        0.505065,
        0.75255,
        0.65085,
        0.676224,
        0.512221,
        0.60251,
        0.654507,
        0.629044,
        0.576923,
        0.627862,
        0.519369,
        0.672637,
        0.492652,
        0.676389,
        0.481534,
        0.53524,
        0.717401,
        0.704641,
        0.694088,
        0.613793,
        0.570119,
        0.637625,
        0.66359,
        0.542533,
        0.503715,
        0.506693,
        0.576116,
        0.672779,
        0.728378,
        0.578006,
        0.616974,
        0.665806,
        0.66686,
        0.705117,
        0.513907,
        0.64555,
        0.580867,
        0.653769,
        0.587286,
        0.671552,
        0.621145,
        0.737636,
        0.593797,
        0.567847,
        0.595762,
        0.60638,
        0.635474,
        0.621536,
        0.553975,
        0.519199,
        0.583104,
        0.571962,
        0.520096,
        0.552925,
        0.553336,
        0.471652,
        0.562803,
        0.522156,
        0.638146,
        0.60856,
        0.538826,
        0.636151,
        0.662762,
        0.710515,
        0.801946,
        0.618031,
        0.6177,
        0.738915,
        0.662014,
        0.649505,
        0.746163,
        0.744209,
        0.662764,
        0.642887,
        0.64836,
        0.631693,
        0.639653,
        0.780701,
        0.712013,
        0.642365,
        0.687971,
        0.671177,
        0.732569,
        0.721559,
        0.724786,
        0.779278,
        0.785141,
        0.809007,
        0.712694,
        0.709197,
        0.758007,
        0.710446,
        0.663222,
        0.62853,
        0.713342,
        0.664891,
        0.734651,
        0.670669,
        0.590306,
        0.668325,
        0.613827,
        0.615553,
        0.72352,
        0.566849,
        0.661761,
        0.703875,
        0.602701,
        0.629558,
        0.607206,
        0.647956,
        0.706097,
        0.56017,
        0.662913,
        0.626271,
        0.565805,
        0.680883,
        0.630383,
        0.573172,
        0.587698,
        0.581435,
        0.56001,
        0.475022,
        0.544928,
        0.554025,
        0.634795,
        0.72112,
        0.519903,
        0.622431,
        0.561808,
        0.601648,
        0.63212,
        0.684335,
        0.724085,
        0.669383,
        0.667639,
        0.727608,
        0.596839,
        0.556217,
        0.54721,
        0.51045,
        0.592625,
        0.636511,
        0.541467,
        0.563815,
        0.543875,
        0.6181,
        0.609777,
        0.553691,
        0.56887,
        0.538375,
        0.616317,
        0.575343,
        0.599883,
        0.52483,
        0.562284,
        0.676459,
        0.631295,
        0.600014,
        0.588134,
        0.559222,
        0.590271,
        0.508838,
        0.63822,
        0.550323,
        0.589777,
        0.679988,
        0.623681,
        0.496549,
        0.582178,
        0.617431,
        0.626667,
        0.615027,
        0.54049,
        0.551503,
        0.500694,
        0.604452,
        0.620221,
        0.527799,
        0.63106,
        0.602285,
        0.604077,
        0.5526,
        0.537245,
        0.494558,
        0.692702,
        0.599418,
        0.650954,
        0.612803,
        0.692164,
        0.696721,
        0.626949,
        0.580849,
        0.639949,
        0.432327,
        0.652647,
        0.619249,
        0.596172,
        0.663311,
        0.579652,
        0.555267,
        0.470151,
        0.564207,
        0.655693,
        0.541065,
        0.646808,
        0.529562,
        0.661395,
        0.59181,
        0.616157,
        0.512523,
        0.570204,
        0.650751,
        0.601325,
        0.515441,
        0.577494,
        0.491333,
        0.459519,
        0.552096,
        0.581218,
        0.505145,
        0.514229,
        0.58306,
        0.481666,
        0.58286,
        0.596885,
        0.540163,
        0.583139,
        0.553926,
        0.552996,
        0.49516,
        0.542695,
        0.615845,
        0.621874,
        0.546017,
        0.610026,
        0.509275,
        0.650963,
        0.579863,
        0.55184,
        0.607797,
        0.599106,
        0.410996,
        0.460253,
        0.650664,
        0.569027,
        0.568802,
        0.601562,
        0.698423,
        0.663518,
        0.504743,
        0.663546,
        0.577948,
        0.577139,
        0.625918,
        0.585066,
        0.690678,
        0.636998,
        0.560973,
        0.643489,
        0.495473,
        0.554673,
        0.69022,
        0.583283,
        0.57362,
        0.600041,
        0.552761,
        0.5671,
        0.502021,
        0.484268,
        0.562083,
        0.544062,
        0.506112,
        0.509397,
        0.60344,
        0.50742,
        0.626805,
        0.540742,
        0.48418,
        0.515923,
        0.568681,
        0.600491,
        0.654274,
        0.540031,
        0.634264,
        0.58919,
        0.57759,
        0.643383,
        0.673235,
        0.685349,
        0.668317,
        0.589256,
        0.535327,
        0.525192,
        0.599171,
        0.466228,
        0.431802,
        0.670022,
        0.685436,
        0.531716,
        0.615213,
        0.495055,
        0.539242,
        0.644523,
        0.671597,
        0.529344,
        0.573015,
        0.687843,
        0.631558,
        0.609057,
        0.642192,
        0.508899,
        0.557654,
        0.585976,
        0.671637,
        0.596341,
        0.516673,
        0.537147,
        0.638428,
        0.561878,
        0.601357,
        0.655287,
        0.643028,
        0.533647,
        0.421791,
        0.69669,
        0.691192,
        0.56356,
        0.736204,
        0.552662,
        0.725439,
        0.548044,
        0.716921,
        0.589965,
        0.54919,
        0.694247,
        0.599167,
        0.507307,
        0.732379,
        0.651546,
        0.698779,
        0.581413,
        0.639738,
        0.723358,
        0.707228,
        0.674152,
        0.642878,
        0.610075,
        0.594557,
        0.575217,
        0.745244,
        1.06732,
        0.803937,
        1.00006,
        0.912518,
        0.590744,
        0.805688,
        0.721928,
        1.04861,
        1.0182,
        0.848597,
        1.11112,
        0.887827,
        1.00131,
        1.05064,
        1.11002,
        0.854044,
        0.932556,
        1.17137,
        0.866272,
        1.08439,
        null,
        0.757893,
        0.63248,
        0.582222,
        0.551317,
        0.643974,
        0.565637,
        0.600853,
        0.612765,
        0.529379,
        0.562922,
        0.586308,
        0.590632,
        0.580083,
        0.640274,
        0.668956,
        0.593867,
        0.61452,
        0.5669,
        0.531944,
        0.531946,
        0.597877,
        0.726259,
        0.624905,
        0.670408,
        0.632796,
        0.534188,
        0.481244,
        0.547002,
        0.597756,
        0.621276,
        0.584613,
        0.687343,
        0.582945,
        0.525954,
        0.698388,
        0.703303,
        0.68637,
        0.661306,
        0.526906,
        0.527483,
        0.580072,
        0.600608,
        0.506048,
        0.561405,
        0.693482,
        0.617869,
        0.534287,
        0.487274,
        0.524719,
        0.58033,
        0.62629,
        0.623216,
        0.60071,
        0.615259,
        0.561134,
        0.674835,
        0.623399,
        0.591323,
        0.489998,
        0.712521,
        0.492319,
        0.570339,
        0.638665,
        0.701023,
        0.706223,
        0.483293,
        0.669172,
        0.758934,
        0.642031,
        0.522671,
        0.647161,
        0.606125,
        0.488519,
        0.469947,
        0.532717,
        0.678113,
        0.563588,
        0.436776,
        0.512057,
        0.610648,
        0.569649,
        0.749621,
        0.474897,
        0.505682,
        0.691568,
        0.795069,
        0.607965,
        0.74855,
        0.546696,
        0.661458,
        0.499614,
        0.556394,
        0.57821,
        0.849565,
        0.679365,
        0.779035,
        0.818371,
        0.545993,
        0.550799,
        0.873092,
        0.809603,
        null,
        0.963449,
        1.06733,
        0.968755,
        0.929542,
        0.932432,
        0.909567,
        0.774662,
        0.708534,
        1.05966,
        0.883806,
        0.790583,
        0.803806,
        0.881062,
        0.764063,
        0.80747,
        0.691396,
        0.924491,
        0.921329,
        0.695727,
        0.806766,
        0.791827,
        1.19534,
        0.933546,
        0.982875,
        0.911037,
        null,
        1.0636,
        0.873403,
        0.728905,
        0.663724,
        0.970664,
        0.592836,
        0.610686,
        0.897677,
        0.86723,
        0.671728,
        0.643067,
        0.692273,
        0.780113,
        1.01454,
        0.802811,
        0.628668,
        0.640089,
        0.463436,
        0.525939,
        0.845784,
        0.554672,
        0.707398,
        0.815277,
        0.571124,
        0.482538,
        0.614112,
        0.659836,
        0.467688,
        0.792364,
        0.762704,
        0.667143,
        0.724513,
        0.41654,
        0.473207,
        0.686871,
        0.813323,
        0.540042,
        0.689881,
        0.583841,
        0.592997,
        0.609083,
        0.593323,
        0.645887,
        0.585275,
        0.500791,
        0.774899,
        0.472455,
        0.609011,
        0.844688,
        0.64693,
        0.656081,
        0.506273,
        0.764272,
        0.596563,
        0.536118,
        0.583416,
        0.638616,
        0.604199,
        0.459359,
        0.489578,
        0.566862,
        0.65048,
        0.559695,
        0.649643,
        0.593636,
        0.653566,
        0.600857,
        0.480702,
        0.516541,
        0.724807,
        0.597767,
        0.676402,
        0.57795,
        0.633182,
        0.641625,
        0.646033,
        0.695264,
        0.566749,
        0.63274,
        0.525996,
        0.66099,
        0.626439,
        0.650958,
        0.608724,
        0.574912,
        0.697148,
        0.582959,
        0.553118,
        0.716441,
        0.71034,
        0.657493,
        0.599376,
        0.663165,
        0.597825,
        0.560059,
        0.673956,
        0.630004,
        0.641177,
        0.520813,
        0.673486,
        0.555179,
        0.554298,
        0.613132,
        0.591068,
        0.454592,
        0.642998,
        0.661566,
        0.635831,
        0.716816,
        0.646306,
        0.531425,
        0.687857,
        0.572236,
        0.740645,
        0.679115,
        0.675229,
        0.649401,
        0.617647,
        0.677749,
        0.613829,
        0.706999,
        0.710113,
        0.624377,
        0.619024,
        0.595698,
        0.608977,
        0.684606,
        0.601801,
        0.573759,
        0.731696,
        0.690098,
        0.58529,
        0.769522,
        0.675373,
        0.570669,
        0.673133,
        0.616223,
        0.519745,
        0.622273,
        0.637041,
        0.702712,
        0.611608,
        0.623815,
        0.64019,
        0.672491,
        0.608441,
        0.641317,
        0.543079,
        0.694524,
        0.702752,
        0.60388,
        0.644608,
        0.631414,
        0.524498,
        0.535088,
        0.678857,
        0.606868,
        0.463654,
        0.556652,
        0.677121,
        0.648593,
        0.61559,
        0.594325,
        0.66245,
        0.555434,
        0.683177,
        0.624128,
        0.654282,
        0.628861,
        0.640814,
        0.697046,
        0.648731,
        0.666818,
        0.589533,
        0.527621,
        0.622109,
        0.594784,
        0.705336,
        0.687139,
        0.701497,
        0.665695,
        0.622841,
        0.658994,
        0.637359,
        0.632375,
        0.687946,
        0.688352,
        0.597222,
        0.5709,
        0.482358,
        0.492282,
        0.56083,
        0.609927,
        0.512283,
        0.562038,
        0.667323,
        0.510146,
        0.523105,
        0.653421,
        0.720925,
        0.622604,
        0.633129,
        0.604902,
        0.730014,
        0.7089,
        0.692309,
        0.589948,
        0.609168,
        0.607047,
        0.637887,
        0.606348,
        0.623601,
        0.5745,
        0.563901,
        0.648591,
        0.596736,
        0.592327,
        0.500059,
        0.638289,
        0.663519,
        0.591892,
        0.602135,
        0.572106,
        0.58428,
        0.552428,
        0.655232,
        0.594039,
        0.665365,
        0.566433,
        0.589131,
        0.526561,
        0.57443,
        0.604169,
        0.65769,
        0.61925,
        0.631483,
        0.571325,
        0.527454,
        0.620038,
        0.631291,
        0.565494,
        0.628685,
        0.689683,
        0.625407,
        0.644453,
        0.688534,
        0.605776,
        0.649591,
        0.579821,
        0.678849,
        0.684798,
        0.617479,
        0.650172,
        0.683327,
        0.765718,
        0.757239,
        0.675904,
        0.677115,
        0.725619,
        0.650149,
        0.686961,
        0.780617,
        0.691611,
        0.818367,
        0.870406,
        0.834212,
        0.76804,
        0.84678,
        0.805709,
        0.83142,
        0.81788,
        0.903639,
        0.896205,
        0.933229,
        1.02121,
        0.953803,
        0.886979,
        0.994611,
        0.976596,
        1.03126,
        1.09615,
        1.07185,
        1.03431,
        1.07815,
        1.00498,
        1.06245,
        1.02828,
        0.977856,
        1.09602,
        1.08526,
        0.99724,
        0.937218,
        0.864164,
        0.844583,
        0.798183,
        0.783128,
        0.651083,
        0.694267,
        0.50323,
        0.595684,
        0.629829,
        0.60304,
        0.610466,
        0.55605,
        0.63833,
        0.660099,
        0.646408,
        0.552067,
        0.710175,
        0.737709,
        0.686102,
        0.725891,
        0.723773,
        0.693852,
        0.805725,
        0.87765,
        0.871526,
        0.785832,
        0.888904,
        0.803014,
        0.824974,
        0.783635,
        0.766858,
        0.835412,
        0.721539,
        0.747923,
        0.792145,
        0.73133,
        0.710816,
        0.805518,
        0.723014,
        0.7316,
        0.75912,
        0.663841,
        0.704386,
        0.808216,
        0.768893,
        0.762406,
        0.752733,
        0.707793,
        0.618163,
        0.637215,
        0.743586,
        0.732935,
        0.628386,
        0.702747,
        0.665973,
        0.63991,
        0.636595,
        0.642093,
        0.709189,
        0.71255,
        0.642316,
        0.594448,
        0.659875,
        0.725809,
        0.73595,
        0.692733,
        0.689685,
        0.710824,
        0.631928,
        0.630628,
        0.725825,
        0.597153,
        0.657635,
        0.608562,
        0.594273,
        0.623809,
        0.57859,
        0.523563,
        0.615191,
        0.7193,
        0.742872,
        0.684378,
        0.726601,
        0.614066,
        0.656547,
        0.656479,
        0.743988,
        0.682519,
        0.581709,
        0.7221,
        0.683059,
        0.619356,
        0.62616,
        0.715244,
        0.637433,
        0.606785,
        0.601409,
        0.61743,
        0.582696,
        0.684259,
        0.679839,
        0.603013,
        0.571295,
        0.610332,
        0.66727,
        0.626967,
        0.574482,
        0.63912,
        0.695672,
        0.671805,
        0.626539,
        0.60693,
        0.637216,
        0.579362,
        0.6575,
        0.563886,
        0.614417,
        0.637198,
        0.628455,
        0.710162,
        0.638708,
        0.64209,
        0.655658,
        0.645476,
        0.686949,
        0.73546,
        0.706082,
        0.645952,
        0.618309,
        0.675769,
        0.641144,
        0.583311,
        0.669711,
        0.714097,
        0.695201,
        0.700019,
        0.690492,
        0.629955,
        0.63583,
        0.640459,
        0.651201,
        0.562357,
        0.551086,
        0.515527,
        0.569646,
        0.544872,
        0.51448,
        0.54485,
        0.5885,
        0.517267,
        0.640866,
        0.591779,
        0.603424,
        0.628856,
        0.646168,
        0.653345,
        0.564017,
        0.703035,
        0.655935,
        0.628853,
        0.646804,
        0.646895,
        0.697231,
        0.606347,
        0.71553,
        0.546985,
        0.596144,
        0.569256,
        0.551593,
        0.596385,
        0.636185,
        0.622257,
        0.693969,
        0.592626,
        0.615945,
        0.64897,
        0.534847,
        0.554628,
        0.584501,
        0.620156,
        0.654198,
        0.557455,
        0.639979,
        0.654921,
        0.595178,
        0.721587,
        0.683647,
        0.537815,
        0.620476,
        0.730132,
        0.739971,
        0.67507,
        0.727379,
        0.645469,
        0.608877,
        0.610641,
        0.611466,
        0.604103,
        0.551778,
        0.668686,
        0.713772,
        0.662538,
        0.624614,
        0.635188,
        0.646562,
        0.727985,
        0.736026,
        0.620288,
        0.713239,
        0.701104,
        0.712412,
        0.736454,
        0.641225,
        0.673718,
        0.664013,
        0.747292,
        0.742695,
        0.702545,
        0.700969,
        0.75675,
        0.658822,
        0.668092,
        0.715488,
        0.742889,
        0.713641,
        0.771542,
        0.739779,
        0.741136,
        0.702,
        0.667109,
        0.650764,
        0.697676,
        0.666221,
        0.589284,
        0.59953,
        0.6398,
        0.676122,
        0.701847,
        0.665991,
        0.635345,
        0.597179,
        0.580806,
        0.666937,
        0.579214,
        0.581914,
        0.643406,
        0.584554,
        0.593298,
        0.629118,
        0.691539,
        0.578953,
        0.553572,
        0.626967,
        0.612238,
        0.589232,
        0.52357,
        0.616427,
        0.696035,
        0.596757,
        0.633843,
        0.677513,
        0.666297,
        0.657778,
        0.677651,
        0.721466,
        0.720532,
        0.650022,
        0.647468,
        0.643493,
        0.653616,
        0.622951,
        0.606718,
        0.597023,
        0.595067,
        0.632952,
        0.656945,
        0.551818,
        0.574754,
        0.660757,
        0.642192,
        0.653758,
        0.605049,
        0.626267,
        0.625061,
        0.609654,
        0.567298,
        0.598985,
        0.631377,
        0.612734,
        0.613087,
        0.636588,
        0.579429,
        0.619685,
        0.602603,
        0.55359,
        0.645559,
        0.578719,
        0.662133,
        0.681195,
        0.586541,
        0.641437,
        0.654463,
        0.56487,
        0.620858,
        0.629811,
        0.674872,
        0.60552,
        0.578637,
        0.584279,
        0.598968,
        0.594589,
        0.65967,
        0.609358,
        0.612804,
        0.571589,
        0.550363,
        0.53655,
        0.568271,
        0.477607,
        0.575213,
        0.611797,
        0.54753,
        0.606581,
        0.620849,
        0.613842,
        0.593758,
        0.688166,
        0.572374,
        0.705016,
        0.694489,
        0.656933,
        0.642782,
        0.639969,
        0.685265,
        0.678509,
        0.623024,
        0.621138,
        0.664772,
        0.621878,
        0.620074,
        0.608058,
        0.572198,
        0.560918,
        0.651353,
        0.608315,
        0.613734,
        0.601298,
        0.707603,
        0.660652,
        0.622785,
        0.679525,
        0.548198,
        0.586228,
        0.523871,
        0.658036,
        0.695817,
        0.665266,
        0.525133,
        0.618099,
        0.66516,
        0.694174,
        0.647398,
        0.610947,
        0.597464,
        0.568087,
        0.661312,
        0.662549,
        0.677624,
        0.590447,
        0.580593,
        0.610675,
        0.658179,
        0.542869,
        0.531237,
        0.534143,
        0.622665,
        0.613263,
        0.631468,
        0.608707,
        0.64637,
        0.665632,
        0.65244,
        0.676451,
        0.581408,
        0.620716,
        0.625399,
        0.791464,
        0.680787,
        0.643514,
        0.523362,
        0.554991,
        0.57422,
        0.597424,
        0.66135,
        0.587023,
        0.64624,
        0.641001,
        0.664004,
        0.556287,
        0.627795,
        0.624422,
        0.6197,
        0.54661,
        0.542843,
        0.620971,
        0.664761,
        0.648346,
        0.669669,
        0.649741,
        0.592844,
        0.648257,
        0.658647,
        0.611527,
        0.59835,
        0.653408,
        0.599705,
        0.594588,
        0.671125,
        0.663337,
        0.656,
        0.706577,
        0.725205,
        0.621228,
        0.566973,
        0.544846,
        0.48157,
        0.58592,
        0.64581,
        0.644747,
        0.641039,
        0.563898,
        0.640755,
        0.662919,
        0.579049,
        0.583532,
        0.629583,
        0.607347,
        0.536921,
        0.668726,
        0.762889,
        0.692489,
        0.542326,
        0.541228,
        0.500048,
        0.585293,
        0.588786,
        0.712298,
        0.700285,
        0.648418,
        0.703202,
        0.620261,
        0.568278,
        0.574193,
        0.675419,
        0.580492,
        0.625557,
        0.639489,
        0.603185,
        0.774832,
        0.584887,
        0.535502,
        0.530811,
        0.627193,
        0.560607,
        0.665854,
        0.626759,
        0.680263,
        0.592348,
        0.644602,
        0.687291,
        0.625339,
        0.665082,
        0.653242,
        0.703075,
        0.575476,
        0.538632,
        0.691254,
        0.726889,
        0.591446,
        0.498628,
        0.625156,
        0.4467,
        0.667123,
        0.555186,
        0.688555,
        0.654159,
        0.611743,
        0.615138,
        0.574133,
        1.00691,
        0.738173,
        0.934177,
        0.982783,
        0.729966,
        0.798784,
        0.875539,
        0.644033,
        0.787136,
        0.776125,
        0.687516,
        0.575054,
        0.743957,
        0.764303,
        0.636372,
        0.681624,
        0.617923,
        0.911471,
        0.789056,
        0.663166,
        0.808446,
        0.84015,
        0.874542,
        0.793874,
        0.923192,
        0.96686,
        1.01733,
        0.898871,
        0.814342,
        0.939709,
        0.945174,
        0.866554,
        1.09092,
        1.13664,
        1.09352,
        1.00147,
        0.944646,
        1.04622,
        1.09545,
        1.02027,
        1.12052,
        1.20682,
        1.21138,
        0.954761,
        0.95162,
        1.05618,
        1.0074,
        0.986192,
        0.968037,
        0.843835,
        0.732948,
        0.622377,
        0.742979,
        0.697038,
        0.673518,
        0.660154,
        0.672063,
        0.595972,
        0.565646,
        0.611818,
        0.506344,
        0.481732,
        0.567785,
        0.723996,
        0.693292,
        0.672349,
        0.673084,
        0.666219,
        0.750449,
        0.655557,
        0.740714,
        0.792148,
        0.765352,
        0.668933,
        0.794948,
        0.808511,
        0.858709,
        0.749417,
        0.735371,
        0.766136,
        0.75839,
        0.699448,
        0.726089,
        0.76524,
        0.666826,
        0.691598,
        0.711151,
        0.827606,
        0.709474,
        0.744565,
        0.727952,
        0.625282,
        0.640006,
        0.638817,
        0.59376,
        0.664681,
        0.586912,
        0.559743,
        0.587344,
        0.651801,
        0.726154,
        0.654185,
        0.553515,
        0.667463,
        0.754967,
        0.708943,
        0.586933,
        0.600023,
        0.54507,
        0.620295,
        0.633431,
        0.70194,
        0.673085,
        0.61765,
        0.671574,
        0.606269,
        0.531679,
        0.680218,
        0.640244,
        0.785603,
        0.699603,
        0.718185,
        0.817072,
        0.649891,
        0.501988,
        0.61392,
        0.547982,
        0.661397,
        0.556309,
        0.703222,
        0.692854,
        0.545965,
        0.56528,
        0.721342,
        0.652083,
        0.651751,
        0.615327,
        0.679215,
        0.867499,
        1.34089,
        0.682064,
        0.730214,
        0.835412,
        0.566987,
        0.789643,
        0.581329,
        0.481843,
        0.579507,
        0.428294,
        0.597357,
        0.715614,
        0.649028,
        0.58085,
        0.706318,
        0.760138,
        0.695599,
        0.583912,
        0.721676,
        0.517325,
        0.493478,
        0.619563,
        0.55664,
        0.688039,
        0.647102,
        0.606876,
        0.661352,
        0.630602,
        0.585286,
        0.444767,
        0.853301,
        0.833345,
        0.63471,
        0.748312,
        0.646596,
        0.690996,
        0.535145,
        0.715602,
        0.687021,
        0.693115,
        0.733792,
        0.710334,
        0.781468,
        0.87505,
        0.825515,
        0.810235,
        0.800666,
        0.760917,
        0.755835,
        0.813001,
        0.793243,
        0.86166,
        0.80914,
        0.760505,
        0.757656,
        0.818573,
        0.561113,
        0.598627,
        0.569147,
        0.52139,
        0.583397,
        0.596112,
        0.736428,
        0.630655,
        0.513159,
        0.613538,
        0.746819,
        0.640496,
        0.601888,
        0.591288,
        0.672687,
        0.669996,
        0.639418,
        0.64871,
        0.632423,
        0.670646,
        0.65418,
        0.689688,
        0.836773,
        0.796516,
        0.663394,
        0.602795,
        0.638392,
        0.749824,
        0.652109,
        0.722706,
        0.707461,
        0.651756,
        0.66697,
        0.5765,
        0.64876,
        0.598018,
        0.617901,
        0.655067,
        0.69333,
        0.720694,
        0.583986,
        0.669302,
        0.583524,
        0.605746,
        0.656565,
        0.642775,
        0.804119,
        0.696061,
        0.648205,
        0.691461,
        0.592673,
        0.576072,
        0.600325,
        0.637908,
        0.649791,
        0.639261,
        0.548655,
        0.663034,
        0.639557,
        0.642661,
        0.548066,
        0.600316,
        0.621985,
        0.584313,
        0.751836,
        0.777718,
        0.687337,
        0.69344,
        0.708204,
        0.601688,
        0.640532,
        0.565009,
        0.614917,
        0.655288,
        0.64355,
        0.686599,
        0.644809,
        0.655211,
        0.638485,
        0.626129,
        0.611486,
        0.538681,
        0.638097,
        0.650042,
        0.704802,
        0.580025,
        0.669109,
        0.687803,
        0.638239,
        0.625355,
        0.570143,
        0.615079,
        0.650779,
        0.746222,
        0.558492,
        0.59056,
        0.582139,
        0.600278,
        0.54579,
        0.608447,
        0.588769,
        0.639325,
        0.57458,
        0.572356,
        0.628135,
        0.616257,
        0.654741,
        0.703228,
        0.554296,
        0.598835,
        0.670527,
        0.646896,
        0.511493,
        0.507344,
        0.543979,
        0.523744,
        0.628178,
        0.703744,
        0.695895,
        0.647056,
        0.607319,
        0.480587,
        0.531752,
        0.694519,
        0.683302,
        0.563874,
        0.531377,
        0.573264,
        0.545519,
        0.556562,
        0.676444,
        0.656871,
        0.602761,
        0.648522,
        0.553112,
        0.633843,
        0.668143,
        0.598585,
        0.642151,
        0.63131,
        0.635417,
        0.629688,
        0.569762,
        0.557115,
        0.642349,
        0.659773,
        0.674075,
        0.569817,
        0.556347,
        0.532784,
        0.536086,
        0.602328,
        0.519911,
        0.549011,
        0.569451,
        0.614564,
        0.590283,
        0.460354,
        0.587009,
        0.488894,
        0.518932,
        0.587438,
        0.620287,
        0.656973,
        0.586641,
        0.60742,
        0.579857,
        0.739558,
        0.675266,
        0.814185,
        0.792339,
        0.789721,
        0.601168,
        0.604614,
        0.652824,
        0.555227,
        0.469142,
        0.677132,
        0.589085,
        0.523328,
        0.534108,
        0.600056,
        0.634252,
        0.60525,
        0.537068,
        0.625917,
        0.712115,
        0.620382,
        0.648612,
        0.5681,
        0.605959,
        0.518519,
        0.601916,
        0.649976,
        0.586133,
        0.674642,
        0.698093,
        0.643729,
        0.628103,
        0.751336,
        0.626133,
        0.67634,
        0.601422,
        0.609604,
        0.622087,
        0.647203,
        0.602138,
        0.555802,
        0.508197,
        0.603658,
        0.524,
        0.549616,
        0.600442,
        0.492668,
        0.663504,
        0.573,
        0.539033,
        0.512156,
        0.581498,
        0.585221,
        0.608027,
        0.664156,
        0.709595,
        0.717675,
        0.655938,
        0.575533,
        0.641407,
        0.724732,
        0.598243,
        0.599842,
        0.586527,
        0.536942,
        0.59259,
        0.630174,
        0.62751,
        0.506706,
        0.701923,
        0.717218,
        0.615156,
        0.566251,
        0.511417,
        0.604881,
        0.555186,
        0.758703,
        0.66747,
        0.59494,
        0.644105,
        0.637936,
        0.613518,
        0.687619,
        0.659883,
        0.656764,
        0.717291,
        0.539328,
        0.562395,
        0.649972,
        0.56917,
        0.612981,
        0.636094,
        0.615019,
        0.66385,
        0.5137,
        0.560635,
        0.655227,
        0.622562,
        0.628248,
        0.585904,
        0.589646,
        0.644503,
        0.672409,
        0.781105,
        0.707407,
        0.666264,
        0.627753,
        0.643443,
        0.554239,
        0.640036,
        0.62596,
        0.617964,
        0.604871,
        0.630475,
        0.706311,
        0.660835,
        0.648628,
        0.6395,
        0.548913,
        0.555662,
        0.52315,
        0.617684,
        0.609795,
        0.694535,
        0.632148,
        0.682978,
        0.597436,
        0.607021,
        0.716507,
        0.633987,
        0.66084,
        0.487446,
        0.578196,
        0.620252,
        0.667622,
        0.670102,
        0.617996,
        0.53193,
        0.670081,
        0.758364,
        0.61752,
        0.716307,
        0.625946,
        0.620513,
        0.73604,
        0.575861,
        0.628111,
        0.667075,
        0.684308,
        0.71484,
        0.651566,
        0.511617,
        0.552393,
        0.651463,
        0.626702,
        0.616533,
        0.734522,
        0.586155,
        0.591604,
        0.679483,
        0.708629,
        0.65655,
        0.659499,
        0.628599,
        0.800376,
        0.69255,
        0.789119,
        0.648579,
        0.720957,
        0.488959,
        0.605273,
        0.680074,
        0.667781,
        0.78843,
        0.668189,
        0.647809,
        0.679879,
        0.63445,
        0.762505,
        0.669228,
        0.60388,
        0.762131,
        0.753201,
        0.641923,
        0.669785,
        0.542946,
        0.657229,
        0.549687,
        0.630219,
        0.707883,
        0.822071,
        0.882373,
        0.707916,
        0.642082,
        0.769396,
        0.700014,
        0.793012,
        0.874161,
        0.944913,
        0.812005,
        0.809682,
        0.835352,
        1.09655,
        0.926079,
        0.919544,
        0.980317,
        0.951679,
        0.909785,
        0.713703,
        0.871055,
        0.824268,
        0.898825,
        1.00909,
        1.0063,
        1.07679,
        1.14032,
        1.16307,
        1.11862,
        1.13951,
        0.934036,
        1.13757,
        1.13348,
        1.06282,
        0.966592,
        1.02306,
        0.991011,
        0.881615,
        0.770458,
        0.872909,
        0.737945,
        0.701983,
        0.763867,
        0.704811,
        0.584048,
        0.436348,
        0.510404,
        0.586163,
        0.656519,
        0.566918,
        0.693184,
        0.489697,
        0.53514,
        0.810203,
        0.732253,
        0.75642,
        0.643757,
        0.744397,
        0.759431,
        0.771556,
        0.812733,
        0.825984,
        0.631871,
        0.671721,
        0.745594,
        0.71469,
        0.607879,
        null,
        0.434908,
        0.438979,
        0.603859,
        0.508529,
        0.599606,
        0.680098,
        0.685337,
        0.747132,
        0.74415,
        0.715286,
        0.687761,
        0.659718,
        0.589087,
        0.747448,
        0.554015,
        0.72445,
        0.748856,
        0.734111,
        0.72681,
        0.736096,
        0.77463,
        0.829969,
        0.798535,
        0.773781,
        0.642192,
        0.755308,
        0.65322,
        0.666716,
        0.713033,
        0.679845,
        0.795432,
        0.688215,
        0.765552,
        0.760998,
        0.641645,
        0.640758,
        0.646857,
        0.604999,
        0.585963,
        0.633802,
        0.784495,
        0.677807,
        0.622724,
        0.692544,
        0.683825,
        0.730494,
        0.688865,
        0.682198,
        0.755335,
        0.686187,
        0.795612,
        0.737193,
        0.695478,
        0.742148,
        0.643001,
        0.618168,
        0.703346,
        0.800533,
        0.714987,
        0.474825,
        0.700452,
        0.716083,
        0.659138,
        0.656241,
        0.663316,
        0.628165,
        0.594294,
        0.634192,
        0.613113,
        0.64313,
        0.725169,
        0.724079,
        0.793694,
        0.671133,
        0.626125,
        0.664962,
        0.745127,
        0.75052,
        0.763438,
        0.659783,
        0.595972,
        0.584549,
        0.532509,
        0.772385,
        0.792077,
        0.739456,
        0.743049,
        0.574948,
        0.64338,
        0.60669,
        0.637908,
        0.594714,
        0.716461,
        0.681699,
        0.596474,
        0.841048,
        0.712075,
        0.676715,
        0.754938,
        0.755483,
        0.734132,
        0.569142,
        0.507759,
        0.640843,
        0.787875,
        0.821513,
        0.815334,
        0.571897,
        0.59806,
        0.740468,
        0.714294,
        0.699698,
        0.629445,
        0.687938,
        0.700053,
        0.703618,
        0.740662,
        0.73774,
        0.927937,
        0.819713,
        0.56902,
        0.762384,
        0.924605,
        0.713259,
        0.686221,
        0.621974,
        0.754027,
        0.839217,
        0.787198,
        0.558618,
        0.736684,
        0.676594,
        0.584666,
        0.627207,
        0.677254,
        0.589568,
        0.754653,
        0.640491,
        0.612004,
        0.635792,
        0.840004,
        0.901778,
        0.732693,
        0.583838,
        0.834953,
        0.859864,
        0.809673,
        0.668141,
        0.570251,
        0.599449,
        0.686963,
        0.701142,
        0.718863,
        0.822574,
        0.712282,
        0.759687,
        0.825496,
        0.73242,
        0.53001,
        0.577025,
        0.522103,
        0.511702,
        0.538025,
        0.627105,
        0.638464,
        0.735787,
        0.775441,
        0.824111,
        0.836877,
        0.583598,
        0.532694,
        0.478178,
        0.625648,
        0.531942,
        0.658627,
        0.751726,
        0.935634,
        0.860529,
        0.956259,
        0.80296,
        0.631607,
        0.838479,
        0.706101,
        0.710872,
        0.60853,
        0.7154,
        0.848196,
        0.793147,
        0.779379,
        1.13899,
        0.885387,
        null,
        0.947175,
        0.781087,
        0.924554,
        0.875567,
        0.678078,
        0.559852,
        0.739245,
        0.972635,
        0.89529,
        0.879538,
        0.720516,
        0.581867,
        0.662572,
        0.762279,
        0.720731,
        0.748695,
        0.9142,
        0.617931,
        0.451701,
        0.612621,
        0.617116,
        0.674968,
        0.569049,
        0.572688,
        0.739689,
        0.620623,
        0.502545,
        0.735605,
        0.725977,
        0.563802,
        0.769483,
        0.855292,
        0.782619,
        0.740934,
        0.635759,
        0.683965,
        0.611144,
        0.661502,
        0.705024,
        0.61044,
        0.61643,
        0.596068,
        0.658704,
        0.659578,
        0.642694,
        0.64714,
        0.585103,
        0.686468,
        0.645574,
        0.567873,
        0.507171,
        0.67919,
        0.632946,
        0.600156,
        0.681084,
        0.780651,
        0.742287,
        0.605613,
        0.71451,
        0.735255,
        0.653605,
        0.595759,
        0.752454,
        0.679632,
        0.687986,
        0.491753,
        0.705484,
        0.787382,
        0.542553,
        0.656937,
        0.644915,
        0.652408,
        0.766004,
        0.711553,
        0.630492,
        0.69376,
        0.797678,
        0.774443,
        0.842363,
        0.724453,
        0.577102,
        0.727141,
        0.636624,
        0.697177,
        0.703765,
        0.71455,
        0.713645,
        0.668706,
        0.718226,
        0.803871,
        0.8556,
        0.787934,
        0.765372,
        0.843536,
        0.791176,
        0.784218,
        0.743879,
        0.666978,
        0.828074,
        0.757013,
        0.729199,
        0.735376,
        0.635621,
        0.677399,
        0.677587,
        0.719656,
        0.813831,
        0.65255,
        0.634128,
        0.709104,
        0.746869,
        0.65496,
        0.717776,
        0.688593,
        0.628077,
        0.67027,
        0.720284,
        0.662682,
        0.658129,
        0.667247,
        0.789435,
        0.62564,
        0.750863,
        0.791453,
        0.787454,
        0.759733,
        0.767274,
        0.573474,
        0.744442,
        0.714817,
        0.678254,
        0.719187,
        0.725736,
        0.791055,
        0.66372,
        0.651469,
        0.685965,
        0.715741,
        0.641151,
        0.685789,
        0.698767,
        0.660591,
        0.580759,
        0.645176,
        0.532476,
        0.58492,
        0.636877,
        0.691496,
        0.671825,
        0.629608,
        0.649033,
        0.616437,
        0.765121,
        0.744694,
        0.764519,
        0.631735,
        0.597015,
        0.624754,
        0.60203,
        0.762918,
        0.483616,
        0.671536,
        0.667741,
        0.725549,
        0.723091,
        0.610393,
        0.739502,
        0.690945,
        0.636802,
        0.656503,
        0.744579,
        0.671566,
        0.64564,
        0.679453,
        0.629183,
        0.630449,
        0.62196,
        0.687482,
        0.727312,
        0.687713,
        0.779519,
        0.615551,
        0.681727,
        0.656532,
        0.615326,
        0.56482,
        0.689713,
        0.635042,
        0.662872,
        0.620985,
        0.676519,
        0.7315,
        0.699282,
        0.716504,
        0.618078,
        0.690628,
        0.602718,
        0.602188,
        0.573001,
        0.661507,
        0.743219,
        0.766057,
        0.663048,
        0.810031,
        0.702132,
        0.65168,
        0.605369,
        0.607525,
        0.655533,
        0.604838,
        0.605133,
        0.750426,
        0.696474,
        0.631125,
        0.662216,
        0.639156,
        0.634723,
        0.645064,
        0.678763,
        0.661798,
        0.598724,
        0.641406,
        0.720166,
        0.729815,
        0.672364,
        0.592262,
        0.634351,
        0.761691,
        0.792748,
        0.764018,
        0.72181,
        0.710962,
        0.594684,
        0.726262,
        0.731668,
        0.639196,
        0.719358,
        0.594649,
        0.76528,
        0.670184,
        0.613834,
        0.629047,
        0.610434,
        0.577802,
        0.722346,
        0.62889,
        0.626628,
        0.57371,
        0.69383,
        0.66186,
        0.610908,
        0.685483,
        0.668873,
        0.711089,
        0.610672,
        0.682644,
        0.758645,
        0.689793,
        0.658639,
        0.752994,
        0.721725,
        0.684311,
        0.644967,
        0.571631,
        0.529504,
        0.72475,
        0.630481,
        0.685978,
        0.698223,
        0.717526,
        0.645204,
        0.723992,
        0.710086,
        0.690474,
        0.637662,
        0.678955,
        0.672559,
        0.780687,
        0.632833,
        0.629668,
        0.643289,
        0.692043,
        0.650229,
        0.658355,
        0.833266,
        0.643497,
        0.694488,
        0.680068,
        0.692972,
        0.593442,
        0.492167,
        0.635079,
        0.592909,
        0.594605,
        0.632039,
        0.6037,
        0.686045,
        0.719845,
        0.629413,
        0.676853,
        0.642625,
        0.677577,
        0.689493,
        0.656926,
        0.636248,
        0.73567,
        0.660805,
        0.591024,
        0.675853,
        0.572709,
        0.57639,
        0.635208,
        0.636675,
        0.638605,
        0.707152,
        0.630573,
        0.607746,
        0.689405,
        0.689357,
        0.715159,
        0.664492,
        0.723313,
        0.607879,
        0.694857,
        0.657772,
        0.685648,
        0.576345,
        0.623142,
        0.704382,
        0.663795,
        0.623711,
        0.727642,
        0.678723,
        0.621566,
        0.613129,
        0.613414,
        0.721416,
        0.628459,
        0.648259,
        0.715824,
        0.694497,
        0.771256,
        0.75811,
        0.644495,
        0.726617,
        0.752719,
        0.642721,
        0.666994,
        0.761718,
        0.603315,
        0.76463,
        0.695249,
        0.66478,
        0.719236,
        0.682742,
        0.687667,
        0.842129,
        0.708219,
        0.568698,
        0.772674,
        0.675776,
        0.821083,
        0.826089,
        0.671721,
        0.775218,
        0.635036,
        0.650668,
        0.708664,
        0.693626,
        0.699597,
        0.690216,
        0.523826,
        0.606788,
        0.641884,
        0.752868,
        0.779223,
        0.652427,
        0.678819,
        0.631301,
        0.694508,
        0.833854,
        0.724588,
        0.767107,
        0.537922,
        0.664758,
        0.670129,
        0.67935,
        0.733008,
        0.682122,
        0.696526,
        0.681627,
        0.796761,
        0.703138,
        0.771212,
        0.629507,
        0.679157,
        0.681607,
        0.659253,
        0.746232,
        0.713829,
        0.706526,
        0.751585,
        0.649038,
        0.695812,
        0.661555,
        0.764813,
        0.612861,
        0.555431,
        0.709227,
        0.697463,
        0.702717,
        0.568335,
        0.851808,
        0.879826,
        0.70526,
        0.637472,
        0.724511,
        0.706604,
        0.609467,
        0.588789,
        0.537114,
        0.428905,
        0.626971,
        0.66551,
        0.458467,
        0.600674,
        0.744698,
        0.488438,
        0.55783,
        0.520307,
        0.534905,
        0.561392,
        0.555855,
        0.613267,
        0.588891,
        0.522601,
        0.635474,
        0.584649,
        0.679588,
        0.745529,
        0.743281,
        0.651831,
        0.651864,
        0.748322,
        0.731422,
        0.725569,
        0.73278,
        0.743867,
        0.734406,
        0.789253,
        0.582269,
        0.663595,
        0.568554,
        0.602949,
        0.750268,
        0.73241,
        0.532586,
        0.723901,
        0.809749,
        0.746608,
        0.57116,
        0.62654,
        0.47093,
        0.609806,
        0.647771,
        0.523432,
        0.55396,
        0.679605,
        0.671119,
        0.676084,
        0.663603,
        0.594263,
        0.686402,
        0.785736,
        0.748836,
        0.706433,
        0.674192,
        0.666648,
        0.733959,
        0.666662,
        0.592156,
        0.817278,
        0.968925,
        0.751853,
        0.680187,
        0.658249,
        0.694153,
        0.906685,
        0.833954,
        0.795238,
        0.825991,
        0.836751,
        0.965493,
        0.925512,
        0.828132,
        1.05164,
        0.865883,
        0.91047,
        1.09409,
        0.901058,
        0.926569,
        0.979574,
        1.04502,
        1.02733,
        0.993168,
        1.03764,
        1.23116,
        1.12818,
        1.18425,
        1.13207,
        1.1704,
        1.18715,
        1.08733,
        1.06212,
        1.06964,
        0.997084,
        0.786395,
        1.01211,
        0.783309,
        0.656868,
        0.734351,
        0.687593,
        0.64975,
        0.609924,
        0.656862,
        0.544194,
        0.657286,
        0.69758,
        0.780401,
        0.612681,
        0.509452,
        0.60118,
        0.727225,
        0.621133,
        0.584531,
        0.64005,
        0.743582,
        0.753024,
        0.835226,
        0.673163,
        0.717296,
        0.930988,
        0.768564,
        0.744356,
        0.755617,
        0.866868,
        0.794587,
        0.596102,
        0.539686,
        0.625016,
        0.673617,
        0.661611,
        0.835241,
        0.727327,
        0.581823,
        0.629312,
        0.884185,
        0.800205,
        0.591018,
        0.638181,
        0.70977,
        1.02817,
        0.812205,
        0.675534,
        0.999101,
        1.14214,
        0.817713,
        null,
        1.58098,
        1.13594,
        1.09402,
        0.91722,
        0.887488,
        0.886064,
        0.928405,
        1.09403,
        0.882698,
        0.988986,
        0.988782,
        0.889133,
        0.978759,
        0.667378,
        0.668446,
        0.678235,
        0.753435,
        0.791933,
        0.803108,
        0.772637,
        0.60477,
        0.643555,
        0.914348,
        0.611112,
        0.623613,
        0.610509,
        0.709027,
        0.731257,
        0.789578,
        0.616213,
        0.646363,
        0.582528,
        0.553081,
        0.715187,
        0.865605,
        0.780807,
        0.875801,
        0.579149,
        0.637948,
        0.604045,
        0.607698,
        0.672531,
        0.618161,
        0.931371,
        0.648284,
        0.860513,
        0.718161,
        0.545029,
        0.649813,
        0.679954,
        0.634893,
        0.564142,
        0.602366,
        0.723074,
        0.749498,
        0.802667,
        0.514891,
        0.676571,
        0.584608,
        0.825662,
        0.821317,
        0.713505,
        0.550967,
        0.628455,
        0.509609,
        0.538434,
        0.551238,
        0.626269,
        0.670193,
        0.660212,
        0.657651,
        0.634387,
        0.609352,
        0.744789,
        0.777707,
        0.614245,
        0.753986,
        0.740412,
        0.611858,
        0.640303,
        0.641155,
        0.693375,
        0.80648,
        0.776216,
        0.696557,
        0.692095,
        0.847306,
        0.73912,
        0.997094,
        0.654455,
        0.674108,
        0.739315,
        0.749774,
        0.712235,
        0.562066,
        0.767032,
        0.606343,
        0.614203,
        0.585011,
        0.610595,
        0.695568,
        0.774336,
        0.734339,
        0.732307,
        0.95441,
        0.896446,
        0.740794,
        0.531614,
        0.649276,
        0.811899,
        0.717683,
        0.559712,
        0.611541,
        0.60693,
        0.731796,
        0.586012,
        0.685085,
        1.02803,
        0.775999,
        0.815186,
        0.869077,
        0.611037,
        0.602671,
        0.831236,
        0.887031,
        0.644005,
        0.576999,
        0.572598,
        0.730909,
        0.806907,
        0.679073,
        0.885089,
        0.561962,
        0.828083,
        0.814616,
        0.723037,
        0.709662,
        0.553193,
        0.828658,
        0.956043,
        0.808723,
        0.829681,
        0.676855,
        0.939979,
        1.08387,
        0.954844,
        0.703947,
        1.01812,
        1.39765,
        1.02738,
        0.74157,
        1.16997,
        1.01679,
        0.931018,
        1.10827,
        0.777246,
        0.789602,
        1.24134,
        1.07478,
        0.911474,
        0.749191,
        0.902914,
        0.890903,
        1.24435,
        1.02172,
        1.19016,
        1.33216,
        1.10641,
        0.854233,
        0.918299,
        null,
        1.28748,
        0.976796,
        0.972034,
        0.966967,
        0.989037,
        0.858781,
        0.83125,
        0.882555,
        0.897162,
        0.821927,
        0.781194,
        0.921869,
        0.970954,
        0.987178,
        1.05144,
        0.952958,
        0.866665,
        0.714334,
        0.814161,
        0.83436,
        1.00511,
        0.887593,
        1.00666,
        0.854639,
        0.628777,
        0.60735,
        0.698908,
        0.504943,
        0.706147,
        0.615045,
        0.491828,
        0.622554,
        0.769567,
        0.814647,
        0.486472,
        0.761379,
        0.677584,
        0.831117,
        0.657876,
        0.712887,
        0.551088,
        0.72489,
        0.470278,
        0.567885,
        0.411236,
        0.503182,
        0.616519,
        0.597272,
        0.854977,
        0.640144,
        0.68396,
        0.567169,
        0.811814,
        0.652334,
        0.600589,
        0.465948,
        0.481679,
        0.626409,
        0.616303,
        0.515516,
        0.722812,
        0.619243,
        0.689497,
        0.622337,
        0.704666,
        0.600279,
        0.563685,
        0.805128,
        0.674024,
        0.648656,
        0.662585,
        0.749482,
        0.557518,
        0.621328,
        0.733442,
        0.993159,
        0.762026,
        0.822633,
        0.67741,
        0.556421,
        0.765974,
        0.634255,
        0.702539,
        0.632165,
        0.587874,
        0.444124,
        0.606722,
        0.512073,
        0.617478,
        0.845084,
        0.614126,
        0.742266,
        0.861796,
        0.700613,
        0.648167,
        0.660414,
        0.721286,
        0.717272,
        0.676488,
        0.924921,
        0.731883,
        0.582568,
        0.796629,
        0.64044,
        0.731735,
        0.561748,
        0.670063,
        0.733215,
        0.538534,
        0.730942,
        0.716796,
        0.791174,
        0.812238,
        0.604992,
        0.546773,
        0.562486,
        0.694743,
        0.705911,
        0.739353,
        0.509329,
        0.587685,
        0.723425,
        0.662512,
        0.718583,
        0.629325,
        0.601209,
        0.531364,
        0.710339,
        0.832633,
        0.697083,
        0.704389,
        0.656325,
        0.615216,
        0.619015,
        0.702092,
        0.673414,
        0.673942,
        0.764811,
        0.825172,
        0.563328,
        0.584202,
        0.508492,
        0.716036,
        0.555072,
        0.625494,
        0.736021,
        0.878072,
        0.622961,
        0.634273,
        0.75466,
        0.690928,
        0.591578,
        0.605161,
        0.882326,
        0.601748,
        0.671521,
        0.778789,
        0.735436,
        0.889289,
        0.733005,
        0.565496,
        0.578894,
        0.551133,
        0.769477,
        0.625628,
        0.738763,
        0.6895,
        0.777076,
        0.726219,
        0.941222,
        0.567475,
        0.633154,
        0.658665,
        0.51576,
        0.563451,
        0.581992,
        0.676841,
        0.582403,
        0.652381,
        0.686063,
        0.643064,
        0.652499,
        0.713623,
        0.687293,
        0.605447,
        0.619233,
        0.711983,
        0.677735,
        0.739744,
        0.690358,
        0.550731,
        0.743332,
        0.608966,
        0.66954,
        0.679889,
        0.776735,
        0.725525,
        0.683396,
        0.560055,
        0.603296,
        0.575022,
        0.624815,
        0.670147,
        0.578695,
        0.675074,
        0.583027,
        0.622061,
        0.690817,
        0.582181,
        0.513796,
        0.529142,
        0.625851,
        0.603088,
        0.599687,
        0.568386,
        0.442211,
        0.579896,
        0.544644,
        0.618795,
        0.768733,
        0.599777,
        0.346429,
        0.484808,
        0.634335,
        0.66717,
        0.73061,
        0.860956,
        0.730606,
        0.590707,
        0.748929,
        0.636306,
        0.780251,
        0.728134,
        0.705473,
        0.613558,
        0.737348,
        0.57005,
        0.744654,
        0.562261,
        0.692116,
        0.629357,
        0.431461,
        0.661711,
        0.505999,
        0.622664,
        0.695716,
        0.617459,
        0.421862,
        0.677996,
        0.819315,
        0.768002,
        0.73939,
        0.537018,
        0.570509,
        0.605753,
        0.632967,
        0.626362,
        0.656691,
        0.491577,
        0.684512,
        0.742804,
        0.718779,
        0.725539,
        0.734512,
        0.63799,
        0.667302,
        0.631402,
        0.743344,
        0.80432,
        0.624647,
        0.547092,
        0.716507,
        0.655957,
        0.530057,
        0.638991,
        0.932584,
        0.753087,
        0.611055,
        0.60742,
        0.774752,
        0.688862,
        0.637767,
        0.679721,
        0.533193,
        0.491499,
        0.604549,
        0.510379,
        0.688139,
        0.771172,
        0.498955,
        0.645356,
        0.733024,
        0.637246,
        0.638087,
        0.614899,
        0.80629,
        0.80042,
        0.704017,
        0.860519,
        0.732209,
        0.561288,
        0.638299,
        0.794373,
        0.700213,
        0.661775,
        0.603087,
        0.597493,
        0.612515,
        0.670414,
        0.760126,
        0.594156,
        0.679677,
        0.681461,
        0.519458,
        0.528561,
        0.645437,
        0.520694,
        0.631205,
        0.735524,
        0.679241,
        0.786989,
        0.573031,
        0.735024,
        0.692447,
        0.758167,
        0.667708,
        0.636586,
        0.648884,
        0.555733,
        0.596419,
        0.762962,
        0.573954,
        0.640836,
        0.630348,
        0.764972,
        0.576482,
        0.599214,
        0.82193,
        0.616173,
        0.586788,
        0.751608,
        0.726028,
        0.707506,
        0.567322,
        0.763166,
        0.785996,
        0.705398,
        0.685848,
        0.544675,
        0.487622,
        0.521516,
        0.738961,
        0.844007,
        0.749785,
        0.561132,
        0.578625,
        0.784589,
        0.664292,
        0.627315,
        0.688468,
        0.785781,
        1.28127,
        0.805346,
        0.781468,
        0.870879,
        null,
        0.554716,
        0.568392,
        0.758185,
        0.736478,
        0.691887,
        0.703238,
        0.66765,
        0.543592,
        0.603406,
        0.690613,
        0.748848,
        0.590617,
        0.608792,
        0.65137,
        0.729953,
        0.688417,
        0.768487,
        0.72525,
        0.654416,
        0.691719,
        0.718262,
        0.683134,
        0.619411,
        0.552919,
        0.681524,
        0.618902,
        0.694115,
        0.609801,
        0.557105,
        0.563536,
        0.647303,
        0.731131,
        0.597117,
        0.561864,
        0.519307,
        0.604793,
        0.679769,
        0.564394,
        0.579392,
        0.605882,
        0.452839,
        0.631721,
        0.681213,
        0.618473,
        0.523916,
        0.64249,
        0.625627,
        0.78068,
        0.684018,
        0.720012,
        0.529787,
        0.541264,
        0.662556,
        0.692243,
        0.54842,
        0.582021,
        0.67432,
        0.748206,
        0.645098,
        0.646231,
        0.618548,
        0.569045,
        0.602671,
        0.561335,
        0.652174,
        0.600827,
        0.710601,
        0.72658,
        0.728065,
        0.61241,
        0.562546,
        0.576076,
        0.69353,
        0.699965,
        0.536667,
        0.584605,
        0.536877,
        0.705749,
        0.686021,
        0.678595,
        0.656559,
        0.688492,
        0.73962,
        0.583707,
        0.678464,
        0.616101,
        0.580405,
        0.716859,
        0.620402,
        0.54204,
        0.665261,
        0.741153,
        0.501762,
        0.42463,
        0.48023,
        0.49173,
        0.728928,
        0.605445,
        0.787458,
        0.894936,
        0.606756,
        0.706446,
        0.671209,
        0.552591,
        0.520037,
        0.652838,
        0.664061,
        0.700004,
        0.59674,
        0.640794,
        0.586729,
        0.672127,
        0.673821,
        0.819434,
        0.756456,
        0.479698,
        0.675545,
        0.593537,
        0.527829,
        0.644755,
        0.610375,
        0.551933,
        0.602359,
        0.65868,
        0.657389,
        0.606998,
        0.611677,
        0.610186,
        0.58193,
        0.603468,
        0.667966,
        0.528353,
        0.606828,
        0.670129,
        0.646721,
        0.612319,
        0.544096,
        0.61085,
        0.623607,
        0.635705,
        0.681439,
        0.641444,
        0.608593,
        0.540845,
        0.526117,
        0.634527,
        0.698189,
        0.562426,
        0.628239,
        0.660515,
        0.688161,
        0.601215,
        0.647675,
        0.616573,
        0.575535,
        0.554095,
        0.552964,
        0.606323,
        0.541754,
        0.626974,
        0.540409,
        0.576674,
        0.610887,
        0.582255,
        0.653446,
        0.608114,
        0.664509,
        0.723165,
        0.779816,
        0.58604,
        0.662356,
        0.595928,
        0.644718,
        0.617253,
        0.686627,
        0.583074,
        0.520599,
        0.514146,
        0.690148,
        0.647866,
        0.563687,
        0.59648,
        0.58434,
        0.586061,
        0.657173,
        0.666074,
        0.654164,
        0.619696,
        0.641918,
        0.592439,
        0.688028,
        0.537326,
        0.616307,
        0.672461,
        0.706823,
        0.538024,
        0.595311,
        0.556412,
        0.565596,
        0.64416,
        0.612265,
        0.562399,
        0.470938,
        0.604959,
        0.692242,
        0.560804,
        0.716144,
        0.628584,
        0.693356,
        0.679728,
        0.655187,
        0.591586,
        0.627126,
        0.641313,
        0.56819,
        0.648017,
        0.665452,
        0.654808,
        0.737524,
        0.719968,
        0.746507,
        0.743849,
        0.666735,
        0.617643,
        0.613662,
        0.625819,
        0.623379,
        0.648406,
        0.729888,
        0.60323,
        0.684674,
        0.810886,
        0.714912,
        0.590826,
        0.644505,
        0.679315,
        0.654657,
        0.677905,
        0.656936,
        0.562339,
        0.64552,
        0.623751,
        0.77093,
        0.797697,
        0.772102,
        0.743909,
        0.775366,
        0.716469,
        0.715425,
        0.867723,
        0.936346,
        0.786414,
        0.787199,
        0.805358,
        0.835388,
        0.895447,
        0.855575,
        0.865744,
        0.913259,
        0.95322,
        0.966827,
        0.942838,
        0.981178,
        0.914152,
        0.907264,
        1.0147,
        0.992051,
        1.10047,
        1.09043,
        1.06304,
        0.975323,
        1.00261,
        0.970547,
        0.913887,
        0.929185,
        0.837056,
        0.766083,
        0.82239,
        0.740332,
        0.611208,
        0.606647,
        0.583168,
        0.661287,
        0.671778,
        0.627672,
        0.530474,
        0.593874,
        0.596581,
        0.59743,
        0.593303,
        0.735637,
        0.715928,
        0.651888,
        0.712064,
        0.620229,
        0.691027,
        0.800264,
        0.804412,
        0.848667,
        0.83983,
        0.793163,
        0.761887,
        0.82336,
        0.775059,
        0.822634,
        0.745582,
        0.75568,
        0.754701,
        0.657304,
        0.724663,
        0.752547,
        0.702354,
        0.713376,
        0.680635,
        0.720802,
        0.777487,
        0.748689,
        0.758151,
        0.723163,
        0.679369,
        0.61946,
        0.68219,
        0.682652,
        0.786187,
        0.599133,
        0.710398,
        0.742976,
        0.722705,
        0.87774,
        0.741375,
        0.642182,
        0.820457,
        0.664163,
        0.681828,
        0.782867,
        0.735716,
        0.762903,
        0.652754,
        0.81837,
        0.71725,
        0.70546,
        0.746658,
        0.807099,
        0.737194,
        0.852932,
        0.785306,
        0.801202,
        0.754907,
        0.654809,
        0.635395,
        0.780057,
        0.688291,
        0.740698,
        0.632859,
        0.589847,
        0.610979,
        0.665534,
        0.680843,
        0.731495,
        0.618169,
        0.621328,
        0.579155,
        0.652204,
        0.725673,
        0.662573,
        0.733124,
        0.706531,
        0.725111,
        0.637976,
        0.676687,
        0.733987,
        0.64684,
        0.697339,
        0.710478,
        0.611831,
        0.639386,
        0.758135,
        0.673024,
        0.642943,
        0.729935,
        0.72967,
        0.603302,
        0.656233,
        0.694033,
        0.690269,
        0.614261,
        0.640575,
        0.676356,
        0.619124,
        0.655687,
        0.651046,
        0.793805,
        0.628684,
        0.650245,
        0.654773,
        0.54829,
        0.620115,
        0.633214,
        0.56798,
        0.542596,
        0.678598,
        0.726828,
        0.674893,
        0.677049,
        0.563043,
        0.711478,
        0.619316,
        0.616983,
        0.595647,
        0.620604,
        0.637339,
        0.540492,
        0.531251,
        0.78023,
        0.67084,
        0.566562,
        0.635567,
        0.661045,
        0.666796,
        0.618312,
        0.667873,
        0.512766,
        0.696273,
        0.634721,
        0.635442,
        0.642991,
        0.680828,
        0.629199,
        0.587612,
        0.604677,
        0.640632,
        0.663675,
        0.636968,
        0.621179,
        0.731164,
        0.587103,
        0.554659,
        0.702732,
        0.661205,
        0.705767,
        0.727551,
        0.581061,
        0.593954,
        0.590434,
        0.630651,
        0.575441,
        0.633069,
        0.622912,
        0.542055,
        0.726795,
        0.563818,
        0.63436,
        0.727107,
        0.983339,
        0.779421,
        0.788229,
        0.595405,
        0.973743,
        0.590945,
        0.549793,
        0.608436,
        0.520985,
        0.684537,
        0.568634,
        0.727854,
        0.7119,
        0.663901,
        0.641319,
        0.701152,
        0.59254,
        0.599951,
        0.562235,
        0.484823,
        0.714107,
        0.629832,
        0.575692,
        0.631969,
        0.669811,
        0.638089,
        0.571416,
        0.533527,
        0.736595,
        0.645201,
        0.627009,
        0.64667,
        0.572882,
        0.572288,
        0.737009,
        0.73213,
        0.680347,
        0.643989,
        0.740541,
        0.65452,
        0.590423,
        0.645981,
        0.587829,
        0.601885,
        0.701374,
        0.618156,
        0.697004,
        0.574593,
        0.562734,
        0.538176,
        0.601179,
        0.636053,
        0.606356,
        0.734735,
        0.774385,
        0.72982,
        0.617295,
        0.592448,
        0.614278,
        0.726196,
        0.700952,
        0.640821,
        0.761235,
        0.608304,
        0.679885,
        0.727734,
        0.682728,
        0.634964,
        0.636461,
        0.704937,
        0.642851,
        0.781813,
        0.748876,
        0.711304,
        0.716598,
        0.709296,
        0.810936,
        0.705031,
        0.698101,
        0.685689,
        0.706858,
        0.68303,
        0.671912,
        0.722751,
        0.74761,
        0.716586,
        0.741008,
        0.572802,
        0.544719,
        0.689592,
        0.564054,
        0.650389,
        0.631251,
        0.69002,
        0.671274,
        0.652233,
        0.657165,
        0.76009,
        0.552202,
        0.527587,
        0.771343,
        0.664656,
        0.761547,
        0.735104,
        0.60343,
        0.689442,
        0.560952,
        0.59801,
        0.772625,
        0.707034,
        0.679799,
        0.676929,
        0.669205,
        0.595427,
        0.563718,
        0.591433,
        0.615458,
        0.618387,
        0.687134,
        0.790592,
        0.656098,
        0.758998,
        0.721463,
        0.750712,
        0.63168,
        0.685861,
        0.524462,
        0.679017,
        0.646875,
        0.587775,
        0.716594,
        0.526685,
        0.730722,
        0.893215,
        0.694618,
        0.849692,
        0.607187,
        0.840423,
        0.588523,
        0.596079,
        0.453689,
        0.563649,
        0.602707,
        0.637208,
        0.694499,
        0.840917,
        0.765797,
        0.65077,
        0.664903,
        0.646944,
        0.507602,
        0.486732,
        0.879486,
        0.708555,
        0.631189,
        0.738987,
        0.637836,
        0.663385,
        0.573195,
        0.685559,
        0.614344,
        0.655908,
        0.526678,
        0.575278,
        0.547123,
        0.550322,
        0.554212,
        0.617988,
        0.53605,
        0.629981,
        0.608903,
        0.68229,
        0.602634,
        0.540345,
        0.635846,
        0.744613,
        0.597967,
        0.648785,
        0.755665,
        0.722415,
        0.628221,
        0.71961,
        0.659483,
        0.734549,
        0.72486,
        0.673902,
        0.676063,
        0.617839,
        0.593673,
        0.64089,
        0.577328,
        0.734598,
        0.706697,
        0.660512,
        0.666373,
        0.675166,
        0.757243,
        0.687046,
        0.637135,
        0.646811,
        0.638474,
        0.45825,
        0.634917,
        0.687657,
        0.71087,
        0.716269,
        0.673872,
        0.629759,
        0.630685,
        0.653585,
        0.733375,
        0.608868,
        0.659761,
        0.731138,
        0.661673,
        0.667164,
        0.672855,
        0.600556,
        0.713365,
        0.745521,
        0.646715,
        0.616578,
        0.636912,
        0.588723,
        0.604745,
        0.502842,
        0.610046,
        0.601675,
        0.636098,
        0.619298,
        0.503579,
        0.565021,
        0.52834,
        0.62203,
        0.624475,
        0.649269,
        0.645594,
        0.513382,
        0.607516,
        0.663101,
        0.626477,
        0.722109,
        0.625017,
        0.70836,
        0.643666,
        0.594344,
        0.695194,
        0.659555,
        0.586202,
        0.612423,
        0.572741,
        0.593332,
        0.610834,
        0.572789,
        0.649955,
        0.540538,
        0.658779,
        0.562291,
        0.550191,
        0.734241,
        0.624542,
        0.616001,
        0.594452,
        0.647773,
        0.617731,
        0.556239,
        0.656984,
        0.653178,
        0.665169,
        0.626295,
        0.680316,
        0.625699,
        0.618969,
        0.580931,
        0.631231,
        0.615012,
        0.659089,
        0.615376,
        0.578009,
        0.677462,
        0.671281,
        0.646983,
        0.647948,
        0.605555,
        0.609787,
        0.576744,
        0.686059,
        0.589943,
        0.618382,
        0.56167,
        0.622697,
        0.619563,
        0.666894,
        0.636817,
        0.686036,
        0.622154,
        0.581159,
        0.62746,
        0.583865,
        0.669083,
        0.714328,
        0.626863,
        0.560248,
        0.695681,
        0.549896,
        0.634837,
        0.591032,
        0.613016,
        0.549517,
        0.592567,
        0.574843,
        0.69583,
        0.718094,
        0.713027,
        0.658953,
        0.698275,
        0.647965,
        0.622893,
        0.722992,
        0.713027,
        0.765686,
        0.636961,
        0.694237,
        0.768441,
        0.588112,
        0.630243,
        0.67788,
        0.598027,
        0.620509,
        0.699262,
        0.75243,
        0.762301,
        0.638136,
        0.647375,
        0.659758,
        0.59645,
        0.685834,
        0.732912,
        0.670164,
        0.708126,
        0.736113,
        0.573555,
        0.644815,
        0.684189,
        0.765871,
        0.725481,
        0.81493,
        0.911914,
        0.880367,
        0.954733,
        0.771447,
        0.917265,
        0.973646,
        0.828621,
        0.931769,
        0.975837,
        0.960539,
        0.933617,
        0.935672,
        0.881715,
        0.906271,
        0.865107,
        0.824991,
        1.05687,
        0.99799,
        1.01768,
        1.13012,
        0.986283,
        0.937742,
        0.979799,
        1.02503,
        0.988488,
        0.973634,
        1.02823,
        0.890604,
        0.786615,
        0.714158,
        0.694984,
        0.627907,
        0.572509,
        0.566068,
        0.589626,
        0.549903,
        0.658353,
        0.599769,
        0.533773,
        0.554861,
        0.643917,
        0.650503,
        0.791407,
        0.712447,
        0.832362,
        0.737846,
        0.640577,
        0.8777,
        0.797009,
        0.823276,
        0.833064,
        0.804736,
        0.903334,
        0.859445,
        0.825056,
        0.770824,
        0.816011,
        0.850206,
        0.847872,
        0.781701,
        0.784414,
        0.803776,
        0.789493,
        0.798675,
        0.797558,
        0.747463,
        0.743336,
        0.696371,
        0.755321,
        0.771847,
        0.758055,
        0.851352,
        0.83,
        0.763851,
        0.707172,
        0.779917,
        0.796486,
        0.900877,
        0.781661,
        0.730887,
        0.653455,
        0.602624,
        0.619986,
        0.617227,
        0.686299,
        0.757479,
        0.612919,
        0.622432,
        0.698247,
        0.670057,
        0.616533,
        0.567744,
        0.645915,
        0.717281,
        0.622941,
        0.614354,
        0.653205,
        0.772356,
        0.688387,
        0.607723,
        0.728169,
        0.765882,
        0.706432,
        0.691093,
        0.705209,
        0.652646,
        0.745621,
        0.634374,
        0.598188,
        0.669084,
        0.627494,
        0.658912,
        0.692829,
        0.704559,
        0.740214,
        0.731465,
        0.691005,
        0.597498,
        0.584119,
        0.67647,
        0.749484,
        0.687371,
        0.66112,
        0.615874,
        0.744605,
        0.608032,
        0.659465,
        0.663273,
        0.661072,
        0.705483,
        0.636467,
        0.725034,
        0.686816,
        0.673236,
        0.637423,
        0.735604,
        0.66447,
        0.540191,
        0.614596,
        0.657998,
        0.568991,
        0.606094,
        0.512698,
        0.52025,
        0.55534,
        0.659204,
        0.559696,
        0.680705,
        0.684329,
        0.72288,
        0.688559,
        0.655549,
        0.582517,
        0.70223,
        0.640177,
        0.693212,
        0.674856,
        0.701734,
        0.664473,
        0.597746,
        0.57006,
        0.577154,
        0.601207,
        0.566636,
        0.700912,
        0.65001,
        0.611944,
        0.531884,
        0.525146,
        0.635732,
        0.584437,
        0.554356,
        0.521153,
        0.662785,
        0.649064,
        0.641899,
        0.638376,
        0.560082,
        0.614407,
        0.602152,
        0.664289,
        0.69411,
        0.691483,
        0.560426,
        0.69905,
        0.588765,
        0.673105,
        0.74007,
        0.68041,
        0.671846,
        0.678405,
        0.692739,
        0.604511,
        0.672753,
        0.746983,
        0.598551,
        0.606276,
        0.572531,
        0.508465,
        0.659239,
        0.561543,
        0.565304,
        0.46315,
        0.581235,
        0.680137,
        0.571379,
        0.628378,
        0.640667,
        0.57588,
        0.639801,
        0.753852,
        0.676127,
        0.713695,
        0.666783,
        0.712974,
        0.721163,
        0.63258,
        0.638431,
        0.769153,
        0.721417,
        0.62251,
        0.531496,
        0.658062,
        0.809991,
        0.737304,
        0.700827,
        0.706446,
        0.578222,
        0.62085,
        0.677231,
        0.713477,
        0.619063,
        0.653667,
        0.552523,
        0.590422,
        0.665142,
        0.674852,
        0.720104,
        0.549559,
        0.644624,
        0.543234,
        0.544604,
        0.538316,
        0.588005,
        0.644483,
        0.610354,
        0.573532,
        0.612051,
        0.605413,
        0.559051,
        0.626661,
        0.589103,
        0.558837,
        0.664887,
        0.704309,
        0.655684,
        0.722244,
        0.591533,
        0.612209,
        0.576072,
        0.577401,
        0.729013,
        0.725948,
        0.701312,
        0.684706,
        0.642101,
        0.727752,
        0.746884,
        0.629028,
        0.554113,
        0.623868,
        0.661245,
        0.5943,
        0.609904,
        0.672528,
        0.679634,
        0.587049,
        0.619154,
        0.515089,
        0.584891,
        0.588298,
        0.722643,
        0.749164,
        0.647531,
        0.663472,
        0.590416,
        0.68186,
        0.684945,
        0.672425,
        0.671927,
        0.621314,
        0.644299,
        0.597888,
        0.581935,
        0.636663,
        0.652934,
        0.669957,
        0.648007,
        0.671579,
        0.735557,
        0.626852,
        0.59979,
        0.545119,
        0.604237,
        0.605575,
        0.573117,
        0.724162,
        0.804227,
        0.563449,
        0.606944,
        0.707371,
        0.620363,
        0.580472,
        0.626613,
        0.761929,
        0.610101,
        0.53921,
        0.636085,
        0.657301,
        0.624986,
        0.641349,
        0.600806,
        0.558109,
        0.646098,
        0.652921,
        0.672436,
        0.691126,
        0.570285,
        0.675384,
        0.627092,
        0.570211,
        0.61329,
        0.531158,
        0.584144,
        0.59113,
        0.640985,
        0.719606,
        0.679884,
        0.667872,
        0.653739,
        0.664447,
        0.647282,
        0.531964,
        0.592959,
        0.516705,
        0.524921,
        0.677235,
        0.755584,
        0.702597,
        0.641209,
        0.60852,
        0.592356,
        0.737278,
        0.672873,
        0.748556,
        0.710291,
        0.653183,
        0.563281,
        0.711838,
        0.692544,
        0.624599,
        0.633015,
        0.6304,
        0.617838,
        0.599237,
        0.622443,
        0.637037,
        0.649112,
        0.721529,
        0.717939,
        0.51844,
        0.592727,
        0.596937,
        0.590942,
        0.643975,
        0.687852,
        0.696842,
        0.593549,
        0.635481,
        0.702888,
        0.672088,
        0.602625,
        0.554605,
        0.583919,
        0.748257,
        0.592971,
        0.639003,
        0.738149,
        0.646987,
        0.63142,
        0.635074,
        0.679281,
        0.71556,
        0.666612,
        0.729015,
        0.69514,
        0.669047,
        0.618837,
        0.619799,
        0.626548,
        0.537839,
        0.614072,
        0.679687,
        0.651115,
        0.588304,
        0.515593,
        0.65396,
        0.669552,
        0.540432,
        0.585342,
        0.539366,
        0.578393,
        0.459855,
        0.547686,
        0.584939,
        0.676442,
        0.626722,
        0.598748,
        0.679784,
        0.632098,
        0.709486,
        0.649951,
        0.49886,
        0.591875,
        0.486826,
        0.562542,
        0.640761,
        0.623092,
        0.740658,
        0.780174,
        0.553664,
        0.640944,
        0.565477,
        0.575475,
        0.547898,
        0.70622,
        0.596405,
        0.620333,
        0.541095,
        0.627455,
        0.558553,
        0.688262,
        0.740558,
        0.648622,
        0.622588,
        0.564539,
        0.618214,
        0.619951,
        0.633843,
        0.65871,
        0.570602,
        0.588309,
        0.58279,
        0.532836,
        0.560774,
        0.636,
        0.81341,
        0.638324,
        0.600191,
        0.68143,
        0.740324,
        0.736648,
        0.748989,
        0.698311,
        0.689197,
        0.628633,
        0.701221,
        0.6807,
        0.513565,
        0.529157,
        0.555864,
        0.583435,
        0.556385,
        0.577652,
        0.635406,
        0.705412,
        0.752047,
        0.792199,
        0.585501,
        0.619022,
        0.451755,
        0.628294,
        0.707253,
        0.508491,
        0.503676,
        0.6195,
        0.571898,
        0.522838,
        0.549887,
        0.561125,
        0.617552,
        0.612576,
        0.675728,
        0.672505,
        0.54667,
        0.62601,
        0.774794,
        0.670636,
        0.581114,
        0.728822,
        0.713747,
        0.659677,
        0.711627,
        0.639982,
        0.358666,
        0.574191,
        0.742923,
        0.785018,
        0.685304,
        0.680642,
        0.678418,
        0.639718,
        0.56544,
        0.67252,
        0.67912,
        0.642976,
        0.714485,
        0.636712,
        0.569607,
        0.558989,
        0.638815,
        0.849368,
        0.557653,
        0.682491,
        0.661331,
        0.654547,
        0.652193,
        0.676462,
        0.908564,
        0.68881,
        0.674502,
        0.824906,
        0.727225,
        0.638229,
        0.644397,
        0.646794,
        0.612938,
        0.553636,
        0.639629,
        0.570376,
        0.631765,
        0.723983,
        0.72695,
        0.680393,
        0.521646,
        0.62901,
        0.72359,
        0.76515,
        0.619794,
        0.547754,
        0.54409,
        0.702148,
        0.794868,
        0.581704,
        0.622069,
        0.56905,
        0.64356,
        0.702907,
        0.562012,
        0.476919,
        0.569256,
        0.623875,
        0.694939,
        0.467239,
        0.738634,
        0.654008,
        0.654858,
        0.686276,
        0.504579,
        0.701775,
        0.750833,
        0.771071,
        0.661768,
        0.526756,
        0.720026,
        0.615094,
        0.539585,
        0.645766,
        0.756136,
        0.775771,
        0.624766,
        0.802665,
        0.601793,
        0.47668,
        0.775978,
        0.7859,
        0.631703,
        0.582884,
        0.597758,
        0.550759,
        0.711042,
        0.83598,
        0.552988,
        0.520631,
        0.72348,
        0.682082,
        0.560188,
        0.508239,
        0.59341,
        0.700964,
        0.780633,
        0.585114,
        0.693792,
        0.63324,
        0.60295,
        0.536816,
        0.693708,
        0.732271,
        0.414477,
        0.701671,
        0.752037,
        0.534199,
        0.737842,
        0.639233,
        0.428664,
        0.614489,
        0.525432,
        0.57185,
        0.79225,
        0.686234,
        0.701984,
        0.661744,
        0.69812,
        0.823173,
        0.662376,
        0.69597,
        0.698464,
        0.512282,
        0.721351,
        0.908072,
        0.921972,
        0.944237,
        0.828317,
        1.06904,
        0.784718,
        0.862925,
        0.825377,
        1.2225,
        0.881462,
        0.727232,
        0.836535,
        0.879583,
        0.886016,
        0.923075,
        0.888929,
        0.858995,
        0.794825,
        0.901921,
        0.980935,
        0.87741,
        0.858639,
        1.16001,
        0.973479,
        1.06165,
        1.04964,
        0.89348,
        1.02172,
        0.954394,
        0.838892,
        1.14848,
        1.10993,
        0.748706,
        0.826051,
        1.00012,
        0.788515,
        0.7874,
        0.76648,
        0.626009,
        0.643188,
        0.572302,
        0.582932,
        0.767817,
        0.652929,
        0.748017,
        0.84771,
        0.762505,
        0.52876,
        0.775719,
        0.881975,
        0.633515,
        0.614028,
        0.742297,
        0.855917,
        0.629412,
        0.694629,
        0.823384,
        1.09267,
        0.923933,
        1.07662,
        0.789382,
        0.895096,
        0.863284,
        0.848089,
        0.679185,
        0.809273,
        0.726025,
        0.773532,
        0.691235,
        0.669811,
        0.722479,
        0.907051,
        0.888041,
        0.971908,
        1.03269,
        0.95303,
        null,
        0.715581,
        0.845826,
        0.728947,
        0.650713,
        0.708013,
        0.822072,
        0.768404,
        0.749801,
        0.608085,
        0.629041,
        0.625904,
        0.627872,
        0.597841,
        0.672526,
        0.650946,
        0.769737,
        0.569417,
        0.87421,
        0.768193,
        0.661793,
        0.672039,
        0.748425,
        0.648073,
        0.636042,
        0.624241,
        0.471801,
        0.523646,
        0.607955,
        0.723493,
        0.603416,
        0.721145,
        0.594385,
        0.534172,
        0.539658,
        0.921385,
        0.77313,
        0.544012,
        0.662515,
        0.984961,
        0.710973,
        0.850597,
        0.907274,
        0.702491,
        0.648685,
        0.632825,
        0.741434,
        0.765489,
        0.728215,
        0.623154,
        0.624999,
        0.947477,
        0.813512,
        0.840165,
        0.868346,
        0.656739,
        0.644989,
        0.706007,
        0.802565,
        0.742476,
        null,
        1.26671,
        1.02897,
        0.906379,
        0.88677,
        0.806931,
        0.754618,
        0.872091,
        0.84805,
        0.725625,
        0.68391,
        0.646941,
        0.545704,
        0.528357,
        0.689744,
        0.689457,
        0.556305,
        0.592265,
        0.546799,
        0.792949,
        0.528215,
        0.581061,
        0.615733,
        0.554813,
        0.861698,
        0.55441,
        0.949408,
        0.720109,
        0.787673,
        0.800694,
        0.842085,
        0.781047,
        0.621768,
        0.695889,
        0.653983,
        0.580767,
        0.654814,
        0.523185,
        0.560126,
        0.738019,
        0.780299,
        0.703895,
        0.768016,
        0.918129,
        0.746504,
        0.690275,
        0.384703,
        0.70929,
        0.676047,
        0.73466,
        0.757973,
        0.620733,
        0.497617,
        0.632451,
        0.619446,
        0.569163,
        0.549941,
        0.649381,
        0.568567,
        0.745825,
        0.581796,
        0.599566,
        0.663999,
        0.685781,
        0.554199,
        0.704139,
        0.619181,
        0.829728,
        0.590895,
        0.736205,
        0.743877,
        0.827751,
        0.727246,
        0.569872,
        0.52997,
        0.654887,
        0.593122,
        0.617031,
        0.671066,
        0.850114,
        0.682911,
        0.575985,
        0.896003,
        0.74065,
        0.806025,
        0.734684,
        0.615907,
        0.546946,
        0.740141,
        0.695461,
        0.738221,
        0.607731,
        0.698812,
        0.706099,
        0.767424,
        0.702278,
        0.715482,
        0.749957,
        0.848056,
        0.581815,
        0.698467,
        0.702631,
        0.540948,
        0.621072,
        0.672664,
        0.719827,
        0.560752,
        0.617663,
        0.787562,
        0.807548,
        0.85081,
        0.689984,
        0.640787,
        0.546758,
        0.687816,
        0.670189,
        0.604541,
        0.677579,
        0.82397,
        0.647096,
        1.02491,
        0.881472,
        0.496727,
        0.447488,
        0.465003,
        0.613535,
        0.651479,
        0.73714,
        0.657491,
        0.56776,
        0.573488,
        0.483353,
        0.809793,
        0.832821,
        0.761303,
        0.85616,
        0.838988,
        0.847512,
        0.714226,
        0.682768,
        0.632519,
        0.568706,
        0.843325,
        0.896432,
        0.838289,
        0.765878,
        0.671467,
        0.710513,
        0.58168,
        0.743535,
        0.658499,
        0.546843,
        0.633311,
        0.777849,
        0.783788,
        0.639025,
        0.78863,
        0.786772,
        0.848655,
        0.744848,
        0.632032,
        0.752734,
        0.713628,
        0.764551,
        0.778511,
        0.748135,
        0.711116,
        0.764966,
        0.802761,
        0.714414,
        0.788539,
        0.73013,
        0.644741,
        0.680805,
        0.848971,
        0.815071,
        0.684247,
        0.856584,
        0.905126,
        0.765465,
        0.80207,
        0.775405,
        0.767909,
        0.933509,
        0.791813,
        0.862222,
        0.859119,
        0.899799,
        0.984613,
        0.846801,
        0.989258,
        0.947139,
        0.918036,
        0.9382,
        1.0174,
        0.985508,
        0.937851,
        0.95815,
        1.03413,
        0.912009,
        0.905602,
        1.18171,
        1.0747,
        0.95764,
        1.06618,
        1.1789,
        1.0647,
        1.00034,
        0.873059,
        0.785149,
        0.844045,
        0.893465,
        0.82762,
        0.676263,
        0.738827,
        0.607563,
        0.562319,
        0.49143,
        0.6264,
        0.715636,
        0.584006,
        0.488944,
        0.55742,
        0.608675,
        0.809537,
        0.733213,
        0.714296,
        0.936599,
        0.769175,
        0.654941,
        0.83571,
        0.85898,
        0.763986,
        0.926645,
        0.94541,
        0.806971,
        0.837883,
        0.913805,
        0.819907,
        0.893124,
        0.749743,
        0.758997,
        0.716555,
        0.843333,
        0.884653,
        0.825529,
        0.740884,
        0.796058,
        0.726083,
        0.731311,
        0.599775,
        0.808733,
        0.676947,
        0.73158,
        0.769365,
        0.679595,
        0.713808,
        0.738911,
        0.669644,
        0.629418,
        0.742872,
        0.837521,
        0.82249,
        0.584799,
        0.617764,
        0.639976,
        0.82713,
        0.760571,
        0.70714,
        0.739344,
        0.785889,
        0.835244,
        0.70948,
        0.721541,
        0.827509,
        0.750739,
        0.705874,
        0.683336,
        0.711391,
        0.697205,
        0.628892,
        0.594352,
        0.667836,
        0.740034,
        0.786717,
        0.886341,
        0.880984,
        0.689901,
        0.677983,
        0.740277,
        0.733398,
        0.73768,
        0.604685,
        0.729209,
        0.73367,
        0.699462,
        0.495667,
        0.54223,
        0.653455,
        0.62548,
        0.635026,
        0.822177,
        0.953664,
        0.807561,
        0.818695,
        0.898578,
        0.532278,
        0.598383,
        0.647071,
        0.812742,
        0.712735,
        0.561412,
        0.524882,
        0.494125,
        0.63029,
        0.750365,
        0.61198,
        0.729007,
        0.695625,
        0.679204,
        0.867595,
        0.863216,
        0.690137,
        1.08293,
        0.645049,
        0.616812,
        0.656226,
        0.564492,
        0.737204,
        0.656449,
        0.519491,
        0.65268,
        0.536973,
        0.722093,
        0.599954,
        0.693461,
        0.863358,
        0.96457,
        1.04771,
        1.41559,
        1.47874,
        0.993747,
        0.884603,
        0.919798,
        0.861841,
        0.945795,
        0.713304,
        0.980901,
        0.823453,
        0.710098,
        0.674668,
        0.787342,
        0.592878,
        0.810905,
        0.684457,
        0.763137,
        0.671421,
        0.764783,
        0.813592,
        0.578956,
        0.592402,
        0.698021,
        0.701371,
        0.764671,
        0.735665,
        0.62267,
        0.72576,
        0.849171,
        0.763855,
        0.797175,
        0.667362,
        0.741401,
        0.74253,
        0.77507,
        0.826632,
        0.728491,
        0.7662,
        0.72124,
        0.714006,
        0.676959,
        0.786415,
        0.845366,
        0.642798,
        0.850167,
        0.677026,
        0.638138,
        0.927763,
        0.66095,
        0.608205,
        0.649496,
        0.792893,
        0.768047,
        0.698853,
        0.789135,
        0.596981,
        0.848076,
        0.850613,
        1.53097,
        1.292,
        0.710464,
        0.623406,
        0.55918,
        0.754756,
        0.833364,
        0.679136,
        0.694653,
        0.761611,
        0.851695,
        0.781937,
        0.810366,
        0.770988,
        0.746317,
        0.915014,
        0.752217,
        0.747205,
        0.922992,
        0.747466,
        0.526343,
        0.697571,
        0.857117,
        0.482568,
        0.624346,
        0.508612,
        0.743336,
        0.69668,
        0.721975,
        0.612959,
        0.785063,
        0.824135,
        0.704096,
        0.62539,
        0.541041,
        0.61351,
        0.756809,
        0.512256,
        0.506146,
        0.768023,
        0.849242,
        0.749406,
        0.962622,
        1.02471,
        0.804162,
        0.774733,
        0.807799,
        0.827323,
        0.59666,
        0.700927,
        0.821488,
        0.735676,
        0.660489,
        0.781437,
        0.683282,
        0.797469,
        0.935944,
        0.930664,
        0.812218,
        0.785667,
        0.850353,
        0.71895,
        0.864468,
        0.664772,
        0.63386,
        0.717501,
        0.712673,
        0.730379,
        0.99773,
        0.708172,
        1.07038,
        0.720242,
        0.866087,
        0.73902,
        1.03255,
        0.910329,
        1.04437,
        0.822964,
        0.760269,
        1.13918,
        0.907063,
        0.997684,
        1.04127,
        1.48249,
        1.3386,
        null,
        1.25531,
        0.883358,
        0.758155,
        0.963098,
        0.717906,
        0.831411,
        0.917134,
        0.648302,
        0.631523,
        0.685013,
        0.675035,
        0.657023,
        0.713027,
        0.743081,
        0.804643,
        0.790708,
        0.552029,
        0.624532,
        0.765702,
        0.796222,
        0.850393,
        0.841686,
        0.97244,
        0.693482,
        0.820064,
        0.897478,
        0.671897,
        0.547213,
        0.609911,
        0.866568,
        0.814491,
        0.5337,
        0.761276,
        0.510534,
        0.706167,
        0.572071,
        0.838104,
        0.778202,
        0.837085,
        0.701241,
        0.846586,
        0.89643,
        0.750313,
        0.923129,
        0.933813,
        0.818487,
        0.987773,
        0.893152,
        0.561439,
        0.671045,
        0.853958,
        0.964244,
        0.92832,
        0.97619,
        0.806577,
        0.942342,
        0.873982,
        0.863206,
        0.902503,
        0.958811,
        0.803784,
        0.849384,
        0.731114,
        0.774426,
        0.752968,
        0.877141,
        0.705442,
        1.07607,
        0.793042,
        0.86491,
        0.796186,
        0.981703,
        1.16832,
        0.992818,
        1.06794,
        0.892213,
        0.819101,
        0.812796,
        0.891247,
        0.816637,
        0.94287,
        0.98577,
        0.898902,
        0.911001,
        1.11954,
        1.07563,
        0.928136,
        1.08135,
        0.974602,
        0.966126,
        0.874527,
        0.838078,
        0.906273,
        0.851241,
        0.573528,
        0.727858,
        0.691408,
        0.753126,
        0.623329,
        0.507134,
        0.574589,
        0.713861,
        0.645424,
        0.667,
        0.748839,
        0.812426,
        0.650706,
        0.619208,
        0.776071,
        0.847046,
        0.785805,
        0.695397,
        0.725141,
        0.709255,
        0.800039,
        0.869589,
        0.762539,
        0.772895,
        0.91489,
        0.738026,
        0.73365,
        0.693481,
        0.816924,
        0.732775,
        0.742502,
        0.739672,
        0.584186,
        0.629705,
        0.737584,
        0.702959,
        0.760716,
        0.910302,
        0.76138,
        0.691013,
        0.694883,
        0.697948,
        0.577042,
        0.824342,
        0.898106,
        0.852371,
        0.680975,
        0.626625,
        0.798284,
        0.76279,
        0.705305,
        0.777031,
        0.749356,
        0.716067,
        0.711261,
        0.749773,
        0.724871,
        0.85804,
        0.862499,
        0.770988,
        0.749463,
        0.592881,
        0.618456,
        0.674953,
        0.657033,
        0.790631,
        0.673458,
        0.740853,
        0.781353,
        0.688223,
        0.691801,
        0.763478,
        0.81564,
        0.693933,
        0.739543,
        0.645528,
        0.700517,
        0.904201,
        0.6776,
        0.638631,
        0.763242,
        0.781419,
        0.705585,
        0.678947,
        0.677674,
        0.689689,
        0.80903,
        0.576444,
        0.698083,
        0.71041,
        0.729942,
        0.640337,
        0.690389,
        0.724285,
        0.857148,
        0.689372,
        0.729823,
        0.693389,
        0.797331,
        0.668747,
        0.725485,
        0.812896,
        0.828698,
        0.753027,
        0.665008,
        0.717649,
        0.614958,
        0.755141,
        0.610574,
        0.699129,
        0.737258,
        0.786935,
        0.847748,
        0.771058,
        0.637078,
        0.697508,
        0.720502,
        0.687001,
        0.75209,
        0.870553,
        0.74886,
        0.578779,
        0.573799,
        0.68717,
        0.584717,
        0.57219,
        0.825756,
        0.836307,
        0.76212,
        0.721273,
        0.792129,
        0.7053,
        0.610677,
        0.674333,
        0.567718,
        0.691826,
        0.749062,
        0.774374,
        0.620633,
        0.653304,
        0.7181,
        0.886211,
        0.775627,
        0.626625,
        0.68651,
        0.681816,
        0.681159,
        0.721928,
        0.735667,
        0.721978,
        0.783664,
        0.752362,
        0.649845,
        0.573815,
        0.709887,
        0.60861,
        0.72784,
        0.636133,
        0.556579,
        0.559876,
        0.744727,
        0.799047,
        0.620259,
        0.605044,
        0.639146,
        0.711944,
        0.705887,
        0.886935,
        0.761372,
        0.675497,
        0.847727,
        0.749677,
        0.846917,
        0.848664,
        0.737449,
        0.710591,
        0.662059,
        0.768871,
        0.758596,
        0.794717,
        0.665657,
        0.673409,
        0.656229,
        0.686302,
        0.786119,
        0.737079,
        0.68125,
        0.619695,
        0.652579,
        0.680785,
        0.767365,
        0.718664,
        0.719505,
        0.756597,
        0.811048,
        0.822312,
        0.677352,
        0.917874,
        0.837735,
        0.668368,
        0.758201,
        0.762323,
        0.633705,
        0.690745,
        0.759588,
        0.534908,
        0.645097,
        0.760514,
        0.747421,
        0.688446,
        0.614803,
        0.736918,
        0.772364,
        0.804776,
        0.765262,
        0.620166,
        0.808566,
        0.764922,
        0.70138,
        0.683981,
        0.763019,
        0.655054,
        0.62463,
        0.697634,
        0.697454,
        0.611092,
        0.660179,
        0.667421,
        0.689055,
        0.647205,
        0.748369,
        0.749383,
        0.620983,
        0.684238,
        0.683798,
        0.803901,
        0.741165,
        0.624074,
        0.655328,
        0.724264,
        0.797556,
        0.73507,
        0.656586,
        0.724043,
        0.675932,
        0.551639,
        0.63535,
        0.580972,
        0.698225,
        0.725318,
        0.674242,
        0.713096,
        0.639324,
        0.716687,
        0.785224,
        0.822813,
        0.76972,
        0.806178,
        0.712503,
        0.745007,
        0.737858,
        0.671484,
        0.622378,
        0.688892,
        0.731034,
        0.677442,
        0.745857,
        0.640075,
        0.737351,
        0.821501,
        0.723907,
        0.716948,
        0.602992,
        0.675017,
        0.719307,
        0.596171,
        0.609251,
        0.6756,
        0.702229,
        0.642258,
        0.766551,
        0.73031,
        0.773586,
        0.738203,
        0.634173,
        0.673912,
        0.843184,
        0.629077,
        0.773872,
        0.80837,
        0.785673,
        0.707559,
        0.814435,
        0.822894,
        0.653341,
        0.608737,
        0.603842,
        0.744631,
        0.526285,
        0.751964,
        0.618993,
        0.534857,
        0.668981,
        0.889206,
        0.806089,
        0.812018,
        0.630552,
        0.784589,
        1.02722,
        0.944662,
        0.825677,
        0.704759,
        0.744067,
        0.866499,
        0.834516,
        0.651571,
        0.726614,
        0.868338,
        0.806831,
        0.663059,
        0.781216,
        0.701957,
        1.01399,
        0.921021,
        0.740371,
        0.764783,
        0.597731,
        0.861906,
        0.743465,
        0.634756,
        0.56882,
        0.672582,
        0.56192,
        0.668858,
        0.735763,
        0.75777,
        0.679804,
        0.739065,
        0.795493,
        0.481324,
        0.742993,
        0.955166,
        0.785945,
        0.600238,
        0.563087,
        0.768797,
        0.731756,
        0.695804,
        0.738649,
        0.817823,
        0.699691,
        0.568409,
        0.82634,
        0.941033,
        0.75109,
        0.717945,
        0.824813,
        0.742957,
        0.682094,
        0.793189,
        0.87938,
        1.01661,
        0.838127,
        0.815689,
        0.749743,
        0.734215,
        0.847826,
        0.684163,
        0.740828,
        0.725552,
        0.78881,
        0.747382,
        0.842394,
        0.766674,
        0.576948,
        0.721707,
        0.779211,
        0.761118,
        0.735478,
        0.737145,
        0.805789,
        0.921874,
        0.934655,
        0.715615,
        0.714459,
        0.618187,
        0.769341,
        0.822399,
        0.874627,
        0.842376,
        0.702501,
        0.724227,
        0.718497,
        0.721751,
        0.564375,
        0.486337,
        0.651582,
        0.782126,
        0.847089,
        0.580866,
        0.511461,
        0.872478,
        0.802454,
        0.8326,
        0.945331,
        0.989722,
        0.712948,
        0.587045,
        0.851433,
        0.782164,
        0.710608,
        0.776032,
        0.861189,
        0.811514,
        0.697886,
        0.731591,
        0.796407,
        0.993386,
        1.07775,
        0.79,
        0.671812,
        0.535547,
        0.637747,
        0.793021,
        1.00984,
        0.668858,
        0.845425,
        0.784452,
        0.910365,
        0.840312,
        0.818162,
        0.664557,
        0.759308,
        0.971116,
        0.911212,
        0.784449,
        0.780552,
        0.819053,
        0.861688,
        0.772127,
        0.727963,
        0.633684,
        0.752073,
        0.603098,
        0.77043,
        0.721012,
        0.674882,
        0.694374,
        0.675197,
        0.774582,
        0.723129,
        0.812784,
        0.85656,
        0.835041,
        0.753804,
        0.829548,
        0.717125,
        0.707445,
        0.852775,
        0.698836,
        0.813909,
        0.859091,
        0.924547,
        0.63505,
        0.768551,
        0.800976,
        0.761014,
        0.756187,
        0.539714,
        0.771169,
        0.819839,
        0.856915,
        0.618076,
        0.661531,
        0.894979,
        0.809261,
        1.04062,
        0.510589,
        0.668599,
        0.998808,
        0.980769,
        0.818786,
        0.931805,
        0.847125,
        0.686662,
        0.792762,
        0.695427,
        0.675124,
        0.849522,
        0.980491,
        0.976016,
        0.923154,
        0.682292,
        0.654037,
        0.536026,
        0.647479,
        0.705175,
        0.608767,
        0.706126,
        0.853392,
        0.673398,
        0.605496,
        0.918623,
        0.934065,
        0.906583,
        1.15689,
        0.979052,
        0.77445,
        0.744053,
        0.798753,
        0.946935,
        0.817811,
        0.846239,
        1.01078,
        0.957244,
        1.38703,
        1.06812,
        0.899169,
        0.961294,
        0.904309,
        1.05285,
        0.727361,
        1.01593,
        0.768335,
        0.610588,
        0.774593,
        0.725434,
        0.944803,
        0.847775,
        0.904221,
        0.773995,
        0.75864,
        0.717619,
        0.77023,
        1.0585,
        0.857883,
        0.827917,
        0.939259,
        0.781764,
        0.642679,
        1.08366,
        0.779726,
        1.10753,
        1.01431,
        0.825133,
        0.574618,
        0.581312,
        0.549764,
        0.660973,
        0.892048,
        0.940607,
        0.779646,
        0.600346,
        0.616398,
        1.15639,
        0.949978,
        0.639154,
        0.504123,
        0.803874,
        0.783599,
        1.07862,
        1.06413,
        0.917153,
        0.600449,
        0.551952,
        0.508037,
        1.00125,
        0.893884,
        0.807418,
        0.989182,
        1.03997,
        0.728089,
        0.776808,
        0.770953,
        0.948997,
        0.91287,
        0.835675,
        0.973509,
        0.947529,
        0.822617,
        0.701902,
        0.880463,
        0.809831,
        0.812025,
        0.762056,
        0.963367,
        0.879706,
        0.886483,
        0.994247,
        0.924839,
        1.04075,
        0.938844,
        0.873265,
        1.01219,
        0.861055,
        1.00272,
        0.981451,
        1.02146,
        0.798385,
        0.821055,
        0.611223,
        0.738081,
        0.774989,
        0.613068,
        0.639332,
        0.715609,
        0.76655,
        0.64698,
        0.702779,
        0.701638,
        0.720288,
        0.70911,
        0.623795,
        0.749501,
        0.795197,
        0.645966,
        0.988207,
        0.990954,
        0.749986,
        0.902447,
        1.01749,
        0.881859,
        0.983191,
        0.688957,
        0.981761,
        1.02931,
        0.749502,
        0.570533,
        0.780738,
        0.684227,
        0.908933,
        0.862969,
        0.809158,
        0.638381,
        0.599105,
        0.836045,
        1.09013,
        1.0524,
        0.88706,
        0.823922,
        0.668667,
        0.84323,
        1.13743,
        0.564622,
        0.815528,
        0.987869,
        0.802444,
        0.927533,
        0.808312,
        0.891777,
        0.993655,
        0.952423,
        0.648768,
        1.06897,
        0.963027,
        0.714472,
        0.648394,
        0.622548,
        0.78923,
        0.820229,
        1.05874,
        0.644659,
        0.643809,
        0.638126,
        0.870054,
        1.05776,
        1.01404,
        0.944098,
        0.612895,
        0.681159,
        0.700476,
        0.687172,
        0.662701,
        0.921707,
        0.825521,
        0.862695,
        1.04229,
        0.629552,
        0.705739,
        0.832846,
        0.693195,
        0.612602,
        0.728913,
        0.698672,
        0.662111,
        0.63414,
        0.701157,
        1.00564,
        0.739927,
        0.65153,
        0.669133,
        0.717964,
        0.83744,
        0.77756,
        0.962837,
        0.820463,
        0.843864,
        0.789009,
        0.746942,
        0.983972,
        0.771012,
        0.82344,
        0.809791,
        0.928432,
        0.902613,
        0.881625,
        0.92026,
        1.08846,
        1.03401,
        1.01567,
        0.877914,
        1.22709,
        1.00851,
        null,
        0.964647,
        0.916413,
        1.04227,
        1.10232,
        1.18333,
        1.06137,
        0.851786,
        0.968895,
        1.00007,
        0.822703,
        0.992017,
        0.752115,
        0.803172,
        0.940675,
        0.783416,
        0.925806,
        0.792244,
        0.766623,
        1.01945,
        0.898427,
        0.864621,
        0.907312,
        0.696181,
        0.718863,
        0.704099,
        0.873594,
        0.795314,
        1.00268,
        0.695694,
        0.741207,
        0.819575,
        0.816088,
        0.739878,
        0.762325,
        0.930509,
        0.82201,
        0.837441,
        1.1441,
        0.732503,
        0.759818,
        1.00384,
        0.758921,
        0.961773,
        0.79555,
        1.06226,
        0.941945,
        0.940942,
        0.925827,
        0.999054,
        0.681029,
        0.722593,
        0.954976,
        0.853076,
        0.767171,
        0.82998,
        0.828738,
        0.757936,
        0.623136,
        0.633874,
        0.697888,
        0.643946,
        0.787863,
        0.828341,
        1.03154,
        1.13542,
        1.03848,
        0.681331,
        0.693555,
        0.841948,
        0.92089,
        0.619878,
        0.889286,
        0.668288,
        0.901228,
        0.768864,
        0.664261,
        1.00037,
        0.926657,
        0.979941,
        0.818901,
        0.889004,
        0.846671,
        2.9702,
        1.18655,
        1.24765,
        0.802948,
        1.01014,
        0.932492,
        0.712043,
        0.871937,
        0.663707,
        0.674082,
        0.725979,
        0.807046,
        1.00975,
        0.819005,
        0.944912,
        1.00937,
        0.661992,
        0.758672,
        0.870575,
        0.84908,
        0.875317,
        0.709271,
        0.779779,
        0.858831,
        0.80518,
        1.16811,
        0.88514,
        0.951408,
        1.09102,
        0.821944,
        0.611629,
        0.878284,
        1.07401,
        0.856707,
        0.947924,
        1.13871,
        1.28437,
        1.12395,
        0.991759,
        0.691829,
        0.705927,
        0.691159,
        0.728983,
        0.601029,
        0.707714,
        0.92818,
        0.820737,
        0.505649,
        0.782544,
        0.933603,
        0.662051,
        0.663824,
        0.85223,
        0.601335,
        0.751353,
        0.905625,
        0.781723,
        0.547578,
        0.970615,
        0.640096,
        0.782084,
        0.727368,
        0.851743,
        0.827097,
        0.776013,
        0.698344,
        1.12733,
        0.871664,
        0.803909,
        0.632179,
        0.632541,
        0.650913,
        0.678095,
        0.728575,
        0.839385,
        0.598358,
        0.743726,
        0.842416,
        0.796038,
        0.799384,
        0.904167,
        0.779338,
        0.805576,
        0.85252,
        0.73679,
        0.703109,
        0.635308,
        1.00111,
        0.743229,
        0.984124,
        0.891185,
        0.563033,
        0.661769,
        0.768936,
        0.94947,
        0.771988,
        0.938515,
        0.799928,
        0.945107,
        0.818995,
        0.965427,
        0.840942,
        0.775285,
        0.955925,
        0.949121,
        0.848876,
        0.859426,
        0.859835,
        0.978373,
        0.758232,
        0.946473,
        0.785181,
        0.751204,
        0.937731,
        0.885585,
        0.864632,
        0.814435,
        0.678783,
        1.29757,
        1.25182,
        1.14925,
        0.712116,
        0.846401,
        0.677796,
        0.923211,
        1.12999,
        1.13041,
        0.883516,
        0.812134,
        0.837572,
        0.924838,
        0.874353,
        0.687283,
        0.681849,
        0.934314,
        0.856817,
        0.759359,
        0.796222,
        0.991445,
        1.01855,
        0.489011,
        0.875213,
        0.731279,
        0.810976,
        0.86578,
        0.913366,
        0.758582,
        0.572071,
        0.439765,
        0.490926,
        0.696219,
        0.775525,
        0.664064,
        0.834662,
        0.854568,
        0.852339,
        0.623251,
        0.612398,
        0.650473,
        0.563348,
        0.768553,
        0.643136,
        0.757329,
        0.663734,
        0.841943,
        0.779741,
        0.808115,
        0.711027,
        0.639278,
        0.513624,
        0.872197,
        0.781909,
        0.664349,
        0.779457,
        0.867117,
        0.906886,
        0.805678,
        0.602288,
        0.598209,
        0.800555,
        0.734297,
        0.750487,
        0.820296,
        0.875746,
        0.631697,
        0.738811,
        0.641716,
        0.718726,
        0.872953,
        0.914491,
        0.676868,
        0.745727,
        1.03297,
        0.768261,
        0.839174,
        0.800281,
        0.716718,
        0.694194,
        0.900319,
        0.838506,
        0.956716,
        1.44152,
        0.990481,
        0.969613,
        0.755059,
        0.627945,
        0.562628,
        0.962356,
        0.887261,
        0.903762,
        0.622303,
        0.812409,
        0.845632,
        0.841804,
        0.703671,
        0.62624,
        0.73611,
        0.610275,
        0.582595,
        1.00283,
        0.754376,
        0.647363,
        0.820041,
        0.85758,
        0.800644,
        0.773639,
        0.689518,
        0.73324,
        0.561923,
        0.593113,
        0.59984,
        0.444898,
        0.699406,
        0.79383,
        0.570675,
        0.565219,
        0.543854,
        0.504205,
        0.519614,
        0.581547,
        0.599708,
        0.53609,
        0.681123,
        0.759069,
        0.735566,
        0.628055,
        0.648863,
        0.734515,
        0.770164,
        0.820954,
        0.655948,
        0.775599,
        0.822519,
        0.694882,
        0.511557,
        0.709258,
        0.805592,
        0.846357,
        0.882204,
        0.870162,
        0.955463,
        0.593027,
        0.744454,
        0.711166,
        1.01363,
        0.638592,
        0.873238,
        0.757829,
        0.550696,
        0.648388,
        0.732247,
        0.837509,
        0.899035,
        0.804676,
        0.666721,
        0.563765,
        0.57055,
        0.517448,
        0.655631,
        0.929236,
        0.896809,
        0.709781,
        0.468227,
        0.741716,
        0.780805,
        0.834686,
        0.830501,
        0.674173,
        0.711888,
        0.817895,
        0.958715,
        0.630425,
        0.910384,
        0.7426,
        0.775293,
        1.07498,
        0.872256,
        0.727712,
        0.814004,
        0.620954,
        0.714679,
        0.617115,
        0.503385,
        0.817573,
        0.646519,
        0.710809,
        0.64518,
        0.820416,
        0.580894,
        0.855951,
        0.698439,
        0.838983,
        0.918409,
        0.907816,
        0.837004,
        0.785404,
        0.824177,
        0.781028,
        0.723806,
        0.680139,
        0.548977,
        0.606785,
        0.571433,
        0.584531,
        0.623222,
        0.780777,
        0.903659,
        0.871825,
        0.890389,
        0.758409,
        0.770382,
        0.744464,
        0.704781,
        0.804208,
        0.564784,
        0.681963,
        0.616978,
        0.609287,
        0.806512,
        0.718324,
        0.579408,
        0.808889,
        0.817299,
        0.621825,
        0.703532,
        0.683352,
        0.851714,
        0.72534,
        0.978684,
        0.84693,
        0.661419,
        0.645865,
        0.773546,
        0.56765,
        0.756243,
        0.823956,
        0.603347,
        0.665178,
        0.603301,
        0.729375,
        0.707457,
        0.773479,
        0.919701,
        0.842357,
        0.968745,
        0.66605,
        0.675008,
        0.72707,
        0.731565,
        0.7435,
        0.648229,
        0.753945,
        0.724078,
        0.617785,
        0.616857,
        0.746569,
        0.616929,
        0.643276,
        0.830065,
        0.570331,
        0.605944,
        0.675531,
        0.783023,
        0.834614,
        0.66555,
        0.604024,
        0.738933,
        0.697248,
        0.67436,
        0.822441,
        0.651897,
        0.752519,
        0.841753,
        0.764832,
        0.932386,
        0.809535,
        0.841469,
        0.747797,
        0.602598,
        0.811112,
        0.765218,
        0.70136,
        0.812231,
        0.916833,
        1.11099,
        0.861934,
        0.611601,
        0.868093,
        0.699245,
        0.673354,
        0.75773,
        0.612816,
        0.807748,
        0.660701,
        0.78881,
        0.692465,
        0.869885,
        0.660434,
        0.67001,
        0.611984,
        0.813967,
        0.646916,
        0.663466,
        0.612907,
        0.723393,
        0.629366,
        0.614834,
        0.751906,
        0.812303,
        0.692106,
        0.75596,
        0.705755,
        0.6941,
        0.65038,
        0.799103,
        0.860806,
        0.995659,
        0.864581,
        0.659032,
        0.917312,
        0.71681,
        0.853596,
        0.727754,
        0.46874,
        0.860338,
        0.889864,
        0.646904,
        0.872735,
        0.811043,
        0.804316,
        1.01359,
        0.820722,
        0.675456,
        0.843247,
        0.860312,
        0.674289,
        0.664551,
        0.755453,
        0.736997,
        0.65973,
        0.680209,
        0.753936,
        0.763519,
        0.607296,
        0.73923,
        0.732076,
        0.809519,
        0.790645,
        0.741989,
        0.930851,
        0.723589,
        0.642272,
        1.03357,
        0.708173,
        0.702769,
        0.719726,
        0.706242,
        0.763049,
        0.758549,
        0.677695,
        0.813334,
        0.789629,
        0.824353,
        0.808333,
        0.632127,
        0.780053,
        0.828235,
        0.8646,
        0.703032,
        0.756423,
        0.865105,
        0.732858,
        0.76852,
        0.505658,
        0.773165,
        0.901039,
        0.842189,
        0.705963,
        0.689928,
        0.660448,
        0.781316,
        0.847117,
        0.939957,
        0.858261,
        0.745827,
        0.517215,
        0.622356,
        0.856539,
        0.546166,
        0.652498,
        0.746207,
        0.676085,
        0.675898,
        0.636375,
        0.788416,
        0.557887,
        0.922306,
        0.654493,
        0.829036,
        0.628826,
        0.6604,
        0.526718,
        0.886882,
        0.94872,
        0.782488,
        1.04514,
        1.00378,
        0.566254,
        0.78573,
        0.644016,
        0.863409,
        0.651101,
        0.721053,
        0.674832,
        0.735496,
        0.897951,
        0.764217,
        0.908277,
        0.853075,
        0.789608,
        0.66436,
        0.716337,
        0.71334,
        0.893375,
        0.66411,
        0.6606,
        0.768181,
        0.632484,
        0.79955,
        0.632434,
        0.801399,
        0.87375,
        0.815302,
        0.673416,
        0.729502,
        0.704357,
        0.774779,
        0.722579,
        0.680648,
        0.717945,
        1.00955,
        0.76088,
        0.71137,
        1.05924,
        0.842325,
        0.835743,
        0.759256,
        0.672207,
        0.816172,
        0.716172,
        0.648914,
        0.618478,
        1.08647,
        0.975549,
        0.70297,
        0.691564,
        1.0362,
        1.21773,
        0.81647,
        0.744454,
        0.939391,
        0.723601,
        1.07028,
        1.03692,
        0.771891,
        1.13762,
        null,
        0.8848,
        1.09319,
        1.07618,
        0.985964,
        0.733643,
        0.79709,
        0.757801,
        0.671396,
        0.603514,
        0.909226,
        0.933207,
        0.987875,
        0.775271,
        0.855965,
        0.783929,
        0.760958,
        0.806271,
        0.684148,
        0.729168,
        0.916054,
        0.848327,
        0.920916,
        0.771986,
        0.748492,
        0.986997,
        0.841544,
        0.801968,
        0.800501,
        0.871418,
        0.692035,
        0.762721,
        0.823408,
        0.791105,
        0.970087,
        0.667775,
        0.715635,
        0.780705,
        0.768661,
        0.881091,
        0.780376,
        0.872312,
        0.888388,
        0.674764,
        0.755416,
        0.839722,
        0.719561,
        0.692672,
        0.516923,
        0.604209,
        0.612477,
        0.776932,
        0.700905,
        0.570801,
        0.679626,
        0.681866,
        0.820319,
        0.717283,
        0.739865,
        0.662804,
        0.653414,
        0.835778,
        0.501107,
        0.637715,
        0.771722,
        0.925492,
        0.758721,
        0.897241,
        0.863657,
        0.904668,
        0.786652,
        0.910937,
        0.958218,
        0.705385,
        0.706911,
        0.709625,
        0.838264,
        0.659766,
        0.583226,
        0.651902,
        0.753857,
        0.862086,
        0.878031,
        0.799033,
        0.782634,
        0.78652,
        0.826964,
        0.628088,
        0.662213,
        0.748418,
        0.72306,
        0.749278,
        0.651229,
        0.535496,
        0.73452,
        0.49013,
        0.514833,
        0.687187,
        0.751588,
        0.797252,
        0.628219,
        0.515649,
        0.725315,
        0.771291,
        0.887834,
        0.658436,
        0.889529,
        0.733547,
        0.692238,
        0.812889,
        1.06045,
        0.748304,
        0.727197,
        0.762029,
        0.53594,
        0.767649,
        0.960488,
        0.611077,
        0.681608,
        0.610359,
        0.542574,
        0.607384,
        0.633669,
        0.622227,
        0.824691,
        0.88411,
        0.867792,
        0.783951,
        0.808761,
        0.906363,
        0.894799,
        0.745035,
        0.708216,
        0.693757,
        0.831724,
        0.904697,
        0.677874,
        0.634837,
        0.757046,
        0.911899,
        0.914883,
        0.768051,
        0.573444,
        0.703746,
        0.546539,
        0.692485,
        0.747617,
        0.716587,
        0.805412,
        0.906704,
        0.831267,
        0.663106,
        0.561177,
        0.641653,
        0.904653,
        1.17949,
        0.92134,
        0.625807,
        0.665122,
        0.546022,
        0.648784,
        0.664759,
        0.734273,
        0.633239,
        0.662227,
        0.751458,
        0.743643,
        0.983016,
        0.683134,
        0.767563,
        0.578493,
        0.571481,
        0.74742,
        0.980886,
        0.787254,
        0.520516,
        0.555757,
        0.858351,
        0.662838,
        0.689654,
        0.71173,
        0.708374,
        0.785499,
        0.711514,
        0.71505,
        0.908337,
        0.742668,
        0.570543,
        0.543365,
        0.621731,
        0.588042,
        0.740601,
        0.632675,
        0.680369,
        0.841339,
        0.925968,
        0.835106,
        0.599527,
        0.679803,
        0.451726,
        0.544453,
        0.778001,
        0.865924,
        0.79577,
        0.682114,
        0.749849,
        0.846554,
        0.867054,
        0.716498,
        0.692185,
        0.548086,
        0.553566,
        0.931576,
        0.949425,
        0.675005,
        0.704253,
        0.592592,
        0.671184,
        0.760425,
        0.777888,
        0.759999,
        0.716159,
        0.666102,
        0.704139,
        0.544977,
        0.681992,
        0.655088,
        0.70827,
        0.497604,
        0.562122,
        0.691211,
        0.724288,
        0.715365,
        0.785359,
        0.843386,
        0.580607,
        0.676778,
        0.7724,
        0.892763,
        0.756517,
        0.700923,
        0.983802,
        0.651904,
        0.645392,
        0.779657,
        0.658604,
        0.854753,
        0.574358,
        0.751838,
        0.725662,
        0.606031,
        0.952945,
        0.788605,
        0.729778,
        0.818678,
        0.778812,
        0.793632,
        0.792337,
        0.936488,
        0.805056,
        0.650775,
        0.563358,
        0.601568,
        0.701618,
        0.663882,
        0.730549,
        0.64036,
        0.903326,
        0.861715,
        0.684286,
        0.781814,
        0.538523,
        0.784439,
        0.973316,
        0.723536,
        0.759421,
        0.797045,
        0.603693,
        0.765812,
        0.827997,
        0.699115,
        0.64028,
        0.506956,
        0.609008,
        0.547991,
        0.585016,
        0.740715,
        0.85007,
        0.843714,
        0.674761,
        0.575144,
        0.771099,
        0.495298,
        0.587491,
        0.863257,
        0.761924,
        0.489393,
        0.644503,
        0.686539,
        0.607496,
        0.778789,
        0.857515,
        0.72403,
        0.698662,
        0.796642,
        0.914489,
        0.824605,
        0.67554,
        0.799243,
        0.72268,
        0.798469,
        0.664539,
        0.572823,
        0.556897,
        0.78576,
        0.812239,
        0.904703,
        0.579791,
        0.562925,
        0.759971,
        0.780674,
        0.603695,
        0.698208,
        0.765647,
        0.79942,
        0.624258,
        0.863958,
        0.77679,
        0.53499,
        0.622834,
        0.764416,
        0.873732,
        0.678013,
        0.709229,
        0.713094,
        0.769232,
        0.737354,
        0.647625,
        0.690474,
        0.827295,
        0.632256,
        0.761569,
        0.633879,
        0.754083,
        0.903991,
        0.598836,
        0.74184,
        0.648732,
        0.790371,
        1.02544,
        0.858638,
        0.782865,
        0.697515,
        0.576952,
        0.529794,
        0.584421,
        0.796991,
        0.753304,
        0.651941,
        0.743178,
        0.672923,
        0.570953,
        0.647797,
        0.706143,
        0.803455,
        0.464954,
        0.714782,
        0.617844,
        0.716676,
        0.843139,
        0.929878,
        0.954329,
        0.894632,
        0.927547,
        0.608982,
        0.76779,
        0.810166,
        0.725634,
        0.812206,
        0.798573,
        0.702064,
        0.711211,
        0.746229,
        0.676677,
        0.750163,
        0.919519,
        0.693639,
        0.584198,
        0.706435,
        0.933742,
        1.05179,
        0.782566,
        0.724119,
        0.961894,
        0.71654,
        0.569727,
        0.586552,
        0.799666,
        0.904968,
        0.885903,
        0.623128,
        0.826465,
        0.915278,
        0.915033,
        0.967656,
        0.961906,
        0.867924,
        0.794229,
        0.932213,
        0.973934,
        0.867114,
        0.735008,
        0.72784,
        1.15746,
        0.897392,
        0.662419,
        0.756259,
        0.892895,
        1.00445,
        0.79261,
        0.887324,
        0.741081,
        0.930479,
        0.792573,
        0.892889,
        0.750368,
        0.886713,
        0.661968,
        0.895337,
        0.798886,
        0.964304,
        0.741847,
        0.729787,
        0.630306,
        0.814607,
        0.720381,
        0.745629,
        0.596802,
        0.846817,
        0.954294,
        0.924814,
        0.719945,
        0.601439,
        0.84431,
        0.942624,
        0.730049,
        0.802385,
        0.792574,
        0.801561,
        0.793508,
        0.850991,
        0.698463,
        0.846678,
        0.930802,
        0.675411,
        0.548322,
        0.629739,
        0.798373,
        0.923975,
        0.748042,
        0.794008,
        0.785198,
        0.750296,
        0.763102,
        0.737697,
        0.542868,
        0.6628,
        0.678264,
        0.890464,
        0.882115,
        1.12838,
        0.693526,
        0.705586,
        0.754142,
        1.06292,
        1.26741,
        1.08597,
        0.641721,
        1.05,
        0.647205,
        0.94788,
        1.07716,
        0.891165,
        0.568191,
        0.993422,
        0.761693,
        0.968049,
        0.884657,
        0.70212,
        0.592495,
        0.771368,
        0.987627,
        0.905313,
        0.776578,
        0.785786,
        0.938667,
        0.786285,
        0.75769,
        0.629101,
        0.793153,
        0.766909,
        0.725418,
        0.766713,
        0.700941,
        0.908665,
        1.032,
        0.982502,
        1.09605,
        0.822041,
        0.737669,
        1.20818,
        0.60318,
        0.798591,
        0.624437,
        0.623628,
        0.640887,
        0.886354,
        0.940796,
        0.709085,
        1.03204,
        1.1488,
        0.923942,
        0.911542,
        1.04404,
        0.986315,
        0.888742,
        0.959284,
        0.672505,
        0.852373,
        1.02352,
        0.960797,
        0.766677,
        0.71611,
        0.875173,
        0.834971,
        0.696061,
        0.825799,
        0.878335,
        0.946532,
        1.07748,
        1.22157,
        0.786281,
        0.860737,
        1.01186,
        0.90978,
        1.39873,
        1.0119,
        0.890647,
        0.855754,
        0.815983,
        0.732588,
        0.764616,
        0.867697,
        0.64498,
        0.78028,
        0.862793,
        0.879716,
        0.993878,
        0.751112,
        0.897406,
        0.711511,
        0.985407,
        0.84071,
        0.806772,
        0.877991,
        0.698997,
        0.670677,
        0.765019,
        0.814552,
        1.24299,
        0.725649,
        0.759686,
        0.718366,
        1.08837,
        0.812833,
        1.10483,
        0.869604,
        0.865637,
        0.827119,
        0.781542,
        0.864797,
        0.806529,
        0.944304,
        0.889533,
        0.934396,
        0.894422,
        0.756921,
        0.852578,
        0.891753,
        0.826414,
        0.971087,
        0.737997,
        0.830663,
        0.746042,
        1.01828,
        0.85197,
        0.979575,
        null,
        null,
        1.76492,
        1.62706,
        1.73937,
        1.77509,
        1.61136,
        2.10114,
        1.84698,
        1.39915,
        1.54249,
        1.5634,
        1.73988,
        1.60047,
        1.44159,
        1.20482,
        1.56116,
        1.32578,
        1.46784,
        1.4576,
        1.34554,
        1.45607,
        1.23002,
        1.32137,
        1.19626,
        1.77718,
        1.58187,
        1.35442,
        1.55739,
        1.49422,
        1.49251,
        1.47798,
        1.45726,
        1.29921,
        1.27862,
        1.21756,
        1.27488,
        1.45673,
        1.1656,
        1.58233,
        1.59798,
        1.38799,
        1.34976,
        1.6574,
        1.53973,
        1.5999,
        1.54618,
        1.60728,
        2.03483,
        1.86073,
        1.84533,
        1.61064,
        1.71297,
        1.5325,
        1.77921,
        2.43279,
        2.23992,
        2.46865,
        2.6041
    ],
    "flux_error": [
        0.218977,
        0.192057,
        0.174936,
        0.169986,
        0.170529,
        0.17172,
        0.17227,
        0.175125,
        0.180128,
        0.183789,
        0.32582,
        0.296829,
        0.279744,
        0.279819,
        0.269086,
        0.248684,
        0.24668,
        0.248332,
        0.247299,
        0.239611,
        0.229617,
        0.221632,
        0.218792,
        0.217861,
        0.235931,
        0.212849,
        0.20372,
        0.191463,
        0.191407,
        0.195739,
        0.204238,
        0.213794,
        0.31325,
        0.181794,
        0.171626,
        0.164945,
        0.149569,
        0.147463,
        0.146957,
        0.145532,
        0.14304,
        0.140361,
        0.137753,
        0.135558,
        0.134234,
        0.134229,
        0.134681,
        0.134978,
        0.134969,
        0.135528,
        0.138262,
        0.142285,
        0.14827,
        0.155143,
        0.162676,
        0.171827,
        0.182114,
        0.194713,
        0.210182,
        0.230018,
        0.238432,
        0.216863,
        0.173419,
        0.162956,
        0.150633,
        0.148273,
        0.14547,
        0.143535,
        0.14012,
        0.134747,
        0.12889,
        0.125604,
        0.123902,
        0.120149,
        0.135566,
        0.134426,
        0.114608,
        0.112679,
        0.111576,
        0.110553,
        0.111461,
        0.113038,
        0.11359,
        0.11474,
        0.116433,
        0.117347,
        0.121721,
        0.125911,
        0.130462,
        0.139643,
        0.180483,
        0.18096,
        0.184996,
        0.199448,
        0.186398,
        0.17485,
        0.163732,
        0.153704,
        0.153905,
        0.150898,
        0.140578,
        0.137452,
        0.139627,
        0.144174,
        0.161755,
        0.175961,
        0.185253,
        0.167901,
        0.162423,
        0.150471,
        0.138263,
        0.129867,
        0.124899,
        0.121161,
        0.119047,
        0.119127,
        0.119632,
        0.121098,
        0.124037,
        0.127788,
        0.128886,
        0.127942,
        0.126431,
        0.125137,
        0.125335,
        0.125234,
        0.125843,
        0.129681,
        0.133987,
        0.135981,
        0.139057,
        0.146781,
        0.156168,
        0.160807,
        0.172441,
        0.185516,
        0.195799,
        0.203635,
        0.21336,
        0.231314,
        0.250448,
        0.244333,
        0.17701,
        0.166237,
        0.157329,
        0.150897,
        0.144645,
        0.137056,
        0.131206,
        0.127041,
        0.124494,
        0.121691,
        0.119599,
        0.118161,
        0.116955,
        0.116281,
        0.115734,
        0.115106,
        0.115774,
        0.116632,
        0.115923,
        0.116296,
        0.116502,
        0.1145,
        0.112023,
        0.11144,
        0.112542,
        0.114639,
        0.117613,
        0.122513,
        0.126277,
        0.128399,
        0.129813,
        0.132145,
        0.135816,
        0.141523,
        0.147732,
        0.153378,
        0.174133,
        0.182411,
        0.188818,
        0.210139,
        0.234081,
        0.149495,
        0.140615,
        0.127553,
        0.122471,
        0.118125,
        0.113322,
        0.108572,
        0.105741,
        0.102915,
        0.100422,
        0.0983696,
        0.0964463,
        0.0952268,
        0.0930042,
        0.092105,
        0.0919045,
        0.0919635,
        0.0906955,
        0.0911929,
        0.0920841,
        0.0911586,
        0.0916702,
        0.0931565,
        0.0947889,
        0.0952098,
        0.0965718,
        0.0984552,
        0.100362,
        0.102424,
        0.103013,
        0.105725,
        0.108658,
        0.110884,
        0.113584,
        0.116395,
        0.119013,
        0.126113,
        0.133363,
        0.140025,
        0.149242,
        0.289804,
        0.266039,
        0.184261,
        0.17073,
        0.159645,
        0.147929,
        0.139153,
        0.131868,
        0.126922,
        0.123397,
        0.119085,
        0.114487,
        0.110893,
        0.107524,
        0.105558,
        0.104982,
        0.103458,
        0.101974,
        0.100688,
        0.101287,
        0.103151,
        0.103924,
        0.105832,
        0.103888,
        0.105283,
        0.105038,
        0.102459,
        0.100842,
        0.100405,
        0.100245,
        0.102127,
        0.105917,
        0.110382,
        0.115941,
        0.125439,
        0.127915,
        0.132596,
        0.138969,
        0.150624,
        0.255929,
        0.232619,
        0.194262,
        0.192781,
        0.196867,
        0.205952,
        0.269964,
        0.244411,
        0.245876,
        0.254898,
        0.287655,
        0.238518,
        0.195706,
        0.171002,
        0.155934,
        0.145022,
        0.139547,
        0.136936,
        0.134939,
        0.13571,
        0.135027,
        0.135144,
        0.137199,
        0.139938,
        0.143259,
        0.15014,
        0.163072,
        0.184066,
        0.207243,
        0.176723,
        0.154782,
        0.142532,
        0.133608,
        0.126449,
        0.122179,
        0.119985,
        0.118859,
        0.118426,
        0.119099,
        0.121564,
        0.12486,
        0.126855,
        0.131703,
        0.153773,
        0.201981,
        0.300845,
        0.172617,
        0.163872,
        0.157096,
        0.144358,
        0.139811,
        0.135552,
        0.13278,
        0.130294,
        0.130926,
        0.130377,
        0.131116,
        0.132802,
        0.136046,
        0.140946,
        0.149892,
        0.156912,
        0.13951,
        0.12631,
        0.131736,
        0.126227,
        0.115341,
        0.114008,
        0.112239,
        0.112441,
        0.115673,
        0.117465,
        0.120444,
        0.120562,
        0.11945,
        0.117276,
        0.116657,
        0.117373,
        0.120062,
        0.124841,
        0.131375,
        0.137345,
        0.154052,
        0.164783,
        0.17308,
        0.260794,
        0.203982,
        0.199098,
        0.200983,
        0.215973,
        0.237198,
        0.203005,
        0.172803,
        0.138092,
        0.12074,
        0.110016,
        0.106074,
        0.105353,
        0.101813,
        0.0935462,
        0.0912222,
        0.0903127,
        0.0911931,
        0.0916567,
        0.092951,
        0.0936416,
        0.0955876,
        0.0988718,
        0.100239,
        0.09931,
        0.0980464,
        0.0959339,
        0.0933574,
        0.0905652,
        0.0886071,
        0.0918897,
        0.0870278,
        0.0867193,
        0.0871843,
        0.0868627,
        0.0885387,
        0.0912107,
        0.0929368,
        0.0954954,
        0.0998645,
        0.104063,
        0.115627,
        0.11748,
        0.12209,
        0.12875,
        0.135267,
        0.140888,
        0.147098,
        0.157297,
        0.195315,
        0.227086,
        0.613569,
        0.439349,
        0.264517,
        0.224685,
        0.191558,
        0.166476,
        0.153555,
        0.141275,
        0.132133,
        0.124206,
        0.11529,
        0.108016,
        0.103714,
        0.101581,
        0.0985645,
        0.0958671,
        0.0941449,
        0.093314,
        0.0926154,
        0.0933452,
        0.0956004,
        0.105906,
        0.105308,
        0.0990646,
        0.0987313,
        0.0989515,
        0.112581,
        0.120876,
        0.118311,
        0.130843,
        0.151784,
        0.187299,
        0.425647,
        0.229502,
        0.197832,
        0.163343,
        0.140584,
        0.127779,
        0.120124,
        0.116934,
        0.123052,
        0.118881,
        0.109953,
        0.110964,
        0.113162,
        0.115249,
        0.122757,
        0.124555,
        0.12744,
        0.133271,
        0.140543,
        0.150377,
        0.163274,
        0.178557,
        0.212239,
        0.186807,
        0.152441,
        0.142059,
        0.135107,
        0.128175,
        0.122491,
        0.115135,
        0.110137,
        0.107741,
        0.105436,
        0.103209,
        0.103187,
        0.102117,
        0.101109,
        0.100968,
        0.0983844,
        0.0941866,
        0.104601,
        0.104549,
        0.0876423,
        0.0835482,
        0.0821559,
        0.0806007,
        0.0790423,
        0.0770396,
        0.0757433,
        0.0749944,
        0.0741345,
        0.0729108,
        0.0724849,
        0.0725049,
        0.0722663,
        0.0724832,
        0.0729848,
        0.0734488,
        0.0735007,
        0.0741209,
        0.0750497,
        0.0762857,
        0.0771474,
        0.0772528,
        0.0780646,
        0.0778993,
        0.077226,
        0.0770473,
        0.0787234,
        0.0814781,
        0.0835037,
        0.0846141,
        0.0857154,
        0.0875639,
        0.0900919,
        0.0970501,
        0.0989128,
        0.0977827,
        0.102024,
        0.106932,
        0.113589,
        0.119501,
        0.133257,
        0.133746,
        0.142239,
        0.156041,
        0.17094,
        0.304184,
        0.211266,
        0.189895,
        0.162426,
        0.154397,
        0.145447,
        0.138765,
        0.116219,
        0.109741,
        0.106148,
        0.10697,
        0.097478,
        0.0908345,
        0.0886082,
        0.0852403,
        0.0831295,
        0.082272,
        0.0814172,
        0.0783998,
        0.0768965,
        0.0757438,
        0.0752932,
        0.0743921,
        0.0739459,
        0.0739461,
        0.0752255,
        0.0746031,
        0.0717492,
        0.0705438,
        0.0709597,
        0.0772508,
        0.0785837,
        0.0687373,
        0.0695366,
        0.0700317,
        0.0697621,
        0.0703212,
        0.0700421,
        0.0703085,
        0.070577,
        0.0710075,
        0.072087,
        0.0728876,
        0.0732769,
        0.0744482,
        0.0788108,
        0.0823741,
        0.0794538,
        0.081462,
        0.0830491,
        0.0861717,
        0.0882908,
        0.0900901,
        0.0921395,
        0.0947857,
        0.0973672,
        0.0999786,
        0.102773,
        0.105718,
        0.109118,
        0.114317,
        0.121659,
        0.129406,
        0.143405,
        0.16092,
        0.18063,
        0.227292,
        0.287778,
        0.22706,
        0.200917,
        0.177089,
        0.161705,
        0.13861,
        0.129392,
        0.122394,
        0.117356,
        0.112176,
        0.109161,
        0.105495,
        0.102272,
        0.0998837,
        0.100004,
        0.0988688,
        0.0966124,
        0.0967237,
        0.09851,
        0.100713,
        0.102709,
        0.105272,
        0.110986,
        0.116088,
        0.124031,
        0.138273,
        0.15753,
        0.183345,
        0.226635,
        0.285619,
        0.32692,
        0.282968,
        0.226489,
        0.182946,
        0.155708,
        0.134218,
        0.121339,
        0.112497,
        0.105238,
        0.100369,
        0.0965997,
        0.0940913,
        0.0927818,
        0.0907145,
        0.0894285,
        0.0892635,
        0.0906596,
        0.0916729,
        0.0922455,
        0.0926301,
        0.0940045,
        0.11051,
        0.112444,
        0.100168,
        0.102987,
        0.106921,
        0.112,
        0.119368,
        0.127879,
        0.136802,
        0.148119,
        0.165712,
        0.190866,
        0.264643,
        0.3317,
        0.259898,
        0.202724,
        0.185717,
        0.142006,
        0.133276,
        0.128095,
        0.125631,
        0.119514,
        0.111925,
        0.107724,
        0.105483,
        0.101127,
        0.0961242,
        0.0922477,
        0.0901206,
        0.0881865,
        0.0858795,
        0.0836804,
        0.0893988,
        0.0879457,
        0.0801704,
        0.0789999,
        0.0789677,
        0.078291,
        0.0776223,
        0.0775763,
        0.0772739,
        0.0765139,
        0.0758214,
        0.0760122,
        0.0768781,
        0.0772144,
        0.0775587,
        0.0777117,
        0.077583,
        0.0773145,
        0.0778042,
        0.0793159,
        0.0798917,
        0.0820064,
        0.0836177,
        0.0846025,
        0.0869329,
        0.0896695,
        0.0916316,
        0.0949656,
        0.099111,
        0.101735,
        0.10506,
        0.107726,
        0.110219,
        0.114415,
        0.11998,
        0.139802,
        0.207017,
        0.187597,
        0.173404,
        0.161697,
        0.148701,
        0.136561,
        0.13068,
        0.125472,
        0.12147,
        0.114498,
        0.10889,
        0.105707,
        0.104391,
        0.102604,
        0.100843,
        0.101631,
        0.104023,
        0.101975,
        0.10024,
        0.0985854,
        0.0967042,
        0.0950325,
        0.0941726,
        0.0932063,
        0.0925329,
        0.0940269,
        0.0948848,
        0.0954734,
        0.0946081,
        0.0999919,
        0.102492,
        0.0883609,
        0.0878831,
        0.0928126,
        0.0922623,
        0.0881454,
        0.0892978,
        0.0912535,
        0.093048,
        0.0953241,
        0.098516,
        0.102762,
        0.107153,
        0.113096,
        0.121125,
        0.133043,
        0.148807,
        0.166068,
        0.79373,
        0.180175,
        0.16214,
        0.151822,
        0.144683,
        0.136306,
        0.133967,
        0.129417,
        0.129302,
        0.13087,
        0.130987,
        0.135202,
        0.142579,
        0.148602,
        0.154834,
        0.180642,
        0.271295,
        0.184128,
        0.172771,
        0.162789,
        0.152381,
        0.145737,
        0.123272,
        0.117177,
        0.11125,
        0.106372,
        0.101695,
        0.100039,
        0.0963865,
        0.0936696,
        0.0926374,
        0.0917396,
        0.090929,
        0.0904632,
        0.0906722,
        0.090722,
        0.0905016,
        0.0906028,
        0.0911169,
        0.0921991,
        0.093283,
        0.094196,
        0.0964853,
        0.0989089,
        0.102714,
        0.109204,
        0.114571,
        0.121761,
        0.130805,
        0.145321,
        0.165865,
        0.191492,
        0.232779,
        0.791064,
        0.317611,
        0.259981,
        0.185866,
        0.162275,
        0.144644,
        0.134023,
        0.126527,
        0.12129,
        0.117498,
        0.114847,
        0.113842,
        0.112767,
        0.111159,
        0.111442,
        0.112074,
        0.110737,
        0.108001,
        0.109994,
        0.111051,
        0.112092,
        0.116343,
        0.128464,
        0.132014,
        0.131015,
        0.137462,
        0.143774,
        0.150187,
        0.157319,
        0.162007,
        0.180146,
        0.17066,
        0.159437,
        0.158805,
        0.149369,
        0.147557,
        0.137895,
        0.132771,
        0.128368,
        0.129433,
        0.120654,
        0.118361,
        0.11796,
        0.120336,
        0.123592,
        0.127621,
        0.133362,
        0.141752,
        0.150204,
        0.161167,
        0.152302,
        0.140144,
        0.131071,
        0.129523,
        0.123637,
        0.112998,
        0.107764,
        0.104245,
        0.102434,
        0.100201,
        0.0997819,
        0.0988831,
        0.0976304,
        0.0979128,
        0.0968757,
        0.0969626,
        0.0979193,
        0.0988875,
        0.0989008,
        0.101441,
        0.102922,
        0.104724,
        0.106421,
        0.107355,
        0.10698,
        0.107672,
        0.108473,
        0.111022,
        0.112665,
        0.114564,
        0.119098,
        0.120807,
        0.124488,
        0.129779,
        0.136742,
        0.144078,
        null,
        0.104964,
        0.0948006,
        0.0867889,
        0.0810665,
        0.0770595,
        0.0740535,
        0.0718978,
        0.0691516,
        0.0667335,
        0.0652364,
        0.0639349,
        0.0636639,
        0.0638611,
        0.064988,
        0.0663985,
        0.0684314,
        0.0716021,
        0.0737951,
        0.0734511,
        0.0790181,
        0.0794792,
        0.0651592,
        0.0619284,
        0.0594864,
        0.0579135,
        0.0571625,
        0.0567584,
        0.0563648,
        0.0651497,
        0.065257,
        0.0562603,
        0.0560724,
        0.0559869,
        0.0563353,
        0.0571986,
        0.0576117,
        0.0577319,
        0.0582258,
        0.058876,
        0.059574,
        0.0601215,
        0.0610086,
        0.0621139,
        0.0636633,
        0.0651101,
        0.0669062,
        0.0690366,
        0.0712,
        0.0742572,
        0.0782262,
        0.0869044,
        0.09105,
        0.109461,
        0.119644,
        0.11351,
        0.124075,
        0.133179,
        0.139098,
        0.148232,
        0.165769,
        0.188744,
        0.23103,
        0.15453,
        0.134808,
        0.120985,
        0.110836,
        0.104471,
        0.101869,
        0.0992632,
        0.0941604,
        0.0882334,
        0.081879,
        0.0758397,
        0.0714144,
        0.0691571,
        0.0673071,
        0.0657099,
        0.0649352,
        0.0651387,
        0.0652977,
        0.0658442,
        0.0654999,
        0.0648767,
        0.0647517,
        0.0686633,
        0.0719002,
        0.0716033,
        0.0701729,
        0.0720927,
        0.0718735,
        0.0691863,
        0.065039,
        0.0610958,
        0.0575918,
        0.0557196,
        0.0544091,
        0.0530511,
        0.0521484,
        0.0517562,
        0.0516568,
        0.0517225,
        0.0516899,
        0.0518294,
        0.0523669,
        0.052782,
        0.0529839,
        0.0532513,
        0.0531543,
        0.0531646,
        0.0539718,
        0.0544946,
        0.0553255,
        0.05587,
        0.05578,
        0.0565607,
        0.0574897,
        0.0580761,
        0.0592311,
        0.0604203,
        0.0611665,
        0.0630662,
        0.0656495,
        0.0675759,
        0.070331,
        0.0732894,
        0.077023,
        0.0852319,
        0.0915083,
        0.0954643,
        0.105783,
        0.119413,
        0.13616,
        0.123226,
        0.107687,
        0.095306,
        0.0850593,
        0.0772419,
        0.0718278,
        0.0680908,
        0.0645395,
        0.0620541,
        0.0601649,
        0.0589808,
        0.0571661,
        0.0551913,
        0.0542684,
        0.0554649,
        0.0550297,
        0.0530409,
        0.0524905,
        0.0517463,
        0.0506428,
        0.0493385,
        0.0563596,
        0.0550864,
        0.0463156,
        0.0458667,
        0.04547,
        0.0451511,
        0.0449391,
        0.0450013,
        0.0449215,
        0.0447698,
        0.0445035,
        0.0442327,
        0.0441394,
        0.0439491,
        0.0433859,
        0.042958,
        0.0427028,
        0.0426993,
        0.0427119,
        0.0428595,
        0.042931,
        0.0433061,
        0.0433791,
        0.0437277,
        0.0439567,
        0.0469474,
        0.0476079,
        0.0449435,
        0.0453507,
        0.0459346,
        0.0464979,
        0.047353,
        0.0483172,
        0.0491323,
        0.0502812,
        0.0512539,
        0.057296,
        0.0580703,
        0.0537854,
        0.0548713,
        0.0558473,
        0.0567121,
        0.0578296,
        0.0591125,
        0.0610316,
        0.0629823,
        0.0654736,
        0.0686655,
        0.0729838,
        0.0794697,
        0.087922,
        0.0974406,
        0.105501,
        0.112273,
        0.119512,
        0.154962,
        0.136714,
        0.118653,
        0.105661,
        0.0949442,
        0.0870732,
        0.0806383,
        0.0750906,
        0.0711846,
        0.068079,
        0.0653389,
        0.063067,
        0.065852,
        0.0664543,
        0.0660561,
        0.0602944,
        0.058512,
        0.0568336,
        0.0551863,
        0.0536473,
        0.0518335,
        0.0501616,
        0.0488253,
        0.0474521,
        0.0466396,
        0.0460086,
        0.0449034,
        0.0444442,
        0.0434853,
        0.0428701,
        0.0422533,
        0.0418827,
        0.0415631,
        0.0413437,
        0.0412489,
        0.0438412,
        0.0423071,
        0.0409128,
        0.0416522,
        0.0422263,
        0.0494579,
        0.0504451,
        0.0449773,
        0.0474955,
        0.0501999,
        0.0526448,
        0.0552961,
        0.0538181,
        0.0493739,
        0.0469205,
        0.0456434,
        0.0448316,
        0.0442268,
        0.0439796,
        0.044015,
        0.0439951,
        0.0438626,
        0.0438513,
        0.0440239,
        0.0447223,
        0.0452158,
        0.0458445,
        0.046406,
        0.0475893,
        0.048646,
        0.0493459,
        0.0498051,
        0.0502696,
        0.054863,
        0.0548065,
        0.0545606,
        0.0573168,
        0.0597146,
        0.0644875,
        0.0682245,
        0.0699153,
        0.0759069,
        0.0872523,
        0.0989552,
        0.106557,
        0.121954,
        0.140741,
        0.167813,
        0.203504,
        0.239502,
        0.197446,
        0.164659,
        0.138547,
        0.122252,
        0.111556,
        0.103887,
        0.109589,
        0.107085,
        0.0990474,
        0.100507,
        0.101525,
        0.102048,
        0.100467,
        0.0958907,
        0.0941105,
        0.0971869,
        0.101352,
        0.109896,
        0.126726,
        0.154282,
        0.200143,
        0.282504,
        0.290932,
        0.19547,
        0.142494,
        0.111181,
        0.0934469,
        0.0818998,
        0.0727041,
        0.0659742,
        0.0609138,
        0.0574172,
        0.0546082,
        0.0525466,
        0.0509954,
        0.04962,
        0.0485724,
        0.0478636,
        0.0471268,
        0.0465876,
        0.046115,
        0.0456066,
        0.0453493,
        0.0452931,
        0.0449796,
        0.0448854,
        0.0450163,
        0.045128,
        0.0452755,
        0.047232,
        0.0474046,
        0.0482683,
        0.0505677,
        0.0540442,
        0.0576639,
        0.060999,
        0.063154,
        0.0636687,
        0.0624694,
        0.0611761,
        0.0608479,
        0.0620373,
        0.0636901,
        0.0667099,
        0.0719301,
        0.0804125,
        0.0918439,
        0.107864,
        0.132146,
        0.190745,
        0.169969,
        0.156295,
        0.172397,
        0.187423,
        0.144455,
        0.118264,
        0.103649,
        0.0901694,
        0.0799506,
        0.0733677,
        0.0678107,
        0.0628169,
        0.0593717,
        0.0575335,
        0.0553375,
        0.0525071,
        0.0508764,
        0.0494892,
        0.0483338,
        0.0473241,
        0.0465016,
        0.0457019,
        0.0448283,
        0.0494174,
        0.0487971,
        0.0430012,
        0.0418534,
        0.0414468,
        0.0418158,
        0.0419109,
        0.0418934,
        0.0415471,
        0.0412956,
        0.0432974,
        0.0433706,
        0.0399254,
        0.0391232,
        0.0386556,
        0.0383606,
        0.0394997,
        0.0408335,
        0.039122,
        0.0389611,
        0.039434,
        0.0400751,
        0.041123,
        0.0429491,
        0.0447763,
        0.0472506,
        0.049854,
        0.0519682,
        0.0531032,
        0.055644,
        0.0557783,
        0.0516507,
        0.0527663,
        0.0550521,
        0.0570367,
        0.0573789,
        0.0566459,
        0.0544035,
        0.0588461,
        0.0574128,
        0.0517278,
        0.0526915,
        0.0533979,
        0.05608,
        0.0600528,
        0.0645905,
        0.0716228,
        0.0814333,
        0.0961522,
        0.117739,
        0.151926,
        0.178782,
        0.138242,
        0.110982,
        0.093812,
        0.0821412,
        0.0738895,
        0.0687447,
        0.0648386,
        0.0622928,
        0.0606914,
        0.0598069,
        0.060381,
        0.0610699,
        0.0625216,
        0.0650743,
        0.0678911,
        0.0721325,
        0.0778084,
        0.0852091,
        0.0942955,
        0.109382,
        0.164099,
        0.116138,
        0.0944262,
        0.0837813,
        0.0766947,
        0.0706879,
        0.0664768,
        0.0627234,
        0.0591291,
        0.0567473,
        0.0550464,
        0.053435,
        0.0524601,
        0.0519561,
        0.0527397,
        0.0543257,
        0.0561566,
        0.0573271,
        0.0576654,
        0.0562068,
        0.0531614,
        0.0506054,
        0.0484819,
        0.0476737,
        0.0473243,
        0.0475683,
        0.0490925,
        0.0508239,
        0.0515634,
        0.051281,
        0.0492732,
        0.0468477,
        0.0443527,
        0.0428242,
        0.0414134,
        0.0406215,
        0.0400296,
        0.0400506,
        0.0400027,
        0.0403192,
        0.041362,
        0.0415637,
        0.0410519,
        0.041772,
        0.0418313,
        0.0426671,
        0.0437932,
        0.0444907,
        0.0455033,
        0.0463811,
        0.0469979,
        0.049355,
        0.0512621,
        0.0526752,
        0.0561096,
        0.0607119,
        0.0664114,
        0.0747664,
        0.0858081,
        0.101052,
        0.122627,
        0.154986,
        0.13742,
        0.1104,
        0.0914445,
        0.0784979,
        0.0694099,
        0.0629965,
        0.0583849,
        0.0550158,
        0.0531313,
        0.0515513,
        0.0502822,
        0.0494873,
        0.0491653,
        0.0489997,
        0.0532468,
        0.0529322,
        0.0527497,
        0.0552023,
        0.0562086,
        0.0509847,
        0.0524514,
        0.0553896,
        0.0574933,
        0.0590326,
        0.06322,
        0.0679894,
        0.0738703,
        0.0825097,
        0.0937688,
        0.108281,
        0.124643,
        0.189058,
        0.155655,
        0.138071,
        0.12976,
        0.126792,
        0.127796,
        0.141582,
        0.164571,
        0.196986,
        0.17503,
        0.133308,
        0.106328,
        0.0874055,
        0.0781624,
        0.072155,
        0.0676558,
        0.0651291,
        0.0638989,
        0.0626331,
        0.0644923,
        0.0655185,
        0.071087,
        0.0722054,
        0.0789053,
        0.0842482,
        0.0940068,
        0.105054,
        0.126201,
        0.160204,
        0.217858,
        0.247341,
        0.265787,
        0.208272,
        0.17667,
        0.127034,
        0.10952,
        0.0968177,
        0.0855572,
        0.0756159,
        0.0677611,
        0.0619141,
        0.0575567,
        0.0557064,
        0.0549465,
        0.0507618,
        0.0523506,
        0.0520584,
        0.0465106,
        0.0530454,
        0.0523777,
        0.04758,
        0.0469943,
        0.0437549,
        0.0443169,
        0.0447589,
        0.0450615,
        0.045194,
        0.0455461,
        0.0457822,
        0.0462631,
        0.0463854,
        0.0461858,
        0.0462491,
        0.0463596,
        0.0467777,
        0.0477227,
        0.0495278,
        0.0511892,
        0.0525488,
        0.0554625,
        0.0585364,
        0.0626564,
        0.0688474,
        0.0799258,
        0.0891831,
        0.104067,
        0.129151,
        0.165333,
        0.139728,
        0.109945,
        0.0926328,
        0.0812775,
        0.0842756,
        0.0766032,
        0.0630378,
        0.0580288,
        0.0540692,
        0.0518395,
        0.0504888,
        0.0497708,
        0.049283,
        0.0487674,
        0.0507957,
        0.0513266,
        0.0494717,
        0.0480382,
        0.0469296,
        0.0457081,
        0.044925,
        0.0438086,
        0.0438291,
        0.0434674,
        0.0465909,
        0.0459265,
        0.0508358,
        0.0531646,
        0.0497917,
        0.0511087,
        0.0514737,
        0.0511048,
        0.0497111,
        0.0482692,
        0.0470382,
        0.0470566,
        0.0481936,
        0.049715,
        0.0522661,
        0.0558799,
        0.061314,
        0.0707495,
        0.0856417,
        0.0955593,
        0.11612,
        0.138851,
        0.157463,
        0.164239,
        0.16471,
        0.165752,
        0.168986,
        0.163774,
        0.14563,
        0.123146,
        0.102877,
        0.0854127,
        0.0728753,
        0.0648619,
        0.0590208,
        0.0558824,
        0.0524467,
        0.0488074,
        0.0477955,
        0.04729,
        0.0475568,
        0.0480738,
        0.0489944,
        0.0502831,
        0.0525022,
        0.0554098,
        0.0590883,
        0.0635733,
        0.0684177,
        0.0726736,
        0.0760132,
        0.0770755,
        0.0759408,
        0.0735299,
        0.0718012,
        0.0698235,
        0.0674852,
        0.0652826,
        0.0629504,
        0.0597446,
        0.0560055,
        0.0537904,
        0.0520502,
        0.0503915,
        0.0497872,
        0.0490844,
        0.0487012,
        0.0486819,
        0.0506547,
        0.0518796,
        0.0520311,
        0.0542992,
        0.0564106,
        0.0574207,
        0.0560731,
        0.0547579,
        0.0541918,
        0.0552504,
        0.0571712,
        0.0594685,
        0.064057,
        0.0706408,
        0.0775122,
        0.0883427,
        0.104583,
        0.13113,
        0.139066,
        0.123043,
        0.104735,
        0.0836617,
        0.0742795,
        0.0680738,
        0.0626516,
        0.0588448,
        0.0564858,
        0.0546726,
        0.0528514,
        0.0509963,
        0.0490428,
        0.0476913,
        0.0462628,
        0.0454669,
        0.0444478,
        0.0436409,
        0.0427863,
        0.0421152,
        0.042197,
        0.0422381,
        0.0424664,
        0.0427057,
        0.0435082,
        0.0446752,
        0.0447783,
        0.0459782,
        0.0488943,
        0.0519602,
        0.0547425,
        0.0604043,
        0.0682885,
        0.0785913,
        0.0934587,
        0.111808,
        0.130808,
        0.139636,
        0.139555,
        0.138039,
        0.139526,
        0.141776,
        0.13875,
        0.109536,
        0.0923206,
        0.084553,
        0.0749749,
        0.060949,
        0.0564101,
        0.0516521,
        0.0475959,
        0.0448,
        0.0431908,
        0.0416258,
        0.0402589,
        0.0391587,
        0.0385035,
        0.0380371,
        0.0376252,
        0.0416013,
        0.04118,
        0.0367356,
        0.0366332,
        0.0365625,
        0.0364392,
        0.0367554,
        0.0372166,
        0.0371427,
        0.0374071,
        0.0380009,
        0.0387541,
        0.0396507,
        0.0403676,
        0.0416462,
        0.0438459,
        0.0470598,
        0.0527515,
        0.0590368,
        0.058538,
        0.0568155,
        0.0574505,
        0.0565151,
        0.0473831,
        0.0480733,
        0.0437807,
        0.0404099,
        0.0394063,
        0.0386973,
        0.0384993,
        0.0384333,
        0.0384972,
        0.0389629,
        0.0393681,
        0.0462678,
        0.0476875,
        0.0446684,
        0.0462488,
        0.0449088,
        0.0462247,
        0.0477761,
        0.0486276,
        0.0497755,
        0.0511149,
        0.0521104,
        0.0540362,
        0.0572471,
        0.0616458,
        0.0690063,
        0.0747699,
        0.0860647,
        0.102234,
        0.160245,
        0.168146,
        0.129613,
        0.102736,
        0.0868292,
        0.0770716,
        0.0695501,
        0.0645541,
        0.060303,
        0.0574168,
        0.0552069,
        0.053592,
        0.0525603,
        0.0514398,
        0.0508348,
        0.0508356,
        0.0509324,
        0.0509552,
        0.0515459,
        0.0528164,
        0.0541224,
        0.0559495,
        0.0631343,
        0.0672985,
        0.0698904,
        0.0846595,
        0.100992,
        0.113921,
        0.129895,
        0.144566,
        0.152928,
        0.151245,
        0.150058,
        0.149359,
        0.14796,
        0.144479,
        0.133929,
        0.122067,
        0.107413,
        0.0935013,
        0.0829174,
        0.0792304,
        0.0777277,
        0.0776459,
        0.078815,
        0.0824465,
        0.0876238,
        0.103154,
        0.10548,
        0.108881,
        0.121976,
        0.141533,
        0.17536,
        0.226136,
        0.370625,
        0.0960031,
        0.084214,
        0.0852576,
        0.0776781,
        0.0644973,
        0.0604603,
        0.0574839,
        0.0554897,
        0.0541047,
        0.0533463,
        0.0524998,
        0.0518819,
        0.0513786,
        0.0504173,
        0.0493879,
        0.0482116,
        0.0467679,
        0.0451889,
        0.0452566,
        0.0444012,
        0.0426096,
        0.0420971,
        0.0417393,
        0.0411201,
        0.0407407,
        0.0402606,
        0.0402155,
        0.0402341,
        0.0400425,
        0.0403653,
        0.0408368,
        0.04124,
        0.0419795,
        0.0423177,
        0.0430864,
        0.0439564,
        0.0523949,
        0.0540357,
        0.0482937,
        0.0524672,
        0.0552614,
        0.0559287,
        0.0604958,
        0.0668958,
        0.0745079,
        0.0840002,
        0.0995705,
        0.137005,
        0.173051,
        0.138642,
        0.114182,
        0.09847,
        0.0882821,
        0.0835039,
        0.0835414,
        0.0786266,
        0.078507,
        0.0787226,
        0.0785765,
        0.0789046,
        0.0805608,
        0.0907417,
        0.0918955,
        0.0921723,
        0.0991832,
        0.109568,
        0.120996,
        0.144605,
        0.158347,
        0.126472,
        0.119853,
        0.121038,
        0.122229,
        0.118673,
        0.110322,
        0.0983805,
        0.0849472,
        0.0733157,
        0.0645038,
        0.0588204,
        0.0541626,
        0.0506114,
        0.0482433,
        0.0466248,
        0.0456182,
        0.0449652,
        0.0445283,
        0.0441645,
        0.0441488,
        0.0452536,
        0.0488776,
        0.0510315,
        0.0477099,
        0.0473323,
        0.0457375,
        0.0433612,
        0.0413557,
        0.0402067,
        0.0396252,
        0.0389844,
        0.0388366,
        0.0389206,
        0.0392109,
        0.0394801,
        0.0396322,
        0.0397391,
        0.0404052,
        0.0406761,
        0.0410227,
        0.0420294,
        0.0428314,
        0.0421405,
        0.0412658,
        0.0405898,
        0.0397188,
        0.0390596,
        0.0385128,
        0.0379871,
        0.0375888,
        0.0374897,
        0.0378611,
        0.0373298,
        0.0365591,
        0.0363988,
        0.0367281,
        0.0364084,
        0.0359926,
        0.0361611,
        0.0360485,
        0.0359747,
        0.0359565,
        0.0358676,
        0.0356801,
        0.0356371,
        0.0357802,
        0.0359386,
        0.0360793,
        0.0362231,
        0.0365495,
        0.0369167,
        0.0372879,
        0.0381534,
        0.0387576,
        0.0390836,
        0.0397713,
        0.0408054,
        0.041945,
        0.043705,
        0.0457503,
        0.0472036,
        0.0481511,
        0.0482035,
        0.0480952,
        0.0479209,
        0.0475027,
        0.048317,
        0.0495419,
        0.0502101,
        0.0511718,
        0.0530653,
        0.0566287,
        0.0603669,
        0.0646685,
        0.070401,
        0.0784409,
        0.0886659,
        0.102964,
        0.120818,
        0.199996,
        0.168349,
        0.14878,
        0.137247,
        0.135896,
        0.140343,
        0.150688,
        0.167005,
        0.212005,
        0.213386,
        0.128932,
        0.111034,
        0.0951402,
        0.0831665,
        0.0743121,
        0.06808,
        0.0636968,
        0.0596226,
        0.0558412,
        0.0537069,
        0.0524226,
        0.0513456,
        0.0506551,
        0.0507432,
        0.0515999,
        0.0581914,
        0.0591098,
        0.0527282,
        0.0526888,
        0.0514121,
        0.0490869,
        0.0474833,
        0.0463739,
        0.044916,
        0.0439778,
        0.0436832,
        0.0428886,
        0.0420384,
        0.0415104,
        0.0416829,
        0.0411444,
        0.0408579,
        0.0409373,
        0.0411417,
        0.0412681,
        0.0414767,
        0.0422202,
        0.0428481,
        0.0437909,
        0.0454743,
        0.0461998,
        0.0481495,
        0.0478005,
        0.0445057,
        0.042742,
        0.0413262,
        0.0402546,
        0.0397598,
        0.0394312,
        0.0393671,
        0.0388841,
        0.0388584,
        0.0383806,
        0.0383184,
        0.038423,
        0.0385573,
        0.0385338,
        0.0387951,
        0.0389423,
        0.0399917,
        0.0398844,
        0.03913,
        0.0388233,
        0.0386024,
        0.0385352,
        0.0389264,
        0.0394033,
        0.0397246,
        0.0396924,
        0.0399955,
        0.0401695,
        0.0449482,
        0.0474302,
        0.0416018,
        0.0422026,
        0.0422463,
        0.0426067,
        0.042926,
        0.0428486,
        0.042563,
        0.0427369,
        0.0431919,
        0.0438928,
        0.0517034,
        0.0527151,
        0.0462387,
        0.0470822,
        0.0487248,
        0.0512366,
        0.0533914,
        0.0553876,
        0.0589215,
        0.0627187,
        0.0675609,
        0.0741408,
        0.084208,
        0.10002,
        0.120528,
        0.18875,
        0.177975,
        0.163831,
        0.150088,
        0.131783,
        0.111798,
        0.0940238,
        0.0818406,
        0.0747762,
        0.0691803,
        0.0636378,
        0.0691596,
        0.0665351,
        0.0561313,
        0.0548112,
        0.054319,
        0.0542939,
        0.0539423,
        0.0535546,
        0.0531986,
        0.0521475,
        0.0509744,
        0.050298,
        0.0502539,
        0.0505248,
        0.0502404,
        0.0493952,
        0.0492052,
        0.0532264,
        0.0528163,
        0.0466613,
        0.0483302,
        0.0480185,
        0.0479741,
        0.0485645,
        0.0462332,
        0.046298,
        0.0461811,
        0.0468592,
        0.047644,
        0.0487345,
        0.0497293,
        0.0499121,
        0.05031,
        0.0587517,
        0.0596896,
        0.0529605,
        0.0590362,
        0.0582608,
        0.0585092,
        0.0610621,
        0.064079,
        0.0742293,
        0.0764824,
        0.0783766,
        0.0860736,
        0.0967068,
        0.110354,
        0.129838,
        0.160395,
        0.20996,
        0.164907,
        0.136337,
        0.115112,
        0.0999478,
        0.0880108,
        0.0812547,
        0.0749203,
        0.0694793,
        0.0645441,
        0.0620299,
        0.0596084,
        0.0577127,
        0.0559018,
        0.0544132,
        0.0531356,
        0.0531731,
        0.0525525,
        0.0517307,
        0.0518645,
        0.0511734,
        0.050658,
        0.0505254,
        0.0503747,
        0.0512761,
        0.0519358,
        0.0521712,
        0.0517733,
        0.0523052,
        0.0527533,
        0.0541044,
        0.0556153,
        0.0580122,
        0.0607116,
        0.0650941,
        0.0690696,
        0.0743367,
        0.0811655,
        0.0884326,
        0.0980091,
        0.112877,
        0.132967,
        0.239695,
        0.270641,
        0.20573,
        0.155428,
        0.125689,
        0.105369,
        0.0904925,
        0.0809875,
        0.0735194,
        0.0657025,
        0.0608752,
        0.0579112,
        0.0551654,
        0.0532113,
        0.0514259,
        0.04981,
        0.0486323,
        0.0479796,
        0.0468082,
        0.0460809,
        0.0452495,
        0.0449528,
        0.0447052,
        0.0439633,
        0.0438749,
        0.0438843,
        0.0460548,
        0.0481016,
        0.0444104,
        0.0441779,
        0.0440098,
        0.0437892,
        0.0440868,
        0.0439968,
        0.0443007,
        0.0451691,
        0.04539,
        0.0462575,
        0.0470617,
        0.0476063,
        0.048451,
        0.0490074,
        0.0490638,
        0.0490337,
        0.0534489,
        0.0508881,
        0.0486989,
        0.0484222,
        0.0474834,
        0.0467974,
        0.0462815,
        0.0454352,
        0.0445355,
        0.0442376,
        0.0439395,
        0.0438058,
        0.0441255,
        0.0438927,
        0.044085,
        0.0443746,
        0.0444333,
        0.0449475,
        0.0452876,
        0.0444386,
        0.0434324,
        0.0426868,
        0.0421458,
        0.0417914,
        0.041251,
        0.0414232,
        0.0418091,
        0.0405198,
        0.0400151,
        0.0401896,
        0.0396908,
        0.0396328,
        0.0397156,
        0.0395725,
        0.0399495,
        0.0399614,
        0.0401741,
        0.0402722,
        0.0404499,
        0.0402568,
        0.0402903,
        0.0408841,
        0.0405389,
        0.0407972,
        0.0412303,
        0.0417868,
        0.0425928,
        0.0435234,
        0.0437073,
        0.0439413,
        0.0441619,
        0.044409,
        0.0447956,
        0.0453456,
        0.0463434,
        0.0474451,
        0.047944,
        0.0495811,
        0.0518353,
        0.0543014,
        0.0569369,
        0.059973,
        0.0613292,
        0.0619109,
        0.0630067,
        0.0644343,
        0.0658075,
        0.0680776,
        0.0743043,
        0.0820464,
        0.0895906,
        0.0980704,
        0.105321,
        0.110244,
        0.110752,
        0.108971,
        0.104689,
        0.104902,
        0.108333,
        0.112204,
        0.118968,
        0.118197,
        0.11631,
        0.117455,
        0.123778,
        0.136194,
        0.18956,
        0.288961,
        0.193956,
        0.120923,
        0.100459,
        0.0870246,
        0.0766687,
        0.0685202,
        0.0627307,
        0.0591726,
        0.0568916,
        0.0543507,
        0.0525351,
        0.0509733,
        0.049657,
        0.0489235,
        0.0484666,
        0.0477082,
        0.047598,
        0.0471474,
        0.0468547,
        0.0463748,
        0.04673,
        0.0466989,
        0.0475117,
        0.0478009,
        0.0477354,
        0.0473616,
        0.0471834,
        0.0496393,
        0.0512381,
        0.0451702,
        0.0452005,
        0.0450204,
        0.0446083,
        0.0447251,
        0.0454192,
        0.0462998,
        0.0460444,
        0.0464093,
        0.0468694,
        0.0470007,
        0.0467521,
        0.0466273,
        0.0463341,
        0.0459164,
        0.0455457,
        0.0451617,
        0.0449557,
        0.0443664,
        0.0445265,
        0.0434458,
        0.0437169,
        0.0435345,
        0.0435439,
        0.0435288,
        0.0432875,
        0.0442106,
        0.0441059,
        0.0443685,
        0.0435396,
        0.0429086,
        0.0427868,
        0.042913,
        0.0427906,
        0.0427125,
        0.0423542,
        0.0425765,
        0.0428125,
        0.0428777,
        0.0428787,
        0.0428287,
        0.0430902,
        0.0433699,
        0.0434964,
        0.043756,
        0.0439812,
        0.0442106,
        0.044425,
        0.045304,
        0.046892,
        0.0475137,
        0.0474634,
        0.0482743,
        0.04953,
        0.0512326,
        0.0532357,
        0.0553299,
        0.0568931,
        0.0562014,
        0.055656,
        0.0553928,
        0.0553829,
        0.0561737,
        0.0566951,
        0.0570147,
        0.0585045,
        0.059748,
        0.0599175,
        0.0621338,
        0.0635883,
        0.0640949,
        0.0658386,
        0.0685766,
        0.0721952,
        0.0781499,
        0.0860899,
        0.0885912,
        0.107004,
        0.110824,
        0.0954054,
        0.0946198,
        0.0896892,
        0.0895332,
        0.0922289,
        0.0960032,
        0.101639,
        0.0934179,
        0.0908699,
        0.0855433,
        0.0790854,
        0.0743882,
        0.0705019,
        0.0681805,
        0.0665454,
        0.066593,
        0.0664903,
        0.0674025,
        0.0699018,
        0.0725974,
        0.0760029,
        0.0809367,
        0.0897881,
        0.101501,
        0.116729,
        0.142089,
        0.202918,
        0.177698,
        0.146588,
        0.122782,
        0.105995,
        0.0938899,
        0.08486,
        0.0778459,
        0.0723941,
        0.0677493,
        0.0644017,
        0.0617512,
        0.060198,
        0.060191,
        0.0589965,
        0.0581451,
        0.0582429,
        0.0580968,
        0.0586661,
        0.0588954,
        0.0594947,
        0.0592035,
        0.0581427,
        0.0578216,
        0.0570026,
        0.0565065,
        0.0563661,
        0.0560883,
        0.0556488,
        0.0550653,
        0.0557594,
        0.0561677,
        0.0559514,
        0.0561453,
        0.0558277,
        0.0560686,
        0.0552472,
        0.0559025,
        0.0560962,
        0.0557091,
        0.0557445,
        0.0558369,
        0.0557407,
        0.0553091,
        0.0557494,
        0.0560254,
        0.0564371,
        0.0573188,
        0.0588603,
        0.0584675,
        0.0584401,
        0.0619297,
        0.0633069,
        0.0604652,
        0.0610392,
        0.0619246,
        0.0618039,
        0.0626925,
        0.0642541,
        0.0664553,
        0.0674801,
        0.0694874,
        0.0725388,
        0.0750512,
        0.078963,
        null,
        0.0436749,
        0.0447255,
        0.0462316,
        0.0482019,
        0.0504908,
        0.0531996,
        0.0569669,
        0.061774,
        0.0706926,
        0.0745954,
        0.0729572,
        0.0734262,
        0.0734523,
        0.0730369,
        0.0727713,
        0.0745476,
        0.0753431,
        0.0744459,
        0.0725646,
        0.0685882,
        0.0637728,
        0.0586087,
        0.0546602,
        0.0509356,
        0.048017,
        0.0462966,
        0.0451751,
        0.0444495,
        0.0436652,
        0.0426319,
        0.0417682,
        0.0411319,
        0.040821,
        0.0417799,
        0.0415246,
        0.0410781,
        0.0412543,
        0.0417752,
        0.0420001,
        0.0419881,
        0.0414141,
        0.0414627,
        0.0416288,
        0.0420163,
        0.0430574,
        0.0444362,
        0.0462399,
        0.0496658,
        0.0534919,
        0.0581322,
        0.0646591,
        0.0741723,
        0.0869724,
        0.0976131,
        0.102022,
        0.0971973,
        0.086756,
        0.0751415,
        0.064829,
        0.0578539,
        0.0530444,
        0.0494994,
        0.0471908,
        0.045388,
        0.0440922,
        0.0429888,
        0.0422013,
        0.0417297,
        0.0412244,
        0.0407304,
        0.0403181,
        0.0400526,
        0.0398657,
        0.039763,
        0.0399388,
        0.0403335,
        0.0405449,
        0.0411718,
        0.0419851,
        0.0426922,
        0.0435308,
        0.0438985,
        0.0439256,
        0.0443066,
        0.0437789,
        0.0420528,
        0.0410186,
        0.0402753,
        0.0394887,
        0.0388078,
        0.0384344,
        0.0383361,
        0.0388387,
        0.0395802,
        0.0402499,
        0.0403792,
        0.039806,
        0.0390069,
        0.0383517,
        0.0378149,
        0.037356,
        0.0369454,
        0.0366629,
        0.0373794,
        0.0371611,
        0.0360918,
        0.036123,
        0.0361804,
        0.0364055,
        0.0367394,
        0.0371036,
        0.0373353,
        0.0379561,
        0.0424089,
        0.0432514,
        0.0401579,
        0.0409372,
        0.0422152,
        0.0440435,
        0.0463921,
        0.0496637,
        0.0526083,
        0.0546232,
        0.0556172,
        0.0550458,
        0.0539448,
        0.0531091,
        0.0530382,
        0.0536695,
        0.0544124,
        0.0548081,
        0.0537814,
        0.0512239,
        0.0486856,
        0.0465223,
        0.0440892,
        0.04253,
        0.0415371,
        0.0405241,
        0.0396057,
        0.0386209,
        0.0375923,
        0.0368402,
        0.0366543,
        0.0416389,
        0.0407489,
        0.0350554,
        0.0350267,
        0.0349993,
        0.0351245,
        0.0351578,
        0.040855,
        0.0410613,
        0.0353597,
        0.0353982,
        0.03557,
        0.0354156,
        0.0353591,
        0.0355535,
        0.0358467,
        0.0361362,
        0.0365172,
        0.0370413,
        0.0373954,
        0.0377802,
        0.039859,
        0.0420306,
        0.0425763,
        0.0428719,
        0.0447213,
        0.0472641,
        0.0509068,
        0.0560916,
        0.0626314,
        0.0714873,
        0.0804343,
        0.0849599,
        0.083329,
        0.0760841,
        0.0678371,
        0.061756,
        0.0594543,
        0.0571323,
        0.0551285,
        0.0556376,
        0.0559855,
        0.0555589,
        0.0537688,
        0.0508752,
        0.048038,
        0.0451788,
        0.0430076,
        0.0413747,
        0.04006,
        0.0391334,
        0.0381773,
        0.0371475,
        0.0363984,
        0.035883,
        0.0358389,
        0.035562,
        0.035263,
        0.0351433,
        0.0351116,
        0.0350702,
        0.0350775,
        0.0350908,
        0.035124,
        0.0351373,
        0.0351613,
        0.0352417,
        0.0355187,
        0.0358018,
        0.0359845,
        0.0360626,
        0.0383397,
        0.0390183,
        0.0373537,
        0.0378967,
        0.0384091,
        0.0390052,
        0.039326,
        0.0396807,
        0.0403274,
        0.0412992,
        0.0421146,
        0.0428971,
        0.0442919,
        0.0459197,
        0.0479282,
        0.0501454,
        0.0525817,
        0.0550083,
        0.0585757,
        0.0631966,
        0.0680143,
        0.0723636,
        0.0773572,
        0.0817858,
        0.0846553,
        0.0918087,
        0.100345,
        0.112539,
        0.131208,
        0.158707,
        0.254755,
        0.183147,
        0.142586,
        0.114359,
        0.0955996,
        0.0906017,
        0.0814392,
        0.0692244,
        0.0633534,
        0.0587466,
        0.0562335,
        0.0546658,
        0.0531809,
        0.0520213,
        0.0520662,
        0.0524893,
        0.0530442,
        0.0535264,
        0.0535387,
        0.0523206,
        0.0507541,
        0.0503068,
        0.0490663,
        0.0491094,
        0.0481157,
        0.0460655,
        0.0459338,
        0.0458951,
        0.0459712,
        0.04672,
        0.048285,
        0.0507146,
        0.0528732,
        0.0551665,
        0.0578431,
        0.0605172,
        0.0639642,
        0.0683375,
        0.0743973,
        0.0798548,
        0.0816013,
        0.0790717,
        0.0735366,
        0.0655888,
        0.0580617,
        0.057307,
        0.0518371,
        0.0447028,
        0.0424092,
        0.0451557,
        0.0436919,
        0.0383454,
        0.0370022,
        0.0362976,
        0.0358891,
        0.0355049,
        0.0349562,
        0.0345719,
        0.03414,
        0.0336049,
        0.0332551,
        0.0330329,
        0.0329627,
        0.0329923,
        0.032662,
        0.0323804,
        0.0322818,
        0.03232,
        0.0321912,
        0.032294,
        0.0324477,
        0.0338356,
        0.0341139,
        0.0328527,
        0.033223,
        0.0333592,
        0.0335148,
        0.0339188,
        0.0340364,
        0.034081,
        0.0339991,
        0.0341852,
        0.0342719,
        0.034576,
        0.0351064,
        0.035572,
        0.0364317,
        0.0377304,
        0.0392354,
        0.0411226,
        0.0429379,
        0.0455764,
        0.0473024,
        0.0469005,
        0.0461624,
        0.0452584,
        0.0442659,
        0.0462597,
        0.0464189,
        0.0443383,
        0.0449551,
        0.0451609,
        0.0468435,
        0.0447312,
        0.0422939,
        0.040864,
        0.0400046,
        0.0397333,
        0.0398594,
        0.0404898,
        0.0413701,
        0.0413202,
        0.0410084,
        0.0396489,
        0.0378862,
        0.0367339,
        0.0362257,
        0.0348813,
        0.0341196,
        0.0336018,
        0.0334047,
        0.0333108,
        0.0348807,
        0.0350611,
        0.0334883,
        0.0335033,
        0.0337503,
        0.0340452,
        0.0343626,
        0.0349704,
        0.0355704,
        0.0358521,
        0.0361664,
        0.0371961,
        0.0382085,
        0.0394235,
        0.0407059,
        0.0422629,
        0.0442959,
        0.0476795,
        0.0504912,
        0.0517551,
        0.0550244,
        0.0580339,
        0.0611679,
        0.0652137,
        0.0711422,
        0.0783721,
        0.0887007,
        0.103237,
        0.122506,
        0.164799,
        0.150142,
        0.107329,
        0.0929369,
        0.0821778,
        0.0804422,
        0.0714972,
        0.0655164,
        0.0648687,
        0.0654454,
        0.0671185,
        0.0675429,
        0.0666616,
        0.0629043,
        0.0573461,
        0.0514209,
        0.0478449,
        0.0444947,
        0.0409389,
        0.0390387,
        0.0374599,
        0.0365447,
        0.0357142,
        0.0349324,
        0.0344307,
        0.0344154,
        0.0340994,
        0.033775,
        0.0335228,
        0.033421,
        0.0335329,
        0.0333836,
        0.0332186,
        0.0330683,
        0.0327536,
        0.0328512,
        0.0329201,
        0.033225,
        0.0336092,
        0.0339204,
        0.0341641,
        0.0347804,
        0.0351624,
        0.0354293,
        0.0363174,
        0.0372006,
        0.0380039,
        0.0389189,
        0.0406337,
        0.0424378,
        0.0441969,
        0.0457511,
        0.0463706,
        0.0462308,
        0.0455065,
        0.0447445,
        0.0439511,
        0.0434674,
        0.0420136,
        0.0401854,
        0.0393603,
        0.0390724,
        0.0394585,
        0.0398744,
        0.0402682,
        0.0401271,
        0.0390371,
        0.0373706,
        0.0366118,
        0.0351405,
        0.0332534,
        0.0337726,
        0.0322471,
        0.0311257,
        0.0307806,
        0.0305615,
        0.0304034,
        0.0301916,
        0.0320882,
        0.0322967,
        0.0300055,
        0.0301197,
        0.0300478,
        0.0298982,
        0.0295894,
        0.0310559,
        0.0345828,
        0.0332754,
        0.0303636,
        0.0302648,
        0.0306847,
        0.0313249,
        0.0319853,
        0.0323094,
        0.0330094,
        0.0335887,
        0.0340363,
        0.0341974,
        0.0340036,
        0.0334176,
        0.0328315,
        0.0325646,
        0.032435,
        0.0309714,
        0.0306533,
        0.0303273,
        0.0302251,
        0.030123,
        0.0298813,
        0.0297561,
        0.0297394,
        0.0295234,
        0.0293352,
        0.0292579,
        0.0293248,
        0.0293115,
        0.0292116,
        0.0291754,
        0.0290693,
        0.0297599,
        0.0295155,
        0.0291262,
        0.0292634,
        0.0293717,
        0.0321679,
        0.0322407,
        0.0298268,
        0.0301302,
        0.0303653,
        0.030233,
        0.0305204,
        0.0309472,
        0.0316441,
        0.0325449,
        0.0337808,
        0.0353656,
        0.0374311,
        0.0401941,
        0.0437641,
        0.0470149,
        0.0493744,
        0.0500606,
        0.0494431,
        0.0478768,
        0.0465017,
        0.0461233,
        0.0458837,
        0.0502864,
        0.0486702,
        0.0440188,
        0.0410561,
        0.0384282,
        0.0368347,
        0.0359591,
        0.0352928,
        0.0347411,
        0.0347375,
        0.0344707,
        0.033616,
        0.0334608,
        0.03579,
        0.0343179,
        0.0337632,
        0.03411,
        0.0333465,
        0.0332099,
        0.0343906,
        0.0353211,
        0.0343034,
        0.0337174,
        0.0343046,
        0.0351901,
        0.0361815,
        0.037168,
        0.0383839,
        0.0391596,
        0.0400451,
        0.039885,
        0.0391749,
        0.038368,
        0.0380865,
        0.0383204,
        0.0385684,
        0.03924,
        0.0398845,
        0.0403966,
        0.0404569,
        0.0399266,
        0.0389814,
        0.0380788,
        0.0376789,
        0.037287,
        0.0368383,
        0.0369605,
        0.0371072,
        0.0373034,
        0.03772,
        0.0386497,
        0.0403163,
        0.0410658,
        0.0420295,
        0.0441495,
        0.0459415,
        0.048164,
        0.0516181,
        0.055416,
        0.0595125,
        0.0648572,
        0.0713218,
        0.0828293,
        0.0932741,
        0.106077,
        0.126739,
        0.158145,
        0.155983,
        0.121622,
        0.0986139,
        0.0844594,
        0.0740118,
        0.0666296,
        0.06083,
        0.0569953,
        0.0542884,
        0.0520835,
        0.0503166,
        0.0498233,
        0.05718,
        0.0579741,
        0.0509133,
        0.0506055,
        0.0490832,
        0.0470004,
        0.0444394,
        0.041671,
        0.0398149,
        0.0386478,
        0.0374513,
        0.0366232,
        0.0357119,
        0.0352841,
        0.0349962,
        0.0344001,
        0.0340808,
        0.0338091,
        0.0338021,
        0.0339096,
        0.0342205,
        0.0349147,
        0.0353386,
        0.0360486,
        0.0398717,
        0.0398327,
        0.0402952,
        0.042122,
        0.0441086,
        0.0453471,
        0.045426,
        0.0440265,
        0.0417923,
        0.0394272,
        0.0372466,
        0.0358648,
        0.0346421,
        0.0341983,
        0.0332152,
        0.0323951,
        0.0319851,
        0.0318238,
        0.0317057,
        0.031435,
        0.0314581,
        0.0312697,
        0.0313877,
        0.0313333,
        0.0333869,
        0.0341437,
        0.0318106,
        0.0323491,
        0.0329935,
        0.0337221,
        0.0342894,
        0.0348135,
        0.0352516,
        0.0351605,
        0.0348917,
        0.0340775,
        0.0335119,
        0.0336671,
        0.0337679,
        0.0336865,
        0.0343741,
        0.0373195,
        0.03757,
        0.0345899,
        0.0338676,
        0.0328804,
        0.0323399,
        0.0319601,
        0.031996,
        0.031852,
        0.0324625,
        0.0328223,
        0.0316728,
        0.0318217,
        0.0320143,
        0.0319458,
        0.0325767,
        0.0338794,
        0.0323136,
        0.031883,
        0.0319359,
        0.0316238,
        0.0311307,
        0.0308274,
        0.030842,
        0.0322454,
        0.03261,
        0.0303371,
        0.0302452,
        0.0303223,
        0.0304645,
        0.0308391,
        0.0313483,
        0.0318079,
        0.0324929,
        0.0333437,
        0.0345682,
        0.036619,
        0.0382866,
        0.0390454,
        0.038553,
        0.0371048,
        0.0355601,
        0.0341045,
        0.032956,
        0.0362753,
        0.03536,
        0.0306274,
        0.030322,
        0.0299486,
        0.0298707,
        0.0296867,
        0.0290709,
        0.0288628,
        0.0288329,
        0.0287776,
        0.0286843,
        0.029138,
        0.0290985,
        0.0285195,
        0.0284853,
        0.0286603,
        0.0285491,
        0.0297461,
        0.0290479,
        0.0289658,
        0.0286013,
        0.0282848,
        0.028414,
        0.0286241,
        0.0288214,
        0.0290717,
        0.0298305,
        0.0295756,
        0.0299272,
        0.030074,
        0.0298898,
        0.0297878,
        0.0295741,
        0.0293574,
        0.0292755,
        0.0291781,
        0.0290908,
        0.0340703,
        0.0338884,
        0.0289768,
        0.029196,
        0.0295381,
        0.0299725,
        0.0301918,
        0.030701,
        0.0310279,
        0.0315385,
        0.0329394,
        0.0336764,
        0.0350552,
        0.0366682,
        0.0379602,
        0.0393071,
        0.0395955,
        0.039301,
        0.0379423,
        0.036258,
        0.038324,
        0.037229,
        0.0329902,
        0.0325748,
        0.0320472,
        0.0316752,
        0.0317283,
        0.0350972,
        0.0372154,
        0.0342251,
        0.0342086,
        0.0431446,
        0.0449267,
        0.039152,
        0.0411967,
        0.0435461,
        0.0451969,
        0.0455616,
        0.0452097,
        0.0442416,
        0.0423275,
        0.0406481,
        0.0397054,
        0.0392909,
        0.0382105,
        0.0374,
        0.0363655,
        0.0357299,
        0.0349134,
        0.0345253,
        0.0342697,
        0.0343947,
        0.0347104,
        0.0353837,
        0.0365198,
        0.0377208,
        0.0407171,
        0.0430569,
        0.0399013,
        0.0413351,
        0.0398145,
        0.0347491,
        0.0331336,
        0.0321693,
        0.0315715,
        0.0312036,
        0.0306743,
        0.0302693,
        0.0300786,
        0.0297964,
        0.0297267,
        0.0295153,
        0.0293588,
        0.0291991,
        0.0293349,
        0.029369,
        0.0357288,
        0.0345856,
        0.0288936,
        0.0285784,
        0.0296183,
        0.0286902,
        0.0281629,
        0.0283991,
        0.0282918,
        0.0281025,
        0.0287748,
        0.028389,
        0.028008,
        0.0280631,
        0.0310867,
        0.0310605,
        0.0280088,
        0.0277783,
        0.0278519,
        0.0280218,
        0.0287714,
        0.0288833,
        0.0276804,
        0.02778,
        0.0278188,
        0.0279879,
        0.0277917,
        0.0278981,
        0.0276445,
        0.0279405,
        0.0279782,
        0.0281541,
        0.0302033,
        0.0310679,
        0.0284966,
        0.0284217,
        0.0282365,
        0.0282251,
        0.0283472,
        0.028624,
        0.028543,
        0.0283794,
        0.0292517,
        0.0296643,
        0.0285462,
        0.0283825,
        0.0284035,
        0.0286327,
        0.0289761,
        0.0294835,
        0.0305298,
        0.0316694,
        0.0289743,
        0.0288523,
        0.0288949,
        0.0295394,
        0.0298594,
        0.0293486,
        0.0341429,
        0.0343408,
        0.0294312,
        0.0294276,
        0.0294519,
        0.0312468,
        0.0313544,
        0.0302985,
        0.0303765,
        0.030768,
        0.0314732,
        0.0321606,
        0.0330107,
        0.034045,
        0.0353853,
        0.0374667,
        0.0405049,
        0.0416552,
        0.0411385,
        0.0401761,
        0.0398035,
        0.0396539,
        0.0406828,
        0.0422499,
        0.0442352,
        0.0461889,
        0.0471253,
        0.048335,
        0.0452161,
        0.0420517,
        0.039808,
        0.0383442,
        0.0374132,
        0.037297,
        0.0371844,
        0.0370651,
        0.0370975,
        0.0370067,
        0.03662,
        0.0357606,
        0.0350422,
        0.034366,
        0.0337078,
        0.0331875,
        0.0327366,
        0.0325468,
        0.0321404,
        0.0319804,
        0.031917,
        0.0320456,
        0.0320654,
        0.0320282,
        0.0324412,
        0.0328408,
        0.0320107,
        0.0336917,
        0.0354322,
        0.0321482,
        0.0323362,
        0.032264,
        0.0325474,
        0.032985,
        0.038156,
        0.0386461,
        0.0345183,
        0.0343159,
        0.0338301,
        0.0342494,
        0.0343789,
        0.0347023,
        0.0356445,
        0.0367893,
        0.0359526,
        0.0367691,
        0.0380904,
        0.0388327,
        0.0394571,
        0.0405071,
        0.0420243,
        0.0436707,
        0.0449602,
        0.0470426,
        0.0494656,
        0.0547557,
        0.0598139,
        0.0614559,
        0.066744,
        0.0766268,
        0.0882049,
        0.104139,
        0.128366,
        0.445584,
        0.3014,
        0.158914,
        0.123417,
        0.10157,
        0.0869819,
        0.0764257,
        0.0695135,
        0.0640573,
        0.0589714,
        0.0551392,
        0.0521644,
        0.049565,
        0.0472358,
        0.045713,
        0.0443196,
        0.0432896,
        0.0465753,
        0.0477539,
        0.0443236,
        0.0425136,
        0.0432048,
        0.0439785,
        0.0466556,
        0.0479819,
        0.0475519,
        0.047014,
        0.0590517,
        0.0564289,
        0.0406369,
        0.0389518,
        0.0382698,
        0.0372185,
        0.0368113,
        0.036897,
        0.0363923,
        0.0360437,
        0.0362944,
        0.0362957,
        0.0362146,
        0.0361822,
        0.0364665,
        0.0367779,
        0.0373317,
        0.0378419,
        0.0384825,
        0.0396722,
        0.0407253,
        0.0416245,
        0.0418937,
        0.0415226,
        0.0402769,
        0.0389063,
        0.0372818,
        0.0361578,
        0.0393626,
        0.0390633,
        0.0347844,
        0.0347789,
        0.0347103,
        0.0341101,
        0.0335851,
        0.0329891,
        0.0324427,
        0.0320907,
        0.0316132,
        0.0312434,
        0.031007,
        0.0345908,
        0.0347838,
        0.0307167,
        0.0304709,
        0.0304174,
        0.0302099,
        0.0300701,
        0.0305332,
        0.0308865,
        0.0306885,
        0.0298714,
        0.0305548,
        0.0304287,
        0.029794,
        0.0295626,
        0.0324463,
        0.0327351,
        0.0291657,
        0.0290134,
        0.0290589,
        0.0289366,
        0.0290731,
        0.0291311,
        0.0288944,
        0.0300302,
        0.0306313,
        0.028643,
        0.0283388,
        0.0286584,
        0.0288259,
        0.0293049,
        0.0295559,
        0.0290667,
        0.0313876,
        0.03054,
        0.0291835,
        0.029171,
        0.0290072,
        0.0289772,
        0.0292008,
        0.0293024,
        0.0293276,
        0.0292145,
        0.0290356,
        0.029156,
        0.0293685,
        0.0291903,
        0.0293303,
        0.029281,
        0.0292489,
        0.0320306,
        0.0317682,
        0.0304231,
        0.0302166,
        0.0305808,
        0.0311727,
        0.0315798,
        0.0322784,
        0.0330174,
        0.0341361,
        0.0357781,
        0.0376666,
        0.0394453,
        0.0418937,
        0.0415346,
        0.0385312,
        0.036493,
        0.0348034,
        0.0334958,
        0.0327059,
        0.0319057,
        0.0315011,
        0.0354676,
        0.0351884,
        0.0319719,
        0.0332236,
        0.0321565,
        0.0305225,
        0.0303231,
        0.0315201,
        0.0320892,
        0.0302617,
        0.03003,
        0.0299494,
        0.0299982,
        0.0300324,
        0.0303997,
        0.0305496,
        0.0305222,
        0.0308139,
        0.0311607,
        0.0333955,
        0.0336586,
        0.033117,
        0.0322573,
        0.0313418,
        0.0310461,
        0.0309501,
        0.0308605,
        0.0309912,
        0.0312925,
        0.0312845,
        0.0310215,
        0.0311428,
        0.0315026,
        0.0320023,
        0.0335521,
        0.034728,
        0.0334091,
        0.0333576,
        0.0338505,
        0.0341737,
        0.0340847,
        0.033976,
        0.0339046,
        0.0339868,
        0.0344073,
        0.0351537,
        0.0359445,
        0.0382756,
        0.0404897,
        0.0397213,
        0.0389458,
        0.0384851,
        0.0375442,
        0.0364437,
        0.0353567,
        0.0349639,
        0.0345377,
        0.0336571,
        0.0330312,
        0.0326531,
        0.0324533,
        0.0320283,
        0.0321304,
        0.0322822,
        0.032593,
        0.0325049,
        0.0322643,
        0.0323701,
        0.0322928,
        0.0325511,
        0.0324028,
        0.0323665,
        0.0325009,
        0.0327544,
        0.035005,
        0.0341964,
        0.03342,
        0.0332242,
        0.0328873,
        0.0331291,
        0.0333135,
        0.033829,
        0.0338657,
        0.0346795,
        0.0355608,
        0.0365429,
        0.0366829,
        0.0371241,
        0.0383299,
        0.039516,
        0.0407143,
        0.0423394,
        0.0445717,
        0.0559018,
        0.0613531,
        0.0600587,
        0.0690545,
        0.082497,
        0.103562,
        0.134847,
        0.174125,
        0.20842,
        0.162913,
        0.124667,
        0.0989862,
        0.0804131,
        0.0678699,
        0.0591283,
        0.0532729,
        0.0488898,
        0.0459633,
        0.0434736,
        0.0416095,
        0.0405198,
        0.0391906,
        0.0379547,
        0.0377621,
        0.0371304,
        0.0364736,
        0.0359128,
        0.0357383,
        0.0351317,
        0.0352468,
        0.035235,
        0.0347275,
        0.0343874,
        0.0344041,
        0.0339301,
        0.0334521,
        0.0335228,
        0.033574,
        0.0332531,
        0.0330131,
        0.0330144,
        0.0330279,
        0.0330247,
        0.0332029,
        0.0335635,
        0.0337905,
        0.0337284,
        0.0336345,
        0.0334824,
        0.0336731,
        0.0335383,
        0.0335127,
        0.0334617,
        0.033524,
        0.0340444,
        0.0339905,
        0.0344566,
        0.034845,
        0.0351293,
        0.0360757,
        0.0371028,
        0.0387904,
        0.0406382,
        0.0429891,
        0.0461331,
        0.0508779,
        0.0569594,
        0.0635069,
        0.0712085,
        0.0812573,
        0.0810057,
        0.0726207,
        0.0671259,
        0.0604239,
        0.0546433,
        0.0500559,
        0.046967,
        0.0442758,
        0.0419334,
        0.0407944,
        0.0397203,
        0.0387321,
        0.0381426,
        0.04056,
        0.0388903,
        0.0375597,
        0.037748,
        0.0380504,
        0.0379927,
        0.0379182,
        0.038373,
        0.0382465,
        0.0380191,
        0.0386346,
        0.0388529,
        0.0389967,
        0.0395272,
        0.0394808,
        0.0390322,
        0.0381513,
        0.0375696,
        0.0372288,
        0.0370334,
        0.0370814,
        0.0371901,
        0.0370713,
        0.0370717,
        0.041323,
        0.044611,
        0.0400245,
        0.0416522,
        0.0433858,
        0.0449685,
        0.0465254,
        0.0460454,
        0.044721,
        0.0444633,
        0.0420708,
        0.0395359,
        0.0383955,
        0.0376603,
        0.0378825,
        0.0419012,
        0.0415549,
        0.0356998,
        0.0359675,
        0.0356792,
        0.0359721,
        0.0359494,
        0.0382643,
        0.0416261,
        0.0392483,
        0.036223,
        0.0369714,
        0.037133,
        0.0373446,
        0.0377482,
        0.0381915,
        0.0386455,
        0.0389236,
        0.0389756,
        0.0393295,
        0.0402837,
        0.040638,
        0.0406802,
        0.0410493,
        0.0416377,
        0.0422521,
        0.0429486,
        0.0435426,
        0.0446803,
        0.0459099,
        0.0467755,
        0.0482296,
        0.0521952,
        0.0547683,
        0.0530144,
        0.0553815,
        0.0574198,
        0.0603007,
        0.0636697,
        0.0676785,
        0.0731212,
        0.0799131,
        0.0894726,
        0.100015,
        0.114981,
        0.140294,
        0.17361,
        0.177656,
        0.153999,
        0.136641,
        0.123895,
        0.118293,
        0.117807,
        0.119989,
        0.12144,
        0.156199,
        0.182416,
        0.161953,
        0.132628,
        0.11206,
        0.100609,
        0.0909284,
        0.0836803,
        0.0788511,
        0.0797658,
        0.0771667,
        0.0755845,
        0.0742981,
        0.0718938,
        0.0687152,
        0.0643527,
        0.0594321,
        0.0539882,
        0.051387,
        0.049779,
        0.0479396,
        0.0466961,
        0.0454367,
        0.0445797,
        0.0443072,
        0.0445447,
        0.0448926,
        0.0443084,
        0.0440419,
        0.0440594,
        0.0460121,
        0.045642,
        0.0417563,
        0.0407041,
        0.0398266,
        0.0392984,
        0.0387144,
        0.0382511,
        0.0380754,
        0.0377207,
        0.0375616,
        0.0372702,
        0.0375461,
        0.0373892,
        0.0371879,
        0.0368729,
        0.0368048,
        0.0365478,
        0.0369433,
        0.0368778,
        0.0367491,
        0.0367252,
        0.037015,
        0.0368101,
        0.0374325,
        0.037547,
        0.0374644,
        0.0373056,
        0.0369473,
        0.0368088,
        0.0364157,
        0.0363999,
        0.036795,
        0.0363421,
        0.0362509,
        0.0363769,
        0.0364833,
        0.0360805,
        0.036172,
        0.0362518,
        0.0363406,
        0.0362417,
        0.035895,
        0.0363242,
        0.0366707,
        0.0400982,
        0.0399567,
        0.0362112,
        0.0362895,
        0.0365022,
        0.036188,
        0.036165,
        0.0358738,
        0.039858,
        0.0396447,
        0.0360464,
        0.0361614,
        0.0363197,
        0.036754,
        0.0371792,
        0.0373071,
        0.0359823,
        0.0363752,
        0.0365087,
        0.0356546,
        0.0360967,
        0.0361989,
        0.0365551,
        0.0365956,
        0.0366596,
        0.0369637,
        0.0375464,
        0.0392528,
        0.0392589,
        0.0388466,
        0.0395843,
        0.0412119,
        0.0418497,
        0.043152,
        0.0444193,
        0.0464608,
        0.0492223,
        0.049784,
        0.0503657,
        0.0509103,
        0.0513057,
        0.0510463,
        0.0496953,
        0.0479536,
        0.0466767,
        0.0462567,
        0.0456443,
        0.0455157,
        0.046954,
        0.04859,
        0.0496406,
        0.0504415,
        0.0506201,
        0.0493738,
        0.0469831,
        0.0450597,
        0.0435649,
        0.0424182,
        0.0418518,
        0.0410216,
        0.04049,
        0.0403929,
        0.0402775,
        0.0399663,
        0.0400186,
        0.0388799,
        0.0396539,
        0.0377723,
        0.0379114,
        0.0379155,
        0.0378614,
        0.0377926,
        0.037878,
        0.0380786,
        0.0379107,
        0.0374291,
        0.0373071,
        0.0371605,
        0.0368414,
        0.0371309,
        0.0435158,
        0.0416549,
        0.0366766,
        0.0361676,
        0.0363577,
        0.0361566,
        0.0361364,
        0.0361859,
        0.0361293,
        0.0359581,
        0.0357593,
        0.0360435,
        0.0361404,
        0.0362396,
        0.0362503,
        0.0362208,
        0.0368248,
        0.0384437,
        0.0420482,
        0.0416334,
        0.0382447,
        0.0391293,
        0.0396914,
        0.039705,
        0.0399656,
        0.0396448,
        0.0392997,
        0.0392328,
        0.0394346,
        0.0387758,
        0.0385425,
        0.0384517,
        0.0385316,
        0.0388279,
        0.0392227,
        0.0390106,
        0.0390603,
        0.039771,
        0.0400981,
        0.0407028,
        0.0412929,
        0.0410674,
        0.0422438,
        0.0422142,
        0.0416625,
        0.0406617,
        0.0424179,
        0.0421044,
        0.0395446,
        0.0393787,
        0.0390911,
        0.0386966,
        0.0384503,
        0.0383189,
        0.0376311,
        0.0372921,
        0.0374461,
        0.0377275,
        0.0374223,
        0.0373751,
        0.0374768,
        0.037721,
        0.0374741,
        0.0373829,
        0.0423935,
        0.0425403,
        0.037261,
        0.0371245,
        0.0368804,
        0.0365088,
        0.0362258,
        0.0362791,
        0.0371982,
        0.0408405,
        0.0401442,
        0.0370034,
        0.036903,
        0.0372625,
        0.037601,
        0.0379754,
        0.0392153,
        0.039797,
        0.0411751,
        0.042353,
        0.043827,
        0.0456722,
        0.0475647,
        0.0496062,
        0.0491292,
        0.0534585,
        0.0543804,
        0.0444401,
        0.042928,
        0.0417026,
        0.0414915,
        0.0411175,
        0.0406763,
        0.0400042,
        0.0399221,
        0.042688,
        0.0430411,
        0.0397085,
        0.0393761,
        0.0392802,
        0.0392288,
        0.0389599,
        0.0391081,
        0.0391705,
        0.0389492,
        0.0391527,
        0.039148,
        0.0392682,
        0.0392428,
        0.0437898,
        0.044047,
        0.0389495,
        0.0391926,
        0.0391633,
        0.0391716,
        0.0434045,
        0.0446827,
        0.0395439,
        0.0405115,
        0.0420708,
        0.0390608,
        0.0387569,
        0.0387615,
        0.0382717,
        0.0382668,
        0.0383188,
        0.03833,
        0.0385356,
        0.0389418,
        0.0392629,
        0.0395526,
        0.0397056,
        0.0397982,
        0.0399865,
        0.0398848,
        0.0394478,
        0.0391863,
        0.0389418,
        0.0436084,
        0.0578446,
        0.0551784,
        0.0389065,
        0.0388022,
        0.0383727,
        0.0383191,
        0.0384174,
        0.0387778,
        0.0399876,
        0.0407805,
        0.0389403,
        0.0388632,
        0.0400148,
        0.0398214,
        0.0396056,
        0.040055,
        0.0402489,
        0.0403319,
        0.0404882,
        0.0403861,
        0.0405419,
        0.0401584,
        0.0402432,
        0.0404909,
        0.0405656,
        0.0411717,
        0.0419828,
        0.0417926,
        0.0473165,
        0.0469947,
        0.0420323,
        0.0423446,
        0.0425738,
        0.0427557,
        0.0418919,
        0.0416643,
        0.04147,
        0.0412595,
        0.0415487,
        0.0417437,
        0.0414924,
        0.0410748,
        0.0409134,
        0.040853,
        0.0410483,
        0.041645,
        0.0417088,
        0.0414564,
        0.0416645,
        0.0424164,
        0.0428089,
        0.0431048,
        0.0430693,
        0.0437452,
        0.0523321,
        0.0494422,
        0.0456155,
        0.0471926,
        0.0481702,
        0.050706,
        0.0524639,
        0.0540585,
        0.0555465,
        0.0547041,
        0.053113,
        0.051692,
        0.0504655,
        0.0489697,
        0.0487463,
        0.0483866,
        0.0487138,
        0.0494581,
        0.0501156,
        0.0499431,
        0.0503758,
        0.0500329,
        0.0499931,
        0.0501256,
        0.0512568,
        0.0518939,
        0.0533184,
        0.0549167,
        0.0572112,
        0.0569618,
        0.0581896,
        0.0603723,
        0.0619451,
        0.065262,
        0.067759,
        0.0713953,
        0.0737888,
        0.0824528,
        0.0966944,
        0.0943092,
        0.103786,
        0.117856,
        0.138297,
        0.166238,
        0.193206,
        0.157961,
        0.131754,
        0.117205,
        0.104648,
        0.0958133,
        0.0886321,
        0.0831597,
        0.079156,
        0.074967,
        0.0726811,
        0.0704746,
        0.0689172,
        0.0669411,
        0.0651079,
        0.0631426,
        0.0618049,
        0.0606926,
        0.0602812,
        0.0584917,
        0.056666,
        0.0558965,
        0.0552036,
        0.054252,
        0.0534458,
        0.0531159,
        0.0531823,
        0.0524049,
        0.0510853,
        0.0509229,
        0.0508511,
        0.0500248,
        0.0492137,
        0.0493996,
        0.0493828,
        0.049857,
        0.0493917,
        0.0494599,
        0.0491978,
        0.0489477,
        0.0487929,
        0.0484951,
        0.0484016,
        0.048256,
        0.0505785,
        0.0506685,
        0.0476639,
        0.0471619,
        0.0468469,
        0.0467339,
        0.0467639,
        0.0467011,
        0.0462125,
        0.0521474,
        0.0562052,
        0.0483961,
        0.0480654,
        0.0480146,
        0.0484964,
        0.0492012,
        0.0502546,
        0.051575,
        0.0535211,
        0.0554284,
        0.0583125,
        0.0595203,
        0.0699101,
        0.0671404,
        0.0572108,
        0.054751,
        0.0531488,
        0.0513764,
        0.0502059,
        0.0492346,
        0.0623161,
        0.0615331,
        0.0494463,
        0.0475166,
        0.0471927,
        0.0472492,
        0.0474161,
        0.0482669,
        0.0464508,
        0.0470305,
        0.0469239,
        0.0470292,
        0.0466575,
        0.0468339,
        0.0471711,
        0.0475249,
        0.0485283,
        0.0487199,
        0.0483953,
        0.0478863,
        0.0480087,
        0.0481371,
        0.0478933,
        0.0476682,
        0.0500419,
        0.0546106,
        0.048481,
        0.0477684,
        0.0474474,
        0.0480159,
        0.0484733,
        0.0480325,
        0.0485382,
        0.0508646,
        0.0517995,
        0.0479445,
        0.0475768,
        0.0495755,
        0.0590244,
        0.0559136,
        0.0481432,
        0.0482719,
        0.0480247,
        0.0483268,
        0.0485889,
        null,
        0.0395638,
        0.0397228,
        0.039968,
        0.0407499,
        0.0410756,
        0.0408787,
        0.0412264,
        0.0417255,
        0.0425836,
        0.0438931,
        0.0456239,
        0.0485244,
        0.0491617,
        0.0479112,
        0.0469095,
        0.0455445,
        0.0439872,
        0.042683,
        0.0416519,
        0.0405762,
        0.0397737,
        0.0390236,
        0.0384559,
        0.0381069,
        0.0378397,
        0.0376043,
        0.0373983,
        0.0371228,
        0.0370291,
        0.0370846,
        0.0370424,
        0.0369552,
        0.0368462,
        0.0368212,
        0.036992,
        0.0370075,
        0.0369669,
        0.0373958,
        0.03766,
        0.037828,
        0.0376709,
        0.0376996,
        0.0376761,
        0.0388113,
        0.0388509,
        0.037613,
        0.0375662,
        0.0376008,
        0.0377457,
        0.0378099,
        0.0378382,
        0.0379232,
        0.0380987,
        0.0380958,
        0.0380386,
        0.0383152,
        0.0384712,
        0.0385794,
        0.0386741,
        0.0388573,
        0.0387004,
        0.038877,
        0.0391916,
        0.0390008,
        0.0389669,
        0.0388137,
        0.0387069,
        0.0387426,
        0.0389781,
        0.0391722,
        0.0394469,
        0.0397006,
        0.0395218,
        0.0394032,
        0.0393841,
        0.0394461,
        0.0394204,
        0.0395393,
        0.0397351,
        0.0398384,
        0.0398413,
        0.0400298,
        0.0403856,
        0.0405089,
        0.0407432,
        0.0409123,
        0.041144,
        0.0412272,
        0.0411136,
        0.0455599,
        0.0452785,
        0.0409432,
        0.0410052,
        0.0409444,
        0.040938,
        0.0410957,
        0.0411171,
        0.0410632,
        0.0413733,
        0.041955,
        0.0426019,
        0.0431934,
        0.0451156,
        0.0457972,
        0.0449501,
        0.0459222,
        0.0471104,
        0.0487829,
        0.0502165,
        0.051985,
        0.0544403,
        0.057573,
        0.061117,
        0.0654208,
        0.0708684,
        0.0783331,
        0.0868279,
        0.0956615,
        0.102913,
        0.108247,
        0.115384,
        0.128654,
        0.148004,
        0.20956,
        0.136789,
        0.110345,
        0.0928255,
        0.0819703,
        0.0732095,
        0.0669486,
        0.0616104,
        0.0577298,
        0.0546301,
        0.0511999,
        0.048998,
        0.0472479,
        0.0457801,
        0.0448386,
        0.0441874,
        0.0434287,
        0.0437585,
        0.0438698,
        0.0422367,
        0.0414901,
        0.0410694,
        0.0407642,
        0.0400516,
        0.0393474,
        0.0387405,
        0.0382791,
        0.0379435,
        0.0379354,
        0.0377824,
        0.0378482,
        0.0375158,
        0.0370876,
        0.0371561,
        0.0370149,
        0.0367569,
        0.0367191,
        0.0366991,
        0.0365505,
        0.0364331,
        0.0378117,
        0.0371836,
        0.0362594,
        0.0361782,
        0.0362417,
        0.0361709,
        0.0360677,
        0.0360456,
        0.0360227,
        0.0358119,
        0.0354625,
        0.0351722,
        0.0350325,
        0.0350897,
        0.0349145,
        0.0345676,
        0.0344839,
        0.0345856,
        0.0345231,
        0.0343259,
        0.0343188,
        0.0340816,
        0.0338733,
        0.0338244,
        0.0339127,
        0.0339613,
        0.0340273,
        0.0341069,
        0.0344091,
        0.0345647,
        0.0346632,
        0.0347734,
        0.0349925,
        0.0350501,
        0.0348493,
        0.0347084,
        0.0357943,
        0.0358464,
        0.0353307,
        0.0355864,
        0.0360236,
        0.0364365,
        0.0371144,
        0.0381239,
        0.0410528,
        0.0468013,
        0.0455206,
        0.0410184,
        0.0434968,
        0.042856,
        0.0383783,
        0.0373708,
        0.0367723,
        0.0363,
        0.0359444,
        0.0357053,
        0.035428,
        0.0352657,
        0.0350265,
        0.0348745,
        0.0346999,
        0.0347615,
        0.0347811,
        0.0345796,
        0.0343357,
        0.0399832,
        0.039855,
        0.0339277,
        0.0344194,
        0.0345617,
        0.0338779,
        0.0339686,
        0.0340211,
        0.0344763,
        0.0346178,
        0.0344744,
        0.0343964,
        0.034201,
        0.0340458,
        0.0337031,
        0.0333197,
        0.033288,
        0.0331644,
        0.0339135,
        0.0344397,
        0.0330391,
        0.0329318,
        0.0328812,
        0.0330658,
        0.033255,
        0.0332024,
        0.0332601,
        0.0334242,
        0.0335017,
        0.0336275,
        0.0337053,
        0.0341253,
        0.0342673,
        0.0338433,
        0.0349636,
        0.0352145,
        0.0341711,
        0.0341522,
        0.0356599,
        0.0350504,
        0.0357292,
        0.0357085,
        0.0342238,
        0.0343427,
        0.0386548,
        0.0389229,
        0.034595,
        0.0347273,
        0.0346964,
        0.034728,
        0.0347154,
        0.0345157,
        0.0349081,
        0.0355301,
        0.034986,
        0.0344197,
        0.0344527,
        0.0346657,
        0.0349033,
        0.037499,
        0.0378904,
        0.0354845,
        0.0352941,
        0.0352594,
        0.0389616,
        0.0386728,
        0.0349307,
        0.034973,
        0.0351352,
        0.0351628,
        0.0365775,
        0.0366766,
        0.0356472,
        0.0360248,
        0.0364587,
        0.0369756,
        0.037125,
        0.037462,
        0.0380572,
        0.0388246,
        0.0398648,
        0.0408901,
        0.0419916,
        0.0433414,
        0.0451741,
        0.0473612,
        0.0496111,
        0.0523689,
        0.0557161,
        0.0591586,
        0.0615365,
        0.0634173,
        0.0662078,
        0.0707736,
        0.0776362,
        0.085968,
        0.0977687,
        0.114284,
        0.141022,
        0.182778,
        0.138813,
        0.113019,
        0.0956341,
        0.0827272,
        0.0728168,
        0.0658249,
        0.0608598,
        0.057249,
        0.0537791,
        0.0512428,
        0.0488246,
        0.0461523,
        0.044599,
        0.0437112,
        0.0423501,
        0.0406493,
        0.0400278,
        0.0391876,
        0.0390169,
        0.0380521,
        0.0377572,
        0.0372409,
        0.0366143,
        0.0363631,
        0.0360626,
        0.036339,
        0.0363121,
        0.0358421,
        0.035574,
        0.0356699,
        0.0356794,
        0.0353666,
        0.0351149,
        0.0347861,
        0.0344794,
        0.0340435,
        0.0339846,
        0.0339029,
        0.0338546,
        0.0341583,
        0.0340468,
        0.0340669,
        0.0342928,
        0.0343148,
        0.0342794,
        0.0343468,
        0.0341338,
        0.035473,
        0.0349115,
        0.0341973,
        0.0339493,
        0.0338228,
        0.0338543,
        0.0337312,
        0.0335818,
        0.0332789,
        0.033198,
        0.0330971,
        0.0330332,
        0.0330719,
        0.0329177,
        0.032888,
        0.0327813,
        0.0327028,
        0.0326855,
        0.0326192,
        0.032566,
        0.0323993,
        0.0323359,
        0.0324766,
        0.0325295,
        0.0325613,
        0.032579,
        0.032691,
        0.0325771,
        0.0324362,
        0.0321361,
        0.0321153,
        0.032365,
        0.0323177,
        0.0343696,
        0.0351154,
        0.0329377,
        0.0339241,
        0.0361866,
        0.0370276,
        0.036382,
        0.0362892,
        0.0360311,
        0.035295,
        0.0347735,
        0.0341496,
        0.033673,
        0.0332643,
        0.0331169,
        0.0329081,
        0.0328504,
        0.0330482,
        0.0330028,
        0.0330353,
        0.0332208,
        0.0333041,
        0.0333527,
        0.0333017,
        0.0331382,
        0.0331657,
        0.0333076,
        0.0332921,
        0.0333148,
        0.0333444,
        0.0334848,
        0.0335855,
        0.0335634,
        0.0334243,
        0.0335048,
        0.0336856,
        0.0335007,
        0.0335661,
        0.033664,
        0.0337468,
        0.0337243,
        0.0340299,
        0.0344442,
        0.034525,
        0.0345518,
        0.0348355,
        0.0350796,
        0.0356073,
        0.0359404,
        0.0363707,
        0.0367337,
        0.0371861,
        0.0380993,
        0.0393149,
        0.0402608,
        0.0416505,
        0.0430296,
        0.0450831,
        0.0460921,
        0.0475667,
        0.0486102,
        0.049156,
        0.0489218,
        0.0484402,
        0.0471481,
        0.048421,
        0.0542577,
        0.0521684,
        0.0459499,
        0.0431543,
        0.0401795,
        0.0399211,
        0.0399681,
        0.0400761,
        0.0400747,
        0.040428,
        0.0410015,
        0.041722,
        0.0424084,
        0.0433111,
        0.0443118,
        0.0456958,
        0.0473751,
        0.0492929,
        0.0517615,
        0.0550304,
        0.0590984,
        0.0647453,
        0.071667,
        0.0824329,
        0.0973806,
        0.118528,
        0.407601,
        0.266405,
        0.182194,
        0.133751,
        0.104534,
        0.0867652,
        0.0743256,
        0.0655472,
        0.0597517,
        0.054399,
        0.051449,
        0.0523549,
        0.0505082,
        0.0457681,
        0.0450402,
        0.0446025,
        0.0444288,
        0.0436595,
        0.042629,
        0.0409531,
        0.0393835,
        0.0381535,
        0.0373577,
        0.0364728,
        0.0359162,
        0.0402937,
        0.0406768,
        0.0344016,
        0.0341187,
        0.0345143,
        0.034549,
        0.0346389,
        0.034394,
        0.0345487,
        0.0346507,
        0.0341707,
        0.0340042,
        0.0338688,
        0.0338761,
        0.0338334,
        0.0357355,
        0.0358786,
        0.0334013,
        0.033735,
        0.0338802,
        0.0339048,
        0.0339294,
        0.0338762,
        0.0336837,
        0.0336472,
        0.0369967,
        0.0363582,
        0.0348014,
        0.0345043,
        0.0343564,
        0.0341215,
        0.0343357,
        0.0337456,
        0.0331262,
        0.0328067,
        0.0324697,
        0.0322215,
        0.032122,
        0.0332811,
        0.0333186,
        0.0314641,
        0.0366767,
        0.0364662,
        0.03135,
        0.0334326,
        0.0341978,
        0.0316681,
        0.0312651,
        0.0313263,
        0.0313133,
        0.0310152,
        0.0310596,
        0.0309457,
        0.0310026,
        0.0311729,
        0.0313114,
        0.0312654,
        0.0313254,
        0.0313807,
        0.0314747,
        0.031399,
        0.0315844,
        0.0317407,
        0.0318601,
        0.0321116,
        0.032326,
        0.032363,
        0.0325413,
        0.0325198,
        0.0325756,
        0.0328987,
        0.0334675,
        0.0330855,
        0.0328405,
        0.0328345,
        0.0326754,
        0.0325332,
        0.0328073,
        0.03297,
        0.033967,
        0.0337044,
        0.0327058,
        0.0329064,
        0.0327135,
        0.0326662,
        0.0327312,
        0.0333784,
        0.0334547,
        0.0329756,
        0.0329818,
        0.0329951,
        0.0328269,
        0.0329283,
        0.0330066,
        0.0331511,
        0.0327256,
        0.0325775,
        0.0326786,
        0.0326433,
        0.0328073,
        0.0332731,
        0.0336416,
        0.0383624,
        0.0392247,
        0.0353599,
        0.035982,
        0.0360133,
        0.0356,
        0.0349797,
        0.0341312,
        0.0338927,
        0.033227,
        0.0328211,
        0.0326129,
        0.0324555,
        0.0323889,
        0.0323309,
        0.0324158,
        0.0326156,
        0.0329343,
        0.0341042,
        0.0340304,
        0.0326127,
        0.032704,
        0.0328879,
        0.0329349,
        0.0338378,
        0.0336942,
        0.0333979,
        0.033352,
        0.0335467,
        0.0339134,
        0.0340285,
        0.0339882,
        0.0339562,
        0.0342219,
        0.0341134,
        0.0342519,
        0.0343901,
        0.034301,
        0.0344403,
        0.0346169,
        0.0344851,
        0.0344352,
        0.0344908,
        0.034415,
        0.0344364,
        0.0346267,
        0.0345002,
        0.0345653,
        0.0344887,
        0.0351598,
        0.035212,
        0.0349887,
        0.0350473,
        0.0353152,
        0.0356003,
        0.0360589,
        0.0362018,
        0.0369423,
        0.0374858,
        0.0379058,
        0.0383052,
        0.0384321,
        0.0383541,
        0.0379906,
        0.0371031,
        0.0367943,
        0.0362047,
        0.0350018,
        0.0344735,
        0.0341873,
        0.0365521,
        0.0368203,
        0.0338801,
        0.0336688,
        0.0338503,
        0.0338572,
        0.0330926,
        0.0328264,
        0.0330869,
        0.0335616,
        0.0325956,
        0.0331315,
        0.0336704,
        0.0325765,
        0.0325871,
        0.0324333,
        0.0325403,
        0.0326839,
        0.0329841,
        0.0328937,
        0.0330846,
        0.0334434,
        0.0345248,
        0.0346285,
        0.0339229,
        0.0339519,
        0.0341349,
        0.0342645,
        0.0341676,
        0.0343743,
        0.0342933,
        0.0342889,
        0.0342845,
        0.034406,
        0.0345571,
        0.0348629,
        0.0347039,
        0.0346882,
        0.0348323,
        0.0348291,
        0.0353495,
        0.0356014,
        0.0349026,
        0.0359713,
        0.0378872,
        0.0377252,
        0.0360852,
        0.0368949,
        0.0375439,
        0.0375447,
        0.0369867,
        0.0365473,
        0.0357451,
        0.0351089,
        0.0347601,
        0.0347055,
        0.0345513,
        0.0344955,
        0.034671,
        0.034679,
        0.0348439,
        0.0350298,
        0.0351409,
        0.0352872,
        0.0355601,
        0.0360798,
        0.0362767,
        0.0369717,
        0.0375852,
        0.0383261,
        0.039174,
        0.0405895,
        0.0424489,
        0.0445073,
        0.046595,
        0.049031,
        0.0512519,
        0.0525696,
        0.0616094,
        0.0607962,
        0.0506137,
        0.0488087,
        0.0464101,
        0.0446638,
        0.0429803,
        0.0420475,
        0.0414738,
        0.043656,
        0.042946,
        0.0411197,
        0.0414775,
        0.041815,
        0.0422519,
        0.0431535,
        0.0435126,
        0.0438089,
        0.043695,
        0.0430775,
        0.045271,
        0.0443573,
        0.0409845,
        0.0401598,
        0.0388363,
        0.0374637,
        0.0375606,
        0.0370755,
        0.0354049,
        0.0349898,
        0.0348908,
        0.0346371,
        0.0345081,
        0.0341762,
        0.0338649,
        0.0336584,
        0.0335785,
        0.0334059,
        0.0329962,
        0.033097,
        0.0328727,
        0.0327284,
        0.0327073,
        0.0332411,
        0.0330215,
        0.0329999,
        0.03295,
        0.0326189,
        0.0327712,
        0.033229,
        0.0329916,
        0.0333059,
        0.0330857,
        0.0329369,
        0.0327962,
        0.0330217,
        0.0341683,
        0.0346874,
        0.0334844,
        0.0339755,
        0.0338242,
        0.0336554,
        0.0392531,
        0.0393108,
        0.0340877,
        0.0341817,
        0.034157,
        0.0344664,
        0.0348534,
        0.0350141,
        0.0351597,
        0.0355694,
        0.0359574,
        0.0384635,
        0.0380239,
        0.0361209,
        0.036174,
        0.0362563,
        0.0385993,
        0.038025,
        0.0370003,
        0.037947,
        0.0384733,
        0.0391347,
        0.0399465,
        0.0412495,
        0.0429275,
        0.0444144,
        0.0454101,
        0.0465254,
        0.0474237,
        0.0486467,
        0.0501487,
        0.0524696,
        0.0552586,
        0.058391,
        0.062227,
        0.0746376,
        0.0835058,
        0.0876469,
        0.10334,
        0.12775,
        0.162767,
        0.213767,
        0.350799,
        0.2871,
        0.224465,
        0.176572,
        0.142051,
        0.114712,
        0.09604,
        0.0826492,
        0.0661287,
        0.0608877,
        0.0566662,
        0.058004,
        0.0573663,
        0.0504047,
        0.0491381,
        0.0487208,
        0.047943,
        0.0480898,
        0.048418,
        0.0489899,
        0.0498896,
        0.0523542,
        0.0534087,
        0.0540394,
        0.0560661,
        0.0600564,
        0.0622386,
        0.0680061,
        0.0762236,
        0.0886398,
        0.106426,
        0.136515,
        0.185546,
        0.15422,
        0.117566,
        0.0947121,
        0.0782487,
        0.0664511,
        0.0586811,
        0.0533392,
        0.0496091,
        0.0463885,
        0.0440556,
        0.0422093,
        0.0406147,
        0.0390724,
        0.0378153,
        0.0368078,
        0.0359245,
        0.0353179,
        0.034872,
        0.0346594,
        0.0339073,
        0.0336689,
        0.0340674,
        0.0340527,
        0.0334031,
        0.0332423,
        0.0330489,
        0.0327925,
        0.0329312,
        0.0328561,
        0.0329573,
        0.0328613,
        0.0327281,
        0.0350146,
        0.0350009,
        0.0327932,
        0.0324446,
        0.0323971,
        0.0321747,
        0.0322182,
        0.0324409,
        0.033261,
        0.0332528,
        0.0323854,
        0.0327198,
        0.0325803,
        0.0324326,
        0.0319637,
        0.0325866,
        0.0323113,
        0.0323059,
        0.0323542,
        0.0321526,
        0.0321396,
        0.0320488,
        0.0321706,
        0.0319222,
        0.0321625,
        0.0324128,
        0.0328392,
        0.0329899,
        0.0374932,
        0.0356587,
        0.0334555,
        0.0330352,
        0.0323409,
        0.0317543,
        0.0315017,
        0.0312356,
        0.0308616,
        0.0318861,
        0.0328065,
        0.030609,
        0.0304717,
        0.0305661,
        0.0304741,
        0.0303787,
        0.0303751,
        0.0303401,
        0.0301643,
        0.0300188,
        0.0351154,
        0.0331749,
        0.0304858,
        0.0304525,
        0.0306364,
        0.0308235,
        0.0346589,
        0.0349065,
        0.0310933,
        0.0312222,
        0.0316954,
        0.0312092,
        0.0314675,
        0.0315307,
        0.0315734,
        0.0317847,
        0.0317244,
        0.0319044,
        0.0321366,
        0.0324756,
        0.0323031,
        0.0322484,
        0.0323234,
        0.0324706,
        0.0336178,
        0.0330383,
        0.0327178,
        0.0327749,
        0.0329561,
        0.0331552,
        0.0333524,
        0.0332838,
        0.0337107,
        0.0336792,
        0.0333143,
        0.0331522,
        0.0331206,
        0.0331139,
        0.0329142,
        0.0326939,
        0.0327753,
        0.032643,
        0.0325878,
        0.0324203,
        0.0324155,
        0.0324856,
        0.0325631,
        0.0325887,
        0.0326782,
        0.0329487,
        0.0329576,
        0.0328798,
        0.0343845,
        0.0347248,
        0.0331457,
        0.0337292,
        0.0340639,
        0.0343166,
        0.0344492,
        0.0348239,
        0.0349388,
        0.0354742,
        0.0357075,
        0.0361074,
        0.0369115,
        0.037699,
        0.0388525,
        0.039809,
        0.0426431,
        0.0427401,
        0.0436731,
        0.0457265,
        0.0490188,
        0.0510427,
        0.0514202,
        0.0532569,
        0.054708,
        0.0561741,
        0.0569292,
        0.0574708,
        0.0583269,
        0.0591877,
        0.0603097,
        0.0622841,
        0.0650902,
        0.0681096,
        0.0719741,
        0.0775955,
        0.08593,
        0.0967268,
        0.110208,
        0.172293,
        0.145473,
        0.118946,
        0.101824,
        0.0895874,
        0.0807033,
        0.0725261,
        0.0662383,
        0.0611306,
        0.0575137,
        0.0542951,
        0.0517634,
        0.0494347,
        0.0477562,
        0.0466292,
        0.0458496,
        0.0443295,
        0.0432639,
        0.0427002,
        0.0417479,
        0.0405468,
        0.0423233,
        0.0415398,
        0.0386267,
        0.0381631,
        0.038137,
        0.0379151,
        0.0375946,
        0.0375301,
        0.0375032,
        0.0370563,
        0.0368739,
        0.036504,
        0.0363076,
        0.0363938,
        0.0362728,
        0.0362547,
        0.0360924,
        0.0356906,
        0.0360582,
        0.0362229,
        0.0365296,
        0.0367831,
        0.0360281,
        0.0357901,
        0.0356784,
        0.0359345,
        0.0360633,
        0.036001,
        0.035958,
        0.0358906,
        0.0358352,
        0.0362809,
        0.036316,
        0.0366357,
        0.0369927,
        0.037086,
        0.0374431,
        0.0380645,
        0.0386364,
        0.0395564,
        0.0403188,
        0.0415335,
        0.0431246,
        0.0448626,
        0.0525974,
        0.0555037,
        0.0530673,
        0.0543348,
        0.052914,
        0.0526888,
        0.0518888,
        0.0509406,
        0.0494421,
        0.0475636,
        0.0455838,
        0.0438419,
        0.0425572,
        0.041419,
        0.0409656,
        0.0399824,
        0.039072,
        0.0386317,
        0.0405046,
        0.0396333,
        0.0370519,
        0.0361775,
        0.0358033,
        0.0353209,
        0.0350014,
        0.0351907,
        0.0351674,
        0.0385922,
        0.0384052,
        0.0338181,
        0.0337135,
        0.033613,
        0.0338998,
        0.0337398,
        0.0336633,
        0.0334688,
        0.0346244,
        0.0340811,
        0.0338548,
        0.03398,
        0.0339684,
        0.0337588,
        0.0336834,
        0.0337082,
        0.0338065,
        0.0338541,
        0.0340715,
        0.0340464,
        0.0342952,
        0.0350174,
        0.03467,
        0.0354466,
        0.0347143,
        0.0380556,
        0.041208,
        0.0379938,
        0.0341321,
        0.0330168,
        0.0329695,
        0.0333055,
        0.0327053,
        0.0323839,
        0.0319695,
        0.0319829,
        0.0315407,
        0.0318659,
        0.0317931,
        0.031927,
        0.0319958,
        0.0321197,
        0.0319797,
        0.0315118,
        0.0316093,
        0.0315502,
        0.0318308,
        0.0317177,
        0.0329022,
        0.0324678,
        0.0321618,
        0.0320169,
        0.0322926,
        0.0325338,
        0.0324047,
        0.0322251,
        0.0322532,
        0.0323168,
        0.0328874,
        0.0333386,
        0.0328313,
        0.0333041,
        0.0333139,
        0.0338869,
        0.03449,
        0.0350086,
        0.0353023,
        0.0356525,
        0.035897,
        0.0354272,
        0.035143,
        0.0343979,
        0.0340247,
        0.0339015,
        0.0342069,
        0.0340853,
        0.0340367,
        0.033874,
        0.0338232,
        0.0332854,
        0.0332608,
        0.0331157,
        0.0330649,
        0.032799,
        0.0334447,
        0.0334271,
        0.033406,
        0.0335912,
        0.0336491,
        0.0330504,
        0.0333007,
        0.0333236,
        0.033167,
        0.0330436,
        0.0332755,
        0.0341673,
        0.0328919,
        0.0322209,
        0.0321241,
        0.032178,
        0.032194,
        0.0318967,
        0.0321094,
        0.0319029,
        0.0317763,
        0.0317143,
        0.0317065,
        0.0318097,
        0.031964,
        0.0321695,
        0.0318883,
        0.0320438,
        0.032241,
        0.032178,
        0.0323078,
        0.0319858,
        0.0322611,
        0.0362123,
        0.0353229,
        0.0344898,
        0.0346259,
        0.0325883,
        0.0326812,
        0.0327961,
        0.0329468,
        0.0328993,
        0.0330956,
        0.0332136,
        0.0331974,
        0.0334418,
        0.0337251,
        0.0340326,
        0.0338641,
        0.0335819,
        0.033557,
        0.0336984,
        0.0337358,
        0.0340126,
        0.0342021,
        0.0340208,
        0.0340153,
        0.0344363,
        0.0350254,
        0.0412855,
        0.0494197,
        0.0379143,
        0.0351184,
        0.0349366,
        0.0352739,
        0.0354834,
        0.0353781,
        0.0350489,
        0.0363473,
        0.0350155,
        0.0341516,
        0.0339188,
        0.033974,
        0.0337035,
        0.0335412,
        0.0333666,
        0.0333437,
        0.0331451,
        0.033099,
        0.0330582,
        0.0328594,
        0.0329188,
        0.032878,
        0.0328764,
        0.0330345,
        0.0330398,
        0.0327755,
        0.0326848,
        0.032848,
        0.0327184,
        0.0327079,
        0.0328389,
        0.0328267,
        0.0352157,
        0.0353074,
        0.03315,
        0.0334879,
        0.0334055,
        0.0335692,
        0.0334767,
        0.0334857,
        0.0335815,
        0.0333813,
        0.033433,
        0.0337772,
        0.0336147,
        0.0348209,
        0.0350293,
        0.0338267,
        0.0392847,
        0.0435416,
        0.0367654,
        0.034576,
        0.0345343,
        0.0343483,
        0.0346614,
        0.0346737,
        0.0347284,
        0.0349467,
        0.0350983,
        0.0348365,
        0.0346366,
        0.0344595,
        0.0343998,
        0.0345992,
        0.0349293,
        0.0348477,
        0.034513,
        0.0344058,
        0.0344295,
        0.0344147,
        0.0397218,
        0.0378249,
        0.033924,
        0.0339725,
        0.0338515,
        0.0338268,
        0.0336866,
        0.0335863,
        0.03383,
        0.034154,
        0.0348655,
        0.0341928,
        0.0347084,
        0.0352498,
        0.0350625,
        0.0346806,
        0.0343573,
        0.0344941,
        0.0347589,
        0.0345688,
        0.0341994,
        0.0344399,
        0.0348784,
        0.0342964,
        0.0346146,
        0.0350551,
        0.0348004,
        0.0347014,
        0.0381737,
        0.0385821,
        0.0353532,
        0.035102,
        0.0351247,
        0.0357618,
        0.0359058,
        0.0362895,
        0.0367181,
        0.0370435,
        0.0367877,
        0.0367779,
        0.0368403,
        0.0367351,
        0.0371599,
        0.0377178,
        0.0375085,
        0.03748,
        0.0379442,
        0.0380817,
        0.0381096,
        0.0412514,
        0.0414355,
        0.0392254,
        0.0396914,
        0.0402454,
        0.0413414,
        0.0421993,
        0.0420421,
        0.0428802,
        0.043838,
        0.0450365,
        0.0463196,
        0.0476037,
        0.0480748,
        0.0482039,
        0.0481679,
        0.0476688,
        0.0463804,
        0.0452875,
        0.044081,
        0.0431,
        0.0417576,
        0.0406512,
        0.0402517,
        0.0391996,
        0.0388125,
        0.0382101,
        0.0379702,
        0.0374042,
        0.0371798,
        0.0368806,
        0.0365222,
        0.0365613,
        0.0365739,
        0.0366867,
        0.0375723,
        0.0373659,
        0.0363266,
        0.0359854,
        0.035801,
        0.0360615,
        0.0360736,
        0.0361838,
        0.0362945,
        0.0367055,
        0.0367985,
        0.036553,
        0.0364391,
        0.0365867,
        0.0363464,
        0.0366855,
        0.0366433,
        0.0371094,
        0.0367844,
        0.03682,
        0.0374188,
        0.0367034,
        0.0368974,
        0.037083,
        0.0371438,
        0.0371146,
        0.037285,
        0.0380281,
        0.037948,
        0.0372475,
        0.0370532,
        0.0373558,
        0.0375521,
        0.0377378,
        0.0379641,
        0.0377707,
        0.0376672,
        0.0377325,
        0.0379252,
        0.0378862,
        0.037894,
        0.038129,
        0.0494771,
        0.0477454,
        0.03727,
        0.0372957,
        0.0377212,
        0.0439234,
        0.0441831,
        0.0375018,
        0.0372681,
        0.0371633,
        0.037912,
        0.0376025,
        0.0381459,
        0.0378214,
        0.037528,
        0.0379206,
        0.0382898,
        0.0386843,
        0.038762,
        0.0392451,
        0.0392357,
        0.0394767,
        0.039698,
        0.0402041,
        0.0402775,
        0.040575,
        0.0402997,
        0.0404935,
        0.0404065,
        0.0401109,
        0.0400727,
        0.0393815,
        0.0391553,
        0.0394974,
        0.0396361,
        0.0398163,
        0.0401309,
        0.0390362,
        0.039156,
        0.0391607,
        0.0387498,
        0.0390518,
        0.0400341,
        0.0400093,
        0.0398992,
        0.0393155,
        0.0391535,
        0.0394554,
        0.0397743,
        0.0395561,
        0.0392048,
        0.0395605,
        0.0394045,
        0.0396547,
        0.0396303,
        0.0396238,
        0.039855,
        0.0398102,
        0.0396701,
        0.0399459,
        0.0401725,
        0.0405184,
        0.0406745,
        0.0407656,
        0.0404251,
        0.0411889,
        0.0414866,
        0.0412747,
        0.0409836,
        0.0410079,
        0.0401295,
        0.0397387,
        0.0399486,
        0.0391726,
        0.0385284,
        0.0386498,
        0.0389027,
        0.0386475,
        0.0385995,
        0.0385564,
        0.0385366,
        0.0385694,
        0.0390039,
        0.0387549,
        0.0385517,
        0.0386321,
        0.0389172,
        0.0388436,
        0.0389476,
        0.038841,
        0.0388446,
        0.0390436,
        0.0393162,
        0.0391205,
        0.039486,
        0.0395901,
        0.0398488,
        0.0397964,
        0.0397543,
        0.0402107,
        0.0434494,
        0.044679,
        0.0418707,
        0.0443964,
        0.0430562,
        0.0426665,
        0.0434907,
        0.0444633,
        0.0448904,
        0.04504,
        0.0446808,
        0.0447129,
        0.0441609,
        0.0436173,
        0.0432857,
        0.0421159,
        0.0422898,
        0.0423621,
        0.0424266,
        0.0428243,
        0.0422809,
        0.0421544,
        0.0428254,
        0.0435424,
        0.0436076,
        0.0429629,
        0.0432617,
        0.0437763,
        0.0435698,
        0.0431876,
        0.0429383,
        0.0437993,
        0.045049,
        0.0458164,
        0.0444953,
        0.0416065,
        0.0413438,
        0.0413223,
        0.0408297,
        0.0405794,
        0.0405893,
        0.040513,
        0.0414154,
        0.042002,
        0.0405112,
        0.0405735,
        0.0408054,
        0.0407287,
        0.0402038,
        0.0403091,
        0.0403047,
        0.0403076,
        0.0410672,
        0.0412534,
        0.0407585,
        0.0408884,
        0.0406077,
        0.0406128,
        0.0411539,
        0.0408007,
        0.0408828,
        0.0468158,
        0.0477044,
        0.0463031,
        0.0414499,
        0.0413755,
        0.0418113,
        0.0424497,
        0.0417884,
        0.0427078,
        0.0430819,
        0.0426753,
        0.0423701,
        0.0427348,
        0.0427966,
        0.0434757,
        0.0434979,
        0.043646,
        0.0437175,
        0.0444611,
        0.0443359,
        0.0440592,
        0.0440136,
        0.0442173,
        0.0447375,
        0.0440384,
        0.0440912,
        0.0442453,
        0.0447846,
        0.0470587,
        0.0453539,
        0.0447205,
        0.0447969,
        0.0443994,
        0.0446647,
        0.044938,
        0.0450937,
        0.0455653,
        0.0457369,
        0.0458431,
        0.0454093,
        0.0453882,
        0.0454598,
        0.0452753,
        0.0448727,
        0.0461197,
        0.0478344,
        0.0456564,
        0.0455908,
        0.0457767,
        0.0477508,
        0.045984,
        0.0460222,
        0.0463195,
        0.0476963,
        0.0481038,
        0.0485191,
        0.0485827,
        0.0491928,
        0.0498703,
        0.0528118,
        0.0520726,
        0.052294,
        0.0528723,
        0.0536967,
        0.0546664,
        0.0565765,
        0.0593635,
        0.0637417,
        0.068804,
        0.0743784,
        0.0799673,
        0.0836568,
        0.0835064,
        0.0815308,
        0.0778455,
        0.0736415,
        0.0682931,
        0.0634846,
        0.0602589,
        0.0582841,
        0.0593127,
        0.0583952,
        0.0569417,
        0.0568873,
        0.0566872,
        0.0566406,
        0.0573805,
        0.0588085,
        0.0582032,
        0.0582704,
        0.0592717,
        0.0622223,
        0.0626289,
        0.0635817,
        0.0648538,
        0.0663481,
        0.0685511,
        0.072913,
        0.0754752,
        0.0761175,
        0.0799764,
        0.0846432,
        0.0892503,
        0.0967343,
        0.105543,
        0.120705,
        0.141679,
        0.174482,
        0.182181,
        0.155747,
        0.136554,
        0.120885,
        0.1104,
        0.102054,
        0.0956734,
        0.0885765,
        0.0841415,
        0.0808472,
        0.0779399,
        0.0756132,
        0.0738237,
        0.073098,
        0.0722396,
        0.0698221,
        0.0668501,
        0.0659322,
        0.0644637,
        0.0626899,
        0.0612585,
        0.0600372,
        0.0595897,
        0.0589031,
        0.0577615,
        0.0569565,
        0.0565107,
        0.0567473,
        0.0559914,
        0.0549301,
        0.0551775,
        0.054336,
        0.0538425,
        0.0538811,
        0.053487,
        0.0529224,
        0.0521874,
        0.0518039,
        0.0513982,
        0.05087,
        0.050423,
        0.050419,
        0.0549062,
        0.0557639,
        0.0500197,
        0.0494469,
        0.0496432,
        0.049346,
        0.0492861,
        0.0490657,
        0.0488957,
        0.0494768,
        0.0493724,
        0.0500409,
        0.0492952,
        0.0492319,
        0.0496418,
        0.0492177,
        0.0488531,
        0.0487912,
        0.0491957,
        0.0493974,
        0.0495963,
        0.0501402,
        0.0496435,
        0.0504432,
        0.050444,
        0.0501172,
        0.0498503,
        0.0506107,
        0.0513559,
        0.0508378,
        0.0500717,
        0.0504293,
        0.0504109,
        0.0508122,
        0.0505075,
        0.051178,
        0.0517272,
        0.0515052,
        0.0514309,
        0.0511221,
        0.050707,
        0.0508977,
        0.0510688,
        0.0511326,
        0.0511597,
        0.051468,
        0.051239,
        0.0513859,
        0.0511473,
        0.0517004,
        0.0524309,
        0.0537535,
        0.0557435,
        0.0528013,
        0.0527328,
        0.0526565,
        0.052663,
        0.0529429,
        0.053415,
        0.0535028,
        0.053055,
        0.054199,
        0.0544271,
        0.0549315,
        0.0612277,
        0.0639568,
        0.0581573,
        0.0569913,
        0.0582658,
        0.0587409,
        0.059174,
        0.0665351,
        0.0687454,
        0.0656246,
        0.0657955,
        0.068533,
        0.0719969,
        0.0760649,
        0.0796623,
        0.0857621,
        0.0944246,
        0.103629,
        0.117731,
        0.134477,
        0.156675,
        0.180175,
        0.150079,
        0.129732,
        0.115205,
        0.104435,
        0.0941938,
        0.0868826,
        0.0815964,
        0.0787089,
        0.0758678,
        null,
        0.0568677,
        0.0570323,
        0.05711,
        0.0576934,
        0.0581617,
        0.05858,
        0.0592116,
        0.059953,
        0.061078,
        0.0624698,
        0.06368,
        0.0645858,
        0.0662998,
        0.0682632,
        0.0702234,
        0.0722993,
        0.0747832,
        0.0781039,
        0.0813857,
        0.0855496,
        0.0910938,
        0.0977109,
        0.107086,
        0.118025,
        0.131779,
        0.152649,
        0.179125,
        0.223051,
        0.187193,
        0.161256,
        0.14133,
        0.125482,
        0.111349,
        0.101011,
        0.094145,
        0.0884244,
        0.0828405,
        0.0787976,
        0.075147,
        0.0718365,
        0.0691636,
        0.067013,
        0.0652094,
        0.063628,
        0.0623697,
        0.0607739,
        0.059661,
        0.0631794,
        0.0626166,
        0.0578749,
        0.0572962,
        0.0565754,
        0.0558054,
        0.0553115,
        0.0551585,
        0.0552911,
        0.0554999,
        0.05574,
        0.0559307,
        0.056039,
        0.0568761,
        0.0581696,
        0.0590483,
        0.0603778,
        0.0619432,
        0.0643269,
        0.0677438,
        0.0718168,
        0.0763455,
        0.0833001,
        0.0938869,
        0.108117,
        0.129982,
        0.163494,
        0.215771,
        0.228792,
        0.143448,
        0.109173,
        0.0942617,
        0.0836408,
        0.0755922,
        0.0712417,
        0.0667053,
        0.0614903,
        0.0582353,
        0.0557006,
        0.0572944,
        0.0542391,
        0.0500698,
        0.0491673,
        0.0482575,
        0.0472799,
        0.0465573,
        0.0457435,
        0.0451084,
        0.0445646,
        0.0439508,
        0.0433378,
        0.0427503,
        0.0425592,
        0.0422974,
        0.0418063,
        0.0413865,
        0.0409036,
        0.0404832,
        0.0405223,
        0.0403533,
        0.0400692,
        0.0399799,
        0.0397361,
        0.0395813,
        0.0392071,
        0.039401,
        0.0392308,
        0.0386774,
        0.0383849,
        0.0382213,
        0.0382434,
        0.0383826,
        0.0382387,
        0.0380989,
        0.0380574,
        0.0380571,
        0.0378623,
        0.0377607,
        0.037738,
        0.0377548,
        0.0374879,
        0.0376477,
        0.0384452,
        0.0390495,
        0.0391787,
        0.0381595,
        0.0378781,
        0.0380934,
        0.0381117,
        0.0380071,
        0.0378985,
        0.0378009,
        0.0379499,
        0.0380526,
        0.0379733,
        0.0377927,
        0.0384448,
        0.0383606,
        0.0377248,
        0.0406237,
        0.0405225,
        0.0377825,
        0.0378192,
        0.0375798,
        0.0373053,
        0.0371401,
        0.0371275,
        0.0368951,
        0.036831,
        0.0367552,
        0.0366328,
        0.0365416,
        0.0364652,
        0.0362523,
        0.0362304,
        0.0360713,
        0.0357998,
        0.0357313,
        0.0358781,
        0.0359313,
        0.0358628,
        0.0358975,
        0.0361802,
        0.0365681,
        0.0365925,
        0.0366735,
        0.03677,
        0.03655,
        0.0363449,
        0.036258,
        0.0361653,
        0.0362394,
        0.0363281,
        0.0364448,
        0.0369622,
        0.0372661,
        0.0374594,
        0.0378926,
        0.0382335,
        0.0384118,
        0.0382888,
        0.0381173,
        0.037881,
        0.0377247,
        0.0375853,
        0.0373939,
        0.0374168,
        0.0376933,
        0.0381635,
        0.0387837,
        0.0397264,
        0.0407669,
        0.0414626,
        0.0418841,
        0.0416521,
        0.0409713,
        0.0401539,
        0.0392456,
        0.0384883,
        0.0377348,
        0.0372299,
        0.0363987,
        0.0358607,
        0.0357581,
        0.0355917,
        0.0397487,
        0.0396344,
        0.0350975,
        0.0348202,
        0.0347961,
        0.0347943,
        0.0347942,
        0.0346644,
        0.0345479,
        0.0345043,
        0.0343691,
        0.0341296,
        0.0339699,
        0.0339704,
        0.0340361,
        0.0341048,
        0.03441,
        0.0341963,
        0.0342084,
        0.0341384,
        0.034173,
        0.0343403,
        0.0378116,
        0.0373577,
        0.034711,
        0.0349102,
        0.0351311,
        0.0353796,
        0.03552,
        0.0354424,
        0.0351869,
        0.0345719,
        0.037605,
        0.037659,
        0.0342649,
        0.0344691,
        0.0348223,
        0.0349226,
        0.0350306,
        0.0351715,
        0.0352153,
        0.035223,
        0.0361621,
        0.0368047,
        0.0361859,
        0.0362146,
        0.0358517,
        0.0353868,
        0.035099,
        0.0348675,
        0.0347617,
        0.0346404,
        0.0345629,
        0.0345373,
        0.034457,
        0.0345539,
        0.0346259,
        0.0344631,
        0.034469,
        0.0343633,
        0.0343353,
        0.0343199,
        0.0344813,
        0.034553,
        0.034106,
        0.0337966,
        0.0336098,
        0.0336481,
        0.0335119,
        0.0335736,
        0.0341431,
        0.034755,
        0.0347649,
        0.0347617,
        0.0346969,
        0.0344413,
        0.0343967,
        0.0342718,
        0.0341225,
        0.0339842,
        0.033691,
        0.0335642,
        0.033754,
        0.0336986,
        0.0336558,
        0.0337564,
        0.0338861,
        0.034035,
        0.0340403,
        0.0338997,
        0.0338598,
        0.0340658,
        0.0344199,
        0.0343761,
        0.0341927,
        0.0339201,
        0.0351044,
        0.035414,
        0.0388669,
        0.03858,
        0.0338459,
        0.0340384,
        0.0339511,
        0.0340549,
        0.0342911,
        0.0345491,
        0.0348138,
        0.0352755,
        0.0355883,
        0.0358233,
        0.0360993,
        0.0361961,
        0.0359036,
        0.0357432,
        0.0348884,
        0.036305,
        0.0362691,
        0.0338628,
        0.0337841,
        0.0334193,
        0.0336199,
        0.0335099,
        0.033293,
        0.0332368,
        0.0331237,
        0.0335026,
        0.0341827,
        0.0349027,
        0.0351095,
        0.0349186,
        0.0342308,
        0.033778,
        0.0333842,
        0.0336315,
        0.0336616,
        0.0336446,
        0.0335907,
        0.0334226,
        0.0334762,
        0.0345733,
        0.0350035,
        0.0344993,
        0.035164,
        0.0354004,
        0.0352683,
        0.0348217,
        0.0342829,
        0.0339346,
        0.0338645,
        0.033987,
        0.0341508,
        0.0343426,
        0.0342873,
        0.0342227,
        0.0341577,
        0.034245,
        0.0382859,
        0.0379077,
        0.0351478,
        0.0350633,
        0.0349553,
        0.0346782,
        0.0346433,
        0.0349215,
        0.0350096,
        0.0348751,
        0.034439,
        0.033717,
        0.0334341,
        0.0333454,
        0.033043,
        0.0330333,
        0.0329904,
        0.0329921,
        0.0331164,
        0.0331308,
        0.0333338,
        0.0332824,
        0.0331663,
        0.0327712,
        0.0326013,
        0.0325983,
        0.032859,
        0.0335162,
        0.0346102,
        0.0356305,
        0.0363696,
        0.0366721,
        0.0384417,
        0.036929,
        0.0336837,
        0.0336969,
        0.0344962,
        0.0355357,
        0.0360319,
        0.0357603,
        0.0396452,
        0.0386995,
        0.0337509,
        0.0342815,
        0.0351515,
        0.0358486,
        0.0358332,
        0.0354355,
        0.0349409,
        0.0349936,
        0.0355917,
        0.0358936,
        0.0355038,
        0.0348915,
        0.0346859,
        0.0343613,
        0.0346338,
        0.0351218,
        0.0356957,
        0.0359902,
        0.0359107,
        0.0352711,
        0.034748,
        0.0347536,
        0.0352695,
        0.0355615,
        0.0356403,
        0.0357215,
        0.0356731,
        0.0353547,
        0.0353472,
        0.0353282,
        0.0354979,
        0.0352338,
        0.034914,
        0.0347212,
        0.0345577,
        0.0345082,
        0.0349448,
        0.035714,
        0.0376055,
        0.0387838,
        0.0385106,
        0.0380369,
        0.0373368,
        0.0366514,
        0.0361743,
        0.0366594,
        0.0377057,
        0.0387717,
        0.0394167,
        0.0388622,
        0.0382015,
        0.0374557,
        0.0367943,
        0.0370627,
        0.038003,
        0.038222,
        0.0384823,
        0.0391039,
        0.0399007,
        0.0408959,
        0.0417125,
        0.0426582,
        0.0437144,
        0.0448384,
        0.0471265,
        0.0506641,
        0.0557094,
        0.0617227,
        0.0676337,
        0.0727492,
        0.0785321,
        0.0874405,
        0.099875,
        0.123715,
        0.146937,
        0.169286,
        0.213539,
        0.135379,
        0.110994,
        0.0941642,
        0.0809434,
        0.0716087,
        0.0654485,
        0.0613468,
        0.0584128,
        0.0570046,
        0.0596021,
        0.0589137,
        0.0535764,
        0.0514952,
        0.0487668,
        0.0454111,
        0.0427131,
        0.041246,
        0.0447612,
        0.0443022,
        0.0431366,
        0.0428406,
        0.0387149,
        0.0380732,
        0.0371528,
        0.0369949,
        0.0372586,
        0.0381193,
        0.0388934,
        0.0390123,
        0.0382995,
        0.0370348,
        0.0357383,
        0.0348716,
        0.0346912,
        0.0346889,
        0.0349934,
        0.0349576,
        0.0352481,
        0.0357752,
        0.0360298,
        0.0362172,
        0.0360716,
        0.0357374,
        0.0363532,
        0.0363166,
        0.0357574,
        0.0359973,
        0.0360473,
        0.0359134,
        0.0356757,
        0.035449,
        0.0361645,
        0.0372137,
        0.0375408,
        0.0377459,
        0.0374144,
        0.0372936,
        0.037859,
        0.039656,
        0.0419715,
        0.0435445,
        0.0456296,
        0.0443554,
        0.043637,
        0.0435991,
        0.0435545,
        0.0443047,
        0.0450476,
        0.0450824,
        0.0461442,
        0.0458664,
        0.0432909,
        0.0491407,
        0.0468119,
        0.041092,
        0.0387559,
        0.0367987,
        0.0351486,
        0.033788,
        0.0330644,
        0.0329797,
        0.036925,
        0.0374816,
        0.0343192,
        0.0352825,
        0.036104,
        0.0361143,
        0.0356351,
        0.0344933,
        0.0336523,
        0.0334334,
        0.0335055,
        0.0338472,
        0.0340425,
        0.0341001,
        0.0343729,
        0.0344277,
        0.0351763,
        0.0356108,
        0.0359747,
        0.0357332,
        0.0349057,
        0.034277,
        0.0347595,
        0.0352829,
        0.0357782,
        0.0361887,
        0.0358929,
        0.035344,
        0.0352849,
        0.036083,
        0.0371721,
        0.0381626,
        0.0388378,
        0.0392498,
        0.0388675,
        0.0377712,
        0.0360634,
        0.0343282,
        0.0333278,
        0.0333623,
        0.0337148,
        0.0326509,
        0.0320952,
        0.0320293,
        0.0323896,
        0.0328916,
        0.0330626,
        0.0328726,
        0.0324,
        0.0317389,
        0.0311606,
        0.0309887,
        0.0308199,
        0.0308736,
        0.031099,
        0.0314808,
        0.0336498,
        0.0349621,
        0.034119,
        0.0348409,
        0.0352663,
        0.0355251,
        0.0355284,
        0.035416,
        0.0353976,
        0.0354221,
        0.0361593,
        0.0379986,
        0.0409945,
        0.0444762,
        0.0469974,
        0.0466652,
        0.0446602,
        0.0427015,
        0.0421438,
        0.0427251,
        0.0428681,
        0.041967,
        0.0397143,
        0.0379769,
        0.038623,
        0.0395039,
        0.0413173,
        0.0429955,
        0.0439776,
        0.0432802,
        0.0404374,
        0.0374072,
        0.0351592,
        0.0342706,
        0.0339547,
        0.0338545,
        0.037551,
        0.0373124,
        0.0341422,
        0.0374913,
        0.0366,
        0.0348508,
        0.0353406,
        0.0370112,
        0.0392031,
        0.0408851,
        0.0415173,
        0.0410488,
        0.0401326,
        0.040069,
        0.0404287,
        0.0416162,
        0.0423361,
        0.0413794,
        0.0403855,
        0.0389608,
        0.0382928,
        0.0386081,
        0.0398693,
        0.0418201,
        0.0445597,
        0.0485771,
        0.0545263,
        0.0625632,
        0.0734347,
        0.0880617,
        0.10199,
        0.116155,
        0.127425,
        0.135688,
        0.140031,
        0.145422,
        0.154192,
        0.140047,
        0.13379,
        0.125891,
        0.117081,
        0.110703,
        0.108603,
        0.108679,
        0.111404,
        0.115851,
        0.120713,
        0.121149,
        0.114588,
        0.108909,
        0.104984,
        0.100777,
        0.0962216,
        0.0906566,
        0.0846154,
        0.0804299,
        0.07872,
        0.077292,
        0.0774283,
        0.0783682,
        0.0794355,
        0.0804996,
        0.0805877,
        0.0774679,
        0.0718671,
        0.0654935,
        0.0618465,
        0.0615527,
        0.0650969,
        0.0706378,
        0.0790298,
        0.0820492,
        0.0812627,
        0.0763133,
        0.0693348,
        0.0638016,
        0.0594604,
        0.0557904,
        0.0527028,
        0.0506248,
        0.0486602,
        0.047532,
        0.047059,
        0.0473843,
        0.0483709,
        0.0504029,
        0.0528242,
        0.0565395,
        0.0603944,
        0.0628164,
        0.0637282,
        0.0617613,
        0.0600706,
        0.0594167,
        0.0607301,
        0.0645012,
        0.0674328,
        0.0671108,
        0.0633788,
        0.0574538,
        0.0519247,
        0.0486729,
        0.0476627,
        0.0474145,
        0.0468007,
        0.0452273,
        0.043423,
        0.0421769,
        0.041724,
        0.0421241,
        0.0422165,
        0.0422705,
        0.0456427,
        0.0458611,
        0.043077,
        0.0432331,
        0.0461339,
        0.0439648,
        0.0432759,
        0.0446846,
        0.0454659,
        0.0444183,
        0.0421763,
        0.0398327,
        0.039138,
        0.0402816,
        0.0430505,
        0.0468675,
        0.0488024,
        0.047515,
        0.0447985,
        0.0423288,
        0.0402814,
        0.039137,
        0.0393799,
        0.0406855,
        0.0425366,
        0.0452701,
        0.0468025,
        0.0448608,
        0.0449322,
        0.0438968,
        0.042461,
        0.0401671,
        0.0411353,
        0.041645,
        0.0403023,
        0.0417623,
        0.0439735,
        0.0441623,
        0.0428639,
        0.040679,
        0.038589,
        0.0381288,
        0.0387275,
        0.0379359,
        0.0374466,
        0.0371527,
        0.036521,
        0.0356906,
        0.0356218,
        0.0368078,
        0.0398666,
        0.0447123,
        0.0508373,
        0.056045,
        0.0582372,
        0.0588686,
        0.0545898,
        0.0475805,
        0.0466647,
        0.049231,
        0.0538763,
        0.0565945,
        0.0542816,
        0.0479295,
        0.041665,
        0.0378254,
        0.0357534,
        0.0349292,
        0.034894,
        0.035047,
        0.0360781,
        0.0383708,
        0.0420801,
        0.0447954,
        0.0454707,
        0.0436241,
        0.0402715,
        0.0376641,
        0.0372618,
        0.0378612,
        0.0388961,
        0.0384116,
        0.0372328,
        0.0358765,
        0.0356081,
        0.0359249,
        0.0367748,
        0.0380839,
        0.0397208,
        0.0429785,
        0.0454499,
        0.0457002,
        0.0436094,
        0.0397302,
        0.0365398,
        0.0347124,
        0.0363636,
        0.036598,
        0.0352356,
        0.0352466,
        0.0355699,
        0.0360642,
        0.037435,
        0.0399209,
        0.0483972,
        0.0549452,
        0.0556893,
        0.0560108,
        0.0512768,
        0.0447624,
        0.040449,
        0.0387626,
        0.0381859,
        0.038209,
        0.0385403,
        0.0386083,
        0.0396345,
        0.0407111,
        0.0431105,
        0.0465298,
        0.0508414,
        0.0533101,
        0.0547799,
        0.0553189,
        0.0588427,
        0.0663097,
        0.0742067,
        0.0774663,
        0.0766705,
        0.0730317,
        0.0744782,
        0.0825696,
        0.098651,
        0.121478,
        0.143782,
        0.156715,
        0.175837,
        0.199482,
        0.117416,
        0.103868,
        0.0933234,
        0.0920343,
        0.0913312,
        0.0884053,
        0.0799696,
        0.0697815,
        0.0607876,
        0.0549515,
        0.052293,
        0.0525574,
        0.0546285,
        0.0578781,
        0.060786,
        0.0623946,
        0.0614605,
        0.0606887,
        0.0661834,
        0.0678252,
        0.0617228,
        0.0588501,
        0.0553702,
        0.0526967,
        0.0526437,
        0.0545753,
        0.0559718,
        0.0547868,
        0.0507803,
        0.048374,
        0.0439037,
        0.0384652,
        0.0374046,
        0.0368495,
        0.0363391,
        0.0361886,
        0.0361311,
        0.036992,
        0.0368181,
        0.0356454,
        0.0350686,
        0.0347076,
        0.0366893,
        0.0367457,
        0.0346051,
        0.0348075,
        0.0353119,
        0.0358141,
        0.0369794,
        0.0393285,
        0.0428116,
        0.0462232,
        0.047999,
        0.0482705,
        0.047579,
        0.0478674,
        0.0483242,
        0.0480562,
        0.045184,
        0.0407517,
        0.0369893,
        0.0352329,
        0.0387684,
        0.0394471,
        0.0371173,
        0.0406626,
        0.0477933,
        0.0585731,
        0.0708033,
        0.0808238,
        0.0850079,
        0.0752631,
        0.0633765,
        0.0577416,
        0.0559977,
        0.0576991,
        0.0610934,
        0.0641055,
        0.0629952,
        0.057486,
        0.0509547,
        0.0447716,
        0.0395638,
        0.0367668,
        0.0356555,
        0.0351536,
        0.0350338,
        0.0347905,
        0.0341688,
        0.0336644,
        0.0333323,
        0.0368749,
        0.0378799,
        0.0356483,
        0.0373502,
        0.0333366,
        0.033394,
        0.0333759,
        0.0328275,
        0.0328141,
        0.032841,
        0.033088,
        0.0329501,
        0.0341418,
        0.0352484,
        0.0364569,
        0.0400303,
        0.043445,
        0.0447936,
        0.0432931,
        0.0396483,
        0.035888,
        0.0341007,
        0.0335557,
        0.0336975,
        0.0361015,
        0.0375594,
        0.0365309,
        0.03773,
        0.0395435,
        0.0438712,
        0.0515397,
        0.0615184,
        0.0713995,
        0.075458,
        0.0699071,
        0.0591231,
        0.0503341,
        0.0432396,
        0.0381458,
        0.0351265,
        0.0337853,
        0.0332125,
        0.0331714,
        0.0333415,
        0.0335307,
        0.0335837,
        0.0336433,
        0.0333405,
        0.0331598,
        0.0329615,
        0.0326889,
        0.0327708,
        0.0326992,
        0.0324939,
        0.0325327,
        0.0330549,
        0.0332927,
        0.0330298,
        0.0330447,
        0.033307,
        0.0337675,
        0.0343384,
        0.0351992,
        0.0367567,
        0.0403254,
        0.04682,
        0.0564317,
        0.0657586,
        0.068262,
        0.0623544,
        0.0529867,
        0.0492584,
        0.0477098,
        0.0472,
        0.0525411,
        0.0565925,
        0.0572543,
        0.0537161,
        0.0474737,
        0.0431366,
        0.0409378,
        0.039334,
        0.03922,
        0.0420902,
        0.0489626,
        0.0594088,
        0.0706647,
        0.0760294,
        0.0733503,
        0.0680139,
        0.0685345,
        0.0643704,
        0.0558537,
        0.0515032,
        0.0476553,
        0.0469848,
        0.048939,
        0.0510374,
        0.050956,
        0.0479395,
        0.043818,
        0.0413863,
        0.0425672,
        0.046872,
        0.0508233,
        0.0529909,
        0.0513416,
        0.0476186,
        0.043969,
        0.0425469,
        0.0431046,
        0.0432588,
        0.0428267,
        0.041729,
        0.0404823,
        0.0392676,
        0.0382549,
        0.0374166,
        0.0365552,
        0.0375107,
        0.036626,
        0.0359004,
        0.0355322,
        0.0354694,
        0.0353511,
        0.0351618,
        0.0350974,
        0.0351849,
        0.0355149,
        0.0365259,
        0.0376387,
        0.0384562,
        0.0384039,
        0.0379637,
        0.0368209,
        0.0359141,
        0.0359565,
        0.0366796,
        0.0388066,
        0.041964,
        0.0472636,
        0.0524837,
        0.0574125,
        0.0585866,
        0.0553399,
        0.0507243,
        0.0461105,
        0.0424118,
        0.0397103,
        0.0393396,
        0.0411284,
        0.0447198,
        0.0492974,
        0.0527723,
        0.0530427,
        0.0504416,
        0.0483931,
        0.050358,
        0.0581267,
        0.0709575,
        0.0814696,
        0.0799408,
        0.0678737,
        0.055563,
        0.0466326,
        0.0416945,
        0.0396714,
        0.0387929,
        0.0381422,
        0.0378077,
        0.0376165,
        0.0376669,
        0.0380181,
        0.0379896,
        0.0393387,
        0.0408968,
        0.0406614,
        0.0395378,
        0.0406935,
        0.0418665,
        0.0431104,
        0.046341,
        0.054458,
        0.0648284,
        0.0761284,
        0.0875747,
        0.0866826,
        0.0756003,
        0.064779,
        0.0568879,
        0.0521744,
        0.0556753,
        0.0573709,
        0.0615508,
        0.0705133,
        0.0808747,
        0.0938452,
        0.107542,
        0.117305,
        0.125225,
        0.125184,
        0.115669,
        0.102108,
        0.0901155,
        0.0826722,
        0.0768565,
        0.0720114,
        0.0697058,
        0.0703221,
        0.0737147,
        0.0773003,
        0.083121,
        0.0912488,
        0.117474,
        0.141884,
        0.181369,
        0.227384,
        0.732713,
        0.132926,
        0.115134,
        0.101692,
        0.0912126,
        0.0832947,
        0.0767877,
        0.0720406,
        0.0684139,
        0.0659037,
        0.0641847,
        0.0646964,
        0.064162,
        0.0628952,
        0.0602593,
        0.0566618,
        0.0533648,
        0.0515724,
        0.0504729,
        0.049918,
        0.050033,
        0.0512402,
        0.0542057,
        0.0597942,
        0.0682039,
        0.0797618,
        0.0900725,
        0.0957155,
        0.0927101,
        0.0848036,
        0.0833684,
        0.0779386,
        0.0664725,
        0.0622188,
        0.0581095,
        0.0526905,
        0.0491232,
        0.0480213,
        0.0466233,
        0.0498152,
        0.051692,
        0.0463816,
        0.0461977,
        0.0491429,
        0.0547221,
        0.060383,
        0.0642077,
        0.0639898,
        0.0598902,
        0.0552285,
        0.0519401,
        0.0510272,
        0.0528981,
        0.0553153,
        0.0578444,
        0.0616489,
        0.0659478,
        0.0708777,
        0.0773836,
        0.0878353,
        0.10059,
        0.117226,
        0.14055,
        0.205933,
        0.239637,
        0.20385,
        0.184649,
        0.189078,
        0.172072,
        0.153264,
        0.141169,
        0.133258,
        0.13042,
        0.128465,
        0.117776,
        0.111257,
        0.098341,
        0.0789517,
        0.0738741,
        0.073006,
        0.0721204,
        0.0703355,
        0.0658522,
        0.0606131,
        0.0558374,
        0.0521594,
        0.0518955,
        0.0549402,
        0.059118,
        0.0626621,
        0.063748,
        0.060628,
        0.0553487,
        0.0514874,
        0.0496446,
        0.0491927,
        0.0488323,
        0.0487113,
        0.0477701,
        0.0477228,
        0.0480414,
        0.0483416,
        0.0498042,
        0.0531952,
        0.0589141,
        0.0672679,
        0.0778192,
        0.0821905,
        0.0780904,
        0.0738807,
        0.0694121,
        0.0685061,
        0.069735,
        0.0740326,
        0.0811463,
        0.0887321,
        0.0982744,
        0.112101,
        0.131485,
        0.211266,
        0.153691,
        0.113356,
        0.104531,
        0.0938,
        0.0814526,
        0.0714808,
        0.0645121,
        0.0608912,
        0.0592047,
        0.0625861,
        0.0663551,
        0.0687159,
        0.0696389,
        0.0666027,
        0.0608178,
        0.0557594,
        0.0614823,
        0.0595005,
        0.0496196,
        0.0477295,
        0.046462,
        0.045075,
        0.0451908,
        0.045239,
        0.0457955,
        0.0462728,
        0.0481693,
        0.052592,
        0.0583878,
        0.0676387,
        0.0797668,
        0.0912153,
        0.0960531,
        0.0891364,
        0.0846898,
        0.0742132,
        0.0628678,
        0.0492297,
        0.0459009,
        0.0445829,
        0.0444934,
        0.0443917,
        0.0445911,
        0.0448256,
        0.0457695,
        0.045638,
        0.0462366,
        0.047695,
        0.0506324,
        0.053603,
        0.0620306,
        0.0626628,
        0.0535379,
        0.0529596,
        0.0595787,
        0.0637062,
        0.067229,
        0.0817812,
        0.099025,
        0.11345,
        0.129349,
        0.137901,
        0.150047,
        0.112727,
        0.0895273,
        0.0720474,
        0.0614217,
        0.0543351,
        0.0515401,
        0.0495685,
        0.0477601,
        0.048855,
        0.051989,
        0.0575529,
        0.0620702,
        0.0668242,
        0.0645785,
        0.0608196,
        0.0657872,
        0.063572,
        0.0542875,
        0.0538892,
        0.0544309,
        0.0547848,
        0.0622899,
        0.0621873,
        0.0540031,
        0.0536773,
        0.0535303,
        0.0537287,
        0.0537176,
        0.054228,
        0.0568622,
        0.0628131,
        0.0720977,
        0.0847288,
        0.0935889,
        0.096108,
        0.0879439,
        0.0785849,
        0.0713045,
        0.066075,
        0.0622942,
        0.0604765,
        0.0660127,
        0.0692235,
        0.0694435,
        0.0762329,
        0.0794694,
        0.075586,
        0.0687123,
        0.0628148,
        0.0599997,
        0.0576761,
        0.0560711,
        0.0543183,
        0.0524775,
        0.0527421,
        0.0570036,
        0.0713769,
        0.0825746,
        0.0822298,
        0.0824714,
        0.0816288,
        0.0791639,
        0.0766302,
        0.0751851,
        0.0748943,
        0.0743988,
        0.0756047,
        0.080217,
        0.0851707,
        0.086116,
        0.0847576,
        0.0781429,
        0.0674659,
        0.0613488,
        0.0579165,
        0.05517,
        0.0530461,
        0.0536224,
        0.0552122,
        0.0598961,
        0.0681874,
        0.0732445,
        0.0735669,
        0.0762625,
        0.0777696,
        0.0796361,
        0.0794314,
        0.0746506,
        0.0655109,
        0.0560904,
        0.0495137,
        0.0459344,
        0.0469796,
        0.0461712,
        0.0428517,
        0.0436754,
        0.0440692,
        0.0431997,
        0.0434075,
        0.0447471,
        0.0476634,
        0.0528201,
        0.0585788,
        0.0623477,
        0.0619832,
        0.0585319,
        0.0530967,
        0.0485189,
        0.0465651,
        0.0474835,
        0.046106,
        0.0451992,
        0.044926,
        0.0445367,
        0.0439188,
        0.0447042,
        0.0524861,
        0.0544431,
        0.0522761,
        0.0535341,
        0.0559143,
        0.0560401,
        0.0597117,
        0.0573851,
        0.0523913,
        0.0553532,
        0.0628178,
        0.0736123,
        0.0844207,
        0.0932986,
        0.093228,
        0.0865786,
        0.0803316,
        0.0765908,
        0.0795879,
        0.0910537,
        0.114708,
        0.153957,
        0.132201,
        0.103555,
        0.0811019,
        0.0663552,
        0.0583759,
        0.0547614,
        0.051878,
        0.0498641,
        0.0497094,
        0.0505868,
        0.0534477,
        0.0585932,
        0.0677001,
        0.0795317,
        0.0921386,
        0.101695,
        0.100671,
        0.0912171,
        0.0802088,
        0.0702744,
        0.063328,
        0.0583056,
        0.0569955,
        0.0563602,
        0.0566503,
        0.0571379,
        0.0578578,
        0.0588616,
        0.0659873,
        0.0669975,
        0.0614892,
        0.0648648,
        0.0716833,
        0.0825789,
        0.0966354,
        0.114558,
        0.12182,
        0.110425,
        0.0964088,
        0.0819178,
        0.0700021,
        0.0618087,
        0.0561222,
        0.0541211,
        0.053961,
        0.0542747,
        0.0539411,
        0.0553542,
        0.0580365,
        0.06089,
        0.0630239,
        0.0643052,
        0.065166,
        0.0640274,
        0.0625775,
        0.064013,
        0.0662625,
        0.0673448,
        0.0690225,
        0.0727616,
        0.0779388,
        0.0859498,
        0.0938545,
        0.100948,
        0.107414,
        0.111643,
        0.116733,
        0.129055,
        0.414673,
        0.132079,
        0.117955,
        0.114634,
        0.126008,
        0.128965,
        0.136024,
        0.135142,
        0.125112,
        0.111517,
        0.0967935,
        0.0847888,
        0.0772558,
        0.0733845,
        0.0696855,
        0.0661489,
        0.0634358,
        0.0605377,
        0.0587172,
        0.0581331,
        0.05817,
        0.0563619,
        0.0571984,
        0.0670307,
        0.0759711,
        0.0606391,
        0.0527005,
        0.0520316,
        0.0525951,
        0.0548634,
        0.0599392,
        0.0668677,
        0.0737266,
        0.0761954,
        0.0734747,
        0.0677833,
        0.0617466,
        0.0563787,
        0.0545089,
        0.0562479,
        0.0591418,
        0.0628984,
        0.06888,
        0.0695404,
        0.0691647,
        0.0668435,
        0.0623631,
        0.0587325,
        0.0558334,
        0.0540992,
        0.0538898,
        0.0539754,
        0.0558905,
        0.0635803,
        0.074153,
        0.0841663,
        0.0883011,
        0.0818873,
        0.0709713,
        0.0610631,
        0.0559594,
        0.0584613,
        0.0570938,
        0.0636884,
        0.0672331,
        0.0665092,
        0.066658,
        0.064552,
        0.0631658,
        0.0690429,
        0.081808,
        0.10433,
        0.127848,
        0.131083,
        0.109051,
        0.0852909,
        0.0690893,
        0.0604988,
        0.0579227,
        0.0585786,
        0.0638685,
        0.0699266,
        0.074083,
        0.0728035,
        0.0665281,
        0.0587367,
        0.0541997,
        0.0530119,
        0.0526948,
        0.0562344,
        0.0622372,
        0.0725103,
        0.0841496,
        0.0901037,
        0.0874705,
        0.0775444,
        0.0671736,
        0.0621418,
        0.0622648,
        0.0675545,
        0.0771895,
        0.0855049,
        0.0913088,
        0.0890279,
        0.0799903,
        0.0705552,
        0.066301,
        0.0719651,
        0.0767106,
        0.0786261,
        0.082142,
        0.0800583,
        0.0724609,
        0.0633795,
        0.0571105,
        0.055734,
        0.0564345,
        0.0597012,
        0.0635234,
        0.0677624,
        0.0689715,
        0.0670599,
        0.0627636,
        0.0587592,
        0.0556363,
        0.0529451,
        0.0521558,
        0.0532951,
        0.0566657,
        0.0607466,
        0.0640161,
        0.0667084,
        0.0678805,
        0.068798,
        0.0746044,
        0.0836533,
        0.0917193,
        0.0968124,
        0.0968028,
        0.0908043,
        0.0834877,
        0.0796115,
        0.0741409,
        0.0692649,
        0.0661664,
        0.0672287,
        0.0725535,
        0.0800035,
        0.0956447,
        0.103878,
        0.0883423,
        0.0760221,
        0.0677583,
        0.0640294,
        0.0627699,
        0.063464,
        0.0675253,
        0.0710139,
        0.0811895,
        0.0906466,
        0.091689,
        0.087671,
        0.0805146,
        0.0731724,
        0.0688154,
        0.0683677,
        0.0688255,
        0.0697818,
        0.0713393,
        0.0732488,
        0.076674,
        0.0806085,
        0.0866094,
        0.0958411,
        0.106994,
        0.130397,
        0.139411,
        0.161328,
        0.237007,
        0.184057,
        0.157345,
        0.155328,
        0.148203,
        0.143693,
        0.148284,
        0.142989,
        0.13045,
        0.114635,
        0.0993816,
        0.0930652,
        0.0933855,
        0.0965744,
        0.0957355,
        0.0909424,
        0.0831212,
        0.0753428,
        0.070304,
        0.0687135,
        0.0682913,
        0.0684026,
        0.0695283,
        0.0739386,
        0.0798663,
        0.0918399,
        0.107605,
        0.115914,
        0.112845,
        0.104398,
        0.0948035,
        0.0922172,
        0.102567,
        0.12849,
        0.204294,
        0.190333,
        0.150664,
        0.114207,
        0.09387,
        0.0830336,
        0.0790106,
        0.0753932,
        0.071666,
        0.0689269,
        0.0652554,
        0.0624283,
        0.061205,
        0.0595933,
        0.0598776,
        0.0600582,
        0.0609348,
        0.0643797,
        0.0622335,
        0.0626455,
        0.0623045,
        0.0609522,
        0.0600493,
        0.0586734,
        0.0578881,
        0.057884,
        0.0583612,
        0.0602812,
        0.0644822,
        0.0728798,
        0.084271,
        0.107089,
        0.135129,
        0.141066,
        0.130966,
        0.115368,
        0.098781,
        0.0819457,
        0.0685506,
        0.0630998,
        0.0612296,
        0.0608478,
        0.0633314,
        0.0697647,
        0.0810279,
        0.0983521,
        0.118745,
        0.129703,
        0.120995,
        0.101939,
        null,
        0.0543291,
        0.0531979,
        0.0516387,
        0.0500915,
        0.0488092,
        0.0476967,
        0.0465789,
        0.0459103,
        0.0454263,
        0.0452873,
        0.0450055,
        0.0447602,
        0.0449428,
        0.046351,
        0.0497753,
        0.0559285,
        0.0637702,
        0.069059,
        0.0685414,
        0.0623959,
        0.0560056,
        0.0533732,
        0.0535329,
        0.0541969,
        0.0541159,
        0.0525853,
        0.0503569,
        0.0484277,
        0.0481145,
        0.0482535,
        0.0481623,
        0.048008,
        0.0477811,
        0.0483198,
        0.0515814,
        0.0580744,
        0.069536,
        0.08304,
        0.0951929,
        0.0862274,
        0.0660283,
        0.0559162,
        0.0510736,
        0.049062,
        0.0495838,
        0.0529116,
        0.0596173,
        0.0680955,
        0.0743091,
        0.0727684,
        0.0652848,
        0.0574847,
        0.0528788,
        0.0517602,
        0.0525229,
        0.05494,
        0.0589616,
        0.065012,
        0.0736195,
        0.0818676,
        0.0831925,
        0.0763795,
        0.0669043,
        0.0602151,
        0.0575344,
        0.0573213,
        0.0583963,
        0.0605741,
        0.0643959,
        0.070517,
        0.0783887,
        0.0846566,
        0.0864997,
        0.0843402,
        0.0787725,
        0.0731197,
        0.0705995,
        0.0716798,
        0.0769605,
        0.0860022,
        0.0920643,
        0.0908773,
        0.0832773,
        0.0757407,
        0.072602,
        0.0734178,
        0.0760573,
        0.0805227,
        0.0841046,
        0.0866913,
        0.0910204,
        0.0991936,
        0.108488,
        0.114695,
        0.117802,
        0.119386,
        0.125054,
        0.137045,
        0.1503,
        0.148434,
        0.129205,
        0.105244,
        0.0856726,
        0.0732506,
        0.0664697,
        0.0626355,
        0.0604744,
        0.0614733,
        0.0675146,
        0.0783509,
        0.0898503,
        0.0931691,
        0.0853421,
        0.0737116,
        0.0643298,
        0.0593768,
        0.0572679,
        0.0561929,
        0.0550493,
        0.0544031,
        0.0540999,
        0.0540483,
        0.053662,
        0.0530329,
        0.0523419,
        0.0519446,
        0.0514723,
        0.0512216,
        0.0510156,
        0.0518262,
        0.0533419,
        0.0548433,
        0.0571609,
        0.0622962,
        0.0709409,
        0.0848346,
        0.0968918,
        0.0971536,
        0.0867278,
        0.0750915,
        0.0661718,
        0.0618043,
        0.061147,
        0.0621447,
        0.0636842,
        0.0662524,
        0.0700853,
        0.0756997,
        0.0825425,
        0.0905103,
        0.0989139,
        0.108525,
        0.12215,
        0.143524,
        0.177791,
        0.173524,
        0.137928,
        0.115013,
        0.100442,
        0.090782,
        0.0841885,
        0.0793984,
        0.0756217,
        0.0728061,
        0.0706982,
        0.0688025,
        0.0682935,
        0.0700422,
        0.0742755,
        0.0795251,
        0.081675,
        0.0811255,
        0.0797671,
        0.0812053,
        0.0880189,
        0.0977539,
        0.106478,
        0.114781,
        0.116949,
        0.128903,
        0.122109,
        0.108901,
        0.0953427,
        0.0815729,
        0.0802355,
        0.0815084,
        0.0832951,
        0.0867565,
        0.0913467,
        0.0962939,
        0.102043,
        0.109188,
        0.120368,
        0.136946,
        0.162096,
        0.196946,
        0.249467,
        0.133467,
        0.118934,
        0.113884,
        0.117246,
        0.122217,
        0.121396,
        0.113031,
        0.100555,
        0.0906867,
        0.0847502,
        0.0823933,
        0.0847904,
        0.0867909,
        0.0864712,
        0.0880158,
        0.0890268,
        0.0877934,
        0.0866623,
        0.087483,
        0.0924144,
        0.101404,
        0.106911,
        0.106601,
        0.10061,
        0.093402,
        0.0897112,
        0.0901575,
        0.0921318,
        0.0942043,
        0.0985161,
        0.104438,
        0.114058,
        0.127632,
        0.144768,
        0.215508,
        0.181943,
        0.143429,
        0.118393,
        0.103009,
        0.0943834,
        0.0888243,
        0.0833634,
        0.0781094,
        0.0739409,
        0.0695346,
        0.0658434,
        0.0622397,
        0.0589483,
        0.0557514,
        0.053244,
        0.0513698,
        0.0499211,
        0.0488901,
        0.0477969,
        0.0469515,
        0.0461517,
        0.045556,
        0.0450559,
        0.0451705,
        0.0449275,
        0.044388,
        0.044049,
        0.0442683,
        0.044446,
        0.0453488,
        0.0473809,
        0.0500229,
        0.0516894,
        0.051261,
        0.0498802,
        0.0478342,
        0.0465319,
        0.0465394,
        0.0475194,
        0.0487989,
        0.051041,
        0.0536921,
        0.0561428,
        0.0586094,
        0.0592718,
        0.0581811,
        0.0555274,
        0.052928,
        0.0506587,
        0.0495039,
        0.0498143,
        0.0483921,
        0.0475017,
        0.0500546,
        0.055304,
        0.0624756,
        0.0694839,
        0.0729578,
        0.0705422,
        0.0649474,
        0.0586666,
        0.0522521,
        0.0472723,
        0.0444396,
        0.042402,
        0.0413341,
        0.0407101,
        0.0398907,
        0.038979,
        0.0382873,
        0.0380215,
        0.0376705,
        0.0373806,
        0.037111,
        0.0372108,
        0.0368853,
        0.0367559,
        0.0369851,
        0.0374387,
        0.0382927,
        0.0397486,
        0.0416322,
        0.0435124,
        0.0439431,
        0.0429159,
        0.0410668,
        0.0399376,
        0.0395431,
        0.0392026,
        0.0388541,
        0.0386363,
        0.0386306,
        0.0385727,
        0.038392,
        0.0384755,
        0.0386527,
        0.0389319,
        0.0394133,
        0.0400261,
        0.0407995,
        0.0417055,
        0.0429204,
        0.0440754,
        0.0460443,
        0.0481312,
        0.0502815,
        0.0536827,
        0.0581715,
        0.0639027,
        0.0699212,
        0.0734419,
        0.0733326,
        0.0690429,
        0.0629711,
        0.057416,
        0.0532167,
        0.0548418,
        0.0514822,
        0.0491457,
        0.0518604,
        0.0546341,
        0.0558445,
        0.0557194,
        0.0550914,
        0.0543084,
        0.0529991,
        0.0497968,
        0.0449454,
        0.0409522,
        0.0422019,
        0.041068,
        0.0370852,
        0.0366493,
        0.0367633,
        0.0365179,
        0.0365688,
        0.0367708,
        0.0366857,
        0.0365799,
        0.0364688,
        0.0367294,
        0.0378847,
        0.0397629,
        0.0418517,
        0.0427218,
        0.0419934,
        0.0401026,
        0.0382663,
        0.0372427,
        0.0373222,
        0.0372131,
        0.0372043,
        0.0371607,
        0.0370669,
        0.036954,
        0.0365106,
        0.0362399,
        0.0375166,
        0.0378567,
        0.0366901,
        0.0363135,
        0.0361498,
        0.0361339,
        0.0360497,
        0.0360672,
        0.0361759,
        0.0364044,
        0.0372592,
        0.0375154,
        0.0375599,
        0.0374085,
        0.0370504,
        0.0431439,
        0.0425269,
        0.0359149,
        0.0360278,
        0.0361005,
        0.0357297,
        0.0356175,
        0.0357412,
        0.0353929,
        0.0353674,
        0.0352584,
        0.0353588,
        0.0357279,
        0.0359637,
        0.0361531,
        0.0364915,
        0.0362861,
        0.0359414,
        0.0356736,
        0.0356567,
        0.0354772,
        0.035413,
        0.0353332,
        0.0351028,
        0.0350774,
        0.0357934,
        0.0357298,
        0.0349383,
        0.034625,
        0.0343158,
        0.0339998,
        0.0342581,
        0.0342725,
        0.03429,
        0.0341261,
        0.0342804,
        0.0344788,
        0.034678,
        0.0348481,
        0.0354549,
        0.0357134,
        0.0363828,
        0.0376701,
        0.0389344,
        0.0396542,
        0.0418975,
        0.0447492,
        0.0466606,
        0.0478588,
        0.0489861,
        0.0500706,
        0.0498195,
        0.0553433,
        0.0518853,
        0.0427875,
        0.0401094,
        0.0383033,
        0.0371594,
        0.0361031,
        0.0356011,
        0.0378916,
        0.0379957,
        0.0348894,
        0.0345306,
        0.0340282,
        0.0338923,
        0.0338964,
        0.034198,
        0.0343642,
        0.0338026,
        0.0337382,
        0.0337754,
        0.0335833,
        0.0338376,
        0.0336382,
        0.0336486,
        0.0355629,
        0.0357322,
        0.033789,
        0.0338369,
        0.0338836,
        0.0342056,
        0.034136,
        0.0342578,
        0.0346379,
        0.0347633,
        0.0346025,
        0.0347916,
        0.0349446,
        0.0350221,
        0.0355596,
        0.0361465,
        0.0374318,
        0.0381416,
        0.0388811,
        0.0390809,
        0.0387883,
        0.0388229,
        0.0396037,
        0.0401236,
        0.0408291,
        0.0418941,
        0.042793,
        0.0442036,
        0.0460518,
        0.0486659,
        0.0567587,
        0.0583513,
        0.0597347,
        0.0665819,
        0.0737666,
        0.0788971,
        0.0805517,
        0.0791643,
        0.074326,
        0.0690398,
        0.0655317,
        0.0628769,
        0.0608481,
        0.0602456,
        0.0606143,
        0.0609918,
        0.0628053,
        0.0654065,
        0.068588,
        0.0739096,
        0.0817418,
        0.0906293,
        0.102613,
        0.12489,
        0.154005,
        0.197569,
        0.268658,
        0.210485,
        0.158306,
        0.125131,
        0.104447,
        0.0897389,
        0.078207,
        0.0702815,
        0.0641932,
        0.0595311,
        0.0560076,
        0.0529892,
        0.0510032,
        0.0494746,
        0.0481855,
        0.046703,
        0.0451527,
        0.0438203,
        0.0433533,
        0.0428492,
        0.0430271,
        0.0424288,
        0.0425069,
        0.0423589,
        0.0547458,
        0.0569705,
        0.0564002,
        0.0540738,
        0.0489593,
        0.0478731,
        0.037759,
        0.0377968,
        0.0378881,
        0.0390789,
        0.0395196,
        0.0380552,
        0.038581,
        0.0388058,
        0.0392442,
        0.038769,
        0.0355519,
        0.0351037,
        0.0348331,
        0.0347015,
        0.0346708,
        0.0342593,
        0.0340468,
        0.0339777,
        0.0340759,
        0.0338023,
        0.033866,
        0.0339336,
        0.0337931,
        0.0339036,
        0.0341372,
        0.0340392,
        0.0341982,
        0.0345526,
        0.0354631,
        0.0360339,
        0.0362817,
        0.0360458,
        0.0354364,
        0.0348338,
        0.0345832,
        0.0343477,
        0.0341428,
        0.0342307,
        0.0351064,
        0.0346413,
        0.0344496,
        0.0347915,
        0.0352949,
        0.0355992,
        0.0361497,
        0.0373873,
        0.038633,
        0.0408388,
        0.0441669,
        0.0485664,
        0.0532855,
        0.0560611,
        0.0553591,
        0.0517551,
        0.0478871,
        0.0447526,
        0.0418043,
        0.0394272,
        0.0383462,
        0.0370804,
        0.0364982,
        0.0359122,
        0.0364096,
        0.0358824,
        0.0356167,
        0.0354438,
        0.0354813,
        0.0353885,
        0.0356118,
        0.0358877,
        0.0368698,
        0.038897,
        0.0428337,
        0.0468128,
        0.0505907,
        0.0533005,
        0.0541223,
        0.0529115,
        0.0515001,
        0.0497651,
        0.0465632,
        0.0425305,
        0.0401697,
        0.038998,
        0.0417441,
        0.0432695,
        0.0457377,
        0.0475888,
        0.0479104,
        0.0465311,
        0.0458203,
        0.0450653,
        0.0448352,
        0.0432892,
        0.0412739,
        0.0395919,
        0.0389218,
        0.0388658,
        0.039277,
        0.0401094,
        0.0412023,
        0.0439173,
        0.0515508,
        0.0603117,
        0.0636988,
        0.0697282,
        0.0708486,
        0.0704125,
        0.0728985,
        0.0811645,
        0.0965719,
        0.106266,
        0.100668,
        0.0891763,
        0.0760505,
        0.0655367,
        0.0605016,
        0.0592903,
        0.0606564,
        0.0613954,
        0.0593875,
        0.0537764,
        0.0482038,
        0.0433678,
        0.0408461,
        0.04032,
        0.0432862,
        0.0467098,
        0.0489521,
        0.0507723,
        0.0495892,
        0.0456552,
        0.0410465,
        0.0384344,
        0.0375439,
        0.0369707,
        0.0367805,
        0.037041,
        0.038309,
        0.0407573,
        0.0434784,
        0.0459454,
        0.0480381,
        0.0493367,
        0.0517152,
        0.0560481,
        0.0625831,
        0.0594031,
        0.0496611,
        0.0435767,
        0.0404417,
        0.0401712,
        0.0426711,
        0.0479851,
        0.0532425,
        0.0562187,
        0.0531036,
        0.0507473,
        0.0433743,
        0.0380806,
        0.0369986,
        0.0371727,
        0.042178,
        0.0456399,
        0.0461308,
        0.0481786,
        0.0478689,
        0.045928,
        0.0441329,
        0.042276,
        0.0410035,
        0.0392151,
        0.0376149,
        0.0381584,
        0.0403865,
        0.043315,
        0.0455614,
        0.0451689,
        0.0430928,
        0.0412985,
        0.0394339,
        0.0364585,
        0.0359691,
        0.0360087,
        0.0404358,
        0.0421225,
        0.0402995,
        0.0430743,
        0.0462645,
        0.0475854,
        0.045996,
        0.0433728,
        0.0403809,
        0.0385469,
        0.0382502,
        0.0381354,
        0.0390822,
        0.0406944,
        0.0438462,
        0.049229,
        0.0559314,
        0.076688,
        0.0763652,
        0.0578482,
        0.0539685,
        0.0505357,
        0.0477782,
        0.0454444,
        0.0463608,
        0.0504105,
        0.0536737,
        0.0534565,
        0.0501085,
        0.0440545,
        0.0393414,
        0.0370618,
        0.0363121,
        0.0364802,
        0.0379121,
        0.0414176,
        0.047634,
        0.0535571,
        0.0561863,
        0.0540582,
        0.0506046,
        0.0460341,
        0.0434627,
        0.043247,
        0.0437779,
        0.0447497,
        0.0454745,
        0.0476198,
        0.0519986,
        0.0581352,
        0.0635922,
        0.0645886,
        0.0622954,
        0.057727,
        0.0544995,
        0.0539535,
        0.0561737,
        0.0584267,
        0.0567482,
        0.0517485,
        0.0463378,
        0.042234,
        0.0401855,
        0.0405306,
        0.0431843,
        0.0470071,
        0.0502567,
        0.0512394,
        0.0506009,
        0.0479362,
        0.0503204,
        0.044604,
        0.0402773,
        0.0400863,
        0.0413494,
        0.0423765,
        0.0426869,
        0.0419147,
        0.0414462,
        0.0420151,
        0.0457451,
        0.0533395,
        0.0612556,
        0.0643055,
        0.0600428,
        0.0527206,
        0.0444973,
        0.0401187,
        0.0383385,
        0.0384312,
        0.0400156,
        0.0428893,
        0.0481889,
        0.0536397,
        0.057713,
        0.0581564,
        0.0558546,
        0.0530828,
        0.0528232,
        0.0551159,
        0.057397,
        0.0592434,
        0.059978,
        0.0598778,
        0.0627213,
        0.0691577,
        0.0779634,
        0.0834414,
        0.0816051,
        0.073912,
        0.0626762,
        0.0538836,
        0.0512114,
        0.0480529,
        0.0446197,
        0.0431828,
        0.0425732,
        0.0427702,
        0.0446996,
        0.04934,
        0.0557315,
        0.061185,
        0.0616416,
        0.0558188,
        0.0480767,
        0.0421116,
        0.0387067,
        0.0370402,
        0.0360426,
        0.0358176,
        0.0353256,
        0.0352371,
        0.0351495,
        0.0350807,
        0.0356059,
        0.0368148,
        0.0388829,
        0.0420914,
        0.0447303,
        0.0466177,
        0.047067,
        0.0465364,
        0.0466755,
        0.0478221,
        0.0481202,
        0.0465197,
        0.0439559,
        0.0413189,
        0.0393933,
        0.0385355,
        0.0387661,
        0.0402977,
        0.0422982,
        0.0455975,
        0.0505889,
        0.0558711,
        0.0586917,
        0.0567672,
        0.0530285,
        0.0508817,
        0.0515491,
        0.0529717,
        0.0531976,
        0.0547566,
        0.0518853,
        0.0450694,
        0.0436268,
        0.0427417,
        0.0413266,
        0.0397886,
        0.0400305,
        0.0428789,
        0.0482638,
        0.0552019,
        0.0622372,
        0.0659295,
        0.0625092,
        0.0585091,
        0.055608,
        0.0519892,
        0.048315,
        0.0455234,
        0.0427461,
        0.0409658,
        0.0408379,
        0.0424209,
        0.0466162,
        0.0518424,
        0.0537808,
        0.055984,
        0.0539225,
        0.0495887,
        0.0460547,
        0.0434096,
        0.0420107,
        0.0421275,
        0.0440146,
        0.0458074,
        0.0474696,
        0.0486102,
        0.0482394,
        0.0472251,
        0.0487419,
        0.051208,
        0.0520479,
        0.0513413,
        0.0485318,
        0.0458681,
        0.04373,
        0.0429651,
        0.0427462,
        0.0427264,
        0.0427604,
        0.0427969,
        0.0440996,
        0.0458983,
        0.0491293,
        0.0528553,
        0.057592,
        0.0639958,
        0.070876,
        0.0760393,
        0.079233,
        0.0782658,
        0.0728353,
        0.0696953,
        0.0699313,
        0.0725989,
        0.0768184,
        0.0838393,
        0.0942753,
        0.109632,
        0.131116,
        0.159792,
        0.239366,
        0.201738,
        0.171554,
        0.145746,
        0.12154,
        0.104092,
        0.0900285,
        0.0792577,
        0.073493,
        0.071667,
        0.0714886,
        0.0724387,
        0.071724,
        0.0711628,
        0.0849373,
        0.09408,
        0.0933449,
        0.103457,
        0.106426,
        0.103657,
        0.0989102,
        0.0963724,
        0.0969258,
        0.0988689,
        0.0924093,
        0.0867129,
        0.0814138,
        0.0757923,
        0.0703403,
        0.0652555,
        0.0630878,
        0.0635101,
        0.062469,
        0.0599541,
        0.0571113,
        0.0538883,
        0.0515414,
        0.0509957,
        0.0513474,
        0.0508166,
        0.048203,
        0.0457616,
        0.0449857,
        0.0467457,
        0.0521762,
        0.0601682,
        0.0690687,
        0.0757592,
        0.0777416,
        0.0736875,
        0.0662939,
        0.060419,
        0.0564576,
        0.0537198,
        0.0517072,
        0.0495444,
        0.0504791,
        0.0457981,
        0.0415341,
        0.0405984,
        0.040286,
        0.0406249,
        0.041459,
        0.0429934,
        0.0452448,
        0.0476665,
        0.0506216,
        0.0536979,
        0.054821,
        0.0545037,
        0.0536837,
        0.0521961,
        0.0498911,
        0.0478531,
        0.0460437,
        0.0439693,
        0.0444628,
        0.0452936,
        0.0460406,
        0.0475284,
        0.048619,
        0.0482993,
        0.046901,
        0.0454104,
        0.0448491,
        0.0454511,
        0.0471195,
        0.0496348,
        0.0528305,
        0.0549434,
        0.0566586,
        0.0575297,
        0.0595515,
        0.0653024,
        0.0769486,
        0.0926332,
        0.104611,
        0.104421,
        0.0970157,
        0.0919792,
        0.0900198,
        0.0905423,
        0.0938081,
        0.0947195,
        0.0975524,
        0.104275,
        0.113699,
        0.128691,
        0.14973,
        0.390398,
        0.162856,
        0.147094,
        0.139007,
        0.120793,
        0.097791,
        0.087498,
        0.0805551,
        0.076149,
        0.0740708,
        0.0757287,
        0.0736944,
        0.0690711,
        0.0649774,
        0.0606678,
        0.0568542,
        0.0537387,
        0.0516146,
        0.0503747,
        0.0496149,
        0.0498596,
        0.0494566,
        0.0500286,
        0.0504931,
        0.0516412,
        0.0540068,
        0.0720325,
        0.0829347,
        0.0766085,
        0.0784182,
        0.0748952,
        0.0693513,
        0.0666221,
        0.0666563,
        0.0694581,
        0.0742265,
        0.0787893,
        0.0736394,
        0.068698,
        0.062135,
        0.0571829,
        0.0542884,
        0.0538421,
        0.055507,
        0.0572508,
        0.0585838,
        0.058691,
        0.0587827,
        0.0605138,
        0.0630728,
        0.0663451,
        0.0697884,
        0.0743605,
        0.0801716,
        0.0880021,
        0.0967655,
        0.105643,
        0.117209,
        0.138685,
        0.139862,
        0.124985,
        0.118416,
        0.117509,
        0.115267,
        0.111645,
        0.102604,
        0.0929729,
        0.0835577,
        0.0755472,
        0.0687574,
        0.0663752,
        0.0653704,
        0.0633978,
        0.0605954,
        0.057501,
        0.0540883,
        0.052058,
        0.0513328,
        0.0513971,
        0.0522516,
        0.0550889,
        0.0577444,
        0.0618028,
        0.0680776,
        0.0796295,
        0.0906587,
        0.100543,
        0.11128,
        0.128586,
        0.105461,
        0.0830126,
        0.0715407,
        0.0644966,
        0.0580069,
        0.0544106,
        0.0518372,
        0.0486381,
        0.0457815,
        0.0445462,
        0.0435478,
        0.0432492,
        0.0437083,
        0.0447403,
        0.0458791,
        0.046583,
        0.0468543,
        0.046949,
        0.0476383,
        0.0509985,
        0.0583645,
        0.0696754,
        0.0848993,
        0.0990564,
        0.102222,
        0.0917315,
        0.0870366,
        0.0736808,
        0.0567496,
        0.0502311,
        0.0463023,
        0.0451906,
        0.0446601,
        0.0443197,
        0.0444875,
        0.0445896,
        0.0440048,
        0.0433684,
        0.0416829,
        0.0409546,
        0.0404531,
        0.0403254,
        0.0406219,
        0.0410749,
        0.0421542,
        0.04384,
        0.0470377,
        0.0518133,
        0.0558214,
        0.0573494,
        0.0566798,
        0.0549935,
        0.0519883,
        0.0501144,
        0.0483471,
        0.046445,
        0.0441801,
        0.0415379,
        0.0398016,
        0.0392916,
        0.0390332,
        0.0389991,
        0.0387104,
        0.0384216,
        0.0386107,
        0.0387641,
        0.0398614,
        0.0417501,
        0.0437596,
        0.0453645,
        0.0464009,
        0.0471123,
        0.0455917,
        0.0432334,
        0.0413033,
        0.0400626,
        0.0398792,
        0.0407202,
        0.0452024,
        0.0460671,
        0.0426635,
        0.0440073,
        0.047014,
        0.051079,
        0.0558579,
        0.0585824,
        0.0571727,
        0.0538207,
        0.0497022,
        0.0467517,
        0.0452765,
        0.0441892,
        0.0441735,
        0.045492,
        0.0490942,
        0.0553416,
        0.0617521,
        0.0640697,
        0.0643003,
        0.0558793,
        0.0487441,
        0.0458893,
        0.0448684,
        0.0448444,
        0.046414,
        0.0458781,
        0.0441636,
        0.0432223,
        0.0427183,
        0.0420812,
        0.0412136,
        0.0408683,
        0.0412934,
        0.0426691,
        0.044496,
        0.0471121,
        0.0485036,
        0.0485262,
        0.0464416,
        0.0439217,
        0.0419985,
        0.041109,
        0.041025,
        0.0413406,
        0.0416834,
        0.0429211,
        0.0439621,
        0.0452713,
        0.0473487,
        0.0510402,
        0.0580314,
        0.0745328,
        0.0885937,
        0.0900377,
        0.0905906,
        0.0817563,
        0.0695669,
        0.0631059,
        0.056841,
        0.0513573,
        0.0492452,
        0.0475471,
        0.0465734,
        0.045203,
        0.0442164,
        0.0435741,
        0.0432929,
        0.0428299,
        0.0433157,
        0.0442774,
        0.0459261,
        0.0468801,
        0.0467785,
        0.0464027,
        0.0458644,
        0.0456818,
        0.0467618,
        0.0500632,
        0.056772,
        0.0669672,
        0.0762132,
        0.074896,
        0.0666867,
        0.0574958,
        0.0499032,
        0.0455545,
        0.0433983,
        0.04272,
        0.0425291,
        0.043358,
        0.0443976,
        0.0453149,
        0.0453327,
        0.0452613,
        0.0446223,
        0.0446352,
        0.0452802,
        0.0466691,
        0.0487947,
        0.0524382,
        0.054603,
        0.0554386,
        0.058602,
        0.062363,
        0.064552,
        0.0664686,
        0.0682519,
        0.0687315,
        0.0661988,
        0.062627,
        0.0617556,
        0.0556897,
        0.0512852,
        0.048949,
        0.0486958,
        0.0502583,
        0.0535003,
        0.0572249,
        0.0645998,
        0.0640232,
        0.0548042,
        0.0503471,
        0.0469448,
        0.0463873,
        0.046505,
        0.0462889,
        0.0449759,
        0.0451698,
        0.0454158,
        0.0458069,
        0.046345,
        0.0465904,
        0.0460906,
        0.0462491,
        0.0469488,
        0.0485623,
        0.0512011,
        0.0557589,
        0.0627892,
        0.0712552,
        0.0785443,
        0.0918933,
        0.0819111,
        0.0652907,
        0.0581682,
        0.0535485,
        0.0521994,
        0.0525535,
        0.0528927,
        0.0523156,
        0.0510834,
        0.0495849,
        0.0489227,
        0.0488101,
        0.0492546,
        0.0500662,
        0.0509487,
        0.057219,
        0.0569071,
        0.0504046,
        0.0507913,
        0.0516602,
        0.0549337,
        0.0564869,
        0.0558425,
        0.0599215,
        0.0650839,
        0.0778657,
        0.0822881,
        0.078671,
        0.087411,
        0.103078,
        0.122622,
        0.131757,
        0.123989,
        0.108388,
        0.0936532,
        0.0868932,
        0.0855147,
        0.090143,
        0.0993719,
        0.109728,
        0.12164,
        0.136859,
        0.192456,
        0.158589,
        0.132231,
        0.115728,
        0.104864,
        0.0939208,
        0.0844595,
        0.0775015,
        0.0716906,
        0.0805822,
        0.0778288,
        0.0640573,
        0.0623969,
        0.0598696,
        0.0583997,
        0.0564413,
        0.0550233,
        0.0549873,
        0.0547065,
        0.0550063,
        0.0559614,
        0.0578319,
        0.0603244,
        0.0644669,
        0.0679026,
        0.0704636,
        0.070958,
        0.0692679,
        0.0693798,
        0.0720529,
        0.0762951,
        0.0800976,
        0.0885229,
        0.0823806,
        0.068032,
        0.0628569,
        0.0622301,
        0.0658759,
        0.0736156,
        0.082173,
        0.087728,
        0.0877345,
        0.0892807,
        0.0791889,
        0.0646795,
        0.0619628,
        0.060431,
        0.0588218,
        0.0577743,
        0.0569965,
        0.0538339,
        0.051652,
        0.0500632,
        0.0496063,
        0.0504902,
        0.0525173,
        0.0523349,
        0.0516113,
        0.0522073,
        0.0508348,
        0.0487821,
        0.0473243,
        0.0466823,
        0.0466711,
        0.0473282,
        0.0479469,
        0.0477626,
        0.0470992,
        0.047443,
        0.0478001,
        0.0533349,
        0.0520298,
        0.0536455,
        0.0563284,
        0.0498207,
        0.0503593,
        0.0515458,
        0.0557728,
        0.0633658,
        0.0743503,
        0.0877168,
        0.100015,
        0.101349,
        0.0920651,
        0.081357,
        0.0704618,
        0.0662134,
        0.0635174,
        0.0630885,
        0.0643405,
        0.0658153,
        0.0672369,
        0.0670524,
        0.0637037,
        0.0605237,
        0.0574324,
        0.0542118,
        0.0522713,
        0.0500969,
        0.0485627,
        0.0482095,
        0.0555214,
        0.0549945,
        0.04687,
        0.0492159,
        0.0488038,
        0.0467295,
        0.0478117,
        0.049905,
        0.0548848,
        0.0612793,
        0.0669704,
        0.0689161,
        0.0657395,
        0.0610378,
        0.0543051,
        0.0502269,
        0.048756,
        0.0494433,
        0.049202,
        0.0499004,
        0.0507035,
        0.0507043,
        0.0522585,
        0.0508847,
        0.0515235,
        0.0522829,
        0.0515205,
        0.049505,
        0.048587,
        0.0476125,
        0.0490515,
        0.0462759,
        0.0465708,
        0.0464674,
        0.0468294,
        0.047237,
        0.0487724,
        0.0515685,
        0.0544874,
        0.0562997,
        0.0570801,
        0.0574923,
        0.0556817,
        0.0534254,
        0.0526707,
        0.0552377,
        0.0686694,
        0.0693451,
        0.069466,
        0.0691936,
        0.0652431,
        0.0590018,
        0.0537536,
        0.0504159,
        0.0490056,
        0.0483208,
        0.0492331,
        0.0510352,
        0.0531162,
        0.0539104,
        0.0545462,
        0.054859,
        0.0536691,
        0.0525911,
        0.0514477,
        0.051373,
        0.0529561,
        0.0545336,
        0.0609858,
        0.070549,
        0.0768109,
        0.0771272,
        0.0708624,
        0.0623125,
        0.0560062,
        0.0619209,
        0.0600175,
        0.0505364,
        0.0504817,
        0.0502763,
        0.0498286,
        0.0499137,
        0.0489911,
        0.0488543,
        0.0481052,
        0.0480008,
        0.0485969,
        0.0487452,
        0.0492905,
        0.0510176,
        0.0523535,
        0.052842,
        0.0533977,
        0.0571255,
        0.0579916,
        0.0582082,
        0.0638656,
        0.0685278,
        0.0687631,
        0.0660983,
        0.060416,
        0.055513,
        0.0528152,
        0.0516489,
        0.0510518,
        0.052309,
        0.0544492,
        0.0584442,
        0.065466,
        0.077023,
        0.0937863,
        0.109406,
        0.10937,
        0.0989382,
        0.0804229,
        0.0661395,
        0.0580889,
        0.0537839,
        0.0519842,
        0.0513569,
        0.0510705,
        0.0514098,
        0.0517307,
        0.0523923,
        0.0524971,
        0.0527914,
        0.0530391,
        0.053082,
        0.0555253,
        0.0610132,
        0.0693637,
        0.0770568,
        0.0810258,
        0.0793174,
        0.0762053,
        0.0681991,
        0.0616706,
        0.0622154,
        0.0634143,
        0.064024,
        0.0636521,
        0.0627646,
        0.0613162,
        0.0601912,
        0.0586066,
        0.0557018,
        0.0545108,
        0.0539241,
        0.0529235,
        0.0521405,
        0.051674,
        0.0523382,
        0.0522918,
        0.0529362,
        0.0549481,
        0.0577587,
        0.0622924,
        0.0670054,
        0.0686732,
        0.0687909,
        0.0657554,
        0.0619767,
        0.0601702,
        0.0582915,
        0.0580016,
        0.0597184,
        0.0619539,
        0.0676788,
        0.0749109,
        0.0811328,
        0.0845178,
        0.0874654,
        0.085593,
        0.0823797,
        0.0887011,
        0.0958614,
        0.0993404,
        0.0954328,
        0.0863471,
        0.0770675,
        0.0729206,
        0.0733671,
        0.0746335,
        0.0739891,
        0.0737298,
        0.0713267,
        0.069155,
        0.0660351,
        0.0639411,
        0.0620547,
        0.0611047,
        0.0591383,
        0.0592812,
        0.0593285,
        0.061212,
        0.0599388,
        0.0588795,
        0.0588266,
        0.0590682,
        0.0607221,
        0.0595539,
        0.0586771,
        0.0588268,
        0.0596468,
        0.061721,
        0.0635809,
        0.0646571,
        0.0670873,
        0.0665408,
        0.0669259,
        0.067247,
        0.067984,
        0.0704075,
        0.0714289,
        0.074843,
        0.0795307,
        0.088543,
        0.101523,
        0.116062,
        0.143831,
        0.171765,
        0.1838,
        0.248597,
        0.202193,
        0.172314,
        0.147959,
        0.12328,
        0.111889,
        0.102547,
        0.0939789,
        0.0897479,
        0.0865385,
        0.0831875,
        0.0809691,
        0.0780141,
        0.0777069,
        0.0768459,
        0.0758234,
        0.0756466,
        0.0765502,
        0.0756102,
        0.0794653,
        0.0809646,
        0.0761186,
        0.0865002,
        0.0919497,
        0.0861273,
        0.087266,
        0.0839132,
        0.0776459,
        0.0727686,
        0.0697042,
        0.0705374,
        0.0696638,
        0.0690065,
        0.0695232,
        0.0714713,
        0.0753228,
        0.0824312,
        0.0936586,
        0.102813,
        0.103059,
        0.0966058,
        0.0868074,
        0.078828,
        0.076294,
        0.0729801,
        0.0715218,
        0.0708572,
        0.0707755,
        0.0700822,
        0.0706573,
        0.070685,
        0.0715457,
        0.0716211,
        0.0730686,
        0.0768886,
        0.0850146,
        0.0986126,
        0.110788,
        0.114559,
        0.109872,
        0.100272,
        0.0802403,
        0.0718269,
        0.0677638,
        0.0645769,
        0.0632987,
        0.062758,
        0.0626397,
        0.0618432,
        0.0615478,
        0.0616064,
        0.0620552,
        0.0616645,
        0.0608917,
        0.0609504,
        0.0615617,
        0.0632577,
        0.0639928,
        0.0635676,
        0.0641882,
        0.0654536,
        0.0672634,
        null,
        0.0632337,
        0.0610139,
        0.0587729,
        0.0569176,
        0.056214,
        0.0555017,
        0.0547018,
        0.0541281,
        0.0539414,
        0.0543481,
        0.0550299,
        0.0556211,
        0.0557716,
        0.0560976,
        0.0567294,
        0.0581355,
        0.0613072,
        0.0676498,
        0.0770728,
        0.0867375,
        0.0950711,
        0.0963879,
        0.0893505,
        0.0818611,
        0.0762725,
        0.0726685,
        0.0715557,
        0.0760313,
        0.0787179,
        0.0785025,
        0.0819379,
        0.0863597,
        0.0936725,
        0.103078,
        0.115253,
        0.131366,
        0.151991,
        0.212538,
        0.207563,
        0.187927,
        0.158143,
        0.127486,
        0.105698,
        0.0919854,
        0.083264,
        0.0773649,
        0.0729533,
        0.0700527,
        0.0693762,
        0.0714741,
        0.0756901,
        0.078379,
        0.0767987,
        0.0725474,
        0.0655216,
        0.0596827,
        0.0600309,
        0.0588592,
        0.0585174,
        0.0575292,
        0.0537497,
        0.0533812,
        0.0536722,
        0.0537989,
        0.0543848,
        0.0564753,
        0.0613487,
        0.071847,
        0.0875077,
        0.10267,
        0.105018,
        0.0903833,
        0.0727656,
        0.0613745,
        0.0556196,
        0.0530918,
        0.051021,
        0.0492544,
        0.0487487,
        0.0487605,
        0.0486388,
        0.0489095,
        0.0491108,
        0.0490268,
        0.0484714,
        0.0476777,
        0.0475078,
        0.0480298,
        0.0483428,
        0.0481973,
        0.049882,
        0.0487102,
        0.0453629,
        0.0453351,
        0.0456503,
        0.0456993,
        0.0454678,
        0.0453133,
        0.0452827,
        0.0456478,
        0.0461677,
        0.0465292,
        0.0467986,
        0.0467138,
        0.0463826,
        0.0459784,
        0.0464879,
        0.0479532,
        0.0508105,
        0.0562927,
        0.0646668,
        0.07909,
        0.0782879,
        0.0632075,
        0.0563296,
        0.0531383,
        0.0544046,
        0.0599989,
        0.0697781,
        0.0782854,
        0.0793164,
        0.0844095,
        0.0731441,
        0.0557996,
        0.0515078,
        0.0491024,
        0.0478276,
        0.0470872,
        0.0467099,
        0.0460135,
        0.0456309,
        0.0451066,
        0.045012,
        0.0449866,
        0.0452958,
        0.0455328,
        0.0457827,
        0.0463254,
        0.0469334,
        0.0475658,
        0.0485459,
        0.0492506,
        0.0510936,
        0.0533579,
        0.0588486,
        0.0607034,
        0.0581257,
        0.06071,
        0.0652369,
        0.0718929,
        0.076556,
        0.0740254,
        0.065389,
        0.0563275,
        0.0502428,
        0.0471498,
        0.0457666,
        0.0450189,
        0.0450771,
        0.0465451,
        0.0495815,
        0.0539265,
        0.0573216,
        0.0571783,
        0.053349,
        0.04862,
        0.0456684,
        0.0482033,
        0.0455242,
        0.0422795,
        0.0418051,
        0.0415277,
        0.041837,
        0.0424184,
        0.0441918,
        0.0464456,
        0.0482754,
        0.0494163,
        0.0495597,
        0.0501242,
        0.0526144,
        0.0583004,
        0.0641663,
        0.0655567,
        0.0615455,
        0.0551999,
        0.050156,
        0.0497752,
        0.0539931,
        0.0616146,
        0.0703244,
        0.074047,
        0.0682681,
        0.0587828,
        0.0511572,
        0.0469789,
        0.0451691,
        0.0445655,
        0.0444456,
        0.0444238,
        0.044332,
        0.0445517,
        0.0453519,
        0.0457523,
        0.0463666,
        0.0472033,
        0.0478276,
        0.0484871,
        0.0494498,
        0.05562,
        0.0528791,
        0.0470919,
        0.0496565,
        0.0494423,
        0.046235,
        0.0468018,
        0.0472415,
        0.0479703,
        0.0493998,
        0.0518862,
        0.0568549,
        0.0645654,
        0.0733227,
        0.0814024,
        0.0828945,
        0.0782577,
        0.0715,
        0.0643188,
        0.0592258,
        0.0560887,
        0.0549482,
        0.0541828,
        0.0532831,
        0.0526576,
        0.052078,
        0.0513129,
        0.0503097,
        0.0497034,
        0.0496132,
        0.0496649,
        0.0493907,
        0.0490109,
        0.0480741,
        0.0466847,
        0.0466379,
        0.0469479,
        0.0477157,
        0.050479,
        0.0554677,
        0.0647553,
        0.0754548,
        0.0833421,
        0.0815697,
        0.0738015,
        0.0660857,
        0.062355,
        0.0615231,
        0.0620387,
        0.0634933,
        0.0663917,
        0.0714003,
        0.0790706,
        0.0881414,
        0.0904928,
        0.0854791,
        0.075762,
        0.0705051,
        0.0722005,
        0.0788649,
        0.0844497,
        0.0842552,
        0.0765523,
        0.0690755,
        0.0667335,
        0.0690873,
        0.0741371,
        0.0774518,
        0.0766131,
        0.0718588,
        0.0672679,
        0.0650783,
        0.0659947,
        0.0671081,
        0.0694729,
        0.0736215,
        0.0790087,
        0.0842444,
        0.0881149,
        0.0907614,
        0.0944862,
        0.103143,
        0.119595,
        0.147749,
        0.194727,
        0.282618,
        0.229107,
        0.166636,
        0.132676,
        0.11178,
        0.0972716,
        0.0869832,
        0.0794028,
        0.0749663,
        0.0708594,
        0.0673925,
        0.0641349,
        0.0613932,
        0.0594071,
        0.0579829,
        0.056408,
        0.0549162,
        0.0539007,
        0.0534729,
        0.0529957,
        0.0524175,
        0.0513644,
        0.0502386,
        0.0495214,
        0.0488468,
        0.048016,
        0.0477837,
        0.0479325,
        0.0491599,
        0.0516225,
        0.0554209,
        0.0590866,
        0.0620474,
        0.0626531,
        0.0627483,
        0.064961,
        0.0684891,
        0.069107,
        0.0641757,
        0.0573292,
        0.0519542,
        0.0515811,
        0.0519193,
        0.0511655,
        0.0562858,
        0.0642976,
        0.0729622,
        0.0775208,
        0.073896,
        0.0654971,
        0.0575798,
        0.0530652,
        0.0499441,
        0.0479043,
        0.0467443,
        0.0457331,
        0.045697,
        0.0455612,
        0.0456107,
        0.0466454,
        0.0478481,
        0.0491549,
        0.0499045,
        0.0502978,
        0.0503727,
        0.0494083,
        0.0490954,
        0.0486428,
        0.0485972,
        0.0522411,
        0.0542719,
        0.0525797,
        0.054829,
        0.057504,
        0.0601096,
        0.0617189,
        0.0628923,
        0.0647253,
        0.0690465,
        0.077351,
        0.0923962,
        0.103494,
        0.0954363,
        0.0811143,
        0.0762023,
        0.076976,
        0.0811119,
        0.0856465,
        0.0860931,
        0.0816504,
        0.0748711,
        0.0687065,
        0.0661772,
        0.0673536,
        0.069811,
        0.0714198,
        0.0715315,
        0.0709367,
        0.0705346,
        0.069151,
        0.0675734,
        0.065732,
        0.0638508,
        0.0636994,
        0.0650972,
        0.0680552,
        0.0714252,
        0.0740876,
        0.0759458,
        0.0773289,
        0.077894,
        0.0825674,
        0.0928331,
        0.111736,
        0.138572,
        0.169649,
        0.155888,
        0.136215,
        0.115174,
        0.0961545,
        0.0925565,
        0.0932372,
        0.0983993,
        0.110187,
        0.112351,
        0.10633,
        0.109927,
        0.110974,
        0.108291,
        0.114392,
        0.12226,
        0.130505,
        0.138782,
        0.145313,
        0.152139,
        0.160619,
        0.170667,
        0.182614,
        0.19543,
        0.203305,
        0.214303,
        0.379663,
        0.2934,
        0.229166,
        0.179021,
        0.143067,
        0.120329,
        0.103635,
        0.092139,
        0.0814148,
        0.0722104,
        0.0664142,
        0.0733287,
        0.0690541,
        0.0578957,
        0.0555727,
        0.0541752,
        0.0533526,
        0.0543167,
        0.0557093,
        0.0598347,
        0.0666126,
        0.073865,
        0.0761718,
        0.0716355,
        0.0626956,
        0.0537959,
        0.0521907,
        0.0473598,
        0.0445127,
        0.044982,
        0.0462699,
        0.0480831,
        0.0483101,
        0.0479342,
        0.0466622,
        0.0454813,
        0.0494139,
        0.050646,
        0.0501572,
        0.0578894,
        0.0683505,
        0.0783567,
        0.0876471,
        0.0960384,
        0.0990665,
        0.0951239,
        0.0814605,
        0.0651409,
        0.0530018,
        0.046263,
        0.0428396,
        0.040742,
        0.0396491,
        0.0391932,
        0.0390899,
        0.0390004,
        0.0391879,
        0.0392951,
        0.0393709,
        0.039534,
        0.039406,
        0.040022,
        0.0410694,
        0.0448064,
        0.0516214,
        0.0596229,
        0.0651466,
        0.0634694,
        0.0565679,
        0.0504179,
        0.0489691,
        0.0512913,
        0.0549739,
        0.0567625,
        0.0554043,
        0.0501261,
        0.0436783,
        0.0403877,
        0.0395384,
        0.0392193,
        0.0390912,
        0.0385341,
        0.0383156,
        0.038485,
        0.0385599,
        0.0381468,
        0.038159,
        0.0384039,
        0.0382757,
        0.0384675,
        0.0387323,
        0.0393998,
        0.0395687,
        0.0391193,
        0.0394247,
        0.041626,
        0.0420996,
        0.0411134,
        0.0416908,
        0.0422783,
        0.0436282,
        0.0463997,
        0.0504581,
        0.0543882,
        0.0562387,
        0.0565402,
        0.0564273,
        0.0553464,
        0.0512442,
        0.0516717,
        0.0523262,
        0.0540083,
        0.0571604,
        0.0619189,
        0.0671568,
        0.0695514,
        0.068166,
        0.0620312,
        0.0524547,
        0.0485775,
        0.0466107,
        0.0469763,
        0.0476519,
        0.050354,
        0.0556918,
        0.0616181,
        0.0642866,
        0.0620744,
        0.055257,
        0.0483539,
        0.0439314,
        0.0414186,
        0.0400255,
        0.039267,
        0.0388627,
        0.0386673,
        0.0384289,
        0.0386685,
        0.0384204,
        0.0387138,
        0.0387112,
        0.0385351,
        0.0391415,
        0.0400151,
        0.040841,
        0.041392,
        0.0413875,
        0.0412653,
        0.0399269,
        0.0397476,
        0.0421926,
        0.0421159,
        0.0397415,
        0.0401693,
        0.04097,
        0.0428937,
        0.0448977,
        0.0470674,
        0.0479377,
        0.048166,
        0.0509176,
        0.0550457,
        0.0595912,
        0.0681304,
        0.0764546,
        0.0804901,
        0.0769682,
        0.0694265,
        0.0619238,
        0.0558496,
        0.0512078,
        0.0491016,
        0.0487596,
        0.0498064,
        0.0510625,
        0.053748,
        0.0570134,
        0.0619779,
        0.0694952,
        0.0776776,
        0.0838298,
        0.0840086,
        0.0764283,
        0.067357,
        0.0595976,
        0.0546132,
        0.0513945,
        0.0496759,
        0.0491087,
        0.0487462,
        0.0486381,
        0.0499189,
        0.053426,
        0.0597141,
        0.0692264,
        0.081062,
        0.0901516,
        0.08922,
        0.0774698,
        0.0650392,
        0.0552151,
        0.0481377,
        0.0444346,
        0.0426942,
        0.0417901,
        0.0416151,
        0.0417092,
        0.0414472,
        0.0420218,
        0.0423322,
        0.0430525,
        0.0435795,
        0.04344,
        0.0432135,
        0.0432976,
        0.0426119,
        0.0420166,
        0.0416543,
        0.0413328,
        0.0412098,
        0.0413823,
        0.0416882,
        0.0423163,
        0.0441083,
        0.0469947,
        0.0520447,
        0.0541024,
        0.0520161,
        0.0493815,
        0.0455766,
        0.0431321,
        0.0420184,
        0.0417795,
        0.0417283,
        0.0429957,
        0.0422243,
        0.0427644,
        0.0445509,
        0.0485107,
        0.0540743,
        0.0582243,
        0.0585702,
        0.0544913,
        0.0491446,
        0.0454052,
        0.0521931,
        0.0516614,
        0.0437751,
        0.0436398,
        0.0442034,
        0.0450317,
        0.0462038,
        0.0470673,
        0.0480809,
        0.0485551,
        0.048884,
        0.0516586,
        0.0524556,
        0.048743,
        0.0499247,
        0.0516761,
        0.0528865,
        0.0531621,
        0.0529273,
        0.0522562,
        0.0513346,
        0.0515697,
        0.0535751,
        0.0576179,
        0.064721,
        0.0750569,
        0.0829001,
        0.082845,
        0.0750177,
        0.0653682,
        0.059911,
        0.0563983,
        0.0554474,
        0.0551126,
        0.0549777,
        0.0555103,
        0.057444,
        0.0608792,
        0.0652877,
        0.0685686,
        0.0714913,
        0.0717766,
        0.0703491,
        0.0685151,
        0.0697039,
        0.0723178,
        0.0776148,
        0.082898,
        0.0851525,
        0.0848536,
        0.0860076,
        0.0950577,
        0.113954,
        0.172294,
        0.158674,
        0.139914,
        0.160639,
        0.210581,
        0.20569,
        0.16278,
        0.139404,
        0.126312,
        0.119086,
        0.120652,
        0.129126,
        0.142403,
        0.15444,
        0.15569,
        0.146637,
        0.133935,
        0.126478,
        0.127545,
        0.134122,
        0.138832,
        0.147961,
        0.156736,
        0.179831,
        0.193657,
        0.256584,
        null,
        0.148068,
        0.126542,
        0.114205,
        0.106262,
        0.0994026,
        0.0940971,
        0.0897241,
        0.0851703,
        0.0818474,
        0.0790218,
        0.0763177,
        0.074825,
        0.0740001,
        0.0731132,
        0.0734011,
        0.0729916,
        0.0775539,
        0.0765352,
        0.0692869,
        0.0682299,
        0.071353,
        0.0766739,
        0.0843267,
        0.0911456,
        0.0930822,
        0.0867255,
        0.0770172,
        0.0749172,
        0.0699534,
        0.0672133,
        0.0714447,
        0.0772344,
        0.0809228,
        0.07821,
        0.0708146,
        0.0635789,
        0.0583349,
        0.0560712,
        0.0551741,
        0.0533974,
        0.0532769,
        0.0525855,
        0.0514718,
        0.050681,
        0.0506735,
        0.050078,
        0.0495006,
        0.0502018,
        0.049126,
        0.0476752,
        0.0507358,
        0.0526497,
        0.0538173,
        0.0559799,
        0.0577998,
        0.0553385,
        0.054407,
        0.0511516,
        0.0485429,
        0.0453193,
        0.0449131,
        0.0453034,
        0.0453889,
        0.0460135,
        0.0459886,
        0.04594,
        0.0463824,
        0.0462929,
        0.0465992,
        0.0468515,
        0.0469351,
        0.0479929,
        0.050082,
        0.0550429,
        0.057256,
        0.058618,
        0.0565799,
        0.0516819,
        0.0481849,
        0.0470358,
        0.0469633,
        0.0466631,
        0.0466353,
        0.0462964,
        0.0458508,
        0.0455766,
        0.0464327,
        0.0460722,
        0.0455244,
        0.0443729,
        0.0440406,
        0.0438956,
        0.0444518,
        0.0450704,
        0.0456517,
        0.0462867,
        0.0468127,
        0.0466274,
        0.0472856,
        0.0478007,
        0.0484663,
        0.0494351,
        0.0516819,
        0.0566194,
        0.0644714,
        0.0745234,
        0.0842852,
        0.0897006,
        0.089122,
        0.0898902,
        0.0901664,
        0.083689,
        0.0841862,
        0.0894486,
        0.100951,
        0.130798,
        0.163313,
        0.180874,
        0.21519,
        0.168618,
        0.132447,
        0.107594,
        0.0926943,
        0.0865764,
        0.0838649,
        0.0889813,
        0.0825582,
        0.0668789,
        0.060601,
        0.0560365,
        0.0531648,
        0.0511144,
        0.0508949,
        0.0510373,
        0.0506386,
        0.0511365,
        0.0529696,
        0.0578326,
        0.06591,
        0.0767095,
        0.0873506,
        0.090658,
        0.0833963,
        0.0730201,
        0.0665632,
        0.0641437,
        0.0651975,
        0.0677401,
        0.0672425,
        0.0612835,
        0.0539525,
        0.0483184,
        0.0458666,
        0.0449249,
        0.0443838,
        0.0442656,
        0.0447765,
        0.0457082,
        0.0466761,
        0.0473939,
        0.0477702,
        0.0494,
        0.0484047,
        0.0510154,
        0.0565889,
        0.0599124,
        0.0626082,
        0.0576988,
        0.050097,
        0.0459681,
        0.0441241,
        0.0450637,
        0.0444713,
        0.0427693,
        0.0425279,
        0.0423786,
        0.0423399,
        0.0435657,
        0.0445737,
        0.0435692,
        0.0452288,
        0.0479759,
        0.0507783,
        0.0573408,
        0.0543288,
        0.0526314,
        0.0488705,
        0.0449143,
        0.0447439,
        0.0453392,
        0.0461589,
        0.0471718,
        0.0472211,
        0.0475304,
        0.0476594,
        0.0485164,
        0.0495088,
        0.0507382,
        0.0519186,
        0.0519118,
        0.0519545,
        0.0514336,
        0.0542523,
        0.0556982,
        0.0557307,
        0.0608976,
        0.0682223,
        0.0719892,
        0.0693261,
        0.0635832,
        0.0578898,
        0.0541246,
        0.0527413,
        0.0532089,
        0.0540577,
        0.0556365,
        0.0599436,
        0.0677955,
        0.0774293,
        0.0839411,
        0.081944,
        0.0752749,
        0.0687295,
        0.0646917,
        0.0631687,
        0.0627883,
        0.0631401,
        0.0649927,
        0.0668806,
        0.0696437,
        0.0717093,
        0.0725982,
        0.0752157,
        0.0780806,
        0.0829626,
        0.0902289,
        0.0983878,
        0.106121,
        0.11178,
        0.116449,
        0.121817,
        0.128699,
        0.138181,
        0.149939,
        0.170281,
        0.292706,
        0.178981,
        0.157607,
        0.131713,
        0.117936,
        0.111048,
        0.105208,
        0.100512,
        0.0967815,
        0.0969398,
        0.101977,
        0.111096,
        0.120208,
        0.124513,
        0.121843,
        0.114411,
        0.107761,
        0.107889,
        0.109199,
        0.109645,
        0.114003,
        0.122505,
        0.135492,
        0.155703,
        0.191281,
        0.249008,
        0.19226,
        0.148234,
        0.123846,
        0.105035,
        0.0912133,
        0.0820885,
        0.0748897,
        0.0715131,
        0.0697577,
        0.0680257,
        0.0691257,
        0.069085,
        0.0670796,
        0.0632981,
        0.0593908,
        0.055631,
        0.05379,
        0.0534551,
        0.0526673,
        0.0522864,
        0.0504947,
        0.0505255,
        0.0495595,
        0.049002,
        0.0489661,
        0.049241,
        0.0491767,
        0.0491271,
        0.0491576,
        0.0497818,
        0.0507967,
        0.0507354,
        0.0514372,
        0.0564817,
        0.0554845,
        0.0509807,
        0.0530635,
        0.0572726,
        0.0607719,
        0.0620407,
        0.0604149,
        0.0562034,
        0.0518892,
        0.049228,
        0.0484645,
        0.048071,
        0.0483977,
        0.0515158,
        0.0538303,
        0.050293,
        0.0504086,
        0.0503271,
        0.0492286,
        0.0486791,
        0.0482384,
        0.0482917,
        0.0484744,
        0.0487001,
        0.0491178,
        0.0501218,
        0.0515615,
        0.0529184,
        0.0562599,
        0.05933,
        0.068688,
        0.0710658,
        0.0680678,
        0.0747269,
        0.0887619,
        0.0973816,
        0.094573,
        0.0942136,
        0.0947588,
        0.106957,
        0.116554,
        0.118506,
        0.137798,
        0.171905,
        0.232046,
        0.15664,
        0.134172,
        0.120153,
        0.108413,
        0.0953598,
        0.0808875,
        0.0708929,
        0.0647207,
        0.061376,
        0.0579712,
        0.0555713,
        0.0541871,
        0.0529591,
        0.0527846,
        0.0565051,
        0.0579248,
        0.0534216,
        0.0530102,
        0.0524576,
        0.0517184,
        0.0504719,
        0.0500352,
        0.0513483,
        0.0542513,
        0.0649237,
        0.0727719,
        0.0724156,
        0.0763304,
        0.0878997,
        0.0958224,
        0.0835282,
        0.0799645,
        0.0720308,
        0.0621247,
        0.0542133,
        0.0494082,
        0.0477639,
        0.0467319,
        0.0456625,
        0.053022,
        0.0523206,
        0.0439391,
        0.0436379,
        0.0437989,
        0.0439951,
        0.043926,
        0.0461304,
        0.047848,
        0.0495554,
        0.053966,
        0.0592129,
        0.0584278,
        0.0559243,
        0.0517516,
        0.0483982,
        0.0461318,
        0.0451458,
        0.045092,
        0.0460623,
        0.0482335,
        0.0511073,
        0.0557882,
        0.0571544,
        0.0527775,
        0.0504857,
        0.0469883,
        0.0469963,
        0.0475777,
        0.0483707,
        0.0489999,
        0.0495446,
        0.0501452,
        0.0500017,
        0.0501863,
        0.0503373,
        0.0519838,
        0.0544833,
        0.0574654,
        0.0596139,
        0.0607529,
        0.0616188,
        0.0624899,
        0.0640266,
        0.0664421,
        0.0689634,
        0.085139,
        0.0917437,
        0.0866016,
        0.0952987,
        0.10621,
        0.142472,
        0.134939,
        0.119569,
        0.0954751,
        0.0777557,
        0.0709441,
        0.0679961,
        0.0657775,
        0.0653499,
        0.0640752,
        0.060848,
        0.0571377,
        0.056035,
        0.0521341,
        0.0497556,
        0.048801,
        0.0480365,
        0.046808,
        0.0461534,
        0.0463035,
        0.0459262,
        0.045533,
        0.0451056,
        0.0446538,
        0.0446338,
        0.0445041,
        0.0443564,
        0.044446,
        0.0448205,
        0.0447699,
        0.0445717,
        0.0448899,
        0.0448647,
        0.0459873,
        0.045902,
        0.0462375,
        0.0471039,
        0.049128,
        0.0520157,
        0.0554958,
        0.059774,
        0.0608193,
        0.0570248,
        0.0536325,
        0.0506562,
        0.0490284,
        0.0491218,
        0.0564026,
        0.059452,
        0.0584499,
        0.0645232,
        0.0684841,
        0.0678343,
        0.0638504,
        0.0676062,
        0.0644086,
        0.0547267,
        0.0543181,
        0.0550219,
        0.0561859,
        0.0569449,
        0.0573199,
        0.0576993,
        0.0571475,
        0.0571741,
        0.0587558,
        0.0621238,
        0.0671941,
        0.0745076,
        0.0828238,
        0.0861985,
        0.0814427,
        0.072626,
        0.0637249,
        0.0573058,
        0.0532915,
        0.0503094,
        0.0482417,
        0.0474589,
        0.0468161,
        0.0463727,
        0.0457778,
        0.0461035,
        0.0457477,
        0.0504153,
        0.0524323,
        0.0471477,
        0.0499367,
        0.059504,
        0.0649942,
        0.0606544,
        0.058822,
        0.0547731,
        0.0501155,
        0.0478855,
        0.0474748,
        0.0486956,
        0.0510356,
        0.0529787,
        0.0538297,
        0.0526654,
        0.050453,
        0.0483282,
        0.0468696,
        0.0460441,
        0.0459037,
        0.046365,
        0.0471644,
        0.0481628,
        0.0470095,
        0.0469998,
        0.0473038,
        0.0481474,
        0.048727,
        0.0494623,
        0.049437,
        0.0481886,
        0.047709,
        0.0476044,
        0.0475502,
        0.0474786,
        0.047398,
        0.0480053,
        0.0483713,
        0.0481444,
        0.047161,
        0.0465472,
        0.0473278,
        0.0474571,
        0.0467623,
        0.049104,
        0.0529655,
        0.0574432,
        0.0595631,
        0.0589307,
        0.0586583,
        0.0542926,
        0.048406,
        0.0472325,
        0.0466071,
        0.0458167,
        0.0458415,
        0.0472969,
        0.0470061,
        0.0475342,
        0.0484288,
        0.050295,
        0.0523377,
        0.0534818,
        0.0533529,
        0.0530171,
        0.0515457,
        0.0498078,
        0.0485383,
        0.0486282,
        0.0484279,
        0.048793,
        0.0507061,
        0.0536535,
        0.0586654,
        0.0651004,
        0.0713503,
        0.0737634,
        0.0715693,
        0.0663586,
        0.0627197,
        0.0621622,
        0.0632712,
        0.065988,
        0.0684978,
        0.0706062,
        0.0751959,
        0.0813656,
        0.0866037,
        0.0921702,
        0.0955031,
        0.0987557,
        0.124031,
        0.153178,
        0.125233,
        0.108089,
        0.0965046,
        0.0885906,
        0.0824459,
        0.0766076,
        0.0729563,
        0.0701782,
        0.0673681,
        0.065243,
        0.0656175,
        0.0619842,
        0.0579881,
        0.0583315,
        0.0565058,
        0.0559891,
        0.0566311,
        0.0571423,
        0.0594274,
        0.0657475,
        0.0755045,
        0.0884122,
        0.0969649,
        0.09868,
        0.0889733,
        0.0769494,
        0.0666703,
        0.060067,
        0.0587494,
        0.0606874,
        0.0650828,
        0.0674543,
        0.0674026,
        0.0652077,
        0.0603349,
        0.0551277,
        0.0524158,
        0.0512213,
        0.0498435,
        0.0498268,
        0.0499308,
        0.0500805,
        0.0513015,
        0.0517391,
        0.052705,
        0.0558705,
        0.0603895,
        0.0662018,
        0.0732206,
        0.0773867,
        0.0767528,
        0.0712439,
        0.0658278,
        0.0611586,
        0.058464,
        0.0569662,
        0.0564728,
        0.057632,
        0.0599675,
        0.0635138,
        0.0685773,
        0.074554,
        0.0773325,
        0.0851123,
        0.0903089,
        0.0758926,
        0.0720382,
        0.0674744,
        0.0635518,
        0.0608261,
        0.0585373,
        0.0571941,
        0.0556757,
        0.0540624,
        0.0516788,
        0.0510939,
        0.0507737,
        0.050107,
        0.0533558,
        0.0536721,
        0.0500776,
        0.0501728,
        0.0504245,
        0.0507677,
        0.0513918,
        0.0521785,
        0.0543646,
        0.0582959,
        0.0615505,
        0.0632927,
        0.0631282,
        0.0612481,
        0.0580607,
        0.0611914,
        0.0607698,
        0.0540791,
        0.0548727,
        0.0582902,
        0.0655512,
        0.0722672,
        0.0756308,
        0.0752933,
        0.0700136,
        0.0624919,
        0.0566313,
        0.0532693,
        0.0522002,
        0.0514296,
        0.0508357,
        0.0507811,
        0.0510681,
        0.0514376,
        0.0512901,
        0.0511951,
        0.0512113,
        0.0513364,
        0.051066,
        0.0531276,
        0.0528106,
        0.0507053,
        0.0507448,
        0.0507728,
        0.0509047,
        0.0512911,
        0.0513419,
        0.052061,
        0.0524051,
        0.0530464,
        0.0533447,
        0.0532917,
        0.053068,
        0.0524657,
        0.0518956,
        0.0514571,
        0.0517805,
        0.0518093,
        0.0523786,
        0.0541021,
        0.0564675,
        0.0595938,
        0.0628437,
        0.0642787,
        0.0627161,
        0.0613465,
        0.0580111,
        0.0548393,
        0.053912,
        0.05422,
        0.054457,
        0.0551713,
        0.0552512,
        0.055807,
        0.0576091,
        0.0606539,
        0.0657073,
        0.0711885,
        0.0735428,
        0.0727042,
        0.0695872,
        0.0688372,
        0.0625231,
        0.0603742,
        0.0605532,
        0.0614784,
        0.0624789,
        0.064077,
        0.0677331,
        0.0712929,
        0.0758391,
        0.0847035,
        0.0969966,
        0.116752,
        0.133332,
        0.132349,
        0.132065,
        0.126294,
        0.121817,
        0.119914,
        0.12059,
        0.122697,
        0.128483,
        0.142535,
        0.163547,
        0.196718,
        0.271306,
        0.225385,
        0.200682,
        0.190272,
        0.179497,
        0.164066,
        0.1442,
        0.123366,
        0.115142,
        0.108874,
        0.091135,
        0.0865215,
        0.0835902,
        0.083001,
        0.0844204,
        0.0836203,
        0.0840736,
        0.0847908,
        0.0845839,
        0.0831913,
        0.0825133,
        0.0841302,
        0.0858223,
        0.0884091,
        0.0924326,
        0.0981177,
        0.111593,
        0.121765,
        0.132017,
        0.146975,
        0.165612,
        0.198911,
        0.393827,
        0.236783,
        0.172939,
        0.156629,
        0.136114,
        0.123625,
        0.11868,
        0.117633,
        0.120396,
        0.118892,
        0.115061,
        0.107478,
        0.0973978,
        0.0886383,
        0.0834264,
        0.0792336,
        0.0758299,
        0.0742698,
        0.0725767,
        0.071419,
        0.0704501,
        0.0694975,
        0.0676521,
        0.0665341,
        0.0653279,
        0.0651573,
        0.0647563,
        0.0645,
        0.0642157,
        0.0630611,
        0.0623913,
        0.0626189,
        0.0624017,
        0.062874,
        0.0645647,
        0.0672757,
        0.0701914,
        0.0731854,
        0.0717945,
        0.0686778,
        0.0644886,
        0.0618069,
        0.0611597,
        0.0613435,
        0.0615285,
        0.0622809,
        0.0629603,
        0.0621726,
        0.0620787,
        0.0601906,
        0.0600224,
        0.0603305,
        0.0611004,
        0.0636539,
        0.0634947,
        0.06158,
        0.0605366,
        0.0601153,
        0.0603395,
        0.0607475,
        0.0613592,
        0.0618253,
        0.0625972,
        0.0635222,
        0.0681106,
        0.073972,
        0.0803099,
        0.0826437,
        0.0819134,
        0.0780195,
        0.0737172,
        0.0699898,
        0.0712094,
        0.0766952,
        0.0822478,
        0.0874193,
        0.0892984,
        0.0886385,
        0.0836633,
        0.0790423,
        0.0779063,
        0.0747217,
        0.071245,
        0.0702717,
        0.0694833,
        0.0751831,
        0.0784662,
        0.0835011,
        0.0866896,
        0.0851484,
        0.0814494,
        0.0770067,
        0.074471,
        0.0756375,
        0.076937,
        0.0777992,
        0.0760885,
        0.0756895,
        0.0753837,
        0.0791988,
        0.08368,
        0.0889172,
        0.0907079,
        0.0896732,
        0.0858588,
        0.0828665,
        0.0804315,
        0.0814923,
        0.0849334,
        0.0879213,
        0.09306,
        0.100995,
        0.114714,
        0.11815,
        0.118352,
        0.114487,
        0.114508,
        0.11661,
        0.12012,
        0.122741,
        0.164382,
        0.227947,
        0.212631,
        0.183303,
        0.165153,
        0.158778,
        0.150039,
        0.141614,
        0.128182,
        0.11671,
        0.101377,
        0.0921304,
        0.0865693,
        0.0937239,
        0.0978559,
        0.0942814,
        0.0978256,
        0.0995966,
        0.0952408,
        0.0880593,
        0.0826165,
        0.0803304,
        0.0796919,
        0.081065,
        0.0803868,
        0.0774988,
        0.0753246,
        0.0734468,
        0.0718867,
        0.0704396,
        0.0693875,
        0.069655,
        null,
        null,
        0.213667,
        0.208577,
        0.212005,
        0.228776,
        0.141531,
        0.129028,
        0.120054,
        0.112925,
        0.105851,
        0.0997463,
        0.0948769,
        0.0907764,
        0.088536,
        0.0857395,
        0.083176,
        0.0805851,
        0.0789835,
        0.078692,
        0.0786733,
        0.0779235,
        0.0758963,
        0.0736841,
        0.0727389,
        0.0733027,
        0.0742736,
        0.0737246,
        0.0733011,
        0.0707527,
        0.0674575,
        0.0658066,
        0.0656915,
        0.0658526,
        0.0657696,
        0.0656926,
        0.0658508,
        0.0662105,
        0.0659759,
        0.0647972,
        0.0637445,
        0.0624926,
        0.0618137,
        0.0615486,
        0.0614898,
        0.062015,
        0.0630024,
        0.0643883,
        0.0664959,
        0.0691181,
        0.0731686,
        0.0858982,
        0.0957445,
        0.100372,
        0.100065,
        0.0940496,
        0.0843445,
        0.0758522,
        0.0697838,
        0.0653228,
        0.0621691,
        0.059619,
        0.0577226,
        0.056173,
        0.0551886,
        0.0546262,
        0.0546889,
        0.0548116,
        0.0581116,
        0.0580655,
        0.0552785,
        0.056422,
        0.0582962,
        0.0595254,
        0.0597498,
        0.0589747,
        0.0572196,
        0.0561097,
        0.0559857,
        0.0562386,
        0.0564699,
        0.0558131,
        0.0548036,
        0.0544752,
        0.0550284,
        0.0579811,
        0.0615468,
        0.0684747,
        0.0711586,
        0.0695713,
        0.0675351,
        0.0642487,
        0.0616735,
        0.0614594,
        0.0646968,
        0.069432,
        0.0728919,
        0.0752319,
        0.077,
        0.0781904,
        0.0804006,
        0.0838037,
        0.0865354,
        0.0856714,
        0.082336,
        0.0769376,
        0.0722999,
        0.0679845,
        0.0650688,
        0.0630909,
        0.0617387,
        0.0601812,
        0.0579984,
        0.0564893,
        0.0550704,
        0.0543355,
        0.0535678,
        0.0531058,
        0.052433,
        0.0514479,
        0.050532,
        0.050198,
        0.0502494,
        0.051211,
        0.0529853,
        0.0546041,
        0.0551693,
        0.0552766,
        0.0554765,
        0.0561285,
        0.0564598,
        0.0564798,
        0.0547903,
        0.0521839,
        0.0502921,
        0.0500023,
        0.0502974,
        0.0507767,
        0.0513405,
        0.0524419,
        0.0533025,
        0.0540079,
        0.0544714,
        0.0550234,
        0.0549668,
        0.054652,
        0.0541751,
        0.053698,
        0.0536686,
        0.0540045,
        0.0546306,
        0.0551463,
        0.0560476,
        0.0574098,
        0.0593323,
        0.0618512,
        0.0650705,
        0.0687662,
        0.0741913,
        0.0832199,
        0.0949888,
        0.10967,
        0.124386,
        0.129475,
        0.119257,
        0.103158,
        0.0905434,
        0.0826585,
        0.0776446,
        0.0719132,
        0.0684845,
        0.0640746,
        0.0592752,
        0.0580844,
        0.0577597,
        0.0572308,
        0.056598,
        0.0552897,
        0.0543429,
        0.053191,
        0.0522018,
        0.0514916,
        0.0511944,
        0.0541617,
        0.053443,
        0.0496783,
        0.0506087,
        0.0527221,
        0.0549561,
        0.0562516,
        0.0562221,
        0.0554089,
        0.0550804,
        0.0563742,
        0.0587142,
        0.0593433,
        0.0580799,
        0.0546247,
        0.052454,
        0.0512976,
        0.0511862,
        0.0519968,
        0.0531847,
        0.0553851,
        0.0577127,
        0.0596589,
        0.0602776,
        0.0599759,
        0.0594695,
        0.0594215,
        0.0599068,
        0.0614431,
        0.0633789,
        0.0657534,
        0.0683259,
        0.0687684,
        0.0679528,
        0.0668921,
        0.0662053,
        0.0677098,
        0.0714796,
        0.0768139,
        0.0846251,
        0.0893528,
        0.0895326,
        0.0903431,
        0.0884777,
        0.0846433,
        0.0805533,
        0.0798227,
        0.0951314,
        0.0946856,
        0.0795858,
        0.0754626,
        0.0713476,
        0.0690453,
        0.0671698,
        0.0664258,
        0.0670637,
        0.0683957,
        0.0699684,
        0.0719218,
        0.0745544,
        0.0777116,
        0.0810843,
        0.0843504,
        0.086406,
        0.0884917,
        0.0901112,
        0.0929169,
        0.0971031,
        0.102685,
        0.10773,
        0.112795,
        0.11698,
        0.119363,
        0.121562,
        0.126237,
        0.134637,
        0.145649,
        0.158283,
        0.175043,
        0.241489,
        0.199842,
        0.178003,
        0.1673,
        0.16033,
        0.150936,
        0.144331,
        0.142563,
        0.139765,
        0.13299,
        0.126899,
        0.124772,
        0.122967,
        0.117744,
        0.112021,
        0.107854,
        0.109787,
        0.10561,
        0.0959978,
        0.095303,
        0.0947811,
        0.0930793,
        0.0918106,
        0.0906865,
        0.0906398,
        0.0914365,
        0.0946242,
        0.0972671,
        0.101672,
        0.106938,
        0.118662,
        0.136411,
        0.160706,
        0.200627,
        0.161761,
        0.129201,
        0.109033,
        0.0970574,
        0.0887853,
        0.0823663,
        0.0759713,
        0.0730483,
        0.0709483,
        0.068974,
        0.0682416,
        0.068086,
        0.0675068,
        0.0678243,
        0.0685302,
        0.0697675,
        0.0714125,
        0.0722606,
        0.0705931,
        0.0683941,
        0.0661766,
        0.0648893,
        0.0630241,
        0.0621515,
        0.0615555,
        0.060323,
        0.0596476,
        0.0612197,
        0.0600444,
        0.0578088,
        0.0577425,
        0.0573922,
        0.0576132,
        0.0589613,
        0.0593333,
        0.060129,
        0.061057,
        0.0627744,
        0.0655549,
        0.0686042,
        0.0744872,
        0.0829149,
        0.093362,
        0.107247,
        0.126083,
        0.155577,
        0.19069,
        0.243683,
        0.216458,
        0.174274,
        0.149988,
        0.134349,
        0.121103,
        0.106595,
        0.0947707,
        0.0834895,
        0.0759412,
        0.0700642,
        0.0655989,
        0.0618214,
        0.0590567,
        0.0566395,
        0.0551397,
        0.0543735,
        0.053118,
        0.051996,
        0.0516782,
        0.051296,
        0.0508373,
        0.0506229,
        0.051342,
        0.0526663,
        0.0558304,
        0.0599654,
        0.0637013,
        0.0638719,
        0.0621854,
        0.0594952,
        0.0569516,
        0.0560409,
        0.056424,
        0.0570876,
        0.0597729,
        0.0633874,
        0.0678788,
        0.0756106,
        0.083125,
        0.0826399,
        0.0828373,
        0.0777652,
        0.0699416,
        0.0654645,
        0.0625888,
        0.0604503,
        0.0589742,
        0.0601817,
        0.0602055,
        0.0578699,
        0.0577683,
        0.0568194,
        0.0560019,
        0.0557139,
        0.0591797,
        0.0602089,
        0.0605512,
        0.0604496,
        0.0585552,
        0.0601668,
        0.0618176,
        0.06413,
        0.0659653,
        0.0681244,
        0.0716761,
        0.076627,
        0.0821225,
        0.0888439,
        0.0977536,
        0.106739,
        0.124266,
        0.137701,
        0.141253,
        0.167916,
        0.14375,
        0.127774,
        0.117527,
        0.112609,
        0.107968,
        0.102951,
        0.0989309,
        0.092336,
        0.0862631,
        0.0806574,
        0.0749539,
        0.0716387,
        0.0699949,
        0.0688502,
        0.0689296,
        0.0691306,
        0.070267,
        0.071169,
        0.0804575,
        0.0786436,
        0.0784094,
        0.0822248,
        0.0884042,
        0.100713,
        0.114508,
        0.124708,
        0.146152,
        0.177498,
        0.227342,
        0.202499,
        0.157868,
        0.131242,
        0.112674,
        0.1,
        0.0912136,
        0.0857419,
        0.0835261,
        0.0822683,
        0.0791635,
        0.0748627,
        0.069603,
        0.0653719,
        0.0639119,
        0.0623232,
        0.0607385,
        0.0612187,
        0.0613786,
        0.0606074,
        0.0596806,
        0.0585397,
        0.0580081,
        0.058237,
        0.0584228,
        0.0588737,
        0.058423,
        0.0573423,
        0.0562488,
        0.0549437,
        0.0531732,
        0.0517686,
        0.0505705,
        0.0500559,
        0.0496741,
        0.049602,
        0.0494076,
        0.049328,
        0.0492271,
        0.049028,
        0.0483097,
        0.048608,
        0.04906,
        0.0494364,
        0.0498084,
        0.0503929,
        0.0523891,
        0.0554442,
        0.0588109,
        0.0635339,
        0.0677307,
        0.0723034,
        0.0765743,
        0.078631,
        0.0770945,
        0.0724932,
        0.0668171,
        0.0620393,
        0.0582944,
        0.0584952,
        0.0575931,
        0.0548696,
        0.0536334,
        0.0535215,
        0.0539601,
        0.0547692,
        0.0551029,
        0.0556673,
        0.0555496,
        0.0547837,
        0.0597632,
        0.0600347,
        0.0534643,
        0.0530442,
        0.0539484,
        0.0556111,
        0.0573787,
        0.060148,
        0.0638685,
        0.0669945,
        0.0683676,
        0.0677707,
        0.0643782,
        0.059908,
        0.0559141,
        0.0531878,
        0.0507565,
        0.049119,
        0.0478131,
        0.047145,
        0.0469585,
        0.0470832,
        0.0475254,
        0.0481807,
        0.0478364,
        0.0499128,
        0.0490836,
        0.0452214,
        0.0453117,
        0.0456136,
        0.0455965,
        0.0470779,
        0.0487478,
        0.0503566,
        0.0524382,
        0.0551213,
        0.0569324,
        0.0562998,
        0.0545746,
        0.0541303,
        0.0524775,
        0.0518264,
        0.0521643,
        0.0533572,
        0.05466,
        0.0626915,
        0.0616292,
        0.0590599,
        0.0593931,
        0.0590386,
        0.0568621,
        0.0540546,
        0.0527741,
        0.0530958,
        0.0541432,
        0.0549371,
        0.0546123,
        0.0533622,
        0.0528074,
        0.0527526,
        0.052541,
        0.0516907,
        0.0501207,
        0.0489463,
        0.0486783,
        0.0487725,
        0.0500056,
        0.0514885,
        0.0537884,
        0.055849,
        0.0573618,
        0.0628636,
        0.0606505,
        0.0584058,
        0.066164,
        0.0636569,
        0.0605832,
        0.0608336,
        0.0606999,
        0.0609783,
        0.0606616,
        0.060749,
        0.0608711,
        0.0632691,
        0.0663853,
        0.0686391,
        0.0712094,
        0.0737975,
        0.0753606,
        0.0765357,
        0.0799385,
        0.0872071,
        0.0966759,
        0.107256,
        0.120801,
        0.140234,
        0.296582,
        0.232269,
        0.18623,
        0.15765,
        0.138277,
        0.123274,
        0.109086,
        0.0987061,
        0.0906487,
        0.0853602,
        0.080716,
        0.0789897,
        0.0758688,
        0.0725951,
        0.070763,
        0.0680015,
        0.0640174,
        0.0625848,
        0.0622029,
        0.0606504,
        0.0571451,
        0.0572503,
        0.0588401,
        0.061401,
        0.0625023,
        0.0619405,
        0.0602614,
        0.0566805,
        0.0528123,
        0.0501907,
        0.0492612,
        0.0491389,
        0.0494617,
        0.0513107,
        0.0510039,
        0.052192,
        0.0513388,
        0.0492321,
        0.0493439,
        0.0502317,
        0.0503849,
        0.0519331,
        0.0535749,
        0.0561519,
        0.0592046,
        0.0635789,
        0.0694731,
        0.0741569,
        0.0745182,
        0.074384,
        0.0720968,
        0.0683263,
        0.0644897,
        0.0613371,
        0.058071,
        0.0559897,
        0.0548783,
        0.0543809,
        0.0537702,
        0.0546763,
        0.0548567,
        0.053704,
        0.0546042,
        0.0566605,
        0.0616587,
        0.0678222,
        0.0742498,
        0.078283,
        0.077582,
        0.0755112,
        0.0712156,
        0.0706415,
        0.0647925,
        0.0563356,
        0.0534652,
        0.0522745,
        0.0505787,
        0.0492341,
        0.0481758,
        0.0476607,
        0.0473651,
        0.0473062,
        0.0473706,
        0.0474849,
        0.0485044,
        0.0494879,
        0.0502318,
        0.0512748,
        0.0525166,
        0.054678,
        0.0564806,
        0.0581473,
        0.0582165,
        0.0558152,
        0.0523003,
        0.0491504,
        0.0471547,
        0.0465026,
        0.0459752,
        0.0471828,
        0.0473634,
        0.0471857,
        0.0470194,
        0.0496882,
        0.0521254,
        0.0535952,
        0.0538562,
        0.0530836,
        0.0519267,
        0.0508244,
        0.0487336,
        0.0487744,
        0.0489194,
        0.0487068,
        0.0505504,
        0.0495897,
        0.0498893,
        0.0491721,
        0.0500178,
        0.0520103,
        0.0531539,
        0.05287,
        0.0555518,
        0.0597745,
        0.0594601,
        0.0544547,
        0.0602824,
        0.0592179,
        0.0561498,
        0.0553261,
        0.0566246,
        0.0588243,
        0.0607008,
        0.0626542,
        0.060869,
        0.0606868,
        0.0575537,
        0.0546274,
        0.0552329,
        0.0556718,
        0.061647,
        0.0632158,
        0.0632828,
        0.0607962,
        0.0582781,
        0.0567172,
        0.056166,
        0.0573949,
        0.0595013,
        0.0617972,
        0.0615526,
        0.0623682,
        0.0625105,
        0.0643599,
        0.0667025,
        0.0685819,
        0.0713318,
        0.0748559,
        0.0791684,
        0.083639,
        0.0911382,
        0.0991152,
        0.108413,
        0.122019,
        0.138614,
        0.161584,
        0.200114,
        0.254575,
        0.170522,
        0.147975,
        0.129458,
        0.116886,
        0.108907,
        0.103217,
        0.09919,
        0.101088,
        0.101481,
        0.100091,
        0.107175,
        0.119108,
        0.134595,
        0.159255,
        0.183567,
        0.129877,
        0.108611,
        0.0926594,
        0.0819657,
        0.0761547,
        0.0717026,
        0.0667994,
        0.0675756,
        0.0673948,
        0.0676379,
        0.0673425,
        0.0690044,
        0.0705578,
        0.0699802,
        0.0772393,
        0.0745386,
        0.0638535,
        0.0601805,
        0.0612334,
        0.0617206,
        0.064584,
        0.0675772,
        0.0712843,
        0.0718374,
        0.0749007,
        0.0757117,
        0.068713,
        0.0674018,
        0.0657015,
        0.064089,
        0.0649153,
        0.0651934,
        0.0668327,
        0.0772847,
        0.0767446,
        0.0703369,
        0.0699922,
        0.0687201,
        0.0656816,
        0.0623134,
        0.0596037,
        0.0567297,
        0.055155,
        0.0543756,
        0.054883,
        0.0551246,
        0.0562514,
        0.0571231,
        0.0548572,
        0.0545886,
        0.0561336,
        0.0581976,
        0.0589271,
        0.0614831,
        0.0612248,
        0.0605939,
        0.0591047,
        0.0563956,
        0.0552368,
        0.0638884,
        0.0626702,
        0.0554166,
        0.0521052,
        0.0501971,
        0.0500039,
        0.0493669,
        0.0500566,
        0.0501198,
        0.0503176,
        0.0508024,
        0.0501973,
        0.0492788,
        0.0485793,
        0.0480268,
        0.0480079,
        0.0473953,
        0.0473022,
        0.0479705,
        0.0481835,
        0.0478341,
        0.0482362,
        0.0479012,
        0.0475592,
        0.0475799,
        0.0478943,
        0.0480464,
        0.0482862,
        0.0481787,
        0.0498781,
        0.0496963,
        0.0486003,
        0.049037,
        0.0499146,
        0.0504544,
        0.0512774,
        0.0525684,
        0.0537435,
        0.0554361,
        0.0568405,
        0.0574183,
        0.0586637,
        0.063886,
        0.0651453,
        0.0588898,
        0.058581,
        0.0589327,
        0.0597961,
        0.060835,
        0.0602636,
        0.0606106,
        0.0628985,
        0.0648334,
        0.064782,
        0.0655274,
        0.0660124,
        0.0670893,
        0.0673965,
        0.0672347,
        0.0677401,
        0.0680739,
        0.069212,
        0.0707779,
        0.0725518,
        0.0739034,
        0.0749005,
        0.0750468,
        0.0741985,
        0.0737021,
        0.0737098,
        0.0737003,
        0.0743126,
        0.0757555,
        0.0783076,
        0.0796043,
        0.0818525,
        0.0865582,
        0.0939787,
        0.0999976,
        0.104787,
        0.111079,
        0.121404,
        0.134755,
        0.150919,
        0.200255,
        0.231491,
        0.213916,
        0.17805,
        0.155555,
        0.137686,
        0.123647,
        0.112425,
        0.106683,
        0.102138,
        0.0973566,
        0.0943157,
        0.0904758,
        0.0878565,
        0.0890635,
        0.0876534,
        0.0857786,
        0.0855423,
        0.0867102,
        0.0876153,
        0.086367,
        0.0849745,
        0.0842963,
        0.0836572,
        0.0805416,
        0.0792016,
        0.0774128,
        0.0739926,
        0.0726631,
        0.0711614,
        0.0694522,
        0.0682706,
        0.0690152,
        0.0701536,
        0.0707362,
        0.0726249,
        0.0850653,
        0.0886384,
        0.0846924,
        0.0918247,
        0.0999667,
        0.104009,
        0.104055,
        0.0984883,
        0.0912344,
        0.0838438,
        0.0773261,
        0.0718799,
        0.0676842,
        0.0652323,
        0.0652184,
        0.0638497,
        0.0622421,
        0.0617032,
        0.061352,
        0.0613251,
        0.0625577,
        0.0611357,
        0.060091,
        0.0599945,
        0.0613501,
        0.0622222,
        0.0619953,
        0.0617921,
        0.0628817,
        0.0650711,
        0.0671666,
        0.0683362,
        0.0680426,
        0.0666626,
        0.0657587,
        0.0659871,
        0.0666384,
        0.067162,
        0.0674274,
        0.0671002,
        0.0653188,
        0.0632236,
        0.062297,
        0.0620614,
        0.0624504,
        0.0631217,
        0.0638815,
        0.0623783,
        0.062082,
        0.0619691,
        0.0619132,
        0.0619214,
        0.0628304,
        0.0633502,
        0.0634636,
        0.0644295,
        0.0639735,
        0.0647537,
        0.0659147,
        0.0665183,
        0.0667368,
        0.0670253,
        0.0683265,
        0.0687341,
        0.0697611,
        0.0701467,
        0.0691835,
        0.068765,
        0.0688032,
        0.0690486,
        0.0752039,
        0.0805372,
        0.0694439,
        0.070358,
        0.0719529,
        0.0742336,
        0.0897341,
        0.0936269,
        0.0791756,
        0.0784096,
        0.0780216,
        0.076632,
        0.0763291,
        0.0767787,
        0.0774787,
        0.0821769,
        0.0832362,
        0.0811136,
        0.0821542,
        0.0814539,
        0.0812015,
        0.0813794,
        0.082117,
        0.0833644,
        0.0850073,
        0.0873024,
        0.0903242,
        0.0926313,
        0.0959165,
        0.0992708,
        0.101229,
        0.1026,
        0.103926,
        0.105247,
        0.111141,
        0.113588,
        0.113317,
        0.115116,
        0.116571,
        0.117951,
        0.12049,
        0.125904,
        0.131586,
        0.136101,
        0.140287,
        0.146267,
        0.154879,
        0.163449,
        0.193934,
        0.23469,
        0.287771,
        0.250711,
        0.237877,
        0.221026,
        0.178983,
        0.180904,
        0.18266,
        0.202407,
        0.182258,
        0.180889,
        0.181069,
        0.185509,
        0.189322,
        0.192728,
        0.192745,
        0.195953,
        0.203567,
        0.206032,
        0.207591,
        0.259084,
        0.268987,
        null,
        0.243787,
        0.230665,
        0.196345,
        0.175337,
        0.15715,
        0.149868,
        0.143013,
        0.138444,
        0.136172,
        0.134141,
        0.13177,
        0.127897,
        0.122895,
        0.120593,
        0.120562,
        0.121984,
        0.126112,
        0.146556,
        0.145754,
        0.126883,
        0.123086,
        0.116264,
        0.110959,
        0.106342,
        0.104227,
        0.1013,
        0.0985462,
        0.0966325,
        0.095894,
        0.0946465,
        0.092329,
        0.0907352,
        0.0912074,
        0.0898788,
        0.0885403,
        0.087114,
        0.0864846,
        0.08889,
        0.0879394,
        0.0841793,
        0.0830828,
        0.0822629,
        0.0813951,
        0.0814513,
        0.0813656,
        0.0813798,
        0.0833375,
        0.0842875,
        0.0845098,
        0.0855909,
        0.0847862,
        0.0822829,
        0.0815961,
        0.0800435,
        0.0798257,
        0.0815158,
        0.0788698,
        0.0779416,
        0.0773726,
        0.0768915,
        0.07711,
        0.077482,
        0.0756909,
        0.0748913,
        0.0737546,
        0.0859618,
        0.086923,
        0.0747883,
        0.0734042,
        0.0738852,
        0.0745219,
        0.0794981,
        0.0805935,
        0.0754991,
        0.0752773,
        0.0746482,
        0.0751796,
        0.0764389,
        0.0782594,
        0.0783313,
        0.0774893,
        0.0771211,
        0.0775941,
        0.0764833,
        0.0749098,
        0.0744221,
        0.0744736,
        0.0751337,
        0.0746791,
        0.0739048,
        0.0739536,
        0.0741746,
        0.0746432,
        0.0751473,
        0.074937,
        0.0745712,
        0.074582,
        0.0735865,
        0.0729827,
        0.0749484,
        0.0748734,
        0.0755212,
        0.0736232,
        0.0730496,
        0.0724799,
        0.0717843,
        0.0718948,
        0.0725285,
        0.0721223,
        0.0720661,
        0.0714864,
        0.0711952,
        0.0714762,
        0.0722205,
        0.0727798,
        0.0744602,
        0.0742497,
        0.0740026,
        0.0789669,
        0.078808,
        0.0750136,
        0.0756287,
        0.0792681,
        0.0816709,
        0.0784229,
        0.077509,
        0.0789604,
        0.0795689,
        0.08051,
        0.0822496,
        0.0835065,
        0.0857408,
        0.0862317,
        0.0884031,
        0.09056,
        0.0917621,
        0.0943285,
        0.0993787,
        0.114079,
        0.117214,
        0.109386,
        0.111036,
        0.114781,
        0.116475,
        0.119576,
        0.125141,
        0.130303,
        0.134082,
        0.140593,
        0.148706,
        0.157426,
        0.172106,
        0.187684,
        0.158785,
        0.146206,
        0.138745,
        0.130671,
        0.123653,
        0.116229,
        0.111805,
        0.109826,
        0.10618,
        0.104372,
        0.102603,
        0.10135,
        0.101454,
        0.110559,
        0.110446,
        0.100197,
        0.100217,
        0.102775,
        0.102979,
        0.104196,
        0.106111,
        0.105584,
        0.10274,
        0.100247,
        0.0962876,
        0.0940601,
        0.0908606,
        0.0888318,
        0.0866527,
        0.0924976,
        0.0975067,
        0.0822865,
        0.0803974,
        0.0805533,
        0.0806241,
        0.0793442,
        0.0790249,
        0.0795107,
        0.0803372,
        0.080091,
        0.0795686,
        0.0791267,
        0.0785741,
        0.0773594,
        0.0764018,
        0.0750433,
        0.0829205,
        0.0823918,
        0.0735416,
        0.0727746,
        0.0722365,
        0.0709595,
        0.0714665,
        0.0714794,
        0.0714002,
        0.0715942,
        0.0727122,
        0.0801492,
        0.0810047,
        0.0732117,
        0.0738081,
        0.072639,
        0.072244,
        0.0718679,
        0.0717771,
        0.071598,
        0.0720118,
        0.0708876,
        0.0726858,
        0.072731,
        0.0731131,
        0.0747846,
        0.0757877,
        0.0759064,
        0.0751136,
        0.0742869,
        0.0753205,
        0.0751732,
        0.0754458,
        0.0742655,
        0.0734691,
        0.0837305,
        0.0834245,
        0.0734938,
        0.0736822,
        0.0738815,
        0.0733877,
        0.0734765,
        0.074087,
        0.0749442,
        0.0761702,
        0.0776209,
        0.0774765,
        0.0772136,
        0.079028,
        0.0804038,
        0.080661,
        0.0861735,
        0.0782826,
        0.0785861,
        0.0803907,
        0.0795907,
        0.0800532,
        0.0815069,
        0.0818017,
        0.0826502,
        0.0838974,
        0.0843328,
        0.0837419,
        0.083411,
        0.0873083,
        0.088205,
        0.0874857,
        0.0881967,
        0.0908312,
        0.0913731,
        0.0916208,
        0.0892373,
        0.0891737,
        0.0888849,
        0.0858273,
        0.0868229,
        0.0921683,
        0.089495,
        0.0957715,
        0.0946567,
        0.0819046,
        0.0828747,
        0.083293,
        0.0851345,
        0.085854,
        0.0876126,
        0.0894878,
        0.0905398,
        0.0912284,
        0.0922942,
        0.0917589,
        0.0944899,
        0.0916483,
        0.093486,
        0.0939687,
        0.0958623,
        0.0981122,
        0.0995187,
        0.102639,
        0.104208,
        0.105455,
        0.107645,
        0.109468,
        0.113505,
        0.118604,
        0.12623,
        0.128378,
        0.134311,
        0.141629,
        0.151853,
        0.16247,
        null,
        0.0658413,
        0.0651519,
        0.0645883,
        0.0637458,
        0.0627609,
        0.0626755,
        0.0622548,
        0.0616304,
        0.061104,
        0.0609155,
        0.0608233,
        0.060696,
        0.0609282,
        0.0612395,
        0.0615077,
        0.0615899,
        0.0617433,
        0.0622749,
        0.062702,
        0.0632573,
        0.0685922,
        0.0695089,
        0.0650588,
        0.0647902,
        0.0693361,
        0.068249,
        0.063006,
        0.062759,
        0.0629361,
        0.062994,
        0.0625353,
        0.0623038,
        0.062771,
        0.0623165,
        0.0614021,
        0.0612575,
        0.0612532,
        0.0613575,
        0.061963,
        0.062194,
        0.0623298,
        0.0624359,
        0.0650088,
        0.0630769,
        0.062774,
        0.0639589,
        0.0636266,
        0.0647558,
        0.0659303,
        0.0671393,
        0.0690527,
        0.0714305,
        0.0736036,
        0.0756971,
        0.0773721,
        0.0791856,
        0.0804466,
        0.0803473,
        0.0788043,
        0.0770567,
        0.0782196,
        0.0774806,
        0.0745869,
        0.0751761,
        0.076235,
        0.0783134,
        0.0804469,
        0.0827675,
        0.0857809,
        0.0880838,
        0.0912864,
        0.0940619,
        0.095951,
        0.0987368,
        0.10409,
        0.110106,
        0.116084,
        0.125716,
        0.138782,
        0.154792,
        0.176784,
        0.158439,
        0.144963,
        0.131742,
        0.121562,
        0.115073,
        0.109652,
        0.105489,
        0.102512,
        0.0991644,
        0.0952906,
        0.0899799,
        0.0854129,
        0.0819302,
        0.0786642,
        0.0752553,
        0.0745167,
        0.0762289,
        0.0710016,
        0.065104,
        0.064394,
        0.0636047,
        0.0625954,
        0.0621397,
        0.0622128,
        0.0630688,
        0.0641161,
        0.063908,
        0.0636402,
        0.0629652,
        0.062716,
        0.0615175,
        0.060415,
        0.0592473,
        0.058451,
        0.0577884,
        0.0572621,
        0.0565328,
        0.0562931,
        0.0561913,
        0.0560157,
        0.0557658,
        0.0559864,
        0.0559324,
        0.0560211,
        0.0563436,
        0.0561014,
        0.0552922,
        0.055253,
        0.0557591,
        0.0560146,
        0.0563628,
        0.0562274,
        0.0560577,
        0.0567907,
        0.05794,
        0.0591432,
        0.0595009,
        0.0589271,
        0.0575684,
        0.0561441,
        0.0546285,
        0.0537421,
        0.0532291,
        0.0528211,
        0.0523642,
        0.0518701,
        0.0518751,
        0.0517256,
        0.0513016,
        0.0512235,
        0.0511281,
        0.0507764,
        0.0504148,
        0.0504158,
        0.0507126,
        0.0508903,
        0.0507602,
        0.0508083,
        0.0508856,
        0.0509996,
        0.0514779,
        0.0514853,
        0.0517086,
        0.0516575,
        0.051396,
        0.0516246,
        0.0513317,
        0.0514383,
        0.0517024,
        0.055003,
        0.0550428,
        0.0533173,
        0.0538458,
        0.0543557,
        0.054985,
        0.0564396,
        0.0570996,
        0.0569797,
        0.0579418,
        0.0583358,
        0.0588241,
        0.0594812,
        0.0604466,
        0.0614486,
        0.0620337,
        0.0615398,
        0.0607287,
        0.0602664,
        0.0594819,
        0.0588135,
        0.0576669,
        0.056957,
        0.0563317,
        0.0563553,
        0.0561729,
        0.0569972,
        0.0571455,
        0.0573275,
        0.0576671,
        0.0579504,
        0.0582815,
        0.0586931,
        0.0590226,
        0.0600814,
        0.0613148,
        0.0617538,
        0.0619073,
        0.062654,
        0.0637921,
        0.0651812,
        0.0666387,
        0.0686827,
        0.0705536,
        0.0724509,
        0.0751279,
        0.0780386,
        0.0821079,
        0.0868855,
        0.0918608,
        0.0983871,
        0.107617,
        0.117721,
        0.130684,
        0.131282,
        0.118983,
        0.109513,
        0.103784,
        0.0970799,
        0.0904155,
        0.0850249,
        0.0807377,
        0.0775553,
        0.0778278,
        0.0769787,
        0.0705883,
        0.0681261,
        0.0657091,
        0.0642459,
        0.0624244,
        0.0604969,
        0.0593272,
        0.0579408,
        0.0570735,
        0.0566468,
        0.0564921,
        0.0612234,
        0.0581855,
        0.0551117,
        0.0552262,
        0.0565185,
        0.0564182,
        0.0570707,
        0.0578547,
        0.0576237,
        0.0567292,
        0.0554239,
        0.0542273,
        0.0528216,
        0.0518971,
        0.0516752,
        0.0513379,
        0.0512916,
        0.0509554,
        0.0509787,
        0.0507271,
        0.0505896,
        0.0500505,
        0.0494839,
        0.04897,
        0.0494691,
        0.053661,
        0.0524028,
        0.0504177,
        0.049767,
        0.0495399,
        0.0491934,
        0.0491754,
        0.0496805,
        0.0497828,
        0.0494588,
        0.0493856,
        0.0490723,
        0.0487878,
        0.0486246,
        0.0483911,
        0.0486659,
        0.0480954,
        0.0479498,
        0.0478565,
        0.0478828,
        0.0477674,
        0.0478984,
        0.0481396,
        0.048453,
        0.0484123,
        0.0486306,
        0.0485414,
        0.0493544,
        0.0500117,
        0.0509196,
        0.052384,
        0.0536977,
        0.0540506,
        0.0544589,
        0.0536148,
        0.0525055,
        0.0513924,
        0.0503633,
        0.0506391,
        0.0501621,
        0.0485124,
        0.0482521,
        0.0483913,
        0.048294,
        0.0481837,
        0.0484311,
        0.0486867,
        0.0481912,
        0.048791,
        0.0488775,
        0.0495436,
        0.0497007,
        0.0492551,
        0.0494314,
        0.0492255,
        0.0487471,
        0.0486349,
        0.0488674,
        0.0488484,
        0.0495729,
        0.0498707,
        0.0495318,
        0.0587772,
        0.0599346,
        0.0508623,
        0.0510763,
        0.0515169,
        0.0518803,
        0.0524943,
        0.0530155,
        0.0541543,
        0.0552368,
        0.0578691,
        0.0590047,
        0.0585964,
        0.0603787,
        0.0618856,
        0.0627633,
        0.0669634,
        0.0713053,
        0.0765795,
        0.0835184,
        0.0915199,
        0.097826,
        0.10021,
        0.0990603,
        0.0950879,
        0.0901657,
        0.0871434,
        0.0867215,
        0.0861817,
        0.0864171,
        0.0891959,
        0.0928982,
        0.0984163,
        0.104699,
        0.113689,
        0.124381,
        0.140384,
        0.16582,
        0.470622,
        0.194922,
        0.166035,
        0.144157,
        0.126438,
        0.114577,
        0.104908,
        0.0979249,
        0.0929844,
        0.0901263,
        0.0875592,
        0.0843413,
        0.0799152,
        0.0759201,
        0.0721522,
        0.0690603,
        0.0670062,
        0.0647299,
        0.0626215,
        0.0652875,
        0.0609723,
        0.0577848,
        0.0564919,
        0.0552494,
        0.0542002,
        0.0541049,
        0.0538209,
        0.0532484,
        0.0526308,
        0.0522417,
        0.0517332,
        0.0509777,
        0.0508421,
        0.0502964,
        0.0500602,
        0.0500224,
        0.0498135,
        0.0490669,
        0.0485609,
        0.0482743,
        0.0480346,
        0.0477212,
        0.047798,
        0.0484791,
        0.0493043,
        0.047482,
        0.0476996,
        0.0479435,
        0.0487363,
        0.0483594,
        0.0481639,
        0.0484472,
        0.0489262,
        0.0497084,
        0.0501273,
        0.0494443,
        0.0503003,
        0.0516942,
        0.0538165,
        0.0556331,
        0.0583883,
        0.0610849,
        0.064175,
        0.0715783,
        0.0714978,
        0.0636612,
        0.0612179,
        0.0596755,
        0.0580216,
        0.0563528,
        0.0553357,
        0.0550843,
        0.0547519,
        0.0542809,
        0.0532867,
        0.0523054,
        0.0513466,
        0.0506799,
        0.0499983,
        0.0515977,
        0.0492198,
        0.0475012,
        0.047036,
        0.0468557,
        0.0470084,
        0.0465711,
        0.0467379,
        0.0468476,
        0.0473636,
        0.0468761,
        0.0464789,
        0.0458308,
        0.0454549,
        0.0452609,
        0.0451938,
        0.0450852,
        0.0452317,
        0.0451329,
        0.0454423,
        0.0454706,
        0.0456809,
        0.0460453,
        0.0468159,
        0.0473773,
        0.0508599,
        0.049823,
        0.0485211,
        0.049035,
        0.0498078,
        0.0500877,
        0.0512574,
        0.0528982,
        0.0552336,
        0.0562752,
        0.0571294,
        0.056822,
        0.0559387,
        0.0558027,
        0.0556793,
        0.0557245,
        0.0556067,
        0.0548685,
        0.0548073,
        0.054949,
        0.0553939,
        0.0560418,
        0.0564106,
        0.0572576,
        0.066449,
        0.067509,
        0.0608052,
        0.0616143,
        0.0630747,
        0.0652761,
        0.068183,
        0.0714033,
        0.0748885,
        0.0777481,
        0.0801471,
        0.0823927,
        0.0828062,
        0.0824358,
        0.0821604,
        0.0813493,
        0.0815198,
        0.0827318,
        0.0849385,
        0.0893854,
        0.093921,
        0.0990438,
        0.106996,
        0.115572,
        0.125905,
        0.140743,
        0.149655,
        0.129559,
        0.116728,
        0.109017,
        0.0993802,
        0.0882134,
        0.0836894,
        0.0785686,
        0.0746064,
        0.0719331,
        0.0687898,
        0.0659653,
        0.0636169,
        0.0642501,
        0.0622307,
        0.0586758,
        0.0577158,
        0.0565589,
        0.0558541,
        0.0550816,
        0.0542163,
        0.0534475,
        0.0531839,
        0.0528637,
        0.0521351,
        0.0517772,
        0.0508093,
        0.0502783,
        0.0498391,
        0.0493208,
        0.0489227,
        0.0487889,
        0.0489623,
        0.0492248,
        0.0497237,
        0.0496527,
        0.0498939,
        0.0509791,
        0.051367,
        0.0521294,
        0.0525827,
        0.0542681,
        0.0580428,
        0.0555752,
        0.0503227,
        0.0496192,
        0.0490747,
        0.049149,
        0.0487351,
        0.0496765,
        0.0507964,
        0.0507429,
        0.049781,
        0.0500462,
        0.0512498,
        0.0530408,
        0.0556723,
        0.0602879,
        0.0672193,
        0.0773818,
        0.0908307,
        0.102748,
        0.107393,
        0.102991,
        0.0938322,
        0.0816012,
        0.0707334,
        0.0717823,
        0.0668973,
        0.0544995,
        0.0520684,
        0.050379,
        0.0492211,
        0.0489313,
        0.048352,
        0.0478397,
        0.047135,
        0.0469269,
        0.0473015,
        0.0474209,
        0.0470299,
        0.0473067,
        0.0471221,
        0.0471709,
        0.0472674,
        0.0472883,
        0.046919,
        0.0471487,
        0.0476165,
        0.0477252,
        0.0484478,
        0.0540804,
        0.0539894,
        0.0507088,
        0.0504112,
        0.0498391,
        0.0495247,
        0.0484172,
        0.0474615,
        0.0463259,
        0.0456175,
        0.0452221,
        0.0448437,
        0.0445059,
        0.0445465,
        0.0447562,
        0.0445132,
        0.0443484,
        0.0482437,
        0.0478677,
        0.0437712,
        0.0462814,
        0.0463041,
        0.0450353,
        0.0449839,
        0.0454283,
        0.0458969,
        0.046392,
        0.0463527,
        0.0461105,
        0.0460233,
        0.0461128,
        0.0468139,
        0.0471402,
        0.0483251,
        0.0492669,
        0.0494092,
        0.0497159,
        0.0499531,
        0.0507223,
        0.0507017,
        0.0512304,
        0.0518052,
        0.0526263,
        0.0533916,
        0.0540508,
        0.0553605,
        0.0622646,
        0.0698835,
        0.0653081,
        0.0622664,
        0.0648077,
        0.066567,
        0.068373,
        0.070059,
        0.0743339,
        0.0779478,
        0.082172,
        0.0859504,
        0.0896986,
        0.0923708,
        0.0977721,
        0.104667,
        0.113048,
        0.126611,
        0.172397,
        0.298534,
        0.221753,
        0.166901,
        0.127261,
        0.104061,
        0.095231,
        0.0881965,
        0.0824264,
        0.0769556,
        0.0741364,
        0.0709537,
        0.0671882,
        0.0654226,
        0.0639291,
        0.0625538,
        0.0637637,
        0.0645886,
        0.0600034,
        0.0593055,
        0.059034,
        0.0589761,
        0.0590402,
        0.0602504,
        0.0609056,
        0.0610779,
        0.0619805,
        0.0616594,
        0.0614747,
        0.0603601,
        0.0590894,
        0.0570204,
        0.056063,
        0.0545356,
        0.0533638,
        0.0522762,
        0.0515381,
        0.0505278,
        0.0501854,
        0.0503882,
        0.0533865,
        0.0502998,
        0.0474816,
        0.0476779,
        0.0480423,
        0.0481701,
        0.0482804,
        0.0487488,
        0.049673,
        0.0502854,
        0.0517853,
        0.0586287,
        0.0601163,
        0.0544895,
        0.0542393,
        0.0534947,
        0.0521483,
        0.0511054,
        0.0499967,
        0.0492634,
        0.0482961,
        0.0468653,
        0.0468384,
        0.0468323,
        0.046358,
        0.0461671,
        0.0546258,
        0.0559401,
        0.047562,
        0.0471929,
        0.047753,
        0.0484515,
        0.0492915,
        0.0494947,
        0.0497213,
        0.0504026,
        0.0508214,
        0.0511755,
        0.0521237,
        0.0529953,
        0.0589526,
        0.0625857,
        0.0537402,
        0.0516743,
        0.050158,
        0.0493484,
        0.0483122,
        0.0478002,
        0.0470531,
        0.0464912,
        0.0464261,
        0.0461814,
        0.0460324,
        0.0457634,
        0.0460019,
        0.0467706,
        0.0494821,
        0.0469537,
        0.046035,
        0.0456871,
        0.0457948,
        0.0458775,
        0.0462105,
        0.0458553,
        0.0459381,
        0.045775,
        0.04575,
        0.0452035,
        0.0456476,
        0.0455893,
        0.0457543,
        0.0457664,
        0.0459398,
        0.045975,
        0.0467519,
        0.0468301,
        0.0470335,
        0.0473728,
        0.0473094,
        0.0474021,
        0.0478777,
        0.0482267,
        0.0486994,
        0.0490897,
        0.0493433,
        0.0493602,
        0.050278,
        0.0511149,
        0.0509995,
        0.0521886,
        0.0544537,
        0.0559248,
        0.0581588,
        0.0603798,
        0.0646816,
        0.0698526,
        0.0746804,
        0.0767365,
        0.0758247,
        0.0725387,
        0.0698195,
        0.0666588,
        0.0641469,
        0.0618232,
        0.0615507,
        0.0611997,
        0.0616354,
        0.0617051,
        0.0623334,
        0.0639846,
        0.066176,
        0.0684747,
        0.0728099,
        0.0769255,
        0.0772302,
        0.0818003,
        0.0876604,
        0.0951158,
        0.104703,
        0.128719,
        0.145027,
        0.14665,
        0.172386,
        0.385275,
        0.186825,
        0.161798,
        0.107235,
        0.0986488,
        0.0922102,
        0.0877713,
        0.0837859,
        0.0798288,
        0.0769753,
        0.0742439,
        0.0714733,
        0.0685903,
        0.065915,
        0.0638206,
        0.0615152,
        0.0597253,
        0.0618328,
        0.0601645,
        0.056513,
        0.0560748,
        0.0562909,
        0.0552257,
        0.0543106,
        0.0623137,
        0.0584848,
        0.0525038,
        0.0516557,
        0.0507354,
        0.0506092,
        0.0500344,
        0.0496158,
        0.0500697,
        0.0496997,
        0.0555248,
        0.054968,
        0.0484367,
        0.0480674,
        0.048311,
        0.0486037,
        0.0494515,
        0.0497391,
        0.0491296,
        0.0490136,
        0.0485179,
        0.0479584,
        0.0483602,
        0.0480839,
        0.0488234,
        0.0493817,
        0.0484416,
        0.0479036,
        0.0477091,
        0.0473627,
        0.0528809,
        0.0534247,
        0.0476833,
        0.0477268,
        0.0473134,
        0.0473196,
        0.0477094,
        0.0476501,
        0.0482522,
        0.0495657,
        0.0507251,
        0.0513838,
        0.0518241,
        0.0524696,
        0.0519814,
        0.0514547,
        0.0511916,
        0.0505417,
        0.0503727,
        0.0503872,
        0.0511415,
        0.0518321,
        0.0521154,
        0.0520663,
        0.0522814,
        0.052635,
        0.0523775,
        0.05181,
        0.0515549,
        0.0508125,
        0.0515417,
        0.051828,
        0.0530783,
        0.0539265,
        0.0548303,
        0.0562527,
        0.056409,
        0.0557763,
        0.0555361,
        0.0553116,
        0.0548837,
        0.0546031,
        0.0544409,
        0.0532715,
        0.0525754,
        0.0523662,
        0.0519505,
        0.0550267,
        0.0528117,
        0.0505858,
        0.0507842,
        0.0506382,
        0.0508671,
        0.0509714,
        0.0507911,
        0.0505916,
        0.0535636,
        0.0532259,
        0.0506698,
        0.0510472,
        0.0510014,
        0.0514448,
        0.051836,
        0.0521667,
        0.0530543,
        0.0541518,
        0.0549867,
        0.0557034,
        0.0565482,
        0.0580307,
        0.0583366,
        0.058216,
        0.0579048,
        0.0564321,
        0.0548708,
        0.0541454,
        0.0559581,
        0.0549065,
        0.0530917,
        0.052498,
        0.0517681,
        0.0518935,
        0.0515078,
        0.0509692,
        0.050859,
        0.0508122,
        0.0510775,
        0.0509768,
        0.0515972,
        0.0530709,
        0.0536365,
        0.0522052,
        0.0536822,
        0.0540585,
        0.0542666,
        0.0560958,
        0.0574937,
        0.0586839,
        0.0608494,
        0.0624341,
        0.064446,
        0.0668657,
        0.070589,
        0.0740544,
        0.0783006,
        0.0834078,
        0.0914667,
        0.100068,
        0.112912,
        0.165076,
        0.196648,
        0.220174,
        0.188599,
        0.155678,
        0.129937,
        0.111902,
        0.0995674,
        0.0911389,
        0.0880682,
        0.110139,
        0.0969646,
        0.0718932,
        0.0663458,
        0.0640177,
        0.0613487,
        0.0602664,
        0.0589476,
        0.0577742,
        0.0561476,
        0.0638885,
        0.0633066,
        0.0539996,
        0.059723,
        0.059961,
        0.0535693,
        0.0528377,
        0.0528924,
        0.0532267,
        0.0526787,
        0.0528901,
        0.0529925,
        0.0528066,
        0.0524624,
        0.0534185,
        0.0541779,
        0.054711,
        0.0559526,
        0.056703,
        0.0576615,
        0.0579675,
        0.0581216,
        0.0589753,
        0.0626184,
        0.0615635,
        0.0575067,
        0.056117,
        0.0550173,
        0.0540847,
        0.0532685,
        0.0528051,
        0.0529142,
        0.0534721,
        0.0534675,
        0.053207,
        0.0538215,
        0.0545222,
        0.0552605,
        0.0559726,
        0.0566494,
        0.056718,
        0.0560582,
        0.0556332,
        0.0550115,
        0.0535268,
        0.0516024,
        0.0504054,
        0.0496647,
        0.0491927,
        0.0483281,
        0.0477111,
        0.0471534,
        0.0466487,
        0.0464198,
        0.046972,
        0.0466262,
        0.0459626,
        0.0462613,
        0.0460831,
        0.0461684,
        0.0460393,
        0.0464231,
        0.0467344,
        0.0471698,
        0.0475035,
        0.0469366,
        0.0468931,
        0.046498,
        0.0461993,
        0.0458144,
        0.046502,
        0.046788,
        0.0489586,
        0.049046,
        0.0464043,
        0.0467433,
        0.0474305,
        0.0475753,
        0.0469095,
        0.0495631,
        0.0508158,
        0.0479787,
        0.0475764,
        0.0477418,
        0.0483083,
        0.0487133,
        0.0490402,
        0.0493242,
        0.0559142,
        0.0557529,
        0.0531461,
        0.0519278,
        0.0502149,
        0.0557224,
        0.0595379,
        0.0528795,
        0.0539751,
        0.0547252,
        0.0546491,
        0.0540576,
        0.0534798,
        0.0522806,
        0.0526374,
        0.0518351,
        0.0511292,
        0.0510998,
        0.0513046,
        0.0514147,
        0.0523226,
        0.0522097,
        0.0510024,
        0.050313,
        0.0500294,
        0.049922,
        0.0505058,
        0.0509272,
        0.0503943,
        0.0501397,
        0.0504795,
        0.0505009,
        0.0506167,
        0.0509473,
        0.0507618,
        0.0510439,
        0.0516275,
        0.0516536,
        0.052699,
        0.0552218,
        0.0541339,
        0.055114,
        0.0561337,
        0.0561492,
        0.0577033,
        0.0589361,
        0.0588057,
        0.0595746,
        0.0604719,
        0.061655,
        0.0631434,
        0.0645026,
        0.0661902,
        0.0677297,
        0.0701568,
        0.0725757,
        0.0763366,
        0.0801133,
        0.0852841,
        0.091871,
        0.0996912,
        0.111705,
        0.127686,
        0.145509,
        0.211391,
        0.149258,
        0.128027,
        0.113789,
        0.102311,
        0.0932333,
        0.0866234,
        0.0823931,
        0.0795925,
        0.0755477,
        0.0725909,
        0.0704731,
        0.0679685,
        0.0653245,
        0.0638259,
        0.062658,
        0.0619512,
        0.0607046,
        0.0596841,
        0.0583444,
        0.0579875,
        0.056951,
        0.0561205,
        0.0558734,
        0.05592,
        0.0556147,
        0.0560317,
        0.0558802,
        0.0562999,
        0.056258,
        0.055987,
        0.0562432,
        0.0559113,
        0.055492,
        0.0549788,
        0.054954,
        0.0555479,
        0.0557017,
        0.0558931,
        0.0558544,
        0.0557302,
        0.055852,
        0.0561286,
        0.0566305,
        0.0571084,
        0.0581527,
        0.0595272,
        0.0606209,
        0.0611686,
        0.0619046,
        0.0608334,
        0.0601468,
        0.059557,
        0.0588735,
        0.0591415,
        0.0589676,
        0.0586791,
        0.0595421,
        0.0595114,
        0.0589978,
        0.058699,
        0.0582547,
        0.0585472,
        0.0595918,
        0.0604878,
        0.0604936,
        0.0609417,
        0.061151,
        0.0606663,
        0.0614755,
        0.0623977,
        0.0633739,
        0.0650161,
        0.0664206,
        0.0686991,
        0.070565,
        0.072522,
        0.0753323,
        0.077695,
        0.079446,
        0.0823281,
        0.0839595,
        0.0844986,
        0.0841975,
        0.0842575,
        0.0840791,
        0.083809,
        0.0837637,
        0.0847342,
        0.0857945,
        0.0881374,
        0.0904084,
        0.0930113,
        0.0967647,
        0.101251,
        0.107009,
        0.113071,
        0.120819,
        0.132056,
        0.144207,
        0.156921,
        0.175324,
        0.198844,
        0.227397,
        0.271296,
        0.175834,
        0.173659,
        0.154399,
        0.134691,
        0.132818,
        0.133177,
        0.114526,
        0.108839,
        0.103665,
        0.101114,
        0.0995542,
        0.0976955,
        0.0971085,
        0.0976657,
        0.0975397,
        0.0969885,
        0.0957706,
        0.0930432,
        0.0894949,
        0.0858194,
        0.0833511,
        0.0808882,
        0.0790175,
        0.0775738,
        0.0766008,
        0.0759167,
        0.0762851,
        0.0762362,
        0.0764787,
        0.0766665,
        0.0779076,
        0.0884484,
        0.0907836,
        0.0839927,
        0.0864192,
        0.0874686,
        0.0901261,
        0.0951808,
        0.102358,
        0.129697,
        0.154276,
        0.152478,
        0.151848,
        0.166995,
        0.464253,
        0.170387,
        0.143603,
        0.127484,
        0.115439,
        0.105228,
        0.0974547,
        0.0928986,
        0.0879468,
        0.0831347,
        0.08111,
        0.0800549,
        0.0752379,
        0.073987,
        0.0726801,
        0.0716295,
        0.082322,
        0.0812131,
        0.0704356,
        0.0702489,
        0.0697329,
        0.0682801,
        0.0661773,
        0.065155,
        0.0645309,
        0.0635835,
        0.0629624,
        0.0622869,
        0.0612397,
        0.0609505,
        0.0617054,
        0.0614448,
        0.0607525,
        0.0608983,
        0.0608514,
        0.0608414,
        0.0610719,
        0.061055,
        0.0609825,
        0.0609455,
        0.0610979,
        0.0616652,
        0.0627391,
        0.0622711,
        0.0624198,
        0.0625353,
        0.0622152,
        0.0618045,
        0.0610397,
        0.0600347,
        0.0597348,
        0.0596674,
        0.0597718,
        0.0600957,
        0.0601283,
        0.0602495,
        0.0599631,
        0.0635577,
        0.0639546,
        0.0605296,
        0.0611422,
        0.0621589,
        0.0627689,
        0.062639,
        0.0622299,
        0.0740278,
        0.0728478,
        0.0614418,
        0.061047,
        0.0601136,
        0.0600066,
        0.0603043,
        0.0603,
        0.05972,
        0.0705151,
        0.0662519,
        0.06051,
        0.0604791,
        0.0606546,
        0.0595863,
        0.0596753,
        0.0592384,
        0.0604581,
        0.0601646,
        0.0604002,
        0.0608931,
        0.0616877,
        0.0611662,
        0.0612719,
        0.0612777,
        0.0609395,
        0.0615709,
        0.0628256,
        0.0613226,
        0.0608633,
        0.0605799,
        0.0604043,
        0.0607802,
        0.0612341,
        0.0614667,
        0.0620682,
        0.0625717,
        0.0629296,
        0.0627191,
        0.0639168,
        0.0649802,
        0.066458,
        0.0668631,
        0.0659876,
        0.0665015,
        0.0662039,
        0.0653006,
        0.0646763,
        0.0646013,
        0.0651913,
        0.0646344,
        0.0640222,
        0.0644144,
        0.064645,
        0.0648349,
        0.0651194,
        0.0662076,
        0.0666476,
        0.0663773,
        0.0668021,
        0.0682634,
        0.069776,
        0.069713,
        0.0693489,
        0.0695402,
        0.0693481,
        0.0698869,
        0.0690191,
        0.0690661,
        0.0705945,
        0.0710058,
        0.0715406,
        0.0718307,
        0.071801,
        0.0726231,
        0.0721565,
        0.0721384,
        0.0739604,
        0.0745239,
        0.0736433,
        0.0739352,
        0.0775004,
        0.0797967,
        0.0758383,
        0.0759865,
        0.0774021,
        0.0780694,
        0.0778639,
        0.0778803,
        0.079325,
        0.082418,
        0.0852207,
        0.0811914,
        0.0825841,
        0.0837562,
        0.0854536,
        0.0875958,
        0.0879236,
        0.102614,
        0.0986505,
        0.0924102,
        0.09551,
        0.100578,
        0.104612,
        0.107609,
        0.111767,
        0.118114,
        0.138432,
        0.150386,
        0.16246,
        0.183404,
        0.202135,
        0.167012,
        0.165761,
        0.166913,
        0.162308,
        0.163476,
        0.163779,
        0.169291,
        0.213722,
        0.251194,
        0.258482,
        0.444917,
        0.338268,
        0.238109,
        0.221128,
        0.188118,
        0.182984,
        0.178185,
        0.174816,
        0.171451,
        0.159514,
        0.155555,
        0.151167,
        0.14224,
        0.137263,
        0.136018,
        0.13271,
        0.129244,
        0.127943,
        0.12475,
        0.119604,
        0.11509,
        0.113651,
        0.112326,
        0.112573,
        0.12043,
        0.12061,
        0.107176,
        0.106621,
        0.104702,
        0.10233,
        0.103373,
        0.102845,
        0.101644,
        0.100504,
        0.0995757,
        0.0985678,
        0.0973942,
        0.0966971,
        0.0960114,
        0.0963844,
        0.0964083,
        0.0948654,
        0.093914,
        0.0942101,
        0.0950789,
        0.0944334,
        0.0949789,
        0.0951051,
        0.0935561,
        0.0932298,
        0.0930206,
        0.0932584,
        0.0933748,
        0.0927752,
        0.0925992,
        0.0930048,
        0.0948424,
        0.0935183,
        0.091513,
        0.0921887,
        0.0923411,
        0.0921306,
        0.0930603,
        0.0929011,
        0.0930872,
        0.094247,
        0.0945396,
        0.0955459,
        0.0958288,
        0.0962245,
        0.0975429,
        0.0991565,
        0.100452,
        0.102301,
        0.106436,
        0.108705,
        0.109859,
        0.123069,
        0.12604,
        0.117558,
        0.126927,
        0.134223,
        0.14576,
        0.16247,
        0.254483,
        0.23404,
        0.195828,
        0.169654,
        0.148141,
        0.133086,
        0.122412,
        0.116879,
        0.112148,
        0.107209,
        0.103085,
        0.102351,
        0.0997889,
        0.0998159,
        0.0978884,
        0.0964077,
        0.0961363,
        0.0958248,
        0.0941627,
        0.093419,
        0.0921966,
        0.092789,
        0.092044,
        0.0912136,
        0.0897204,
        0.0905998,
        0.0911488,
        0.0917265,
        0.0907186,
        0.0910169,
        0.091393,
        0.0917486,
        0.091982,
        0.0914066,
        0.0912255,
        0.092702,
        0.0939815,
        0.0947335,
        0.0949736,
        0.0944049,
        0.095096,
        0.0961412,
        0.0970074,
        0.098067,
        0.0981722,
        0.0983908,
        0.099638,
        0.0991279,
        0.098051,
        0.0980154,
        0.0981278,
        0.0974234,
        0.0935422,
        0.0932119,
        0.09475,
        0.0950061,
        0.0956695,
        0.094432,
        0.0946272,
        0.0954914,
        0.0955705,
        0.0966619,
        0.0957363,
        0.0962863,
        0.0964461,
        0.097486,
        0.0981912,
        0.0985603,
        0.0980912,
        0.0982135,
        0.0999156,
        0.100536,
        0.100714,
        0.101837,
        0.103361,
        0.103496,
        0.103919,
        0.104597,
        0.103514,
        0.105885,
        0.106861,
        0.107008,
        0.107138,
        0.108817,
        0.110466,
        0.111409,
        0.113485,
        0.117138,
        0.118765,
        0.119436,
        0.121479,
        0.122173,
        0.122277,
        0.123041,
        0.130409,
        0.126301,
        0.128056,
        0.128381,
        0.129253,
        0.12998,
        0.134743,
        0.137276,
        0.137758,
        0.139996,
        0.142763,
        0.144419,
        0.145343,
        null,
        0.0717249,
        0.071899,
        0.0713908,
        0.0703999,
        0.0695188,
        0.0688822,
        0.0681639,
        0.0698663,
        0.0697237,
        0.0668884,
        0.0658442,
        0.0679912,
        0.0718628,
        0.0717205,
        0.0662902,
        0.0659182,
        0.0654068,
        0.0652674,
        0.0651143,
        0.06493,
        0.0646253,
        0.0650651,
        0.0650109,
        0.0651084,
        0.0651679,
        0.0655633,
        0.0664769,
        0.0670648,
        0.0675827,
        0.0676669,
        0.0673468,
        0.0669125,
        0.0665408,
        0.0659157,
        0.0657068,
        0.0655349,
        0.0648688,
        0.0643587,
        0.0636949,
        0.063224,
        0.0629585,
        0.062932,
        0.0629306,
        0.0630491,
        0.0625848,
        0.062358,
        0.0620644,
        0.0621293,
        0.0622972,
        0.0622646,
        0.0619011,
        0.0618613,
        0.0616736,
        0.0634682,
        0.0632254,
        0.0607272,
        0.0601788,
        0.0596065,
        0.0589218,
        0.0585265,
        0.0587335,
        0.0589003,
        0.0589096,
        0.0591141,
        0.0590725,
        0.0589118,
        0.059687,
        0.060141,
        0.0608634,
        0.0611276,
        0.061207,
        0.0610774,
        0.0607872,
        0.0599879,
        0.0594629,
        0.0593577,
        0.0651165,
        0.0653429,
        0.0601842,
        0.0601666,
        0.0599432,
        0.059488,
        0.0593707,
        0.059591,
        0.0598121,
        0.060325,
        0.0608275,
        0.0608986,
        0.0607241,
        0.0604301,
        0.0595123,
        0.059655,
        0.0595152,
        0.0615976,
        0.0598172,
        0.0582993,
        0.0581758,
        0.0578711,
        0.0575954,
        0.0575883,
        0.0576004,
        0.0575108,
        0.0577939,
        0.057965,
        0.0570409,
        0.0569174,
        0.0573457,
        0.0575133,
        0.0568749,
        0.0566718,
        0.0567275,
        0.0567537,
        0.056761,
        0.0562552,
        0.055894,
        0.0558979,
        0.056122,
        0.0578377,
        0.0573987,
        0.05591,
        0.0557165,
        0.056144,
        0.056391,
        0.0567827,
        0.0570757,
        0.0572106,
        0.0575364,
        0.0574593,
        0.0610312,
        0.0607443,
        0.0577363,
        0.0592355,
        0.0603488,
        0.0607805,
        0.0617471,
        0.0633399,
        0.0649069,
        0.0664259,
        0.0691128,
        0.0733465,
        0.0787548,
        0.0849681,
        0.0933869,
        0.107112,
        0.127857,
        0.150668,
        0.155457,
        0.134264,
        0.114753,
        0.098907,
        0.0886474,
        0.0809351,
        0.0754468,
        0.0714236,
        0.0681304,
        0.0657998,
        0.0645994,
        0.0632947,
        0.0622354,
        0.061334,
        0.0677909,
        0.0672341,
        0.0606881,
        0.0658758,
        0.0655025,
        0.0594936,
        0.0597032,
        0.0592678,
        0.0587054,
        0.0587624,
        0.0589367,
        0.0588253,
        0.0590312,
        0.0598384,
        0.0610242,
        0.0617566,
        0.0630895,
        0.0652677,
        0.0669273,
        0.067079,
        0.0660986,
        0.0660726,
        0.0659081,
        0.064842,
        0.0641194,
        0.0637807,
        0.0633896,
        0.0638075,
        0.064233,
        0.0646194,
        0.064744,
        0.064085,
        0.0644873,
        0.0643194,
        0.0646631,
        0.0653067,
        0.0661999,
        0.0675486,
        0.0682653,
        0.0688435,
        0.0697596,
        0.0707475,
        0.0716001,
        0.0722266,
        0.0723433,
        0.072885,
        0.073914,
        0.0746044,
        0.0756011,
        0.07659,
        0.0779028,
        0.0787873,
        0.079374,
        0.0803718,
        0.0819915,
        0.083564,
        0.0855808,
        0.0876876,
        0.0912983,
        0.0950321,
        0.0981979,
        0.100902,
        0.10434,
        0.107792,
        0.112156,
        0.118578,
        0.128545,
        0.140691,
        0.15201,
        0.164634,
        0.204097,
        0.375224,
        0.234694,
        0.218773,
        0.200996,
        0.183317,
        0.17231,
        0.162847,
        0.155028,
        0.151517,
        0.148448,
        0.142221,
        0.138177,
        0.133324,
        0.128133,
        0.12502,
        0.122256,
        0.119477,
        0.123684,
        0.125407,
        0.12236,
        0.131283,
        0.129262,
        0.117788,
        0.118157,
        0.118291,
        0.117566,
        0.11808,
        0.11802,
        0.116151,
        0.113506,
        0.109554,
        0.106568,
        0.101046,
        0.0929388,
        0.0849242,
        0.0777405,
        0.0727033,
        0.0694861,
        0.0668971,
        0.066205,
        0.0661832,
        0.0666105,
        0.0666358,
        0.0656102,
        0.0649797,
        0.0646915,
        0.064861,
        0.0664115,
        0.0679719,
        0.0708938,
        0.0749121,
        0.0807385,
        0.0887973,
        0.0999656,
        0.111084,
        0.116955,
        0.11673,
        0.11059,
        0.0953233,
        0.0849789,
        0.077272,
        0.0711998,
        0.0666077,
        0.0635941,
        0.0622826,
        0.0603992,
        0.0586615,
        0.0574502,
        0.0563967,
        0.0554978,
        0.0547915,
        0.0545526,
        0.0543295,
        0.0538385,
        0.0528501,
        0.0522457,
        0.0513286,
        0.0511007,
        0.0515296,
        0.0524798,
        0.0518628,
        0.0509675,
        0.0506786,
        0.0503248,
        0.0500978,
        0.0501399,
        0.0501241,
        0.0500458,
        0.0503123,
        0.0503089,
        0.0498717,
        0.0494608,
        0.0491349,
        0.0493424,
        0.0487057,
        0.0480137,
        0.0477258,
        0.047762,
        0.0477706,
        0.0474308,
        0.0470802,
        0.0467436,
        0.0468838,
        0.0470331,
        0.046797,
        0.0468471,
        0.0467984,
        0.0470353,
        0.0528968,
        0.0527192,
        0.0467741,
        0.0470261,
        0.046967,
        0.0472107,
        0.0471947,
        0.0471611,
        0.050404,
        0.0509893,
        0.047948,
        0.0479673,
        0.04798,
        0.0483847,
        0.0485961,
        0.0484688,
        0.0487856,
        0.0488554,
        0.0486173,
        0.0485181,
        0.0484904,
        0.0486695,
        0.0490184,
        0.0492382,
        0.049531,
        0.0495647,
        0.0495088,
        0.0488182,
        0.0480686,
        0.047862,
        0.047722,
        0.0472048,
        0.0470021,
        0.0468612,
        0.0467698,
        0.0465589,
        0.0466518,
        0.0464862,
        0.0461015,
        0.0460435,
        0.0458859,
        0.0455407,
        0.047179,
        0.0467431,
        0.045454,
        0.0454036,
        0.0449539,
        0.0450913,
        0.0451466,
        0.0448419,
        0.0448313,
        0.0448554,
        0.0452583,
        0.04569,
        0.0450406,
        0.0446858,
        0.0443344,
        0.0444895,
        0.0446466,
        0.04468,
        0.0451259,
        0.0455174,
        0.0451682,
        0.0451367,
        0.0454365,
        0.045451,
        0.045384,
        0.0455621,
        0.0456299,
        0.0460545,
        0.045915,
        0.0460349,
        0.0462973,
        0.0464407,
        0.0469588,
        0.0472529,
        0.0478065,
        0.0475819,
        0.0473651,
        0.0470896,
        0.0473409,
        0.0472152,
        0.046969,
        0.0467384,
        0.0467954,
        0.0467158,
        0.0466623,
        0.0462748,
        0.0464309,
        0.0465438,
        0.0466925,
        0.0468555,
        0.0470284,
        0.0473209,
        0.0476323,
        0.047642,
        0.0477299,
        0.0475312,
        0.0488398,
        0.0489687,
        0.0489205,
        0.0494074,
        0.0490569,
        0.0496415,
        0.0503045,
        0.0507351,
        0.051389,
        0.0518281,
        0.051783,
        0.051926,
        0.0527783,
        0.0540963,
        0.0554421,
        0.0582528,
        0.0617639,
        0.0660991,
        0.0720768,
        0.0781944,
        0.0872853,
        0.0828927,
        0.0764697,
        0.0706169,
        0.0651146,
        0.0616617,
        0.0588948,
        0.0569715,
        0.0563539,
        0.0559355,
        0.0559687,
        0.0555531,
        0.0554603,
        0.054515,
        0.0527377,
        0.0516094,
        0.0507652,
        0.0532693,
        0.0532449,
        0.0495996,
        0.0493166,
        0.0495189,
        0.0499389,
        0.0505615,
        0.050921,
        0.0512179,
        0.0520928,
        0.0530029,
        0.0540418,
        0.0549435,
        0.0547728,
        0.0580878,
        0.0621512,
        0.0557311,
        0.0509753,
        0.0496402,
        0.0486249,
        0.0474467,
        0.0468471,
        0.0465724,
        0.046972,
        0.0459341,
        0.045342,
        0.0449157,
        0.0447976,
        0.0447938,
        0.046338,
        0.0467037,
        0.044829,
        0.0444648,
        0.0446101,
        0.0442337,
        0.0442613,
        0.044038,
        0.0439395,
        0.0435233,
        0.0432449,
        0.0433342,
        0.0436542,
        0.0440725,
        0.0444036,
        0.0449101,
        0.0465686,
        0.0462816,
        0.0444963,
        0.0446424,
        0.0450145,
        0.0450651,
        0.0456167,
        0.0461164,
        0.0464514,
        0.0464863,
        0.0467374,
        0.0467009,
        0.046526,
        0.0467605,
        0.0466484,
        0.0467745,
        0.0466134,
        0.046687,
        0.0467792,
        0.0464947,
        0.046715,
        0.0471006,
        0.0472543,
        0.0474806,
        0.0471377,
        0.0470036,
        0.047206,
        0.0473395,
        0.0475511,
        0.0474962,
        0.0474038,
        0.0469928,
        0.046784,
        0.046591,
        0.0464271,
        0.0468496,
        0.047181,
        0.047126,
        0.047171,
        0.0472724,
        0.0471979,
        0.0469037,
        0.0469049,
        0.0471954,
        0.0471938,
        0.0486626,
        0.049107,
        0.0472036,
        0.0474263,
        0.0476839,
        0.047725,
        0.048016,
        0.0527661,
        0.0590247,
        0.0532939,
        0.0495335,
        0.050587,
        0.0509882,
        0.0533462,
        0.0540805,
        0.0528946,
        0.0535613,
        0.0535706,
        0.0537415,
        0.0542528,
        0.054563,
        0.0544926,
        0.054689,
        0.0558689,
        0.0570856,
        0.0579259,
        0.058581,
        0.0603504,
        0.0617931,
        0.0629351,
        0.0647297,
        0.0677943,
        0.0726738,
        0.0755277,
        0.0774546,
        0.0826016,
        0.0886986,
        0.0960938,
        0.104991,
        0.113963,
        0.124924,
        0.139079,
        0.15567,
        0.17886,
        0.213868,
        0.162627,
        0.129394,
        0.127489,
        0.117506,
        0.104294,
        0.102377,
        0.101197,
        0.0994116,
        0.0969125,
        0.0926762,
        0.08638,
        0.0798771,
        0.0735493,
        0.0686996,
        0.065391,
        0.0623963,
        0.0595525,
        0.0722342,
        0.0706303,
        0.0557748,
        0.0566786,
        0.055793,
        0.0547647,
        0.0546397,
        0.0523143,
        0.0522628,
        0.0566262,
        0.0569063,
        0.0500628,
        0.0553104,
        0.0550362,
        0.0495633,
        0.0493365,
        0.0490895,
        0.0492788,
        0.0492373,
        0.0495446,
        0.0491819,
        0.0484405,
        0.0482033,
        0.0480349,
        0.0484845,
        0.0486089,
        0.0482805,
        0.047528,
        0.0481192,
        0.0479581,
        0.0472201,
        0.0467684,
        0.0465597,
        0.0465612,
        0.0466486,
        0.0467818,
        0.0467313,
        0.0468078,
        0.0471591,
        0.0473181,
        0.0464857,
        0.046287,
        0.0462417,
        0.0459307,
        0.046039,
        0.0459473,
        0.0463302,
        0.0468832,
        0.0471287,
        0.0474372,
        0.047197,
        0.0470126,
        0.0471574,
        0.0472026,
        0.0472823,
        0.0478729,
        0.047162,
        0.0462147,
        0.0452058,
        0.0448595,
        0.0444698,
        0.0440401,
        0.0436082,
        0.0438412,
        0.0440259,
        0.0454494,
        0.0452339,
        0.0437136,
        0.0434754,
        0.0435176,
        0.044691,
        0.0447355,
        0.0455386,
        0.045279,
        0.0452873,
        0.0467176,
        0.0464518,
        0.0446654,
        0.0442434,
        0.0441532,
        0.0443332,
        0.0444156,
        0.0452801,
        0.0447805,
        0.0447652,
        0.0444703,
        0.044534,
        0.044766,
        0.0448594,
        0.0449387,
        0.0453,
        0.0458459,
        0.0458619,
        0.0455582,
        0.0451572,
        0.0452471,
        0.0449375,
        0.0456654,
        0.0457584,
        0.0445235,
        0.0451273,
        0.0455121,
        0.0440231,
        0.049158,
        0.0489227,
        0.0433538,
        0.0435792,
        0.0436243,
        0.0431545,
        0.0429271,
        0.0429334,
        0.043179,
        0.0429089,
        0.0430861,
        0.0470313,
        0.0469124,
        0.0429678,
        0.0430201,
        0.0437234,
        0.0436347,
        0.0429049,
        0.0429014,
        0.0426528,
        0.0423099,
        0.0425794,
        0.0428057,
        0.0427717,
        0.0425232,
        0.0439123,
        0.0437483,
        0.0456744,
        0.0480973,
        0.0450742,
        0.0452004,
        0.0449958,
        0.0448658,
        0.0451993,
        0.0454249,
        0.0455728,
        0.0458918,
        0.0460964,
        0.0462602,
        0.0460046,
        0.0457837,
        0.0457125,
        0.0457436,
        0.045978,
        0.0456492,
        0.0452003,
        0.0451559,
        0.0454779,
        0.0454804,
        0.0461355,
        0.0505796,
        0.0508437,
        0.0472589,
        0.0482837,
        0.047918,
        0.0486607,
        0.0493211,
        0.0497287,
        0.0506781,
        0.0526115,
        0.0548704,
        0.0572475,
        0.0606941,
        0.0635686,
        0.0647565,
        0.0640712,
        0.0619726,
        0.0593393,
        0.0569485,
        0.0546498,
        0.0528093,
        0.0519312,
        0.0515543,
        0.0505521,
        0.049996,
        0.0494133,
        0.0494004,
        0.0490733,
        0.0483347,
        0.0477874,
        0.0470823,
        0.0469992,
        0.0468313,
        0.046417,
        0.0460767,
        0.0456117,
        0.0457921,
        0.0452956,
        0.0450642,
        0.0450883,
        0.0450499,
        0.0451394,
        0.0451,
        0.0446372,
        0.0446732,
        0.0445465,
        0.0443486,
        0.0441311,
        0.0460477,
        0.0460801,
        0.0447398,
        0.0441312,
        0.0441479,
        0.0443994,
        0.044591,
        0.044526,
        0.0448819,
        0.0447774,
        0.0448773,
        0.0448963,
        0.0452246,
        0.0449517,
        0.0448372,
        0.0448151,
        0.0449091,
        0.0445859,
        0.0452058,
        0.045218,
        0.0452185,
        0.0458076,
        0.0458172,
        0.0466164,
        0.0471428,
        0.0461551,
        0.0458928,
        0.0451956,
        0.0445681,
        0.0442839,
        0.0442232,
        0.0440003,
        0.0440541,
        0.0438142,
        0.0438498,
        0.0435429,
        0.0432253,
        0.0429352,
        0.0430416,
        0.0432908,
        0.0434696,
        0.0434197,
        0.0435798,
        0.0434242,
        0.0449067,
        0.044772,
        0.0428419,
        0.0423769,
        0.0462283,
        0.0462545,
        0.0426857,
        0.042691,
        0.0429062,
        0.0430385,
        0.0428589,
        0.0424993,
        0.042759,
        0.0426318,
        0.0431583,
        0.0433758,
        0.0434748,
        0.0434193,
        0.0437314,
        0.0436478,
        0.04331,
        0.0434101,
        0.0435894,
        0.0431454,
        0.0435749,
        0.0436275,
        0.0436877,
        0.0439014,
        0.0439021,
        0.0439564,
        0.0441283,
        0.0440372,
        0.0441459,
        0.0445827,
        0.0445499,
        0.0449261,
        0.0453186,
        0.0450066,
        0.0450178,
        0.0448317,
        0.0445123,
        0.0443434,
        0.0439934,
        0.0440583,
        0.0442063,
        0.0439423,
        0.044091,
        0.0440667,
        0.0438318,
        0.0436633,
        0.0446875,
        0.0444229,
        0.0430133,
        0.0431066,
        0.0428605,
        0.0425709,
        0.04374,
        0.0443235,
        0.0438247,
        0.0431436,
        0.0435668,
        0.0434339,
        0.0438226,
        0.044116,
        0.0489693,
        0.0489254,
        0.043889,
        0.0435056,
        0.0433726,
        0.0429771,
        0.0433415,
        0.0435554,
        0.044936,
        0.0446556,
        0.0432501,
        0.0432351,
        0.0438971,
        0.0440221,
        0.0439959,
        0.0443303,
        0.0435299,
        0.0433515,
        0.0435814,
        0.0437036,
        0.043882,
        0.0437312,
        0.0442349,
        0.0444647,
        0.0448045,
        0.044907,
        0.0456543,
        0.0459244,
        0.0464425,
        0.0470411,
        0.0478682,
        0.0488539,
        0.0500668,
        0.0515993,
        0.0533644,
        0.0548523,
        0.0555919,
        0.054898,
        0.0541538,
        0.0536197,
        0.0519202,
        0.0513438,
        0.0515164,
        0.0522175,
        0.0529465,
        0.0534813,
        0.0527459,
        0.0516233,
        0.0502916,
        0.0490432,
        0.0483013,
        0.0473857,
        0.0468408,
        0.0463943,
        0.0459495,
        0.0454386,
        0.0451882,
        0.0448597,
        0.0448745,
        0.0517263,
        0.0514214,
        0.0441549,
        0.043576,
        0.0437077,
        0.0517401,
        0.0487355,
        0.045217,
        0.0453005,
        0.0447423,
        0.0447588,
        0.0450703,
        0.0446821,
        0.0435565,
        0.0433151,
        0.0435635,
        0.043615,
        0.0440399,
        0.0443529,
        0.0441265,
        0.0440011,
        0.0443099,
        0.0447332,
        0.044741,
        0.0452254,
        0.0454768,
        0.0457317,
        0.0461871,
        0.0470648,
        0.047374,
        0.0471169,
        0.0465054,
        0.0460338,
        0.0463154,
        0.046027,
        0.0460118,
        0.046008,
        0.0462512,
        0.0462389,
        0.0458568,
        0.0463276,
        0.0464594,
        0.0470186,
        0.0477885,
        0.0522186,
        0.0524551,
        0.0469181,
        0.0473651,
        0.0474291,
        0.0479619,
        0.0478919,
        0.0482433,
        0.0484371,
        0.0488496,
        0.0494552,
        0.0506781,
        0.0524522,
        0.0608715,
        0.0631638,
        0.0562098,
        0.0566417,
        0.0562388,
        0.0550037,
        0.0536722,
        0.0516954,
        0.0507441,
        0.0493312,
        0.0486146,
        0.0486102,
        0.048093,
        0.0472811,
        0.0476608,
        0.0475224,
        0.0469553,
        0.0466582,
        0.0474567,
        0.047905,
        0.0481928,
        0.0487983,
        0.0492772,
        0.0500446,
        0.0511486,
        0.053262,
        0.0561124,
        0.0596483,
        0.0643322,
        0.0796143,
        0.0807473,
        0.075987,
        0.0769544,
        0.0758722,
        0.0715749,
        0.0661399,
        0.0623586,
        0.0644587,
        0.0616412,
        0.0547369,
        0.053002,
        0.0520508,
        0.0517071,
        0.0508597,
        0.049488,
        0.0493904,
        0.0490625,
        0.0492543,
        0.049018,
        0.0493631,
        0.0546344,
        0.0533511,
        0.0487376,
        0.0488514,
        0.0496811,
        0.0493506,
        0.0499994,
        0.0499545,
        0.0480478,
        0.0481619,
        0.0477174,
        0.0474776,
        0.0469772,
        0.04699,
        0.0502175,
        0.0496085,
        0.0467413,
        0.0464642,
        0.0463697,
        0.0460107,
        0.0455557,
        0.0455495,
        0.0457176,
        0.053314,
        0.0546324,
        0.0467005,
        0.046195,
        0.0457651,
        0.0454309,
        0.0453731,
        0.0454437,
        0.0455476,
        0.0456082,
        0.0453211,
        0.0453994,
        0.0454827,
        0.0454522,
        0.0456742,
        0.0459158,
        0.0458014,
        0.0473449,
        0.0469975,
        0.0473941,
        0.0479969,
        0.048496,
        0.0562657,
        0.0562065,
        0.0495462,
        0.0506269,
        0.052006,
        0.0522263,
        0.0522563,
        0.0528528,
        0.0525153,
        0.0522869,
        0.0507233,
        0.0547937,
        0.0553388,
        0.0502655,
        0.0503087,
        0.0505893,
        0.0513159,
        0.0515221,
        0.0515124,
        0.0525344,
        0.0528713,
        0.0538473,
        0.0553838,
        0.057298,
        0.058586,
        0.0590604,
        0.0583191,
        0.0574465,
        0.0550693,
        0.0539514,
        0.0527255,
        0.0515982,
        0.0506503,
        0.0499828,
        0.0498425,
        0.0495294,
        0.051208,
        0.0493488,
        0.0485392,
        0.0484673,
        0.0479643,
        0.0481778,
        0.0483824,
        0.0483003,
        0.0482553,
        0.0490568,
        0.0479005,
        0.0484262,
        0.0491349,
        0.0495201,
        0.0485498,
        0.0482439,
        0.0480728,
        0.0482829,
        0.0480673,
        0.0483725,
        0.0505766,
        0.0502978,
        0.0475329,
        0.0475521,
        0.0479479,
        0.04856,
        0.0487015,
        0.0515106,
        0.051362,
        0.0475407,
        0.0476023,
        0.0546346,
        0.0547668,
        0.0484408,
        0.048933,
        0.0551368,
        0.056391,
        0.0495585,
        0.0496943,
        0.0551474,
        0.0550541,
        0.0500443,
        0.0503247,
        0.0499241,
        0.0499709,
        0.0497854,
        0.0498384,
        0.0498758,
        0.0498947,
        0.0505694,
        0.0528903,
        0.051901,
        0.0498567,
        0.0497181,
        0.0498633,
        0.04964,
        0.0490568,
        0.0494161,
        0.0493735,
        0.0495948,
        0.0494851,
        0.0494749,
        0.0493928,
        0.0493554,
        0.0494415,
        0.0497381,
        0.0494938,
        0.0491806,
        0.0495656,
        0.0492344,
        0.0482586,
        0.0485996,
        0.0490936,
        0.0488617,
        0.0486815,
        0.0493077,
        0.048876,
        0.0493615,
        0.0489613,
        0.0492021,
        0.0493617,
        0.0502204,
        0.0494758,
        0.0493582,
        0.0484609,
        0.0490053,
        0.0490799,
        0.0494769,
        0.0499426,
        0.0501503,
        0.0499147,
        0.050145,
        0.0527292,
        0.0517654,
        0.0507619,
        0.0513952,
        0.0521091,
        0.0527965,
        0.0527023,
        0.0530334,
        0.0534572,
        0.0541496,
        0.0540759,
        0.0550336,
        0.0548205,
        0.0543979,
        0.0544425,
        0.0543958,
        0.0544533,
        0.0541493,
        0.0539462,
        0.0541361,
        0.054293,
        0.0538861,
        0.0628911,
        0.0604112,
        0.0536939,
        0.0531872,
        0.0527741,
        0.0529468,
        0.053063,
        0.0540345,
        0.0533678,
        0.0527021,
        0.0527679,
        0.0529204,
        0.053262,
        0.053052,
        0.0529044,
        0.0532048,
        0.0535038,
        0.0533489,
        0.0527371,
        0.0528982,
        0.0531964,
        0.0551476,
        0.0569819,
        0.0526561,
        0.0530222,
        0.0530743,
        0.0531843,
        0.053776,
        0.0534683,
        0.0538111,
        0.0546146,
        0.0554453,
        0.0550379,
        0.0550228,
        0.0550988,
        0.0562989,
        0.0566237,
        0.0577422,
        0.0581493,
        0.0592805,
        0.0588078,
        0.0579114,
        0.0577468,
        0.0570843,
        0.0569882,
        0.0570951,
        0.0567058,
        0.0565533,
        0.0561562,
        0.0627202,
        0.0655902,
        0.0563913,
        0.0568271,
        0.0569534,
        0.0578819,
        0.0589887,
        0.0594495,
        0.0593284,
        0.0598064,
        0.0606242,
        0.0610107,
        0.0619841,
        0.062608,
        0.0640768,
        0.0655176,
        0.068239,
        0.0709068,
        0.0738001,
        0.0756372,
        0.0761989,
        0.0753324,
        0.0738998,
        0.0715273,
        0.0701056,
        0.0695416,
        0.0695437,
        0.0680721,
        0.0729021,
        0.0721548,
        0.0651959,
        0.0651107,
        0.070516,
        0.0705169,
        0.0654689,
        0.0650951,
        0.066021,
        0.0655177,
        0.0649995,
        0.0653838,
        0.0648002,
        0.0652871,
        0.065412,
        0.0654637,
        0.0664937,
        0.0671995,
        0.0678962,
        0.0681074,
        0.0693578,
        0.0775531,
        0.0776333,
        0.0701909,
        0.071005,
        0.0723379,
        0.0741672,
        0.0746914,
        0.0752205,
        0.0756156,
        0.0758121,
        0.07626,
        0.0772413,
        0.0788259,
        0.0807004,
        0.0823917,
        0.083899,
        0.0857472,
        0.0872613,
        0.0882326,
        0.089565,
        0.0921336,
        0.0949229,
        0.0988348,
        0.101004,
        0.104346,
        0.109235,
        0.114786,
        0.120276,
        0.125294,
        0.129675,
        0.134776,
        0.143973,
        0.150863,
        0.157236,
        0.179245,
        0.523105,
        0.350556,
        0.338314,
        0.294714,
        0.255176,
        0.20366,
        0.186053,
        0.17779,
        0.170371,
        0.15982,
        0.14542,
        0.137113,
        0.130801,
        0.128736,
        0.122323,
        0.119304,
        0.11868,
        0.118935,
        0.114855,
        0.11205,
        0.110524,
        0.109345,
        0.108799,
        0.108202,
        0.105741,
        0.103685,
        0.100855,
        0.100813,
        0.10302,
        0.102154,
        0.102709,
        0.104821,
        0.107835,
        0.113198,
        0.118115,
        0.120606,
        0.120385,
        0.116072,
        0.114237,
        0.119594,
        0.116021,
        0.0984134,
        0.101761,
        0.098618,
        0.0924701,
        0.0859793,
        0.0836779,
        0.0902363,
        0.0903653,
        0.0819772,
        0.0824765,
        0.0900017,
        0.0892747,
        0.0808685,
        0.0804443,
        0.0797637,
        0.0789525,
        0.0787651,
        0.0775685,
        0.0774167,
        0.082558,
        0.0818616,
        0.0748312,
        0.0773536,
        0.0780173,
        0.0743629,
        0.07356,
        0.0722691,
        0.0717505,
        0.0710103,
        0.0700346,
        0.069789,
        0.0741153,
        0.0704578,
        0.072796,
        0.0743678,
        0.0677132,
        0.0677614,
        0.0678387,
        0.0718434,
        0.0748851,
        0.0658386,
        0.0654428,
        0.0653735,
        0.0658118,
        0.0667473,
        0.0664685,
        0.0648755,
        0.0643874,
        0.0649115,
        0.0654945,
        0.0670515,
        0.0662675,
        0.064995,
        0.0644573,
        0.0654205,
        0.0660526,
        0.0663292,
        0.0654195,
        0.0651012,
        0.0653568,
        0.0659602,
        0.06655,
        0.0655465,
        0.0649517,
        0.0653039,
        0.0661172,
        0.0658592,
        0.0665082,
        0.0678055,
        0.0677285,
        0.0661469,
        0.0663234,
        0.0665434,
        0.0669967,
        0.0657615,
        0.0662033,
        0.0657564,
        0.0641465,
        0.063828,
        0.0642453,
        0.0644388,
        0.0642454,
        0.0639293,
        0.0641508,
        0.064556,
        0.0627664,
        0.0623181,
        0.0629334,
        0.062725,
        0.0629395,
        0.0628089,
        0.0629465,
        0.0626375,
        0.0623366,
        0.0626236,
        0.0636176,
        0.0640111,
        0.0648368,
        0.0662926,
        0.0656227,
        0.0646653,
        0.0678848,
        0.0687093,
        0.0669391,
        0.0661635,
        0.0656297,
        0.0651722,
        0.0643952,
        0.0649985,
        0.0645468,
        0.0639051,
        0.0640934,
        0.0631285,
        0.0634405,
        0.0647529,
        0.0645782,
        0.0629321,
        0.0631775,
        0.0630283,
        0.0634921,
        0.0643095,
        0.0637484,
        0.0631795,
        0.0633104,
        0.0663961,
        0.0668797,
        0.0632471,
        0.0640692,
        0.0645731,
        0.0648242,
        0.0664792,
        0.0667061,
        0.065411,
        0.0662026,
        0.0656582,
        0.0666948,
        0.0676249,
        0.0675583,
        0.0664558,
        0.066854,
        0.0747944,
        0.0756107,
        0.0666358,
        0.0657981,
        0.0650594,
        0.0653462,
        0.0647048,
        0.0647735,
        0.0643259,
        0.063954,
        0.0640638,
        0.0644229,
        0.0637272,
        0.0633669,
        0.0631444,
        0.06357,
        0.0641942,
        0.063877,
        0.0668448,
        0.0668008,
        0.0643423,
        0.0646524,
        0.0643652,
        0.0642121,
        0.0636641,
        0.0633326,
        0.0629669,
        0.0635118,
        0.0626479,
        0.0624876,
        0.0626275,
        0.0638578,
        0.0635768,
        0.0628639,
        0.0627358,
        0.0634817,
        0.0636959,
        0.0633256,
        0.06386,
        0.0640261,
        0.0647373,
        0.0647651,
        0.065604,
        0.0663759,
        0.0667412,
        0.0675195,
        0.0751683,
        0.0729853,
        0.0706522,
        0.0724169,
        0.074901,
        0.0766949,
        0.0978865,
        0.095156,
        0.0877216,
        0.0892672,
        0.0870141,
        0.0839094,
        0.0800278,
        0.0769378,
        0.0749194,
        0.0738117,
        0.0727379,
        0.0713027,
        0.070199,
        0.0698451,
        0.0692587,
        0.0688032,
        0.0688437,
        0.0688749,
        0.0694717,
        0.0684012,
        0.067874,
        0.0687502,
        0.0688073,
        0.0686114,
        0.0703752,
        0.0695727,
        0.0674295,
        0.0679765,
        0.0695228,
        0.0690276,
        0.0700899,
        0.0696114,
        0.0682067,
        0.0679011,
        0.0696218,
        0.069245,
        0.067665,
        0.0672147,
        0.0666182,
        0.0660783,
        0.0669211,
        0.0676047,
        0.0679242,
        0.0669146,
        0.0655947,
        0.0652199,
        0.0657506,
        0.0664647,
        0.0664742,
        0.0667389,
        0.0663161,
        0.0666204,
        0.0673256,
        0.0675049,
        0.0691033,
        0.0683079,
        0.0682268,
        0.0690443,
        0.0695378,
        0.0706198,
        0.0711887,
        0.0705087,
        0.070443,
        0.069858,
        0.0760033,
        0.0822453,
        0.074175,
        0.0699117,
        0.070337,
        0.0710589,
        0.0715273,
        0.071926,
        0.0718849,
        0.0722384,
        0.0720995,
        0.07193,
        0.0719784,
        0.0723418,
        0.0736606,
        0.0737891,
        0.0736652,
        0.073355,
        0.0737187,
        0.0745854,
        0.0752183,
        0.0754767,
        0.0747724,
        0.075016,
        0.0760978,
        0.0774235,
        0.0764676,
        0.0809646,
        0.0909774,
        0.083395,
        0.0764377,
        0.0773382,
        0.0780665,
        0.0783856,
        0.0771699,
        0.077193,
        0.0783843,
        0.0784723,
        0.0783184,
        0.0781956,
        0.0796439,
        0.0799327,
        0.0798236,
        0.0795702,
        0.0792779,
        0.0799855,
        0.0832629,
        0.0839089,
        0.0814442,
        0.0951789,
        0.0946359,
        0.082039,
        0.0824023,
        0.0844076,
        0.085087,
        0.0846965,
        0.0934329,
        0.0945415,
        0.0871959,
        0.0879019,
        0.0891061,
        0.0901851,
        0.0903925,
        0.0911626,
        0.0920918,
        0.093656,
        0.0939112,
        0.094259,
        0.0962021,
        0.101967,
        0.1018,
        0.100154,
        0.101286,
        0.10239,
        0.103997,
        0.10558,
        0.107101,
        0.111428,
        0.112435,
        0.11397,
        0.115025,
        0.115576,
        0.116679,
        0.119041,
        0.120902,
        0.122581,
        0.124432,
        0.127081,
        0.131508,
        0.137946,
        0.141385,
        0.139768,
        0.142281,
        0.146928,
        0.150857,
        0.157676,
        0.161231,
        0.16372,
        0.166753,
        0.172066,
        0.178883,
        0.186856,
        0.19416,
        0.201337,
        0.219449,
        0.232692,
        0.24354,
        0.249666,
        0.252927,
        0.277996,
        null,
        0.0833202,
        0.0833519,
        0.0796187,
        0.079523,
        0.0797748,
        0.0799278,
        0.0804703,
        0.0824567,
        0.0864409,
        0.0859075,
        0.0827101,
        0.0826947,
        0.0823155,
        0.0821554,
        0.0823904,
        0.0824377,
        0.0825962,
        0.082755,
        0.0824726,
        0.0829085,
        0.0840784,
        0.0846048,
        0.084508,
        0.0850059,
        0.0857831,
        0.0854454,
        0.085334,
        0.0850118,
        0.0851182,
        0.0851799,
        0.0852361,
        0.0853963,
        0.0858144,
        0.0868148,
        0.087336,
        0.100599,
        0.100694,
        0.0868153,
        0.0867695,
        0.0895851,
        0.0888882,
        0.088507,
        0.0889441,
        0.0898757,
        0.0919236,
        0.0931384,
        0.094193,
        0.0956607,
        0.0968691,
        0.0974451,
        0.0982849,
        0.0993291,
        0.100019,
        0.1008,
        0.101125,
        0.102316,
        0.105643,
        0.109702,
        0.115035,
        0.120909,
        0.124396,
        0.125161,
        0.120725,
        0.116117,
        0.112331,
        0.109072,
        0.108032,
        0.107933,
        0.108707,
        0.1105,
        0.112984,
        0.114267,
        0.114471,
        0.113563,
        0.113573,
        0.115534,
        0.116986,
        0.11727,
        0.118613,
        0.121173,
        0.122993,
        0.124446,
        0.132641,
        0.134119,
        0.128601,
        0.130639,
        0.132724,
        0.136867,
        0.139056,
        0.148874,
        0.150048,
        0.1434,
        0.146505,
        0.149943,
        0.151988,
        0.166938,
        0.170576,
        0.160447,
        0.17771,
        0.245348,
        0.25747,
        null,
        0.299604,
        0.295253,
        0.287641,
        0.279505,
        0.259751,
        0.252851,
        0.235855,
        0.234685,
        0.257814,
        0.222557,
        0.222366,
        0.221952,
        0.215559,
        0.210028,
        0.212966,
        0.215878,
        0.221893,
        0.220229,
        0.223746,
        0.226516,
        0.231914,
        0.24673,
        0.246027,
        0.24736,
        0.249752,
        null,
        0.243458,
        0.217731,
        0.215195,
        0.205828,
        0.203834,
        0.196407,
        0.189767,
        0.185076,
        0.182821,
        0.181292,
        0.178426,
        0.164665,
        0.163564,
        0.161516,
        0.159602,
        0.157149,
        0.154426,
        0.149447,
        0.174824,
        0.173789,
        0.145882,
        0.144304,
        0.139488,
        0.134165,
        0.133212,
        0.13014,
        0.130031,
        0.130705,
        0.130553,
        0.126746,
        0.122764,
        0.121271,
        0.119503,
        0.118307,
        0.119118,
        0.117656,
        0.115755,
        0.1153,
        0.114175,
        0.111718,
        0.109828,
        0.108834,
        0.109103,
        0.107121,
        0.10568,
        0.105744,
        0.10302,
        0.101506,
        0.100788,
        0.09903,
        0.098886,
        0.0981192,
        0.101139,
        0.100656,
        0.0954349,
        0.0948007,
        0.0935037,
        0.0925051,
        0.0927321,
        0.0929108,
        0.100457,
        0.0996521,
        0.0913063,
        0.0948263,
        0.0942708,
        0.0900474,
        0.0904117,
        0.0905446,
        0.0904816,
        0.0899797,
        0.0894384,
        0.0880964,
        0.0881778,
        0.0882804,
        0.0888874,
        0.113726,
        0.106335,
        0.0877827,
        0.087188,
        0.0867152,
        0.0868297,
        0.0862954,
        0.0873342,
        0.0871401,
        0.0895895,
        0.0919019,
        0.0869079,
        0.0876849,
        0.0882828,
        0.0880388,
        0.0875542,
        0.0871184,
        0.0872449,
        0.0862872,
        0.0849237,
        0.0838713,
        0.0834597,
        0.0818575,
        0.0863116,
        0.0830768,
        0.0794918,
        0.0788401,
        0.0784558,
        0.0785316,
        0.0783617,
        0.0785382,
        0.0825765,
        0.0838548,
        0.0827786,
        0.0846906,
        0.0886497,
        0.0911315,
        0.0921029,
        0.0913165,
        0.0880137,
        0.0840941,
        0.0811697,
        0.0790418,
        0.0777159,
        0.0760192,
        0.0749878,
        0.0747108,
        0.0748878,
        0.0868603,
        0.0863714,
        0.0736598,
        0.0740845,
        0.073829,
        0.0726768,
        0.0723011,
        0.0726779,
        0.0726466,
        0.0727041,
        0.0721099,
        0.072312,
        0.0726712,
        0.0727518,
        0.0741812,
        0.0753976,
        0.0732572,
        0.0743329,
        0.0752908,
        0.0752145,
        0.075843,
        0.0767579,
        0.077206,
        0.0775163,
        0.0763512,
        0.0752172,
        0.0743954,
        0.0745971,
        0.0738412,
        0.0718721,
        0.0720976,
        0.071683,
        0.0718888,
        0.0708414,
        0.0703749,
        0.0705081,
        0.0703056,
        0.0700565,
        0.0689812,
        0.0683851,
        0.0682682,
        0.0678643,
        0.0677556,
        0.0675089,
        0.0673989,
        0.0673549,
        0.0664025,
        0.0665687,
        0.0660528,
        0.0660376,
        0.0652286,
        0.0646975,
        0.0651125,
        0.0651468,
        0.0654937,
        0.065475,
        0.0658999,
        0.0660573,
        0.0668578,
        0.068024,
        0.0687204,
        0.0702407,
        0.0716384,
        0.0732508,
        0.0751605,
        0.0881767,
        0.0899986,
        0.0808172,
        0.0817781,
        0.0830678,
        0.0826651,
        0.0811409,
        0.0795569,
        0.0769868,
        0.0741554,
        0.0719039,
        0.0702747,
        0.0699903,
        0.069001,
        0.0685641,
        0.0794835,
        0.0732192,
        0.0656774,
        0.0647762,
        0.0647396,
        0.0645828,
        0.0638439,
        0.0634963,
        0.0633387,
        0.0633447,
        0.0623486,
        0.0617099,
        0.0614482,
        0.061635,
        0.0614087,
        0.0613805,
        0.0608715,
        0.0604704,
        0.0603939,
        0.060251,
        0.0605229,
        0.0601044,
        0.0598058,
        0.0594389,
        0.0590434,
        0.059192,
        0.0588745,
        0.0589402,
        0.0586417,
        0.0588912,
        0.0594705,
        0.0603473,
        0.0574413,
        0.0588003,
        0.059208,
        0.0576724,
        0.0574827,
        0.0572212,
        0.0577302,
        0.0589512,
        0.058253,
        0.0581928,
        0.0580457,
        0.0579424,
        0.0583288,
        0.0583259,
        0.0585571,
        0.058754,
        0.05932,
        0.0594639,
        0.0599597,
        0.0605053,
        0.0604174,
        0.0602788,
        0.0598881,
        0.0592754,
        0.0581993,
        0.0585482,
        0.058753,
        0.058484,
        0.0580977,
        0.0583544,
        0.0580515,
        0.0579916,
        0.0585734,
        0.0588908,
        0.058592,
        0.0586679,
        0.0588161,
        0.0582207,
        0.0583689,
        0.0588184,
        0.0583397,
        0.0581319,
        0.0581658,
        0.0580826,
        0.0582042,
        0.0586762,
        0.0585678,
        0.062156,
        0.0601026,
        0.0582638,
        0.0612866,
        0.061674,
        0.0575463,
        0.0578677,
        0.058139,
        0.0579598,
        0.0588292,
        0.0598684,
        0.0601497,
        0.0611206,
        0.0622502,
        0.0648004,
        0.0667913,
        0.0682506,
        0.0691812,
        0.0671667,
        0.0647966,
        0.062422,
        0.0606282,
        0.0598971,
        0.0590106,
        0.0582903,
        0.0576771,
        0.0568399,
        0.0560759,
        0.0562117,
        0.0559619,
        0.0566256,
        0.0598548,
        0.0596018,
        0.0570307,
        0.0577298,
        0.0580698,
        0.0576859,
        0.0572693,
        0.0571548,
        0.0659986,
        0.0638135,
        0.0574421,
        0.0571163,
        0.0570476,
        0.0571173,
        0.0571978,
        0.0580105,
        0.0579083,
        0.0577146,
        0.0574246,
        0.0575451,
        0.0571314,
        0.0566167,
        0.056983,
        0.0570527,
        0.0570285,
        0.0575243,
        0.0571471,
        0.0566609,
        0.0563888,
        0.0563191,
        0.056117,
        0.0572967,
        0.0560701,
        0.0556049,
        0.0555565,
        0.0554705,
        0.0551661,
        0.055007,
        0.0557031,
        0.0555076,
        0.0555559,
        0.0556476,
        0.0552773,
        0.0553476,
        0.054845,
        0.0570266,
        0.0585712,
        0.0556087,
        0.055458,
        0.0553301,
        0.0546879,
        0.0547172,
        0.0547673,
        0.0556977,
        0.0559846,
        0.0564312,
        0.0566312,
        0.0574626,
        0.0583505,
        0.0593458,
        0.0599619,
        0.0606882,
        0.0610067,
        0.0611529,
        0.0608469,
        0.060149,
        0.0599355,
        0.0599356,
        0.0610633,
        0.0618829,
        0.0626413,
        0.0634556,
        0.0647452,
        0.0652947,
        0.0654935,
        0.0655428,
        0.0642143,
        0.0627286,
        0.0618842,
        0.0608381,
        0.0600321,
        0.059219,
        0.0583455,
        0.0576549,
        0.0577318,
        0.056862,
        0.0567169,
        0.0569283,
        0.0567204,
        0.056147,
        0.0557368,
        0.0556173,
        0.0551746,
        0.0551789,
        0.0551951,
        0.0542518,
        0.0540518,
        0.0546528,
        0.0555364,
        0.0562724,
        0.0536238,
        0.0535834,
        0.0539063,
        0.0548896,
        0.0549023,
        0.0535827,
        0.0526034,
        0.0525875,
        0.0534196,
        0.0530358,
        0.0523673,
        0.0523247,
        0.0520769,
        0.0523694,
        0.0526848,
        0.0523132,
        0.0518397,
        0.051904,
        0.0523241,
        0.0525223,
        0.0523199,
        0.0527123,
        0.0526991,
        0.0529173,
        0.0526348,
        0.0532881,
        0.0532093,
        0.0535943,
        0.0531363,
        0.0536408,
        0.0537238,
        0.0543155,
        0.0554223,
        0.0567635,
        0.0562015,
        0.0550288,
        0.0547518,
        0.0549958,
        0.0551222,
        0.0555262,
        0.0597804,
        0.0575489,
        0.0554252,
        0.0566191,
        0.0572344,
        0.0575167,
        0.0581441,
        0.0590193,
        0.0602407,
        0.0600048,
        0.0603622,
        0.0604801,
        0.0604968,
        0.0597975,
        0.059347,
        0.058903,
        0.0583784,
        0.0576939,
        0.057254,
        0.0569397,
        0.0567676,
        0.0574294,
        0.0570936,
        0.0562091,
        0.0559197,
        0.0563345,
        0.0564036,
        0.0567682,
        0.0573047,
        0.0588796,
        0.0603891,
        0.0615636,
        0.062357,
        0.0641557,
        0.0659759,
        0.0657794,
        0.0651858,
        0.0629376,
        0.0604904,
        0.0656512,
        0.0637858,
        0.0560043,
        0.0552828,
        0.0544578,
        0.0561316,
        0.0547337,
        0.0538063,
        0.054017,
        0.0539135,
        0.053769,
        0.053412,
        0.0536065,
        0.0534574,
        0.0539337,
        0.0628795,
        0.0623881,
        0.0538205,
        0.0539852,
        0.0541566,
        0.053997,
        0.0542744,
        0.0541324,
        0.0546589,
        0.0551828,
        0.0552035,
        0.0549372,
        0.0549912,
        0.059437,
        0.0616724,
        0.055761,
        0.0550187,
        0.0545649,
        0.0546931,
        0.0543109,
        0.054475,
        0.0542528,
        0.054277,
        0.0545226,
        0.0543318,
        0.0546795,
        0.0546777,
        0.0560305,
        0.0557769,
        0.0537255,
        0.0536839,
        0.0542051,
        0.0541507,
        0.0544162,
        0.0544147,
        0.0537875,
        0.0531818,
        0.0529647,
        0.0533089,
        0.0536451,
        0.0539182,
        0.0535582,
        0.0532945,
        0.0527778,
        0.0526156,
        0.0532908,
        0.0530187,
        0.0534271,
        0.0536458,
        0.0541321,
        0.0550285,
        0.0552953,
        0.0550012,
        0.0559497,
        0.057068,
        0.0569825,
        0.0576969,
        0.0580916,
        0.0594945,
        0.0593849,
        0.05822,
        0.0574288,
        0.0569186,
        0.0571236,
        0.0564108,
        0.0560397,
        0.0555008,
        0.0548899,
        0.0556082,
        0.0560812,
        0.0566812,
        0.0563855,
        0.0558841,
        0.0560035,
        0.0560008,
        0.0560941,
        0.05618,
        0.0564216,
        0.0562378,
        0.0564901,
        0.0568798,
        0.0566062,
        0.056813,
        0.0565851,
        0.0567753,
        0.0577824,
        0.0578651,
        0.0575026,
        0.058317,
        0.0589285,
        0.0610869,
        0.0619927,
        0.0618406,
        0.0622534,
        0.0616805,
        0.060889,
        0.0609093,
        0.0607083,
        0.0607817,
        0.0602676,
        0.0602715,
        0.0611516,
        0.0695366,
        0.0709506,
        0.065313,
        0.0678752,
        0.0706062,
        0.0729858,
        0.0752012,
        0.0759587,
        0.0748452,
        0.0738539,
        0.0714509,
        0.0686589,
        0.0666499,
        0.0651483,
        0.0633818,
        0.0607477,
        0.0590499,
        0.0577771,
        0.0572003,
        0.0572805,
        0.0611102,
        0.0601096,
        0.0563978,
        0.0569865,
        0.0565821,
        0.0554369,
        0.0554359,
        0.0554669,
        0.0560862,
        0.0561557,
        0.0557146,
        0.0557009,
        0.0558982,
        0.0561917,
        0.0566918,
        0.0570475,
        0.0573463,
        0.0573446,
        0.0572413,
        0.0570659,
        0.0564787,
        0.0568847,
        0.0574525,
        0.057589,
        0.0575575,
        0.0575997,
        0.057977,
        0.0584119,
        0.0584964,
        0.0584019,
        0.0586502,
        0.0592397,
        0.0588896,
        0.0587904,
        0.058934,
        0.0585752,
        0.0582085,
        0.0585506,
        0.0594184,
        0.0591715,
        0.0590969,
        0.0594509,
        0.0600248,
        0.0646674,
        0.0654459,
        0.0609518,
        0.0622097,
        0.0642582,
        0.0652459,
        0.0668525,
        0.0683779,
        0.0674185,
        0.0674157,
        0.0669927,
        0.0649048,
        0.0629009,
        0.0617876,
        0.0611663,
        0.0610943,
        0.061061,
        0.0618594,
        0.0624635,
        0.06061,
        0.0602405,
        0.0597432,
        0.0591822,
        0.0585583,
        0.0590842,
        0.0596319,
        0.0604806,
        0.0607151,
        0.0617391,
        0.0665941,
        0.0663809,
        0.0613672,
        0.0613048,
        0.0618375,
        0.0617531,
        0.062024,
        0.0623641,
        0.0631962,
        0.0633509,
        0.063589,
        0.0639399,
        0.0636484,
        0.0636182,
        0.0638903,
        0.0650505,
        0.0652529,
        0.0656115,
        0.0661695,
        0.0663001,
        0.0667216,
        0.0674072,
        0.0686483,
        0.0683131,
        0.0679344,
        0.0695018,
        0.0688272,
        0.0690703,
        0.0698937,
        0.0693763,
        0.0695031,
        0.0689174,
        0.0689965,
        0.0702026,
        0.0710092,
        0.0715302,
        0.0716765,
        0.0731225,
        0.0734467,
        0.0722689,
        0.0789953,
        0.0766383,
        0.0729536,
        0.0735492,
        0.0742484,
        0.0751163,
        0.075137,
        0.0757046,
        0.0761736,
        0.0772558,
        0.0776109,
        0.079253,
        0.0792882,
        0.0811825,
        0.0829856,
        0.0842785,
        0.0841935,
        0.0855022,
        0.0864758,
        0.0877169,
        0.0893969,
        0.0913751,
        0.0926274,
        0.095388,
        0.0979073,
        0.100048,
        0.102906,
        0.106316,
        0.1095,
        0.112951,
        0.11578,
        0.119824,
        0.122728,
        0.12786,
        0.132775,
        0.138601,
        0.145011,
        0.15093,
        0.169012,
        0.186745,
        0.292934,
        0.245029,
        0.228658,
        0.214424,
        0.199335,
        0.188032,
        0.17832,
        0.167875,
        0.160671,
        0.154559,
        0.147153,
        0.142005,
        0.136423,
        0.131422,
        0.128563,
        0.124794,
        0.121353,
        0.117565,
        0.115538,
        0.112885,
        0.111441,
        0.110209,
        0.108291,
        0.106408,
        0.106886,
        0.10612,
        0.1037,
        0.100626,
        0.0988713,
        0.0970353,
        0.0949388,
        0.103928,
        0.103384,
        0.0998929,
        0.0983249,
        0.101467,
        0.105031,
        0.0918941,
        0.0911213,
        0.0908399,
        0.0909872,
        0.0919716,
        0.0925196,
        0.092615,
        0.0914123,
        0.0903307,
        0.089137,
        0.0866308,
        0.0837078,
        0.0830533,
        0.0839227,
        0.0842399,
        0.0817629,
        0.0814911,
        0.07845,
        0.0780728,
        0.0774608,
        0.0776662,
        0.0775199,
        0.0767918,
        0.0761393,
        0.0757107,
        0.0760963,
        0.0765224,
        0.0765374,
        0.0770574,
        0.0764751,
        0.0765986,
        0.0771279,
        0.0769833,
        0.0764858,
        0.0764442,
        0.0766775,
        0.0774402,
        0.0791707,
        0.0815103,
        0.0898194,
        0.0884237,
        0.0793504,
        0.0784147,
        0.0787115,
        0.0795738,
        0.0801724,
        0.0809255,
        0.0793514,
        0.0789371,
        0.0788472,
        0.0799301,
        0.0906108,
        0.088692,
        0.0807335,
        0.0817166,
        0.0818232,
        0.0811419,
        0.0803563,
        0.0808833,
        0.0813847,
        0.0821823,
        0.0815801,
        0.0821236,
        0.0834471,
        0.0831345,
        0.0844255,
        0.0849323,
        0.0838615,
        0.083169,
        0.0855777,
        0.0869548,
        0.0848705,
        0.0854708,
        0.0862147,
        0.0870785,
        0.0880184,
        0.0894642,
        0.0902869,
        0.0915458,
        0.0910761,
        0.0918848,
        0.0939466,
        0.0972011,
        0.0981015,
        0.108311,
        0.108901,
        0.103108,
        0.105117,
        0.107695,
        0.1103,
        0.115354,
        0.121249,
        0.127027,
        0.130959,
        0.137646,
        0.155746,
        0.161263,
        0.165542,
        0.168614,
        0.170264,
        0.196321,
        0.204584,
        0.401244,
        0.19784,
        0.181538,
        0.172626,
        0.165769,
        0.161226,
        0.153921,
        0.148668,
        0.144402,
        0.138563,
        0.134593,
        0.132387,
        0.130517,
        0.128756,
        0.129143,
        0.125456,
        0.122715,
        0.120314,
        0.116651,
        0.113925,
        0.11188,
        0.110465,
        0.109801,
        0.110345,
        0.112121,
        0.110869,
        0.111693,
        0.1112,
        0.107902,
        0.12022,
        0.113023,
        0.0998109,
        0.0978434,
        0.0946557,
        0.0933409,
        0.0903512,
        0.089383,
        0.0900417,
        0.0885759,
        0.0870497,
        0.0868736,
        0.0876792,
        0.0867034,
        0.0870262,
        0.0850313,
        0.0833427,
        0.0835371,
        0.0823916,
        0.0814406,
        0.0817804,
        0.0815238,
        0.082773,
        0.0827645,
        0.0835028,
        0.0836976,
        0.082117,
        0.0821119,
        0.0821982,
        0.0818001,
        0.080849,
        0.0817961,
        0.0822554,
        0.0806581,
        0.0793912,
        0.0784168,
        0.0789888,
        0.0790384,
        0.078255,
        0.0772495,
        0.0774485,
        0.0780113,
        0.0770992,
        0.0772196,
        0.0761722,
        0.0764101,
        0.0775959,
        0.0764818,
        0.0760107,
        0.076201,
        0.0766918,
        0.0791612,
        0.0738378,
        0.0736999,
        0.0735323,
        0.0738439,
        0.0735702,
        0.0721071,
        0.0713779,
        0.0713899,
        0.0714677,
        0.0713859,
        0.0710798,
        0.0717598,
        0.0710362,
        0.0707754,
        0.0718801,
        0.0711868,
        0.0705327,
        0.0704216,
        0.0695919,
        0.0701963,
        0.0704217,
        0.0696243,
        0.0686325,
        0.0683565,
        0.0684336,
        0.0765242,
        0.0782966,
        0.0711005,
        0.0685085,
        0.0685278,
        0.0688178,
        0.067971,
        0.0684852,
        0.0686334,
        0.0689215,
        0.0691972,
        0.0687932,
        0.0679069,
        0.067537,
        0.0679706,
        0.0678817,
        0.0681826,
        0.0681645,
        0.0742622,
        0.0720117,
        0.0692837,
        0.0688541,
        0.0687103,
        0.0686034,
        0.0687925,
        0.0688658,
        0.0691399,
        0.0688999,
        0.0734528,
        0.0739912,
        0.069753,
        0.0698888,
        0.0705746,
        0.0719565,
        0.071656,
        0.0697913,
        0.077125,
        0.0773437,
        0.0698962,
        0.0702119,
        0.0707437,
        0.0706281,
        0.0708092,
        0.0705358,
        0.0733698,
        0.0733559,
        0.0705216,
        0.069547,
        0.0694833,
        0.069218,
        0.0695632,
        0.0694029,
        0.0697236,
        0.0692775,
        0.06895,
        0.0690052,
        0.0685917,
        0.0683693,
        0.0681913,
        0.0682498,
        0.0684911,
        0.0681076,
        0.0683013,
        0.0686172,
        0.0692567,
        0.068942,
        0.0693453,
        0.0696828,
        0.070028,
        0.0692609,
        0.0691677,
        0.0683804,
        0.0759864,
        0.0750068,
        0.066657,
        0.0675315,
        0.0677067,
        0.0672836,
        0.0682734,
        0.0675797,
        0.0682642,
        0.067938,
        0.068201,
        0.0683002,
        0.0684435,
        0.0685514,
        0.0693977,
        0.0707267,
        0.0703368,
        0.0705264,
        0.0705945,
        0.0708749,
        0.0716108,
        0.0720771,
        0.0716533,
        0.0723042,
        0.0808053,
        0.0835381,
        0.0734371,
        0.0744281,
        0.0742376,
        0.0744311,
        0.0755748,
        0.0768237,
        0.077609,
        0.078721,
        0.0795794,
        0.080506,
        0.0813142,
        0.0806108,
        0.0835919,
        0.08469,
        0.0875683,
        0.0918591,
        0.0968173,
        0.101739,
        0.109167,
        0.11967,
        0.133759,
        0.153171,
        0.181425,
        0.260906,
        0.163751,
        0.142549,
        0.128178,
        0.116189,
        0.106341,
        0.0996666,
        0.0932098,
        0.088594,
        0.0849015,
        0.0815935,
        0.0800139,
        0.0784194,
        0.0766648,
        0.0770444,
        0.0761735,
        0.0748894,
        0.0745208,
        0.0738947,
        0.0732174,
        0.0711671,
        0.0708331,
        0.0710477,
        0.0713266,
        0.0792917,
        0.078195,
        0.0705964,
        0.0732625,
        0.0733087,
        0.0709662,
        0.0710425,
        0.0716533,
        0.071046,
        0.0707252,
        0.0714829,
        0.0715737,
        0.0715199,
        0.0706402,
        0.0713218,
        0.0711399,
        0.070817,
        0.0708245,
        0.070703,
        0.0720219,
        0.0723512,
        0.0718326,
        0.0720447,
        0.0718436,
        0.0715977,
        0.0709133,
        0.0714329,
        0.0716196,
        0.0717052,
        0.0702885,
        0.0699526,
        0.070225,
        0.0700975,
        0.0702231,
        0.0700617,
        0.0699724,
        0.0709295,
        0.0705761,
        0.0704277,
        0.0704413,
        0.0708979,
        0.072871,
        0.0724418,
        0.0693486,
        0.0714666,
        0.0711425,
        0.0696619,
        0.0691049,
        0.0705663,
        0.0696784,
        0.0695617,
        0.0693672,
        0.0699081,
        0.0701428,
        0.0698109,
        0.0696531,
        0.0710032,
        0.0744545,
        0.07572,
        0.0753389,
        0.0718148,
        0.0704653,
        0.0721481,
        0.0728881,
        0.0738877,
        0.0730578,
        0.0718248,
        0.0722102,
        0.0723891,
        0.0727829,
        0.0727227,
        0.0729084,
        0.0733344,
        0.0723701,
        0.0726862,
        0.0728176,
        0.0731561,
        0.0728811,
        0.0803581,
        0.0803737,
        0.0740479,
        0.0734504,
        0.0725196,
        0.0730913,
        0.0737394,
        0.0730963,
        0.0730397,
        0.0745312,
        0.0737141,
        0.0736066,
        0.073873,
        0.0745681,
        0.0812219,
        0.0781625,
        0.0746979,
        0.0745975,
        0.0747875,
        0.0753832,
        0.0746974,
        0.0744357,
        0.0752107,
        0.0755625,
        0.0744385,
        0.0741075,
        0.0744553,
        0.0743828,
        0.0739967,
        0.0732718,
        0.0733646,
        0.074286,
        0.0744907,
        0.0745014,
        0.0748141,
        0.0740634,
        0.0740333,
        0.0739961,
        0.073647,
        0.0731146,
        0.0731296,
        0.0732932,
        0.0742805,
        0.0742585,
        0.0738962,
        0.075154,
        0.074723,
        0.0743086,
        0.0734596,
        0.0733651,
        0.0735377,
        0.0733261,
        0.0733732,
        0.0741301,
        0.0746787,
        0.0800024,
        0.0816577,
        0.0743513,
        0.0739727,
        0.0756002,
        0.0761668,
        0.0748077,
        0.0750968,
        0.0761769,
        0.0757985,
        0.0761648,
        0.0786292,
        0.0837137,
        0.0767199,
        0.0770885,
        0.0778302,
        0.0782584,
        0.0787733,
        0.0788923,
        0.0791297,
        0.0800537,
        0.0809145,
        0.0812243,
        0.0813088,
        0.0817889,
        0.082786,
        0.0834488,
        0.0840046,
        0.0842446,
        0.0841451,
        0.0844458,
        0.0834432,
        0.0826368,
        0.0814682,
        0.0822706,
        0.0817195,
        0.0829229,
        0.0819749,
        0.0808101,
        0.0812493,
        0.0821793,
        0.0885322,
        0.0935226,
        0.0854685,
        0.0862331,
        0.0862848,
        0.0851358,
        0.0836484,
        0.0826808,
        0.0824279,
        0.0821725,
        0.0816299,
        0.0806803,
        0.079234,
        0.0796017,
        0.0800965,
        0.0799289,
        0.0794492,
        0.0782538,
        0.0786928,
        0.0788291,
        0.0780068,
        0.078283,
        0.0787022,
        0.0795469,
        0.0792004,
        0.0786806,
        0.0786572,
        0.0785281,
        0.0781923,
        0.0789284,
        0.0798718,
        0.0804756,
        0.0802134,
        0.0798394,
        0.0793126,
        0.0799575,
        0.0800036,
        0.0803995,
        0.0798829,
        0.0813747,
        0.0823386,
        0.0838947,
        0.0845477,
        0.0843886,
        0.0826565,
        0.0815492,
        0.0821428,
        0.0831283,
        0.0840681,
        0.0854117,
        0.0863194,
        0.0867478,
        0.0869116,
        0.0881982,
        null,
        0.0839925,
        0.0863145,
        0.0882498,
        0.0893517,
        0.0890977,
        0.0879157,
        0.0863425,
        0.0852911,
        0.0848292,
        0.0856696,
        0.0880162,
        0.0913185,
        0.0954811,
        0.100826,
        0.105648,
        0.109936,
        0.111007,
        0.109113,
        0.102915,
        0.0957127,
        0.0905925,
        0.0867907,
        0.0833296,
        0.0812143,
        0.0800802,
        0.0791945,
        0.0781336,
        0.0777897,
        0.0769552,
        0.076248,
        0.0756035,
        0.074891,
        0.0749463,
        0.075446,
        0.0749855,
        0.0746756,
        0.0743129,
        0.074581,
        0.0746077,
        0.0747044,
        0.0817575,
        0.0827081,
        0.0753212,
        0.0748295,
        0.074461,
        0.0744639,
        0.0747664,
        0.0745424,
        0.0747008,
        0.074181,
        0.075068,
        0.0760775,
        0.0759724,
        0.0757033,
        0.0771016,
        0.0778532,
        0.0766927,
        0.0774974,
        0.0781485,
        0.0781896,
        0.0782334,
        0.0823478,
        0.0827889,
        0.0790439,
        0.0793045,
        0.0799761,
        0.0797628,
        0.0797572,
        0.0825161,
        0.0829901,
        0.0806692,
        0.0811977,
        0.0821382,
        0.0820105,
        0.0816427,
        0.0819943,
        0.0818234,
        0.081061,
        0.0808481,
        0.0801481,
        0.0840577,
        0.0851018,
        0.0813153,
        0.0813082,
        0.0815291,
        0.0823621,
        0.0821979,
        0.0819107,
        0.0823358,
        0.0825197,
        0.0826275,
        0.0825261,
        0.0821065,
        0.0819484,
        0.0821597,
        0.0833237,
        0.0839989,
        0.0846628,
        0.0850774,
        0.0854788,
        0.0851543,
        0.0856818,
        0.0865616,
        0.0870962,
        0.0886846,
        0.0899625,
        0.0910083,
        0.0922186,
        0.0950767,
        0.0974777,
        0.0988132,
        0.100823,
        0.104297,
        0.109688,
        0.114304,
        0.119733,
        0.12833,
        0.137693,
        0.14978,
        0.163923,
        0.176952,
        0.187928,
        0.192318,
        0.190867,
        0.18643,
        0.176784,
        0.164933,
        0.15351,
        0.142799,
        0.131569,
        0.124003,
        0.118098,
        0.115717,
        0.113784,
        0.111649,
        0.108606,
        0.107223,
        0.105442,
        0.103412,
        0.10349,
        0.104572,
        0.104064,
        0.103406,
        0.102927,
        0.102608,
        0.102119,
        0.101952,
        0.10304,
        0.104312,
        0.105219,
        0.105137,
        0.104914,
        0.105634,
        0.105938,
        0.106211,
        0.106662,
        0.107886,
        0.108465,
        0.110329,
        0.112103,
        0.112681,
        0.11276,
        0.113752,
        0.115202,
        0.116918,
        0.119663,
        0.123372,
        0.125892,
        0.130008,
        0.127087,
        0.127724,
        0.131543,
        0.133757,
        0.137127,
        0.140318,
        0.14417,
        0.149453,
        0.155205,
        0.157702,
        0.160373,
        0.164332,
        0.172415,
        0.178346,
        0.184123,
        0.187107,
        0.189834,
        0.194946,
        0.201783,
        0.234619,
        0.246315,
        0.25355,
        null,
        0.289933,
        0.216161,
        0.208068,
        0.201317,
        0.195008,
        0.178942,
        0.175744,
        0.17281,
        0.168481,
        0.157,
        0.156131,
        0.15113,
        0.149604,
        0.148334,
        0.158975,
        0.139868,
        0.136968,
        0.133971,
        0.13075,
        0.128006,
        0.125929,
        0.123204,
        0.122915,
        0.120635,
        0.118982,
        0.115942,
        0.114762,
        0.115605,
        0.114286,
        0.113317,
        0.112029,
        0.109838,
        0.108761,
        0.108421,
        0.106139,
        0.103696,
        0.102436,
        0.101309,
        0.109876,
        0.107604,
        0.099254,
        0.0991845,
        0.0954355,
        0.0968819,
        0.0971191,
        0.0953458,
        0.093012,
        0.0911432,
        0.0907008,
        0.0901666,
        0.090114,
        0.0908591,
        0.100967,
        0.100274,
        0.0884104,
        0.0880438,
        0.086257,
        0.0845752,
        0.0840238,
        0.083491,
        0.0828548,
        0.0841233,
        0.0835849,
        0.0839064,
        0.0821711,
        0.0817533,
        0.0823726,
        0.0825515,
        0.0815985,
        0.0811045,
        0.0819969,
        0.0818415,
        0.0818752,
        0.0822953,
        0.0816757,
        0.0813984,
        0.0814164,
        0.0819298,
        0.0815697,
        0.0808327,
        0.0803635,
        0.080232,
        0.080479,
        0.0803716,
        0.0802852,
        0.0803653,
        0.0807105,
        0.0802475,
        0.0805136,
        0.0805993,
        0.0802838,
        0.0799805,
        0.0796211,
        0.0798244,
        0.0790129,
        0.0782009,
        0.0773258,
        0.0782124,
        0.0781484,
        0.0770452,
        0.0762149,
        0.0762275,
        0.0761636,
        0.0752402,
        0.080823,
        0.0803206,
        0.0740805,
        0.0745982,
        0.0748531,
        0.0742715,
        0.0734307,
        0.0741392,
        0.0738229,
        0.0725376,
        0.0720985,
        0.072612,
        0.0724398,
        0.0729157,
        0.0726665,
        0.0726557,
        0.0728613,
        0.072151,
        0.0720603,
        0.0723551,
        0.0723403,
        0.0720839,
        0.071914,
        0.0712476,
        0.0715333,
        0.0713581,
        0.0724138,
        0.0725235,
        0.0723735,
        0.0722671,
        0.0724528,
        0.0728683,
        0.0726089,
        0.0723002,
        0.0721813,
        0.0727589,
        0.0726439,
        0.0721336,
        0.0719327,
        0.0722948,
        0.0726876,
        0.0730887,
        0.0728042,
        0.0724856,
        0.0731949,
        0.0739884,
        0.0743327,
        0.0729924,
        0.0734254,
        0.0732485,
        0.072974,
        0.072615,
        0.0719994,
        0.0716585,
        0.0717617,
        0.0726385,
        0.0721838,
        0.0717296,
        0.0716496,
        0.0715619,
        0.0710164,
        0.0704488,
        0.0699534,
        0.069643,
        0.0695938,
        0.0695995,
        0.0698142,
        0.0695517,
        0.0692882,
        0.0697142,
        0.0694712,
        0.0691891,
        0.0686804,
        0.0694175,
        0.0683672,
        0.0689235,
        0.0690726,
        0.0684981,
        0.0696515,
        0.0706541,
        0.0680493,
        0.0693867,
        0.069813,
        0.0696574,
        0.0695052,
        0.0751907,
        0.0733571,
        0.0724209,
        0.0732012,
        0.0734271,
        0.0733798,
        0.0737572,
        0.0727029,
        0.0726535,
        0.0719499,
        0.0718873,
        0.0718303,
        0.071278,
        0.0709824,
        0.0712913,
        0.0712845,
        0.0716501,
        0.0715333,
        0.0715625,
        0.0711411,
        0.0709459,
        0.0710561,
        0.0712461,
        0.071309,
        0.0707354,
        0.0700927,
        0.0697407,
        0.0698766,
        0.0701252,
        0.0705664,
        0.0708871,
        0.0709783,
        0.0717151,
        0.072703,
        0.073179,
        0.0730202,
        0.0741032,
        0.0748879,
        0.0753328,
        0.0753029,
        0.0754167,
        0.0744414,
        0.0741484,
        0.0726169,
        0.0717402,
        0.0704231,
        0.0719972,
        0.0715069,
        0.0692682,
        0.0688067,
        0.069195,
        0.0686993,
        0.0682045,
        0.0684756,
        0.0680542,
        0.0680587,
        0.0679173,
        0.0679496,
        0.0684301,
        0.0684654,
        0.0687099,
        0.0682613,
        0.0686596,
        0.0689237,
        0.0692351,
        0.0684501,
        0.0686974,
        0.0692721,
        0.0694945,
        0.0688195,
        0.0700528,
        0.0714334,
        0.0701863,
        0.0704014,
        0.0705743,
        0.0702107,
        0.0707652,
        0.0702882,
        0.0703023,
        0.0701286,
        0.0703069,
        0.0710777,
        0.0718838,
        0.0722002,
        0.0722555,
        0.0729111,
        0.0727101,
        0.0726586,
        0.0728982,
        0.0739481,
        0.0738918,
        0.074136,
        0.0741465,
        0.0730352,
        0.0730929,
        0.0736434,
        0.0736363,
        0.0738832,
        0.074139,
        0.0745712,
        0.0744696,
        0.0790305,
        0.076055,
        0.0746301,
        0.075921,
        0.0758416,
        0.0750344,
        0.074331,
        0.0740524,
        0.0739097,
        0.0741512,
        0.0732455,
        0.0734045,
        0.0734503,
        0.0727559,
        0.0728049,
        0.0723289,
        0.0716812,
        0.0721932,
        0.0724378,
        0.0724691,
        0.0720752,
        0.0715875,
        0.0722657,
        0.0725922,
        0.073733,
        0.0742258,
        0.0736957,
        0.0734426,
        0.0739983,
        0.0741985,
        0.0742541,
        0.0741382,
        0.074593,
        0.0752993,
        0.0750743,
        0.0746414,
        0.074337,
        0.0749795,
        0.0755766,
        0.0763796,
        0.0765049,
        0.0774287,
        0.0781046,
        0.0784319,
        0.0781318,
        0.0782866,
        0.0787074,
        0.0801529,
        0.0810741,
        0.0811702,
        0.0819152,
        0.082431,
        0.0830956,
        0.0820927,
        0.0806752,
        0.0807007,
        0.0803207,
        0.0794711,
        0.0798375,
        0.0789219,
        0.0783777,
        0.084757,
        0.0829865,
        0.0762494,
        0.0764969,
        0.0767176,
        0.0773045,
        0.077404,
        0.0764948,
        0.0762971,
        0.0768734,
        0.0774237,
        0.0769712,
        0.0768521,
        0.0761035,
        0.0763285,
        0.0815253,
        0.081764,
        0.0774207,
        0.0776657,
        0.078185,
        0.0778219,
        0.0780175,
        0.0786621,
        0.0882835,
        0.0884425,
        0.0805853,
        0.0801574,
        0.0802983,
        0.081906,
        0.0864767,
        0.0888128,
        0.0826762,
        0.0817858,
        0.0823026,
        0.0813249,
        0.0874233,
        0.0838256,
        0.081154,
        0.0816676,
        0.0820841,
        0.0819266,
        0.080518,
        0.0809681,
        0.0819832,
        0.082657,
        0.0828698,
        0.0822497,
        0.0823357,
        0.0823802,
        0.0826608,
        0.0831747,
        0.0839436,
        0.0839144,
        0.0836916,
        0.0839644,
        0.0832718,
        0.090131,
        0.0911679,
        0.0837899,
        0.0835817,
        0.0923943,
        0.0923211,
        0.0843945,
        0.0851597,
        0.0853022,
        0.0838075,
        0.0842951,
        0.0845564,
        0.0847967,
        0.0855403,
        0.0858542,
        0.0854505,
        0.0863134,
        0.0861002,
        0.087211,
        0.0880165,
        0.0876861,
        0.0876889,
        0.0872388,
        0.0865679,
        0.0865208,
        0.0859306,
        0.0863481,
        0.0862945,
        0.0870236,
        0.0877069,
        0.0875382,
        0.0874744,
        0.0882799,
        0.0882785,
        0.0881524,
        0.0888777,
        0.0908321,
        0.0913956,
        0.0902442,
        0.0910808,
        0.0913104,
        0.0919644,
        0.0921357,
        0.0926819,
        0.0922496,
        0.0929242,
        0.0935194,
        0.0941455,
        0.0957604,
        0.0957774,
        0.095588,
        0.0954508,
        0.0950039,
        0.0973016,
        0.0993471,
        0.0992862,
        0.11015,
        0.104667,
        0.0980352,
        0.0987807,
        0.099751,
        0.100696,
        0.10045,
        0.101833,
        0.102132,
        0.10201,
        0.101729,
        0.102105,
        0.102714,
        0.101678,
        0.101896,
        0.101716,
        0.101514,
        0.102059,
        0.102802,
        0.101921,
        0.102805,
        0.103012,
        0.102641,
        0.103859,
        0.105144,
        0.104233,
        0.103734,
        0.104815,
        0.104744,
        0.105483,
        0.107919,
        0.108514,
        0.10906,
        0.1088,
        0.110819,
        0.110494,
        0.110032,
        0.110279,
        0.111727,
        0.113703,
        0.117585,
        0.116069,
        0.113445,
        0.115367,
        0.117866,
        0.119874,
        0.120027,
        0.120301,
        0.121406,
        0.12143,
        0.12247,
        0.126883,
        0.127039,
        0.123909,
        0.126194,
        0.127989,
        0.129261,
        0.130411,
        0.131357,
        0.131663,
        0.139042,
        0.13749,
        0.130505,
        0.131903,
        0.136938,
        0.140397,
        0.157516,
        0.157062,
        0.140244,
        0.139533,
        0.141813,
        0.146754,
        0.149939,
        0.151076,
        0.150402,
        0.149979,
        0.152257,
        0.153013,
        0.155192,
        0.154351,
        0.156274,
        0.161362,
        0.162215,
        0.161944,
        0.163978,
        0.165774,
        0.170685,
        0.173344,
        0.180594,
        0.181179,
        0.178147,
        0.181434,
        0.181767,
        0.185635,
        0.189373,
        0.192501,
        0.196407,
        0.197918,
        0.202278,
        0.207589,
        0.213855,
        0.221635,
        0.234926,
        0.248023,
        null,
        0.310907,
        0.310647,
        0.288933,
        0.279337,
        0.254538,
        0.253288,
        0.25567,
        0.259895,
        0.254299,
        0.244507,
        0.231171,
        0.235545,
        0.221231,
        0.214597,
        0.216484,
        0.211663,
        0.204321,
        0.204208,
        0.198877,
        0.202514,
        0.200376,
        0.195143,
        0.189665,
        0.188081,
        0.187857,
        0.185883,
        0.185218,
        0.186404,
        0.18918,
        0.188773,
        0.18507,
        0.184224,
        0.182696,
        0.179211,
        0.177712,
        0.176557,
        0.175381,
        0.175784,
        0.178578,
        0.180499,
        0.177909,
        0.175774,
        0.172936,
        0.172175,
        0.172963,
        0.172745,
        0.172652,
        0.173506,
        0.171949,
        0.168465,
        0.169699,
        0.171443,
        0.166162,
        0.172682,
        0.173522,
        0.169137,
        0.163703,
        0.162305,
        0.15919,
        0.161643,
        0.16371,
        0.166,
        0.158582,
        0.158669,
        0.159113,
        0.157446,
        0.155196,
        0.157732,
        0.15844,
        0.160121,
        0.162257,
        0.165775,
        0.188843,
        0.202356,
        0.173116,
        0.173744,
        0.176484,
        0.173344,
        0.175613,
        0.178675,
        0.181666,
        0.17333,
        0.168307,
        0.164544,
        0.16817,
        0.165556,
        0.168124,
        0.172782,
        0.170892,
        0.157601,
        0.161616,
        0.16211,
        0.162359,
        0.161037,
        0.158205,
        0.160358,
        0.160194,
        0.164379,
        0.167633,
        0.16129,
        0.158977,
        0.160186,
        0.16241,
        0.162819,
        0.163574,
        0.164122,
        0.163038,
        0.163117,
        0.1635,
        0.161806,
        0.158304,
        0.159041,
        0.163907,
        0.162728,
        0.162832,
        0.165818,
        0.166878,
        0.165525,
        0.164575,
        0.164917,
        0.16848,
        0.167635,
        0.169875,
        0.168743,
        0.169299,
        0.168721,
        0.170737,
        0.171473,
        0.172882,
        0.170038,
        0.17058,
        0.175716,
        0.178555,
        0.179022,
        0.185707,
        0.182175,
        0.18023,
        0.180253,
        0.186775,
        0.18559,
        0.199878,
        0.196149,
        0.185314,
        0.188764,
        0.193495,
        0.195243,
        0.199534,
        0.205379,
        0.208946,
        0.206476,
        0.207464,
        0.21636,
        0.217817,
        0.214033,
        0.214901,
        0.219439,
        0.225852,
        0.22701,
        0.230137,
        0.239194,
        0.242407,
        0.239671,
        0.240356,
        0.250918,
        0.253817,
        0.274371,
        0.272723,
        0.270333,
        0.273391,
        0.282733,
        null,
        0.385521,
        0.314852,
        0.31958,
        0.303729,
        0.296175,
        0.28528,
        0.2698,
        0.267389,
        0.265377,
        0.258023,
        0.250894,
        0.251858,
        0.265022,
        0.268353,
        0.290272,
        0.290407,
        0.22755,
        0.222977,
        0.216632,
        0.241506,
        0.226467,
        0.194647,
        0.194042,
        0.191702,
        0.185774,
        0.179538,
        0.17648,
        0.165659,
        0.163556,
        0.155609,
        0.154199,
        0.154752,
        0.152658,
        0.15369,
        0.154329,
        0.147859,
        0.152195,
        0.153115,
        0.143371,
        0.141721,
        0.151627,
        0.150491,
        0.137567,
        0.13655,
        0.133274,
        0.13217,
        0.133299,
        0.139071,
        0.138943,
        0.131742,
        0.131236,
        0.133888,
        0.136583,
        0.135144,
        0.132274,
        0.13207,
        0.133575,
        0.14298,
        0.141667,
        0.126063,
        0.125968,
        0.125986,
        0.123879,
        0.123251,
        0.121445,
        0.121386,
        0.119498,
        0.117953,
        0.116746,
        0.11716,
        0.116546,
        0.116422,
        0.115877,
        0.116378,
        0.127902,
        0.129117,
        0.127642,
        0.12643,
        0.117812,
        0.116948,
        0.118574,
        0.122535,
        0.12458,
        0.126918,
        0.129485,
        0.129675,
        0.129842,
        0.127632,
        0.127432,
        0.126747,
        0.119732,
        0.11641,
        0.120703,
        0.118208,
        0.116542,
        0.115154,
        0.115418,
        0.115001,
        0.115033,
        0.116853,
        0.117298,
        0.114997,
        0.115509,
        0.115743,
        0.118415,
        0.117687,
        0.117014,
        0.118359,
        0.118251,
        0.120085,
        0.11866,
        0.116437,
        0.117231,
        0.116018,
        0.114624,
        0.115802,
        0.113756,
        0.113422,
        0.118952,
        0.1237,
        0.115555,
        0.108,
        0.106654,
        0.107056,
        0.106666,
        0.106461,
        0.106269,
        0.105206,
        0.10433,
        0.103981,
        0.104147,
        0.102767,
        0.103125,
        0.104398,
        0.105107,
        0.101865,
        0.101413,
        0.101435,
        0.100678,
        0.101088,
        0.103588,
        0.10294,
        0.103402,
        0.103647,
        0.103161,
        0.103283,
        0.103304,
        0.101853,
        0.102256,
        0.105446,
        0.108016,
        0.104796,
        0.103831,
        0.105202,
        0.106009,
        0.107771,
        0.106683,
        0.106392,
        0.109338,
        0.111258,
        0.112333,
        0.11399,
        0.117031,
        0.119771,
        0.125782,
        0.136129,
        0.146382,
        0.159516,
        0.213877,
        0.212794,
        0.18147,
        0.161707,
        0.145777,
        0.13533,
        0.128855,
        0.123524,
        0.119867,
        0.116342,
        0.114837,
        0.112132,
        0.109492,
        0.115388,
        0.110676,
        0.108057,
        0.107785,
        0.105321,
        0.103044,
        0.102708,
        0.10431,
        0.104207,
        0.10396,
        0.103271,
        0.101055,
        0.0997082,
        0.0993913,
        0.0994917,
        0.100705,
        0.100923,
        0.100052,
        0.0994278,
        0.0994862,
        0.0989425,
        0.0986789,
        0.100764,
        0.100553,
        0.0991171,
        0.0983124,
        0.0974986,
        0.0974123,
        0.0981653,
        0.098951,
        0.0990072,
        0.107963,
        0.108289,
        0.0989505,
        0.098754,
        0.0989002,
        0.0984792,
        0.0981277,
        0.0972028,
        0.0977282,
        0.097962,
        0.0991903,
        0.100024,
        0.100794,
        0.1019,
        0.100181,
        0.0989175,
        0.100076,
        0.101386,
        0.107286,
        0.104267,
        0.100631,
        0.100172,
        0.101086,
        0.103441,
        0.102448,
        0.102134,
        0.101937,
        0.101777,
        0.101729,
        0.102049,
        0.101201,
        0.101842,
        0.102597,
        0.102318,
        0.100914,
        0.103982,
        0.104148,
        0.102222,
        0.102704,
        0.101875,
        0.101631,
        0.100509,
        0.100972,
        0.100641,
        0.10137,
        0.101102,
        0.101956,
        0.10257,
        0.100702,
        0.0999827,
        0.100393,
        0.100132,
        0.101097,
        0.100538,
        0.102565,
        0.102524,
        0.0993256,
        0.0980745,
        0.098584,
        0.0994916,
        0.0984354,
        0.0981749,
        0.0987741,
        0.0993562,
        0.100191,
        0.105022,
        0.106899,
        0.0993538,
        0.0979632,
        0.0980404,
        0.0986956,
        0.0996743,
        0.0999339,
        0.0998609,
        0.0989385,
        0.0996515,
        0.0986358,
        0.0991242,
        0.100552,
        0.101206,
        0.101339,
        0.101018,
        0.100818,
        0.101352,
        0.101646,
        0.100991,
        0.101548,
        0.101913,
        0.101625,
        0.101439,
        0.102231,
        0.103941,
        0.104204,
        0.103598,
        0.102938,
        0.103351,
        0.103753,
        0.103973,
        0.104555,
        0.104567,
        0.105362,
        0.105922,
        0.104391,
        0.104843,
        0.106535,
        0.107559,
        0.109809,
        0.109081,
        0.107113,
        0.105453,
        0.10696,
        0.106399,
        0.106739,
        0.109956,
        0.110325,
        0.109651,
        0.109885,
        0.108451,
        0.108942,
        0.109403,
        0.109188,
        0.109972,
        0.108705,
        0.109695,
        0.111726,
        0.111092,
        0.110155,
        0.128379,
        0.124423,
        0.113834,
        0.115144,
        0.115837,
        0.116517,
        0.118747,
        0.12069,
        0.125226,
        0.129718,
        0.13274,
        0.136512,
        0.142008,
        0.150343,
        0.156022,
        0.17519,
        0.183165,
        0.198846,
        0.203187,
        0.204442,
        0.208968,
        0.211281,
        0.214577,
        0.214499,
        0.2092,
        0.209024,
        null,
        0.0799227,
        0.0798759,
        0.0804852,
        0.080666,
        0.0810244,
        0.0814961,
        0.0826685,
        0.0837886,
        0.0837751,
        0.0832272,
        0.0827758,
        0.0821641,
        0.081419,
        0.080808,
        0.080047,
        0.0789793,
        0.0784567,
        0.0779624,
        0.0773003,
        0.0776099,
        0.0776775,
        0.0774709,
        0.077211,
        0.0767793,
        0.0776426,
        0.0813451,
        0.0817503,
        0.0781692,
        0.0789956,
        0.0805204,
        0.083048,
        0.0847807,
        0.0870057,
        0.0916472,
        0.120201,
        0.13148,
        0.11721,
        0.126365,
        0.134762,
        0.141717,
        0.132265,
        0.121042,
        0.11056,
        0.101926,
        0.0951826,
        0.0927801,
        0.0884851,
        0.0856097,
        0.0836735,
        0.0828181,
        0.0821916,
        0.0810276,
        0.0801617,
        0.0800176,
        0.0799713,
        0.0789908,
        0.0789453,
        0.0795594,
        0.0795032,
        0.0793265,
        0.0787118,
        0.0784902,
        0.0788003,
        0.0790323,
        0.078971,
        0.0791321,
        0.0790672,
        0.0795755,
        0.0802249,
        0.0802855,
        0.0806747,
        0.0809267,
        0.0816462,
        0.081862,
        0.0820105,
        0.0819477,
        0.0811015,
        0.0809178,
        0.0799833,
        0.0812408,
        0.081984,
        0.0813782,
        0.0820323,
        0.0818484,
        0.0824798,
        0.0836145,
        0.0847876,
        0.0866285,
        0.0920394,
        0.0937979,
        0.106167,
        0.111195,
        0.101648,
        0.121963,
        0.130635,
        0.125517,
        0.139688,
        0.16136,
        0.194864,
        0.245679,
        0.197611,
        0.166155,
        0.1433,
        0.126667,
        0.115546,
        0.117147,
        0.0974167,
        0.094616,
        0.0904163,
        0.0881395,
        0.086918,
        0.0849672,
        0.083611,
        0.0828326,
        0.0812045,
        0.079141,
        0.0782811,
        0.078068,
        0.0775705,
        0.0774203,
        0.0757097,
        0.0740413,
        0.0739368,
        0.0741447,
        0.0736556,
        0.0732295,
        0.0729889,
        0.0726106,
        0.0720795,
        0.0716033,
        0.0717677,
        0.0709662,
        0.0706433,
        0.070524,
        0.0702704,
        0.0697651,
        0.0700223,
        0.074547,
        0.0763814,
        0.0699438,
        0.0698433,
        0.0696843,
        0.0694464,
        0.0693248,
        0.0696953,
        0.069463,
        0.0691684,
        0.0691166,
        0.0694986,
        0.0698689,
        0.0707614,
        0.0707993,
        0.0704657,
        0.0701606,
        0.0700227,
        0.07019,
        0.0704174,
        0.070832,
        0.0709019,
        0.0712263,
        0.0717746,
        0.0711946,
        0.071329,
        0.0708419,
        0.0710024,
        0.0713777,
        0.0713763,
        0.0718356,
        0.0721799,
        0.0726069,
        0.0724508,
        0.0719429,
        0.0720708,
        0.0710955,
        0.0707049,
        0.071051,
        0.0712838,
        0.07101,
        0.0705114,
        0.0697855,
        0.0718325,
        0.0714823,
        0.0689619,
        0.0693505,
        0.0697862,
        0.0695722,
        0.0688653,
        0.0683451,
        0.068264,
        0.0686243,
        0.0691733,
        0.0687137,
        0.068618,
        0.0682436,
        0.0679734,
        0.0671075,
        0.0674213,
        0.067587,
        0.0720454,
        0.0713652,
        0.0669703,
        0.0674164,
        0.0680795,
        0.0680042,
        0.0681319,
        0.0676465,
        0.0675711,
        0.0675223,
        0.0679257,
        0.0680391,
        0.0684636,
        0.0686596,
        0.0685571,
        0.0681423,
        0.0683716,
        0.0689116,
        0.0689081,
        0.074544,
        0.0754958,
        0.074007,
        0.0884028,
        0.0834071,
        0.0691184,
        0.0687846,
        0.0692801,
        0.0688969,
        0.0690014,
        0.0692896,
        0.0696059,
        0.0696119,
        0.0695135,
        0.0695627,
        0.0693176,
        0.0693022,
        0.069008,
        0.0768525,
        0.0769429,
        0.0691413,
        0.0684543,
        0.0683342,
        0.0679158,
        0.0675302,
        0.0673715,
        0.0671088,
        0.0673079,
        0.0672947,
        0.0678667,
        0.0672727,
        0.0667715,
        0.0668593,
        0.0672216,
        0.0666944,
        0.0663949,
        0.0657998,
        0.0659868,
        0.0662381,
        0.0658355,
        0.06565,
        0.0657894,
        0.0663439,
        0.0663216,
        0.0660397,
        0.0658252,
        0.0659288,
        0.0660033,
        0.0659979,
        0.0660388,
        0.0667077,
        0.0665308,
        0.0662573,
        0.0665419,
        0.0672059,
        0.0672874,
        0.0671989,
        0.0670593,
        0.0673833,
        0.0684676,
        0.0691162,
        0.0694402,
        0.0703831,
        0.0711465,
        0.0719314,
        0.0729248,
        0.0738381,
        0.0738674,
        0.0727342,
        0.081002,
        0.0803533,
        0.0713953,
        0.0717641,
        0.0718065,
        0.0703015,
        0.0697152,
        0.0691601,
        0.0686052,
        0.0687911,
        0.0688235,
        0.0686532,
        0.0682946,
        0.0676905,
        0.0676341,
        0.0671868,
        0.067332,
        0.0673076,
        0.0673828,
        0.0669791,
        0.0665664,
        0.0660571,
        0.066588,
        0.0667302,
        0.0654771,
        0.0646884,
        0.0645304,
        0.0651849,
        0.0650712,
        0.0650541,
        0.0656039,
        0.0649769,
        0.0647207,
        0.0648194,
        0.0647431,
        0.0647152,
        0.064976,
        0.064936,
        0.0645873,
        0.0699969,
        0.0706144,
        0.0644461,
        0.0646875,
        0.0649081,
        0.0656003,
        0.0651696,
        0.0647993,
        0.0651749,
        0.0653341,
        0.0648074,
        0.065019,
        0.0652886,
        0.065972,
        0.0658617,
        0.0656406,
        0.0660544,
        0.0660245,
        0.0658615,
        0.0663148,
        0.0668539,
        0.0670205,
        0.0675036,
        0.0681712,
        0.0673034,
        0.0668816,
        0.0667071,
        0.0672139,
        0.0669682,
        0.0672014,
        0.0675999,
        0.0678522,
        0.0679007,
        0.0682402,
        0.0680911,
        0.0677918,
        0.0681349,
        0.068674,
        0.06835,
        0.0673409,
        0.0669552,
        0.0669224,
        0.0667245,
        0.0666793,
        0.0667906,
        0.0665603,
        0.0657244,
        0.0651435,
        0.0653244,
        0.0650661,
        0.0646366,
        0.0658971,
        0.0653075,
        0.0655633,
        0.0645451,
        0.0636063,
        0.0637169,
        0.063956,
        0.0639095,
        0.0640118,
        0.064149,
        0.0664814,
        0.0673949,
        0.0641326,
        0.0641395,
        0.064142,
        0.0641752,
        0.0642356,
        0.0644775,
        0.0640836,
        0.0640259,
        0.0647975,
        0.0652363,
        0.0654322,
        0.0659988,
        0.0665873,
        0.0663158,
        0.0663566,
        0.0661283,
        0.0666154,
        0.0674068,
        0.0683697,
        0.0681976,
        0.0670726,
        0.067645,
        0.0681006,
        0.0675818,
        0.0669402,
        0.0668666,
        0.0672475,
        0.0673312,
        0.0673087,
        0.0672559,
        0.0690294,
        0.069393,
        0.0676429,
        0.067399,
        0.0672957,
        0.0675663,
        0.0676954,
        0.0687813,
        0.0688979,
        0.0680182,
        0.0676163,
        0.0673963,
        0.0670986,
        0.0673245,
        0.0671141,
        0.0677844,
        0.068673,
        0.068792,
        0.0693328,
        0.0704023,
        0.0714882,
        0.0722731,
        0.0728137,
        0.0732137,
        0.074127,
        0.0762005,
        0.0772448,
        0.0795421,
        0.0835502,
        0.0873179,
        0.0913998,
        0.0981394,
        0.106168,
        0.115153,
        0.128416,
        0.139444,
        0.143342,
        0.142575,
        0.135883,
        0.131139,
        0.121115,
        0.108596,
        0.100912,
        0.0952204,
        0.0949485,
        0.0867982,
        0.0832409,
        0.0857829,
        0.0926331,
        0.0848553,
        0.075365,
        0.0744446,
        0.0739117,
        0.0732991,
        0.0729764,
        0.0723877,
        0.0720815,
        0.071216,
        0.0710458,
        0.0712401,
        0.0714419,
        0.0711768,
        0.0709218,
        0.0708802,
        0.0711867,
        0.0762703,
        0.0744218,
        0.0686768,
        0.0683961,
        0.0677641,
        0.0678729,
        0.0677979,
        0.0671683,
        0.0669404,
        0.0670801,
        0.0668878,
        0.0664486,
        0.0665772,
        0.0666989,
        0.0663406,
        0.065959,
        0.0659397,
        0.066482,
        0.0696887,
        0.0684592,
        0.0656745,
        0.0657062,
        0.0653688,
        0.0657028,
        0.0659663,
        0.0659271,
        0.065684,
        0.066272,
        0.0662657,
        0.0655211,
        0.0653653,
        0.0657377,
        0.065829,
        0.0660541,
        0.0662588,
        0.0669473,
        0.0677313,
        0.0680971,
        0.0677932,
        0.0676342,
        0.0749504,
        0.0750136,
        0.0679957,
        0.068308,
        0.0685168,
        0.0693017,
        0.0693781,
        0.0695746,
        0.0702341,
        0.0700433,
        0.0702077,
        0.0756649,
        0.0751525,
        0.0726275,
        0.0789719,
        0.0793128,
        0.0734503,
        0.0737551,
        0.0733011,
        0.0735582,
        0.0737869,
        0.0747209,
        0.07498,
        0.0772026,
        0.0784102,
        0.0747268,
        0.0783398,
        0.0784556,
        0.0769384,
        0.0784563,
        0.0803538,
        0.0807388,
        0.0796788,
        0.0797752,
        0.0798806,
        0.0798989,
        0.0796916,
        0.079395,
        0.0804518,
        0.0809899,
        0.0799794,
        0.0797947,
        0.0798999,
        0.0805437,
        0.0815226,
        0.0832403,
        0.0837777,
        0.0838008,
        0.0847877,
        0.086049,
        0.0865713,
        0.0878001,
        0.0882298,
        0.0899654,
        0.0903204,
        0.092255,
        0.093466,
        0.0955467,
        0.0971178,
        0.103201,
        0.105644,
        0.103346,
        0.106352,
        0.108861,
        0.112641,
        0.117386,
        0.11713,
        0.121764,
        0.127191,
        0.132574,
        0.136953,
        0.142794,
        0.153693,
        0.185246,
        0.201345,
        0.215866,
        0.233783,
        0.209272,
        0.194157,
        0.163695,
        0.156891,
        0.15187,
        0.146635,
        0.138887,
        0.134611,
        0.129421,
        0.136448,
        0.13114,
        0.136585,
        0.134254,
        0.114248,
        0.111591,
        0.10882,
        0.105663,
        0.103977,
        0.102022,
        0.101797,
        0.117233,
        0.115719,
        0.0980772,
        0.0965698,
        0.0950117,
        0.0947162,
        0.0935303,
        0.0915323,
        0.0891598,
        0.0883219,
        0.0877113,
        0.0872078,
        0.0852529,
        0.0851698,
        0.0837341,
        0.0828471,
        0.0829416,
        0.0817029,
        0.0805872,
        0.0795793,
        0.0790795,
        0.078052,
        0.077322,
        0.0764758,
        0.0801357,
        0.0800958,
        0.0754134,
        0.0739277,
        0.0739372,
        0.0739809,
        0.0741011,
        0.0734977,
        0.0730342,
        0.0743508,
        0.0745905,
        0.0728311,
        0.073876,
        0.0763498,
        0.0754843,
        0.0720392,
        0.0722628,
        0.0725013,
        0.073222,
        0.0733017,
        0.0737073,
        0.0747137,
        0.0754967,
        0.0750297,
        0.0742964,
        0.0744546,
        0.0736918,
        0.0736329,
        0.0744543,
        0.0747314,
        0.0762764,
        0.0796061,
        0.0834887,
        0.0870073,
        0.0879422,
        0.088465,
        0.083903,
        0.0791023,
        0.0758325,
        0.0732231,
        0.071566,
        0.0704753,
        0.0692138,
        0.0692098,
        0.0698208,
        0.0697842,
        0.069159,
        0.0694586,
        0.0698282,
        0.0692102,
        0.0689151,
        0.0686895,
        0.0689886,
        0.068804,
        0.0695253,
        0.0695964,
        0.0699187,
        0.0702106,
        0.0694769,
        0.0695708,
        0.0696402,
        0.0692306,
        0.0682875,
        0.0672305,
        0.06682,
        0.0666042,
        0.0663559,
        0.0653365,
        0.0659211,
        0.0656331,
        0.065399,
        0.0654453,
        0.0650195,
        0.0647953,
        0.0645592,
        0.0644258,
        0.064756,
        0.064965,
        0.0643744,
        0.0640014,
        0.0645209,
        0.0642686,
        0.0644253,
        0.064577,
        0.0651896,
        0.0657378,
        0.0665541,
        0.0646882,
        0.0649601,
        0.0643383,
        0.0652137,
        0.0655912,
        0.0655769,
        0.0658381,
        0.065473,
        0.0655225,
        0.0653968,
        0.0659932,
        0.0660726,
        0.0654637,
        0.0657256,
        0.0661328,
        0.068851,
        0.0688993,
        0.0667572,
        0.0664621,
        0.0662948,
        0.06657,
        0.0667226,
        0.0672044,
        0.0665422,
        0.0720046,
        0.0694456,
        0.0649694,
        0.0655909,
        0.0670271,
        0.0671917,
        0.0678753,
        0.0673038,
        0.0672689,
        0.0680653,
        0.0687263,
        0.0691163,
        0.0695048,
        0.0705051,
        0.0695885,
        0.067702,
        0.0660369,
        0.0655921,
        0.0653754,
        0.0649055,
        0.0642544,
        0.0636978,
        0.0634518,
        0.0634256,
        0.0636971,
        0.0632563,
        0.063634,
        0.0696825,
        0.0696703,
        0.0647963,
        0.0648414,
        0.0632873,
        0.0635934,
        0.0635792,
        0.063157,
        0.0672693,
        0.0652383,
        0.0638091,
        0.0632348,
        0.0637485,
        0.0642771,
        0.065667,
        0.0659691,
        0.065439,
        0.0651514,
        0.0657744,
        0.0660043,
        0.066543,
        0.0656778,
        0.0657922,
        0.0663673,
        0.0670731,
        0.0662149,
        0.0663794,
        0.0664836,
        0.0667431,
        0.0666007,
        0.0662758,
        0.0668249,
        0.0669368,
        0.0669164,
        0.067484,
        0.0669499,
        0.0670246,
        0.0671794,
        0.0667406,
        0.0667292,
        0.066277,
        0.0666712,
        0.0666646,
        0.0666431,
        0.0665861,
        0.0662958,
        0.0658286,
        0.0651845,
        0.0652099,
        0.0646091,
        0.0646659,
        0.0649705,
        0.0644543,
        0.0641182,
        0.0639969,
        0.0638837,
        0.0636318,
        0.0636395,
        0.0639005,
        0.0642914,
        0.0646418,
        0.064137,
        0.0647441,
        0.0639798,
        0.0640843,
        0.0644904,
        0.0636101,
        0.063655,
        0.0640795,
        0.0640087,
        0.0644053,
        0.0640024,
        0.0636423,
        0.0636182,
        0.0638014,
        0.0637117,
        0.0641128,
        0.064463,
        0.06432,
        0.0658511,
        0.0659734,
        0.0642332,
        0.0649327,
        0.0647032,
        0.0647101,
        0.0654856,
        0.0666329,
        0.0660117,
        0.065375,
        0.0660646,
        0.0665026,
        0.0659156,
        0.0661969,
        0.0660646,
        0.0668069,
        0.0669778,
        0.0665752,
        0.0668215,
        0.066429,
        0.0666628,
        0.0664933,
        0.066433,
        0.0670842,
        0.0676319,
        0.0666459,
        0.0660177,
        0.0656756,
        0.0652702,
        0.0656544,
        0.0659871,
        0.0667253,
        0.0675382,
        0.0664517,
        0.0662376,
        0.0672166,
        0.0669774,
        0.0660518,
        0.0659882,
        0.066767,
        0.06734,
        0.0676527,
        0.0705787,
        0.0692869,
        0.0686732,
        0.0688544,
        0.0673998,
        0.0663513,
        0.0670721,
        0.0667011,
        0.0657583,
        0.064828,
        0.0652001,
        0.0657593,
        0.065352,
        0.0649665,
        0.0649626,
        0.0654915,
        0.064685,
        0.0649862,
        0.0653226,
        0.0649989,
        0.0651535,
        0.0650962,
        0.0659016,
        0.0714296,
        0.0707921,
        0.0658244,
        0.0657079,
        0.0657122,
        0.0668363,
        0.0666388,
        0.0662627,
        0.0671832,
        0.0681546,
        0.0668339,
        0.066128,
        0.0671344,
        0.0717378,
        0.0718206,
        0.0673035,
        0.0672192,
        0.0671531,
        0.0673512,
        0.0680315,
        0.0674852,
        0.0674014,
        0.0683345,
        0.0685365,
        0.0687739,
        0.0720042,
        0.0712976,
        0.0678043,
        0.0672904,
        0.0675523,
        0.0675592,
        0.0670724,
        0.0674068,
        0.0673738,
        0.0676783,
        0.0680192,
        0.0675321,
        0.0678629,
        0.0682979,
        0.0682473,
        0.0686247,
        0.0689262,
        0.0679058,
        0.0684505,
        0.0678281,
        0.0676935,
        0.0673072,
        0.0706112,
        0.070242,
        0.0656982,
        0.0657303,
        0.0658473,
        0.0656148,
        0.0658031,
        0.0670706,
        0.0668916,
        0.0654869,
        0.0652668,
        0.0655297,
        0.0663071,
        0.0668678,
        0.0664554,
        0.0665612,
        0.0664889,
        0.0667299,
        0.0671396,
        0.0673982,
        0.0777761,
        0.0773316,
        0.0668091,
        0.080572,
        0.0882655,
        0.072854,
        0.0678806,
        0.0682392,
        0.0687419,
        0.0766392,
        0.074597,
        0.0812483,
        0.0814611,
        0.0703227,
        0.0705002,
        0.0713343,
        0.0711619,
        0.0723692,
        0.0721894,
        0.0724262,
        0.0724316,
        0.0722174,
        0.0725008,
        0.0718552,
        0.0711017,
        0.0708467,
        0.0702434,
        0.0707619,
        0.0709454,
        0.0697156,
        0.0695101,
        0.0691668,
        0.0696247,
        0.0699138,
        0.0701169,
        0.0693776,
        0.0690795,
        0.069218,
        0.0689762,
        0.0687898,
        0.0704158,
        0.0694309,
        0.0681643,
        0.0682046,
        0.0680652,
        0.0673521,
        0.0673828,
        0.067627,
        0.0758418,
        0.0769288,
        0.0690358,
        0.0695736,
        0.06867,
        0.0681407,
        0.0677247,
        0.0674621,
        0.066892,
        0.0672023,
        0.0675346,
        0.0672055,
        0.0673788,
        0.068106,
        0.0683595,
        0.0681968,
        0.0681383,
        0.0682848,
        0.0682254,
        0.0683848,
        0.0688556,
        0.0684814,
        0.0686551,
        0.0687205,
        0.0697922,
        0.0703064,
        0.0706176,
        0.0710879,
        0.0710791,
        0.0714381,
        0.0715997,
        0.0716844,
        0.0719765,
        0.071914,
        0.0714895,
        0.0714135,
        0.0713974,
        0.0716091,
        0.0723835,
        0.0727013,
        0.0736643,
        0.0734352,
        0.0730913,
        0.0727997,
        0.0731843,
        0.0728826,
        0.0718715,
        0.0719999,
        0.0721222,
        0.0721087,
        0.0717676,
        0.0742365,
        0.0738987,
        0.0725691,
        0.0730866,
        0.0724808,
        0.0723341,
        0.0727247,
        0.0722561,
        0.0720742,
        0.0728595,
        0.0734128,
        0.07406,
        0.0745101,
        0.0746018,
        0.0763087,
        0.0784561,
        0.0785223,
        0.0784959,
        0.0780894,
        0.0812988,
        0.0800137,
        0.0742827,
        0.0750251,
        0.074009,
        0.0743823,
        0.0737189,
        0.0731696,
        0.0720025,
        0.0718843,
        0.0720981,
        0.0731363,
        0.0740373,
        0.0738242,
        0.0741534,
        0.0735889,
        0.0734627,
        0.0734932,
        0.0741262,
        0.0746294,
        0.0750122,
        0.0749469,
        0.0744462,
        0.0738916,
        0.0745075,
        0.0748578,
        0.0750672,
        0.0758546,
        0.0774953,
        0.0773346,
        0.0770353,
        0.0767242,
        0.0766978,
        0.076166,
        0.076546,
        0.0772431,
        0.0769195,
        0.0771559,
        0.0773918,
        0.0816634,
        0.0800045,
        0.0780542,
        0.077745,
        0.077692,
        0.0774341,
        0.0780911,
        0.077815,
        0.0788501,
        0.0798322,
        0.0816689,
        0.0811093,
        0.0775898,
        0.0765079,
        0.0759425,
        0.0766126,
        0.0773987,
        0.0775999,
        0.0844677,
        0.079786,
        0.0760364,
        0.0759751,
        0.0755427,
        0.0749756,
        0.0764425,
        0.077315,
        0.077242,
        0.078587,
        0.0790143,
        0.0767666,
        0.0767449,
        0.0772201,
        0.0767451,
        0.0767656,
        0.0780936,
        0.0782508,
        0.0775824,
        0.078109,
        0.0783433,
        0.0774197,
        0.0769998,
        0.0774858,
        0.0857325,
        0.0860747,
        0.0782895,
        0.0784691,
        0.0786948,
        0.0837079,
        0.0836983,
        0.0807481,
        0.0823598,
        0.0839737,
        0.0827761,
        0.0812425,
        0.0812691,
        0.0808159,
        0.0804048,
        0.0809218,
        0.0819638,
        0.0826142,
        0.0831892,
        0.0826374,
        0.0822723,
        0.0825493,
        0.0816856,
        0.0815882,
        0.082148,
        0.0822964,
        0.0826331,
        0.0831442,
        0.0837619,
        0.0837163,
        0.0833042,
        0.0836124,
        0.084428,
        0.0831868,
        0.0855804,
        0.0841933,
        0.0821214,
        0.0819426,
        0.0817638,
        0.082212,
        0.0828208,
        0.0822418,
        0.0816504,
        0.0824145,
        0.0827064,
        0.0833439,
        0.0826465,
        0.0812153,
        0.0814873,
        0.0820901,
        0.0824161,
        0.0818713,
        0.0884937,
        0.0881906,
        0.0830848,
        0.0839155,
        0.0840698,
        0.0831547,
        0.082816,
        0.0833669,
        0.0844825,
        0.0838612,
        0.0830067,
        0.083242,
        0.0847571,
        0.0851895,
        0.0847784,
        0.0845544,
        0.0852133,
        0.0850937,
        0.0868553,
        0.0872707,
        0.0878177,
        0.0873039,
        0.0876764,
        0.0868372,
        0.0864474,
        0.0865562,
        0.0888682,
        0.0909409,
        0.0900849,
        0.0884577,
        0.0883201,
        0.0882257,
        0.0890742,
        0.0908198,
        0.091439,
        0.0925433,
        0.0924399,
        0.0931155,
        0.0947871,
        0.092317,
        0.0928073,
        0.0931186,
        0.0933208,
        0.0921894,
        0.0924155,
        0.0910662,
        0.0913394,
        0.0923344,
        0.0989853,
        0.0966114,
        0.0944976,
        0.09628,
        0.0968715,
        0.0965852,
        0.0964856,
        0.0974609,
        0.0986545,
        0.100144,
        0.101669,
        0.104349,
        0.109324,
        0.114582,
        0.120841,
        0.131804,
        0.13972,
        0.131992,
        0.126276,
        0.123151,
        0.121966,
        0.123077,
        0.120994,
        0.115497,
        0.113254,
        0.110581,
        0.106413,
        0.104128,
        0.102979,
        0.102259,
        0.101662,
        0.101664,
        0.0989553,
        0.106339,
        0.101258,
        0.0973363,
        0.098763,
        0.099204,
        0.0991496,
        0.0997348,
        0.100126,
        0.09996,
        0.100038,
        0.1005,
        0.101436,
        0.101509,
        0.102657,
        0.102672,
        0.103087,
        0.102364,
        0.102686,
        0.103637,
        0.10317,
        0.103192,
        0.10443,
        0.105325,
        0.106346,
        0.10699,
        0.105273,
        0.107868,
        0.106809,
        0.10713,
        0.108236,
        0.107057,
        0.107864,
        0.109211,
        0.110234,
        0.110216,
        0.111919,
        0.112974,
        0.115698,
        0.116278,
        0.117268,
        0.120206,
        0.121904,
        0.121985,
        0.122358,
        0.123182,
        0.122837,
        0.122655,
        0.122778,
        0.122041,
        0.12251,
        0.121585,
        0.119213,
        0.117822,
        0.123616,
        0.118998,
        0.120422,
        0.120893,
        0.114235,
        0.114317,
        0.113586,
        0.114354,
        0.113949,
        0.112142,
        0.112995,
        0.114543,
        0.115676,
        0.114336,
        0.11505,
        0.118412,
        0.118624,
        0.117677,
        0.118057,
        0.119103,
        0.121601,
        0.125169,
        0.127335,
        0.126162,
        0.125519,
        0.125346,
        0.124286,
        0.124861,
        0.126524,
        0.126447,
        0.127292,
        0.128218,
        0.128733,
        0.129123,
        0.128919,
        0.128854,
        0.13061,
        0.134283,
        0.135141,
        0.138024,
        0.139962,
        0.139845,
        0.141498,
        0.141358,
        0.145685,
        0.149069,
        0.163633,
        0.169399,
        0.144146,
        0.143593,
        0.145552,
        0.145447,
        0.14686,
        0.151014,
        0.155068,
        0.153054,
        0.155038,
        0.159473,
        0.163277,
        0.163764,
        0.160983,
        0.16083,
        0.163129,
        0.163351,
        0.165054,
        0.163965,
        0.158412,
        0.153073,
        0.148715,
        0.147248,
        0.145532,
        0.145567,
        0.14595,
        0.146088,
        0.147561,
        0.151265,
        0.148717,
        0.146373,
        0.149884,
        0.151254,
        0.150184,
        0.149801,
        0.151782,
        0.15271,
        0.153127,
        0.154229,
        0.153348,
        0.154778,
        0.15581,
        0.155843,
        0.155637,
        0.156312,
        0.158723,
        0.162813,
        0.181283,
        0.165625,
        0.168738,
        0.169685,
        0.173248,
        0.174196,
        0.178763,
        0.179474,
        0.178049,
        0.180747,
        0.180354,
        0.203158,
        0.188428,
        0.191091,
        0.19116,
        0.191408,
        0.197041,
        0.194544,
        0.219741,
        0.197251,
        0.201877,
        0.20513,
        0.207491,
        0.221231,
        0.212055,
        0.207988,
        0.21554,
        0.216354,
        0.244928,
        0.249363,
        0.248247,
        0.29264,
        0.308365,
        null,
        0.122527,
        0.123626,
        0.124636,
        0.123266,
        0.122941,
        0.123796,
        0.124845,
        0.124262,
        0.123357,
        0.123747,
        0.124944,
        0.135939,
        0.135535,
        0.126424,
        0.127051,
        0.127404,
        0.128453,
        0.128605,
        0.12836,
        0.130934,
        0.132087,
        0.132803,
        0.133926,
        0.134337,
        0.134923,
        0.136193,
        0.137649,
        0.140026,
        0.143714,
        0.146772,
        0.149695,
        0.153056,
        0.161952,
        0.172466,
        0.190428,
        0.196596,
        0.180618,
        0.180175,
        0.180179,
        0.179198,
        0.182187,
        0.185421,
        0.195083,
        0.207337,
        0.197197,
        0.191908,
        0.191169,
        0.188151,
        0.183991,
        0.188556,
        0.214656,
        0.189619,
        0.188506,
        0.188039,
        0.190576,
        0.200508,
        0.202991,
        0.216944,
        0.219219,
        null,
        0.341011,
        0.302188,
        0.26632,
        0.254751,
        0.243551,
        0.238034,
        0.198713,
        0.192534,
        0.186727,
        0.183505,
        0.182169,
        0.179909,
        0.174159,
        0.171464,
        0.172227,
        0.169178,
        0.164536,
        0.163389,
        0.161603,
        0.159682,
        0.157482,
        0.153666,
        0.152388,
        0.152055,
        0.150819,
        0.151317,
        0.15318,
        0.162348,
        0.167952,
        0.169026,
        0.169328,
        0.173307,
        0.183607,
        0.164966,
        0.150913,
        0.146364,
        0.141292,
        0.137949,
        0.1367,
        0.136118,
        0.134224,
        0.132575,
        0.13086,
        0.128904,
        0.128564,
        0.127017,
        0.125822,
        0.124196,
        0.124277,
        0.123279,
        0.120436,
        0.117982,
        0.117256,
        0.115876,
        0.115606,
        0.115955,
        0.117808,
        0.115978,
        0.113426,
        0.112445,
        0.11227,
        0.111307,
        0.11058,
        0.110736,
        0.111026,
        0.110218,
        0.110095,
        0.108743,
        0.108159,
        0.108285,
        0.108583,
        0.107944,
        0.107463,
        0.107431,
        0.107311,
        0.108124,
        0.108228,
        0.107675,
        0.107545,
        0.105851,
        0.105385,
        0.106414,
        0.105224,
        0.104662,
        0.10607,
        0.106714,
        0.105688,
        0.107103,
        0.107878,
        0.109,
        0.108496,
        0.10693,
        0.107601,
        0.108173,
        0.10805,
        0.10891,
        0.10959,
        0.129625,
        0.13115,
        0.111426,
        0.111103,
        0.113022,
        0.114203,
        0.115514,
        0.115385,
        0.116959,
        0.119998,
        0.122517,
        0.12566,
        0.129313,
        0.135085,
        0.138679,
        0.142233,
        0.150671,
        0.158681,
        0.169793,
        0.185549,
        0.198914,
        0.21072,
        0.188641,
        0.178769,
        0.161125,
        0.147945,
        0.138654,
        0.130919,
        0.127011,
        0.123844,
        0.120615,
        0.11472,
        0.112538,
        0.108927,
        0.106623,
        0.105014,
        0.10441,
        0.103572,
        0.10307,
        0.101932,
        0.100761,
        0.100775,
        0.0999172,
        0.098509,
        0.0990633,
        0.0990123,
        0.0980206,
        0.0984215,
        0.0985422,
        0.0978086,
        0.0982917,
        0.0979638,
        0.0965991,
        0.0959996,
        0.0958041,
        0.0961945,
        0.0965564,
        0.0963089,
        0.0973293,
        0.0973036,
        0.0971165,
        0.0983367,
        0.100622,
        0.09955,
        0.0967519,
        0.0966705,
        0.0964165,
        0.0958409,
        0.0953408,
        0.0949545,
        0.0949683,
        0.0942482,
        0.0948074,
        0.0952925,
        0.0941353,
        0.0933792,
        0.0943964,
        0.0936043,
        0.0923062,
        0.0930836,
        0.0925043,
        0.091814,
        0.091432,
        0.0915553,
        0.0905964,
        0.0906481,
        0.0904856,
        0.0906209,
        0.0901103,
        0.0900617,
        0.0899675,
        0.0899521,
        0.0901804,
        0.0902386,
        0.0894663,
        0.0896609,
        0.0893806,
        0.0994337,
        0.0999655,
        0.0903365,
        0.0898824,
        0.0895374,
        0.0896558,
        0.0905375,
        0.0900562,
        0.0904096,
        0.0912189,
        0.0920067,
        0.0931213,
        0.0940038,
        0.0938506,
        0.0932266,
        0.095143,
        0.0969298,
        0.0993228,
        0.10267,
        0.106432,
        0.11037,
        0.114371,
        0.116583,
        0.115862,
        0.112554,
        0.107465,
        0.103819,
        0.102049,
        0.100131,
        0.0988804,
        0.0981736,
        0.0974826,
        0.0972707,
        0.0952505,
        0.0936633,
        0.0931225,
        0.0935678,
        0.0932339,
        0.0925089,
        0.0927019,
        0.0918697,
        0.0920122,
        0.0919304,
        0.0918704,
        0.0918449,
        0.0912585,
        0.0923617,
        0.0909727,
        0.0897154,
        0.0892488,
        0.0890572,
        0.0889091,
        0.0894736,
        0.098897,
        0.0993872,
        0.0903283,
        0.0900971,
        0.0890602,
        0.0894069,
        0.0898776,
        0.0897759,
        0.0902368,
        0.0893049,
        0.0894141,
        0.0899706,
        0.0908607,
        0.0907904,
        0.0904103,
        0.0896767,
        0.0897401,
        0.0906775,
        0.0910716,
        0.091299,
        0.0906557,
        0.0915368,
        0.0925745,
        0.0922547,
        0.091976,
        0.0925501,
        0.093794,
        0.0933498,
        0.0933885,
        0.0930956,
        0.0936321,
        0.0939996,
        0.0951187,
        0.096175,
        0.0977656,
        0.0972642,
        0.0972159,
        0.09657,
        0.107216,
        0.107643,
        0.0985459,
        0.0988358,
        0.0987755,
        0.0989435,
        0.10283,
        0.103241,
        0.0990509,
        0.0988032,
        0.0988205,
        0.100094,
        0.100521,
        0.0986295,
        0.0987349,
        0.099515,
        0.100548,
        0.101204,
        0.100346,
        0.0987065,
        0.0991446,
        0.100035,
        0.0996248,
        0.100128,
        0.100006,
        0.0995644,
        0.0992724,
        0.100903,
        0.103154,
        0.103578,
        0.102548,
        0.103696,
        0.107005,
        0.108142,
        0.110332,
        0.112736,
        0.112859,
        0.115125,
        0.115772,
        0.120873,
        0.125338,
        0.126783,
        0.135711,
        0.142759,
        0.142468,
        0.15144,
        0.157103,
        0.166961,
        0.17755,
        0.188764,
        0.207133,
        0.233869,
        0.299132,
        0.413788,
        0.42211,
        0.283899,
        0.196847,
        0.189412,
        0.162763,
        0.154168,
        0.148752,
        0.144829,
        0.140846,
        0.134999,
        0.130388,
        0.127699,
        0.124577,
        0.123666,
        0.120369,
        0.119214,
        0.117455,
        0.1163,
        0.115126,
        0.114104,
        0.113292,
        0.113293,
        0.111492,
        0.110619,
        0.10988,
        0.110367,
        0.110791,
        0.112303,
        0.109167,
        0.110022,
        0.111276,
        0.110911,
        0.111102,
        0.111388,
        0.112227,
        0.112574,
        0.113789,
        0.116605,
        0.118106,
        0.121121,
        0.122805,
        0.126984,
        0.130996,
        0.135141,
        0.140107,
        0.150117,
        0.160211,
        0.165637,
        0.168063,
        0.168696,
        0.170189,
        0.169656,
        0.169065,
        0.174171,
        0.183861,
        0.220242,
        0.245298,
        0.357368,
        0.41706,
        0.22719,
        0.175587,
        0.164629,
        0.158088,
        0.151221,
        0.143218,
        0.137769,
        0.135126,
        0.13595,
        0.134229,
        0.131289,
        0.130871,
        0.132605,
        0.133399,
        0.131924,
        0.134376,
        0.134613,
        0.134085,
        0.133703,
        0.13815,
        0.137232,
        0.134791,
        0.13337,
        0.132609,
        0.133521,
        0.134231,
        0.132664,
        0.130241,
        0.131388,
        0.133432,
        0.13559,
        0.13666,
        0.137005,
        0.14072,
        0.146491,
        0.154741,
        0.166538,
        0.186264,
        0.186369,
        0.208238,
        0.208653,
        0.188425,
        0.174481,
        0.181445,
        0.188172,
        0.192242,
        0.192616,
        0.198024,
        0.19975,
        0.19442,
        0.201371,
        0.201929,
        0.209515,
        0.226414,
        0.281749,
        0.299571,
        0.251859,
        0.236555,
        0.230431,
        0.226333,
        0.214333,
        0.203981,
        0.201417,
        0.198007,
        0.193333,
        0.205436,
        0.215996,
        0.200226,
        0.1993,
        0.197591,
        0.208824,
        0.237721,
        0.274996,
        0.284562,
        0.261968,
        0.243499,
        0.23803,
        0.241751,
        0.243631,
        0.254426,
        0.340717,
        0.390126,
        0.387188,
        null,
        0.27516,
        0.255068,
        0.251789,
        0.242189,
        0.238755,
        0.235603,
        0.220397,
        0.203337,
        0.193834,
        0.188707,
        0.185374,
        0.181635,
        0.176994,
        0.174368,
        0.17195,
        0.169551,
        0.164163,
        0.160695,
        0.156433,
        0.1542,
        0.15394,
        0.151185,
        0.159644,
        0.154575,
        0.189849,
        0.187485,
        0.145868,
        0.141935,
        0.140398,
        0.13875,
        0.138275,
        0.13542,
        0.136469,
        0.136345,
        0.134375,
        0.132132,
        0.141098,
        0.1405,
        0.131726,
        0.130586,
        0.129586,
        0.127766,
        0.127851,
        0.127857,
        0.127282,
        0.127276,
        0.128641,
        0.128466,
        0.126207,
        0.123897,
        0.124436,
        0.125954,
        0.125917,
        0.125562,
        0.127959,
        0.129613,
        0.128308,
        0.128174,
        0.129874,
        0.134253,
        0.138477,
        0.139407,
        0.138694,
        0.13503,
        0.129816,
        0.125657,
        0.122485,
        0.120908,
        0.119767,
        0.119148,
        0.116956,
        0.114928,
        0.114621,
        0.114269,
        0.117108,
        0.127172,
        0.116675,
        0.108833,
        0.109092,
        0.108112,
        0.107431,
        0.108797,
        0.10927,
        0.10809,
        0.105927,
        0.105021,
        0.104625,
        0.104495,
        0.104258,
        0.103093,
        0.102726,
        0.102807,
        0.102142,
        0.101881,
        0.101508,
        0.101899,
        0.101107,
        0.101432,
        0.101939,
        0.101281,
        0.104795,
        0.102691,
        0.100784,
        0.100022,
        0.100513,
        0.10129,
        0.10141,
        0.100235,
        0.0999329,
        0.0997184,
        0.101231,
        0.100548,
        0.100201,
        0.100123,
        0.100338,
        0.100421,
        0.101013,
        0.100777,
        0.101205,
        0.10188,
        0.101669,
        0.0997411,
        0.0997813,
        0.100161,
        0.0996186,
        0.102017,
        0.101807,
        0.101937,
        0.101482,
        0.101306,
        0.10033,
        0.0995618,
        0.100492,
        0.101284,
        0.101302,
        0.0989932,
        0.0983689,
        0.0992773,
        0.0993688,
        0.103864,
        0.102561,
        0.0976812,
        0.0963699,
        0.0964872,
        0.0977717,
        0.0976739,
        0.0966493,
        0.0962055,
        0.0969426,
        0.096084,
        0.0956811,
        0.0944741,
        0.0934564,
        0.0924956,
        0.0934279,
        0.0933084,
        0.0931543,
        0.0934875,
        0.0934619,
        0.0932104,
        0.0936578,
        0.0937846,
        0.0932771,
        0.0930624,
        0.0927699,
        0.0920836,
        0.0949951,
        0.095627,
        0.0922075,
        0.0909112,
        0.0910534,
        0.0915082,
        0.0917937,
        0.0917353,
        0.0922478,
        0.0923444,
        0.0928235,
        0.0926122,
        0.0928655,
        0.0937692,
        0.0940354,
        0.0938376,
        0.0941142,
        0.0938391,
        0.0936322,
        0.0941471,
        0.0955907,
        0.0960327,
        0.0956968,
        0.0953245,
        0.0940576,
        0.0941827,
        0.0956104,
        0.0958261,
        0.0952585,
        0.0953227,
        0.0967129,
        0.100192,
        0.0999369,
        0.0962713,
        0.0939833,
        0.0960886,
        0.101122,
        0.100342,
        0.0978935,
        0.096561,
        0.096095,
        0.0944966,
        0.0947008,
        0.0966084,
        0.106362,
        0.0994368,
        0.0941384,
        0.094741,
        0.0946664,
        0.0941401,
        0.0940639,
        0.0940689,
        0.0935584,
        0.0928637,
        0.0930716,
        0.0931426,
        0.093352,
        0.0924002,
        0.0977657,
        0.0989442,
        0.093818,
        0.0943054,
        0.0941544,
        0.0944099,
        0.093424,
        0.0932017,
        0.0934947,
        0.0934258,
        0.0927836,
        0.094051,
        0.0945613,
        0.0943488,
        0.0938811,
        0.107546,
        0.108883,
        0.0964101,
        0.0954582,
        0.0952209,
        0.0948712,
        0.0957352,
        0.097116,
        0.09747,
        0.0977214,
        0.0973075,
        0.0986607,
        0.0985071,
        0.0991814,
        0.0993078,
        0.0998874,
        0.10085,
        0.107128,
        0.103058,
        0.101597,
        0.103778,
        0.106349,
        0.110124,
        0.113343,
        0.113619,
        0.113717,
        0.113633,
        0.112022,
        0.109567,
        0.107575,
        0.105743,
        0.105053,
        0.109051,
        0.109491,
        0.105595,
        0.105685,
        0.105787,
        0.106858,
        0.10491,
        0.104703,
        0.107574,
        0.107083,
        0.102885,
        0.101341,
        0.101304,
        0.102033,
        0.100948,
        0.100205,
        0.106757,
        0.106813,
        0.0988972,
        0.0987454,
        0.100228,
        0.100402,
        0.098855,
        0.0973383,
        0.0978718,
        0.098601,
        0.0981812,
        0.0980299,
        0.0977545,
        0.0999474,
        0.101408,
        0.102372,
        0.0989212,
        0.10231,
        0.101874,
        0.0995861,
        0.0989185,
        0.0984543,
        0.0987945,
        0.0995718,
        0.0996967,
        0.0994869,
        0.0984144,
        0.108896,
        0.103347,
        0.0989662,
        0.100814,
        0.101548,
        0.100178,
        0.100967,
        0.112738,
        0.110443,
        0.101908,
        0.101147,
        0.101495,
        0.101574,
        0.102091,
        0.103092,
        0.104638,
        0.117474,
        0.118016,
        0.103894,
        0.10353,
        0.105614,
        0.106251,
        0.104911,
        0.104564,
        0.103955,
        0.103273,
        0.104373,
        0.104885,
        0.10516,
        0.104822,
        0.104189,
        0.10317,
        0.103278,
        0.10309,
        0.103371,
        0.103303,
        0.103616,
        0.104135,
        0.103384,
        0.10383,
        0.104313,
        0.103347,
        0.104173,
        0.105381,
        0.106663,
        0.105286,
        0.103605,
        0.103504,
        0.104212,
        0.104625,
        0.103635,
        0.10423,
        0.105394,
        0.106374,
        0.107958,
        0.108042,
        0.110493,
        0.108427,
        0.109437,
        0.110822,
        0.132928,
        0.132905,
        0.115506,
        0.115835,
        0.116537,
        0.117913,
        0.118207,
        0.118196,
        0.119114,
        0.121389,
        0.124278,
        0.126845,
        0.127166,
        0.132605,
        0.134147,
        0.133538,
        0.136483,
        0.138056,
        0.140603,
        0.146171,
        0.152976,
        0.158353,
        0.161814,
        0.167866,
        0.17889,
        0.188994,
        0.197826,
        0.226844,
        0.29474,
        0.260374,
        0.234954,
        0.212049,
        0.194635,
        0.183491,
        0.173425,
        0.166274,
        0.160325,
        0.155882,
        0.152759,
        0.148414,
        0.144214,
        0.140779,
        0.139219,
        0.149019,
        0.145065,
        0.130079,
        0.129768,
        0.12809,
        0.127176,
        0.126751,
        0.125583,
        0.128669,
        0.127265,
        0.139972,
        0.125295,
        0.126419,
        0.123492,
        0.121645,
        0.121426,
        0.133604,
        0.132058,
        0.124151,
        0.125802,
        0.124204,
        0.122042,
        0.12155,
        0.123616,
        0.123568,
        0.122961,
        0.126072,
        0.12724,
        0.142128,
        0.145997,
        0.147562,
        0.133288,
        0.130925,
        0.133129,
        0.148431,
        0.144036,
        0.122999,
        0.123101,
        0.122047,
        0.123047,
        0.123124,
        0.124497,
        0.123483,
        0.12023,
        0.118509,
        0.118256,
        0.118311,
        0.119726,
        0.122433,
        0.121764,
        0.120252,
        0.120196,
        0.121409,
        0.119223,
        0.137103,
        0.139345,
        0.123297,
        0.122105,
        0.12304,
        0.129856,
        0.129864,
        0.122782,
        0.122523,
        0.128717,
        0.131973,
        0.127501,
        0.128318,
        0.12825,
        0.123383,
        0.141945,
        0.141987,
        0.126313,
        0.130233,
        0.12952,
        0.128223,
        0.131748,
        0.135967,
        0.134069,
        0.13266,
        0.132767,
        0.132082,
        0.133858,
        0.134747,
        0.136376,
        0.137465,
        0.136594,
        0.140676,
        0.147524,
        0.151839,
        0.156951,
        0.168771,
        0.17837,
        0.180332,
        0.182992,
        0.183635,
        0.179855,
        0.174984,
        0.173821,
        0.177918,
        0.182219,
        0.199961,
        0.210382,
        0.220081,
        0.251274,
        0.259195,
        0.251727,
        0.232545,
        0.217916,
        0.188024,
        0.17795,
        0.167784,
        0.161713,
        0.158727,
        0.15502,
        0.151747,
        0.149936,
        0.151199,
        0.149814,
        0.142795,
        0.140787,
        0.138056,
        0.138767,
        0.13705,
        0.133626,
        0.133968,
        0.135649,
        0.136971,
        0.136415,
        0.135307,
        0.13714,
        0.141229,
        0.133847,
        0.135351,
        0.137495,
        0.136341,
        0.137313,
        0.138894,
        0.139286,
        0.139488,
        0.142083,
        0.143385,
        0.140354,
        0.137824,
        0.137469,
        0.138878,
        0.139941,
        0.139588,
        0.140805,
        0.142038,
        0.141997,
        0.140761,
        0.142175,
        0.152578,
        0.156242,
        0.149885,
        0.151242,
        0.145167,
        0.145692,
        0.145487,
        0.145995,
        0.147344,
        0.149094,
        0.15093,
        0.151533,
        0.166406,
        0.173552,
        0.156613,
        0.156096,
        0.154825,
        0.155178,
        0.156419,
        0.157914,
        0.160353,
        0.162217,
        0.184443,
        0.186719,
        0.17032,
        0.171474,
        0.177006,
        0.184175,
        0.188808,
        0.192964,
        0.225215,
        0.23596,
        0.243734,
        0.247211,
        0.25115,
        0.256053,
        0.263706,
        0.269911,
        0.277131,
        0.317501,
        0.391273,
        0.305137,
        0.278335,
        0.264059,
        0.248098,
        0.24007,
        0.216776,
        0.210979,
        0.208218,
        0.203081,
        0.19797,
        0.195737,
        0.192702,
        0.185399,
        0.180818,
        0.17761,
        0.176955,
        0.173849,
        0.17265,
        0.173385,
        0.169427,
        0.167687,
        0.167713,
        0.169992,
        0.168582,
        0.166539,
        0.162063,
        0.159306,
        0.159792,
        0.1593,
        0.15728,
        0.155719,
        0.154891,
        0.154116,
        0.15334,
        0.153451,
        0.150251,
        0.151722,
        0.152043,
        0.152254,
        0.15134,
        0.151657,
        0.154143,
        0.156548,
        0.156152,
        0.152951,
        0.149543,
        0.150067,
        0.150372,
        0.152704,
        0.155173,
        0.156241,
        0.154658,
        0.155629,
        0.1563,
        0.155131,
        0.153318,
        0.154354,
        0.156059,
        0.155594,
        0.156494,
        0.156454,
        0.156151,
        0.157501,
        0.160254,
        0.158226,
        0.157506,
        0.157492,
        0.157005,
        0.154957,
        0.153817,
        0.157452,
        0.160823,
        0.161619,
        0.16318,
        0.165118,
        0.162079,
        0.162315,
        0.160777,
        0.15868,
        0.159538,
        0.160531,
        0.160823,
        0.160169,
        0.162605,
        0.161259,
        0.159271,
        0.160364,
        0.160568,
        0.159919,
        0.159867,
        0.16028,
        0.160865,
        0.162598,
        0.164966,
        0.161486,
        0.161254,
        0.156905,
        0.158412,
        0.158819,
        0.160307,
        0.161919,
        0.161505,
        0.160426,
        0.160967,
        0.16138,
        0.160639,
        0.163023,
        0.165069,
        0.16768,
        0.165268,
        0.162291,
        0.163691,
        0.165578,
        0.165444,
        0.168198,
        0.170259,
        0.171165,
        0.170613,
        0.169773,
        0.172388,
        0.173423,
        0.174601,
        0.176492,
        0.177968,
        0.178887,
        0.182561,
        0.186298,
        0.179865,
        0.178118,
        0.176837,
        0.177611,
        0.182385,
        0.183534,
        0.183153,
        0.185192,
        0.184212,
        0.185687,
        0.198637,
        0.197559,
        0.185226,
        0.185228,
        0.188918,
        0.197309,
        0.197951,
        0.196537,
        0.208117,
        0.188593,
        0.193172,
        0.192973,
        0.191473,
        0.192293,
        0.194359,
        0.197729,
        0.200859,
        0.199936,
        0.199002,
        0.201659,
        0.199339,
        0.204563,
        0.203716,
        0.207404,
        0.20375,
        0.200338,
        0.201872,
        0.200237,
        0.202638,
        0.205787,
        0.20223,
        0.202378,
        0.205849,
        0.209583,
        0.212641,
        0.208432,
        0.209237,
        0.218857,
        0.227208,
        0.219531,
        0.22149,
        0.221639,
        0.240688,
        0.243748,
        0.233289,
        0.232022,
        0.243539,
        0.246488,
        0.250811,
        0.266435,
        0.267218,
        0.266579,
        0.286915,
        0.285618,
        0.279258,
        0.290905,
        0.288619,
        0.2913,
        0.30926,
        0.32247,
        null,
        0.313931,
        0.292438,
        0.284131,
        0.271639,
        0.269497,
        0.269197,
        0.259046,
        0.260151,
        0.262326,
        0.251362,
        0.256739,
        0.250312,
        0.246049,
        0.244011,
        0.244912,
        0.247885,
        0.245708,
        0.240954,
        0.238392,
        0.238462,
        0.234984,
        0.225804,
        0.223288,
        0.226839,
        0.223825,
        0.220656,
        0.213026,
        0.212453,
        0.20779,
        0.209464,
        0.211031,
        0.211137,
        0.211205,
        0.209055,
        0.207982,
        0.208319,
        0.208437,
        0.211493,
        0.212075,
        0.209066,
        0.204783,
        0.197513,
        0.206518,
        0.21142,
        0.209666,
        0.208106,
        0.207829,
        0.210318,
        0.211978,
        0.225304,
        0.222704,
        0.228885,
        0.230341,
        0.219387,
        0.207168,
        0.205311,
        0.204711,
        0.200302,
        0.200275,
        0.201236,
        0.202952,
        0.196706,
        0.195339,
        0.198481,
        0.201112,
        0.201977,
        0.201946,
        0.196422,
        0.195894,
        0.19784,
        0.198243,
        0.201839,
        0.204731,
        0.205608,
        0.207593,
        0.209665,
        0.215194,
        0.216737,
        0.217736,
        0.221669,
        0.24487,
        0.254578,
        0.744494,
        0.350301,
        0.313636,
        0.263397,
        0.237825,
        0.236849,
        0.219098,
        0.207612,
        0.205195,
        0.201093,
        0.199523,
        0.196824,
        0.194855,
        0.194472,
        0.192203,
        0.187378,
        0.180082,
        0.179744,
        0.177338,
        0.174576,
        0.173566,
        0.173653,
        0.17318,
        0.174256,
        0.177803,
        0.181699,
        0.181684,
        0.183075,
        0.18797,
        0.187119,
        0.187838,
        0.20913,
        0.212399,
        0.21938,
        0.244733,
        0.249781,
        0.249848,
        0.242824,
        0.23075,
        0.220383,
        0.206528,
        0.191714,
        0.182203,
        0.17728,
        0.17416,
        0.172078,
        0.168349,
        0.164703,
        0.161207,
        0.158648,
        0.156252,
        0.15778,
        0.156205,
        0.152132,
        0.153203,
        0.154353,
        0.154439,
        0.15402,
        0.156131,
        0.153651,
        0.151121,
        0.152311,
        0.152303,
        0.150858,
        0.150233,
        0.152624,
        0.155652,
        0.156156,
        0.155469,
        0.156766,
        0.153089,
        0.150881,
        0.151393,
        0.151169,
        0.151091,
        0.153912,
        0.152788,
        0.147921,
        0.146168,
        0.143818,
        0.143166,
        0.145316,
        0.145375,
        0.144273,
        0.144457,
        0.143313,
        0.139775,
        0.140811,
        0.14235,
        0.143625,
        0.144329,
        0.145226,
        0.143987,
        0.142132,
        0.152108,
        0.150696,
        0.141923,
        0.140339,
        0.141715,
        0.142867,
        0.145169,
        0.144204,
        0.143747,
        0.145128,
        0.144427,
        0.145514,
        0.148701,
        0.149446,
        0.149316,
        0.150357,
        0.151895,
        0.152226,
        0.154683,
        0.16132,
        0.165441,
        0.171101,
        0.181164,
        0.195921,
        0.401622,
        0.247686,
        0.212735,
        0.19317,
        0.183209,
        0.173247,
        0.166493,
        0.162789,
        0.15975,
        0.155422,
        0.151419,
        0.151436,
        0.152608,
        0.150127,
        0.150934,
        0.148226,
        0.147072,
        0.146377,
        0.144439,
        0.142736,
        0.143535,
        0.142391,
        0.141338,
        0.142629,
        0.140852,
        0.139295,
        0.139093,
        0.14009,
        0.139846,
        0.137697,
        0.136635,
        0.136666,
        0.139029,
        0.140626,
        0.141025,
        0.139227,
        0.138517,
        0.137339,
        0.137639,
        0.141918,
        0.142135,
        0.138092,
        0.137815,
        0.137932,
        0.139202,
        0.141186,
        0.143425,
        0.143479,
        0.144739,
        0.146221,
        0.145762,
        0.157381,
        0.147417,
        0.149563,
        0.151221,
        0.152133,
        0.15271,
        0.152338,
        0.152686,
        0.153584,
        0.156805,
        0.16162,
        0.162676,
        0.163391,
        0.162849,
        0.166238,
        0.170945,
        0.173848,
        0.177456,
        0.183701,
        0.193602,
        0.205621,
        0.218096,
        0.236217,
        0.253249,
        0.24249,
        0.229907,
        0.221817,
        0.203535,
        0.207749,
        0.203128,
        0.230448,
        0.273212,
        0.300892,
        0.309892,
        0.308894,
        0.199843,
        0.186469,
        0.177246,
        0.170501,
        0.16412,
        0.159434,
        0.156662,
        0.154156,
        0.152125,
        0.149728,
        0.148551,
        0.14607,
        0.14458,
        0.141606,
        0.140308,
        0.142906,
        0.143069,
        0.141337,
        0.141349,
        0.141559,
        0.137774,
        0.136062,
        0.135557,
        0.135917,
        0.140529,
        0.137559,
        0.140949,
        0.143792,
        0.137573,
        0.136257,
        0.136762,
        0.135922,
        0.134167,
        0.133064,
        0.134123,
        0.133538,
        0.136261,
        0.137048,
        0.136155,
        0.134272,
        0.133116,
        0.132041,
        0.131306,
        0.130128,
        0.128483,
        0.128421,
        0.12714,
        0.126415,
        0.127613,
        0.128056,
        0.12613,
        0.126621,
        0.128736,
        0.1296,
        0.128968,
        0.128324,
        0.128235,
        0.12725,
        0.128781,
        0.128812,
        0.13,
        0.129104,
        0.129889,
        0.134058,
        0.13594,
        0.138193,
        0.14319,
        0.149254,
        0.155743,
        0.15663,
        0.158036,
        0.158943,
        0.155187,
        0.14781,
        0.145415,
        0.143339,
        0.140625,
        0.138189,
        0.137612,
        0.137004,
        0.134037,
        0.131184,
        0.131779,
        0.132651,
        0.132826,
        0.131751,
        0.13013,
        0.130252,
        0.132666,
        0.130685,
        0.131147,
        0.131368,
        0.130461,
        0.130041,
        0.128218,
        0.126457,
        0.12656,
        0.126818,
        0.126406,
        0.127263,
        0.128337,
        0.135366,
        0.129665,
        0.12766,
        0.12733,
        0.127125,
        0.126951,
        0.128323,
        0.129328,
        0.12921,
        0.128759,
        0.127748,
        0.125837,
        0.124163,
        0.124252,
        0.123937,
        0.123868,
        0.122273,
        0.122389,
        0.12847,
        0.127538,
        0.122082,
        0.121285,
        0.12206,
        0.122578,
        0.122803,
        0.1233,
        0.125098,
        0.126172,
        0.131505,
        0.135338,
        0.124833,
        0.125524,
        0.126803,
        0.127696,
        0.1263,
        0.137532,
        0.141191,
        0.13311,
        0.131834,
        0.132289,
        0.133535,
        0.134217,
        0.133875,
        0.131569,
        0.130868,
        0.131101,
        0.130793,
        0.130487,
        0.128943,
        0.129031,
        0.128466,
        0.127951,
        0.127987,
        0.128645,
        0.133297,
        0.133879,
        0.129903,
        0.128627,
        0.127561,
        0.12754,
        0.127997,
        0.128189,
        0.128025,
        0.127122,
        0.125511,
        0.124303,
        0.125265,
        0.125212,
        0.137982,
        0.138656,
        0.126907,
        0.127242,
        0.129017,
        0.127867,
        0.127959,
        0.128256,
        0.127541,
        0.126166,
        0.126513,
        0.126112,
        0.12545,
        0.126698,
        0.123663,
        0.122431,
        0.123044,
        0.125333,
        0.125729,
        0.12539,
        0.125691,
        0.127193,
        0.129553,
        0.131525,
        0.13316,
        0.136675,
        0.141267,
        0.1483,
        0.178809,
        0.213298,
        0.274931,
        0.233008,
        0.199196,
        0.175298,
        0.160085,
        0.150477,
        0.145163,
        0.139254,
        0.136606,
        0.135212,
        0.133003,
        0.132486,
        0.131892,
        0.129452,
        0.12932,
        0.130261,
        0.131122,
        0.13005,
        0.129736,
        0.127786,
        0.128863,
        0.130508,
        0.129145,
        0.126442,
        0.126402,
        0.129404,
        0.132086,
        0.131793,
        0.134522,
        0.136923,
        0.138688,
        0.141953,
        0.141966,
        0.139502,
        0.135835,
        0.143532,
        0.145384,
        0.130835,
        0.130107,
        0.129046,
        0.128831,
        0.128172,
        0.126873,
        0.125099,
        0.126551,
        0.128858,
        0.128611,
        0.127367,
        0.127452,
        0.129231,
        0.131924,
        0.138113,
        0.14087,
        0.134207,
        0.135499,
        0.138243,
        0.145896,
        0.153944,
        0.161297,
        0.172817,
        0.183258,
        0.189234,
        0.181067,
        0.168926,
        0.161639,
        0.154832,
        0.152031,
        0.145806,
        0.14004,
        0.137233,
        0.138704,
        0.1365,
        0.135925,
        0.135272,
        0.135152,
        0.13497,
        0.1431,
        0.143292,
        0.139574,
        0.138875,
        0.139802,
        0.140465,
        0.140418,
        0.142584,
        0.148439,
        0.154424,
        0.159698,
        0.163375,
        0.164378,
        0.161973,
        0.160039,
        0.155105,
        0.150194,
        0.147187,
        0.144239,
        0.141941,
        0.141342,
        0.142978,
        0.143225,
        0.141338,
        0.13847,
        0.136864,
        0.136117,
        0.137406,
        0.136923,
        0.13621,
        0.138166,
        0.138456,
        0.141209,
        0.143289,
        0.148513,
        0.155947,
        0.165292,
        0.173647,
        0.175855,
        0.178287,
        0.175696,
        0.163357,
        0.156597,
        0.155299,
        0.151277,
        0.147887,
        0.148124,
        0.147338,
        0.149566,
        0.149454,
        0.16069,
        0.172356,
        0.1556,
        0.147493,
        0.15041,
        0.153359,
        0.154577,
        0.154658,
        0.159941,
        0.169068,
        0.191739,
        0.203071,
        0.206968,
        0.205745,
        0.201197,
        0.190279,
        0.171899,
        0.167514,
        0.164132,
        0.161765,
        0.163917,
        0.16603,
        0.179803,
        0.178789,
        0.166916,
        0.165106,
        0.16858,
        0.170138,
        0.171868,
        0.177383,
        0.189287,
        0.201138,
        0.223887,
        0.218582,
        0.20967,
        0.198707,
        0.189731,
        0.183299,
        0.182048,
        0.180943,
        0.185347,
        0.185265,
        0.183381,
        0.187541,
        0.19296,
        0.200594,
        0.220035,
        0.309466,
        0.331881,
        0.249749,
        0.236319,
        0.232895,
        0.234205,
        0.240028,
        0.246767,
        0.254452,
        0.328609,
        null,
        0.260692,
        0.272778,
        0.341667,
        0.277687,
        0.204726,
        0.206022,
        0.198543,
        0.18882,
        0.184695,
        0.184979,
        0.185999,
        0.180613,
        0.176266,
        0.173108,
        0.169613,
        0.165815,
        0.164529,
        0.163912,
        0.162002,
        0.157676,
        0.157623,
        0.15759,
        0.159024,
        0.161205,
        0.158565,
        0.153131,
        0.151955,
        0.151661,
        0.149986,
        0.148024,
        0.148845,
        0.149078,
        0.148217,
        0.14893,
        0.147302,
        0.144891,
        0.147448,
        0.149256,
        0.145721,
        0.144142,
        0.144365,
        0.14443,
        0.143647,
        0.146278,
        0.146689,
        0.146252,
        0.146012,
        0.145297,
        0.144603,
        0.147178,
        0.149744,
        0.149284,
        0.147413,
        0.147596,
        0.146175,
        0.145318,
        0.146278,
        0.146826,
        0.146283,
        0.146769,
        0.145,
        0.144521,
        0.144207,
        0.145379,
        0.145669,
        0.146889,
        0.147318,
        0.146042,
        0.146533,
        0.145771,
        0.146654,
        0.145241,
        0.14521,
        0.14683,
        0.144507,
        0.142578,
        0.140571,
        0.143215,
        0.142465,
        0.14094,
        0.141522,
        0.142214,
        0.140671,
        0.155993,
        0.163232,
        0.140626,
        0.141666,
        0.141633,
        0.140907,
        0.138344,
        0.13736,
        0.137114,
        0.136344,
        0.134872,
        0.13344,
        0.134612,
        0.136969,
        0.138598,
        0.137212,
        0.147897,
        0.146036,
        0.133961,
        0.133509,
        0.134913,
        0.13407,
        0.134393,
        0.144107,
        0.146791,
        0.136125,
        0.138282,
        0.139195,
        0.141505,
        0.140152,
        0.137468,
        0.137383,
        0.139355,
        0.14026,
        0.140481,
        0.13916,
        0.142719,
        0.14182,
        0.140416,
        0.141386,
        0.143469,
        0.146066,
        0.147095,
        0.145629,
        0.144303,
        0.143756,
        0.145481,
        0.162166,
        0.162179,
        0.148984,
        0.148589,
        0.146864,
        0.147404,
        0.150281,
        0.156956,
        0.16073,
        0.161381,
        0.161067,
        0.161279,
        0.157984,
        0.154829,
        0.154716,
        0.155625,
        0.15075,
        0.148625,
        0.147332,
        0.144963,
        0.144384,
        0.14548,
        0.146471,
        0.14739,
        0.147982,
        0.148795,
        0.150147,
        0.149192,
        0.146043,
        0.147153,
        0.151959,
        0.15608,
        0.159854,
        0.162558,
        0.162192,
        0.162043,
        0.162864,
        0.163032,
        0.161341,
        0.159223,
        0.155944,
        0.152937,
        0.149779,
        0.147699,
        0.146863,
        0.14782,
        0.149318,
        0.145934,
        0.145476,
        0.143802,
        0.141647,
        0.141604,
        0.141733,
        0.14198,
        0.142298,
        0.142429,
        0.145632,
        0.144945,
        0.144669,
        0.144519,
        0.145866,
        0.145506,
        0.144787,
        0.145257,
        0.156687,
        0.163414,
        0.143152,
        0.145981,
        0.147074,
        0.148021,
        0.148235,
        0.149393,
        0.146322,
        0.144999,
        0.145555,
        0.147532,
        0.149117,
        0.147965,
        0.145854,
        0.145418,
        0.14598,
        0.146509,
        0.145156,
        0.148021,
        0.149712,
        0.145458,
        0.143961,
        0.144448,
        0.144671,
        0.145569,
        0.145763,
        0.143959,
        0.142236,
        0.141016,
        0.142295,
        0.142613,
        0.14204,
        0.141787,
        0.142101,
        0.141002,
        0.153489,
        0.152433,
        0.144854,
        0.150575,
        0.156932,
        0.148308,
        0.143421,
        0.141335,
        0.141122,
        0.143097,
        0.143154,
        0.140031,
        0.140376,
        0.141982,
        0.141571,
        0.14336,
        0.143394,
        0.14285,
        0.142964,
        0.144574,
        0.147168,
        0.14301,
        0.142538,
        0.144757,
        0.143772,
        0.146764,
        0.147676,
        0.147275,
        0.145021,
        0.14567,
        0.145788,
        0.146431,
        0.14872,
        0.148996,
        0.150752,
        0.150786,
        0.148205,
        0.146767,
        0.149909,
        0.152678,
        0.151615,
        0.150346,
        0.151639,
        0.151651,
        0.151684,
        0.162331,
        0.157412,
        0.150218,
        0.15166,
        0.153936,
        0.154732,
        0.152125,
        0.148742,
        0.149972,
        0.153239,
        0.151483,
        0.149527,
        0.150175,
        0.148609,
        0.146698,
        0.159592,
        0.160887,
        0.152883,
        0.154513,
        0.154519,
        0.152336,
        0.152421,
        0.151621,
        0.148753,
        0.145176,
        0.147679,
        0.14999,
        0.150793,
        0.150133,
        0.148729,
        0.149587,
        0.152035,
        0.148546,
        0.148288,
        0.155043,
        0.153764,
        0.145637,
        0.148201,
        0.149246,
        0.147162,
        0.148713,
        0.150631,
        0.150789,
        0.151032,
        0.153946,
        0.156652,
        0.151678,
        0.152363,
        0.154056,
        0.152051,
        0.15475,
        0.158289,
        0.157576,
        0.157016,
        0.166801,
        0.161849,
        0.161011,
        0.164601,
        0.166931,
        0.169671,
        0.174861,
        0.181433,
        0.191638,
        0.201509,
        0.195464,
        0.178072,
        0.174367,
        0.171552,
        0.172466,
        0.169452,
        0.165978,
        0.164451,
        0.164772,
        0.165873,
        0.16325,
        0.163086,
        0.162972,
        0.161734,
        0.1628,
        0.162255,
        0.160228,
        0.16003,
        0.159982,
        0.160809,
        0.15988,
        0.163634,
        0.163165,
        0.15639,
        0.156141,
        0.154746,
        0.152955,
        0.152593,
        0.157733,
        0.157109,
        0.154385,
        0.153632,
        0.153698,
        0.156798,
        0.157437,
        0.156691,
        0.157278,
        0.157317,
        0.156329,
        0.156616,
        0.156664,
        0.15609,
        0.15605,
        0.157235,
        0.159648,
        0.162138,
        0.172418,
        0.182895,
        0.161216,
        0.162446,
        0.167396,
        0.168449,
        0.163187,
        0.164047,
        0.162671,
        0.162444,
        0.162794,
        0.161101,
        0.160353,
        0.162863,
        0.163891,
        0.163692,
        0.166806,
        0.167721,
        0.173366,
        0.171462,
        0.172212,
        0.171432,
        0.170728,
        0.191952,
        0.192178,
        0.171114,
        0.169913,
        0.169007,
        0.165576,
        0.167477,
        0.168145,
        0.167808,
        0.168831,
        0.168532,
        0.168394,
        0.166696,
        0.165587,
        0.167371,
        0.168483,
        0.168717,
        0.16794,
        0.167681,
        0.169683,
        0.181347,
        0.178616,
        0.165826,
        0.16694,
        0.165459,
        0.164803,
        0.163568,
        0.165913,
        0.167206,
        0.167071,
        0.166473,
        0.180401,
        0.173348,
        0.166192,
        0.164649,
        0.163149,
        0.163803,
        0.165975,
        0.167132,
        0.167046,
        0.16594,
        0.166863,
        0.168524,
        0.16709,
        0.167361,
        0.166755,
        0.168648,
        0.171655,
        0.172723,
        0.174793,
        0.173114,
        0.17537,
        0.174381,
        0.174142,
        0.17333,
        0.17355,
        0.173878,
        0.173779,
        0.176415,
        0.177971,
        0.177335,
        0.180018,
        0.178262,
        0.178883,
        0.188129,
        0.190114,
        0.182682,
        0.181002,
        0.1803,
        0.184113,
        0.182139,
        0.183656,
        0.184736,
        0.184332,
        0.184403,
        0.186542,
        0.185007,
        0.184584,
        0.18184,
        0.179493,
        0.182975,
        0.183736,
        0.182853,
        0.181661,
        0.182617,
        0.199224,
        0.199744,
        0.185099,
        0.187042,
        0.186419,
        0.189016,
        0.18887,
        0.186529,
        0.184596,
        0.184893,
        0.184794,
        0.189335,
        0.193213,
        0.193486,
        0.194325,
        0.197945,
        0.200703,
        0.193368,
        0.196429,
        0.200176,
        0.204537,
        0.209385,
        0.247449,
        0.222935,
        0.234005,
        0.247232,
        0.292961,
        0.271628,
        0.250055,
        0.245072,
        0.238634,
        0.233024,
        0.225256,
        0.222193,
        0.222822,
        0.225973,
        0.236992,
        0.218244,
        0.217325,
        0.21708,
        0.217532,
        0.216741,
        0.217376,
        0.214272,
        0.215215,
        0.222718,
        0.216995,
        0.21376,
        0.212264,
        0.213191,
        0.213514,
        0.215388,
        0.216921,
        0.216654,
        0.214808,
        0.214737,
        0.21311,
        0.243917,
        0.24465,
        0.214746,
        0.213754,
        0.213368,
        0.215232,
        0.210727,
        0.218302,
        0.216613,
        0.221537,
        0.225933,
        0.226075,
        0.225806,
        0.221793,
        0.220464,
        0.220305,
        0.224512,
        0.227119,
        0.229545,
        0.22708,
        0.226782,
        0.228776,
        0.233309,
        0.23306,
        0.235278,
        0.23744,
        0.235713,
        0.233732,
        0.232994,
        0.232431,
        0.23866,
        0.23994,
        0.239836,
        0.238154,
        0.232186,
        0.236855,
        0.237007,
        0.24013,
        0.244784,
        0.244664,
        0.240721,
        0.243257,
        0.242414,
        0.244295,
        0.254927,
        0.260967,
        null,
        null,
        0.526691,
        0.528218,
        0.548344,
        0.518162,
        0.483838,
        0.62179,
        0.459363,
        0.459822,
        0.502419,
        0.472344,
        0.453588,
        0.444576,
        0.387701,
        0.382202,
        0.39126,
        0.3844,
        0.383566,
        0.393427,
        0.375204,
        0.392544,
        0.395365,
        0.394898,
        0.396035,
        0.403614,
        0.419265,
        0.433211,
        0.400371,
        0.3988,
        0.384619,
        0.396769,
        0.402242,
        0.389081,
        0.384964,
        0.379265,
        0.372549,
        0.401132,
        0.370698,
        0.414329,
        0.4258,
        0.427423,
        0.421905,
        0.482617,
        0.507125,
        0.516418,
        0.509904,
        0.508316,
        0.48408,
        0.492754,
        0.497182,
        0.488329,
        0.497013,
        0.473234,
        0.493448,
        0.49389,
        0.683774,
        0.667718,
        0.674655
    ]
}